SmallDoge/stable_dataset_processed · Datasets at Hugging Face

input_ids listlengths 1 2.05k	attention_mask listlengths 1 2.05k
[ 1758, 659, 257, 13211, 825, 16733, 271, 343, 280, 293, 267, 476, 271, 343, 11025, 267, 476, 271, 343, 272, 290, 1070, 834, 3725, 1030, 7108, 257, 13211, 825, 16733, 271, 343, 280, 293, 267, 476, 271, 343, 280, 293, 267, 476, 271, 343, 280, 290, 1070, 834, 30252, 28545, 257, 13211, 825, 16733, 271, 343, 280, 293, 267, 476, 271, 343, 288, 271, 267, 476, 271, 343, 289, 272, 1070, 834, 306, 656, 553, 22630, 257, 13211, 825, 16733, 271, 343, 280, 293, 267, 476, 271, 343, 291, 278, 267, 476, 271, 343, 291, 274, 1070, 834, 306, 514, 21112, 257, 13211, 825, 16733, 271, 343, 280, 293, 267, 476, 271, 343, 24884, 267, 476, 271, 343, 279, 290, 1070, 834, 8722, 6359, 10394, 257, 13211, 825, 16733, 271, 343, 288, 271, 267, 476, 271, 343, 2767, 267, 476, 271, 343, 1321, 1070, 834, 307, 629, 553, 1723, 257, 13211, 825, 16733, 271, 343, 288, 272, 267, 476, 271, 343, 4037, 267, 476, 271, 343, 271, 291, 1070, 834, 3719, 339, 1229, 681, 636, 257, 13211, 825, 16733, 271, 343, 288, 272, 267, 476, 271, 343, 4696, 267, 476, 271, 343, 289, 276, 1070, 834, 295, 527, 22630, 257, 13211, 825, 16733, 271, 343, 288, 272, 267, 476, 271, 343, 290, 276, 267, 476, 271, 343, 271, 288, 1070, 834, 290, 527, 6350, 257, 13211, 825, 16733, 271, 343, 288, 272, 267, 476, 271, 343, 6395, 267, 476, 271, 343, 291, 278, 1070, 834, 288, 638, 320, 6816, 257, 13211, 825, 16733, 271, 343, 288, 272, 267, 476, 271, 343, 292, 280, 267, 476, 271, 343, 14701, 1070, 834, 12850, 23516, 257, 13211, 825, 16733, 271, 343, 288, 273, 267, 476, 271, 343, 876, 267, 476, 271, 343, 277, 291, 1070, 834, 14503, 7398, 257, 13211, 825, 16733, 271, 343, 288, 273, 267, 476, 271, 343, 274, 289, 267, 476, 271, 343, 277, 290, 1070, 834, 305, 537, 613, 257, 13211, 825, 16733, 271, 343, 288, 273, 267, 476, 271, 343, 5780, 267, 476, 271, 343, 3393, 1070, 834, 290, 1901, 623, 718, 16014, 257, 13211, 825, 16733, 271, 343, 288, 273, 267, 476, 271, 343, 8150, 267, 476, 271, 343, 289, 274, 1070, 834, 294, 2001, 932, 622, 879, 257, 13211, 825, 16733, 271, 343, 288, 273, 267, 476, 271, 343, 20067, 267, 476, 271, 343, 5723, 1070, 834, 10955, 1189, 257, 13211, 825, 16733, 271, 343, 288, 274, 267, 476, 271, 343, 3199, 267, 476, 271, 343, 278, 289, 1070, 834, 4942, 22611, 777, 257, 13211, 825, 16733, 271, 343, 288, 274, 267, 476, 271, 343, 9032, 267, 476, 271, 343, 289, 275, 1070, 834, 8649, 996, 22438, 3911, 5803, 257, 13211, 825, 16733, 271, 343, 288, 274, 267, 476, 271, 343, 292, 274, 267, 476, 271, 343, 3633, 1070, 834, 7922, 11170, 731, 9791, 257, 13211, 825, 16733, 271, 343, 288, 275, 267, 476, 271, 343, 288, 275, 267, 476, 271, 343, 280, 291, 1070, 834, 18773, 257, 13211, 825, 16733, 271, 343, 288, 275, 267, 476, 271, 343, 288, 277, 267, 476, 271, 343, 291, 274, 1070, 834, 310, 626, 995, 257, 13211, 825, 16733, 271, 343, 288, 275, 267, 476, 271, 343, 28425, 267, 476, 271, 343, 277, 292, 1070, 834, 16675, 3911, 5803, 257, 13211, 825, 16733, 271, 343, 288, 276, 267, 476, 271, 343, 271, 289, 267, 476, 271, 343, 276, 292, 1070, 834, 297, 9579, 9440, 11918, 257, 13211, 825, 16733, 271, 343, 288, 276, 267, 476, 271, 343, 280, 289, 267, 476, 271, 343, 11011, 1070, 834, 313, 528, 9346, 257, 13211, 825, 16733, 271, 343, 288, 276, 267, 476, 271, 343, 290, 289, 267, 476, 271, 343, 271, 290, 1070, 834, 289, 1695, 807, 257, 13211, 825, 16733, 271, 343, 288, 277, 267, 476, 271, 343, 273, 293, 267, 476, 271, 343, 736, 1070, 834, 305, 334, 1993, 6833, 2350, 27198, 257, 13211, 825, 16733, 271, 343, 288, 277, 267, 476, 271, 343, 4649, 267, 476, 271, 343, 3066, 1070, 834, 25508, 22611, 257, 13211, 825, 16733, 271, 343, 288, 277, 267, 476, 271, 343, 279, 289, 267, 476, 271, 343, 276, 289, 1070, 834, 21574, 2917, 12397, 257, 13211, 825, 16733, 271, 343, 288, 277, 267, 476, 271, 343, 10844, 267, 476, 271, 343, 8064, 1070, 834, 10673, 4486, 9466, 257, 13211, 825, 16733, 271, 343, 288, 277, 267, 476, 271, 343, 288, 273, 267, 476, 271, 343, 280, 288, 1070, 834, 291, 11921, 257, 13211, 825, 16733, 271, 343, 288, 278, 267, 476, 271, 343, 1839, 267, 476, 271, 343, 1839, 1070, 834, 300, 1410, 4618, 4414, 257, 13211, 825, 16733, 271, 343, 288, 278, 267, 476, 271, 343, 6434, 267, 476, 271, 343, 273, 290, 1070, 834, 299, 5060, 528, 7108, 257, 13211, 825, 16733, 271, 343, 288, 279, 267, 476, 271, 343, 7871, 267, 476, 271, 343, 5881, 1070, 834, 23613, 7108, 257, 13211, 825, 16733, 271, 343, 288, 279, 267, 476, 271, 343, 4792, 267, 476, 271, 343, 1428, 1070, 834, 30262, 334, 9995, 257, 13211, 825, 16733, 271, 343, 288, 279, 267, 476, 271, 343, 277, 289, 267, 476, 271, 343, 277, 289, 1070, 834, 290, 7394, 10326, 257, 13211, 825, 16733, 271, 343, 288, 279, 267, 476, 271, 343, 7176, 267, 476, 271, 343, 280, 289, 1070, 834, 291, 755, 344, 22630, 257, 13211, 825, 16733, 271, 343, 288, 279, 267, 476, 271, 343, 4200, 267, 476, 271, 343, 292, 277, 1070, 834, 291, 1638, 30225, 2658, 257, 13211, 825, 16733, 271, 343, 288, 279, 267, 476, 271, 343, 288, 276, 267, 476, 271, 343, 8660, 1070, 834, 307, 9994, 257, 13211, 825, 16733, 271, 343, 288, 279, 267, 476, 271, 343, 20067, 267, 476, 271, 343, 280, 290, 1070, 834, 289, 644, 257, 13211, 825, 16733, 271, 343, 288, 279, 267, 476, 271, 343, 28425, 267, 476, 271, 343, 279, 292, 1070, 834, 299, 665, 755, 257, 13211, 825, 16733, 271, 343, 288, 279, 267, 476, 271, 343, 9720, 267, 476, 271, 343, 280, 293, 1070, 834, 301, 528, 3118, 257, 13211, 825, 16733, 271, 343, 288, 279, 267, 476, 271, 343, 292, 274, 267, 476, 271, 343, 9720, 1070, 834, 2419, 514, 809, 257, 13211, 825, 16733, 271, 343, 288, 280, 267, 476, 271, 343, 288, 275, 267, 476, 271, 343, 11011, 1070, 834, 294, 2001, 29106, 257, 13211, 825, 16733, 271, 343, 288, 280, 267, 476, 271, 343, 3722, 267, 476, 271, 343, 289, 277, 1070, 834, 2704, 6058, 1756, 257, 13211, 825, 16733, 271, 343, 288, 280, 267, 476, 271, 343, 289, 273, 267, 476, 271, 343, 290, 274, 1070, 834, 290, 611, 564, 9791, 257, 13211, 825, 16733, 271, 343, 288, 280, 267, 476, 271, 343, 289, 275, 267, 476, 271, 343, 9032, 1070, 834, 19913, 626, 257, 13211, 825, 16733, 271, 343, 288, 280, 267, 476, 271, 343, 9720, 267, 476, 271, 343, 289, 293, 1070, 834, 307, 1077, 22630, 257, 13211, 825, 16733, 271, 343, 288, 280, 267, 476, 271, 343, 23813, 267, 476, 271, 343, 293, 273, 1070, 834, 8110, 8457, 257, 13211, 825, 16733, 271, 343, 288, 280, 267, 476, 271, 343, 290, 277, 267, 476, 271, 343, 290, 273, 1070, 834, 302, 25659, 257, 13211, 825, 16733, 271, 343, 8150, 267, 476, 271, 343, 4391, 267, 476, 271, 343, 276, 288, 1070, 834, 301, 697, 1744, 611, 345, 257, 13211, 825, 16733, 271, 343, 8150, 267, 476, 271, 343, 5655, 267, 476, 271, 343, 6734, 1070, 834, 27852, 257, 13211, 825, 16733, 271, 343, 8150, 267, 476, 271, 343, 279, 289, 267, 476, 271, 343, 276, 289, 1070, 834, 300, 1132, 2993, 257, 13211, 825, 16733, 271, 343, 8150, 267, 476, 271, 343, 279, 291, 267, 476, 271, 343, 277, 293, 1070, 834, 306, 663, 531, 257, 13211, 825, 16733, 271, 343, 8150, 267, 476, 271, 343, 288, 276, 267, 476, 271, 343, 288, 280, 1070, 834, 4537, 8014, 15248, 257, 13211, 825, 16733, 271, 343, 8150, 267, 476, 271, 343, 288, 280, 267, 476, 271, 343, 7374, 1070, 834, 19868, 534, 257, 13211, 825, 16733, 271, 343, 8150, 267, 476, 271, 343, 5723, 267, 476, 271, 343, 289, 278, 1070, 834, 8967, 684, 23421, 257, 13211, 825, 16733, 271, 343, 8150, 267, 476, 271, 343, 291, 277, 267, 476, 271, 343, 292, 277, 1070, 834, 8802, 550, 853, 9791, 257, 13211, 825, 16733, 271, 343, 8150, 267, 476, 271, 343, 293, 271, 267, 476, 271, 343, 291, 272, 1070, 834, 300, 20723, 631, 842, 257, 13211, 825, 16733, 271, 343, 5723, 267, 476, 271, 343, 4962, 267, 476, 271, 343, 8287, 1070, 834, 299, 760, 22496, 257, 13211, 825, 16733, 271, 343, 5723, 267, 476, 271, 343, 4097, 267, 476, 271, 343, 7761, 1070, 834, 305, 5819, 1261, 987, 257, 13211, 825, 16733, 271, 343, 5723, 267, 476, 271, 343, 11011, 267, 476, 271, 343, 278, 288, 1070, 834, 306, 663, 337, 3424, 257, 13211, 825, 16733, 271, 343, 5723, 267, 476, 271, 343, 288, 271, 267, 476, 271, 343, 291, 280, 1070, 834, 290, 1245, 31947, 257, 13211, 825, 16733, 271, 343, 5723, 267, 476, 271, 343, 288, 272, 267, 476, 271, 343, 9834, 1070, 834, 289, 1258, 1723, 257, 13211, 825, 16733, 271, 343, 3722, 267, 476, 271, 343, 279, 288, 267, 476, 271, 343, 6321, 1070, 834, 21918, 539, 18718, 257, 13211, 825, 16733, 271, 343, 3722, 267, 476, 271, 343, 11011, 267, 476, 271, 343, 4753, 1070, 834, 292, 770, 17121, 257, 13211, 825, 16733, 271, 343, 3722, 267, 476, 271, 343, 280, 292, 267, 476, 271, 343, 2420, 1070, 834, 299, 655, 517, 717, 5424, 257, 13211, 825, 16733, 271, 343, 3722, 267, 476, 271, 343, 288, 275, 267, 476, 271, 343, 11463, 1070, 834, 301, 23981, 257, 13211, 825, 16733, 271, 343, 3722, 267, 476, 271, 343, 288, 276, 267, 476, 271, 343, 10436, 1070, 834, 295, 16736, 257, 13211, 825, 16733, 271, 343, 3722, 267, 476, 271, 343, 288, 276, 267, 476, 271, 343, 280, 293, 1070, 834, 30208, 344, 257, 13211, 825, 16733, 271, 343, 3722, 267, 476, 271, 343, 3722, 267, 476, 271, 343, 3722, 1070, 834, 22068, 591, 30634, 823, 257, 13211, 825, 16733, 271, 343, 3722, 267, 476, 271, 343, 289, 278, 267, 476, 271, 343, 279, 292, 1070, 834, 18933, 2086, 5682, 257, 13211, 825, 16733, 271, 343, 3722, 267, 476, 271, 343, 290, 289, 267, 476, 271, 343, 289, 272, 1070, 834, 306, 7428, 14175, 257, 13211, 825, 16733, 271, 343, 3722, 267, 476, 271, 343, 24884, 267, 476, 271, 343, 275, 291, 1070, 834, 3519, 11717, 257, 13211, 825, 16733, 271, 343, 3722, 267, 476, 271, 343, 292, 272, 267, 476, 271, 343, 28425, 1070, 834, 290, 601, 611, 517, 257, 13211, 825, 16733, 271, 343, 4696, 267, 476, 271, 343, 4281, 267, 476, 271, 343, 272, 289, 1070, 834, 300, 663, 531, 599, 257, 13211, 825, 16733, 271, 343, 4696, 267, 476, 271, 343, 23813, 267, 476, 271, 343, 291, 272, 1070, 834, 290, 28771, 257, 13211, 825, 16733, 271, 343, 4696, 267, 476, 271, 343, 5263, 267, 476, 271, 343, 4696, 1070, 834, 300, 1601, 5682, 257, 13211, 825, 16733, 271, 343, 4696, 267, 476, 271, 343, 292, 277, 267, 476, 271, 343, 290, 275, 1070, 834, 303, 611, 7699, 257, 13211, 825, 16733, 271, 343, 4696, 267, 476, 271, 343, 13697, 267, 476, 271, 343, 273, 293, 1070, 834, 16675, 14117, 257, 13211, 825, 16733, 271, 343, 20067, 267, 476, 271, 343, 3393, 267, 476, 271, 343, 2568, 1070, 834, 295, 2089, 773, 25968, 257, 13211, 825, 16733, 271, 343, 20067, 267, 476, 271, 343, 2568, 267, 476, 271, 343, 736, 1070, 834, 5327, 1068, 257, 13211, 825, 16733, 271, 343, 20067, 267, 476, 271, 343, 3199, 267, 476, 271, 343, 280, 292, 1070, 834, 289, 537, 21103, 257, 13211, 825, 16733, 271, 343, 28425, 267, 476, 271, 343, 2412, 267, 476, 271, 343, 3374, 1070, 834, 8469, 1756, 25844, 710, 257, 13211, 825, 16733, 271, 343, 28425, 267, 476, 271, 343, 275, 291, 267, 476, 271, 343, 6246, 1070, 834, 7343, 548, 2349, 1601, 558, 257, 13211, 825, 16733, 271, 343, 28425, 267, 476, 271, 343, 6795, 267, 476, 271, 343, 274, 292, 1070, 834, 31342, 681, 755, 257, 13211, 825, 16733, 271, 343, 28425, 267, 476, 271, 343, 9262, 267, 476, 271, 343, 7906, 1070, 834, 7804, 3424, 6229, 257 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2750, 1815, 5737, 8647, 630, 9128, 264, 568, 513, 15491, 5778, 17595, 1670, 4020, 602, 666, 581, 3989, 607, 630, 272, 264, 8108, 267, 630, 273, 264, 4509, 267, 543, 630, 274, 264, 13346, 2790, 5036, 267, 7222, 547, 519, 5759, 547, 630, 272, 264, 2601, 543, 5352, 3853, 543, 4566, 267, 630, 273, 264, 2226, 1445, 543, 8404, 547, 1246, 998, 609, 3853, 543, 4566, 267, 543, 630, 274, 264, 4827, 4601, 7369, 3853, 543, 4566, 538, 3210, 547, 4657, 20314, 4293, 563, 10932, 5473, 31246, 814, 1831, 5051, 2442, 538, 513, 1297, 540, 10459, 1519, 8965, 4915, 543, 7209, 1382, 563, 763, 1459, 2376, 14592, 930, 540, 519, 2591, 5185, 676, 31246, 3173, 267, 607, 1134, 607, 13713, 8039, 3140, 5133, 543, 5778, 534, 520, 13929, 24598, 25751, 540, 31246, 547, 1683, 6626, 2796, 563, 32747, 14245, 540, 31246, 22907, 267, 8847, 543, 10512, 1436, 540, 519, 733, 338, 1192, 267, 607, 1134, 607, 5542, 540, 3617, 4879, 2409, 616, 3177, 563, 763, 2376, 20147, 609, 2489, 1309, 1903, 543, 4808, 585, 3173, 563, 1607, 568, 513, 12744, 540, 20478, 1543, 267, 1569, 3842, 707, 9872, 563, 290, 17026, 902, 808, 299, 267, 16019, 19154, 269, 10417, 783, 543, 4791, 3344, 540, 519, 28882, 10981, 525, 269, 634, 1480, 28882, 10981, 525, 281, 12793, 543, 4713, 269, 476, 273, 526, 1196, 269, 1715, 3840, 267, 12924, 267, 2475, 281, 2871, 559, 5112, 4964, 282, 476, 1220, 278, 281, 1321, 1700, 2641, 563, 294, 9579, 1446, 344, 589, 267, 667, 262, 19324, 1842, 17010, 631, 267, 16019, 19154, 267, 595, 17026, 902, 808, 299, 269, 1133, 4328, 4776, 30613, 16794, 1599, 281, 15445, 1852, 267, 8849, 5121, 267, 543, 1283, 16365, 25244, 269, 634, 1480, 28882, 10981, 525, 281, 12793, 543, 4713, 269, 476, 273, 526, 1196, 269, 1715, 3840, 267, 12924, 267, 2475, 281, 2871, 559, 5112, 4964, 282, 476, 1220, 278, 281, 6942, 1700, 18684, 563, 293, 13831, 808, 301, 300, 269, 634, 4776, 30613, 16794, 540, 519, 929, 1493, 281, 589, 5348, 18462, 269, 5369, 984, 5735, 269, 476, 1220, 271, 282, 476, 2764, 281, 476, 10219, 1700, 14530, 563, 289, 2313, 717, 267, 17793, 345, 1512, 29273, 267, 681, 879, 577, 20793, 267, 1696, 620, 269, 1323, 10262, 524, 532, 3634, 16794, 14524, 538, 3007, 12413, 7228, 270, 30104, 13808, 4524, 7000, 676, 535, 28122, 543, 519, 25478, 853, 549, 641, 269, 22776, 24741, 269, 476, 1960, 280, 282, 476, 3393, 281, 476, 15150, 273, 1700, 14028, 273, 563, 306, 1168, 1841, 7641, 267, 29828, 1841, 10790, 269, 11724, 725, 540, 30973, 11479, 538, 8544, 658, 16794, 267, 31443, 555, 31726, 267, 20968, 31726, 543, 4571, 28090, 269, 11020, 1763, 18409, 269, 476, 1220, 274, 282, 476, 8618, 281, 476, 1839, 1700, 5392, 563, 17951, 18115, 328, 589, 267, 6022, 4861, 320, 667, 267, 22616, 698, 718, 334, 589, 267, 8575, 2884, 16210, 589, 267, 853, 1122, 1725, 334, 700, 269, 16508, 15717, 1310, 1318, 10739, 1993, 30613, 27295, 538, 513, 3461, 1510, 5042, 22907, 269, 11671, 516, 1636, 269, 476, 1960, 280, 282, 476, 1015, 281, 476, 14690, 272, 1700, 14690, 277, 563, 13043, 625, 523, 29851, 267, 10787, 3122, 12813, 309, 267, 590, 341, 1742, 523, 22743, 269, 18748, 19938, 543, 13809, 540, 19541, 538, 513, 8865, 540, 2107, 4226, 1993, 30613, 28864, 269, 11671, 6261, 2134, 15351, 531, 269, 476, 1220, 275, 282, 476, 277, 281, 476, 5325, 1700, 7830, 563, 307, 516, 3387, 26792, 700, 267, 5576, 738, 345, 654, 269, 25166, 731, 5829, 27090, 2534, 1282, 979, 5991, 690, 334, 4305, 2773, 538, 929, 1493, 10739, 1993, 30613, 16794, 269, 808, 11671, 31850, 2723, 269, 476, 1220, 271, 282, 476, 10695, 281, 476, 5908, 275, 1700, 6942, 277, 563, 300, 3326, 808, 267, 10507, 1782, 518, 623, 297, 267, 632, 29106, 4275, 4149, 537, 5633, 681, 269, 13571, 641, 6897, 543, 18751, 13796, 16794, 11852, 538, 513, 5837, 10385, 4305, 269, 1488, 336, 11671, 1186, 1172, 9332, 337, 269, 476, 1220, 272, 282, 476, 6795, 281, 476, 4792, 278, 1700, 277, 5038, 563, 305, 889, 344, 623, 267, 5463, 1214, 808, 269, 1215, 1131, 596, 1745, 8957, 875, 798, 596, 1589, 1352, 1131, 1745, 286, 589, 5778, 574, 1645, 1353, 540, 5133, 23824, 609, 1514, 4664, 269, 808, 595, 1758, 11671, 338, 857, 269, 476, 1220, 275, 282, 476, 1626, 281, 476, 280, 6434, 1700, 15886, 563, 298, 334, 3663, 4802, 661, 267, 5178, 810, 717, 267, 623, 2884, 337, 7236, 623, 267, 7754, 10045, 590, 267, 3400, 325, 2006, 808, 269, 634, 1909, 540, 519, 18751, 4776, 30613, 16794, 538, 1480, 17133, 269, 7186, 269, 476, 1960, 280, 282, 476, 274, 4200, 281, 476, 16825, 1700, 14681, 563, 8867, 345, 752, 11022, 267, 1215, 625, 517, 24766, 269, 700, 1681, 667, 310, 15545, 11671, 17595, 1670, 10495, 281, 10228, 2160, 4964, 282, 476, 1220, 275, 563, 1805, 1380, 667, 307, 267, 12138, 12463, 267, 4469, 31829, 667, 267, 1696, 620, 269, 26271, 566, 543, 31338, 540, 3982, 28882, 27914, 3157, 281, 15845, 689, 17122, 15087, 538, 3425, 267, 14362, 540, 28882, 27914, 1599, 269, 5507, 281, 10228, 2160, 4964, 282, 476, 1220, 273, 281, 4375, 273, 1700, 2412, 278, 563, 288, 1258, 8121, 269, 18776, 538, 10324, 1922, 4233, 1382, 281, 3245, 4247, 547, 3252, 547, 4525, 547, 5121, 269, 4354, 337, 667, 597, 5369, 565, 2233, 269, 476, 1220, 279, 282, 476, 1704, 281, 476, 14862, 1700, 15782, 563, 24154, 591, 570, 306, 267, 681, 4007, 670, 267, 16410, 324, 5633, 681, 267, 3751, 7723, 589, 269, 23398, 5778, 574, 1645, 540, 10324, 3252, 269, 18361, 540, 6198, 5778, 574, 1645, 540, 17133, 269, 476, 273, 526, 1196, 269, 11062, 267, 10790, 2475, 281, 20037, 4964, 282, 476, 1220, 277, 281, 28906, 1700, 4097, 279, 563, 302, 1777, 578, 6308, 25723, 267, 8935, 326, 615, 1399, 30250, 267, 14205, 720, 10911, 269, 634, 8849, 3060, 4493, 585, 17244, 540, 3007, 543, 10324, 1599, 538, 2101, 19591, 4524, 281, 20480, 585, 3498, 540, 519, 2564, 2068, 2203, 547, 17867, 4713, 269, 4498, 341, 4860, 24741, 269, 476, 1220, 273, 282, 476, 1015, 281, 476, 10436, 1700, 4200, 563, 307, 2131, 514, 590, 267, 595, 17026, 902, 808, 299, 269, 674, 30613, 28175, 322, 677, 673, 27090, 11387, 543, 4791, 5778, 17595, 17226, 281, 1323, 9337, 269, 808, 5369, 657, 558, 1763, 269, 476, 1220, 273, 282, 476, 7871, 281, 476, 5038, 278, 1700, 4792, 275, 563, 29409, 6308, 590, 267, 21960, 30742, 595, 267, 28822, 1601, 631, 267, 1696, 620, 269, 15445, 8647, 538, 30442, 16327, 14601, 4524, 267, 796, 13633, 4965, 267, 543, 18624, 269, 5246, 7885, 11671, 10043, 3273, 269, 476, 1220, 273, 282, 476, 1704, 281, 476, 5325, 278, 1700, 4366, 274, 563, 300, 6716, 9474, 267, 700, 559, 1329, 26709, 14298, 269, 589, 13849, 12845, 24608, 2689, 540, 519, 6935, 1063, 24431, 3469, 2623, 543, 5778, 17595, 1670, 3800, 540, 10324, 1599, 269, 7885, 5369, 565, 4860, 269, 476, 1220, 271, 282, 476, 736, 281, 476, 13647, 1700, 14444, 563, 8867, 294, 5142, 808, 267, 8709, 1234, 2131, 636, 681, 269, 634, 11671, 17595, 1670, 4856, 7758, 919, 540, 27079, 1467, 22226, 13081, 543, 2672, 20141, 29007, 269, 2052, 808, 24741, 269, 476, 1220, 277, 282, 476, 7906, 281, 476, 14530, 1700, 16318, 563, 299, 344, 22806, 657, 595, 294, 267, 25347, 4565, 3430, 589, 267, 15887, 1231, 623, 269, 1280, 326, 13516, 28882, 27914, 6794, 610, 1412, 2750, 1815, 5737, 21619, 10818, 15540, 8339, 5369, 657, 558, 18267, 269, 476, 1220, 275, 282, 476, 3393, 281, 476, 26316, 1700, 14838, 563, 21547, 17524, 534, 631, 269, 1323, 9642, 2186, 540, 21239, 281, 12267, 540, 1912, 710, 553, 717, 720, 269, 11062, 267, 10790, 2475, 281, 634, 20037, 4964, 282, 476, 1220, 271, 563, 299, 22202, 8121, 269, 634, 28882, 10981, 525, 543, 519, 7939, 540, 2623, 269, 5369, 30986, 540, 519, 28882, 10981, 525, 269, 10228, 4789, 281, 14288, 4964, 282, 476, 3192, 274, 563, 299, 22202, 8121, 267, 670, 1682, 10798, 320, 11581, 267, 2349, 1074, 990, 15382, 269, 6764, 8529, 2824, 2032, 540, 2790, 3157, 538, 7681, 609, 513, 27295, 540, 519, 28882, 27914, 269, 11671, 17595, 860, 807, 269, 476, 3422, 278, 282, 476, 276, 281, 476, 10755, 1700, 14056, 563, 299, 22202, 8121, 267, 20727, 990, 24989, 700, 309, 269, 589, 28882, 27914, 6794, 1813, 547, 513, 6147, 15842, 341, 6018, 8009, 7133, 519, 24402, 1289, 657, 636, 269, 7885, 11671, 10043, 3273, 269, 476, 3192, 280, 282, 476, 272, 281, 476, 1704, 1700, 866, 563, 8867, 345, 752, 11022, 269, 634, 1966, 540, 12570, 10324, 3252, 269, 2271, 808, 5369, 565, 269, 476, 2735, 273, 282, 476, 1704, 281, 476, 27005, 1700, 29574, 563, 291, 4428, 344, 808, 291, 267, 23720, 808, 297, 8633, 267, 590, 9994, 599, 9501, 267, 26864, 1195, 21668, 269, 13636, 4776, 30613, 25102, 27689, 281, 589, 7811, 543, 4791, 7650, 269, 634, 28882, 10981, 525, 543, 5778, 17595, 12278, 4576, 269, 1488, 28002, 267, 22622, 267, 2475, 281, 1977, 5369, 12278, 14539, 267, 5549, 5919, 476, 1220, 272, 281, 13647, 1700, 11277, 563, 293, 1074, 16998, 267, 8065, 10247, 623, 310, 267, 21244, 808, 290, 267, 1696, 620, 269, 22532, 6127, 3238, 538, 519, 4393, 540, 2518, 543, 2199, 3344, 540, 14837, 1227, 6896, 3308, 15128, 1421, 11020, 630, 14157, 269, 476, 6344, 1040, 10228, 281, 10228, 1133, 643, 4964, 267, 5291, 281, 11138, 4178, 269, 19281, 2593, 282, 476, 1960, 278, 281, 476, 10082, 280, 268, 9692, 272, 563, 301, 1408, 5459, 918, 288, 267, 18999, 2940, 14982, 14408, 267, 12275, 24170, 670, 269, 20212, 538, 519, 6198, 5778, 534, 10532, 540, 7409, 7480, 1852, 2066, 519, 2937, 1272, 12732, 269, 10017, 1299, 28544, 630, 14157, 269, 476, 1704, 1040, 6115, 267, 9823, 281, 1977, 16723, 2667, 333, 267, 5291, 281, 11138, 4178, 269, 23981, 3820, 282, 476, 1220, 273, 267, 476, 6321, 268, 10170, 563, 306, 2643, 1407, 614, 595, 25286, 267, 25538, 1676, 570, 291, 267, 700, 864, 344, 14662, 1696, 620, 269, 22732, 532, 3007, 543, 20547, 13779, 281, 535, 28122, 3800, 540, 10324, 3252, 269, 11671, 17595, 860, 807, 630, 14157, 269, 476, 6078, 1040, 24545, 281, 29021, 3163, 267, 5291, 281, 11138, 4178, 269, 12828, 22609, 2593, 282, 476, 1220, 274, 267, 476, 3374, 278, 268, 24907, 563, 10111, 28952, 15382, 267, 15651, 570, 306, 269, 769, 3031, 7480, 1852, 543, 7553, 7939, 538, 9251, 1453, 269, 595, 1758, 8061, 269, 476, 1220, 278, 282, 476, 2420, 281, 476, 4366, 280, 1700, 27944, 563, 298, 333, 565, 548, 13305, 324, 550, 329, 518, 590, 267, 670, 3578, 966, 267, 12113, 560, 331, 681, 267, 25548, 22519, 4752, 808, 289, 267, 670, 514, 2763, 4149, 601, 577, 667, 269, 5548, 599, 540, 11815, 2305, 543, 10324, 2773, 538, 2043, 609, 18624, 281, 10925, 894, 1909, 585, 4189, 2623, 543, 1560, 2597, 7939, 269, 808, 5369, 9332, 337, 1763, 269, 476, 1220, 279, 282, 476, 5655, 281, 476, 7176, 1700, 10755, 563, 300, 26196, 661, 4753, 267, 29928, 700, 295, 267, 670, 657, 773, 29273, 269, 8682, 30625, 543, 1981, 23824, 269, 22226, 1473, 1204, 5262, 518, 269, 476, 1220, 279, 282, 476, 3393, 281, 476, 14631, 1700, 14689, 563, 11675, 10440, 715, 269, 634, 28882, 27914, 31426, 540, 1558, 659, 10744, 281, 22532, 7664, 1759, 593, 519, 5042, 23798, 540, 2324, 3965, 269, 808, 335, 333, 5369, 565, 4860, 269, 476, 1220, 278, 282, 476, 2004, 281, 476, 21327, 1700, 26297, 563, 22746, 344, 962, 267, 918, 1601, 517, 26712, 269, 3557, 17466, 10324, 22907, 1851, 2618, 24403, 25476, 269, 808, 2271, 11671, 10043, 3273, 17502, 269, 476, 1220, 276, 282, 476, 1556, 281, 476, 25313, 1700, 25834, 563, 309, 2129, 338, 918, 291, 267, 13391, 2541, 3563, 16674, 267, 5576, 1889, 545, 3559, 645, 297, 267, 1696, 620, 269, 10435, 5079, 791, 4202, 7766, 1582, 20820, 281, 589, 3908, 9113, 1830, 2272, 540, 3375, 1818, 267, 1582, 30625, 267, 543, 3742, 11036, 269, 808, 6431, 17502, 5369, 565, 269, 476, 1220, 279, 282, 476, 11463, 281, 476, 6434, 274, 1700, 279, 7176, 563, 303, 657, 1676, 24696, 267, 1546, 3873, 2940, 590, 269, 5900, 30102, 5121, 269, 12367, 11671, 338, 857, 269, 476, 1960, 275, 282, 476, 1704, 281, 476, 4037, 1700, 8064, 563, 1805, 1380, 667, 307, 267, 12138, 12463, 269, 15445, 3252, 543 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 857, 269, 476, 1626, 267, 476, 3374, 279, 1700, 4391, 273, 630, 1001, 276, 1916, 273, 269, 918, 525, 11986, 267, 623, 1421, 2672, 1146, 20321, 267, 715, 1421, 590, 643, 600, 541, 3578, 328, 267, 645, 269, 590, 269, 1299, 932, 2967, 344, 553, 583, 267, 595, 269, 10020, 540, 8937, 1532, 1778, 7852, 267, 8937, 15451, 5888, 267, 543, 32714, 6304, 538, 12216, 779, 2068, 269, 5020, 2233, 269, 476, 25784, 267, 476, 14093, 277, 2767, 630, 1708, 272, 1916, 274, 269, 4144, 690, 340, 31651, 267, 631, 269, 1696, 620, 269, 634, 10020, 540, 11270, 2632, 4345, 543, 11270, 7267, 29318, 538, 519, 744, 985, 564, 543, 4273, 1833, 540, 12216, 779, 8376, 281, 589, 3590, 1738, 5623, 269, 808, 269, 7885, 269, 2405, 269, 476, 280, 267, 630, 1708, 271, 1916, 275, 269, 2142, 11770, 1735, 267, 631, 269, 589, 269, 1696, 620, 269, 11916, 543, 645, 17424, 4460, 619, 540, 11270, 2632, 4345, 543, 4256, 5948, 609, 5549, 1211, 2353, 4211, 1021, 543, 12216, 779, 8376, 1546, 10879, 538, 513, 14066, 2817, 11752, 269, 808, 269, 1325, 345, 8583, 619, 2598, 269, 808, 4696, 476, 4037, 267, 476, 14991, 1700, 15094, 630, 1708, 271, 1916, 276, 269, 670, 1690, 529, 26907, 718, 529, 267, 717, 269, 1299, 932, 822, 752, 529, 267, 570, 269, 10871, 543, 11528, 6127, 16046, 27731, 2068, 543, 12982, 32435, 885, 269, 14844, 269, 4860, 269, 16332, 565, 269, 476, 272, 1700, 1428, 630, 1708, 272, 264, 8222, 281, 1015, 269, 9818, 279, 4882, 25870, 6507, 268, 22903, 268, 21916, 6434, 268, 277, 563, 277, 269, 32201, 267, 808, 269, 631, 269, 1696, 620, 269, 5395, 636, 16384, 294, 25095, 1328, 20946, 547, 11270, 7267, 19287, 23273, 3657, 23105, 609, 5549, 1211, 12216, 8376, 269, 12813, 24382, 21450, 476, 280, 267, 630, 1001, 275, 1916, 278, 269, 12358, 4176, 267, 590, 269, 590, 269, 1696, 620, 269, 623, 6973, 344, 668, 517, 553, 31470, 2526, 529, 538, 12216, 779, 2068, 12058, 281, 15845, 585, 2068, 1757, 566, 543, 2126, 609, 1507, 2173, 1961, 9908, 20127, 269, 2233, 269, 5917, 269, 476, 276, 267, 552, 320, 879, 18357, 274, 630, 1001, 280, 1916, 279, 269, 23006, 541, 857, 267, 589, 269, 1696, 620, 269, 10395, 1441, 7245, 540, 5543, 9109, 661, 272, 543, 9067, 28845, 589, 275, 5543, 1407, 6553, 538, 513, 9597, 710, 2203, 540, 12216, 779, 2068, 269, 5890, 269, 3026, 340, 1503, 269, 476, 4968, 267, 476, 9340, 1700, 6344, 630, 1001, 279, 1916, 280, 269, 23006, 541, 857, 267, 589, 269, 1696, 620, 269, 5843, 6921, 658, 3210, 547, 8097, 1974, 2632, 4345, 538, 513, 9597, 710, 2203, 540, 12216, 779, 2068, 269, 2233, 269, 3115, 269, 476, 1015, 267, 476, 6977, 8618, 630, 1708, 271, 1916, 1015, 269, 10481, 951, 267, 667, 269, 1696, 620, 269, 634, 2126, 268, 3534, 633, 22435, 538, 1007, 268, 976, 564, 15867, 18255, 779, 2068, 269, 8426, 21118, 5843, 2041, 476, 1428, 267, 476, 4343, 273, 1700, 4375, 273, 630, 1001, 275, 1916, 1556, 2529, 577, 597, 1067, 267, 631, 269, 1696, 620, 269, 23531, 531, 543, 7843, 1602, 531, 15448, 538, 519, 28066, 5843, 6798, 727, 540, 17925, 21853, 1356, 894, 2051, 4345, 14904, 3657, 21912, 547, 8376, 6092, 269, 8426, 21118, 5843, 2041, 476, 2190, 267, 476, 7785, 268, 29637, 4318, 275, 630, 1001, 279, 1916, 1321, 269, 4263, 541, 20076, 267, 918, 269, 1696, 620, 269, 661, 551, 8084, 17091, 540, 5711, 4551, 538, 519, 16892, 11479, 8946, 272, 1591, 15632, 543, 6553, 269, 3163, 476, 3374, 279, 267, 476, 3374, 280, 1700, 18458, 630, 1001, 278, 1040, 0, 2108, 28406, 532, 519, 4544, 1606, 13607, 1540, 2892, 600, 32752, 685, 9194, 568, 4105, 267, 607, 789, 616, 606, 13525, 2249, 267, 26655, 721, 827, 519, 1072, 540, 938, 1604, 2223, 2443, 298, 987, 22220, 8361, 267, 513, 2027, 3785, 4717, 13541, 543, 2069, 11285, 585, 519, 32493, 27347, 1117, 26844, 267, 7150, 547, 634, 14086, 4750, 538, 606, 4757, 563, 23325, 1606, 13607, 1540, 2892, 600, 32752, 616, 711, 13155, 267, 855, 789, 616, 606, 13525, 2249, 602, 949, 10332, 1004, 827, 519, 5117, 269, 1358, 616, 21049, 547, 519, 4279, 20463, 2829, 267, 519, 22583, 267, 543, 13980, 540, 4516, 563, 6097, 547, 634, 6115, 5403, 267, 513, 2852, 2875, 3957, 18379, 645, 1512, 328, 729, 15747, 538, 20310, 8387, 547, 2673, 513, 6288, 4155, 538, 3057, 638, 8291, 267, 12309, 1169, 3781, 2394, 4571, 5025, 1440, 559, 547, 1683, 2922, 8574, 585, 2892, 600, 32752, 563, 288, 6712, 540, 8834, 6519, 20000, 538, 3465, 4302, 1772, 548, 5244, 568, 6806, 547, 6174, 6808, 267, 1169, 3781, 693, 476, 279, 533, 6230, 269, 689, 11728, 267, 4728, 476, 2641, 998, 4989, 476, 1789, 267, 547, 1450, 922, 1713, 2551, 540, 4544, 1606, 13607, 1540, 2892, 600, 32752, 547, 22109, 543, 16196, 9108, 269, 8307, 3723, 6808, 568, 15868, 538, 519, 1858, 563, 6097, 547, 513, 476, 1001, 280, 3621, 6268, 540, 519, 4155, 267, 476, 6110, 2892, 600, 32752, 941, 7166, 676, 26873, 1169, 1032, 607, 789, 28953, 547, 741, 9960, 22253, 689, 519, 6288, 1282, 519, 5614, 4212, 2000, 11691, 4005, 563, 5194, 1353, 8612, 602, 1175, 1614, 2892, 600, 32752, 941, 7166, 2899, 4155, 9993, 3459, 538, 476, 1708, 271, 563, 763, 2892, 600, 32752, 1152, 16196, 693, 3781, 267, 723, 3109, 2960, 267, 543, 1332, 547, 581, 1447, 982, 3670, 6279, 1279, 267, 1818, 873, 5393, 2352, 547, 5469, 585, 5179, 1235, 563, 763, 1847, 814, 8810, 865, 2442, 602, 519, 2749, 1631, 14747, 513, 968, 306, 15401, 6387, 17963, 892, 16635, 563, 306, 15401, 6387, 2914, 10248, 32751, 687, 616, 1631, 865, 11342, 538, 3057, 638, 8291, 602, 519, 2749, 814, 6074, 547, 3984, 922, 22305, 1116, 6428, 600, 6387, 17963, 713, 5614, 267, 513, 3670, 22173, 3126, 540, 2621, 602, 786, 1331, 513, 2892, 600, 6387, 1148, 4159, 543, 15211, 547, 1451, 827, 519, 27738, 262, 1604, 563, 763, 2962, 28837, 875, 21825, 5116, 4155, 5008, 999, 949, 1450, 3425, 543, 7320, 547, 1071, 4725, 527, 609, 1447, 11508, 563, 1432, 616, 707, 4555, 286, 7490, 2671, 538, 519, 8292, 269, 0, 294, 990, 785, 11831, 629, 327, 23202, 267, 5191, 25142, 543, 1101, 24505, 18328, 454, 11847, 6974, 532, 476, 3199, 540, 519, 700, 758, 17939, 3873, 779, 476, 276, 6246, 16295, 543, 513, 476, 29889, 2173, 1897, 13909, 267, 31579, 541, 21423, 267, 609, 922, 811, 982, 476, 1428, 2929, 17037, 267, 568, 3127, 779, 1034, 20833, 1271, 1533, 269, 4595, 5130, 476, 1839, 267, 476, 4198, 271, 267, 950, 519, 2136, 28393, 806, 729, 26948, 31579, 541, 21423, 267, 519, 1533, 1107, 998, 476, 1704, 13909, 12836, 1107, 814, 5462, 519, 1576, 540, 3084, 6214, 267, 22745, 513, 1850, 542, 540, 26106, 342, 11301, 267, 26110, 538, 6205, 543, 6305, 26110, 269, 1717, 267, 540, 1010, 476, 2641, 595, 16039, 267, 1152, 962, 690, 328, 1520, 640, 534, 987, 267, 13019, 327, 3796, 327, 962, 611, 822, 543, 2904, 1177, 10620, 723, 6192, 513, 2407, 2947, 4458, 2165, 267, 10452, 519, 7920, 25359, 540, 1010, 6214, 269, 4746, 538, 519, 2039, 540, 519, 595, 16039, 568, 519, 5168, 827, 519, 1533, 22634, 4834, 269, 14210, 540, 1010, 476, 2641, 595, 16039, 723, 1044, 23347, 332, 1231, 610, 774, 752, 2720, 269, 634, 1866, 1331, 1614, 962, 611, 822, 338, 267, 1614, 645, 8643, 344, 553, 267, 835, 700, 617, 327, 267, 835, 808, 520, 267, 835, 28270, 553, 628, 267, 835, 18243, 527, 543, 835, 590, 785, 6062, 269, 589, 3126, 593, 519, 1686, 543, 2797, 2242, 540, 24505, 998, 922, 595, 16039, 563, 2026, 11788, 10579, 540, 31579, 541, 21423, 267, 29583, 785, 11831, 629, 327, 23202, 267, 513, 30361, 540, 6837, 543, 513, 3056, 4137, 538, 3127, 779, 5191, 3350, 267, 568, 20295, 609, 3246, 7123, 2229, 543, 4180, 18497, 10103, 538, 519, 1533, 538, 519, 1296, 1739, 7115, 950, 15231, 2829, 899, 23570, 543, 4437, 9618, 941, 538, 519, 31462, 525, 540, 18497, 1476, 25419, 1674, 563, 14367, 2229, 8045, 519, 9086, 13373, 5109, 519, 1533, 779, 1990, 600, 785, 926, 1062, 1510, 6849, 513, 1713, 1394, 31988, 689, 9937, 540, 5215, 540, 1990, 600, 785, 1513, 563, 5475, 7115, 267, 23202, 7153, 607, 513, 2067, 3903, 607, 24505, 18328, 607, 646, 1185, 2907, 12199, 519, 1533, 2094, 476, 3707, 277, 543, 4505, 689, 476, 4350, 278, 547, 476, 4350, 280, 630, 553, 20031, 1512, 540, 519, 2136, 28393, 806, 693, 519, 942, 267, 945, 729, 26948, 31579, 541, 21423, 593, 476, 1839, 5130, 476, 4198, 271, 1916, 17812, 816, 1308, 5718, 4956, 602, 23202, 1058, 3136, 607, 24505, 18328, 1256, 1310, 519, 1101, 1533, 10198, 3440, 1824, 538, 476, 4198, 273, 267, 799, 941, 25626, 2476, 676, 519, 5428, 269, 1261, 4465, 538, 519, 645, 732, 11035, 27391, 1275, 14218, 1890, 267, 25588, 13225, 691, 31843, 3967, 5842, 724, 630, 289, 297, 306, 264, 11134, 2494, 332, 2129, 534, 700, 531, 4569, 584, 269, 634, 24505, 13909, 1287, 1185, 476, 31003, 16295, 267, 799, 3238, 476, 28091, 2582, 2173, 1897, 14218, 4293, 543, 476, 10695, 12242, 14218, 4293, 538, 1840, 547, 835, 9930, 3990, 10160, 269, 634, 6837, 4465, 476, 4343, 279, 16295, 267, 519, 31012, 9549, 476, 736, 267, 519, 645, 297, 306, 476, 273, 267, 1519, 476, 1428, 585, 4830, 10457, 543, 513, 1906, 1866, 563, 4002, 4728, 476, 1691, 267, 476, 4198, 273, 267, 23202, 9307, 547, 519, 13909, 281, 968, 2171, 786, 581, 2111, 547, 2936, 519, 2098, 600, 785, 926, 589, 2513, 819, 2920, 269, 901, 786, 1863, 519, 6705, 689, 2804, 543, 32540, 6125, 720, 543, 2285, 873, 1582, 9113, 1051, 269, 2991, 519, 9550, 267, 950, 1287, 8566, 4261, 528, 24605, 3525, 328, 9619, 519, 1101, 9361, 540, 519, 9241, 27648, 13909, 593, 2904, 476, 2641, 267, 476, 4198, 273, 267, 1034, 540, 1010, 4633, 729, 13991, 547, 15024, 971, 607, 519, 20552, 540, 2098, 600, 785, 926, 267, 799, 267, 5293, 676, 519, 954, 574, 23202, 2229, 4505, 267, 729, 8045, 538, 5147, 476, 4198, 273, 269, 13536, 267, 519, 24505, 3117, 24537, 540, 15579, 902, 2920, 267, 476, 4198, 274, 729, 849, 8045, 689, 476, 4198, 275, 563, 4322, 4031, 941, 2808, 968, 516, 23728, 776, 892, 585, 6705, 538, 519, 24505, 267, 1256, 1498, 789, 941, 8045, 1510, 1713, 1514, 19727, 269, 14076, 320, 966, 790, 526, 571, 20961, 540, 17833, 7032, 267, 945, 729, 1287, 606, 12463, 585, 519, 24505, 16217, 10937, 5428, 267, 5143, 519, 10198, 281, 968, 296, 729, 849, 835, 540, 519, 1990, 600, 785, 1513, 7255, 269, 1284, 723, 11124, 2804, 9271, 269, 1809, 649, 941, 14980, 1317, 540, 23202, 795, 328, 779, 1434, 2623, 267, 11587, 543, 2184, 8864, 563, 763, 23202, 2229, 849, 5293, 519, 9699, 8943, 9291, 543, 1500, 1395, 690, 18081, 25471, 585, 9699, 2367, 1247, 26587, 9699, 2021, 519, 1318, 547, 16028, 543, 27836, 18577, 3959, 563, 29820, 593, 5181, 476, 1015, 267, 476, 6642, 278, 538, 10609, 334, 2632, 8498, 538, 31471, 7702, 8664, 267, 23202, 6594, 1876, 693, 16589, 21171, 2160, 543, 2968, 513, 7986, 15818, 538, 715, 664, 1388, 543, 918, 553, 1222, 584, 1354, 11836, 6214, 269, 1261, 729, 7722, 538, 21621, 6214, 543, 7930, 6410, 6251, 547, 519, 1283, 3401, 540, 519, 4095, 2817, 6837, 8015, 519, 5191, 3350, 269, 1261, 729, 12912, 28579, 540, 519, 24505, 6837, 9730, 538, 476, 4572, 278, 269, 13536, 646, 849, 2968, 513, 4759, 540, 519, 4790, 15856, 550, 13909, 563, 4002, 5130, 476, 274, 267, 476, 4198, 276, 267, 23202, 729, 1572, 547, 16156, 676, 1287, 11788, 10579, 26836, 1695, 22611, 531, 3026, 327, 745, 547, 581, 2220, 1941, 538, 607, 5742, 10579, 1510, 5800, 12859, 269, 589, 3018, 2663, 267, 646, 729, 12912, 10579, 540, 519, 25181, 269, 1261, 729, 7466, 11221, 547, 519, 14076, 5984, 17939, 3873, 269, 769, 476, 4198, 278, 267, 646, 729, 24705, 1042, 609, 519, 32038, 520, 13158, 3534, 1107, 519, 1152, 24505, 18328, 547, 723, 4607, 519, 2197, 779, 5207, 19742, 8956, 865, 2484, 269, 1261, 729, 1287, 5742, 5851, 14199, 563, 303, 656, 10150, 11999, 1967, 1851, 519, 13999, 540, 519, 1533, 543, 729, 25343, 676, 519, 3401, 540, 519, 6837, 543, 11685, 6105, 269, 3571, 2229, 1185, 1896, 16529, 3401, 971, 607, 932, 7596, 327, 776, 4077, 534, 19453, 267, 21919 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1262, 17345, 5149, 281, 4197, 595, 839, 11208, 543, 13405, 10163, 571, 842, 4373, 5331, 596, 5206, 513, 1650, 827, 707, 4832, 16314, 543, 4941, 547, 2671, 621, 609, 782, 707, 2828, 693, 1153, 269, 1411, 3142, 12215, 540, 707, 1650, 547, 1362, 543, 1376, 8429, 873, 856, 1282, 12899, 5503, 269, 22582, 267, 519, 9030, 15211, 883, 519, 22538, 2678, 807, 267, 3217, 2476, 782, 519, 2984, 267, 543, 6645, 596, 602, 596, 666, 1406, 15814, 873, 1317, 789, 10093, 1406, 1044, 9516, 1101, 269, 901, 3510, 1522, 3280, 15490, 267, 1318, 286, 1809, 1705, 596, 917, 1945, 2147, 4523, 538, 1483, 1272, 609, 1344, 267, 3377, 267, 543, 1256, 8369, 3838, 2228, 286, 2334, 779, 1018, 649, 1289, 24890, 780, 1262, 1432, 568, 595, 839, 11208, 15140, 290, 839, 11208, 1797, 9013, 610, 17527, 1569, 547, 1978, 2010, 540, 1344, 269, 22749, 1419, 946, 24890, 547, 2061, 741, 4961, 689, 7487, 1919, 789, 1810, 1406, 1616, 873, 547, 917, 269, 6884, 267, 4357, 3549, 849, 2259, 24890, 1765, 3697, 1514, 2923, 5867, 9427, 9708, 610, 7044, 602, 979, 1996, 741, 3652, 780, 3086, 1577, 779, 2911, 827, 2608, 335, 1874, 27047, 842, 29688, 5994, 952, 519, 9030, 1767, 596, 7948, 1406, 1780, 856, 707, 1650, 2394, 789, 1224, 621, 25656, 543, 4956, 2436, 621, 1223, 581, 3838, 610, 711, 269, 2334, 1131, 581, 1991, 27047, 842, 1107, 16069, 2576, 689, 4687, 1344, 1354, 789, 2965, 2671, 621, 269, 13405, 27047, 842, 568, 2808, 811, 3978, 982, 2834, 24890, 2094, 621, 11151, 1863, 4082, 15587, 780, 1262, 3963, 9701, 1284, 5516, 6168, 595, 839, 11208, 543, 13405, 10163, 571, 842, 15140, 26466, 4520, 540, 4633, 543, 4082, 568, 1898, 585, 1022, 11180, 2486, 269, 1879, 972, 568, 1932, 1454, 24890, 610, 1991, 27047, 842, 267, 1004, 949, 711, 1451, 1271, 5013, 267, 5873, 3309, 5380, 267, 610, 723, 1930, 5717, 269, 1306, 3743, 3059, 4961, 267, 621, 779, 2629, 547, 1174, 891, 2035, 865, 602, 649, 666, 7119, 24617, 538, 7391, 8345, 1472, 721, 780, 4131, 779, 1589, 827, 938, 4505, 1383, 1586, 269, 1403, 707, 9030, 1031, 1991, 27047, 842, 547, 3247, 596, 689, 26084, 707, 1650, 267, 9327, 1406, 602, 3970, 707, 4960, 547, 2769, 3054, 21176, 286, 6684, 267, 7050, 22257, 610, 9746, 9993, 593, 2228, 1543, 17225, 6209, 15377, 1851, 2043, 945, 3180, 1585, 4978, 780, 1262, 1692, 6496, 595, 839, 11208, 18748, 2974, 4653, 15140, 9213, 267, 2029, 2636, 721, 547, 8532, 543, 2671, 5318, 5666, 540, 1344, 3533, 269, 1717, 267, 713, 13418, 2501, 609, 2591, 971, 607, 25749, 543, 5739, 1543, 269, 1677, 2232, 891, 2152, 267, 930, 8044, 585, 31749, 6042, 899, 1346, 2938, 538, 3624, 267, 799, 17401, 8060, 4950, 6165, 1369, 922, 10665, 269, 31379, 5855, 267, 1498, 267, 602, 971, 3800, 949, 1291, 547, 7938, 1551, 5896, 7687, 593, 5191, 540, 4633, 543, 4082, 780, 2690, 3236, 267, 2015, 3871, 1141, 10509, 23766, 4894, 11786, 7044, 23345, 676, 3755, 269, 2755, 789, 2832, 547, 2149, 13588, 689, 5732, 5906, 610, 7301, 1543, 267, 3257, 865, 3006, 588, 604, 956, 2635, 9840, 543, 1225, 339, 5661, 4244, 2798, 540, 2070, 269, 1924, 267, 4466, 513, 3666, 1063, 4509, 1931, 543, 17420, 1367, 2924, 3587, 4105, 780, 1262, 6962, 4373, 8139, 24890, 543, 1991, 27047, 842, 786, 948, 596, 5660, 519, 2956, 540, 1863, 4082, 538, 5009, 1565, 267, 5807, 5876, 267, 543, 14637, 2565, 3206, 1983, 269, 1635, 1373, 3222, 540, 875, 891, 2035, 7500, 538, 2221, 781, 1158, 267, 596, 3513, 1831, 1732, 9280, 547, 6330, 1950, 3584, 543, 4497, 31635, 609, 18312, 8369, 269, 5457, 267, 3025, 19262, 519, 4316, 547, 3717, 11884, 1247, 6236, 1866, 262, 8171, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 2026, 519, 13044, 268, 866, 6433, 22264, 267, 24890, 3292, 4434, 267, 8015, 7125, 585, 3624, 16654, 1852, 540, 519, 5769, 454, 763, 3220, 338, 269, 8355, 661, 9581, 517, 543, 3203, 514, 7136, 1695, 328, 3381, 1185, 936, 476, 276, 267, 1822, 267, 1822, 5784, 538, 476, 274, 2395, 950, 621, 729, 3144, 1524, 676, 519, 5411, 540, 13334, 734, 630, 2254, 834, 5327, 335, 659, 17010, 257, 8513, 267, 855, 11141, 1040, 634, 8292, 3296, 729, 4904, 609, 4277, 4901, 630, 296, 9364, 2161, 607, 1082, 1996, 607, 585, 267, 855, 594, 4769, 1405, 1293, 1040, 898, 5795, 1004, 513, 1857, 12106, 269, 634, 1448, 676, 1448, 771, 7611, 540, 519, 7189, 262, 6881, 676, 1082, 6085, 619, 9450, 1620, 269, 3509, 540, 519, 6085, 619, 3177, 1201, 16615, 543, 1239, 2079, 269, 14171, 519, 6881, 1524, 8694, 519, 4901, 563, 763, 19060, 547, 524, 16428, 568, 31604, 269, 2311, 2547, 519, 661, 9581, 517, 543, 7136, 1695, 328, 3381, 3177, 630, 1721, 513, 5618, 1906, 2395, 264, 513, 8468, 1141, 1004, 540, 1114, 16752, 7722, 1142, 824, 563, 10498, 267, 20917, 267, 6068, 596, 585, 1296, 267, 855, 713, 835, 3893, 803, 547, 11522, 909, 519, 1269, 2412, 20478, 1862, 20365, 2702, 547, 1294, 5693, 9624, 713, 1202, 534, 640, 649, 616, 538, 568, 1312, 4686, 543, 17170, 269, 11289, 18222, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 623, 27773, 13316, 1315, 595, 839, 11208, 1315, 13405, 10163, 571, 842, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 8702, 547, 606, 3078, 1158, 1141, 2029, 10742, 6683, 256, 4653, 649, 2811, 2469, 547, 1451, 827, 875, 3375, 1489, 1949, 1210, 5841, 4987, 666, 948, 1832, 14742, 10760, 9108, 267, 855, 1810, 1405, 5855, 267, 649, 786, 849, 1294, 875, 713, 10039, 547, 8105, 780, 5331, 952, 707, 4116, 1185, 513, 9059, 12627, 3440, 602, 1223, 2995, 873, 950, 1945, 1522, 2736, 538, 519, 4928, 1354, 621, 1256, 4523, 1107, 899, 6616, 4010, 950, 519, 15513, 32260, 518, 786, 25888, 610, 519, 8279, 1522, 31300, 518, 269, 2334, 1259, 267, 789, 1223, 4368, 891, 2370, 2042, 1354, 789, 5828, 883, 8273, 3283, 269, 901, 1523, 568, 2147, 547, 1018, 4966, 1289, 834, 335, 9438, 633, 5826, 2437, 543, 621, 781, 4657, 875, 1004, 1491, 1416, 540, 1919, 538, 1082, 1114, 4610, 267, 1519, 27858, 543, 11396, 2439, 21080, 30350, 5826, 568, 513, 1950, 2816, 5473, 6266, 540, 2694, 543, 3157, 269, 4658, 945, 960, 593, 27858, 991, 547, 917, 3388, 827, 1142, 1062, 543, 5057, 547, 3713, 1022, 2152, 2038, 269, 1358, 1246, 7453, 3652, 1305, 676, 18229, 4441, 547, 8430, 2638, 5725, 543, 18203, 865, 602, 519, 7077, 13978, 6325, 543, 2922, 585, 3025, 593, 4580, 269, 2060, 519, 948, 540, 4359, 4066, 971, 607, 8262, 4578, 24630, 543, 3642, 267, 7114, 1761, 2042, 814, 1831, 811, 5730, 982, 2479, 2439, 25369, 11106, 630, 9590, 1070, 1175, 899, 519, 2012, 5267, 267, 616, 2706, 5100, 2645, 2966, 547, 4194, 2352, 4247, 267, 3592, 607, 952, 789, 941, 9800, 256, 1452, 9589, 948, 619, 5659, 5318, 5666, 540, 1344, 3533, 267, 5431, 3270, 267, 543, 946, 741, 4681, 547, 2097, 909, 609, 3435, 269, 1280, 1383, 267, 4952, 3843, 547, 1265, 513, 1880, 1433, 538, 513, 5399, 5627, 6634, 540, 2835, 910, 3833, 4101, 267, 1318, 286, 1809, 606, 3642, 1907, 1131, 30089, 998, 713, 4305, 538, 1100, 942, 693, 782, 2439, 3086, 1577, 779, 4019, 713, 2856, 547, 938, 16762, 5826, 1383, 269, 1635, 11018, 1239, 689, 3875, 2959, 899, 8596, 8704, 1369, 606, 8484, 2599, 267, 3642, 3292, 1184, 3140, 543, 1483, 6066, 7194, 547, 1174, 3339, 2623, 269, 3973, 267, 8164, 4376, 8966, 4386, 267, 971, 607, 2837, 2242, 610, 19089, 2157, 8375, 3564, 6788, 267, 519, 3642, 17514, 621, 607, 513, 2009, 3390, 8506, 3007, 269, 30474, 3579, 267, 26001, 2496, 3383, 875, 1281, 713, 9305, 547, 6683, 543, 3375, 1489, 1949, 286, 4270, 267, 6705, 3068, 2147, 2591, 1247, 4509, 741, 3484, 3937, 543, 6472, 269, 3807, 1589, 827, 5458, 8778, 832, 610, 9192, 3771, 1407, 1562, 2324, 1554, 543, 3781, 1282, 7556, 4005, 269, 1403, 835, 9397, 1524, 30122, 267, 10475, 942, 3478, 7031, 856, 540, 519, 4610, 949, 581, 4503, 269, 1677, 10994, 713, 1966, 267, 8030, 1628, 2027, 667, 7704, 5867, 13324, 676, 3642, 585, 6694, 3156, 269, 26478, 4324, 689, 2348, 4274, 5796, 11593, 2139, 267, 4543, 873, 2226, 741, 12227, 3927, 1759, 593, 4977, 11236, 543, 7840, 780, 1103, 5758, 267, 5841, 4987, 4249, 513, 1713, 1909, 538, 5355, 3375, 6194, 2066, 2789, 6080, 269, 6787, 621, 781, 5329, 14742, 10760, 12347, 610, 21528, 6705, 609, 5883, 741, 3407, 2200, 7561, 267, 3642, 2337, 4648, 3251, 6619, 540, 519, 7455, 676, 3246, 2629, 4030, 6508, 689, 7421, 7372, 9424, 540, 1239, 269, 1924, 1985, 942, 596, 5577, 5196, 513, 7077, 610, 3643, 513, 2413, 3484, 267, 3314, 972, 781, 930, 7168, 5863, 2029, 2182, 693, 960, 3297, 519, 10207, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 21104, 725, 540, 10724, 4804, 538, 589, 7878, 20904, 454, 288, 7878, 5826, 568, 606, 27763, 23499, 2361, 799, 14122, 7347, 1374, 543, 11938, 540, 3573, 5826, 4238, 543, 5773, 282, 21214, 519, 13337, 8446, 267, 7020, 543, 6439, 2305, 267, 543, 936, 3873, 30389, 267, 7816, 610, 14842, 540, 8484, 1949, 267, 1016, 17882, 338, 267, 543, 3334, 267, 607, 1134, 607, 519, 20319, 585, 1585, 5826, 4238, 267, 538, 10220, 609, 519, 18229, 4441, 282, 538, 1931, 547, 3589, 267, 840, 268, 3319, 543, 2061, 14286, 543, 3976, 2327, 519, 31934, 10727, 540, 8484, 269, 25790, 538, 8262, 4578, 24630, 630, 289, 6395, 264, 543, 5841, 4987, 2553, 723, 19117, 16762, 5826, 4238, 269, 21023, 633, 5826, 568, 1818, 2462, 26058, 538, 519, 23825, 5823, 10483, 676, 513, 3099, 540, 1322, 333, 8251, 1072, 2359, 3681, 269, 14464, 4987, 6620, 723, 5063, 1044, 14916, 4294, 547, 11126, 8484, 5826, 1949, 543, 4238, 269, 11153, 3173, 18222, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 570, 22379, 1299, 22957, 1315, 11982, 1315, 4937, 1315, 17423, 8081, 7010, 630, 291, 7704, 264, 585, 11982, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 2878, 17345, 5149, 281, 31327, 20514, 910, 2871, 4575, 2659, 28438, 538, 3203, 4373, 5970, 596, 2479, 6743, 693, 513, 8523, 543, 5433, 6537, 547, 513, 1880, 5544, 286, 2107, 6148, 596, 4312, 25343, 513, 4190, 7206, 855, 7948, 1405, 948, 5469, 875, 707, 4064, 941, 9900, 11461, 998, 519, 11247, 269, 901, 3884, 1405, 1175, 14626, 2064, 282, 5159, 946, 2027, 2553, 547, 1291, 938, 4064, 543, 2995, 3308, 2984, 269, 2290, 971, 4480, 568, 1572, 834, 18490, 3515, 2437, 799, 2337, 3391, 13588, 262, 1445, 2509, 1808, 2127, 1369, 513, 5888, 269, 2913, 781, 4685, 883, 1620, 3056, 3515, 543, 1294, 875, 789, 4012, 1227, 3337, 1148, 4773, 2439, 1262, 1432, 3657, 31327, 20514, 15140, 5331, 6972, 2059, 513, 23090, 13374, 11303, 676, 4054, 543, 5810, 269, 1306, 596, 1246, 519, 1225, 11803, 13009, 267, 707, 4064, 1832, 3001, 4464, 267, 2921, 538, 782, 519, 5898, 1472, 596, 269, 3807, 899, 602, 13374, 267, 3056, 3515, 538, 26620, 4196, 607, 10274, 585, 938, 4064, 267, 5705, 569, 562, 644, 3101, 721, 547, 1847, 2066, 519, 3239, 269, 1452, 3515, 1223, 2408, 607, 9897, 267, 31966, 267, 8933, 267, 9343, 540, 3615, 267, 610, 1256, 3270, 538, 2470, 1107, 4376, 602, 5932, 513, 2631, 540, 4287, 780, 265, 7078, 942, 256, 265, 5994, 3168, 693, 513, 4605, 1141, 972 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3237, 540, 519, 1053, 5697, 269, 14268, 786, 4309, 513, 2407, 7778, 540, 519, 5773, 585, 8446, 267, 606, 7778, 540, 519, 1184, 547, 14827, 513, 2875, 689, 519, 1982, 267, 519, 1344, 593, 519, 8664, 781, 1982, 267, 543, 519, 3681, 602, 616, 2139, 547, 4857, 1053, 563, 268, 5136, 1555, 15366, 10479, 547, 1747, 4857, 1053, 538, 519, 1982, 1354, 1022, 2027, 2533, 543, 3292, 616, 3177, 547, 519, 2875, 563, 31088, 585, 2561, 7002, 454, 29261, 270, 31384, 2103, 723, 519, 1318, 547, 9029, 519, 3818, 16162, 9918, 5542, 12233, 779, 3375, 269, 15706, 13267, 519, 12233, 779, 3375, 1590, 10505, 513, 6192, 22587, 1106, 610, 4484, 31392, 2689, 540, 519, 5542, 270, 10293, 3375, 269, 634, 2854, 7662, 1590, 1331, 4128, 585, 519, 9029, 543, 267, 547, 1489, 556, 4621, 573, 3130, 267, 1683, 3606, 2963, 540, 3648, 4359, 5042, 610, 4081, 2157, 543, 5924, 14222, 7214, 267, 4081, 267, 610, 3860, 5759, 563, 763, 9029, 7662, 543, 5885, 2963, 1590, 581, 11643, 547, 519, 9752, 543, 4804, 7896, 4972, 1369, 476, 1015, 1153, 2395, 540, 519, 3818, 16162, 9918, 5542, 12233, 779, 3375, 31015, 563, 763, 8664, 779, 3818, 16162, 9918, 5542, 12233, 786, 2689, 519, 2875, 779, 3758, 267, 4879, 9043, 1239, 267, 543, 3606, 2963, 3177, 538, 519, 7662, 585, 9029, 563, 763, 3375, 540, 519, 12233, 949, 1331, 912, 308, 874, 13783, 519, 3312, 3375, 540, 519, 3818, 16162, 9918, 5542, 12233, 282, 610, 454, 3725, 951, 532, 519, 3375, 540, 519, 3818, 16162, 9918, 5542, 12233, 563, 288, 3375, 786, 581, 1500, 676, 519, 3818, 16162, 9918, 5542, 12233, 1369, 476, 1789, 1153, 2395, 1310, 2256, 18967, 540, 519, 2854, 7662, 585, 556, 4621, 573, 3130, 269, 634, 2385, 270, 31384, 1014, 786, 581, 711, 1881, 540, 519, 3375, 538, 1603, 269, 634, 3375, 540, 519, 12233, 568, 3803, 563, 26796, 519, 7662, 540, 513, 4116, 610, 513, 3810, 5827, 1982, 23070, 267, 519, 8664, 949, 20006, 519, 14827, 1184, 585, 1053, 945, 1100, 3476, 6542, 513, 991, 585, 3810, 5827, 1982, 2533, 269, 634, 3818, 16162, 9918, 5542, 12233, 786, 7036, 324, 513, 5870, 547, 2689, 519, 2875, 779, 9043, 547, 3313, 952, 519, 2875, 4018, 5809, 585, 1982, 2533, 1759, 593, 4879, 1239, 543, 5542, 7355, 269, 634, 3818, 16162, 9918, 5542, 12233, 949, 7662, 3606, 2963, 540, 2875, 7207, 543, 5924, 18515, 547, 7119, 538, 519, 1982, 269, 1403, 519, 12233, 11887, 602, 519, 2875, 1100, 3476, 4018, 5809, 585, 3810, 5827, 1982, 2533, 267, 621, 949, 581, 5227, 602, 519, 2875, 581, 608, 1243, 689, 519, 1982, 269, 634, 8664, 786, 711, 1518, 519, 2385, 270, 31384, 1014, 538, 1603, 540, 519, 12233, 779, 3375, 543, 540, 519, 9029, 1184, 563, 288, 2385, 270, 31384, 1014, 949, 7662, 547, 11198, 519, 2875, 689, 519, 1982, 610, 513, 2875, 949, 32380, 11198, 689, 519, 1982, 269, 589, 5870, 786, 581, 7036, 539, 676, 519, 3810, 5827, 1982, 4717, 13541, 7933, 1311, 528, 547, 1865, 519, 7662, 269, 1403, 519, 2385, 270, 31384, 1014, 13821, 547, 11198, 519, 2875, 689, 519, 1982, 267, 519, 8664, 786, 14827, 519, 2875, 689, 519, 1982, 269, 634, 3818, 16162, 9918, 5542, 12233, 786, 3313, 952, 8446, 5773, 616, 2556, 585, 1053, 530, 5109, 547, 556, 10938, 519, 1982, 538, 519, 2104, 563, 763, 8664, 786, 1118, 513, 3099, 540, 3617, 1982, 2533, 2139, 547, 1053, 945, 7119, 538, 519, 1982, 563, 5629, 2533, 616, 3323, 267, 519, 8664, 786, 1683, 513, 27795, 540, 2533, 547, 4857, 1053, 538, 9344, 918, 268, 1321, 269, 634, 8664, 8039, 2533, 1142, 21249, 2165, 585, 1142, 2875, 547, 2327, 602, 519, 2533, 616, 3617, 563, 763, 8664, 786, 2709, 3810, 5827, 1053, 519, 1739, 3292, 912, 268, 769, 9656, 998, 3446, 476, 274, 267, 519, 2115, 540, 3810, 5827, 1053, 616, 1558, 998, 15285, 543, 1367, 1436, 538, 519, 2489, 2069, 4928, 563, 268, 769, 9344, 476, 275, 268, 276, 267, 519, 2115, 540, 3810, 5827, 1053, 616, 1558, 998, 21630, 6044, 538, 519, 2489, 2069, 4928, 543, 5924, 13307, 538, 513, 2407, 942, 3810, 5827, 1982, 563, 268, 769, 9344, 476, 277, 268, 1321, 267, 519, 2115, 540, 3810, 5827, 1053, 616, 1558, 998, 21630, 6044, 538, 519, 2489, 2069, 4928, 267, 1641, 543, 5924, 3446, 10231, 267, 543, 4101, 1576, 13307, 269, 16930, 13508, 1489, 786, 581, 2139, 585, 4857, 3810, 5827, 1053, 538, 8939, 14013, 4101, 6030, 269, 32680, 5491, 3255, 2139, 547, 1053, 1331, 11628, 9255, 618, 267, 19396, 543, 14502, 4065, 267, 5441, 538, 519, 4400, 3427, 267, 543, 26121, 3399, 563, 15275, 1881, 1053, 786, 581, 8655, 519, 3617, 18043, 4065, 4578, 543, 3194, 3590, 630, 290, 3633, 12678, 264, 717, 26661, 1871, 4433, 264, 538, 519, 8664, 779, 2875, 1344, 1062, 585, 1439, 6361, 4458, 8989, 2238, 563, 763, 2706, 23734, 550, 610, 1374, 2465, 786, 1683, 606, 1439, 6361, 7308, 4458, 1867, 547, 519, 8433, 540, 8111, 23734, 550, 540, 5398, 19019, 630, 5308, 18444, 1070, 799, 2882, 912, 268, 634, 1297, 540, 1053, 6039, 676, 3446, 1377, 918, 268, 1321, 3248, 268, 9906, 15295, 1344, 3248, 268, 4578, 547, 3313, 952, 1053, 945, 616, 3810, 5827, 1558, 519, 3853, 1305, 543, 952, 519, 3292, 3177, 1558, 519, 4081, 2115, 540, 891, 1053, 3248, 763, 1297, 543, 1543, 540, 3318, 1646, 2238, 3177, 585, 2027, 3610, 543, 2489, 2069, 5234, 3248, 25284, 6268, 1239, 543, 267, 952, 2877, 267, 1982, 2242, 602, 786, 581, 1500, 1759, 2390, 713, 1344, 563, 3725, 14876, 281, 476, 280, 270, 280, 270, 5400, 282, 476, 279, 270, 2918, 270, 1691, 282, 476, 280, 270, 1724, 270, 2420, 0, 24092, 1242, 4255, 616, 513, 3126, 540, 10526, 13950, 12422, 676, 1857, 3506, 538, 519, 2136, 2276, 538, 1931, 547, 2268, 543, 3950, 1702, 602, 513, 2875, 814, 9715, 1282, 513, 1153, 1032, 267, 538, 824, 1913, 267, 741, 4081, 1646, 269, 4569, 543, 2296, 5678, 8551, 630, 5085, 288, 264, 616, 7318, 538, 476, 274, 6113, 998, 476, 279, 628, 3446, 543, 693, 2547, 2899, 1282, 1164, 1153, 269, 2755, 972, 616, 824, 1983, 602, 616, 7318, 1282, 930, 3446, 2157, 267, 4569, 267, 661, 6369, 267, 543, 3163, 616, 519, 1034, 4749, 7318, 4295, 1543, 2127, 269, 9208, 1242, 4152, 568, 2838, 676, 5313, 1876, 543, 2708, 2436, 610, 711, 1053, 616, 5870, 519, 24441, 4441, 585, 1346, 5396, 267, 799, 723, 1044, 1759, 1055, 540, 519, 5871, 11759, 11036, 2094, 476, 1001, 271, 563, 5278, 8466, 12700, 6168, 3557, 13281, 454, 2080, 616, 930, 4277, 5013, 827, 1533, 4152, 1282, 1686, 563, 268, 3557, 13281, 814, 1044, 513, 851, 540, 519, 1977, 2069, 1062, 2094, 519, 476, 5197, 271, 338, 563, 268, 14066, 1790, 641, 1637, 1533, 4152, 3459, 538, 519, 476, 3192, 271, 338, 543, 476, 2735, 271, 338, 267, 950, 519, 2136, 2276, 3323, 547, 2708, 25422, 563, 268, 769, 476, 1001, 273, 267, 519, 5993, 7836, 593, 10526, 729, 1269, 2767, 829, 2875, 18121, 5780, 280, 2929, 2949, 1040, 26451, 11889, 3790, 267, 519, 1942, 829, 2875, 29860, 547, 1269, 8099, 271, 563, 268, 634, 16504, 543, 18520, 4065, 2920, 540, 476, 3422, 276, 1500, 13387, 4152, 513, 10421, 538, 1857, 3506, 563, 268, 634, 2475, 5398, 4521, 476, 13040, 268, 8099, 267, 849, 1634, 607, 519, 3143, 4132, 19382, 19992, 630, 10998, 299, 289, 264, 2920, 540, 476, 1220, 272, 267, 13615, 1857, 1153, 7616, 547, 13387, 4152, 267, 2164, 593, 519, 4255, 941, 1031, 547, 21138, 7482, 543, 2200, 547, 3506, 563, 268, 634, 5272, 9906, 590, 1075, 12923, 2920, 267, 9896, 883, 1876, 676, 5518, 4446, 871, 15525, 593, 5412, 476, 1015, 267, 476, 1001, 276, 267, 729, 2813, 547, 2417, 1450, 2875, 9740, 543, 1967, 269, 901, 957, 568, 4867, 1869, 519, 1876, 540, 519, 2244, 543, 10274, 782, 602, 649, 798, 563, 10743, 543, 24110, 454, 2691, 649, 1589, 827, 9344, 649, 8850, 1589, 827, 10467, 543, 4255, 1282, 1153, 267, 1867, 6486, 543, 938, 3803, 21496, 9344, 267, 855, 21249, 568, 10876, 1472, 721, 269, 24110, 948, 721, 5635, 606, 7164, 1267, 1996, 513, 13387, 23988, 269, 1358, 948, 7855, 1294, 693, 1018, 1377, 513, 2875, 568, 7900, 543, 1018, 1983, 949, 991, 556, 974, 2286, 610, 1489, 563, 288, 1434, 1383, 540, 713, 568, 950, 3237, 1491, 741, 4816, 547, 519, 4387, 269, 634, 4387, 27786, 513, 4816, 779, 1072, 1759, 593, 513, 13387, 23988, 610, 1305, 540, 7355, 269, 901, 2337, 519, 4387, 543, 519, 3237, 1174, 875, 519, 4816, 568, 3257, 3379, 547, 824, 9002, 269, 9453, 513, 13387, 23988, 519, 4387, 666, 1152, 8263, 602, 519, 4816, 568, 3384, 1134, 1759, 593, 1018, 646, 666, 1294, 563, 763, 1533, 6272, 10526, 547, 3927, 2268, 2875, 9740, 543, 2208, 538, 2474, 540, 1142, 3044, 269, 1358, 1287, 1305, 2759, 8464, 543, 946, 873, 547, 5031, 875, 3927, 3506, 616, 4051, 532, 741, 1053, 543, 875, 602, 20383, 547, 519, 4441, 563, 19119, 540, 3557, 13281, 585, 12140, 543, 5940, 12230, 454, 3674, 1271, 547, 4063, 602, 711, 3025, 16137, 519, 1482, 1259, 269, 11334, 723, 547, 4001, 513, 1804, 1297, 540, 1053, 543, 4137, 856, 799, 1259, 547, 4001, 513, 1888, 865, 602, 3025, 666, 1451, 269, 28518, 1053, 568, 519, 1655, 1259, 547, 917, 952, 519, 2409, 3610, 616, 1210, 616, 2500, 610, 711, 269, 9208, 1242, 4255, 666, 849, 948, 1397, 875, 1053, 616, 5355, 936, 5503, 563, 2080, 616, 476, 276, 2640, 540, 13387, 4152, 912, 268, 9208, 1242, 4152, 2875, 2773, 593, 840, 1673, 17827, 4441, 13988, 547, 519, 5871, 11759, 269, 8549, 8128, 5965, 891, 4255, 1759, 3446, 1377, 14541, 12201, 563, 268, 1635, 7893, 513, 13387, 1592, 540, 1702, 1851, 782, 1053, 3506, 786, 917, 952, 519, 1699, 2069, 1377, 1373, 6026, 568, 3608, 610, 28119, 269, 898, 1128, 580, 919, 513, 6643, 593, 875, 547, 3136, 15980, 1434, 2164, 610, 875, 547, 2087, 2164, 602, 616, 711, 909, 547, 519, 3044, 563, 268, 966, 16191, 1239, 568, 9715, 950, 13387, 4255, 616, 1500, 269, 3683, 942, 713, 1239, 2337, 5635, 3140, 1239, 593, 891, 4441, 269, 898, 2337, 3391, 1153, 6454, 543, 1153, 3102, 4058, 7341, 563, 268, 13281, 3091, 513, 4023, 6476, 281, 5272, 2875, 4991, 519, 1482, 1449, 543, 786, 581, 28439, 8850, 676, 6191, 267, 865, 606, 6662, 1267, 666, 581, 5833, 269, 1280, 1053, 945, 723, 4049, 9124, 610, 1893, 7496, 267, 972, 616, 4244, 10526, 602, 666, 581, 1031, 563, 268, 13281, 2337, 3506, 543, 3251, 593, 3950, 609, 5313, 4170, 543, 1445, 593, 4180, 2298, 2069, 269, 12140, 543, 2829, 2226, 5571, 2792, 609, 5313, 8128, 2429, 519, 1184, 269, 901, 2636, 3506, 547, 3082, 741, 6437, 543, 3450, 2409, 267, 865, 789, 666, 1331, 519, 2229, 4170, 543, 1118, 2386, 1053, 1810, 1406, 2887, 1932, 2484, 3297, 269, 898, 849, 2337, 3391, 3506, 543, 1153, 13102, 1544, 6619, 543, 5635, 4566, 267, 6578, 267, 543, 3318, 1646, 5752, 563, 13425, 13050, 938, 3896, 827, 1533, 10526, 267, 1519, 7044, 689, 938, 12751, 14288, 20229, 3220, 269, 10127, 5055, 9652, 267, 938, 21246, 1023, 267, 543, 1256, 938, 1053, 2336, 31306, 5649, 344, 5183, 3820, 814, 2661, 2070, 762, 1239, 585, 782, 547, 1294, 269, 623, 3201, 5425, 7512, 2385, 5955, 256, 1280, 948, 16208, 610, 17265, 713, 1239, 267, 5225, 1745, 1863, 547, 3914, 13050, 547, 938, 8111, 6665, 528, 540, 8549, 15789, 2098, 1993, 807, 4210, 5573, 330, 693, 4757, 11333, 2593, 610, 476, 279, 6507, 268, 278, 1839, 268, 30116, 276, 1535, 8099, 279, 269, 0, 15124, 14440, 25803, 685, 3045, 1392, 2456, 1810, 1406, 7363, 1491, 1747, 12422, 267, 855, 2094, 519, 932, 641, 514, 1299, 5576, 30977, 1032, 476, 1001, 271, 543, 519, 28988, 345, 339, 16873, 476, 1001, 272, 267, 942, 814, 1631, 2097, 585, 1776, 30140, 1271, 21917, 563, 9213, 267, 519, 476, 2420, 526, 540, 4864, 476, 1001, 273, 7436, 519, 476, 5611, 1296, 14512, 540, 519, 3943, 21917, 19863, 324, 13891, 1380, 344, 267, 676, 1082, 2808, 519, 4651, 540, 968, 19640, 2575, 9731, 288, 1715, 28042, 31326, 454, 5719, 321, 1380, 344, 779, 14440, 2575, 568, 7361, 513, 1353, 538, 20538, 269, 4107, 540, 1010, 1570, 2501, 1152, 513, 1906, 5756, 1310, 28988, 345, 339, 779, 2669, 267, 855, 568, 4174, 330, 5944, 1114, 269, 717, 821, 616, 519, 19711, 532, 12354, 1511, 15102 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 568, 513, 476, 3422, 279, 1126, 27231, 1433, 2854, 543, 11609, 676, 1810, 1954, 17507, 267, 543, 3370, 676, 269, 1452, 616, 5078, 585, 20854, 267, 9251, 543, 2038, 10026, 3214, 269, 634, 15888, 540, 519, 2462, 7703, 543, 2370, 7703, 2984, 3142, 721, 519, 9661, 540, 513, 269, 8866, 1175, 2648, 519, 2984, 899, 4154, 559, 4169, 267, 524, 785, 699, 12848, 267, 22850, 684, 29992, 3092, 4583, 18912, 9661, 4154, 559, 4169, 269, 14594, 536, 9904, 16439, 1433, 609, 1383, 543, 16168, 7703, 20419, 269, 9466, 7703, 267, 6960, 7703, 13492, 267, 2238, 267, 543, 25258, 269, 16974, 3817, 585, 3214, 7703, 7801, 3817, 811, 20419, 12217, 20419, 7703, 7801, 3817, 269, 2983, 996, 534, 329, 8932, 27977, 585, 3214, 5227, 585, 596, 476, 1556, 563, 297, 2794, 1376, 707, 1126, 338, 2648, 540, 1565, 609, 938, 24015, 2966, 9251, 3756, 269, 14594, 536, 9904, 16439, 1433, 609, 1383, 543, 16168, 7703, 269, 19468, 3700, 1494, 1562, 1650, 19347, 676, 4626, 4439, 18403, 798, 711, 4647, 689, 269, 3245, 1287, 593, 267, 519, 2012, 22788, 11276, 7703, 568, 1031, 547, 3277, 547, 28077, 3662, 31119, 602, 18613, 513, 2370, 7703, 7750, 269, 901, 729, 606, 2653, 3018, 547, 1544, 267, 2094, 972, 616, 865, 1082, 1390, 4605, 2835, 543, 13492, 856, 972, 547, 3442, 689, 269, 769, 519, 1101, 540, 513, 1000, 641, 691, 3126, 267, 596, 786, 3605, 2093, 585, 2085, 14363, 2835, 543, 9413, 602, 6338, 3214, 547, 891, 5863, 2831, 269, 17828, 569, 3358, 585, 707, 1396, 339, 23057, 6267, 2115, 267, 891, 9251, 3756, 786, 2253, 10962, 707, 1126, 547, 519, 5022, 540, 519, 9904, 267, 10203, 267, 5546, 267, 6482, 2645, 267, 543, 1297, 2631, 269, 1215, 1082, 2835, 1705, 596, 1224, 538, 519, 4928, 19108, 610, 693, 21557, 2063, 3781, 269, 14295, 9398, 7328, 13558, 562, 4148, 17281, 16720, 321, 544, 3149, 562, 9346, 562, 25632, 2528, 563, 2467, 616, 849, 2238, 585, 513, 1297, 540, 5172, 3197, 689, 1126, 27231, 2835, 1519, 2144, 545, 1286, 956, 6960, 7703, 543, 22774, 3165, 269, 901, 2025, 812, 1351, 706, 5797, 729, 513, 7703, 267, 646, 1185, 1100, 2828, 9170, 269, 9741, 7703, 16137, 519, 2081, 540, 519, 1158, 538, 713, 8748, 3126, 1759, 593, 519, 5929, 1126, 27231, 1433, 269, 23897, 1343, 540, 1007, 267, 1164, 638, 1275, 5961, 3773, 1169, 1554, 269, 645, 8986, 6249, 2238, 543, 25258, 17680, 3960, 569, 12217, 267, 3109, 12217, 267, 5774, 320, 12217, 267, 8701, 12217, 267, 3141, 12217, 855, 711, 32748, 531, 553, 616, 782, 2818, 540, 519, 7703, 1920, 269, 2290, 1187, 1433, 547, 6338, 707, 23021, 547, 568, 12217, 10690, 5694, 676, 737, 12609, 530, 12291, 269, 3733, 8701, 7703, 7801, 9212, 723, 930, 540, 519, 8701, 7703, 521, 7226, 899, 6777, 543, 4672, 267, 543, 1256, 930, 4672, 6199, 338, 269, 1306, 23021, 1250, 3214, 6068, 2835, 899, 8701, 7703, 267, 8701, 7703, 1018, 798, 596, 5873, 24988, 2854, 676, 3915, 31994, 267, 795, 337, 269, 15012, 721, 693, 519, 1650, 5503, 14500, 8756, 585, 6266, 811, 1390, 1126, 27231, 2984, 1224, 856, 10978, 269, 1703, 568, 513, 2898, 3126, 540, 6653, 2835, 827, 2370, 8701, 7703, 563, 11742, 547, 2097, 538, 7703, 1126, 27231, 1650, 593, 1514, 26865, 269, 15932, 569, 1747, 519, 476, 1428, 4773, 540, 3043, 1957, 519, 4672, 6199, 338, 593, 519, 6989, 269, 23413, 11276, 7703, 8964, 543, 9416, 680, 904, 2947, 2370, 12217, 821, 2370, 7703, 342, 1180, 1359, 1018, 547, 269, 9466, 7703, 2979, 25258, 6960, 7703, 15971, 6486, 543, 804, 1678, 666, 2856, 2370, 6960, 7703, 7792, 5467, 6960, 7703, 4605, 605, 1186, 6960, 7703, 7792, 6486, 547, 979, 609, 1433, 4216, 4739, 7792, 6863, 6486, 585, 2038, 3988, 4806, 6486, 267, 4938, 629, 6486, 543, 12470, 564, 16853, 6960, 7703, 7924, 1770, 5862, 513, 6960, 7703, 267, 2458, 720, 513, 5835, 21868, 269, 8437, 593, 513, 1433, 3382, 547, 1205, 811, 1344, 827, 519, 1433, 952, 12349, 3388, 9251, 949, 1205, 513, 1507, 10243, 269, 674, 5424, 12470, 1115, 616, 711, 1152, 513, 1390, 5162, 3214, 4739, 855, 789, 616, 3501, 5916, 609, 513, 5172, 1126, 27231, 1433, 827, 8701, 12217, 269, 2986, 782, 519, 1655, 331, 3437, 543, 1034, 11599, 5515, 538, 1126, 27231, 3332, 267, 606, 1659, 2685, 269, 23413, 11276, 7703, 2835, 585, 9251, 6249, 7792, 3817, 269, 3776, 9251, 12217, 2835, 3568, 519, 1034, 2347, 2038, 269, 9466, 7703, 267, 6960, 7703, 267, 1018, 798, 596, 1294, 1224, 16965, 596, 32353, 269, 14168, 543, 1863, 547, 1820, 2370, 7703, 7801, 3817, 585, 1453, 269, 8111, 7801, 1863, 7792, 7801, 3817, 585, 3214, 267, 7801, 9212, 267, 1863, 7990, 532, 1433, 267, 12383, 267, 7792, 5961, 267, 17157, 691, 267, 3109, 543, 3043, 5961, 267, 1899, 1148, 543, 12400, 269, 595, 1393, 29681, 20419, 7703, 3662, 1688, 6537, 6960, 11442, 20419, 22788, 11276, 7703, 18795, 593, 513, 11909, 4282, 609, 2699, 1957, 2295, 269, 901, 1433, 3294, 568, 3810, 2502, 543, 3947, 1175, 519, 1318, 2179, 540, 15923, 1510, 11566, 707, 9251, 518, 563, 27409, 2931, 267, 13492, 267, 543, 2238, 547, 1118, 5162, 1565, 1187, 269, 3371, 568, 513, 1390, 4015, 540, 22788, 11276, 7703, 7801, 3817, 7792, 585, 707, 269, 1284, 1224, 835, 610, 1079, 540, 519, 540, 519, 2835, 7396, 2630, 1142, 1554, 547, 519, 1453, 1282, 5858, 942, 610, 1650, 942, 269, 9717, 513, 1957, 6676, 519, 1126, 786, 30164, 519, 7703, 875, 789, 1616, 547, 269, 11206, 20419, 2831, 609, 20224, 6152, 4104, 20419, 563, 10403, 7792, 10959, 585, 20419, 1915, 13492, 585, 9251, 543, 9656, 3214, 269, 12409, 4247, 585, 9251, 1453, 20036, 27033, 1941, 7801, 1433, 610, 2985, 585, 1453, 540, 1153, 543, 9251, 2085, 269, 6423, 811, 2093, 827, 6960, 7703, 267, 9251, 543, 9251, 2835, 269, 4855, 519, 1283, 476, 1911, 1034, 2442, 3688, 538, 32312, 2835, 1655, 23965, 563, 8196, 713, 6249, 547, 8661, 3084, 22788, 11276, 7703, 1554, 694, 4697, 476, 280, 610, 3084, 22788, 11276, 7703, 17552, 5371, 1554, 5104, 569, 476, 1015, 269, 2060, 4557, 1114, 4365, 2010, 713, 1305, 568, 1390, 585, 1818, 513, 1491, 24610, 4365, 1433, 269, 17949, 1863, 7703, 7801, 3817, 547, 2681, 267, 5862, 610, 4739, 344, 3872, 3785, 585, 1762, 1453, 543, 519, 1762, 693, 2295, 269, 4855, 20419, 7703, 6006, 2592, 538, 554, 323, 543, 6634, 540, 824, 28370, 16451, 6006, 6337, 267, 12383, 543, 10321, 538, 519, 9505, 614, 18450, 4015, 269, 14689, 279, 476, 31430, 476, 15946, 272, 476, 275, 4817, 476, 276, 1240, 476, 15704, 476, 12893, 277, 476, 13893, 279, 476, 4375, 278, 476, 16409, 278, 476, 278, 4343, 476, 8064, 277, 476, 1960, 476, 12739, 476, 4281, 275, 476, 279, 4343, 476, 6321, 279, 476, 4037, 275, 476, 25375, 476, 6344, 273, 476, 6321, 273, 476, 9873, 277, 476, 276, 6078, 476, 278, 4029, 476, 3192, 476, 5325, 275, 476, 4510, 272, 476, 15946, 275, 476, 6812, 275, 476, 16928, 277, 476, 9340, 277, 476, 10441, 280, 476, 12893, 280, 476, 4649, 277, 476, 12208, 271, 476, 29496, 476, 7176, 275, 476, 25002, 476, 2767, 476, 5325, 278, 476, 2568, 273, 476, 9610, 278, 476, 4343, 272, 0, 3674, 21939, 17149, 888, 12606, 1772, 21939, 17149, 286, 2483, 3412, 332, 12568, 3040, 3040, 3040, 3040, 3040, 3040, 3040, 454, 3412, 332, 12568, 2667, 574, 7976, 28636, 12729, 17796, 9137, 1306, 23796, 4530, 1948, 273, 1985, 1362, 454, 2108, 22818, 519, 1034, 3407, 1267, 540, 782, 2069, 568, 519, 2702, 547, 1118, 3054, 798, 519, 3364, 596, 723, 547, 798, 267, 950, 621, 11129, 547, 581, 2944, 267, 2436, 596, 899, 621, 610, 711, 1848, 1107, 7338, 8361, 670, 5060, 2917, 267, 4437, 6048, 454, 8489, 616, 1034, 3656, 11082, 689, 286, 5440, 476, 1015, 538, 476, 1001, 271, 454, 13126, 281, 772, 2529, 269, 4972, 540, 13067, 14657, 8232, 5291, 2517, 4178, 6155, 26387, 10993, 24474, 331, 3869, 270, 7221, 23995, 520, 2524, 9706, 3016, 566, 521, 14672, 28739, 6958, 337, 318, 1001, 271, 15005, 454, 300, 1410, 4815, 3127, 13372, 3624, 10476, 21896, 29401, 6243, 18010, 27425, 25706, 454, 1432, 2694, 540, 519, 772, 2529, 269, 798, 1034, 11082, 7017, 538, 888, 1432, 2694, 540, 519, 772, 2529, 269, 798, 1034, 11082, 7017, 538, 286, 1656, 1946, 286, 4993, 454, 303, 2313, 543, 29553, 2188, 540, 26790, 883, 519, 772, 2529, 269, 32379, 2188, 6710, 454, 325, 8533, 13864, 10617, 4108, 8908, 454, 516, 31437, 610, 2797, 20655, 454, 303, 2313, 543, 29553, 2188, 540, 26790, 883, 519, 772, 2529, 269, 29553, 2188, 8226, 540, 11995, 3255, 7694, 1920, 3909, 5191, 2804, 5191, 2069, 454, 296, 993, 513, 3267, 476, 272, 269, 476, 273, 269, 476, 274, 269, 476, 275, 563, 5575, 5108, 19366, 630, 322, 877, 547, 519, 772, 2529, 269, 711, 4535, 1934, 264, 5822, 5108, 630, 18499, 3357, 547, 519, 772, 2529, 1421, 4535, 1934, 264, 12059, 5108, 630, 6588, 526, 18499, 3357, 547, 772, 2529, 4700, 7731, 814, 1044, 538, 519, 772, 2529, 269, 811, 982, 476, 274, 5481, 454, 1432, 568, 21939, 888, 10112, 574, 7976, 476, 272, 269, 7917, 661, 269, 5244, 779, 2757, 21939, 3069, 454, 273, 269, 29859, 23583, 779, 4207, 5784, 476, 274, 269, 9710, 864, 918, 718, 523, 779, 2686, 12683, 1143, 4586, 27144, 5244, 779, 2757, 21939, 2203, 267, 21939, 4386, 1310, 476, 274, 5481, 269, 3040, 476, 272, 560, 281, 6560, 547, 1451, 519, 1007, 1259, 540, 1007, 2197, 267, 3180, 593, 547, 1082, 3344, 540, 741, 2528, 454, 6097, 547, 7917, 5244, 779, 2757, 21939, 2203, 3040, 476, 273, 526, 281, 7390, 1857, 3506, 1451, 2296, 1732, 982, 3237, 454, 16673, 1847, 856, 540, 17801, 1227, 19882, 16973, 19533, 2576, 3544, 540, 741, 5198, 269, 12846, 2938, 607, 16080, 11107, 543, 949, 2015, 2933, 16080, 11107, 454, 27144, 5244, 779, 2757, 21939, 2203, 3040, 476, 274, 6113, 281, 6264, 18244, 540, 11082, 267, 1847, 4625, 883, 13416, 540, 1977, 1272, 563, 9802, 1451, 513, 1906, 1913, 540, 22594, 685, 1893, 267, 917, 513, 1906, 10346, 267, 610, 605, 18690, 267, 855, 3717, 6140, 2296, 23225, 2055, 3823, 741, 22874, 454, 6097, 547, 2757, 21939, 2203, 267, 21939, 4386, 1310, 476, 274, 5481, 269, 3040, 476, 272, 560, 281, 9620, 547, 1451, 519, 1007, 1259, 454, 1892, 476, 273, 526, 281, 1451, 2296, 1732, 982, 3237, 267, 1847, 856, 540, 17801, 1227, 19882, 16973, 267, 19533, 2576, 3544, 540, 741, 5198, 269, 12846, 2938, 607, 16080, 11107, 3040, 476, 274, 6113, 281, 1847, 4625, 883, 519, 13416, 1977, 1272, 563, 1103, 707, 6644, 610, 2123, 2833, 814, 713, 1044, 3020, 888, 290, 761, 6291, 540, 2757, 21939, 2203, 476, 272, 269, 22695, 2803, 2085, 540, 7127, 454, 273, 269, 22695, 2803, 5198, 454, 274, 269, 22695, 2803, 3903, 454, 290, 761, 6291, 540, 2757, 21939, 2203, 476, 275, 269, 22695, 2803, 1895, 2450, 2676, 935, 1417, 5928, 267, 543, 942, 540, 7127, 454, 276, 269, 22695, 2803, 16726, 1063, 519, 454, 300, 559, 2023, 23583, 779, 12634, 14358, 593, 2667, 574, 7976, 23583, 4330, 476, 278, 1114, 1016, 3157, 540, 21939, 454, 300, 559, 2023, 23583, 779, 12634, 14358, 593, 2667, 574, 7976, 454, 5278, 1745, 602, 711, 782, 616, 2009, 476, 272, 269, 8836, 630, 335, 847, 1182, 543, 5389, 264, 476, 273, 269, 23305, 630, 25217, 338, 267, 6009, 267, 8027, 267, 16351, 21384, 540, 2486, 264, 476, 274, 269, 3057, 1388, 630, 28412, 4891, 264, 476, 275, 269, 5772, 881, 1049, 630, 1492, 1895, 596, 2697, 609, 264, 476, 276, 269, 5900, 15994, 630, 2181, 9080, 823, 264, 476, 277, 269, 19884, 630, 29171, 19303, 264, 476, 278, 269, 595, 15960, 630, 335, 11823, 1379, 267, 6041, 538, 6214, 264, 21939, 563, 27839, 1154, 8000, 5288, 269, 6428, 611, 30558, 454, 24292, 1773, 1116, 1143, 3013, 454, 295, 528, 864, 918, 718, 523, 779, 8836, 1773, 1116, 1143, 11683, 640, 779, 2528, 1058, 711, 5372, 12102, 779, 2528, 1809, 1039, 547, 621, 454, 14737, 528, 640, 1895, 779, 2081, 1058, 581, 7608, 9701, 581, 2938, 607, 968, 13563, 1242, 892, 1510, 7106, 8960, 607, 10058, 2516, 454, 27839, 1154, 8000, 5288, 269, 6428, 611, 30558, 6904, 798, 596, 1745, 568, 1732, 585, 519, 2136, 2276, 286, 4208, 286, 8836, 1773, 1116, 1143, 454, 27650, 17796, 16103, 689, 519, 4993, 7732, 540, 6837, 476, 272, 269, 12532, 1472, 543, 2070, 782, 540, 519, 2592, 476, 273, 269, 5776 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 2136, 2276, 269, 3776, 2221, 538, 1686, 6538, 3568, 936, 476, 1220, 267, 1822, 4628, 3406, 762, 13366, 269, 4455, 476, 274, 267, 476, 4350, 271, 267, 634, 11204, 9483, 21001, 2193, 269, 3371, 616, 519, 1883, 8090, 538, 14151, 781, 1686, 936, 519, 1296, 267, 689, 840, 4211, 2753, 2782, 2621, 547, 519, 3527, 540, 3532, 2797, 5515, 543, 32333, 602, 581, 325, 749, 14151, 7264, 269, 16952, 8989, 676, 1325, 2088, 17659, 5112, 267, 14970, 3163, 19928, 12460, 269, 2622, 12668, 594, 543, 4083, 941, 971, 2621, 602, 1185, 513, 1713, 1198, 593, 519, 3003, 1158, 269, 6792, 568, 513, 2244, 540, 26037, 267, 609, 1164, 10239, 543, 2620, 666, 344, 976, 538, 519, 4099, 540, 519, 2197, 267, 27789, 24301, 538, 519, 5087, 267, 543, 10053, 4764, 7733, 538, 519, 5045, 543, 7532, 269, 476, 16825, 277, 281, 8361, 543, 10906, 19533, 282, 31218, 6423, 713, 2680, 538, 824, 28868, 281, 1635, 476, 3707, 278, 910, 589, 772, 23859, 27581, 16154, 3338, 2282, 14472, 6202, 269, 476, 7277, 279, 3967, 269, 476, 2190, 269, 2201, 1804, 2680, 538, 513, 11204, 1920, 568, 519, 844, 1550, 320, 10722, 5028, 269, 634, 3239, 20186, 513, 16826, 6029, 519, 12625, 540, 19090, 538, 519, 2136, 2276, 269, 13690, 7788, 2098, 20810, 10458, 910, 14970, 3163, 19928, 12460, 25599, 5682, 568, 519, 7167, 20738, 13163, 12751, 540, 634, 744, 9383, 1695, 2674, 269, 901, 568, 513, 5542, 540, 1883, 2621, 538, 519, 1686, 540, 9111, 269, 4256, 10367, 1331, 7524, 4778, 543, 26007, 540, 1272, 538, 6792, 269, 634, 4611, 4655, 17275, 519, 11204, 7115, 3350, 267, 4171, 1101, 6205, 729, 513, 17308, 267, 20353, 3241, 670, 10537, 2998, 586, 8779, 8759, 269, 7490, 632, 716, 10675, 707, 740, 3625, 518, 538, 1931, 547, 1294, 938, 20478, 2709, 269, 634, 7292, 5208, 3357, 538, 513, 2486, 602, 7873, 19861, 17478, 543, 7109, 730, 561, 2106, 4221, 269, 769, 476, 1220, 279, 267, 519, 22208, 8111, 306, 9582, 882, 11343, 547, 20274, 4975, 543, 2968, 519, 774, 8974, 269, 1306, 519, 20274, 8466, 5980, 12662, 621, 281, 834, 2690, 2185, 5756, 1310, 476, 4572, 277, 519, 19814, 25793, 14414, 4229, 540, 1689, 10876, 621, 20109, 269, 1715, 3840, 267, 3371, 568, 513, 5618, 7650, 540, 11204, 2528, 269, 634, 1034, 1134, 8153, 23055, 540, 519, 11204, 631, 1116, 626, 1153, 616, 17630, 5211, 320, 630, 6642, 277, 1700, 4198, 278, 1070, 6424, 1325, 325, 16619, 590, 1664, 328, 4592, 2560, 476, 6642, 272, 910, 25381, 519, 17718, 568, 8929, 543, 7166, 269, 834, 29261, 616, 5701, 609, 513, 1164, 4110, 540, 2463, 267, 607, 568, 519, 1920, 538, 2489, 543, 972, 949, 581, 3586, 6560, 267, 2523, 585, 519, 3395, 1453, 1063, 1367, 6499, 543, 2115, 543, 1346, 6499, 543, 2115, 540, 519, 1920, 2437, 3773, 25538, 1676, 269, 6239, 11106, 10837, 781, 2622, 5517, 1504, 267, 623, 1168, 3194, 281, 29570, 519, 21337, 15510, 267, 1635, 3557, 267, 6019, 543, 4975, 267, 2160, 540, 1715, 6792, 281, 4303, 540, 519, 16458, 267, 1975, 3863, 1782, 476, 279, 28902, 17489, 1412, 4754, 11663, 262, 540, 4672, 2085, 581, 6814, 4362, 6456, 538, 8835, 22986, 267, 8136, 11464, 781, 5728, 4760, 1223, 2709, 1007, 10881, 827, 519, 772, 23859, 16154, 538, 14472, 6202, 538, 476, 3707, 278, 267, 4132, 781, 7633, 12617, 476, 2412, 267, 1822, 1296, 3516, 4194, 1279, 29280, 3026, 6387, 11209, 9814, 267, 9147, 12266, 11876, 731, 540, 4831, 10623, 527, 1412, 323, 8812, 2724, 262, 11552, 691, 1117, 267, 16329, 5505, 1265, 5318, 3060, 540, 8835, 14252, 9788, 856, 899, 519, 26355, 267, 476, 272, 267, 8517, 4458, 6040, 26749, 547, 25384, 5601, 7754, 6456, 538, 513, 20850, 5939, 269, 634, 2244, 602, 568, 1459, 6377, 14151, 568, 835, 540, 519, 9510, 20948, 2127, 538, 519, 2136, 2276, 269, 20274, 4975, 1185, 6738, 6385, 3379, 547, 717, 3578, 4471, 543, 4961, 540, 519, 1533, 20366, 547, 1847, 519, 3854, 547, 519, 3677, 2749, 269, 834, 17442, 595, 1075, 541, 778, 320, 257, 568, 513, 1134, 8153, 25795, 25764, 20013, 269, 14307, 1323, 6905, 1974, 540, 10980, 267, 13864, 543, 20247, 6327, 19411, 730, 538, 634, 4279, 12870, 538, 519, 476, 4350, 271, 338, 543, 12012, 519, 1582, 268, 13548, 540, 519, 1533, 607, 32161, 1242, 538, 3627, 23415, 20198, 781, 834, 763, 717, 1905, 525, 540, 654, 337, 987, 1701, 269, 5403, 729, 4152, 1010, 10316, 10581, 30350, 950, 621, 1835, 14414, 16172, 1310, 1491, 4752, 538, 519, 20893, 269, 19198, 979, 689, 7450, 547, 7450, 8876, 22250, 543, 13465, 267, 6998, 585, 12062, 2394, 519, 5411, 1930, 519, 7450, 267, 693, 799, 1448, 519, 5428, 5956, 269, 2368, 1883, 7389, 538, 6792, 781, 1686, 281, 3239, 10677, 5192, 1399, 16103, 3239, 1309, 1632, 6792, 4682, 998, 2101, 2242, 607, 513, 1267, 540, 519, 4838, 3366, 676, 7754, 11155, 966, 8759, 543, 2506, 559, 10730, 2098, 777, 1092, 898, 8711, 8090, 1141, 972, 729, 513, 1713, 4720, 540, 11180, 3741, 269, 634, 3778, 540, 6792, 689, 3504, 2053, 547, 519, 2413, 1554, 269, 3367, 593, 547, 1265, 856, 811, 827, 519, 19142, 540, 519, 772, 2529, 269, 9139, 267, 519, 17039, 27619, 267, 519, 667, 1042, 8845, 3375, 267, 519, 26923, 540, 9410, 13162, 3751, 267, 12789, 1421, 543, 811, 269, 1284, 3142, 547, 596, 513, 1592, 540, 971, 2621, 269, 769, 713, 1592, 649, 2263, 606, 2680, 689, 1142, 8717, 538, 772, 2529, 269, 1686, 602, 814, 8032, 519, 2197, 269, 634, 5072, 540, 519, 5397, 4724, 1533, 3125, 666, 581, 1336, 538, 519, 2244, 23761, 1974, 689, 476, 6642, 280, 547, 476, 5002, 272, 269, 6178, 539, 593, 5988, 476, 273, 267, 476, 7277, 279, 267, 519, 15521, 540, 2871, 611, 2728, 701, 670, 10537, 2998, 4547, 547, 513, 2673, 519, 11204, 12677, 2782, 630, 7277, 277, 1700, 4366, 264, 543, 9583, 24009, 519, 2494, 28685, 20121, 4176, 540, 519, 2136, 2276, 13084, 16845, 676, 3465, 269, 11135, 540, 6792, 4975, 268, 4937, 12736, 7615, 8845, 543, 10136, 818, 633, 538, 6792, 781, 3854, 2749, 543, 4339, 741, 3803, 6370, 1996, 513, 649, 926, 539, 11204, 7952, 269, 2368, 1883, 7389, 543, 2621, 538, 6792, 779, 1686, 616, 607, 5205, 281, 476, 14681, 280, 281, 23634, 525, 521, 5661, 689, 32147, 3570, 543, 3338, 538, 6792, 269, 23883, 3544, 540, 4872, 267, 3885, 616, 3335, 1804, 543, 5165, 15092, 616, 1360, 6857, 540, 741, 9021, 547, 7525, 1920, 2818, 543, 6905, 1920, 971, 607, 30980, 543, 1256, 2673, 2828, 269, 15566, 547, 7033, 5202, 540, 15638, 281, 476, 4198, 272, 547, 476, 3192, 271, 5412, 476, 4350, 279, 634, 4436, 10237, 32554, 1235, 32572, 670, 23167, 543, 674, 761, 345, 5899, 817, 10458, 3605, 519, 1184, 540, 31612, 538, 20879, 269, 6792, 267, 922, 1686, 267, 543, 922, 1004, 2968, 519, 2582, 1034, 1271, 4798, 540, 519, 5458, 9597, 1023, 602, 30164, 519, 6821, 540, 1857, 5656, 269, 6176, 543, 16627, 540, 1883, 2680, 538, 519, 1034, 3102, 8675, 8847, 4199, 593, 519, 1357, 269, 5211, 320, 729, 513, 22082, 540, 631, 1116, 1143, 267, 513, 3350, 602, 1031, 27763, 3774, 1148, 547, 13599, 519, 1004, 269, 476, 6977, 271, 910, 634, 1715, 6792, 24540, 568, 3964, 676, 519, 2136, 2276, 269, 589, 12225, 1108, 540, 1883, 2621, 269, 5510, 619, 513, 26567, 15415, 540, 1271, 7389, 267, 2621, 267, 543, 19325, 538, 14151, 1686, 269, 3509, 3536, 602, 12090, 538, 6792, 616, 2442, 5001, 267, 1519, 19146, 29777, 267, 10217, 543, 6802, 9469, 269, 634, 11802, 543, 13567, 540, 519, 2749, 676, 519, 772, 2529, 269, 593, 20029, 269, 476, 1691, 7436, 519, 796, 334, 24810, 1439, 540, 519, 11204, 12677, 2782, 269, 476, 5908, 274, 910, 634, 7043, 12532, 5956, 607, 519, 18937, 26953, 616, 7142, 547, 882, 11229, 269, 834, 23991, 4559, 616, 2356, 1804, 267, 609, 2757, 4008, 5107, 543, 3573, 1920, 9525, 689, 519, 5007, 2818, 945, 4217, 835, 1776, 538, 1554, 547, 1554, 1272, 2437, 25538, 1676, 5143, 14970, 3163, 269, 634, 544, 652, 714, 334, 630, 288, 1067, 785, 1014, 4149, 20725, 264, 1895, 6589, 585, 476, 7830, 2600, 540, 519, 2551, 269, 6206, 2621, 538, 519, 1686, 540, 9111, 269, 16731, 938, 9746, 3135, 269, 11289, 596, 585, 19142, 909, 547, 14970, 3163, 269, 3571, 7952, 267, 7768, 5631, 540, 544, 652, 714, 657, 543, 12075, 267, 8057, 6385, 543, 4465, 513, 1297, 540, 24984, 267, 855, 789, 941, 5555, 17204, 676, 10424, 626, 10136, 538, 476, 8687, 272, 269, 1717, 267, 2757, 11204, 2021, 21485, 338, 7802, 1631, 5781, 2882, 6266, 540, 15022, 622, 30927, 267, 1419, 1519, 2592, 543, 3270, 602, 723, 12572, 2495, 7923, 547, 873, 269, 7085, 687, 540, 11204, 3484, 4600, 4503, 741, 6009, 607, 10464, 772, 2529, 269, 20558, 2322, 11204, 11396, 856, 540, 1870, 269, 476, 15171, 276, 910, 634, 25069, 14369, 1336, 519, 2749, 540, 14210, 5255, 339, 527, 17427, 269, 634, 2528, 540, 6792, 814, 22734, 513, 16854, 7004, 936, 519, 2250, 1906, 5756, 543, 621, 9775, 4922, 2429, 519, 2197, 269, 4340, 547, 519, 31835, 267, 5053, 568, 9275, 676, 476, 10844, 269, 278, 2600, 540, 519, 11204, 2551, 269, 4989, 476, 736, 12794, 13704, 781, 1290, 564, 5526, 267, 1082, 5165, 15092, 3494, 568, 513, 3771, 321, 5424, 540, 2112, 28872, 652, 559, 775, 543, 2669, 907, 20029, 476, 2767, 623, 21807, 597, 1470, 667, 27927, 29064, 7022, 585, 1010, 21632, 2165, 269, 898, 20054, 519, 2594, 1305, 538, 476, 1220, 271, 676, 715, 8882, 320, 779, 22731, 11204, 31777, 656, 267, 538, 20279, 269, 769, 476, 5197, 279, 519, 3943, 17169, 19167, 594, 22983, 8050, 543, 5116, 1010, 7015, 9478, 593, 519, 17599, 269, 476, 6642, 272, 910, 25381, 519, 17718, 568, 8929, 543, 7166, 269, 11683, 15638, 540, 11204, 7169, 634, 11204, 7169, 729, 513, 2101, 11439, 6560, 5631, 689, 476, 4489, 271, 268, 4572, 271, 267, 513, 2603, 5949, 1369, 713, 4838, 267, 1519, 1082, 2621, 609, 12316, 3401, 543, 3401, 540, 6792, 945, 5337, 1243, 30891, 269, 14151, 3778, 7033, 5202, 12830, 667, 919, 267, 15638, 267, 543, 6660, 16893, 538, 14151, 3778, 269, 6792, 568, 519, 476, 1321, 628, 1034, 29245, 2197, 538, 519, 1158, 267, 609, 936, 476, 11277, 2929, 1004, 538, 513, 5147, 476, 1001, 277, 7447, 267, 2687, 547, 519, 6239, 11106, 10837, 781, 2622, 5517, 1504, 269, 634, 9986, 332, 1815, 338, 7017, 2282, 7638, 659, 745, 345, 269, 769, 6792, 543, 18475, 7905, 27176, 7710, 519, 3592, 7164, 1686, 540, 1079, 1713, 3109, 5095, 269, 3509, 12206, 849, 3494, 602, 519, 1340, 539, 4457, 24413, 932, 2507, 8892, 2475, 267, 5549, 269, 476, 1556, 4639, 476, 5655, 526, 9335, 267, 476, 1428, 628, 4469, 3233, 267, 634, 1034, 1134, 8153, 23055, 540, 519, 11204, 631, 1116, 626, 1153, 616, 17630, 5211, 320, 630, 6642, 277, 1700, 4198, 278, 1070, 6424, 1325, 325, 16619, 590, 1664, 328, 4592, 2560, 589, 2603, 666, 4755, 538, 476, 14093, 1296, 269, 589, 10927, 540, 670, 3518, 1245, 339, 3557, 2160, 538, 20211, 1092, 267, 2836, 604, 1421, 646, 5249, 607, 3377, 9375, 585, 634, 23105, 4964, 538, 20274, 4975, 1354, 11836, 634, 744, 9383, 1695, 2674, 269, 1452, 2516, 1711, 513, 2528, 602, 568, 2189, 547, 6792, 269, 7085, 3317, 807, 6040, 5389, 3136, 538, 8988, 1606, 19431, 532, 267, 19821, 923, 267, 20955, 267, 20341, 543, 11127, 32734, 3058, 267, 2687, 547, 834, 300, 1410, 4815, 1280, 1411, 1701, 269, 19676, 568, 849, 513, 20013, 267, 2687, 547, 3778, 2593, 269, 6987, 2056, 519, 3375, 6194, 1184, 547, 513, 9962, 3296, 540, 2486, 269, 11204, 12563, 2575, 1572, 544, 926, 25764, 568, 1419, 4862, 593, 28037, 1723, 632, 25832, 269, 476, 3707, 278, 910, 589, 772, 23859, 27581, 16154, 3338, 2282, 14472, 6202, 269, 769, 476, 9264, 272, 267, 6792, 10645, 922, 7115, 689, 8050, 269, 476, 16825, 277, 281, 8361, 543, 10906, 19533, 282, 31218, 589, 1067, 785, 1014, 1004, 610, 15866, 589, 1067, 785, 1014, 1004, 2272, 585, 476, 2641, 2600, 267, 1247, 476, 1015, 2600, 540, 519, 2551, 568, 3043, 269, 11204, 12316, 7754, 11155, 966, 8759, 8329, 547, 1715, 6792, 1686, 950, 646, 18084, 6302, 883, 519, 1533, 267, 8781, 1524, 19090, 543, 11318, 476, 1704, 540, 922, 7264, 538, 476, 4489, 277, 269, 476, 4489, 273, 910, 1715, 6792, 568, 15861, 607, 519, 476, 5325, 628, 1533, 269, 6258, 811, 827, 519, 2729 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1242, 5334, 550, 318, 3438, 284, 271, 454, 453, 339, 7505, 1242, 5334, 550, 318, 716, 783, 318, 785, 1182, 17342, 2639, 453, 6112, 6025, 7505, 1242, 5334, 550, 318, 3438, 283, 6352, 6025, 7505, 1242, 5334, 550, 15892, 453, 14851, 18351, 1242, 5334, 550, 318, 3438, 283, 7003, 6025, 7505, 1242, 5334, 550, 2187, 4848, 453, 339, 7505, 1242, 5334, 550, 318, 10420, 284, 339, 7505, 1242, 5334, 550, 314, 339, 7505, 1242, 5334, 550, 318, 3438, 2639, 453, 14851, 1292, 5334, 550, 318, 3438, 283, 7003, 9852, 664, 5334, 550, 2187, 4848, 453, 10852, 5334, 550, 318, 10420, 284, 10852, 5334, 550, 314, 10852, 5334, 550, 318, 3438, 6540, 453, 453, 6112, 1292, 5334, 550, 318, 10420, 256, 284, 339, 7505, 1242, 5334, 550, 318, 10420, 543, 1292, 5334, 550, 318, 10420, 2525, 257, 834, 912, 4848, 14851, 1292, 5334, 550, 318, 3438, 266, 272, 2525, 6352, 9852, 664, 5334, 550, 2567, 19874, 454, 4848, 453, 10852, 5334, 550, 318, 3438, 23785, 272, 454, 4848, 453, 10852, 5334, 550, 318, 10420, 284, 10852, 5334, 550, 314, 10852, 5334, 550, 318, 3438, 6540, 453, 453, 6112, 1292, 5334, 550, 318, 10420, 256, 284, 339, 7505, 1242, 5334, 550, 318, 10420, 543, 18351, 1242, 5334, 550, 318, 10420, 2525, 257, 834, 912, 4848, 14851, 18351, 1242, 5334, 550, 318, 3438, 266, 272, 2525, 6352, 6025, 7505, 1242, 5334, 550, 2567, 19874, 454, 4848, 453, 339, 7505, 1242, 5334, 550, 318, 3438, 23785, 272, 454, 4848, 453, 339, 7505, 1242, 5334, 550, 318, 10420, 284, 339, 7505, 1242, 5334, 550, 314, 339, 7505, 1242, 5334, 550, 318, 3438, 2639, 453, 14851, 18351, 1242, 5334, 550, 318, 10420, 256, 6889, 834, 912, 4848, 453, 339, 7505, 1242, 5334, 550, 318, 716, 783, 318, 785, 1182, 6910, 9230, 339, 7505, 1242, 5334, 550, 318, 10420, 267, 1292, 5334, 550, 318, 3438, 4917, 453, 453, 10852, 5334, 550, 318, 3438, 23785, 272, 454, 453, 453, 339, 7505, 1242, 5334, 550, 318, 3438, 23785, 272, 692, 7531, 453, 453, 258, 1820, 9852, 664, 5334, 550, 318, 10420, 267, 18351, 1242, 5334, 550, 318, 10420, 994, 453, 258, 1820, 6025, 7505, 1242, 5334, 550, 318, 716, 783, 318, 785, 1182, 994, 453, 5320, 284, 3269, 454, 453, 5320, 318, 11034, 318, 520, 284, 271, 454, 453, 8161, 284, 271, 454, 453, 339, 7505, 318, 3438, 284, 271, 454, 453, 339, 7505, 318, 11034, 29223, 17342, 2639, 22610, 512, 538, 21797, 1384, 453, 453, 258, 1820, 2891, 6352, 6025, 7505, 1242, 5334, 550, 318, 716, 783, 318, 785, 1182, 281, 14307, 6352, 6025, 7505, 1242, 5334, 550, 318, 716, 783, 318, 785, 1182, 1070, 18351, 318, 3438, 994, 453, 453, 258, 1820, 6025, 267, 18351, 1242, 5334, 550, 318, 716, 783, 318, 785, 1182, 314, 339, 7505, 318, 3438, 6012, 272, 7481, 453, 453, 339, 272, 284, 339, 18622, 2897, 2891, 955, 268, 14824, 19515, 453, 14851, 18351, 318, 3438, 283, 6352, 6025, 7505, 1242, 5334, 550, 318, 716, 783, 318, 785, 1182, 2187, 4848, 453, 339, 7505, 318, 11034, 29223, 6910, 9230, 339, 267, 18351, 1242, 5334, 550, 318, 716, 783, 318, 785, 1182, 314, 339, 7505, 318, 3438, 6012, 272, 27994, 4752, 3553, 4917, 453, 453, 339, 7505, 318, 3438, 23785, 6352, 6025, 272, 994, 4848, 454, 453, 7531, 16596, 18351, 318, 11034, 29223, 19638, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 453, 258, 1257, 6889, 17806, 8698, 11434, 814, 1305, 17806, 263, 21803, 1070, 855, 950, 3168, 593, 519, 9022, 267, 594, 1810, 1405, 1294, 835, 585, 25373, 299, 599, 719, 4799, 453, 3667, 6889, 567, 4880, 6826, 753, 281, 1215, 547, 946, 1547, 21186, 6119, 538, 4880, 6826, 753, 1616, 263, 4415, 955, 268, 320, 955, 268, 10946, 3065, 955, 268, 21653, 955, 268, 1993, 955, 268, 29121, 279, 343, 24833, 277, 21663, 4840, 13537, 2891, 10852, 1257, 281, 14307, 3667, 994, 28768, 28768, 453, 339, 7505, 318, 310, 29223, 815, 4786, 26748, 15461, 318, 10420, 29495, 267, 21797, 267, 476, 271, 994, 13537, 2891, 339, 7505, 318, 310, 29223, 281, 14307, 18351, 318, 310, 29223, 2020, 0, 26611, 31162, 24800, 270, 7090, 274, 692, 18743, 272, 815, 27835, 4067, 9166, 262, 17951, 13717, 12887, 720, 9166, 736, 10086, 5417, 337, 9166, 262, 420, 368, 369, 26266, 508, 262, 8679, 2745, 5560, 1112, 272, 2020, 258, 18777, 379, 25426, 362, 21211, 10429, 372, 19404, 490, 7511, 29219, 454, 2745, 5560, 1112, 272, 9131, 4067, 11172, 2020, 258, 418, 371, 375, 20693, 510, 32517, 350, 418, 479, 363, 454, 18743, 272, 9131, 25217, 11172, 815, 834, 420, 493, 506, 421, 372, 509, 10533, 503, 31801, 489, 4840, 2745, 5560, 1112, 272, 994, 18411, 258, 10254, 510, 30522, 353, 30317, 27381, 510, 4970, 492, 418, 372, 483, 419, 358, 374, 21211, 10429, 372, 454, 23437, 9598, 272, 9131, 25217, 23300, 2745, 5560, 1112, 272, 994, 18743, 272, 269, 27234, 3890, 476, 1948, 418, 372, 483, 419, 358, 374, 21211, 10429, 372, 454, 23437, 9598, 272, 8587, 1948, 10254, 510, 30522, 353, 21211, 10429, 372, 454, 18411, 258, 13213, 498, 18713, 508, 22047, 21211, 10429, 372, 7511, 418, 369, 483, 14035, 491, 10254, 370, 454, 18743, 273, 815, 9598, 272, 6983, 4878, 4590, 2745, 5560, 1112, 273, 2020, 258, 10254, 505, 417, 375, 374, 22047, 13161, 364, 21211, 10429, 372, 8147, 23284, 31365, 28578, 572, 336, 18809, 30317, 27381, 510, 417, 479, 504, 21211, 10429, 372, 7511, 421, 498, 362, 454, 572, 336, 815, 18011, 4067, 12887, 720, 12887, 5417, 337, 5073, 18743, 273, 815, 9598, 273, 269, 5228, 12399, 263, 572, 336, 994, 2745, 5560, 1112, 273, 2020, 258, 10254, 353, 13161, 511, 421, 498, 362, 15159, 12571, 355, 21928, 21211, 10429, 372, 18809, 454, 2745, 3488, 4067, 262, 538, 9598, 272, 2020, 258, 418, 488, 488, 21211, 10429, 372, 18743, 272, 18809, 7511, 421, 498, 362, 270, 29219, 28098, 418, 505, 368, 13161, 364, 28996, 18743, 274, 18809, 454, 18743, 274, 815, 31460, 18743, 274, 269, 26303, 5560, 1112, 272, 994, 2745, 5560, 1112, 274, 2020, 258, 10254, 510, 30522, 353, 21211, 10429, 372, 14756, 503, 27936, 7511, 4486, 19867, 478, 28098, 18021, 498, 7511, 29219, 8147, 13213, 498, 18713, 508, 29219, 20992, 420, 351, 360, 10254, 510, 30522, 353, 7511, 29219, 454, 18743, 274, 21014, 3488, 4067, 5073, 2745, 5560, 1112, 274, 2020, 258, 421, 504, 493, 10951, 374, 13213, 498, 18713, 508, 23946, 370, 10254, 510, 30522, 353, 21211, 10429, 372, 18809, 7511, 31006, 12571, 492, 13601, 28098, 421, 498, 362, 25520, 29219, 454, 2745, 5560, 1112, 274, 21014, 14403, 15405 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2018, 1592, 540, 7402, 3300, 3615, 713, 7402, 3300, 12260, 539, 454, 1038, 2407, 297, 306, 2177, 630, 1598, 2187, 2018, 32227, 6041, 540, 519, 7402, 3300, 692, 1038, 3629, 2901, 513, 32227, 610, 782, 824, 6724, 607, 3403, 563, 1038, 634, 32227, 786, 936, 20183, 1022, 824, 3403, 952, 1305, 563, 1038, 29185, 1038, 1948, 17997, 1152, 7493, 946, 540, 713, 1362, 454, 1038, 7682, 1826, 4311, 264, 11203, 7402, 3300, 3528, 11243, 692, 1038, 2706, 14061, 1029, 8181, 9191, 454, 2018, 32165, 284, 1211, 8595, 2676, 2018, 12260, 1963, 284, 684, 6674, 1963, 2676, 2018, 2407, 297, 306, 2177, 284, 21459, 297, 306, 2177, 454, 1038, 25589, 1038, 7682, 1826, 4311, 269, 1211, 8595, 264, 2652, 1193, 7531, 5035, 10886, 263, 21886, 3300, 3528, 11243, 2187, 825, 8173, 825, 1323, 3504, 2029, 689, 519, 3014, 3794, 7112, 6409, 523, 454, 825, 29185, 825, 7874, 12173, 815, 834, 30726, 5016, 454, 5035, 9549, 288, 2151, 22777, 263, 21886, 3300, 3528, 11243, 2187, 825, 8173, 825, 589, 5428, 9740, 689, 519, 3014, 3794, 7112, 6409, 523, 454, 825, 29185, 825, 7874, 12173, 815, 834, 4820, 344, 9740, 5016, 454, 5035, 6820, 288, 2151, 22777, 263, 21886, 3300, 3528, 11243, 2187, 825, 8173, 825, 589, 561, 2128, 9740, 689, 519, 3014, 3794, 7112, 6409, 523, 454, 825, 29185, 825, 7874, 12173, 815, 834, 29514, 9740, 5016, 454, 5035, 7402, 3300, 3528, 10831, 263, 21886, 3300, 2187, 825, 8173, 825, 1323, 1958, 537, 614, 4857, 609, 513, 2189, 1297, 689, 519, 3014, 3794, 7112, 6409, 523, 454, 825, 17593, 1362, 547, 7001, 6140, 7653, 543, 2621, 454, 825, 29185, 825, 1948, 1058, 581, 7670, 9287, 676, 1126, 5049, 454, 825, 7874, 12173, 815, 834, 16780, 3300, 676, 1297, 5016, 825, 1219, 6449, 8181, 9191, 1345, 267, 32165, 281, 703, 815, 7183, 267, 12260, 1963, 281, 1592, 815, 1496, 3910, 2407, 297, 306, 2177, 281, 1193, 815, 7183, 2187, 1038, 8173, 1038, 32165, 630, 842, 2187, 2018, 519, 32165, 540, 519, 7402, 3300, 454, 1038, 12260, 1963, 630, 4289, 540, 7402, 3300, 2187, 2018, 1592, 540, 7402, 3300, 3615, 713, 7402, 3300, 12260, 539, 454, 1038, 2407, 297, 306, 2177, 630, 1598, 2187, 2018, 32227, 6041, 540, 519, 7402, 3300, 692, 1038, 3629, 2901, 513, 32227, 610, 782, 824, 6724, 607, 3403, 563, 1038, 634, 32227, 786, 936, 20183, 1022, 824, 3403, 952, 1305, 563, 1038, 29185, 1038, 1948, 17997, 1152, 7493, 946, 540, 713, 1362, 454, 1038, 7682, 1826, 4311, 264, 11203, 7402, 3300, 3528, 10831, 692, 1038, 2706, 14061, 1029, 8181, 9191, 454, 2018, 32165, 284, 1211, 8595, 2676, 2018, 12260, 1963, 284, 684, 6674, 1963, 2676, 2018, 2407, 297, 306, 2177, 284, 21459, 297, 306, 2177, 454, 1038, 25589, 1038, 7682, 1826, 4311, 269, 1211, 8595, 264, 2652, 703, 692, 825, 1219, 6449, 1598, 9191, 1345, 264, 9847, 1193, 912, 1038, 8173, 1038, 16849, 2489, 9623, 827, 519, 1958, 537, 614, 630, 1598, 994, 1038, 29185, 1038, 2706, 23919, 815, 2706, 14061, 1029, 1598, 9191, 2020, 1038, 2132, 535, 257, 346, 27273, 23919, 348, 3010, 454, 5035, 7066, 5501, 263, 21886, 3300, 3528, 10831, 2187, 825, 8173, 825, 1323, 7493, 1362, 585, 14951, 689, 519, 3014, 3794, 7112, 6409, 523, 454, 825, 29185, 825, 7874, 12173, 815, 834, 30036, 5501, 5016, 454, 5035, 9214, 11365, 21886, 3300, 3528, 10831, 263, 21886, 3300, 3528, 10831, 2187, 825, 8173, 825, 1323, 7493, 1362, 585, 31278, 13341, 689, 519, 3014, 3794, 7112, 6409, 523, 454, 825, 9214, 11365, 13341, 616, 13341, 799, 32165, 568, 519, 32165, 540, 454, 825, 519, 3105, 7237, 540, 519, 1482, 1826, 2799, 676, 835, 454, 825, 29185, 825, 1948, 1058, 581, 7670, 9287, 676, 1126, 5049, 454, 825, 7874, 12173, 815, 834, 19102, 11365, 7237, 5016, 454, 5035, 5213, 566, 263, 19102, 11365, 21886, 3300, 3528, 10831, 2187, 825, 8173, 825, 589, 25113, 21856, 689, 519, 3014, 3794, 7112, 6409, 523, 454, 825, 29185, 825, 7874, 12173, 815, 834, 18484, 566, 5016, 454, 5035, 9147, 22897, 263, 19102, 11365, 21886, 3300, 3528, 10831, 2187, 825, 8173, 825, 1323, 3504, 2029, 689, 519, 3014, 3794, 7112, 6409, 523, 454, 825, 29185, 825, 7874, 12173, 815, 834, 534, 2615, 2029, 5016, 454, 5035, 7926, 263, 21886, 3300, 3528, 10831, 2187, 825, 8173, 825, 1323, 7493, 1362, 585, 2621, 689, 519, 3014, 3794, 7112, 6409, 523, 454, 825, 29185, 825, 1948, 1058, 581, 7670, 9287, 676, 1126, 5049, 454, 825, 7874, 12173, 815, 834, 324, 1203, 5016, 825, 1219, 6449, 8181, 9191, 454, 1038, 1582, 2676, 1038, 32165, 281, 703, 815, 7183, 2676, 1038, 3903, 281, 1193, 815, 7183, 2676, 1038, 12260, 1963, 281, 1592, 815, 1496, 16689, 1038, 2407, 297, 306, 2177, 281, 703, 815, 7183, 454, 825, 476, 2187, 1038, 8173, 1038, 32165, 630, 842, 2187, 2018, 519, 32165, 540, 519, 2680, 454, 1038, 3903, 9497, 288, 2580, 834, 289, 257, 610, 834, 257, 2187, 2018, 834, 288, 257, 610, 834, 289, 257, 585, 6364, 3903, 267, 834, 257, 952, 1152, 12260, 539, 454, 1038, 12260, 1963, 630, 4289, 540, 7402, 3300, 2187, 2018, 1592, 540, 7402, 3300, 3615, 713, 7402, 3300, 12260, 539, 454, 1038, 29185, 1038, 7682, 1826, 4311, 264, 11203, 7926, 692, 1038, 952, 2407, 297, 306, 2177, 568, 711, 7183, 912, 2018, 2407, 291, 1112, 815, 1582, 269, 5228, 297, 306, 2177, 263, 21459, 297, 306, 2177, 994, 2018, 32165, 815, 2407, 291, 1112, 14277, 1211, 8595, 31116, 2018, 3903, 815, 2407, 291, 1112, 14277, 577, 4069, 31116, 2018, 12260, 1963, 815, 2407, 291, 1112, 14277, 684, 6674, 1963, 257, 6540, 1038, 7682, 3903, 2652, 834, 288, 257, 610, 3903, 2652, 834, 289, 257, 610, 3903, 2652, 834, 5016, 1038, 2706, 14061, 1029, 8181, 9191, 1211, 8595, 267, 12260, 1963, 2020, 1038, 1582, 26716, 4069, 815, 3903, 692, 825, 1219, 6449, 1598, 9191, 1345, 264, 9847, 1193, 912, 1038, 8173, 1038, 16849, 2489, 9623, 827, 519, 2680, 454, 1038, 29185, 1038, 2706, 23919, 815, 2706, 14061, 1029, 1598, 9191, 2020, 1038, 952, 1582, 26716, 4069, 912, 2018, 1193, 318, 754, 815, 535, 9899, 2715, 1345, 26716, 4069, 348, 4840, 1038, 3116, 912, 2018, 1193, 318, 754, 815, 834, 5016, 1038, 2132, 535, 257, 346, 27273, 23919, 2410, 1598, 318, 754, 348, 5016, 454, 5035, 10003, 30631, 27887, 1203, 2187, 825, 8173, 825, 589, 1362, 585, 4155, 2621, 689, 519, 3014, 3794, 7112, 6409, 523, 454, 825, 29185, 825, 7874, 12173, 815, 834, 5802, 2680, 5016, 454, 5035, 4975, 30631, 27887, 1203, 2187, 825, 8173, 825, 589, 1362, 585, 2749, 2621, 689, 519, 3014, 3794, 7112, 6409, 523, 454, 825, 29185, 825, 7874, 12173, 815, 834, 322, 640, 2680, 5016, 454, 5035, 715, 3139, 21886, 3300, 3528, 10831, 263, 21886, 3300, 3528, 10831, 2187, 825, 8173, 825, 1323, 7493, 1362, 585, 13341, 609, 513, 2012, 689, 519, 3014, 3794, 7112, 6409, 523, 454, 825, 29185, 825, 1948, 1058, 581, 7670, 9287, 676, 1126, 5049, 454, 825, 7874, 12173, 815, 834, 24887, 7237, 5016, 825, 1219, 6449, 8181, 9191, 454, 1038, 1582, 2676, 1038, 32165, 281, 703, 815, 7183, 2676, 1038, 2012, 281, 1193, 815, 7183, 2676, 1038, 12260, 1963, 281, 1592, 815, 1496, 16689, 1038, 2407, 297, 306, 2177, 281, 1193, 815, 7183, 454, 825, 476, 2187, 1038, 8173, 1038, 32165, 630, 842, 2187, 2018, 519, 32165, 540, 519, 3957, 7237, 454, 1038, 2012, 630, 11415, 2187, 2018, 519, 2012, 540, 519, 3957, 7237, 454, 1038, 12260, 1963, 630, 4289, 540, 7402, 3300, 2187, 2018, 1592, 540, 7402, 3300, 3615, 713, 7402, 3300, 12260, 539, 692, 1038, 3629, 2901, 513, 32227, 610, 782, 824, 6724, 607, 3403, 563, 1038, 634, 32227, 786, 936, 20183, 1022, 824, 3403, 952, 1305, 563, 1038, 29185, 1038, 952, 2407, 297, 306, 2177, 568, 711, 7183, 912, 2018, 2407, 291, 1112, 815, 1582, 269, 5228, 297, 306, 2177, 263, 21459, 297, 306, 2177, 994, 2018, 32165, 815, 2407, 291, 1112, 14277, 1211, 8595, 31116, 2018, 2012, 815, 2407, 291, 1112, 14277, 4067, 31116, 2018, 12260, 1963, 815, 2407, 291, 1112, 14277, 684, 6674, 1963, 257, 6540, 1038, 7682, 1826, 28442, 264, 2652, 1193, 692, 1038, 2706, 14061, 1029, 8181, 9191, 1211, 8595, 267, 12260, 1963, 2020, 1038, 1582, 20508, 815, 2012, 692, 825, 1219, 6449, 1598, 9191, 1345, 264, 9847, 1193, 912, 1038, 8173, 1038, 16849, 2489, 9623, 827, 519, 3957, 7237, 454, 1038, 29185, 1038, 2706, 23919, 815, 2706, 14061, 1029, 1598, 9191, 2020, 1038, 2132, 535, 257, 346, 27273, 23919, 348, 2715, 1345, 20508, 348, 5016, 454, 5035, 2372, 652, 18217, 3139, 21886, 3300, 3528, 10831, 2187, 825, 8173, 825, 589, 2123, 1391, 689, 519, 3014, 3794, 7112, 6409, 523, 454, 825, 29185, 825, 7874, 12173, 815, 834, 26810, 5016, 454, 5035, 30014, 17637, 18217, 3139, 21886, 3300, 3528, 10831, 2187, 825, 8173, 825, 1323, 6221, 1374, 689, 519, 3014, 3794, 7112, 6409, 523, 454, 825, 29185, 825, 7874, 12173, 815, 834, 14403, 1374, 5016, 454, 5035, 31950, 9222, 18217, 3139, 21886, 3300, 3528, 10831, 2187, 825, 8173, 825, 589, 9183, 689, 519, 3014, 3794, 7112, 6409, 523, 454, 825, 29185, 825, 7874, 12173, 815, 834, 2675, 523, 9222, 5016, 825, 1219, 6449, 8181, 9191, 454, 1038, 1582, 2676, 1038, 32165, 281, 703, 815, 7183, 2676, 1038, 2012, 281, 1193, 815, 7183, 2676, 1038, 7470, 19613, 281, 25373, 19613, 815, 7183, 2676, 1038, 13151, 525, 22561, 2676, 1038, 12260, 1963, 281, 1592, 815, 1496, 16689, 1038, 2407, 297, 306, 2177, 281, 1193, 815, 7183, 454, 825, 476, 2187, 1038, 8173, 1038, 32165, 630, 842, 2187, 2018, 519, 32165, 540, 519, 31950, 9222, 454, 1038, 2012, 630, 11415, 2187, 2018, 519, 2012, 540, 519, 31950, 9222, 454, 1038, 7470, 19613, 630, 294, 5090, 19613, 2187, 2018, 519, 7470, 4087, 540, 519, 31950, 9222, 593, 519, 4786, 540, 3794, 7112, 6409, 523, 454, 1038, 13151, 525, 630, 321, 944, 610, 834, 257, 2187, 2018, 536, 944, 585, 2436, 9183, 729, 12913, 267, 834, 257, 952, 1152, 12260, 539, 454, 1038, 12260, 1963, 630, 4289, 540, 7402, 3300, 2187, 2018, 1592, 540, 7402, 3300, 3615, 713, 7402, 3300, 12260, 539, 454, 1038, 2407, 297, 306, 2177, 630, 1598, 2187, 2018, 32227, 6041, 540, 519, 31950, 9222, 692, 1038, 3629, 2901, 513, 32227, 610, 782, 824, 6724, 607, 3403, 563, 1038, 634, 32227, 786, 936, 20183, 1022, 824, 3403, 952, 1305, 563, 1038, 29185, 1038, 952, 2407, 297, 306, 2177, 568, 711, 7183, 912, 2018, 2407, 291, 1112, 815, 1582, 269, 5228, 297, 306, 2177, 263, 21459, 297, 306, 2177, 994, 2018, 32165, 815, 2407, 291, 1112, 14277, 1211, 8595, 31116, 2018, 2012, 815, 2407, 291, 1112, 14277, 4067, 31116, 2018, 7470, 19613, 815, 25373, 19613, 18692, 3546, 2407, 297, 306, 2177, 284, 329, 5459, 6155, 7927, 263, 21459, 291, 1112, 14277, 28186, 19613, 257, 7481, 2018, 12467, 2018, 13151, 525, 815, 2407, 291, 1112, 14277, 24175, 764, 525, 31116, 2018, 12260, 1963, 815, 2407, 291, 1112, 14277, 684, 6674, 1963, 257, 6540, 1038, 7682, 1826, 14116, 5090, 19613, 264, 2652, 25373, 19613, 454, 1038, 7682, 1826, 4433, 25458, 525, 264, 2652, 536, 944, 610, 13151, 525, 2652, 834, 5016, 1038, 2706, 14061, 1029, 8181, 9191, 1211, 8595, 267, 2012, 267, 12260, 1963, 2020, 1038, 1582, 26942, 19613, 815, 7470, 19613, 454, 1038, 1582, 4732, 25458, 525, 815, 13151, 525, 692, 825, 1219, 6449, 1598, 9191, 1345, 264, 9847, 1193, 912, 1038, 8173, 1038, 16849, 2489, 9623, 827, 519, 31950, 9222, 454, 1038, 29185, 1038, 2706, 23919, 815, 2706, 14061, 1029, 1598, 1029, 4590, 1038, 4087, 23919, 815, 1582, 26942, 19613, 14857, 1598, 9191, 2020, 1038, 952, 1582, 4732, 25458, 525, 2652, 834, 13426, 2018, 1193, 318, 754, 815, 834, 4840, 1038, 8640, 1582, 4732, 25458, 525, 912, 2018, 1193, 318, 754, 815, 834, 281, 13151, 525, 4840, 1038, 3116, 912, 2018, 1193, 318, 754, 815, 834, 281, 5821, 5016, 1038, 2132, 535, 257, 346, 27273, 23919, 348, 2715, 331, 6327, 23919, 2410, 1598, 318, 754, 348, 5016, 454, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1820, 2891, 27771, 3568, 1152, 1843, 8847, 267, 1100, 6198, 3009, 593, 922, 1378, 5602, 0, 5814, 1770, 11687, 454, 5228, 11788, 17653, 1807, 1104, 11788, 692, 5035, 11788, 17653, 1807, 14818, 19111, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 5727, 307, 3949, 585, 2387, 28269, 17653, 1807, 18258, 319, 27969, 692, 825, 1219, 1449, 318, 529, 318, 22764, 318, 18905, 4311, 2187, 1038, 5727, 3674, 1614, 513, 6305, 286, 12163 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 19370, 476, 1556, 282, 4855, 4102, 1587, 538, 513, 7470, 780, 5976, 1930, 2891, 2889, 12378, 1556, 17902, 2580, 834, 337, 8442, 607, 538, 17572, 912, 453, 6050, 815, 538, 17572, 18667, 14061, 20889, 19629, 333, 5602, 453, 23437, 3515, 15631, 272, 6540, 28186, 815, 20886, 842, 4433, 264, 585, 521, 538, 1899, 21858, 3890, 316, 585, 1899, 538, 3515, 6540, 10946, 3065, 815, 1775, 815, 795, 815, 1535, 815, 586, 815, 476, 271, 454, 258, 1817, 815, 9825, 815, 678, 10972, 698, 815, 561, 10972, 698, 815, 476, 271, 454, 2889, 323, 815, 476, 272, 454, 1817, 815, 9825, 815, 678, 10972, 698, 815, 561, 10972, 698, 815, 8771, 692, 258, 295, 528, 714, 7267, 2472, 454, 1721, 1775, 538, 2039, 12759, 14116, 5090, 15892, 22610, 795, 538, 2039, 12759, 14116, 5090, 264, 910, 476, 274, 2187, 453, 22610, 737, 538, 2039, 263, 275, 2187, 4848, 453, 2889, 323, 2608, 284, 7470, 5157, 6012, 329, 266, 330, 2639, 4848, 14851, 5021, 2999, 605, 323, 912, 15235, 453, 10946, 3065, 815, 605, 323, 454, 15235, 453, 343, 815, 795, 910, 737, 454, 15235, 453, 344, 815, 1775, 454, 15235, 453, 1817, 815, 6936, 454, 453, 453, 2889, 323, 815, 476, 272, 692, 258, 309, 1068, 673, 2472, 454, 1721, 1775, 538, 2039, 12759, 14116, 5090, 264, 910, 476, 274, 2187, 22610, 795, 538, 2039, 12759, 14116, 5090, 15892, 453, 22610, 737, 538, 2039, 263, 275, 2187, 4848, 453, 2889, 323, 2608, 284, 7470, 5157, 266, 330, 6012, 329, 2639, 4848, 14851, 5021, 2999, 605, 323, 912, 15235, 453, 10946, 3065, 815, 605, 323, 454, 15235, 453, 343, 815, 1775, 454, 15235, 453, 344, 815, 795, 454, 15235, 453, 3200, 815, 6936, 454, 15235, 453, 1817, 815, 8771, 454, 453, 453, 2889, 323, 815, 476, 272, 692, 258, 13312, 21192, 15385, 1318, 2072, 454, 1721, 1775, 538, 2039, 12759, 14116, 5090, 264, 910, 476, 274, 2187, 22610, 795, 538, 2039, 12759, 14116, 5090, 264, 910, 476, 274, 2187, 453, 22610, 737, 538, 2039, 263, 275, 2187, 4848, 453, 2889, 323, 2608, 284, 7470, 5157, 266, 330, 6012, 329, 266, 330, 2639, 4848, 14851, 5021, 2999, 605, 323, 912, 15235, 453, 10946, 3065, 815, 605, 323, 454, 15235, 453, 343, 815, 1775, 454, 15235, 453, 344, 815, 795, 454, 15235, 453, 6113, 328, 698, 815, 6936, 454, 15235, 453, 3200, 815, 3520, 815, 8771, 454, 453, 453, 2889, 323, 815, 476, 272, 692, 258, 13312, 21192, 15385, 2451, 2072, 454, 1721, 1775, 538, 2039, 12759, 14116, 5090, 264, 910, 476, 274, 2187, 22610, 795, 538, 2039, 263, 274, 267, 7003, 14116, 5090, 15892, 453, 22610, 737, 538, 2039, 263, 275, 2187, 4848, 453, 2889, 323, 2608, 284, 7470, 5157, 266, 330, 6012, 329, 10275, 2639, 4848, 14851, 5021, 2999, 605, 323, 912, 15235, 453, 10946, 3065, 815, 605, 323, 454, 15235, 453, 343, 815, 1775, 454, 15235, 453, 344, 815, 795, 454, 15235, 453, 671, 328, 698, 815, 6936, 454, 15235, 453, 6113, 328, 698, 815, 9825, 815, 3520, 815, 8771, 454, 453, 453, 2889, 323, 815, 476, 272, 692, 323, 3925, 815, 22373, 1817, 714, 22667, 2580, 834, 3200, 1227, 2580, 834, 10972, 6782, 958, 1318, 2072, 2580, 834, 10972, 6782, 958, 2451, 2072, 257, 6540, 604, 3520, 912, 453, 12248, 815, 476, 271, 454, 19197, 9825, 912, 453, 12248, 815, 476, 272, 454, 19197, 678, 10972, 698, 912, 453, 12248, 815, 476, 273, 454, 19197, 561, 10972, 698, 912, 453, 12248, 815, 476, 274, 692, 2745, 2891, 16655, 3065, 1587, 540, 519, 7470, 568, 281, 4939, 323, 257, 4939, 5021, 994, 2745, 2891, 291, 3925, 281, 4939, 338, 257, 4939, 4287, 314, 12248, 7481, 2745, 2891, 10870, 24002, 281, 630, 260, 323, 267, 260, 323, 17983, 4939, 630, 343, 267, 586, 4917, 0, 20135, 815, 476, 271, 454, 320, 815, 476, 274, 454, 321, 815, 476, 276, 692, 6112, 513, 2999, 476, 1911, 271, 912, 14851, 536, 2999, 476, 1911, 271, 912, 453, 453, 20135, 6834, 513, 1341, 536, 454, 453, 453, 320, 6834, 476, 274, 454, 453, 453, 321, 6834, 476, 276, 454, 453, 19197, 513, 2999, 476, 1911, 271, 912, 453, 453, 20135, 6834, 513, 454, 0, 1477, 5814, 4351, 5897, 3698, 3635, 5334, 677, 4433, 677, 267, 1024, 284, 12690, 20179, 8029, 825, 5727, 305, 684, 930, 4255, 593, 519, 18570, 1599, 267, 4990, 18851, 1477, 825, 585, 562, 538, 1496, 271, 267, 476, 272, 267, 476, 1911, 267, 476, 1911, 271, 267, 476, 1911, 876, 13912, 21506, 1038, 513, 815, 1496, 2102, 3890, 585, 9041, 538, 2039, 3799, 13580, 1477, 1038, 536, 815, 513, 11468, 15947, 1038, 1948, 538, 268, 2897, 12204, 2132, 7183, 267, 824, 12204, 2132, 15044, 5044, 1477, 1038, 524, 815, 4990, 6357, 3418, 1038, 952, 524, 568, 7183, 281, 524, 815, 536, 1477, 1038, 7682, 4433, 9285, 5416, 264, 2652, 1592, 6262, 17903, 1363, 1477, 1363, 0, 18257, 1477, 2304, 5044, 2861, 1592, 6388, 609, 744, 263, 272, 266, 2381, 346, 328, 19885, 25829, 16585, 993, 677, 1242, 9337, 942, 269, 5897, 1607, 4881, 942, 568, 6913, 676, 1350, 5224, 1927, 1079, 26275, 1805, 2931, 267, 1477, 21406, 4395, 543, 1394, 267, 865, 602, 789, 616, 1394, 547, 1394, 269, 5897, 2005, 2114, 616, 23799, 30744, 1256, 1063, 4395, 543, 1394, 8164, 835, 568, 811, 982, 1477, 22764, 2053, 519, 2450, 540, 519, 824, 23228, 18257, 5897, 5228, 5044, 23637, 1104, 26275, 1805, 871, 5897, 5228, 3490, 1104, 12476, 8266, 5897, 5035, 32680, 26161, 291, 3225, 324, 16360, 848, 8266, 8029, 825, 1219, 6449, 8181, 9191, 1345, 267, 12055, 762, 17342, 316, 8029, 1038, 1582, 11519, 30976, 1125, 14052, 1038, 1582, 14491, 318, 718, 263, 3438, 762, 3418, 1363, 1477, 825, 1219, 9041, 30976, 1125, 4311, 8029, 1038, 1582, 8807, 3224, 815, 26275, 1805, 871, 14052, 1038, 1582, 269, 3724, 815, 26275, 1805, 871, 14052, 24541, 825, 1219, 1205, 4311, 267, 1775, 8029, 1038, 952, 1775, 2999, 1582, 8807, 3224, 25915, 28399, 2018, 2132, 1582, 8807, 3224, 10947, 4311, 8807, 3224, 25915, 3890, 268, 328, 268, 272, 3418, 1038, 3116, 6769, 2018, 2132, 1582, 269, 3724, 10947, 9217, 268, 1345, 8807, 3224, 25915, 3890, 3418, 24541, 825, 1219, 1305, 4311, 267, 1775, 267, 1535, 8029, 1038, 952, 1775, 2999, 1582, 8807, 3224, 25915, 28399, 2018, 2132, 1582, 8807, 3224, 15630, 4311, 8807, 3224, 25915, 3890, 268, 328, 268, 272, 267, 1535, 3418, 1038, 3116, 6769, 2018, 2132, 1582, 269, 3724, 15630, 9217, 268, 1345, 8807, 3224, 25915, 19572, 1535, 3418, 24541, 825, 1219, 1039, 4311, 267, 1775, 267, 1535, 8029, 1038, 952, 1775, 2999, 1582, 8807, 3224, 25915, 28399, 2018, 1582, 8807, 3224, 14491, 4311, 8807, 3224, 25915, 3890, 268, 328, 267, 1535, 3418, 1038, 3116, 6769, 2018, 1582, 269, 3724, 14491, 9217, 268, 1345, 8807, 3224, 25915, 19572, 1535, 3418, 1038, 1582, 11519, 25270, 31476, 825, 1219, 4894, 4311, 267, 1775, 8029, 1038, 952, 1775, 2999, 1582, 8807, 3224, 25915, 28399, 2018, 1535, 815, 1582, 8807, 3224, 31927, 4311, 8807, 3224, 25915, 3890, 268, 328, 268, 272, 3418, 1038, 3116, 6769, 2018, 1535, 815, 1582, 269, 3724, 31927, 9217, 268, 1345, 8807, 3224, 25915, 3890, 3418, 1038, 1582, 11519, 25270, 14052, 1038, 2132, 1535, 5897, 825, 1219, 9041, 25270, 4311, 8029, 1038, 562, 815, 1582, 25915, 14052, 1038, 4571, 815, 562, 2260, 273, 1477, 1038, 952, 476, 274, 265, 1345, 8807, 3224, 25915, 3890, 2999, 1582, 269, 3724, 25915, 3890, 610, 476, 274, 265, 1345, 269, 3724, 25915, 3890, 2999, 1582, 8807, 3224, 25915, 28399, 2018, 535, 815, 26275, 1805, 871, 14052, 2018, 585, 1775, 538, 2039, 9852, 573, 8029, 3546, 535, 14491, 9217, 267, 1582, 10947, 9852, 573, 25829, 268, 272, 17903, 2018, 536, 815, 26275, 1805, 871, 14052, 2018, 585, 1775, 538, 2039, 3799, 2173, 573, 8029, 3546, 536, 14491, 9217, 267, 1582, 10947, 9852, 573, 266, 328, 4297, 21506, 2018, 1582, 8807, 3224, 815, 535, 1477, 2018, 1582, 269, 3724, 815, 536, 5897, 825, 1219, 2312, 4311, 8029, 1038, 1582, 8807, 3224, 269, 27234, 14052, 1038, 1582, 269, 3724, 269, 27234, 31476, 825, 1219, 2450, 4311, 8029, 1038, 2132, 1582, 8807, 3224, 25915, 3890, 1341, 1582, 269, 3724, 25915, 14052, 672, 24653, 0, 5035, 8827, 912, 825, 1219, 19758, 10628, 24718, 4311, 267, 590, 267, 476, 570, 2187, 1038, 521, 8266, 284, 11713, 1038, 512, 8266, 815, 11713, 1038, 585, 1130, 538, 590, 912, 2018, 952, 263, 1998, 2652, 834, 258, 257, 2187, 3546, 952, 12759, 4433, 8266, 264, 11203, 271, 2187, 7386, 521, 8266, 21014, 4590, 2018, 3116, 912, 3546, 521, 8266, 6910, 263, 1998, 994, 1038, 1820, 4433, 8266, 994, 1038, 585, 1130, 538, 570, 912, 2018, 952, 263, 1998, 2652, 834, 258, 257, 2187, 3546, 952, 12759, 6025, 8266, 264, 11203, 271, 2187, 7386, 512, 8266, 21014, 4590, 2018, 3116, 912, 3546, 512, 8266, 6910, 263, 1998, 994, 1038, 1820, 6025, 8266, 994, 1038, 952, 12759, 4433, 8266, 264, 11203, 7003, 6025, 8266, 15892, 2018, 2132, 8771, 454, 1038, 585, 1775, 538, 2039, 12759, 4433, 8266, 15892, 2018, 952, 4433, 8266, 5157, 316, 11203, 512, 8266, 5157, 316, 2187, 3546, 2132, 8771, 454, 1038, 2132, 6936, 22562, 2745, 263, 11405, 14061, 10587, 10628, 24718, 2891, 344, 258, 325, 334, 1012, 325, 2580, 834, 344, 258, 325, 258, 334, 1012, 325, 257, 4297, 0, 1998, 284, 3488, 272, 12887, 273, 12887, 274, 12887, 275, 12887, 276, 12887, 277, 5073, 2745, 263, 1998, 994, 8161, 284, 1998, 28827, 263, 276, 994, 2745, 2891, 8161, 540, 476, 276, 568, 24333, 8161, 994, 0, 12163, 9573, 9610, 275, 270, 9573, 6321, 274, 273, 910, 19750, 454, 8620, 513, 2241, 6300, 9498, 454, 12163, 258, 21635, 454, 291, 3041, 4596, 7419, 307, 318, 8025, 305, 2464, 295, 5357, 291, 815, 476, 1911, 476, 1948, 1269, 1911, 454, 291, 3041, 4596, 7419, 307, 318, 305, 12442, 815, 1547, 272, 476, 1948, 476, 1015, 260, 476, 7531, 3698, 1292, 10031, 825, 1820, 2891, 8702, 547, 6300, 7762, 267, 13071, 5173, 562, 8631, 5602, 825, 1297, 15058, 318, 14403, 815, 1205, 318, 20777, 318, 842, 4590, 825, 6221, 7272, 4631, 815, 11713, 825, 585, 1775, 538, 2039, 28840, 15058, 318, 14403, 2187, 1038, 3902, 815, 1205, 318, 20777, 318, 15615, 4590, 1038, 6221, 7272, 4631, 6910, 263, 23748, 994, 825, 2698, 318, 23748, 815, 2040, 263, 14403, 7272, 4631, 994, 825, 952, 2698, 318, 23748, 13843, 20591, 4596, 7419, 307, 318, 8025, 305, 2464, 295, 5357, 291, 912, 1038, 10958, 815, 2698, 318, 23748, 2608, 20591, 4596, 7419, 307, 318, 305, 12442, 454, 1038, 4159, 318, 23748, 815, 2698, 318, 23748, 910, 10958, 454, 825, 3116, 912, 1038, 4159, 318, 23748, 815, 2698, 318, 23748, 692, 825, 1820, 2891, 13707, 3902, 585, 2715, 271, 348, 3688, 568, 20270, 272, 15545, 273, 325, 348, 2668, 8971, 28840, 15058, 318, 14403, 267, 4159, 318, 23748, 264, 9239, 3698, 1205, 318, 20777, 318, 842, 10031, 825, 4570, 17750, 815, 8771, 454, 825, 1247, 711, 4570, 17750, 912, 1038, 2119, 912, 2018, 5697, 20311, 815, 703, 9272, 3488, 10831, 540, 3688, 281, 29125, 1038, 4849, 28759, 912, 2018, 1820, 2891, 6546, 568, 711, 513, 1297, 267, 7490, 3442, 513, 1297, 3152, 982, 4642, 5602, 2018, 3136, 692, 1038, 952, 5697, 20311, 10922, 476, 271, 912, 2018, 1820, 2891, 8923, 3442, 513, 1297, 3152, 982, 4642, 5602, 2018, 3136, 454, 1038, 3116, 912, 2018, 2132, 5697, 20311, 7531, 3698, 1205, 318, 20777, 318, 15615, 10031, 825, 4570, 17750, 815, 8771, 454, 825, 1247, 711, 4570, 17750, 912, 1038, 2119, 912, 2018, 5697, 20311, 815, 10581, 9272, 3488, 25820, 540, 6221, 281, 1269, 29125, 1038, 4849, 28759, 912, 2018, 1820, 2891, 6546, 568, 711, 513, 1297, 267, 7490, 3442, 513, 1297, 3152, 982, 4642, 5602, 2018, 3136, 692, 1038, 952, 5697, 20311, 10922, 476, 271, 912, 2018, 1820, 2891, 8923, 3442, 513, 1297, 3152, 982, 4642, 5602, 2018, 3136, 454, 1038, 3116, 912, 2018, 2132, 5697, 20311, 7531, 10852, 4590, 0, 18851, 9573, 9610, 275, 270, 9573, 6321, 274, 273, 19750, 910, 14691, 4654, 27969, 454, 5228, 533, 2350, 318, 5881, 3052, 3726, 541, 1104, 2871, 10560, 7531, 299, 8780, 318, 294, 308, 3951, 12678, 815, 834, 299, 4840, 4696, 291, 318, 294, 308, 3951, 2752, 815, 834, 288, 4840, 12702, 3951, 815, 834, 304, 4840, 300, 2894, 308, 815, 5727, 24464, 340, 912, 24001, 910, 5903, 2871, 527, 1513, 454, 24001, 910, 5410, 2871, 527, 1513, 454, 24001, 910, 2372, 527, 1982, 3269, 2668 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 540, 519, 28599, 7732, 5948, 267, 513, 631, 5474, 10628, 5890, 334, 18740, 693, 713, 1296, 25674, 14924, 7870, 10554, 538, 8738, 28002, 267, 966, 307, 693, 16422, 21622, 5441, 779, 674, 2231, 728, 561, 1735, 613, 563, 763, 1930, 3898, 609, 3946, 6823, 2238, 267, 2875, 3785, 543, 2199, 631, 6033, 1922, 13083, 5828, 856, 547, 581, 513, 1390, 1967, 256, 3371, 779, 930, 2923, 563, 11390, 2106, 1774, 10584, 27722, 853, 4526, 10916, 3381, 540, 606, 5140, 2875, 20536, 1788, 563, 20578, 476, 274, 291, 17002, 2220, 698, 269, 25674, 14924, 7870, 476, 1001, 275, 8258, 269, 11426, 1242, 689, 3364, 5744, 1843, 281, 5291, 2517, 4178, 269, 2251, 5744, 2593, 270, 2251, 281, 27183, 279, 1724, 454, 264, 763, 16173, 538, 1250, 9036, 5531, 338, 18660, 8286, 269, 901, 568, 513, 1966, 585, 519, 12200, 543, 5234, 945, 946, 519, 10051, 3232, 269, 898, 779, 2067, 602, 8286, 786, 18061, 909, 1317, 649, 723, 1053, 267, 15646, 1562, 267, 543, 9683, 12200, 543, 5234, 945, 946, 519, 10051, 26742, 611, 1227, 267, 2356, 1282, 513, 19060, 593, 513, 2736, 269, 4746, 267, 711, 3025, 6487, 519, 3652, 540, 519, 10051, 267, 610, 602, 621, 779, 15502, 547, 946, 519, 8670, 13195, 615, 563, 306, 1074, 609, 20798, 623, 7644, 9300, 547, 700, 7374, 5496, 16173, 6895, 630, 629, 913, 267, 4099, 1916, 5475, 20171, 513, 1454, 20501, 1129, 267, 519, 18660, 8286, 941, 4389, 269, 594, 4956, 547, 979, 2417, 543, 946, 606, 20798, 267, 623, 7644, 9300, 543, 700, 7374, 5496, 267, 543, 547, 4194, 519, 1966, 1312, 1099, 10999, 543, 2618, 10999, 563, 5141, 846, 909, 20798, 623, 7644, 9300, 547, 700, 7374, 5496, 16173, 6895, 454, 763, 12498, 1449, 7000, 602, 519, 9300, 568, 513, 3787, 20202, 3006, 543, 3085, 1406, 6952, 5163, 267, 543, 602, 519, 5048, 621, 15920, 950, 621, 4667, 5163, 1472, 16173, 540, 968, 8923, 798, 707, 8286, 892, 4769, 1406, 960, 607, 1134, 607, 519, 5048, 968, 14188, 596, 585, 3257, 782, 707, 8286, 1848, 19577, 602, 596, 798, 3006, 1205, 811, 10987, 609, 9932, 563, 5978, 10865, 5870, 540, 5696, 4490, 4011, 334, 9351, 631, 5474, 10272, 1007, 16500, 5112, 28599, 15670, 267, 4432, 20811, 543, 24138, 267, 5411, 540, 17183, 294, 549, 7174, 2593, 269, 4432, 20811, 543, 24138, 941, 2186, 2614, 547, 3802, 721, 998, 513, 2656, 8955, 2759, 614, 5850, 269, 1358, 849, 4951, 721, 930, 540, 741, 5140, 960, 269, 6764, 4809, 267, 3872, 543, 649, 3893, 513, 968, 289, 4456, 892, 20446, 2759, 856, 540, 930, 16150, 2336, 5978, 5067, 568, 3592, 1079, 1631, 543, 649, 4076, 4121, 930, 15361, 585, 14229, 1136, 538, 2635, 3536, 646, 4465, 1406, 2356, 3548, 267, 899, 3039, 19787, 543, 10365, 267, 883, 519, 1426, 646, 14560, 563, 2171, 2661, 538, 28599, 543, 2119, 543, 723, 513, 1360, 1434, 2732, 609, 607, 1454, 2199, 267, 2067, 267, 543, 5214, 1426, 607, 649, 666, 1205, 270, 3530, 867, 269, 1284, 2461, 2818, 540, 519, 2199, 2910, 8008, 267, 607, 1134, 607, 513, 1426, 9140, 18756, 543, 649, 723, 513, 4677, 269, 1284, 849, 2648, 4313, 3536, 543, 594, 4076, 3893, 513, 8467, 585, 30644, 16152, 543, 18437, 543, 1250, 7385, 585, 10217, 543, 4672, 8645, 563, 5978, 5067, 540, 1576, 14560, 5672, 543, 10381, 267, 610, 607, 646, 3081, 968, 332, 659, 5991, 19295, 3150, 5991, 22751, 1790, 770, 320, 17373, 543, 666, 3100, 547, 4584, 782, 519, 9761, 9269, 856, 540, 1022, 4478, 5388, 543, 10365, 563, 2080, 938, 938, 29202, 15361, 563, 300, 1662, 27574, 7105, 17112, 883, 5672, 543, 10381, 256, 1358, 616, 1482, 2681, 267, 711, 547, 18476, 267, 855, 4904, 609, 6775, 543, 3940, 563, 7922, 21123, 4195, 918, 1446, 610, 1975, 514, 778, 538, 3905, 1216, 267, 632, 268, 980, 267, 543, 6986, 324, 883, 513, 11641, 334, 899, 13134, 269, 5410, 547, 5839, 543, 4258, 3150, 269, 634, 10448, 2694, 616, 865, 1507, 789, 6529, 547, 519, 10381, 14036, 543, 646, 3085, 1406, 5469, 563, 4407, 538, 2407, 2070, 693, 519, 3349, 585, 9913, 1871, 267, 2322, 595, 20792, 593, 11945, 21100, 267, 610, 949, 334, 267, 28401, 267, 6952, 1575, 630, 24119, 1742, 593, 707, 3214, 7375, 264, 593, 19787, 267, 3165, 267, 3092, 269, 3776, 5067, 786, 3548, 873, 547, 1205, 547, 519, 968, 338, 879, 576, 892, 607, 646, 3081, 563, 303, 4958, 754, 547, 20057, 548, 6070, 593, 17112, 267, 8970, 267, 17436, 563, 21607, 2370, 546, 629, 540, 7423, 593, 3905, 19787, 543, 4585, 621, 14897, 563, 24246, 1164, 6775, 267, 2898, 10568, 267, 918, 2761, 610, 824, 12478, 602, 723, 3323, 547, 723, 519, 3903, 563, 24109, 16443, 4667, 547, 960, 1134, 609, 2558, 7416, 1115, 610, 824, 1360, 2241, 476, 274, 12146, 1164, 6775, 11523, 619, 563, 8196, 6679, 1187, 23691, 547, 4482, 269, 16157, 267, 1490, 626, 1782, 630, 20791, 652, 2186, 264, 521, 731, 1149, 616, 30644, 543, 3995, 4486, 267, 855, 849, 11212, 1434, 585, 3395, 3425, 1813, 547, 741, 7513, 267, 26102, 476, 274, 338, 543, 824, 5567, 269, 1284, 946, 3751, 30546, 968, 29589, 3640, 1490, 626, 1782, 892, 538, 29106, 13813, 543, 645, 5183, 1863, 23691, 563, 11754, 1744, 1042, 4765, 5453, 520, 267, 610, 715, 8898, 5453, 520, 10945, 1835, 14217, 909, 547, 29877, 18506, 269, 2107, 2322, 513, 6749, 540, 9932, 593, 1142, 835, 563, 292, 520, 19787, 543, 19997, 609, 7772, 693, 519, 3349, 547, 2203, 1434, 2623, 256, 0, 268, 476, 272, 269, 272, 630, 23719, 7953, 2443, 540, 1268, 264, 5609, 22815, 19063, 282, 630, 1765, 540, 3662, 264, 5609, 1273, 553, 5415, 1383, 5220, 272, 269, 273, 630, 20142, 6064, 264, 630, 23873, 2296, 270, 532, 331, 15530, 12766, 17505, 4815, 264, 1496, 322, 3326, 13228, 658, 11721, 13399, 316, 630, 335, 1042, 545, 894, 9706, 1042, 545, 520, 16343, 264, 547, 581, 1850, 1652, 1609, 541, 265, 18664, 571, 11155, 610, 1496, 322, 3326, 13228, 658, 11721, 13399, 316, 635, 334, 19448, 7750, 320, 454, 268, 1924, 1946, 789, 991, 547, 2759, 1524, 593, 519, 1297, 540, 5624, 594, 666, 946, 267, 538, 1931, 547, 1683, 513, 2034, 5544, 585, 519, 1850, 1652, 267, 594, 4312, 1100, 2856, 563, 268, 769, 476, 1960, 271, 267, 12996, 781, 21667, 26689, 329, 31974, 6390, 1500, 519, 1101, 3811, 15385, 676, 513, 1850, 1652, 1268, 563, 268, 2368, 711, 27940, 1922, 13399, 7068, 267, 899, 519, 1850, 1652, 267, 3276, 8089, 1309, 1815, 559, 2103, 267, 616, 849, 27738, 563, 8340, 856, 875, 547, 2328, 5022, 538, 5053, 267, 1519, 5796, 593, 26250, 902, 267, 11768, 267, 30804, 2483, 300, 1601, 657, 546, 262, 19324, 15153, 571, 568, 519, 2012, 540, 519, 7128, 3196, 540, 519, 18280, 534, 14628, 3148, 269, 898, 814, 513, 2647, 2039, 540, 9021, 855, 519, 15050, 807, 6406, 543, 22094, 17144, 715, 659, 1308, 849, 7500, 538, 18280, 8205, 269, 0, 7072, 4633, 1806, 910, 1207, 14794, 267, 4985, 4633, 1806, 4367, 4633, 1806, 666, 2285, 596, 606, 5813, 883, 875, 4367, 18531, 1058, 581, 2854, 267, 543, 875, 1857, 6340, 666, 581, 563, 8993, 999, 4633, 910, 4214, 1806, 267, 6201, 543, 7422, 281, 519, 5515, 607, 2081, 540, 7487, 834, 1492, 5318, 7535, 540, 2474, 585, 11913, 15022, 3512, 566, 814, 19500, 899, 513, 5444, 7535, 585, 519, 17720, 9345, 563, 1432, 3732, 7097, 16475, 22692, 16008, 7790, 267, 1548, 568, 513, 3732, 900, 576, 324, 781, 7097, 585, 606, 10026, 1153, 22692, 286, 2626, 621, 256, 875, 798, 596, 2285, 513, 10950, 4633, 547, 519, 4378, 24461, 8783, 16823, 286, 563, 275, 4097, 1535, 476, 22446, 5788, 476, 7906, 737, 289, 5788, 533, 978, 267, 19573, 566, 16594, 25201, 454, 14096, 276, 1535, 476, 13679, 271, 5788, 476, 7597, 737, 289, 5788, 533, 978, 267, 2155, 775, 618, 12833, 2787, 22276, 12726, 14594, 454, 8340, 3501, 4633, 256, 910, 568, 701, 16696, 1753, 267, 1403, 1810, 685, 2328, 30823, 8956, 4633, 267, 16806, 5428, 1745, 5749, 685, 25442, 282, 1224, 3391, 1451, 547, 1348, 4586, 1692, 2328, 16168, 4633, 22692, 910, 2073, 1215, 2328, 16168, 22692, 4633, 282, 2328, 1434, 22692, 4633, 282, 2328, 22692, 4633, 282, 2328, 22692, 4633, 1164, 1153, 563, 8702, 2093, 22692, 4633, 1923, 552, 6011, 267, 1411, 1547, 8808, 1153, 22692, 4633, 2093, 269, 2093, 22692, 4633, 269, 15980, 1909, 10584, 22692, 16008, 8956, 269, 0, 763, 14069, 13748, 597, 1843, 568, 513, 5691, 15682, 1843, 5833, 676, 10912, 519, 30014, 1505, 630, 528, 676, 10912, 519, 5410, 29919, 17445, 800, 1505, 952, 596, 616, 2870, 513, 1007, 5691, 15682, 1916, 763, 14069, 13748, 597, 1843, 7028, 519, 1739, 3601, 269, 1411, 666, 1205, 543, 1305, 2418, 585, 782, 540, 891, 3601, 4849, 519, 10426, 5320, 3959, 630, 1721, 799, 596, 666, 1305, 267, 855, 3112, 1205, 267, 519, 1871, 1916, 3674, 519, 2012, 540, 519, 5691, 15682, 563, 3674, 519, 2407, 2168, 2619, 547, 519, 15682, 2404, 609, 519, 5691, 15682, 563, 3674, 519, 2012, 540, 519, 7746, 4881, 9786, 10378, 14069, 18218, 12814, 476, 1220, 271, 267, 799, 568, 519, 1239, 2707, 585, 519, 5691, 15682, 563, 3674, 519, 9949, 6538, 1031, 538, 14511, 1996, 713, 5691, 15682, 563, 3674, 519, 3593, 21189, 602, 568, 1031, 547, 1921, 547, 519, 1239, 2707, 563, 3674, 519, 3593, 10957, 602, 568, 1031, 547, 1921, 547, 519, 1239, 2707, 563, 3674, 519, 21189, 17452, 1505, 602, 568, 1031, 609, 519, 5691, 15682, 267, 971, 607, 14069, 24956, 1709, 610, 8837, 21091, 24956, 1709, 269, 1411, 666, 14574, 835, 540, 891, 2418, 563, 347, 272, 1475, 21415, 18218, 21189, 2008, 347, 273, 1475, 19859, 7809, 8837, 10378, 20822, 21189, 2008, 347, 279, 1475, 20360, 3298, 21091, 24956, 1709, 2008, 25519, 1081, 1403, 596, 616, 4657, 519, 4276, 5468, 630, 577, 4474, 7746, 2012, 267, 6538, 2012, 267, 3593, 2012, 267, 10957, 610, 519, 3354, 7154, 1070, 621, 568, 5227, 602, 519, 5691, 15682, 1569, 581, 771, 9994, 539, 269, 634, 5691, 15682, 666, 581, 16981, 676, 4259, 519, 14190, 14503, 4711, 3959, 547, 476, 271, 563, 17809, 1938, 519, 1826, 540, 1569, 4847, 998, 713, 5691, 15682, 269, 1411, 666, 14574, 835, 630, 528, 513, 4999, 264, 540, 891, 2418, 563, 11854, 322, 5809, 2436, 9786, 10378, 5769, 6176, 7896, 630, 2862, 306, 264, 568, 4847, 547, 6023, 519, 20822, 10957, 15222, 1436, 563, 17809, 1938, 519, 2407, 2619, 547, 519, 590, 336, 5894, 777, 328, 6155, 961, 563, 6701, 3593, 20452, 5468, 813, 2105, 547, 519, 744, 4041, 24766, 4276, 5569, 563, 763, 14069, 13748, 597, 1843, 849, 7028, 713, 1505, 912, 3674, 519, 4015, 540, 5691, 2012, 544, 1952, 902, 585, 519, 5691, 15682, 563, 1607, 1383, 20964, 513, 4276, 547, 519, 1101, 5680, 3135, 593, 606, 594, 3041, 7746, 269, 634, 1101, 5691, 15682, 1843, 630, 8161, 476, 271, 264, 593, 519, 4448, 5680, 3135, 568, 15600, 269, 634, 8447, 26073, 3959, 540, 519, 1843, 568, 1305, 547, 595, 24097, 6839, 335, 889, 563, 13729, 5136, 329, 311, 7876, 815, 8073, 30606, 2891, 21415, 13748, 597, 2529, 10258, 13748, 597, 6944, 1503, 8442, 5136, 329, 311, 7876, 269, 21010, 834, 2862, 7704, 13996, 2580, 834, 272, 257, 5590, 5136, 329, 13748, 15077, 815, 5136, 329, 311, 7876, 2529, 10258, 13748, 15077, 5590, 5136, 329, 13748, 597, 815, 5136, 329, 13748, 15077, 20193, 655, 263, 271, 264, 5136, 329, 13748, 597, 269, 16498, 26073, 815, 834, 290, 24097, 257, 5136, 329, 13748, 597, 269, 16498, 26073, 815, 5136, 329, 13748, 597, 269, 16498, 26073, 1299, 834, 6839, 335, 889, 257, 3267, 5136, 329, 311, 7876, 6185, 529, 6618, 0, 1103, 476, 13923, 278, 267, 519, 24649, 540, 5800, 334, 267, 7977, 267, 9315, 1400, 21293, 632, 22757, 267, 10288, 519, 26749, 538, 519, 5783, 540, 853, 269, 18039, 538, 5842, 590, 1197, 3626, 547, 581, 22058, 730, 269, 901, 2838, 519, 26749, 547, 581, 24905, 1194, 269, 16270, 771, 553, 12273, 267, 513, 6939, 729, 4362, 609, 519, 4608, 528, 32152, 1560, 540, 853, 269, 5845, 1580, 320, 3330, 267, 1141, 621, 1185, 9788, 585, 513, 8536, 1296, 563, 1805, 269, 5845, 1580, 320, 729, 1767, 547, 581, 8052, 1117, 538, 513, 4190, 1094, 653, 10921, 23469, 10571, 543, 519, 3532, 20416, 540, 24712, 267, 1419, 2404, 609, 519, 4703, 540, 25598, 267, 729, 4810, 676, 782, 1346, 1459, 563, 16920, 3737, 547, 519, 1560, 676, 513, 6094, 10260 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2704, 770, 1515, 294, 1315, 11300, 12780, 3776, 15769, 723, 5697, 930, 521, 11170, 1782, 12504, 2257, 3785, 538, 11812, 540, 14400, 22069, 560, 823, 593, 4873, 476, 2641, 269, 11153, 616, 849, 3617, 585, 3214, 540, 782, 6502, 630, 18141, 1346, 8186, 8325, 936, 519, 4832, 2736, 32656, 1656, 1862, 712, 2828, 693, 10076, 4469, 1601, 12286, 834, 1428, 12085, 1411, 31598, 9894, 333, 1405, 5700, 6168, 519, 14400, 22069, 560, 823, 2437, 1519, 713, 1249, 912, 10454, 3047, 568, 693, 922, 9663, 1492, 560, 689, 519, 3141, 1282, 519, 14400, 22069, 560, 823, 7868, 14246, 540, 8999, 1067, 2501, 14311, 689, 519, 28550, 540, 519, 3047, 781, 7852, 267, 543, 711, 689, 875, 2673, 621, 568, 547, 519, 3141, 693, 1022, 2016, 942, 4799, 13425, 856, 519, 2233, 1805, 6621, 5816, 585, 10311, 593, 707, 5172, 3785, 543, 1265, 1007, 3785, 538, 938, 5741, 4855, 518, 2336, 763, 2233, 1805, 6621, 12243, 454, 763, 715, 23701, 6129, 6997, 454, 20055, 3744, 3589, 3859, 15420, 609, 8331, 781, 1239, 267, 2592, 543, 2645, 269, 2107, 1711, 707, 1378, 1382, 1788, 1210, 891, 2645, 543, 715, 23701, 781, 29433, 7044, 563, 300, 5237, 540, 3163, 454, 27852, 12187, 13772, 4032, 543, 3950, 5256, 11721, 24580, 3595, 13219, 538, 707, 1394, 13452, 585, 476, 1428, 3764, 513, 3781, 543, 3565, 547, 1382, 593, 519, 13664, 3892, 540, 891, 5172, 4832, 5503, 7786, 563, 291, 1046, 21708, 631, 2678, 454, 2026, 4166, 607, 519, 3141, 5036, 267, 519, 4832, 3781, 6607, 3091, 606, 11212, 1114, 267, 1016, 331, 830, 1995, 269, 634, 14730, 21708, 631, 2678, 630, 19989, 585, 1775, 4942, 2158, 264, 2636, 12504, 3744, 547, 3565, 547, 513, 2518, 4786, 540, 30148, 1769, 5533, 563, 5970, 596, 2938, 513, 21297, 8127, 593, 519, 11824, 2943, 286, 7797, 621, 547, 808, 11481, 31296, 910, 513, 1857, 6538, 25643, 5836, 2175, 269, 1452, 3173, 616, 2523, 5461, 538, 21297, 8127, 11067, 909, 267, 855, 789, 849, 3950, 2699, 29500, 267, 2695, 573, 543, 25850, 18843, 902, 267, 543, 824, 10832, 540, 5836, 1072, 563, 3240, 25332, 969, 2218, 267, 513, 12504, 2257, 3760, 267, 568, 5356, 1788, 5411, 1269, 273, 267, 1822, 538, 1863, 1239, 2533, 256, 4855, 856, 811, 563, 23086, 519, 2233, 1805, 6621, 12243, 454, 10387, 841, 281, 18078, 17106, 11333, 3820, 19534, 281, 5291, 2517, 2675, 626, 6621, 2593, 0, 6635, 8157, 10979, 631, 3881, 18748, 338, 16661, 18963, 2353, 3683, 3345, 9533, 454, 763, 8325, 7771, 538, 11848, 4262, 4672, 568, 7133, 711, 1152, 22260, 538, 23529, 855, 849, 4365, 3270, 782, 936, 519, 3345, 9533, 563, 288, 1353, 2063, 3018, 2982, 602, 4908, 540, 4832, 968, 4565, 12177, 892, 2621, 267, 5827, 540, 6721, 3665, 543, 24715, 656, 4365, 267, 814, 2799, 2094, 519, 476, 2735, 271, 338, 269, 901, 814, 8507, 538, 811, 3636, 2011, 936, 23529, 543, 519, 2837, 3017, 1063, 519, 11848, 543, 22465, 9533, 814, 9141, 2621, 899, 476, 1001, 273, 779, 2594, 6632, 4832, 538, 519, 5177, 563, 2690, 513, 4514, 4685, 281, 6115, 5403, 267, 26851, 267, 7186, 2622, 5240, 454, 2690, 811, 2916, 1689, 543, 2973, 1648, 3377, 267, 596, 666, 1246, 8693, 715, 1410, 639, 593, 12108, 543, 9365, 267, 543, 1129, 909, 585, 3232, 12182, 5240, 563, 24168, 631, 20846, 9338, 12569, 22244, 17395, 454, 8867, 8898, 26671, 4762, 3305, 570, 2316, 303, 2048, 8649, 870, 338, 547, 513, 670, 4007, 18734, 540, 5295, 689, 4658, 547, 8262, 6355, 20371, 23219, 1066, 20873, 9116, 1234, 915, 338, 595, 8712, 585, 8693, 7827, 7797, 454, 20458, 7827, 547, 654, 16582, 16186, 540, 8376, 4211, 541, 11538, 17018, 10181, 3996, 454, 14722, 17166, 11848, 7256, 10979, 16393, 2048, 4537, 8667, 547, 16680, 8899, 685, 901, 14400, 0, 288, 3209, 1935, 547, 6850, 1723, 698, 1637, 814, 1044, 2919, 538, 799, 1166, 665, 5108, 814, 1044, 4824, 269, 901, 814, 1044, 6913, 998, 22392, 519, 1604, 538, 799, 1166, 665, 568, 6850, 17057, 1227, 4646, 7258, 5688, 5314, 540, 19654, 4393, 269, 901, 3209, 1505, 936, 3699, 930, 540, 519, 2757, 7687, 540, 6671, 6850, 1723, 698, 1637, 2126, 971, 607, 282, 19650, 2627, 535, 537, 1782, 267, 22536, 3151, 267, 543, 1780, 10474, 269, 3245, 713, 1646, 267, 1166, 665, 3812, 814, 3254, 547, 581, 811, 14388, 547, 19852, 2188, 267, 1106, 3677, 12550, 13355, 27960, 267, 543, 723, 5488, 11175, 3928, 269, 901, 814, 8507, 538, 4824, 8764, 656, 8851, 3928, 267, 10156, 11175, 2053, 267, 543, 2706, 12641, 541, 1881, 2706, 333, 520, 656, 12531, 269, 4033, 5383, 1331, 513, 5786, 538, 3937, 11640, 543, 4389, 5826, 543, 1379, 4616, 3790, 609, 7222, 1764, 593, 3854, 543, 5665, 3790, 269, 898, 568, 11943, 602, 6850, 1723, 698, 1637, 2126, 998, 5688, 2213, 546, 3151, 568, 9120, 547, 2757, 6850, 1723, 698, 1637, 269, 910, 634, 6881, 568, 540, 1719, 547, 1346, 3168, 585, 8925, 547, 3114, 2126, 630, 1723, 698, 1637, 264, 663, 1507, 11640, 1949, 269, 910, 634, 6881, 12857, 513, 3209, 1505, 540, 6388, 540, 5082, 549, 1723, 698, 1637, 543, 922, 2640, 563, 301, 11065, 269, 634, 1344, 8659, 538, 713, 7127, 568, 3177, 676, 519, 1657, 18261, 267, 543, 1281, 711, 8209, 2992, 519, 5784, 543, 8369, 540, 519, 17404, 0, 31819, 1411, 654, 5896, 547, 5700, 6168, 23081, 14777, 4826, 269, 23081, 14777, 1216, 568, 1631, 2808, 3592, 513, 4235, 540, 519, 10971, 267, 799, 14767, 267, 952, 711, 23629, 1275, 267, 1287, 7067, 689, 782, 3676, 267, 1519, 2860, 269, 1772, 713, 3020, 267, 543, 1018, 568, 17310, 1216, 2731, 5827, 540, 888, 1432, 568, 23081, 14777, 4826, 888, 310, 7364, 568, 6158, 267, 602, 17310, 1216, 568, 519, 968, 331, 18612, 1439, 657, 11279, 540, 1762, 17310, 13869, 5613, 269, 1306, 519, 4829, 18009, 839, 267, 12772, 540, 3282, 9658, 1540, 676, 2941, 571, 2887, 883, 519, 1439, 657, 11279, 267, 543, 519, 5277, 7140, 883, 17310, 5144, 267, 1287, 713, 5144, 5394, 839, 543, 2182, 839, 269, 9232, 898, 568, 1419, 11821, 609, 17310, 5144, 267, 799, 568, 3812, 689, 519, 17870, 540, 18009, 2989, 17310, 13869, 4054, 630, 3697, 17310, 3282, 1070, 1247, 1216, 666, 1152, 581, 1336, 538, 3039, 10808, 563, 2005, 568, 24253, 543, 16919, 513, 3787, 6653, 609, 513, 13581, 2428, 1399, 8137, 269, 23081, 14777, 1216, 3568, 3362, 7558, 1043, 11950, 543, 32690, 630, 338, 18754, 543, 11379, 1070, 621, 568, 2808, 513, 1970, 23343, 12929, 1587, 1107, 4998, 585, 4896, 3238, 538, 5026, 269, 1280, 6476, 267, 596, 666, 1491, 606, 14793, 6776, 4235, 267, 476, 1789, 16720, 540, 799, 3568, 476, 277, 269, 1839, 737, 5632, 267, 476, 272, 269, 4037, 10101, 540, 4006, 267, 476, 274, 269, 4037, 31501, 540, 11379, 543, 476, 1724, 269, 4037, 31501, 540, 9770, 269, 2755, 476, 1789, 16720, 540, 17310, 1216, 3568, 476, 276, 269, 3393, 737, 5632, 267, 476, 272, 269, 274, 10101, 540, 4006, 267, 476, 8618, 31501, 540, 11379, 543, 476, 276, 269, 3393, 31501, 540, 9770, 1107, 1447, 4006, 267, 7864, 8477, 543, 811, 11379, 543, 9770, 563, 290, 665, 14777, 4826, 23531, 912, 268, 8324, 1107, 595, 267, 645, 272, 267, 645, 273, 267, 645, 274, 630, 13048, 1070, 645, 275, 267, 645, 276, 267, 645, 277, 543, 645, 280, 3248, 268, 12550, 324, 6123, 1107, 7513, 267, 11379, 267, 9770, 267, 13101, 267, 16247, 267, 16903, 3248, 268, 10250, 2609, 1107, 4401, 267, 13058, 267, 7601, 267, 22670, 267, 31093, 3248, 268, 9600, 1107, 15459, 9761, 7408, 267, 1395, 10494, 18260, 9761, 7408, 630, 18652, 268, 280, 1070, 4874, 12584, 18260, 9761, 7408, 630, 4802, 1961, 545, 543, 15060, 268, 277, 11850, 268, 3362, 7558, 1043, 11950, 3248, 268, 620, 21747, 6775, 3248, 268, 12708, 11254, 7408, 1107, 2415, 24100, 267, 1130, 710, 267, 2119, 696, 2684, 534, 267, 4307, 2643, 23750, 710, 267, 555, 516, 517, 710, 267, 8715, 542, 710, 267, 30897, 710, 267, 682, 1075, 710, 267, 568, 1961, 1075, 710, 543, 1277, 26593, 563, 290, 665, 14777, 1216, 543, 1973, 11919, 454, 14549, 1973, 593, 11919, 543, 8032, 2609, 17735, 538, 621, 1107, 2699, 1973, 2281, 609, 513, 1507, 2179, 540, 3043, 1973, 2281, 543, 6676, 7410, 269, 898, 568, 519, 2699, 1973, 2281, 602, 2285, 519, 1973, 513, 2699, 2681, 563, 5522, 553, 2742, 568, 519, 5277, 851, 540, 519, 1973, 602, 3568, 1216, 543, 519, 6878, 17735, 538, 621, 1107, 5946, 630, 531, 321, 6058, 267, 5895, 592, 1231, 543, 27417, 514, 4094, 264, 543, 824, 7135, 269, 6168, 476, 3445, 260, 540, 519, 11919, 568, 1216, 269, 769, 16955, 6878, 1118, 909, 827, 476, 273, 268, 274, 10065, 1452, 616, 524, 725, 630, 27845, 31956, 918, 266, 300, 326, 273, 31956, 6970, 273, 266, 264, 543, 606, 687, 630, 295, 4596, 274, 1700, 267, 1849, 1700, 267, 18161, 6246, 6629, 12569, 5655, 6629, 994, 29613, 320, 602, 17310, 1216, 666, 5372, 1973, 11919, 267, 21256, 1813, 547, 922, 13666, 4577, 3601, 1282, 2622, 2782, 4083, 267, 950, 1813, 547, 519, 3668, 540, 29649, 267, 17310, 1216, 729, 29689, 12499, 1597, 3585, 547, 2550, 267, 607, 1134, 607, 1282, 519, 2475, 2112, 609, 10476, 269, 1452, 941, 6595, 3800, 267, 2094, 538, 4641, 621, 568, 6251, 538, 5888, 547, 519, 5714, 3330, 519, 2699, 4703, 269, 1656, 1317, 540, 519, 1164, 1543, 540, 7513, 543, 13101, 267, 621, 568, 9090, 711, 5078, 585, 1004, 609, 8459, 5821, 543, 4049, 17236, 563, 6546, 568, 1946, 1631, 7189, 798, 711, 4363, 1210, 713, 1505, 267, 855, 693, 602, 942, 17310, 1216, 10710, 1082, 2729, 563, 2005, 814, 15934, 3601, 454, 290, 665, 14777, 1216, 3568, 14434, 602, 2149, 2281, 689, 3441, 269, 3194, 593, 2831, 267, 6534, 547, 13802, 267, 3254, 547, 12189, 1863, 18119, 267, 799, 1287, 798, 1100, 2800, 563, 2690, 1383, 267, 14148, 593, 513, 1164, 535, 28229, 2732, 941, 5701, 609, 17310, 1216, 269, 5131, 9097, 2534, 814, 8519, 267, 865, 324, 899, 1973, 2604, 267, 27831, 1938, 267, 543, 1973, 7378, 2157, 563, 12148, 267, 971, 2090, 609, 519, 7589, 540, 1004, 723, 711, 2943, 1044, 5342, 563, 2026, 2907, 5018, 267, 519, 5888, 540, 17310, 1216, 568, 4998, 585, 1004, 945, 616, 8362, 3238, 538, 5026, 267, 607, 621, 2337, 11177, 9770, 3666, 543, 11379, 538, 519, 1560, 630, 19491, 26299, 974, 3666, 1040, 13095, 333, 752, 12671, 621, 814, 1447, 9770, 630, 1492, 1292, 23386, 602, 2501, 609, 17570, 264, 982, 538, 5841, 5026, 10425, 267, 543, 1447, 11950, 267, 865, 621, 568, 5227, 547, 4235, 17310, 1216, 711, 1282, 2866, 267, 855, 1310, 1362, 269, 9603, 547, 922, 1164, 1216, 1543, 630, 11463, 15992, 621, 844, 523, 2583, 19818, 1134, 1510, 4929, 15353, 267, 543, 693, 519, 1482, 942, 2337, 547, 693, 2547, 13148, 1118, 909, 585, 2609, 4503, 609, 17570, 563, 13900, 1186, 9156, 689, 2168, 11851, 542, 454, 26773, 2866, 666, 1291, 547, 13101, 22930, 543, 267, 607, 513, 1267, 267, 25574, 267, 13110, 7953, 6794, 267, 543, 16081, 4771, 563, 9773, 6458, 543, 13101, 267, 799, 616, 8659, 538, 1804, 9424, 267, 711, 1152, 7794, 7633, 267, 855, 849, 948, 6091, 547, 1599, 7363, 543, 9156, 5488, 269, 769, 713, 2013, 267, 13101, 6411, 607, 513, 1098, 1602, 614, 1107, 621, 2337, 547, 4483, 7513, 543, 11379, 547, 519, 6091, 563, 290, 12682, 758, 514, 1231, 616, 10399, 602, 948, 2371, 1332, 269, 898, 568, 5156, 602, 891, 7135, 3500, 1524, 10172, 543, 616, 513, 1434, 4550, 2275, 22083, 6604, 269, 1717, 267, 1382, 593, 713, 1888, 568, 1869, 13385, 563, 290, 12682, 758, 514, 1231, 1107, 513, 1362, 540, 2030, 10399, 540, 519, 476, 277, 268, 3133, 641, 584, 710, 3126, 602, 12954, 1591, 6498, 630, 1097, 339, 758, 1149, 529, 1040, 2060, 713, 2702, 540, 22270, 514, 1231, 267, 741, 1292, 3252, 538, 519, 1646, 540, 2371, 616, 2404, 1107, 585, 1383, 267, 4509, 519, 3284, 673, 9496, 5789, 626, 655, 269, 769, 1840, 267, 519, 12214, 3252, 540, 22270, 514, 1231, 1331, 14242, 540, 3560, 540, 5567, 883, 519, 1591, 267, 22629, 540, 14694, 3597, 2208, 267, 543, 23646, 6978, 10172, 563, 11045, 2176, 9025, 1072, 543, 24506, 1973, 2604, 454, 7804, 9722, 17310, 1216, 24506, 27831, 1938, 543, 8501, 538, 519, 1973, 269, 2311, 2547, 1382, 5645, 856, 593, 14148, 267, 5795, 1175, 971, 2164, 269, 1403, 596, 4483, 713, 1184, 547, 513, 1268, 267, 1287, 621 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 888, 268, 6052, 8249, 281, 24997, 543, 6348, 7304, 523, 1168, 762, 454, 268, 7025, 10495, 454, 268, 2637, 13443, 3525, 1881, 5029, 3359, 630, 14875, 11675, 994, 268, 10871, 16958, 7025, 2037, 7593, 454, 268, 25115, 6987, 3555, 0, 3080, 17096, 2495, 2443, 21739, 519, 1034, 1419, 14437, 827, 835, 2443, 568, 2141, 547, 2047, 21102, 2576, 2474, 799, 616, 3116, 779, 27642, 789, 2731, 616, 16523, 267, 610, 267, 4244, 569, 267, 547, 1118, 946, 540, 18825, 1913, 602, 616, 3116, 779, 5310, 5310, 6148, 711, 1683, 873, 609, 5491, 269, 1452, 3527, 616, 20982, 8942, 547, 13587, 633, 267, 10123, 789, 798, 4755, 538, 1483, 1272, 269, 2859, 1419, 267, 855, 267, 2042, 8451, 689, 5310, 711, 689, 20982, 13817, 2265, 267, 855, 689, 17608, 610, 9073, 602, 616, 1416, 1652, 8806, 2285, 606, 1764, 540, 25718, 1317, 2959, 723, 2965, 333, 1406, 1044, 20295, 2094, 789, 1058, 563, 5629, 519, 2495, 713, 568, 6157, 1360, 1101, 10297, 971, 3527, 607, 20982, 17403, 267, 621, 568, 4277, 569, 606, 2653, 4305, 547, 12735, 3511, 1125, 538, 6266, 540, 2081, 799, 1223, 581, 1765, 602, 568, 3006, 23139, 16136, 2074, 269, 2659, 16929, 786, 4440, 723, 17096, 2638, 518, 1863, 950, 621, 2501, 547, 741, 946, 267, 543, 1082, 786, 1665, 1524, 2798, 585, 4057, 14327, 267, 1256, 621, 568, 6148, 6148, 711, 18532, 25718, 952, 789, 1174, 454, 6624, 16929, 7662, 596, 547, 13712, 519, 1568, 540, 824, 1004, 865, 602, 596, 1451, 547, 581, 513, 11001, 602, 568, 5683, 786, 711, 12735, 3511, 1125, 269, 32279, 267, 16929, 946, 513, 1863, 540, 5279, 17096, 602, 568, 2228, 610, 5310, 519, 3169, 3169, 1482, 17096, 3926, 547, 1118, 2386, 10453, 616, 1310, 8846, 269, 11048, 267, 609, 1082, 3785, 267, 26050, 267, 14609, 625, 267, 607, 1134, 607, 824, 3344, 540, 1272, 9648, 267, 621, 949, 581, 2352, 547, 2594, 1169, 3364, 269, 0, 5804, 519, 9976, 14787, 540, 13303, 5125, 267, 519, 1650, 540, 513, 7415, 855, 4625, 5667, 2426, 1895, 602, 1981, 539, 3388, 547, 948, 519, 1034, 7925, 454, 1103, 519, 2038, 476, 4572, 271, 338, 9624, 519, 30331, 10052, 540, 1284, 31483, 5125, 267, 513, 1507, 1895, 540, 4708, 762, 4998, 1235, 3459, 547, 2743, 267, 8026, 513, 9602, 267, 18497, 1272, 5059, 593, 1582, 21553, 2889, 22777, 269, 1280, 519, 1034, 851, 267, 789, 1185, 2097, 547, 917, 1142, 824, 1247, 11504, 2937, 2069, 5049, 538, 519, 2749, 540, 3647, 523, 269, 1809, 968, 1492, 25143, 2223, 607, 789, 1572, 741, 1895, 267, 1185, 3138, 11998, 17050, 910, 896, 519, 4287, 540, 741, 6205, 3203, 584, 10496, 10849, 267, 922, 2818, 12479, 547, 585, 613, 606, 4998, 2146, 602, 1131, 4196, 607, 513, 2203, 585, 2486, 693, 1804, 269, 1809, 609, 519, 607, 1417, 540, 519, 21647, 267, 519, 25143, 729, 7142, 547, 556, 24834, 10663, 922, 5692, 267, 2519, 3079, 593, 5356, 6351, 547, 519, 30201, 3176, 267, 5103, 519, 1390, 1981, 269, 4256, 2238, 24132, 689, 9683, 10969, 730, 6014, 3885, 1310, 26701, 718, 333, 25638, 267, 547, 11488, 28302, 5022, 543, 1612, 26118, 540, 1426, 543, 9660, 547, 1244, 677, 4315, 538, 5834, 13122, 267, 547, 12062, 532, 2797, 4744, 6342, 543, 7642, 593, 519, 2196, 563, 1432, 2968, 540, 713, 1895, 286, 1656, 875, 1058, 922, 23339, 910, 1419, 1507, 267, 9583, 28971, 6411, 540, 11587, 543, 6351, 910, 581, 11117, 538, 519, 6626, 1686, 540, 1272, 896, 519, 21647, 286, 14301, 593, 513, 11495, 1305, 540, 5892, 10002, 21242, 5022, 267, 1019, 2456, 267, 30123, 777, 334, 5359, 267, 824, 6054, 267, 543, 1010, 1378, 11042, 609, 15000, 267, 14787, 4460, 14986, 2006, 2982, 875, 543, 1946, 519, 25143, 9333, 809, 922, 5906, 960, 269, 898, 568, 606, 9058, 1650, 538, 922, 1378, 1318, 267, 855, 14986, 2006, 3217, 721, 4514, 267, 8716, 721, 547, 556, 20459, 519, 2035, 540, 4187, 543, 15063, 896, 519, 21647, 267, 2093, 1932, 1419, 554, 6359, 17977, 676, 2442, 18765, 540, 1367, 5869, 1143, 610, 2797, 4998, 1143, 269, 26361, 782, 267, 519, 25143, 779, 1650, 568, 835, 602, 24259, 1007, 1769, 593, 1018, 621, 5921, 547, 2709, 513, 4543, 1688, 538, 713, 4158, 942, 563, 27237, 292, 281, 901, 2140, 568, 513, 645, 1173, 664, 1433, 269, 645, 1173, 664, 2835, 616, 4430, 11891, 610, 4558, 7024, 689, 21101, 602, 616, 15739, 564, 569, 6825, 609, 513, 1507, 12297, 610, 1899, 593, 519, 6316, 540, 519, 3817, 543, 267, 1247, 1034, 616, 538, 1390, 2783, 267, 930, 2835, 949, 8858, 5634, 23815, 5957, 543, 15237, 269, 1358, 949, 849, 723, 513, 3902, 6529, 518, 593, 621, 689, 519, 3312, 4558, 621, 729, 8120, 689, 269, 769, 4686, 2665, 519, 4890, 3382, 540, 519, 1433, 1522, 711, 6474, 519, 835, 538, 519, 4159, 4605, 269, 1280, 811, 1344, 267, 3643, 3776, 8605, 2985, 563, 18814, 547, 1082, 21101, 711, 3246, 513, 8225, 1592, 3902, 519, 8225, 1592, 3902, 3254, 568, 606, 16759, 1759, 2390, 519, 2475, 1592, 3902, 16611, 676, 519, 1699, 5385, 2557, 269, 0, 3963, 1281, 1250, 2837, 2542, 3100, 25619, 888, 2414, 1491, 606, 7525, 6482, 267, 596, 1590, 1832, 519, 2011, 3001, 1472, 519, 2837, 9300, 269, 1403, 972, 568, 513, 2178, 30089, 267, 1175, 1448, 519, 918, 652, 7758, 883, 519, 2842, 269, 1403, 972, 568, 1100, 2842, 267, 18711, 519, 918, 652, 7758, 1472, 538, 513, 5858, 593, 922, 561, 1415, 731, 610, 6385, 5951, 621, 1394, 543, 8521, 538, 1688, 269, 901, 5849, 602, 519, 9300, 3800, 519, 2837, 540, 519, 2011, 2864, 982, 519, 2837, 540, 519, 2013, 563, 21446, 8271, 267, 952, 596, 723, 942, 267, 1450, 519, 918, 652, 7758, 547, 1964, 1141, 596, 1616, 547, 2268, 519, 2011, 2837, 630, 27237, 538, 707, 1688, 264, 2394, 519, 2013, 2837, 3160, 3278, 609, 519, 2011, 2837, 269, 1879, 3160, 1242, 267, 519, 4159, 786, 1224, 513, 3586, 1871, 269, 2142, 3222, 602, 713, 1223, 1491, 607, 1279, 607, 8938, 3764, 269, 0, 22139, 11114, 9598, 1807, 13690, 808, 784, 1133, 20374, 689, 519, 1857, 3750, 585, 811, 982, 3368, 540, 4989, 267, 799, 17275, 513, 10917, 652, 540, 25127, 593, 1010, 12556, 269, 9012, 5359, 10704, 593, 1010, 1072, 267, 11021, 646, 1185, 22734, 513, 7762, 3481, 5106, 282, 693, 2547, 835, 2923, 17752, 1256, 1179, 4327, 602, 646, 1185, 5747, 563, 15447, 333, 585, 14027, 922, 6046, 9604, 1982, 538, 1219, 4800, 540, 3486, 20320, 3646, 267, 13690, 779, 12512, 729, 849, 1336, 25964, 538, 476, 1001, 279, 676, 513, 772, 2529, 269, 5313, 5480, 585, 519, 25711, 543, 2669, 540, 11158, 288, 2875, 32572, 24953, 321, 1512, 563, 4002, 2904, 476, 273, 267, 13690, 31272, 18193, 538, 1533, 17898, 29107, 2923, 6337, 267, 11504, 513, 16008, 16287, 519, 12032, 540, 513, 13226, 2030, 5087, 540, 12877, 784, 344, 836, 267, 1574, 532, 930, 4145, 827, 519, 4182, 779, 6617, 563, 2414, 948, 12172, 713, 3510, 267, 11158, 288, 4653, 5342, 606, 4757, 5967, 609, 9478, 6423, 2917, 267, 606, 13930, 7548, 538, 519, 2160, 540, 9098, 779, 4856, 14585, 534, 4972, 540, 3778, 945, 24870, 538, 519, 1686, 540, 9705, 267, 519, 5545, 7276, 543, 5101, 7489, 2825, 1686, 563, 8450, 2917, 568, 4867, 1603, 513, 1433, 593, 519, 962, 2728, 5211, 10465, 1063, 3345, 9705, 543, 3624, 1282, 519, 1974, 476, 6245, 275, 547, 476, 3707, 276, 563, 304, 269, 1548, 6941, 519, 2487, 2923, 1719, 543, 25127, 827, 519, 1141, 629, 8083, 540, 3345, 11114, 6205, 13690, 808, 784, 1133, 888, 288, 269, 13690, 808, 784, 1133, 779, 2487, 476, 2641, 6377, 9000, 689, 1857, 2621, 19430, 7920, 2923, 25127, 540, 513, 2101, 4576, 610, 1256, 1010, 2669, 267, 1152, 547, 723, 891, 32422, 26632, 622, 950, 13690, 31272, 18193, 538, 513, 1857, 16008, 16287, 519, 6679, 540, 513, 1007, 13226, 12051, 563, 1607, 729, 15991, 519, 1101, 942, 513, 3345, 11114, 6205, 779, 10151, 18956, 689, 519, 1857, 30425, 19430, 7080, 545, 687, 540, 3978, 4576, 267, 24835, 659, 2787, 610, 31587, 12512, 1689, 269, 681, 636, 832, 849, 2220, 597, 1194, 950, 13690, 20374, 689, 519, 1857, 2070, 585, 513, 942, 538, 476, 1001, 275, 267, 1152, 547, 9583, 968, 2492, 1394, 689, 519, 4666, 892, 476, 6078, 2395, 2663, 563, 4517, 621, 779, 711, 1175, 13690, 779, 1141, 629, 8083, 610, 519, 6214, 540, 3345, 11114, 5718, 602, 4482, 519, 4639, 779, 3007, 269, 589, 29519, 594, 5063, 6026, 11158, 288, 896, 6588, 1091, 593, 3345, 9705, 2141, 3459, 609, 513, 968, 22139, 9705, 538, 519, 3377, 892, 4901, 1141, 1053, 3838, 1018, 789, 1185, 1224, 5063, 827, 3345, 9705, 269, 1358, 782, 3533, 4121, 602, 5375, 22906, 609, 713, 2197, 1500, 1256, 519, 1034, 9583, 27217, 3377, 3078, 950, 3345, 9705, 729, 3773, 547, 519, 3575, 269, 594, 3982, 569, 3314, 835, 581, 332, 4310, 1362, 6643, 827, 513, 3377, 2376, 593, 968, 20776, 325, 532, 538, 3345, 9705, 3034, 1432, 568, 621, 267, 1287, 267, 827, 713, 16957, 968, 615, 2466, 10806, 892, 543, 922, 6214, 602, 8992, 971, 22906, 286, 1280, 1346, 540, 721, 538, 519, 772, 2529, 1421, 519, 14891, 4658, 779, 6243, 540, 9705, 267, 519, 4013, 2012, 540, 1018, 649, 1289, 968, 22139, 9705, 2223, 814, 1044, 14578, 16678, 1242, 607, 606, 1202, 13062, 17014, 12019, 2782, 3180, 719, 602, 267, 538, 938, 7104, 4337, 5209, 267, 2488, 519, 3501, 25710, 4185, 547, 938, 3854, 2065, 543, 11180, 2486, 269, 4634, 607, 19797, 3624, 814, 8499, 17947, 2518, 16851, 267, 543, 1977, 14666, 1107, 693, 2547, 840, 1790, 663, 2438, 1107, 616, 11488, 17749, 533, 923, 689, 519, 10754, 540, 32147, 3570, 267, 519, 667, 11266, 298, 3788, 8149, 547, 513, 9709, 4346, 543, 9395, 2000, 1342, 539, 28974, 2486, 602, 4667, 267, 693, 2547, 547, 721, 267, 899, 1945, 2786, 856, 540, 513, 476, 4198, 271, 338, 3377, 516, 601, 540, 519, 8168, 5742, 563, 1607, 267, 5916, 609, 519, 667, 11266, 298, 779, 1646, 540, 6046, 9604, 267, 922, 4050, 31008, 585, 10514, 2880, 4013, 605, 743, 600, 725, 267, 607, 1134, 607, 519, 2823, 569, 5920, 540, 922, 5767, 30552, 2880, 6205, 267, 2306, 519, 2197, 606, 782, 3562, 334, 12656, 2739, 1641, 585, 711, 1152, 4987, 2146, 1526, 1716, 566, 267, 855, 849, 3735, 5991, 697, 18792, 543, 3377, 5662, 19240, 689, 824, 5571, 543, 811, 2673, 3562, 25571, 15166, 1886, 1127, 899, 519, 5046, 268, 866, 6855, 563, 304, 269, 11512, 13690, 808, 784, 1133, 267, 875, 646, 3893, 547, 1141, 646, 568, 267, 1010, 1920, 1899, 267, 1018, 646, 568, 899, 543, 1946, 646, 568, 602, 1259, 563, 288, 269, 634, 1699, 10966, 26064, 540, 519, 667, 11266, 298, 267, 13690, 808, 784, 1133, 267, 568, 519, 5067, 540, 3105, 3345, 11114, 10966, 26064, 13690, 808, 784, 19129, 543, 1178, 2738, 517, 540, 13690, 19129, 590, 2426, 267, 3345, 9705, 779, 1101, 10966, 26064, 689, 519, 2197, 779, 15713, 538, 476, 3707, 279, 2394, 476, 1960, 275, 269, 3345, 9705, 568, 2189, 1851, 19797, 2829, 538, 922, 2259, 540, 513, 1062, 540, 30552, 2880, 19588, 585, 922, 1283, 5718, 269, 901, 729, 711, 2141, 606, 12491, 527, 1464, 282, 538, 476, 3192, 271, 267, 835, 3345, 11114, 2797, 8675, 4330, 22420, 19588, 607, 968, 320, 5114, 776, 2688, 13736, 538, 7518, 5511, 7239, 1848, 1809, 676, 602, 1482, 8717, 13690, 19129, 590, 2426, 1185, 849, 5693, 4956, 602, 519, 1655, 1259, 547, 5150, 1010, 9371, 729, 547, 19081, 1010, 5067, 267, 13690, 808, 784, 19129, 267, 547, 8263, 1379, 267, 543, 1379, 814, 7283, 538, 519, 13690, 1920, 2479, 2094, 563, 304, 269, 21518, 13690, 808, 784, 1133, 547, 10393, 5884, 610, 1831, 24835, 659, 18469, 267, 1018, 798, 649, 538, 519, 4639, 917, 827, 945, 1131, 1491, 1010, 1747, 888, 288, 269, 634, 2243, 540, 19588, 568, 606, 4277, 543, 1271, 835, 269, 25392, 519, 30552, 2880, 1505, 540, 19588, 602, 814, 7173, 9229, 3976, 2484, 538, 3345, 9705, 267, 621, 4667, 2693, 602, 1379, 1131, 5555, 1780, 547, 835, 540, 13690, 779, 1453, 269, 1809, 952, 13690, 808, 784, 1133, 941, 547, 5884, 16349, 569, 267, 607, 1082, 1179, 4327, 2063, 3018, 267, 1287, 13690, 779, 1699, 1453, 1131, 581, 2484, 1932, 1762, 547, 8263, 519, 25136, 540, 5718, 563, 298, 574, 779, 11078, 267, 13690, 962, 334, 808, 784, 267, 814, 2799, 538, 23146, 538, 519, 1857 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10214, 1498, 1261, 3091, 873, 1100, 25863, 267, 2696, 568, 267, 5310, 19599, 547, 721, 267, 5461, 538, 3450, 519, 23109, 563, 2690, 1454, 540, 519, 6196, 11620, 267, 28556, 22646, 543, 22679, 1600, 741, 1378, 16322, 2886, 827, 519, 11419, 602, 1131, 2097, 998, 519, 7985, 902, 540, 2441, 543, 519, 7766, 1350, 1559, 269, 2353, 540, 713, 1434, 3377, 267, 799, 8834, 1767, 1185, 1044, 840, 3737, 547, 1010, 1528, 3988, 267, 941, 968, 628, 902, 883, 799, 23109, 1279, 547, 1413, 892, 630, 272, 8834, 476, 272, 281, 1015, 268, 1321, 1916, 4002, 519, 3444, 4906, 5747, 585, 1346, 945, 941, 4666, 538, 741, 512, 4046, 13293, 269, 1261, 666, 576, 1194, 968, 1492, 2594, 540, 7963, 602, 11542, 1996, 721, 609, 922, 3656, 7569, 269, 901, 646, 1305, 11735, 267, 562, 9430, 621, 547, 519, 3444, 1848, 901, 568, 2441, 779, 960, 585, 721, 269, 1809, 538, 3257, 865, 1261, 849, 968, 4134, 28534, 519, 17710, 543, 8128, 267, 543, 2322, 873, 547, 1930, 17847, 267, 676, 17636, 532, 936, 873, 892, 630, 8624, 1601, 2103, 476, 273, 281, 1724, 268, 1428, 1040, 2311, 519, 3444, 2696, 6026, 519, 23109, 513, 3992, 563, 2467, 568, 1776, 3992, 1869, 2469, 593, 269, 2696, 568, 8744, 547, 1769, 585, 3025, 1018, 568, 519, 9814, 540, 3571, 1544, 269, 901, 968, 18661, 945, 2813, 782, 1919, 892, 5170, 2324, 968, 810, 602, 998, 519, 5939, 519, 32032, 7326, 540, 2696, 1522, 1631, 581, 1500, 1634, 547, 519, 17710, 543, 8128, 538, 31676, 4025, 892, 630, 22977, 1127, 2103, 476, 274, 281, 280, 268, 1015, 1040, 4911, 1564, 1451, 4245, 607, 2696, 13976, 3571, 5939, 563, 1607, 11744, 960, 4422, 782, 519, 1259, 1394, 547, 3798, 523, 269, 2696, 5143, 519, 15743, 267, 968, 296, 786, 2322, 679, 332, 640, 1063, 596, 543, 519, 4807, 267, 543, 1063, 707, 6079, 543, 1200, 6079, 2223, 543, 596, 616, 2469, 547, 6336, 269, 1284, 2356, 1810, 1406, 4766, 2696, 779, 13414, 607, 968, 8243, 871, 2911, 2223, 855, 713, 568, 10143, 29405, 547, 519, 1583, 25871, 269, 634, 4807, 779, 6079, 17993, 563, 2690, 5481, 2696, 814, 1044, 6158, 713, 1259, 547, 31111, 23109, 543, 1261, 5170, 547, 1118, 3571, 1448, 676, 796, 1746, 519, 5939, 538, 519, 22900, 4149, 331, 9707, 267, 938, 14205, 1640, 267, 4906, 2441, 563, 763, 16285, 540, 2696, 543, 519, 7092, 540, 2367, 568, 711, 606, 4081, 3635, 269, 23323, 5390, 12544, 1434, 2696, 779, 1852, 936, 812, 779, 9409, 630, 663, 2470, 779, 16160, 3196, 602, 9292, 1206, 2367, 28931, 20813, 1258, 1206, 721, 1169, 1554, 269, 1403, 649, 2161, 1261, 666, 3247, 621, 267, 1946, 3085, 1406, 1261, 286, 1403, 649, 2161, 1261, 666, 711, 3247, 621, 267, 1141, 666, 649, 979, 585, 948, 888, 296, 4076, 2141, 1336, 621, 5363, 547, 3314, 602, 519, 1034, 9409, 3364, 602, 814, 2479, 5949, 538, 519, 1158, 729, 9709, 676, 2696, 1354, 1261, 2813, 519, 1158, 269, 3143, 25711, 814, 2479, 1044, 811, 24407, 982, 1018, 519, 7980, 1705, 547, 4906, 267, 543, 676, 1346, 16398, 649, 616, 646, 4705, 269, 3143, 3557, 7254, 794, 539, 3854, 10751, 814, 2479, 1044, 811, 17351, 610, 12638, 748, 538, 8247, 267, 543, 676, 2441, 779, 2669, 649, 917, 2696, 779, 15962, 8247, 269, 2696, 1031, 519, 1034, 646, 29532, 5609, 540, 812, 547, 6718, 519, 20778, 540, 812, 563, 763, 19980, 956, 6444, 2696, 779, 1688, 538, 519, 16961, 32267, 542, 269, 8834, 840, 3737, 593, 19999, 1815, 739, 912, 10472, 4906, 267, 9447, 909, 2687, 547, 519, 17386, 1544, 543, 2062, 32474, 540, 2696, 267, 596, 16961, 1881, 543, 7166, 676, 519, 3946, 540, 1876, 1652, 2367, 269, 630, 8002, 338, 476, 273, 281, 2537, 994, 763, 21071, 7281, 539, 538, 1769, 540, 2392, 652, 1588, 912, 1721, 5963, 538, 713, 2749, 972, 941, 10356, 1927, 1996, 707, 13411, 22700, 4906, 267, 7247, 596, 606, 31212, 267, 1312, 4173, 617, 543, 30716, 3780, 15815, 622, 267, 2059, 609, 519, 22918, 3796, 543, 519, 9082, 540, 5840, 267, 547, 798, 8726, 707, 1688, 543, 707, 1544, 1185, 2392, 652, 1441, 547, 1491, 1747, 269, 630, 8002, 338, 476, 275, 281, 2767, 1700, 2764, 994, 18661, 711, 1152, 666, 946, 519, 9409, 540, 2367, 267, 1261, 5921, 547, 269, 1261, 20217, 721, 547, 3314, 519, 18710, 540, 519, 3444, 1700, 3602, 1261, 2966, 519, 10700, 4159, 540, 18710, 1700, 553, 649, 3548, 519, 3694, 543, 4235, 519, 9174, 1927, 269, 0, 763, 29336, 3578, 7412, 720, 454, 19604, 1245, 645, 269, 29336, 3578, 267, 2278, 540, 519, 1433, 267, 29336, 3578, 7731, 267, 476, 4198, 280, 267, 5156, 602, 519, 2012, 29336, 3578, 630, 4944, 8215, 8938, 1114, 2081, 1070, 729, 3144, 689, 834, 4133, 540, 29336, 3578, 2437, 513, 1895, 540, 3484, 560, 1737, 338, 4092, 538, 519, 3046, 3415, 540, 667, 1276, 531, 538, 11412, 325, 4319, 28790, 267, 10430, 269, 901, 568, 4092, 827, 476, 1321, 5195, 689, 519, 4099, 540, 29161, 543, 827, 2947, 5195, 5045, 540, 519, 595, 569, 1372, 5211, 538, 4190, 544, 3233, 4133, 269, 1403, 29733, 645, 269, 29336, 3578, 568, 4977, 267, 1287, 782, 29336, 3578, 338, 616, 30980, 563, 763, 2495, 543, 5169, 540, 519, 1747, 2012, 267, 29336, 3578, 267, 568, 7164, 269, 24764, 538, 834, 4133, 540, 29336, 3578, 257, 568, 513, 9543, 2006, 2777, 1572, 834, 290, 1551, 3578, 5600, 1701, 898, 568, 2347, 609, 513, 9856, 5264, 693, 519, 13675, 540, 519, 535, 10642, 1858, 540, 519, 10040, 543, 519, 2777, 18795, 538, 513, 9240, 557, 540, 4054, 269, 3600, 637, 540, 544, 3233, 4133, 3295, 519, 3959, 543, 621, 568, 1767, 547, 581, 607, 17681, 2221, 607, 621, 729, 4080, 547, 723, 1044, 538, 519, 476, 8182, 271, 781, 543, 476, 10204, 271, 781, 563, 32481, 476, 15433, 276, 267, 3703, 22477, 8118, 909, 24914, 538, 772, 3149, 518, 267, 8832, 8581, 269, 3509, 29703, 3576, 5413, 540, 519, 682, 553, 762, 2244, 267, 1519, 930, 540, 519, 29336, 3578, 338, 689, 11412, 325, 4319, 28790, 269, 3502, 782, 540, 519, 29336, 3578, 338, 28953, 547, 8581, 267, 930, 18423, 3297, 563, 2005, 568, 1634, 602, 519, 2062, 321, 8986, 540, 519, 29336, 3578, 338, 945, 3357, 547, 3013, 3576, 519, 4316, 547, 25755, 519, 23505, 720, 538, 7187, 8581, 563, 9961, 519, 3703, 11866, 538, 519, 2038, 476, 10204, 271, 781, 267, 519, 29703, 267, 607, 1134, 607, 519, 3465, 2421, 614, 2103, 941, 649, 776, 543, 27209, 676, 519, 9993, 5116, 593, 873, 676, 519, 22477, 543, 519, 5783, 540, 4789, 269, 1358, 3459, 547, 1413, 1472, 585, 513, 1007, 543, 1732, 1753, 1141, 789, 1223, 2972, 811, 5191, 540, 4984, 269, 769, 476, 15094, 278, 267, 519, 24663, 267, 6276, 29336, 3578, 267, 540, 645, 958, 27926, 514, 3474, 880, 267, 4165, 3234, 6019, 267, 8581, 267, 5747, 269, 3571, 14930, 267, 19124, 543, 14088, 630, 272, 264, 30774, 547, 3013, 593, 519, 6928, 267, 667, 559, 580, 775, 540, 29161, 267, 538, 5130, 540, 476, 15094, 280, 269, 1879, 789, 1101, 8452, 538, 519, 1007, 2197, 267, 519, 4505, 21152, 5219, 547, 873, 607, 9721, 267, 799, 789, 9244, 759, 5034, 267, 1202, 12371, 2864, 602, 789, 941, 29703, 269, 13536, 267, 789, 941, 2808, 13677, 16927, 16194, 610, 8857, 577, 16927, 16194, 563, 3849, 600, 29336, 3578, 267, 630, 272, 1070, 4535, 1472, 476, 10204, 275, 267, 4165, 3234, 6019, 267, 8581, 267, 5747, 476, 9965, 273, 267, 538, 22050, 517, 6019, 267, 3345, 10491, 269, 1261, 9310, 10906, 2142, 3430, 773, 267, 8250, 540, 3627, 2142, 3430, 773, 269, 14088, 543, 10906, 1185, 5722, 1453, 269, 634, 3791, 1126, 267, 3957, 7917, 29336, 3578, 630, 273, 1070, 4535, 476, 14690, 277, 267, 5747, 476, 8687, 276, 267, 9310, 10906, 18722, 269, 1358, 1185, 8370, 1453, 269, 7917, 543, 10906, 781, 18749, 1126, 729, 513, 5067, 3957, 12138, 29336, 3578, 630, 274, 1070, 4535, 476, 9965, 275, 267, 3345, 10491, 267, 9310, 27211, 4432, 9469, 538, 476, 8687, 279, 267, 543, 6410, 547, 18039, 6019, 267, 17665, 563, 20694, 6387, 543, 27211, 1185, 8370, 1453, 267, 543, 741, 8772, 1126, 729, 513, 5067, 3957, 7338, 29336, 3578, 630, 275, 1040, 7338, 729, 4535, 538, 23885, 6019, 267, 11908, 267, 538, 476, 8687, 275, 269, 634, 476, 5908, 271, 2475, 17227, 8638, 7338, 9310, 547, 595, 2106, 628, 807, 7788, 853, 990, 718, 267, 519, 8250, 540, 5261, 853, 990, 718, 543, 595, 2106, 628, 807, 570, 23628, 590, 22201, 841, 269, 2991, 595, 2106, 628, 807, 7788, 781, 2669, 538, 476, 7277, 275, 267, 7338, 2451, 1010, 2185, 1453, 609, 12559, 565, 558, 594, 269, 853, 990, 718, 267, 513, 7015, 540, 595, 2106, 628, 807, 7788, 267, 543, 4682, 1394, 547, 21701, 6019, 267, 17665, 269, 7338, 262, 1141, 629, 8083, 729, 7164, 676, 1010, 1920, 543, 18939, 585, 1082, 1296, 2394, 646, 729, 1336, 538, 519, 476, 5908, 271, 17227, 5638, 23493, 538, 631, 4115, 6019, 267, 17665, 267, 609, 2034, 7385, 543, 1079, 811, 1453, 269, 769, 476, 6977, 273, 267, 12559, 565, 558, 594, 269, 853, 990, 718, 6410, 1010, 1920, 267, 2059, 609, 519, 29336, 3578, 1453, 267, 689, 18039, 6019, 267, 17665, 547, 570, 1575, 601, 334, 267, 14967, 269, 1261, 729, 513, 14012, 543, 646, 25374, 585, 1010, 11078, 781, 1453, 2394, 789, 941, 4079, 563, 6097, 547, 519, 476, 5908, 271, 2475, 17227, 267, 7338, 543, 1010, 2034, 7385, 267, 6307, 700, 269, 834, 303, 14709, 257, 18628, 267, 543, 741, 1453, 941, 538, 3057, 542, 6019, 267, 17665, 269, 1358, 1185, 513, 2698, 540, 5216, 1453, 269, 2290, 540, 519, 1453, 729, 513, 5067, 267, 5261, 29336, 3578, 630, 276, 1070, 4535, 5147, 476, 1789, 267, 476, 7277, 279, 267, 3057, 542, 6019, 267, 17665, 269, 1261, 9310, 6307, 7200, 595, 2211, 710, 16019, 267, 8250, 540, 3627, 808, 28771, 16019, 543, 9253, 25475, 595, 2211, 710, 717, 2335, 269, 630, 4322, 717, 534, 985, 616, 14360, 1394, 547, 26652, 538, 634, 717, 2335, 9198, 725, 676, 661, 850, 523, 717, 2335, 538, 476, 1960, 273, 4700, 5261, 543, 6307, 7200, 1185, 2185, 1453, 269, 634, 9510, 267, 513, 5067, 3957, 3627, 7338, 29336, 3578, 630, 277, 1070, 729, 4535, 5239, 476, 2918, 267, 476, 6942, 276, 267, 538, 5842, 5112, 6019, 267, 17665, 630, 852, 19681, 541, 6019, 1040, 1261, 9310, 2506, 1067, 8895, 321, 805, 327, 6519, 267, 4535, 4864, 476, 1691, 267, 476, 6942, 278, 269, 2701, 729, 519, 454, 323, 5922, 540, 4024, 773, 654, 269, 6519, 543, 13162, 1975, 745, 328, 749, 630, 16269, 2760, 9310, 1916, 11990, 7338, 543, 2506, 1067, 1185, 8370, 1453, 269, 1452, 8370, 1453, 616, 519, 3237, 540, 519, 29336, 3578, 338, 945, 13984, 519, 476, 1960, 278, 29336, 3578, 22653, 542, 538, 19681, 541, 6019, 267, 17665, 269, 5903, 539, 2630, 616, 891, 8370, 1453, 912, 272, 269, 9253, 25475, 661, 1492, 331, 29336, 3578, 267, 4535, 5181, 476, 272, 267, 476, 6245, 278, 267, 9310, 593, 5437, 476, 1839, 267, 476, 4572, 274, 267, 547, 8361, 700, 6856, 2782, 5585, 267, 4535, 2904, 476, 1724, 267, 476, 6642, 279, 563, 273, 269, 5261, 24898, 29336, 3578, 267, 4535, 4728, 476, 277, 267, 476, 5002, 271, 267, 9310, 593, 5181, 476, 2537, 267, 476, 4572, 274, 267, 547, 20653, 1067, 4432, 332, 732, 3733, 619, 563, 274, 269, 31701, 322, 773, 17451, 1467, 29336, 3578, 267, 4535, 5437, 476, 866, 267, 476, 5002, 274, 267, 9310, 593, 5130, 476, 1626, 267, 476, 4572, 274, 267, 547, 18039, 23765, 8055, 563, 275, 269, 7085, 773, 14105, 29336, 3578, 267, 4535, 476, 5002, 277, 267, 9310, 593, 2904, 476, 1240, 267, 476, 4350, 271, 267, 547, 3057, 4802, 674, 14979, 333, 563, 276, 269, 18844, 12340, 17555, 29336, 3578, 267, 4535, 4873, 476, 273, 267, 476, 5002, 280, 267, 9310, 593, 5437, 476, 2918, 267, 476, 4350, 273, 267, 547, 24898, 29527, 11875, 328, 2714, 563, 277, 269, 4024, 773, 10557, 29336, 3578, 267, 4535, 5437, 476, 1839, 267, 476, 4489, 272, 267, 9310, 593, 5412, 476, 275, 267, 476, 3707, 278, 267, 547, 20306, 773, 681, 9926, 2088, 13177, 267, 4535, 2904, 476, 1839, 267, 476, 4572, 274, 563, 278, 269, 1546, 28838, 18039, 29336, 3578, 267, 4535, 5437, 476, 276, 267, 476, 4489, 277, 267, 9310, 547 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 661, 12839, 563, 5085, 296, 918, 269, 11553, 21201, 267, 11536, 304, 1421, 454, 11266, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 292, 743, 2354, 525, 257, 607, 851, 540, 834, 289, 7495, 312, 267, 631, 18853, 1299, 9501, 7644, 3951, 1315, 8330, 14347, 1315, 9710, 8113, 8554, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 1012, 4197, 12430, 22953, 609, 5124, 692, 30791, 9695, 568, 513, 2241, 543, 4922, 1031, 1826, 540, 16762, 2079, 269, 898, 781, 513, 8579, 1505, 602, 2636, 721, 547, 1353, 3347, 1063, 1079, 6024, 630, 31642, 5511, 264, 4632, 269, 769, 713, 1770, 267, 649, 3513, 1451, 875, 547, 946, 5124, 781, 3684, 1565, 5399, 267, 2387, 12921, 16753, 12452, 547, 1628, 513, 5276, 9695, 2203, 543, 1118, 11236, 780, 2162, 7383, 532, 23905, 543, 15775, 4578, 692, 2171, 3513, 1376, 676, 1104, 532, 519, 2556, 8021, 543, 15205, 938, 10471, 269, 634, 2387, 2903, 10734, 10667, 13237, 1599, 689, 2387, 12921, 16753, 6155, 21648, 1115, 319, 2488, 519, 11785, 24184, 10471, 267, 799, 3568, 1344, 827, 8075, 538, 1585, 11785, 1016, 31755, 780, 3499, 7090, 454, 5814, 21795, 607, 19073, 454, 5814, 11885, 607, 5286, 454, 5228, 28189, 6155, 21648, 1115, 1104, 4452, 10734, 10667, 454, 5228, 28189, 269, 15035, 31200, 1104, 12430, 8802, 1833, 692, 258, 5192, 1239, 454, 11907, 815, 4452, 10734, 10667, 4590, 4206, 815, 19073, 6185, 1092, 20988, 16597, 21606, 267, 9587, 284, 11907, 8807, 324, 1155, 5332, 1868, 994, 4206, 9131, 339, 13759, 11172, 815, 1239, 6745, 13759, 454, 7884, 763, 10471, 2882, 476, 1724, 2934, 267, 971, 607, 6760, 2557, 267, 3328, 1297, 540, 11623, 267, 543, 3845, 547, 7694, 7740, 269, 3776, 3804, 568, 547, 3589, 519, 11667, 1871, 540, 8227, 268, 31039, 5321, 630, 1492, 1412, 339, 13759, 262, 4756, 6393, 2162, 590, 5902, 1154, 4578, 883, 9751, 543, 13281, 30498, 692, 6524, 2679, 938, 2203, 267, 649, 991, 547, 8237, 519, 1239, 883, 513, 2866, 1305, 543, 513, 4152, 1305, 269, 634, 2866, 1305, 568, 1031, 547, 5721, 519, 2203, 267, 1247, 519, 4152, 1305, 568, 1031, 547, 6218, 922, 2773, 269, 1284, 3513, 946, 606, 476, 3199, 270, 736, 8237, 267, 2495, 476, 3199, 260, 540, 519, 1239, 786, 581, 1031, 585, 2866, 543, 476, 736, 260, 585, 4152, 780, 3499, 7090, 454, 5228, 28189, 6230, 617, 601, 26000, 3005, 1104, 5721, 15305, 5334, 5902, 692, 258, 590, 5902, 1239, 454, 311, 17601, 267, 2473, 15305, 267, 586, 17601, 267, 586, 15305, 815, 5721, 15305, 5334, 5902, 29254, 6155, 1886, 3488, 339, 13759, 3299, 7852, 284, 272, 1070, 17093, 9131, 339, 13759, 28710, 1449, 15481, 284, 271, 269, 273, 267, 4351, 26077, 284, 271, 994, 7884, 2162, 8490, 513, 12430, 22953, 7844, 692, 3086, 602, 649, 723, 938, 1239, 4712, 267, 649, 666, 1628, 938, 5276, 9695, 2203, 269, 589, 5276, 9695, 2203, 568, 513, 2203, 602, 9060, 519, 1655, 5276, 2078, 1063, 513, 8200, 4756, 630, 1492, 4756, 649, 1616, 547, 3589, 264, 543, 835, 610, 811, 4830, 4632, 630, 1492, 4632, 649, 946, 547, 1118, 11236, 6393, 1103, 5124, 267, 649, 666, 1711, 513, 5276, 9695, 2203, 1210, 519, 2387, 30791, 8802, 1833, 13237, 1599, 689, 2387, 12921, 16753, 269, 15035, 31200, 18269, 1284, 1287, 3514, 519, 2203, 547, 938, 2866, 1239, 1210, 519, 2387, 7257, 13237, 1505, 780, 3499, 7090, 454, 258, 12706, 513, 12605, 2203, 454, 15035, 31200, 815, 12430, 8802, 1833, 14061, 7257, 11583, 17601, 267, 586, 17601, 994, 7884, 2162, 4197, 519, 12430, 22953, 17817, 692, 763, 5276, 9695, 2203, 9060, 519, 1655, 3514, 1899, 267, 799, 568, 6719, 676, 519, 3830, 1384, 16465, 344, 815, 536, 318, 271, 1341, 536, 318, 272, 20080, 318, 272, 1341, 536, 318, 273, 20080, 318, 273, 1341, 3267, 1341, 536, 5332, 20080, 5332, 454, 9681, 3602, 912, 268, 1269, 344, 259, 568, 519, 8200, 4756, 630, 1492, 4756, 649, 1616, 547, 3589, 13211, 268, 1269, 321, 318, 271, 259, 568, 519, 586, 25435, 2676, 268, 1269, 321, 318, 272, 267, 536, 318, 273, 267, 10371, 1421, 536, 5332, 259, 616, 519, 14170, 540, 519, 4830, 4632, 267, 543, 454, 268, 1269, 343, 318, 272, 267, 1535, 318, 273, 267, 10371, 1421, 1535, 5332, 259, 616, 519, 4830, 4632, 630, 1492, 4632, 649, 946, 547, 1118, 11236, 6393, 763, 14170, 2995, 721, 519, 3328, 1198, 593, 1269, 344, 259, 540, 513, 835, 15492, 2333, 538, 1269, 343, 8961, 8066, 782, 824, 4632, 3586, 269, 1280, 1383, 267, 952, 519, 11664, 585, 1412, 320, 2071, 1297, 540, 11623, 262, 568, 476, 1015, 267, 1287, 585, 1142, 3606, 4055, 267, 519, 10567, 11667, 1871, 540, 8227, 268, 31039, 5321, 4679, 676, 1269, 1015, 267, 1822, 780, 2162, 15775, 7844, 30352, 543, 11778, 692, 2171, 666, 1205, 519, 14170, 543, 519, 586, 25435, 540, 938, 2203, 1210, 519, 2387, 1723, 1030, 318, 319, 543, 2387, 5793, 1061, 318, 319, 10305, 540, 519, 2387, 30791, 8802, 1833, 319, 1843, 780, 3499, 7090, 454, 258, 5192, 2164, 454, 2745, 263, 15035, 31200, 10947, 318, 1706, 4461, 15405, 2745, 263, 15035, 31200, 16691, 1030, 318, 994, 2745, 263, 15035, 31200, 269, 5793, 1061, 318, 994, 7884, 2171, 666, 849, 946, 938, 2203, 547, 1118, 11236, 593, 519, 4152, 1305, 1210, 519, 2387, 335, 9438, 13237, 1505, 269, 901, 1505, 7024, 606, 5044, 540, 10567, 2418, 780, 3499, 7090, 454, 2745, 263, 15035, 31200, 4877, 9438, 11583, 15305, 4917, 7884, 7661, 267, 649, 666, 6218, 519, 2773, 540, 938, 2203, 1210, 519, 2387, 16557, 13237, 1505, 269, 901, 1505, 7024, 519, 11664, 540, 8990, 1269, 305, 317, 273, 259, 540, 519, 12605, 269, 634, 1269, 305, 317, 273, 259, 6060, 9832, 689, 476, 271, 547, 476, 272, 267, 609, 476, 272, 2495, 602, 938, 2203, 9985, 25221, 519, 1239, 780, 3499, 7090, 454, 2745, 263, 15035, 31200, 269, 16557, 11583, 15305, 267, 586, 15305, 4917, 3499, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 5814, 21795, 607, 19073, 454, 5814, 11885, 607, 5286, 454, 5228, 20848, 1104, 28189, 12774, 15461, 32470, 267, 5721, 15305, 5334, 5902, 318, 5228, 32470, 454, 5228, 28189, 6155, 21648, 1115, 1104, 4452, 10734, 10667, 454, 5228, 28189, 269, 15035, 31200, 1104, 12430, 8802, 1833, 692, 258, 5192, 1239, 454, 11907, 815, 4452, 10734, 10667, 4590, 4206, 815, 28189, 12774, 15461, 32470, 16597, 2020, 258, 590, 5902, 1239, 454, 311, 17601, 267, 2473, 15305, 267, 586, 17601, 267, 586, 15305, 815, 5721, 15305, 5334, 5902, 318, 5228, 32470, 29254, 267, 1412, 339, 13759, 3299, 1449, 15481, 284, 271, 269, 273, 267, 4351, 26077, 284, 271, 994, 2745, 12759, 11583, 17601, 1070, 7003, 11583, 15305, 1070, 7003, 12169, 17601, 1070, 7003, 12169, 15305, 11723, 258, 12706, 513, 12605, 2203, 454, 15035, 31200, 815, 12430, 8802, 1833, 14061, 7257, 11583, 17601, 267, 586, 17601, 2020, 258, 5192, 2164, 454, 2745, 263, 15035, 31200, 10947, 318, 1706, 4461, 15405, 2745, 263, 15035, 31200, 16691, 1030, 318, 994, 2745, 263, 15035, 31200, 269, 5793, 1061, 318, 994, 2745, 263, 15035, 31200, 4877, 9438, 11583, 15305, 4917, 2745, 263, 15035, 31200, 269, 16557, 11583, 15305, 267, 586, 15305, 4917, 8199, 2237, 606, 3573, 543, 2143, 1837, 1770, 609, 19900, 1257, 543, 3009, 12612, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 1100, 1991, 1702, 540, 519, 1641, 269, 634, 1837, 1058, 3895, 7744, 543, 20201, 1983, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 10289, 14740, 543, 23830, 538, 5403, 4211, 2753, 7126, 16527, 3979, 1977, 1299, 4563, 7931, 1734, 692, 1103, 519, 7706, 540, 3332, 267, 3961, 543, 6041, 723, 1279, 1044, 2565, 4798, 602, 3337, 6386, 267, 3226, 1369, 12790, 2950, 269, 634, 8574, 3177, 8711, 891, 2152, 998, 519, 7828, 540, 5026, 267, 4481, 2021, 781, 17281, 267, 1141, 594, 8615, 4210, 5573, 330, 781, 18517, 1831, 513, 18463, 585, 3695, 875, 2043, 6330, 741, 9163, 9624, 6848, 6788, 269, 769, 713, 1576, 1770, 267, 649, 786, 5490, 883, 2147, 2055, 4478, 14070, 11269, 540, 3979, 1977, 543, 4563, 3197, 1282, 519, 2022, 4211, 2753, 7126, 5736, 267, 9878, 1880, 3007, 547, 15832, 9089, 269, 3414, 7421, 1585, 5931, 267, 7811, 10850, 267, 3140, 8658, 267, 543, 4207, 27964, 267, 596, 786, 2744, 513, 4514, 7071, 585, 519, 1950, 2081, 4589, 21907, 23141, 543, 1895, 28930, 725, 780, 1262, 306, 11970, 476, 272, 281, 19484, 5772, 885, 1107, 1323, 11137, 4373, 2414, 2253, 938, 3460, 267, 1577, 721, 1101, 2263, 1018, 13054, 2123, 543, 7104, 9163, 269, 14301, 2390, 25349, 6436, 971, 607, 8210, 1324, 3619, 742, 2006, 781, 667, 1090, 520, 17790, 7869, 630, 4198, 280, 1070, 799, 29102, 602, 1004, 1459, 2933, 21825, 4470, 593, 1514, 3871, 267, 2015, 875, 5007, 2188, 899, 5198, 267, 4008, 267, 22874, 267, 3092, 1421, 3310, 1582, 12656, 4003, 543, 1857, 6881, 269, 1280, 3236, 267, 594, 8615, 4210, 5573, 330, 949, 2697, 5097, 607, 513, 3318, 19002, 267, 2943, 1866, 13498, 1200, 1759, 593, 1200, 2085, 267, 3023, 267, 543, 22874, 269, 901, 27524, 30315, 12651, 1271, 2055, 827, 8116, 267, 13597, 267, 543, 15287, 780, 28274, 713, 1523, 547, 5339, 2079, 267, 4983, 6276, 25930, 7773, 781, 6271, 13474, 630, 3422, 273, 264, 910, 513, 14262, 3209, 1634, 585, 922, 13857, 28402, 540, 954, 24055, 3347, 543, 4638, 5714, 640, 269, 9181, 875, 519, 16502, 681, 18860, 639, 8845, 12066, 956, 609, 1010, 7292, 267, 575, 25311, 267, 543, 14227, 9163, 1247, 10188, 1715, 3840, 4975, 781, 2686, 5251, 269, 1215, 798, 891, 3344, 1217, 1010, 2833, 543, 4205, 286, 1548, 2994, 1281, 25930, 7773, 2308, 547, 6655, 519, 6988, 540, 681, 18860, 639, 262, 1915, 543, 5030, 4641, 2496, 1262, 306, 11970, 476, 273, 281, 11724, 1049, 15348, 1107, 8466, 12745, 338, 543, 12634, 5494, 12973, 4373, 30399, 267, 11509, 5708, 10023, 3979, 4892, 543, 4563, 3197, 814, 1419, 18674, 11475, 610, 524, 23926, 14311, 547, 3043, 9458, 269, 1717, 267, 2094, 519, 6406, 7126, 11873, 267, 1082, 5830, 723, 8179, 547, 29379, 1852, 936, 3109, 6386, 267, 4101, 3105, 21050, 525, 543, 14957, 585, 3152, 13784, 269, 6333, 25761, 1568, 899, 570, 18223, 31513, 781, 11146, 630, 1220, 274, 264, 610, 30094, 569, 23514, 9469, 262, 1473, 15282, 630, 1960, 278, 1040, 5637, 9089, 2709, 3638, 26007, 540, 3109, 2648, 2984, 3544, 2757, 10636, 517, 768, 894, 3889, 780, 11101, 267, 5659, 2487, 12326, 899, 13669, 807, 670, 756, 6975, 781, 5192, 513, 5020, 267, 932, 331, 4141, 9466, 630, 1001, 280, 264, 610, 589, 569, 1087, 320, 23045, 781, 1323, 23448, 867, 2435, 5742, 630, 1001, 279, 1070, 15663, 875, 789, 3136, 11319, 6302, 3823, 6041, 269, 1452, 4207, 32741, 4497, 9691, 609, 28622, 267, 9659, 267, 2681, 1143, 267, 543, 824, 10296, 2152, 5185, 676, 3309, 5095, 269, 1635, 3257, 865, 267, 789, 5706, 1898, 1436, 543, 3565, 9797, 2509, 24905, 1782, 11528, 15746, 780, 1262, 306, 11970, 476, 274, 281, 7335, 1063, 519, 20514, 1107, 7600, 1172, 532, 7956, 783, 11150, 4373, 2026, 4230, 1393, 3988, 267, 621, 568, 2629, 547, 29506, 1125, 875, 4589, 4020, 3197, 543 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 642, 755, 798, 712, 586, 5622, 15921, 345, 1932, 269, 674, 269, 3100, 513, 2370, 8900, 630, 327, 2426, 787, 1040, 7340, 269, 610, 630, 12898, 513, 521, 756, 559, 656, 264, 476, 714, 563, 292, 328, 7708, 1206, 856, 563, 272, 269, 1284, 324, 28471, 345, 708, 688, 11301, 454, 290, 22528, 560, 979, 334, 15017, 3697, 547, 5873, 873, 269, 1034, 824, 11913, 10096, 616, 6829, 676, 1797, 540, 25581, 13450, 4553, 2901, 676, 519, 634, 1152, 3597, 540, 519, 8231, 610, 676, 922, 1459, 610, 2250, 32096, 269, 586, 5622, 345, 714, 546, 3062, 1631, 14371, 305, 4456, 300, 2752, 454, 3918, 293, 4041, 311, 25893, 11553, 2177, 5495, 10064, 269, 1990, 2727, 345, 513, 3787, 682, 518, 599, 563, 11266, 2464, 7728, 28960, 32177, 20937, 269, 674, 269, 674, 269, 562, 643, 341, 584, 552, 518, 345, 546, 1002, 563, 17764, 875, 8900, 454, 4692, 560, 23524, 979, 15017, 2171, 324, 4779, 770, 569, 28471, 345, 621, 8575, 320, 2465, 23823, 1410, 8526, 616, 519, 22543, 9548, 1459, 543, 2250, 540, 519, 22566, 269, 946, 873, 1631, 269, 6201, 454, 292, 269, 594, 7708, 339, 856, 269, 543, 519, 31208, 1438, 568, 6829, 676, 519, 3597, 454, 2181, 1027, 539, 676, 519, 840, 6570, 547, 630, 1729, 334, 264, 1547, 674, 563, 25809, 1735, 519, 4865, 633, 1106, 1031, 2429, 563, 8339, 519, 16122, 5161, 3274, 540, 519, 8231, 563, 2171, 2356, 1289, 621, 2904, 1284, 1289, 873, 12271, 454, 10174, 540, 519, 8231, 538, 1312, 454, 785, 545, 894, 8591, 521, 610, 1990, 269, 744, 320, 875, 682, 518, 599, 661, 328, 1745, 345, 563, 16149, 1268, 13737, 563, 292, 328, 661, 328, 661, 328, 661, 328, 661, 328, 454, 548, 328, 802, 1932, 552, 518, 454, 341, 3073, 1080, 269, 547, 519, 2338, 543, 538, 782, 7606, 4849, 519, 454, 327, 584, 345, 1409, 938, 29992, 341, 345, 586, 3233, 29992, 341, 345, 546, 327, 584, 29992, 341, 345, 454, 10174, 540, 519, 454, 514, 3044, 2296, 563, 3891, 7125, 630, 322, 4954, 345, 994, 296, 594, 594, 594, 594, 454, 322, 4954, 345, 962, 5622, 28471, 345, 20144, 599, 28471, 345, 454, 21830, 596, 2097, 454, 322, 4954, 560, 28471, 345, 715, 563, 296, 1289, 630, 322, 4954, 994, 269, 538, 799, 519, 26694, 454, 5445, 1205, 827, 782, 1318, 563, 291, 327, 599, 1726, 714, 688, 731, 563, 5445, 2119, 2182, 563, 2026, 538, 2296, 563, 14888, 3201, 17614, 5508, 5990, 454, 301, 269, 1358, 2995, 803, 563, 292, 269, 674, 269, 20144, 599, 575, 1080, 827, 513, 592, 556, 527, 563, 303, 17129, 28960, 32177, 20937, 269, 966, 344, 5622, 890, 788, 592, 6633, 345, 621, 562, 537, 269, 20144, 599, 13071, 546, 1335, 856, 563, 291, 327, 599, 8952, 546, 1335, 454, 1729, 334, 269, 674, 269, 589, 642, 344, 5622, 546, 3107, 345, 15921, 345, 1035, 571, 553, 454, 1889, 324, 269, 20144, 599, 1100, 1794, 1932, 1134, 269, 1358, 1118, 9174, 269, 1358, 917, 1932, 1134, 269, 543, 519, 1152, 1102, 3005, 621, 3217, 568, 519, 1840, 540, 588, 610, 476, 272, 560, 538, 519, 2034, 1268, 13737, 269, 546, 563, 2492, 2066, 803, 454, 263, 24593, 547, 803, 1040, 519, 2250, 13029, 568, 3622, 4646, 676, 4946, 1196, 269, 1358, 1577, 873, 856, 269, 20144, 599, 2995, 345, 803, 324, 563, 313, 636, 28471, 345, 546, 1335, 654, 582, 546, 327, 599, 28471, 345, 454, 29442, 269, 2368, 15116, 2250, 338, 454, 301, 269, 20144, 599, 12103, 320, 2465, 802, 649, 514, 563, 1729, 334, 269, 610, 512, 547, 519, 3597, 563, 5445, 1832, 873, 454, 292, 328, 546, 684, 7224, 320, 530, 1515, 546, 327, 599, 979, 9926, 454, 3104, 1141, 789, 979, 547, 563, 288, 1906, 1919, 454, 320, 6879, 3424, 514, 269, 594, 4280, 1864, 1010, 2012, 563, 651, 696, 593, 6158, 269, 20144, 1731, 812, 15921, 555, 262, 938, 29693, 525, 269, 5781, 538, 519, 1715, 11206, 13172, 563, 763, 1459, 32096, 568, 4646, 676, 4946, 538, 547, 519, 3597, 269, 676, 4946, 610, 512, 547, 519, 3597, 563, 21865, 4776, 12089, 547, 519, 1459, 32096, 563, 292, 328, 1990, 8696, 538, 563, 289, 626, 513, 3766, 933, 514, 1932, 695, 10394, 15017, 295, 2465, 530, 9926, 513, 2914, 320, 752, 514, 1659, 12711, 2465, 563, 329, 626, 513, 22271, 599, 514, 269, 962, 5622, 524, 797, 646, 518, 900, 513, 1673, 571, 1662, 514, 563, 296, 4718, 1864, 563, 1492, 2250, 269, 28580, 752, 514, 269, 1196, 563, 301, 269, 634, 1459, 454, 6546, 781, 519, 1482, 533, 3415, 594, 4718, 454, 5445, 1832, 4657, 563, 763, 27612, 513, 454, 628, 537, 2469, 15017, 27237, 292, 269, 674, 269, 607, 1990, 599, 630, 25669, 1916, 11266, 2464, 7728, 24315, 2316, 5746, 303, 4041, 269, 674, 563, 296, 729, 1175, 6031, 269, 661, 328, 1990, 573, 679, 269, 661, 328, 1990, 8696, 530, 684, 522, 320, 586, 3233, 17993, 327, 714, 563, 310, 514, 3943, 530, 9926, 454, 292, 269, 1879, 519, 3943, 941, 4947, 563, 6518, 538, 2296, 723, 606, 12150, 2250, 32096, 269, 1019, 328, 2987, 28580, 752, 630, 339, 1779, 1916, 295, 2465, 1183, 335, 593, 454, 27237, 292, 269, 3657, 596, 2469, 547, 519, 1397, 7790, 1261, 729, 6972, 2476, 563, 2763, 345, 269, 2296, 2469, 454, 269, 546, 269, 1990, 599, 514, 1019, 328, 630, 23135, 1040, 674, 563, 335, 770, 32096, 568, 3622, 4646, 563, 1103, 32538, 519, 1459, 540, 519, 8231, 1990, 599, 6201, 454, 301, 269, 1547, 543, 972, 568, 513, 12402, 547, 946, 519, 2250, 607, 513, 2250, 32096, 1141, 538, 2296, 519, 8545, 814, 513, 1106, 540, 922, 1378, 269, 1411, 1223, 5873, 873, 4278, 4770, 269, 2296, 979, 630, 2998, 320, 1040, 674, 563, 263, 2998, 320, 532, 1040, 20144, 1731, 781, 546, 515, 1990, 320, 2801, 523, 328, 1093, 534, 599, 661, 328, 1990, 3975, 3288, 770, 9493, 518, 563, 4820, 545, 2118, 540, 979, 334, 269, 2334, 812, 3357, 547, 938, 2777, 563, 301, 269, 594, 4718, 835, 540, 707, 6690, 269, 1703, 616, 1082, 17756, 547, 713, 4341, 269, 661, 328, 513, 612, 538, 554, 714, 14255, 2801, 655, 563, 292, 269, 607, 538, 2296, 563, 14888, 3201, 17614, 5508, 5990, 454, 732, 596, 630, 691, 23524, 264, 7790, 3657, 596, 630, 691, 23524, 264, 4411, 7790, 3657, 596, 2469, 1932, 15017, 296, 917, 621, 3884, 1405, 269, 661, 328, 13520, 556, 527, 695, 1090, 323, 649, 324, 546, 515, 1071, 3716, 563, 9767, 4189, 15017, 6701, 596, 2469, 7790, 3657, 596, 4411, 7790, 3657, 596, 4947, 1753, 7790, 1548, 7504, 616, 596, 2469, 454, 295, 537, 262, 345, 1205, 339, 514, 593, 269, 594, 6415, 19914, 630, 921, 1078, 1040, 623, 269, 654, 582, 536, 626, 513, 527, 514, 15017, 289, 2465, 586, 5622, 575, 933, 514, 7790, 27392, 586, 5622, 1071, 3716, 7790, 27392, 552, 324, 524, 6058, 522, 537, 332, 7790, 654, 582, 688, 553, 13520, 586, 2465, 575, 933, 514, 1932, 454, 2171, 616, 2469, 1932, 563, 8133, 269, 570, 1342, 262, 333, 530, 3578, 621, 269, 8409, 616, 5386, 533, 23888, 269, 586, 5622, 15017, 263, 691, 23524, 264, 3478, 454, 310, 1515, 536, 626, 575, 933, 514, 7790, 670, 5622, 536, 626, 28580, 752, 514, 1932, 454, 8489, 616, 596, 630, 691, 23524, 264, 2469, 888, 732, 596, 630, 691, 23524, 264, 6158, 454, 2171, 324, 13520, 575, 933, 514, 1932, 269, 661, 328, 13520, 29693, 714, 323, 563, 1692, 536, 626, 610, 1655, 7790, 645, 626, 546, 31649, 1071, 3716, 7790, 645, 626, 546, 31649, 575, 933, 514, 1932, 15017, 13828, 530, 9926, 543, 530, 518, 616, 1031, 967, 4593, 3234, 514, 2299, 585, 1312, 2338, 543, 782, 7606, 4849, 519, 2034, 1268, 13737, 563, 323, 615, 269, 594, 6415, 3833, 1649, 3518, 539, 609, 519, 454, 6701, 891, 1434, 533, 23888, 7790, 1703, 616, 7899, 811, 8371, 269, 799, 568, 530, 739, 563, 339, 714, 269, 667, 1002, 781, 1990, 636, 905, 514, 1093, 534, 599, 345, 454, 2467, 616, 20739, 985, 827, 1934, 269, 2701, 781, 711, 693, 1753, 563, 714, 540, 519, 3791, 454, 1492, 3791, 1268, 12683, 563, 289, 2465, 546, 327, 599, 1434, 1093, 534, 599, 345, 7790, 667, 615, 13520, 3288, 1846, 4779, 541, 2909, 534, 292, 328, 536, 5593, 575, 933, 514, 269, 2701, 324, 476, 1342, 262, 333, 693, 522, 537, 332, 14371, 305, 4456, 300, 2752, 454, 291, 615, 262, 345, 15646, 345, 827, 552, 518, 269, 634, 2942, 1106, 568, 530, 9926, 262, 333, 630, 13195, 333, 1405, 1040, 898, 3884, 1405, 4502, 621, 563, 292, 328, 13520, 1071, 3716, 563, 10623, 564, 616, 4411, 563, 27237, 292, 269, 661, 328, 1100, 320, 512, 1342, 262, 333, 563, 296, 6415, 711, 2469, 563, 14888, 3201, 17614, 5508, 5990, 454, 301, 269, 1284, 324, 530, 9926, 693, 23580, 797, 563, 292, 328, 530, 518, 546, 615, 12171, 269, 674, 269, 1358, 941, 2192, 563, 312, 5622, 530, 9926, 556, 527, 269, 594, 695, 534, 1405, 979, 269, 1744, 718, 594, 979, 609, 596, 7790, 1744, 718, 596, 581, 693, 1753, 547, 2173, 528, 8894, 11004, 269, 661, 328, 3513, 979, 334, 269, 5637, 10772, 941, 2759, 1055, 563, 292, 269, 4425, 1926, 9493, 518, 345, 530, 9926, 2759, 1055, 269, 594, 4927, 269, 530, 9926, 262, 333, 454, 14367, 4064, 941, 3983, 269, 14201, 1405, 789, 454, 291, 31649, 530, 739, 546, 615, 563, 5591, 320, 269, 1358, 941, 972, 269, 530, 9926, 262, 333, 546, 31649, 286, 667, 615, 530, 9926, 513, 1434, 2367, 333, 599, 269, 14201, 1405, 454, 2467, 941, 513, 1434, 1082, 563, 292, 269, 607, 538, 2296, 563, 292, 269, 634, 2942, 1106, 568, 695, 320, 656, 543, 530, 334, 656, 563, 12663, 596, 979, 2059, 609, 454, 269, 530, 9926, 262, 333, 15017, 312, 5622, 7911, 345, 530, 9926, 454, 323, 615, 269, 674, 269, 661, 324, 530, 518, 269, 661, 328, 695, 320, 656, 979, 334, 563, 8133, 269, 32599, 531, 661, 328, 979, 334, 11097, 31649, 7790, 32599, 520, 546, 31649, 13520, 693, 522, 537, 332, 1932, 8894, 5591, 269, 20144, 599, 530, 9926, 546, 327, 1515, 269, 20144, 599, 530, 9926, 2192, 269, 634, 454, 16149, 1268, 13737, 454, 301, 269, 20144, 1731, 642, 15120, 530, 518, 513, 592, 26151, 563, 11526, 676, 519, 946, 540, 695, 320, 531, 543, 786, 454, 4433, 5568, 1793, 13899, 883, 1412, 1556, 264, 538, 1454, 519, 1482, 1259, 607, 538, 2296, 269, 1775, 714, 530, 9926, 24052, 563, 2171, 941, 693, 23580, 6229, 563, 263, 628, 537, 729, 339, 264, 972, 563, 310, 527, 546, 31649, 979, 334, 3288, 836, 522, 320, 803, 324, 15017, 6546, 9663, 2763, 729, 454, 10767, 660, 269, 14201, 1405, 596, 7790, 1411, 8695, 941, 972, 563, 30862, 2207, 22847, 311, 6579, 296, 14473, 966, 2207, 7034, 563, 292, 324, 262, 345, 10822, 16891, 1659, 12711, 2465, 563, 3891, 814, 1044, 1360, 1358, 4312, 3893, 547, 798, 454, 292, 328, 10822, 1932, 25411, 2801, 525, 18255, 269, 661, 328, 3893, 1579, 523, 909, 546, 3873, 520, 2011, 454, 295, 2465, 10822, 28580, 541, 12712, 20144, 599, 3893, 798, 334, 621, 563, 2041, 523, 547, 519, 454, 288, 592, 546, 515, 17661, 337, 331, 345, 13520, 16891, 563, 292, 269, 595, 3089, 30139, 723, 1831, 1360, 454, 5472, 519, 25277, 723, 8854, 563, 292, 269, 674, 6185, 24361, 17614, 5508, 5990, 454, 13757, 8854, 2476, 563, 27271, 1031, 3079, 454, 1993, 723, 538, 2296, 563, 296, 4312, 3893, 547, 2973, 454, 295, 320, 770, 3893, 513, 683, 604, 7790, 654, 582, 781, 1309, 520, 546, 327, 1515, 623, 454, 1432, 723, 596, 454, 22607, 770, 23524, 264, 513, 17180, 7790, 630, 327, 770, 23524, 264, 9575, 972, 15017, 324, 1030, 546, 31649, 524, 797, 560, 7790, 12794, 553, 262, 333, 546, 31649, 3893, 621, 7790, 654, 30139, 262, 333, 979, 334, 7790, 12794, 553, 262, 333, 546, 31649, 5609, 803, 328, 530, 334, 12245, 10800, 536, 719, 15017, 2998, 952, 596, 1223, 7790, 670, 13273, 1405, 596, 3893, 621, 7790, 14348, 333, 1405, 596, 979, 7790, 670, 13273, 1405, 596, 2938, 1250, 2025, 10800, 827, 15017, 263, 17647, 264, 568, 3006, 454, 27237, 292, 269, 717, 809, 5622, 345, 13520, 3893, 28580, 541, 12712, 454, 312, 5622, 798, 656, 552, 518, 562, 684, 522, 320, 546, 515, 586, 2426, 796, 345 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 11882, 5211, 269, 10251, 621, 729, 1454, 1932, 524, 13246, 727, 543, 7948, 1405, 1256, 14526, 609, 519, 661, 4471, 22575, 269, 2755, 519, 1101, 3515, 3710, 538, 519, 476, 8146, 271, 338, 941, 18445, 2933, 607, 513, 6325, 1797, 540, 6283, 711, 3025, 729, 4421, 593, 519, 1007, 325, 22931, 2029, 269, 22575, 5411, 543, 519, 4872, 789, 6039, 21787, 16456, 338, 1131, 2322, 873, 856, 540, 1870, 1247, 930, 540, 519, 1857, 14126, 827, 519, 3106, 540, 2046, 28962, 9252, 26925, 267, 21611, 543, 824, 12178, 2404, 609, 621, 269, 1452, 12194, 941, 1134, 20582, 855, 824, 811, 28457, 748, 7682, 687, 10645, 16456, 338, 941, 513, 834, 22563, 823, 540, 519, 26881, 257, 543, 1223, 2014, 513, 834, 935, 322, 15664, 540, 519, 2634, 8487, 4407, 4789, 1223, 605, 8010, 3294, 607, 4332, 2897, 540, 519, 16456, 267, 676, 476, 7277, 271, 922, 2698, 13304, 720, 630, 272, 267, 4335, 264, 1185, 1044, 2484, 20546, 539, 676, 519, 2136, 2276, 269, 21452, 267, 519, 2883, 7754, 545, 540, 476, 8146, 278, 1705, 711, 12517, 21391, 16456, 4070, 267, 7429, 2663, 538, 519, 476, 866, 628, 2540, 950, 891, 2804, 1244, 11306, 25224, 539, 2417, 4070, 269, 1306, 5892, 5941, 267, 519, 645, 261, 302, 729, 835, 540, 16456, 532, 781, 1034, 22082, 1949, 269, 4706, 1871, 538, 21722, 1007, 2553, 666, 849, 711, 581, 896, 26061, 269, 1306, 676, 31489, 32083, 543, 6424, 744, 4592, 17844, 4063, 538, 741, 1433, 267, 834, 289, 5306, 20095, 1299, 11882, 21805, 2437, 5176, 3388, 3375, 621, 1500, 729, 606, 13473, 7058, 1759, 593, 1018, 2370, 729, 1634, 827, 16456, 338, 543, 4702, 2853, 693, 519, 942, 269, 12344, 1034, 4101, 729, 14335, 513, 1697, 1318, 6361, 17574, 543, 23115, 856, 519, 22441, 7182, 543, 3446, 10335, 513, 6093, 5721, 1223, 6023, 269, 1677, 5351, 538, 713, 20089, 8030, 30774, 547, 4789, 267, 519, 4332, 2897, 540, 16456, 338, 267, 585, 2093, 7282, 4070, 543, 1655, 2853, 269, 7324, 741, 1034, 8037, 1491, 25498, 729, 3950, 15378, 282, 2296, 3515, 941, 9001, 513, 8700, 540, 476, 275, 3952, 267, 476, 279, 476, 272, 270, 273, 6279, 799, 729, 6038, 7550, 676, 519, 645, 261, 302, 563, 21132, 1985, 4305, 729, 538, 8888, 513, 3950, 3391, 3118, 585, 519, 14884, 262, 14743, 547, 1246, 269, 4495, 1586, 267, 8030, 1336, 2933, 538, 7164, 8513, 607, 789, 4603, 539, 609, 1585, 2553, 689, 6149, 3391, 1811, 609, 11308, 20832, 547, 4401, 2269, 1186, 1210, 519, 1482, 6240, 269, 1358, 5555, 4121, 519, 1655, 267, 1034, 22237, 1374, 729, 513, 11308, 11237, 18674, 609, 513, 4401, 588, 1905, 6462, 676, 11308, 31832, 560, 625, 269, 11635, 588, 1905, 986, 2812, 1705, 960, 4352, 9863, 11212, 5906, 607, 12816, 2269, 1186, 1223, 1577, 979, 4929, 519, 14686, 7613, 540, 834, 338, 333, 820, 9843, 2437, 799, 3362, 678, 5792, 998, 519, 19683, 540, 2038, 11308, 6517, 543, 544, 2727, 539, 610, 7166, 15915, 269, 7053, 267, 8030, 1185, 547, 32230, 513, 1318, 6361, 17574, 5827, 540, 7829, 713, 1007, 1106, 540, 2029, 269, 4495, 811, 267, 609, 1100, 2835, 610, 1991, 1382, 547, 3391, 873, 267, 31924, 29962, 15537, 670, 269, 7043, 540, 519, 772, 2529, 269, 8136, 945, 729, 13327, 4370, 5619, 960, 267, 543, 3627, 11936, 26427, 267, 513, 3540, 11653, 3274, 1500, 13473, 7058, 525, 269, 634, 645, 261, 302, 1131, 7620, 946, 9640, 547, 1379, 741, 14884, 609, 519, 15752, 540, 23248, 835, 1554, 15175, 547, 9252, 27668, 269, 1306, 513, 1267, 267, 26427, 543, 7043, 1031, 1360, 15061, 5515, 267, 12145, 519, 15194, 3446, 547, 513, 1360, 2463, 762, 476, 271, 269, 277, 260, 630, 528, 513, 6071, 476, 277, 6279, 540, 15038, 585, 1169, 476, 1911, 3952, 14612, 1040, 21452, 267, 2705, 267, 789, 4847, 14258, 547, 581, 5266, 8325, 693, 476, 1691, 268, 1240, 5232, 267, 23387, 519, 3259, 14884, 1131, 835, 1554, 3914, 269, 769, 519, 2104, 267, 9344, 941, 4847, 547, 581, 10169, 588, 2465, 704, 1247, 14258, 941, 4389, 563, 294, 8724, 513, 3020, 1620, 540, 2038, 16456, 1286, 1646, 666, 581, 2352, 1813, 547, 23278, 4973, 2984, 610, 1175, 30739, 25749, 269, 898, 568, 2417, 7294, 676, 519, 3668, 540, 3140, 6054, 2139, 593, 519, 1641, 269, 1403, 596, 616, 5461, 538, 713, 1641, 1614, 2835, 593, 519, 1888, 616, 513, 1590, 267, 782, 2854, 676, 3627, 670, 269, 6519, 267, 12789, 12727, 834, 763, 1977, 21805, 10426, 10152, 2961, 257, 630, 8512, 338, 594, 543, 4083, 264, 543, 834, 763, 1977, 21805, 6154, 697, 2961, 1701, 1306, 646, 4967, 267, 519, 1650, 540, 3013, 781, 1101, 18213, 6517, 3710, 689, 3942, 1723, 2851, 3788, 4922, 5143, 547, 713, 1554, 269, 769, 4641, 267, 1247, 891, 941, 6766, 689, 3942, 1723, 2851, 543, 14475, 676, 3942, 1723, 778, 26767, 267, 789, 941, 2965, 2966, 689, 519, 669, 817, 529, 909, 269, 634, 1101, 1634, 18213, 1286, 4579, 729, 13752, 547, 9400, 1955, 26792, 540, 22768, 538, 476, 9264, 279, 950, 519, 22768, 1299, 11882, 21805, 14059, 1864, 827, 3761, 519, 2754, 609, 3937, 269, 634, 1101, 267, 1759, 689, 519, 3044, 13875, 16455, 540, 519, 1554, 267, 729, 3957, 519, 27505, 518, 543, 5116, 883, 3028, 1282, 2904, 267, 476, 8146, 271, 269, 898, 729, 4553, 676, 2947, 811, 5176, 9838, 6272, 602, 1482, 4864, 269, 6176, 593, 26708, 6517, 689, 713, 1974, 568, 1256, 811, 17077, 2094, 519, 1857, 6976, 2370, 3007, 547, 971, 1919, 543, 972, 941, 1100, 8041, 538, 1747, 547, 6895, 16456, 338, 563, 763, 5892, 5018, 21081, 924, 24020, 6964, 513, 2596, 267, 18674, 11308, 6366, 8364, 2966, 676, 25373, 2917, 21563, 656, 799, 8246, 7504, 1379, 547, 3560, 519, 18899, 936, 5458, 6149, 986, 2812, 269, 11088, 267, 1282, 606, 5736, 1510, 2139, 8100, 2093, 543, 2035, 941, 10731, 269, 4340, 547, 6004, 269, 6519, 781, 1433, 267, 834, 763, 1101, 3126, 540, 6517, 941, 5645, 676, 2185, 530, 6782, 14743, 269, 634, 10007, 941, 5645, 2630, 519, 4949, 956, 593, 513, 3760, 6659, 610, 22485, 676, 513, 1688, 14617, 3094, 577, 3728, 2989, 547, 513, 11308, 959, 1380, 7406, 602, 11542, 1657, 519, 14743, 269, 1280, 971, 606, 2038, 1974, 891, 6517, 941, 1134, 18705, 267, 29656, 3710, 15333, 6877, 269, 21563, 656, 781, 1523, 9863, 865, 3811, 602, 922, 2489, 1374, 7283, 24240, 2394, 519, 3312, 21081, 924, 24020, 1062, 729, 14460, 538, 476, 5908, 277, 269, 769, 476, 8146, 271, 267, 543, 2429, 602, 8717, 1034, 26708, 729, 16487, 538, 2901, 513, 6366, 8364, 267, 513, 2241, 575, 1180, 7637, 630, 288, 2241, 6366, 8364, 609, 2110, 5011, 547, 3180, 17078, 3429, 1496, 325, 516, 697, 3910, 621, 568, 811, 4122, 1634, 607, 519, 575, 1180, 7637, 2221, 269, 634, 1101, 568, 20295, 547, 519, 22768, 1299, 11882, 540, 476, 8146, 273, 799, 5219, 547, 621, 607, 513, 834, 4148, 712, 1286, 257, 2094, 621, 17411, 29054, 540, 7912, 13776, 610, 606, 2038, 1826, 540, 5577, 704, 1634, 607, 513, 834, 329, 9404, 773, 1701, 634, 8545, 15866, 17411, 16320, 2350, 924, 5755, 267, 971, 607, 519, 1507, 267, 476, 272, 267, 7785, 1790, 895, 6272, 1336, 593, 519, 2274, 14683, 15021, 1299, 32522, 7577, 693, 31410, 577, 932, 6064, 267, 12425, 269, 1452, 1507, 6517, 1223, 6023, 827, 476, 274, 267, 1822, 6550, 1142, 543, 16487, 16320, 2350, 924, 5755, 689, 1930, 1790, 527, 15183, 2282, 31410, 577, 932, 6064, 936, 513, 476, 280, 28902, 267, 476, 5655, 20878, 15378, 16456, 547, 519, 2274, 14683, 5211, 1141, 519, 1587, 729, 5645, 593, 547, 9456, 2798, 971, 607, 15740, 269, 1306, 519, 476, 7277, 271, 781, 546, 1177, 2740, 267, 16456, 338, 941, 4742, 513, 19618, 3060, 855, 1454, 960, 7283, 693, 3964, 513, 1062, 5827, 540, 3608, 267, 954, 8063, 3028, 269, 12709, 15955, 21805, 3778, 15955, 634, 22073, 0, 763, 21836, 540, 2947, 1453, 538, 513, 1647, 11665, 1920, 267, 27262, 19258, 517, 729, 4535, 593, 8285, 4303, 476, 9264, 272, 538, 10228, 267, 12590, 269, 4014, 1352, 729, 13473, 693, 1753, 267, 27262, 3459, 3450, 1153, 9887, 693, 519, 2085, 540, 19939, 538, 1585, 10026, 3506, 538, 12590, 543, 1715, 14948, 1063, 519, 1296, 476, 8146, 277, 543, 476, 6977, 275, 269, 13405, 547, 519, 6406, 2782, 267, 27262, 781, 1034, 29810, 9740, 729, 519, 10661, 540, 513, 1863, 1857, 1153, 538, 645, 867, 550, 1144, 267, 1715, 14948, 269, 3958, 267, 1200, 1152, 2564, 1995, 1991, 547, 519, 2112, 729, 950, 1352, 25374, 585, 1200, 23380, 7015, 6424, 585, 1079, 1296, 563, 4263, 519, 12176, 540, 519, 6406, 2782, 267, 27262, 5030, 538, 6115, 267, 667, 5861, 1421, 1141, 1352, 5249, 693, 519, 772, 2529, 269, 30171, 8433, 269, 11374, 519, 22768, 681, 328, 1824, 267, 2390, 519, 476, 277, 628, 12590, 31118, 21945, 538, 6115, 267, 621, 729, 27262, 945, 6896, 513, 8323, 1982, 585, 519, 7980, 267, 4358, 1200, 15400, 4876, 607, 513, 12016, 543, 19493, 563, 9515, 729, 519, 28013, 543, 13653, 540, 519, 1977, 4414, 9061, 269, 589, 1390, 12092, 602, 2982, 1200, 1416, 543, 6161, 585, 519, 10304, 540, 1866, 563, 296, 960, 585, 513, 1876, 6109, 538, 1937, 31569, 267, 12590, 267, 799, 729, 8547, 676, 27262, 19258, 517, 781, 23013, 594, 571, 18703, 19258, 517, 538, 476, 9264, 273, 269, 1284, 616, 519, 9510, 1876, 6109, 538, 1937, 31569, 269, 3733, 674, 3305, 568, 1360, 10583, 540, 621, 781, 1686, 543, 3838, 519, 4276, 547, 27262, 19258, 517, 609, 803, 1250, 1101, 1554, 693, 960, 563, 296, 723, 513, 2370, 1433, 602, 814, 476, 1911, 1004, 945, 8032, 3013, 538, 621, 267, 543, 1352, 781, 835, 540, 873, 269, 898, 3947, 2370, 6256, 1344, 269, 1358, 2141, 2285, 1079, 2370, 9642, 3440, 5013, 693, 519, 1439, 540, 519, 5758, 563, 28347, 12493, 2322, 19258, 517, 267, 1634, 607, 519, 19664, 540, 519, 11135, 7615, 267, 538, 5279, 540, 29466, 7508, 2367, 689, 519, 5742, 7952, 268, 543, 1352, 1336, 5215, 563, 9515, 18617, 3013, 547, 1129, 519, 25611, 15716, 538, 476, 6642, 273, 267, 799, 2488, 3652, 585, 519, 4023, 2126, 540, 1346, 20754, 610, 7166, 1282, 2112, 563, 4692, 596, 4952, 2348, 971, 513, 2462, 1764, 593, 519, 1158, 286, 634, 7022, 6785, 1200, 267, 543, 1352, 1185, 513, 1688, 538, 865, 1082, 1919, 538, 938, 1686, 269, 2334, 781, 865, 5863, 547, 803, 269, 23883, 3257, 782, 713, 693, 513, 942, 950, 2021, 1373, 3742, 3544, 519, 1753, 7012, 1405, 6743, 2390, 609, 11419, 563, 2171, 1964, 27262, 19258, 517, 547, 2671, 4277, 1249, 689, 2250, 2053, 912, 9213, 568, 281, 476, 2537, 6113, 5239, 630, 14875, 307, 1070, 538, 1686, 593, 519, 476, 2537, 6113, 540, 5239, 267, 476, 6245, 271, 5084, 519, 1739, 2669, 5949, 912, 298, 28328, 631, 631, 7638, 26245, 281, 674, 12661, 880, 10266, 614, 1315, 8642, 7376, 0, 3528, 594, 3960, 328, 1215, 749, 454, 8340, 856, 827, 18335, 609, 713, 1187, 543, 2502, 1101, 1344, 1433, 269, 11762, 1331, 519, 2197, 781, 11585, 267, 2101, 4872, 267, 1004, 543, 4277, 4025, 269, 1280, 1453, 1739, 3883, 645, 1343, 267, 621, 568, 5078, 585, 1453, 2542, 693, 6512, 476, 279, 267, 13711, 7868, 27084, 11370, 3960, 3126, 267, 585, 2085, 476, 276, 31956, 2337, 1453, 1020, 741, 1702, 543, 1620, 540, 519, 1158, 676, 8720, 513, 2647, 2039, 540, 3584, 538, 513, 1187, 267, 7990, 995, 543, 7317, 1259, 269, 634, 2835, 723, 513, 18512, 1374, 267, 2502, 1257, 543, 6337, 267, 2055, 547, 1205, 1453, 3206, 543, 6158, 543, 3450, 4967, 269, 3962, 2140, 568, 2854, 538, 14966, 609, 513, 7924, 22639, 543, 2934, 1433, 6512, 5583, 543, 4647, 762, 2534, 9212, 2228, 563, 3528, 6754, 9412, 9116, 454, 5804, 32665, 6628, 547, 519, 476, 2641, 560, 11416, 267, 2831, 723, 9863, 606, 1271, 851, 540, 3703, 2729, 689, 5026, 543, 10617, 547, 10130, 543, 1426, 2504, 269, 6904, 2831, 941, 1500, 17255, 543, 799, 723, 1044, 32543, 22004, 286, 1548, 3361, 519, 4563, 12280, 286, 6904, 4622, 5293, 513, 1876, 602, 9415, 3025, 547, 6968, 2831, 538, 519, 3552, 286, 4208, 729, 519, 8486, 533, 3415, 1898, 585, 5755, 2173, 1456, 286, 2353, 891, 2055, 543, 1082, 811, 616, 8268, 538, 713, 4241, 2272, 540, 6628, 781, 1686, 998, 2831, 7868, 1433, 568, 851, 540, 1412, 288, 1686, 540, 6628, 538, 476, 1321, 3267, 3299, 513, 3126, 799, 12116, 476, 1321 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7133, 27575, 3693, 476, 1015, 269, 5047, 267, 606, 954, 8306, 476, 1839, 666, 581, 3177, 538, 519, 9018, 835, 540, 9764, 14034, 476, 279, 563, 1103, 13076, 609, 16658, 306, 269, 476, 1428, 543, 476, 1626, 267, 9300, 2212, 476, 272, 568, 3177, 609, 1079, 8220, 23049, 476, 2918, 538, 513, 23643, 6438, 11460, 269, 634, 23049, 8831, 1472, 513, 2582, 8220, 31455, 476, 2767, 799, 568, 513, 851, 540, 9300, 2212, 6712, 476, 273, 269, 901, 11460, 2488, 811, 2230, 585, 9591, 5122, 4296, 1510, 519, 991, 585, 2810, 519, 4320, 540, 519, 9300, 269, 898, 814, 2417, 1044, 1336, 547, 581, 25368, 547, 1683, 8220, 23049, 476, 2918, 543, 476, 2767, 609, 513, 9764, 24263, 476, 2764, 799, 14687, 609, 513, 9764, 12424, 476, 3066, 538, 9300, 6712, 476, 273, 269, 6270, 5180, 902, 543, 12424, 525, 949, 581, 11368, 883, 519, 824, 12589, 9323, 540, 519, 8798, 267, 5941, 23954, 629, 913, 269, 1306, 5145, 1194, 8220, 23049, 476, 2918, 267, 476, 2767, 267, 476, 275, 267, 543, 476, 276, 1106, 513, 4745, 12718, 476, 1789, 563, 20983, 306, 269, 476, 1704, 543, 476, 1240, 14550, 606, 20032, 540, 519, 8798, 13296, 9300, 2212, 6712, 476, 272, 543, 5365, 3977, 6712, 476, 273, 1142, 2270, 2789, 8220, 23049, 476, 4029, 269, 769, 713, 20032, 267, 519, 11836, 540, 9300, 13980, 476, 272, 543, 476, 273, 676, 519, 17727, 3058, 540, 741, 9757, 23049, 267, 607, 3254, 538, 16658, 269, 476, 1704, 267, 3029, 513, 4745, 12718, 476, 1789, 563, 20983, 269, 476, 866, 14550, 602, 513, 4745, 7852, 666, 581, 4646, 676, 513, 3044, 3684, 17684, 476, 3953, 2348, 513, 2212, 476, 3451, 799, 26520, 593, 9300, 6712, 476, 272, 267, 543, 799, 568, 9395, 2989, 676, 513, 2428, 476, 4097, 799, 26520, 1996, 5365, 3977, 6712, 476, 273, 269, 1323, 4835, 27575, 3693, 476, 3374, 20910, 519, 1079, 9300, 13980, 538, 519, 1858, 540, 519, 28728, 532, 3693, 269, 1306, 3254, 538, 519, 4137, 267, 28728, 532, 17684, 476, 3953, 11579, 6233, 998, 1312, 9300, 13980, 3842, 513, 8559, 476, 3607, 563, 20983, 269, 476, 736, 2982, 606, 20032, 540, 519, 8798, 13296, 513, 512, 11474, 8559, 476, 4391, 568, 11231, 538, 9300, 6712, 476, 273, 267, 543, 30283, 2428, 476, 4097, 269, 769, 713, 20032, 267, 621, 568, 849, 2009, 547, 3035, 519, 4276, 676, 1797, 540, 513, 28728, 532, 30021, 476, 4343, 267, 607, 3254, 538, 16658, 269, 476, 2641, 269, 4935, 267, 519, 2212, 540, 28728, 532, 30021, 476, 4375, 568, 26356, 538, 519, 4965, 538, 9300, 6712, 476, 272, 267, 3079, 540, 2212, 476, 3451, 3254, 538, 16658, 269, 476, 866, 269, 16658, 269, 476, 2641, 2982, 513, 7484, 1606, 7428, 476, 2412, 2348, 513, 3444, 18921, 607, 519, 28728, 532, 3693, 799, 3217, 519, 1747, 540, 2428, 476, 4097, 269, 769, 16658, 269, 476, 2420, 267, 606, 13412, 4276, 568, 6913, 676, 29780, 513, 16509, 5614, 476, 6078, 269, 16658, 269, 476, 2537, 2982, 513, 16509, 5614, 476, 5655, 1031, 607, 519, 4745, 7852, 269, 589, 5614, 2212, 476, 6246, 540, 519, 16509, 5614, 568, 5116, 538, 4965, 476, 4510, 538, 9300, 6712, 476, 272, 269, 1306, 3254, 538, 16658, 269, 476, 2190, 267, 519, 5614, 5911, 568, 18761, 1394, 693, 606, 1439, 476, 3393, 865, 607, 547, 1106, 513, 16147, 2066, 519, 8006, 540, 519, 16509, 5614, 269, 769, 713, 6073, 267, 513, 17684, 323, 18182, 18921, 476, 5379, 568, 3812, 269, 634, 8142, 1439, 476, 5325, 540, 16509, 5614, 476, 5655, 666, 581, 3458, 14954, 883, 8142, 476, 4366, 538, 513, 8220, 31455, 267, 607, 3254, 538, 16658, 269, 476, 2537, 563, 20983, 306, 269, 476, 1839, 268, 3451, 9414, 513, 2027, 20032, 540, 519, 8798, 2348, 513, 20425, 9018, 7387, 476, 5392, 593, 799, 23295, 513, 8142, 568, 2759, 269, 32190, 2212, 6712, 476, 272, 814, 23643, 11057, 8220, 23049, 476, 2918, 799, 4497, 2582, 8220, 31455, 476, 2767, 269, 634, 10167, 540, 519, 4745, 7852, 476, 274, 609, 519, 19976, 7852, 476, 2004, 585, 519, 9300, 11460, 568, 11280, 607, 476, 7906, 269, 634, 3544, 32725, 540, 519, 1079, 23049, 616, 11280, 476, 7367, 269, 1306, 3254, 538, 16658, 269, 476, 2918, 267, 513, 530, 8354, 11057, 2759, 476, 7871, 568, 3177, 593, 1312, 5011, 540, 4745, 7852, 476, 274, 865, 607, 547, 11863, 9300, 2212, 476, 272, 547, 18711, 2476, 689, 5365, 3977, 6712, 476, 273, 676, 476, 3445, 5232, 269, 769, 713, 20032, 267, 530, 8354, 7252, 476, 7918, 540, 9300, 2212, 476, 272, 26520, 1996, 530, 8354, 7252, 476, 4649, 540, 5365, 3977, 6712, 476, 273, 267, 607, 3254, 538, 16658, 269, 476, 4029, 269, 898, 568, 6190, 547, 1683, 519, 530, 8354, 11057, 11912, 476, 7871, 1152, 593, 835, 2427, 540, 519, 9300, 267, 2094, 519, 476, 3445, 4110, 2990, 666, 849, 581, 11843, 547, 519, 824, 2427, 676, 7432, 519, 9300, 827, 922, 19976, 7852, 269, 4595, 519, 530, 8354, 11057, 11912, 616, 3177, 593, 1152, 835, 2427, 267, 519, 21266, 1154, 540, 9300, 2212, 6712, 476, 272, 3448, 547, 5365, 3977, 6712, 476, 273, 267, 1510, 28728, 532, 519, 4745, 7852, 267, 666, 581, 15286, 676, 3138, 657, 2287, 543, 3728, 2287, 513, 2428, 476, 6321, 538, 519, 25610, 540, 4745, 7852, 476, 274, 269, 1306, 513, 1267, 540, 519, 530, 8354, 11057, 11912, 267, 1100, 2230, 568, 4503, 585, 8220, 519, 9300, 2212, 6712, 547, 519, 5365, 3977, 6712, 267, 1317, 519, 2407, 5858, 585, 519, 8220, 26423, 568, 12873, 269, 634, 8006, 540, 519, 4745, 5858, 14687, 547, 519, 8006, 540, 519, 9300, 3294, 269, 769, 824, 1913, 267, 519, 9300, 2212, 6712, 543, 519, 9300, 3977, 6712, 1142, 723, 519, 1482, 8006, 563, 763, 12589, 9323, 540, 519, 8798, 3254, 538, 16658, 306, 269, 476, 4097, 268, 5655, 3858, 538, 6240, 609, 519, 12589, 9323, 540, 16658, 306, 269, 476, 272, 268, 1691, 267, 3226, 16658, 306, 269, 476, 1015, 268, 1691, 269, 769, 519, 12589, 9323, 540, 16658, 306, 269, 476, 4097, 268, 5655, 267, 2705, 267, 2027, 12632, 616, 3177, 585, 27575, 3693, 476, 1015, 269, 634, 9764, 8258, 11057, 27575, 3693, 693, 9300, 2212, 6712, 476, 272, 267, 2687, 547, 16658, 306, 269, 476, 4097, 543, 476, 3374, 267, 814, 513, 530, 8354, 11057, 3444, 16687, 476, 6872, 269, 589, 530, 8354, 11057, 12424, 476, 6812, 568, 3177, 538, 5365, 3977, 6712, 476, 273, 267, 543, 814, 513, 10169, 811, 8650, 530, 8354, 5086, 865, 602, 621, 568, 20399, 1927, 538, 513, 6073, 3254, 538, 16658, 269, 476, 4343, 269, 1879, 519, 1079, 9300, 13980, 616, 8678, 267, 519, 13021, 568, 12913, 269, 16658, 306, 269, 476, 3607, 543, 476, 4375, 1397, 606, 20032, 13296, 27575, 3693, 476, 1015, 814, 513, 12931, 1844, 983, 3444, 16687, 269, 634, 20282, 12424, 538, 519, 824, 9300, 6712, 568, 11338, 27358, 547, 581, 10169, 4130, 267, 865, 602, 519, 12705, 799, 2164, 689, 971, 606, 6278, 14687, 547, 16658, 269, 476, 4375, 269, 16658, 306, 269, 476, 4391, 543, 476, 2412, 1397, 519, 1374, 540, 519, 27575, 3693, 9001, 513, 25671, 18042, 9043, 269, 769, 713, 20032, 267, 519, 25671, 18042, 12424, 568, 27358, 547, 581, 4130, 865, 602, 1166, 3471, 476, 6795, 540, 519, 25671, 1355, 616, 20399, 1996, 7222, 2427, 6821, 476, 2568, 540, 519, 12424, 563, 1103, 519, 20032, 540, 16658, 306, 269, 476, 6078, 543, 476, 5655, 267, 513, 798, 557, 18571, 11057, 27575, 18921, 568, 4646, 693, 835, 9300, 6712, 865, 602, 621, 1590, 26882, 883, 519, 824, 6712, 269, 634, 3444, 16687, 540, 519, 27575, 6679, 1590, 4061, 723, 513, 4130, 13675, 8700, 982, 519, 8700, 540, 519, 798, 557, 18571, 540, 519, 13021, 269, 901, 3340, 519, 798, 557, 18571, 13021, 610, 519, 8728, 540, 519, 12424, 547, 581, 13412, 971, 602, 519, 798, 557, 18571, 666, 26882, 883, 519, 12424, 269, 769, 713, 2543, 267, 621, 568, 3226, 25368, 547, 1683, 5614, 17534, 476, 8618, 593, 27575, 3693, 476, 1015, 269, 634, 5614, 17534, 616, 4646, 6823, 543, 723, 513, 25671, 18042, 3444, 16687, 269, 634, 8728, 540, 519, 25671, 18042, 12424, 585, 519, 27575, 3693, 616, 849, 3177, 609, 5614, 17534, 476, 7830, 267, 607, 3254, 538, 16658, 269, 476, 5655, 267, 865, 602, 18374, 513, 5595, 2978, 31307, 13021, 568, 5833, 950, 519, 2818, 540, 519, 13021, 616, 7722, 269, 11354, 17534, 476, 8618, 26520, 1996, 606, 896, 12827, 6712, 476, 8287, 540, 519, 25671, 18042, 9043, 540, 18921, 476, 5038, 269, 11354, 17534, 476, 7830, 1106, 513, 13021, 609, 8405, 476, 4792, 540, 519, 25671, 18042, 27575, 3693, 476, 1015, 269, 634, 5614, 17534, 616, 4646, 538, 513, 2241, 6073, 950, 519, 9300, 568, 9087, 3139, 2987, 676, 7533, 29706, 17371, 269, 901, 568, 6913, 676, 513, 5078, 16369, 540, 519, 22786, 538, 713, 3148, 269, 769, 519, 1459, 8798, 267, 519, 8220, 1797, 538, 4745, 7852, 476, 274, 666, 4781, 958, 581, 7006, 10234, 609, 269, 634, 1079, 9300, 13980, 666, 581, 8678, 1927, 538, 2259, 676, 513, 26882, 2987, 4276, 799, 8195, 3029, 519, 13021, 563, 1103, 519, 20032, 540, 16658, 269, 476, 6078, 267, 519, 25671, 18042, 27575, 3693, 568, 11231, 693, 9300, 2212, 6712, 476, 272, 543, 538, 519, 2143, 5373, 540, 16658, 269, 476, 5655, 267, 693, 519, 5365, 3977, 6712, 476, 273, 269, 589, 2417, 7872, 585, 7006, 14819, 609, 2027, 28728, 532, 25336, 610, 28728, 532, 2609, 799, 1106, 519, 4745, 7852, 568, 3254, 538, 519, 20032, 540, 16658, 306, 269, 476, 6246, 543, 476, 4510, 269, 769, 713, 20032, 267, 513, 23643, 6438, 5614, 476, 5780, 267, 799, 949, 581, 2966, 607, 513, 6978, 5614, 267, 568, 9087, 3139, 538, 519, 7533, 17371, 883, 519, 23643, 11057, 8220, 23049, 476, 2918, 269, 4935, 267, 519, 23643, 512, 1149, 476, 2918, 616, 20399, 883, 519, 2582, 8220, 31455, 476, 2767, 3842, 27575, 3693, 476, 1015, 607, 1134, 607, 3842, 9764, 14034, 476, 279, 610, 9764, 8258, 12415, 476, 280, 269, 634, 598, 673, 1486, 6350, 687, 476, 6858, 666, 1683, 519, 1246, 518, 2962, 538, 4745, 7852, 476, 279, 952, 519, 5583, 676, 27575, 3693, 476, 1015, 568, 711, 16363, 547, 581, 6190, 563, 1103, 13076, 609, 519, 8798, 267, 513, 2241, 4276, 1063, 1079, 610, 811, 9300, 13980, 568, 3177, 267, 799, 666, 581, 9112, 18374, 1510, 3606, 4674, 1210, 8465, 18364, 543, 9087, 5446, 2987, 2553, 269, 29706, 7533, 17371, 568, 23295, 1031, 538, 519, 9087, 5446, 2987, 4480, 585, 519, 2601, 602, 1100, 5094, 24450, 540, 513, 27575, 3693, 568, 2556, 269, 4935, 267, 519, 946, 543, 5478, 540, 513, 20177, 9300, 11460, 568, 19658, 269, 5047, 267, 713, 11460, 14998, 519, 9300, 547, 581, 20218, 538, 18374, 1022, 3210, 4287, 1510, 519, 991, 585, 2027, 8066, 1797, 972, 1721, 563, 7212, 519, 8798, 814, 1044, 4330, 538, 2474, 540, 1808, 12589, 9323, 543, 3156, 267, 621, 568, 547, 581, 6956, 602, 7606, 9952, 538, 519, 1148, 267, 538, 1769, 540, 713, 3450, 267, 666, 1374, 3606, 12589, 9323, 1510, 8977, 532, 689, 519, 6891, 610, 23630, 519, 9165, 540, 519, 10645, 8798, 269, 22353, 267, 621, 568, 547, 581, 6956, 602, 519, 12400, 543, 11673, 538, 713, 23930, 616, 605, 742, 1229, 547, 7520, 8223, 540, 519, 8798, 543, 1058, 711, 581, 1526, 29471, 547, 3970, 519, 9165, 23476, 563, 272, 269, 589, 4287, 25259, 9300, 2348, 513, 1101, 9300, 6712, 4448, 547, 513, 2034, 9300, 6712, 693, 513, 2220, 633, 331, 4745, 267, 519, 2220, 633, 331, 4745, 1373, 4646, 540, 513, 31455, 4276, 693, 799, 519, 9300, 13980, 616, 4371, 538, 513, 5551, 5086, 540, 10047, 2990, 538, 513, 23649, 799, 568, 4232, 23534, 827, 513, 2417, 7852, 13902, 547, 519, 7852, 540, 519, 4745, 267, 519, 9300, 13980, 1373, 30788, 4448, 547, 835, 1776, 267, 519, 11460, 2417, 16030, 912, 268, 693, 2547, 13980, 540, 9764, 14034, 11231, 3492, 29182, 827, 519, 4745, 7852, 267, 1767, 13980, 540, 1767, 9764, 14034, 1373, 16119, 4448, 547, 519, 8220, 23049, 3248, 268, 27575, 1797, 11231, 593, 693, 2547, 835, 540, 519, 23049, 585, 11700, 3151, 519, 856, 25958, 835, 540, 1767, 9764, 14034, 3248, 268, 5547, 4604, 1797, 11231, 538, 693, 2547, 835, 540, 1767, 9300, 13980, 3248, 268, 693, 2547, 835, 5122, 5057, 11231, 593, 1767, 5547, 4604, 282, 543, 454, 268, 5122, 8220, 2609, 11231, 593, 1767, 5547, 4604, 585 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 22139, 540, 519, 4279, 20463, 6013, 519, 8225, 1744, 1752, 267, 513, 1360, 3504, 27230, 4183, 602, 12217, 17020, 539, 11635, 19725, 630, 289, 9281, 1040, 4813, 539, 476, 275, 547, 476, 273, 269, 276, 5479, 1296, 3516, 267, 645, 9281, 568, 1851, 3047, 779, 9510, 4224, 21272, 269, 2368, 645, 9281, 3568, 15455, 540, 3047, 779, 9998, 1272, 267, 588, 668, 520, 565, 2572, 267, 799, 941, 13479, 1319, 338, 4646, 593, 3504, 15798, 269, 769, 2487, 10979, 12698, 267, 519, 22260, 602, 1085, 10696, 519, 8225, 1744, 1752, 4547, 7725, 5627, 645, 9281, 543, 588, 668, 520, 565, 2572, 547, 519, 7013, 24528, 540, 519, 4279, 20463, 563, 22498, 779, 3131, 14651, 30024, 15354, 593, 9370, 593, 5988, 476, 1240, 267, 476, 1708, 272, 269, 4706, 5692, 267, 538, 851, 267, 568, 547, 1413, 585, 588, 668, 520, 565, 2572, 269, 1215, 18822, 594, 993, 547, 1265, 3504, 645, 9281, 5627, 588, 668, 520, 565, 2572, 2059, 8235, 12309, 779, 19382, 11076, 563, 4462, 17769, 946, 568, 19275, 0, 19751, 476, 1724, 267, 476, 1708, 273, 454, 273, 1295, 1224, 454, 288, 3461, 779, 2085, 267, 10335, 540, 2589, 267, 1297, 540, 3105, 6677, 21631, 543, 1920, 1686, 540, 17867, 4713, 941, 2404, 609, 513, 991, 585, 3606, 1416, 1354, 2875, 9845, 609, 6677, 15664, 1223, 2132, 547, 1404, 563, 291, 537, 6921, 553, 623, 269, 6833, 787, 267, 12854, 267, 513, 5778, 17595, 6048, 693, 519, 22505, 19270, 15664, 4741, 693, 966, 6387, 321, 2830, 2160, 538, 27850, 6807, 267, 570, 3317, 1421, 543, 9164, 8179, 547, 2697, 4632, 2404, 609, 3606, 6677, 15664, 16758, 11564, 1354, 513, 2875, 19002, 779, 5305, 547, 606, 18942, 26519, 269, 634, 3173, 4080, 741, 4681, 538, 519, 11916, 4750, 540, 11846, 6925, 563, 2108, 289, 5802, 569, 6340, 267, 476, 5952, 260, 547, 476, 3445, 260, 540, 2875, 9845, 1491, 476, 274, 4374, 610, 1447, 547, 24802, 9156, 689, 741, 6677, 15664, 543, 2154, 8766, 2564, 6304, 2223, 519, 4589, 5206, 563, 24404, 787, 543, 9164, 5342, 513, 24794, 8826, 20165, 1353, 1851, 2550, 9907, 476, 1321, 547, 476, 2537, 1296, 945, 4843, 609, 513, 5026, 5829, 6677, 15664, 689, 3967, 269, 476, 1556, 267, 476, 1001, 278, 267, 998, 3967, 269, 476, 1015, 267, 476, 1708, 271, 267, 543, 941, 26809, 547, 606, 18942, 26519, 563, 763, 4589, 3379, 1346, 945, 941, 26809, 547, 606, 18942, 26519, 1310, 741, 3355, 16758, 3643, 609, 1346, 945, 4682, 547, 3606, 16758, 11564, 1354, 741, 5305, 547, 513, 26519, 269, 589, 2550, 685, 2085, 267, 3023, 267, 3355, 3643, 10835, 6060, 267, 1920, 543, 2123, 1686, 540, 17867, 4524, 543, 26043, 267, 607, 1134, 607, 1686, 540, 1991, 6677, 15664, 941, 12290, 563, 288, 2698, 540, 476, 276, 2190, 2550, 941, 3769, 538, 519, 2079, 2443, 476, 26951, 941, 26809, 1310, 741, 3355, 16758, 3643, 282, 476, 25971, 2550, 2838, 3606, 16758, 11564, 563, 8170, 1346, 945, 1185, 3606, 16758, 11564, 1354, 741, 5305, 267, 519, 3173, 4080, 513, 2362, 3355, 10835, 6060, 267, 811, 7928, 2212, 9196, 267, 513, 1920, 1686, 540, 17867, 4713, 610, 26043, 267, 513, 7820, 2085, 543, 811, 7928, 6677, 21631, 950, 3379, 609, 1346, 945, 4607, 1175, 835, 16758, 3643, 563, 1103, 513, 2789, 4756, 2203, 267, 1920, 1686, 540, 17867, 2068, 630, 3036, 815, 476, 274, 269, 1321, 282, 476, 4817, 260, 16275, 267, 476, 272, 269, 7871, 268, 277, 269, 4097, 1070, 1991, 6677, 21631, 630, 3036, 815, 476, 272, 269, 4375, 282, 476, 4817, 260, 16275, 267, 476, 272, 269, 6349, 268, 272, 269, 8660, 1070, 3152, 3355, 10835, 6060, 630, 3036, 815, 476, 272, 269, 4962, 282, 476, 4817, 260, 16275, 267, 476, 272, 269, 6734, 268, 272, 269, 4962, 264, 543, 7820, 2085, 630, 3036, 815, 476, 271, 269, 9262, 282, 476, 4817, 260, 16275, 267, 476, 271, 269, 6507, 268, 271, 269, 9032, 264, 941, 9244, 2404, 609, 3606, 11564, 267, 519, 4589, 4080, 563, 2108, 18893, 2711, 6677, 15664, 1416, 1058, 2569, 519, 8458, 540, 7092, 1279, 3856, 8801, 4539, 610, 10024, 2132, 3562, 25178, 10873, 16349, 569, 2223, 6833, 787, 1767, 538, 513, 2046, 5305, 689, 519, 4760, 779, 17404, 269, 968, 15447, 1578, 540, 1713, 4632, 2404, 609, 3606, 16758, 11564, 949, 3565, 547, 1732, 6788, 6956, 676, 2550, 543, 741, 3885, 1282, 519, 6051, 1184, 3034, 7617, 2875, 268, 987, 2280, 525, 666, 581, 9108, 5950, 547, 606, 18942, 26519, 1310, 6677, 15664, 286, 4179, 2517, 4178, 269, 2908, 1873, 1047, 2593, 270, 14895, 270, 6518, 24713, 550, 268, 987, 2280, 525, 2275, 534, 15515, 1606, 12522, 569, 3146, 548, 1078, 3562, 12845, 268, 987, 2280, 545, 2389, 1778, 518, 8584, 1123, 8410, 322, 15664, 286, 2675, 284, 323, 3369, 337, 261, 15383, 284, 1911, 5881, 275, 4343, 269, 15618, 4239, 269, 476, 275, 267, 476, 1708, 273, 269, 21700, 4239, 269, 476, 1724, 267, 476, 1708, 273, 269, 0, 5475, 811, 982, 513, 1032, 540, 24187, 267, 7092, 543, 2669, 267, 972, 779, 1044, 835, 26124, 1769, 538, 713, 6855, 1107, 519, 4028, 1374, 540, 1896, 3810, 2500, 10074, 563, 307, 709, 7632, 2404, 609, 519, 5066, 719, 540, 519, 10074, 723, 1044, 1776, 2339, 267, 1018, 609, 5663, 2591, 267, 22520, 543, 519, 31464, 1145, 540, 1082, 547, 1491, 519, 6669, 267, 3976, 6650, 3739, 4126, 540, 8236, 23636, 12046, 563, 3719, 972, 779, 513, 5198, 2469, 593, 609, 713, 3644, 1107, 666, 649, 3945, 3729, 2614, 1004, 5001, 3533, 2614, 547, 2061, 519, 11944, 540, 14726, 602, 856, 342, 527, 519, 1459, 10074, 888, 5472, 8290, 10929, 13592, 543, 267, 607, 8290, 979, 267, 713, 835, 4573, 919, 5266, 7444, 269, 4107, 13592, 616, 9243, 281, 789, 1810, 1406, 1860, 519, 8897, 609, 799, 519, 3644, 19082, 610, 519, 10335, 540, 519, 3968, 563, 3719, 950, 267, 607, 538, 713, 2013, 267, 519, 3644, 9060, 865, 1082, 14747, 1472, 519, 1158, 267, 19692, 610, 2663, 930, 540, 1346, 13592, 786, 6961, 547, 581, 5906, 1317, 789, 1118, 621, 4443, 585, 519, 3644, 547, 3262, 267, 1118, 519, 3644, 811, 24037, 610, 948, 519, 3644, 547, 9101, 6923, 610, 6669, 9715, 12046, 610, 10659, 540, 1346, 1614, 3681, 563, 6546, 779, 10502, 1018, 779, 5949, 609, 713, 3644, 269, 10738, 513, 1906, 3275, 267, 1896, 14726, 7902, 602, 9863, 547, 581, 3810, 18993, 24777, 269, 769, 519, 2665, 540, 519, 772, 14389, 1421, 3162, 3979, 543, 19384, 14726, 267, 789, 941, 811, 2205, 12040, 269, 634, 5920, 540, 519, 772, 14389, 269, 14583, 538, 1880, 729, 4440, 519, 2601, 585, 519, 4028, 21782, 538, 2665, 7620, 538, 519, 772, 14389, 269, 543, 4166, 27502, 538, 2342, 267, 519, 772, 2529, 1421, 4516, 543, 1631, 3127, 563, 7197, 14726, 4125, 513, 4999, 540, 1079, 610, 811, 13592, 267, 799, 1860, 519, 3644, 685, 21782, 5946, 543, 8754, 519, 8897, 609, 799, 519, 26389, 9376, 5196, 519, 3984, 1591, 779, 31984, 268, 273, 13364, 543, 1930, 519, 1591, 779, 9703, 547, 519, 3644, 563, 5629, 972, 267, 519, 3644, 10717, 1164, 329, 2931, 519, 1591, 779, 12227, 547, 1118, 5215, 540, 12215, 540, 519, 3644, 267, 1354, 6368, 16802, 532, 519, 1591, 543, 16089, 1346, 12215, 883, 519, 10009, 563, 3383, 2484, 267, 519, 13592, 543, 14726, 723, 8959, 547, 3648, 2569, 519, 4791, 7145, 540, 519, 1699, 7693, 540, 10074, 1107, 602, 568, 267, 519, 1981, 540, 30674, 610, 513, 3978, 2013, 540, 5046, 269, 1809, 5693, 602, 779, 2009, 538, 519, 2104, 543, 519, 2601, 1946, 9755, 543, 1857, 1072, 20682, 6895, 519, 4657, 22308, 3068, 540, 713, 3644, 3168, 585, 3209, 267, 5732, 1454, 811, 5906, 13592, 543, 14726, 267, 543, 7654, 6451, 12381, 547, 741, 10074, 547, 2226, 741, 7145, 563, 6546, 779, 835, 1259, 547, 979, 827, 6061, 519, 1966, 540, 14726, 269, 4033, 3744, 2038, 593, 538, 713, 6855, 6700, 1776, 2619, 281, 4208, 711, 1020, 10074, 602, 3077, 1134, 15926, 5703, 4525, 540, 519, 3644, 685, 11646, 267, 799, 616, 2484, 1447, 11630, 547, 13592, 888, 4517, 2469, 1454, 2417, 267, 1946, 711, 1020, 10074, 1996, 782, 8318, 822, 21905, 602, 723, 6098, 3425, 971, 607, 16568, 17336, 268, 273, 630, 1492, 1699, 5046, 268, 866, 3644, 1070, 16568, 17336, 630, 1492, 3312, 16568, 1070, 631, 8991, 17336, 543, 1866, 1634, 547, 2014, 519, 1455, 4411, 286, 4208, 711, 267, 8197, 563, 6546, 1935, 602, 729, 6700, 547, 519, 2817, 4659, 540, 30665, 543, 29956, 15302, 630, 301, 8656, 2839, 264, 2038, 593, 538, 713, 6855, 267, 513, 11556, 602, 2689, 619, 2808, 606, 968, 719, 9227, 892, 2856, 267, 1175, 711, 1287, 950, 1034, 6669, 9367, 4941, 547, 2712, 326, 1836, 1020, 10074, 585, 713, 1808, 3644, 267, 2760, 31935, 519, 3644, 1131, 1831, 519, 2367, 864, 621, 2968, 543, 5170, 547, 581, 563, 3719, 1631, 602, 6669, 9367, 723, 519, 5580, 1688, 267, 621, 779, 942, 547, 2132, 547, 513, 811, 13598, 11556, 2966, 547, 4308, 609, 2104, 14726, 676, 9256, 883, 835, 6669, 3810, 24721, 267, 12691, 547, 1689, 267, 18970, 545, 3334, 689, 782, 8318, 822, 21905, 602, 4323, 3425, 563, 290, 10248, 909, 609, 14726, 593, 519, 8038, 676, 22212, 1699, 10074, 607, 1007, 14726, 21074, 568, 7199, 543, 4440, 711, 513, 14323, 3070, 585, 1018, 814, 1831, 513, 5001, 1966, 602, 779, 2469, 547, 581, 609, 721, 585, 519, 2062, 5408, 762, 2104, 563, 288, 13598, 6669, 1131, 1118, 513, 14952, 331, 748, 26259, 6669, 2899, 519, 6855, 3936, 956, 1524, 267, 607, 513, 11064, 547, 2104, 27503, 5774, 12515, 269, 1306, 621, 7140, 856, 267, 1082, 3744, 3238, 609, 8888, 2770, 10074, 616, 3168, 693, 513, 2147, 1935, 1107, 9192, 18970, 545, 3334, 689, 607, 1082, 2770, 14726, 607, 2009, 883, 835, 6669, 563, 2690, 1312, 519, 11452, 543, 14798, 3644, 267, 519, 2856, 568, 547, 8936, 1346, 11347, 18970, 545, 3940, 3334, 547, 930, 1106, 540, 17560, 14835, 24775, 1107, 865, 9112, 1107, 602, 1169, 18970, 545, 3940, 814, 606, 3160, 4316, 547, 12954, 519, 4761, 1062, 269, 898, 779, 513, 15931, 2856, 602, 5310, 814, 1336, 922, 942, 563, 288, 2147, 3070, 585, 1079, 3885, 540, 8290, 2306, 2631, 547, 803, 269, 1656, 9039, 540, 721, 786, 4413, 519, 1455, 4411, 1058, 971, 513, 13598, 11452, 6669, 2490, 856, 547, 960, 269, 11569, 267, 814, 4896, 1185, 513, 4411, 610, 2770, 713, 4005, 286, 1924, 2484, 267, 621, 779, 1044, 513, 968, 7224, 2770, 892, 4005, 563, 6546, 781, 513, 26460, 538, 519, 1286, 333, 720, 540, 5046, 268, 866, 563, 7804, 269, 5261, 9466, 568, 513, 7548, 540, 11719, 344, 693, 5062, 22913, 2160, 543, 1071, 1922, 10133, 540, 519, 27084, 8234, 3126, 693, 519, 15281, 698, 4673, 6823, 7308, 6441, 820, 5398, 7732, 269, 0, 26296, 1852, 568, 513, 1599, 540, 1870, 602, 9388, 609, 15271, 267, 9276, 267, 2724, 267, 5291, 2517, 332, 2292, 268, 24597, 2593, 270, 1708, 272, 270, 6187, 270, 1704, 270, 6343, 28104, 7308, 1532, 652, 8686, 23709, 1673, 1092, 268, 3336, 268, 7809, 2264, 543, 5491, 269, 3958, 267, 621, 568, 7255, 609, 519, 1379, 540, 606, 9872, 547, 4163, 856, 741, 5692, 269, 1717, 2073, 972, 616, 930, 3119, 3604, 1063, 2883, 5883, 543, 519, 3606, 1870, 2934, 269, 12989, 616, 513, 1297, 540, 519, 3604, 5473, 519, 1079, 269, 18227, 891, 538, 2212, 666, 948, 596, 547, 2824, 519, 1318, 835, 2139, 585, 596, 269, 3367, 593, 547, 1451, 811, 269, 1403, 596, 616, 3206, 827, 4742, 513, 2883, 9614, 267, 972, 616, 7899, 540, 2081, 596, 666, 1353, 621, 563, 2414, 1118, 513, 7443, 267, 606, 13055, 2115, 1434, 6666, 543, 28880, 269, 898, 12651, 891, 2724, 998, 2123, 7963, 610, 32097, 14104, 269, 11038, 9946, 948, 547, 1832, 513, 27357, 3666, 1851, 891, 1079, 2010, 540, 14104, 269, 901, 2337, 547, 2327, 602, 519, 2754, 568, 2356, 1134, 1790, 3789, 539, 585, 519, 3483, 540, 2104, 1646, 269, 634, 7525, 6859, 540, 2804, 2359, 949, 4782, 547, 581, 14894, 539, 538, 519, 1279, 24507, 269, 1280, 1383, 2073, 606, 3919, 602, 568, 9561, 2724, 949, 6430, 547, 6175, 922, 10986, 543, 10697, 3490, 269, 901, 786, 2569, 5665, 3790, 543, 1450, 609, 14621, 547, 1964, 31382, 543, 835, 6066, 2472, 269, 634, 1279, 3856, 3804, 267, 2943, 2073, 1522, 581, 547, 3035, 513, 811, 7347, 3510, 538, 519, 2344, 563, 306, 22066, 2883, 4238, 568 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 711, 1294, 621, 607, 6739, 855, 2864, 607, 812, 1500, 267, 602, 649, 3425, 1185, 2944, 713, 269, 634, 8360, 968, 763, 6607, 779, 519, 3970, 892, 729, 1631, 513, 8360, 540, 519, 2250, 269, 901, 729, 2230, 2336, 763, 10131, 540, 590, 1584, 23364, 3361, 1390, 1526, 1716, 566, 538, 519, 2136, 2276, 269, 1284, 1185, 15468, 3297, 519, 28592, 269, 1284, 941, 1100, 3476, 519, 1152, 6345, 693, 519, 4099, 540, 519, 3942, 540, 1480, 9909, 543, 17050, 269, 898, 814, 1044, 24080, 17019, 602, 713, 2680, 15427, 519, 2230, 5198, 543, 7914, 3323, 513, 5756, 685, 1279, 8561, 593, 519, 3450, 540, 2257, 693, 782, 2157, 538, 519, 2136, 2276, 269, 10738, 519, 2796, 540, 519, 4411, 2112, 267, 713, 2197, 5433, 12219, 267, 7925, 543, 13934, 269, 2334, 1686, 814, 1044, 1134, 13006, 267, 865, 594, 786, 1413, 693, 824, 7835, 602, 2095, 539, 689, 713, 2680, 476, 2004, 1296, 3516, 602, 2303, 875, 5963, 1713, 621, 2731, 729, 563, 306, 1584, 23364, 3576, 2230, 856, 540, 2257, 5708, 883, 4641, 267, 689, 1018, 952, 547, 1631, 269, 589, 812, 18478, 1843, 1185, 2451, 519, 4541, 799, 538, 2490, 22485, 519, 829, 24632, 3774, 540, 20159, 547, 1397, 513, 2361, 540, 796, 19960, 514, 762, 7872, 269, 898, 2968, 513, 4704, 1448, 543, 513, 14165, 540, 1761, 607, 538, 968, 20756, 267, 952, 519, 28592, 666, 2322, 513, 9682, 883, 2230, 649, 666, 798, 3071, 263, 3369, 7241, 729, 519, 5326, 729, 1373, 5941, 1040, 898, 729, 713, 1826, 540, 3206, 602, 3366, 547, 5518, 17394, 779, 1390, 4633, 538, 476, 3422, 272, 827, 13941, 513, 812, 593, 519, 7599, 543, 8744, 1864, 1753, 9108, 1354, 519, 1439, 540, 519, 8717, 269, 15154, 8118, 909, 563, 763, 5452, 540, 3206, 11451, 941, 1101, 1792, 1233, 609, 590, 1584, 23364, 269, 1879, 3627, 3794, 3317, 543, 1287, 1866, 11497, 1243, 519, 4541, 267, 519, 1158, 19557, 607, 835, 547, 519, 1480, 10618, 689, 2230, 269, 1284, 782, 14478, 621, 593, 7641, 269, 2290, 540, 721, 267, 513, 1480, 267, 729, 909, 972, 269, 3973, 972, 941, 1079, 540, 721, 267, 1287, 1614, 693, 513, 942, 269, 5272, 10131, 883, 2230, 2968, 519, 8789, 3377, 1650, 585, 519, 8653, 540, 519, 8184, 269, 898, 3366, 519, 1007, 2675, 6814, 543, 729, 2141, 593, 519, 4395, 2985, 269, 18479, 1597, 1296, 1310, 590, 1584, 23364, 267, 593, 8285, 18832, 267, 476, 3422, 279, 267, 519, 4583, 968, 24160, 4473, 892, 8666, 729, 13739, 689, 21011, 476, 279, 269, 1284, 782, 4718, 519, 3047, 607, 513, 4190, 4544, 4541, 11303, 676, 12808, 3109, 1145, 269, 3776, 19236, 1753, 8604, 865, 17866, 543, 4805, 538, 519, 7122, 563, 1607, 729, 519, 1101, 942, 538, 519, 1686, 540, 8103, 602, 649, 1223, 782, 1294, 513, 8523, 540, 938, 4541, 689, 2230, 269, 901, 2582, 3239, 267, 811, 982, 1022, 824, 267, 9250, 519, 2825, 3350, 269, 898, 729, 2312, 602, 519, 4541, 729, 10475, 543, 13113, 269, 634, 1101, 3047, 4303, 729, 538, 476, 3192, 271, 267, 476, 1724, 1296, 1310, 519, 10131, 540, 590, 1584, 23364, 269, 769, 930, 1279, 543, 23090, 1259, 267, 938, 1699, 2518, 2825, 9637, 814, 6738, 689, 519, 10131, 540, 590, 1584, 23364, 269, 21244, 32511, 340, 7315, 779, 1390, 2825, 10839, 729, 1759, 538, 2230, 16166, 281, 968, 2467, 616, 1100, 15915, 593, 14136, 3047, 267, 649, 616, 782, 12284, 9731, 763, 7872, 540, 2230, 602, 649, 782, 3323, 547, 2661, 609, 1310, 590, 1584, 23364, 5280, 547, 3337, 519, 31341, 6681, 8717, 540, 519, 476, 3422, 271, 338, 269, 2755, 8304, 21601, 267, 6406, 7126, 267, 4224, 2575, 543, 5061, 616, 1034, 1419, 21433, 607, 519, 1689, 8069, 540, 713, 8717, 267, 2230, 3408, 729, 849, 513, 2101, 3310, 269, 8330, 14347, 267, 513, 2259, 540, 12605, 1759, 2390, 10785, 2968, 3833, 2442, 1107, 6520, 540, 13985, 23581, 4896, 286, 1306, 5018, 1657, 267, 3206, 8118, 909, 269, 26321, 2924, 286, 4208, 711, 256, 5269, 2648, 711, 2112, 286, 8786, 256, 1403, 812, 666, 979, 883, 2230, 646, 666, 4194, 18714, 2042, 563, 306, 1584, 23364, 849, 3323, 1945, 602, 729, 3833, 1713, 538, 519, 2136, 2276, 269, 769, 24918, 267, 519, 2197, 1185, 1044, 4625, 20834, 1242, 547, 3094, 519, 4279, 2782, 269, 1548, 519, 2197, 12913, 538, 1346, 1906, 2110, 1296, 1185, 1100, 3140, 9551, 775, 269, 2991, 519, 2112, 267, 543, 909, 2394, 590, 1584, 23364, 267, 519, 2136, 2276, 3576, 513, 1454, 2877, 13884, 2736, 269, 901, 729, 519, 942, 540, 27657, 267, 1016, 7875, 807, 543, 519, 1286, 2528, 269, 1284, 1185, 4465, 543, 649, 10150, 519, 5613, 540, 938, 10888, 269, 590, 1584, 23364, 15427, 513, 4254, 16478, 538, 519, 2197, 269, 3013, 4951, 3294, 547, 581, 2111, 547, 20834, 1125, 1472, 513, 3804, 267, 513, 5692, 540, 1390, 3140, 9588, 269, 769, 476, 1321, 2110, 1296, 649, 4682, 689, 513, 1507, 12106, 581, 9429, 922, 1259, 1472, 519, 4541, 267, 547, 2965, 6972, 593, 519, 7599, 269, 634, 2229, 267, 8331, 267, 1870, 543, 519, 12504, 787, 782, 1071, 2297, 1027, 1472, 713, 11212, 11121, 5692, 563, 2171, 991, 547, 798, 713, 1586, 2221, 269, 901, 942, 711, 1175, 607, 513, 4182, 855, 607, 835, 540, 1082, 6082, 602, 991, 547, 12840, 547, 4194, 519, 2518, 1648, 1966, 269, 3767, 267, 607, 538, 476, 4198, 278, 267, 649, 616, 12219, 267, 7925, 543, 13934, 282, 1152, 1631, 621, 568, 782, 540, 8103, 602, 8188, 513, 7372, 1966, 269, 4653, 621, 568, 519, 4161, 540, 4466, 4625, 7791, 1648, 543, 607, 3728, 607, 649, 666, 269, 4495, 1586, 519, 3070, 568, 2230, 269, 589, 1297, 540, 519, 1390, 3744, 602, 723, 1044, 26906, 1934, 538, 713, 5816, 723, 6462, 606, 968, 25721, 18099, 6438, 892, 1982, 547, 10131, 543, 1628, 7372, 20771, 3859, 2230, 10473, 269, 18741, 18852, 2066, 267, 891, 7372, 2048, 338, 6897, 8440, 538, 2230, 685, 666, 1683, 3592, 782, 519, 1648, 2115, 540, 8103, 1354, 519, 1439, 540, 713, 2540, 269, 595, 6817, 6611, 9891, 5295, 630, 7704, 303, 264, 610, 6611, 9891, 6052, 630, 7704, 292, 264, 621, 568, 519, 2582, 1655, 2462, 3070, 585, 519, 4541, 563, 5472, 1648, 593, 3047, 2501, 998, 835, 1184, 610, 1776, 689, 519, 3141, 269, 634, 3141, 568, 519, 2707, 540, 782, 1648, 538, 938, 3859, 1062, 269, 1635, 8380, 1896, 1804, 3859, 8440, 538, 2520, 334, 1606, 2106, 28942, 10739, 1472, 519, 4541, 543, 23142, 519, 3859, 1648, 9676, 1394, 1524, 547, 3618, 649, 666, 1683, 1648, 547, 3047, 585, 607, 1279, 607, 972, 568, 519, 3141, 269, 634, 2029, 568, 782, 2139, 543, 267, 1282, 519, 1576, 540, 519, 476, 736, 1296, 621, 786, 1491, 547, 2322, 519, 1101, 9399, 303, 9682, 538, 10739, 267, 621, 666, 581, 2417, 15568, 269, 634, 1434, 3377, 568, 602, 519, 29426, 2230, 3549, 538, 519, 4357, 5823, 616, 3728, 16042, 519, 942, 950, 789, 666, 1711, 513, 1870, 540, 9505, 339, 1782, 1394, 543, 8521, 883, 2230, 267, 12419, 782, 519, 2326, 2877, 585, 891, 7372, 15408, 269, 589, 3020, 11450, 540, 2229, 4287, 543, 7616, 267, 6462, 676, 585, 7443, 3549, 543, 513, 5075, 540, 4126, 267, 9322, 543, 6668, 593, 519, 851, 540, 782, 2518, 4961, 454, 2005, 568, 2312, 602, 713, 3804, 2115, 547, 581, 1305, 269, 634, 4961, 540, 519, 1158, 543, 741, 6608, 991, 547, 2097, 1927, 1472, 1776, 2230, 1759, 5075, 602, 786, 711, 1152, 4194, 519, 1034, 10296, 1966, 540, 519, 942, 855, 1131, 849, 267, 998, 519, 4674, 267, 585, 613, 519, 4098, 540, 513, 1007, 2518, 5736, 540, 9316, 269, 4208, 711, 256, 6733, 1018, 649, 1705, 1310, 590, 1584, 23364, 269, 0, 2237, 519, 946, 540, 1739, 3758, 31452, 609, 606, 1383, 10778, 5353, 2131, 326, 263, 2567, 901, 1599, 568, 1031, 547, 3406, 519, 1239, 31632, 538, 513, 3758, 950, 519, 3758, 568, 8118, 538, 1224, 7154, 563, 306, 7417, 298, 294, 3890, 9890, 529, 1031, 547, 1847, 519, 1205, 24072, 547, 513, 5551, 4087, 609, 2463, 547, 513, 4704, 1448, 563, 306, 9321, 1314, 2433, 3758, 7272, 334, 5793, 269, 572, 2131, 326, 630, 15893, 540, 25466, 2073, 13129, 1448, 11850, 7078, 2433, 1710, 269, 572, 2131, 326, 263, 1015, 267, 3930, 26012, 1917, 5148 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12007, 12191, 2337, 547, 2708, 513, 7184, 1620, 540, 1514, 6384, 540, 1004, 945, 786, 4309, 519, 6304, 563, 763, 11556, 1131, 581, 689, 606, 15834, 5133, 267, 5473, 912, 268, 6987, 2400, 2361, 960, 2676, 268, 23840, 540, 17801, 4919, 2553, 585, 1239, 4015, 630, 7945, 607, 16045, 8343, 540, 1153, 543, 1920, 2853, 267, 5638, 538, 513, 2361, 19701, 543, 922, 13604, 1062, 520, 1242, 994, 268, 14171, 883, 2272, 782, 1514, 11051, 630, 7945, 607, 3610, 267, 1053, 267, 1920, 267, 543, 2146, 264, 602, 2097, 883, 1404, 267, 585, 1383, 676, 7311, 538, 3829, 11042, 543, 5660, 2047, 519, 2238, 538, 1153, 267, 1753, 610, 6753, 540, 5872, 269, 769, 713, 2631, 267, 621, 568, 1898, 547, 581, 3222, 540, 1018, 789, 968, 25669, 789, 798, 892, 543, 1018, 968, 16269, 798, 892, 538, 3232, 1272, 269, 25037, 532, 891, 1079, 3344, 1058, 581, 3730, 547, 1174, 1018, 4523, 538, 1483, 6384, 17804, 609, 2069, 3853, 543, 2157, 540, 11558, 267, 1455, 1620, 540, 519, 1949, 267, 543, 10721, 2853, 563, 2005, 568, 2009, 602, 1142, 1895, 814, 1114, 11994, 540, 2621, 267, 543, 713, 2460, 666, 1860, 3347, 267, 2792, 267, 1599, 267, 543, 4879, 540, 3853, 538, 606, 3872, 2146, 563, 2026, 5892, 5018, 267, 782, 1346, 3344, 616, 4143, 547, 723, 543, 11455, 8223, 540, 2069, 543, 1153, 6384, 267, 607, 1134, 607, 5171, 685, 3232, 1272, 269, 0, 8368, 540, 12937, 454, 3963, 1705, 14884, 3247, 1210, 9348, 334, 4680, 888, 9213, 267, 7064, 547, 2780, 2029, 543, 2804, 13766, 267, 9348, 334, 4680, 1100, 3476, 1246, 3013, 779, 14884, 269, 634, 2101, 16456, 338, 723, 19944, 4240, 741, 946, 267, 4849, 593, 930, 2110, 24507, 26708, 543, 5826, 14884, 269, 21805, 3549, 2161, 519, 3926, 6104, 8460, 3388, 519, 9348, 5366, 1705, 1532, 583, 14949, 543, 1732, 563, 3963, 568, 972, 1100, 9348, 5366, 593, 14884, 888, 290, 629, 334, 4680, 2221, 616, 6140, 1031, 952, 513, 5721, 814, 547, 979, 18807, 585, 606, 6905, 1974, 540, 942, 543, 519, 11653, 6499, 2576, 538, 1394, 547, 1294, 1141, 519, 26708, 6517, 616, 2469, 269, 4634, 538, 1346, 2665, 267, 519, 9348, 5366, 568, 9561, 2666, 2094, 1082, 26708, 3549, 4782, 547, 946, 513, 2034, 2599, 538, 519, 1394, 267, 30330, 1767, 563, 1432, 568, 519, 1101, 1286, 538, 513, 5721, 1572, 888, 1692, 1279, 568, 513, 5721, 2599, 888, 763, 8028, 7785, 271, 290, 310, 568, 513, 476, 277, 267, 1822, 268, 1817, 572, 12741, 630, 275, 267, 4335, 737, 310, 264, 4155, 2220, 527, 7815, 17088, 3167, 21525, 12067, 3710, 676, 23817, 18815, 269, 898, 568, 1851, 519, 1158, 779, 1034, 3532, 2582, 268, 1263, 1441, 17088, 21525, 582, 1161, 16634, 12283, 8028, 7785, 271, 290, 310, 563, 347, 12640, 601, 8006, 1475, 5655, 538, 630, 272, 267, 6187, 278, 6515, 10245, 347, 21920, 1475, 10602, 10264, 476, 271, 538, 630, 2537, 269, 1626, 544, 10245, 347, 310, 5954, 1475, 1015, 10264, 476, 274, 538, 630, 274, 269, 1321, 544, 10245, 347, 3891, 697, 1475, 1626, 10264, 476, 271, 538, 630, 275, 269, 6434, 544, 10245, 1432, 1826, 540, 4492, 798, 14884, 946, 888, 2710, 14884, 723, 24039, 888, 19640, 21525, 582, 1161, 946, 3167, 20086, 269, 901, 568, 1454, 811, 8465, 982, 24039, 269, 667, 625, 1564, 2196, 18402, 689, 519, 13674, 2599, 630, 17141, 3586, 18165, 264, 543, 2981, 519, 1648, 1210, 606, 3124, 1807, 270, 10090, 1807, 547, 2196, 519, 20086, 16546, 269, 3143, 267, 14884, 723, 1100, 24039, 267, 2094, 891, 616, 4652, 29342, 1043, 563, 1692, 1454, 16671, 568, 513, 5721, 2599, 888, 763, 2599, 568, 519, 1034, 1271, 851, 538, 17088, 21525, 582, 1161, 543, 3761, 519, 1379, 547, 2490, 519, 14743, 269, 634, 2599, 568, 849, 1572, 513, 968, 28269, 631, 1478, 6100, 1452, 9817, 616, 5458, 267, 2356, 2348, 476, 1626, 595, 2643, 785, 619, 267, 476, 3953, 4406, 1407, 543, 827, 476, 1911, 267, 1822, 547, 476, 5611, 267, 1822, 524, 322, 12761, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 538, 1582, 21553, 2889, 22777, 269, 1452, 2418, 2992, 519, 6626, 10206, 540, 10343, 1336, 1369, 6154, 655, 21863, 910, 22205, 1004, 1759, 593, 741, 1915, 2864, 982, 5007, 2188, 563, 290, 269, 16792, 20504, 766, 538, 7073, 5980, 454, 17457, 6154, 655, 3517, 3136, 547, 9784, 519, 6240, 540, 10343, 676, 10283, 538, 26988, 2238, 6322, 693, 5355, 2950, 5001, 269, 1358, 3895, 13784, 267, 18245, 1367, 4978, 1247, 5807, 1455, 3853, 269, 1306, 2104, 3401, 267, 1565, 827, 10343, 538, 6154, 655, 21863, 7512, 1053, 547, 1871, 3604, 543, 11441, 4724, 9322, 780, 4089, 4083, 281, 10289, 3281, 6842, 538, 13221, 454, 288, 269, 9502, 540, 3281, 6842, 538, 13221, 454, 15253, 6842, 6013, 693, 519, 2295, 540, 10067, 27011, 13221, 267, 3989, 607, 25091, 9637, 585, 519, 7092, 540, 1866, 10483, 676, 513, 7287, 547, 13468, 602, 1928, 269, 26636, 20130, 3430, 11663, 12013, 1518, 17519, 2623, 267, 27185, 11238, 562, 597, 341, 3570, 2394, 1169, 2366, 1304, 1373, 31267, 21481, 563, 289, 269, 3474, 762, 540, 519, 18771, 731, 23268, 454, 3080, 1134, 8153, 14418, 1612, 762, 14550, 8296, 998, 519, 1650, 540, 918, 13453, 20944, 9564, 267, 4171, 1126, 10523, 911, 326, 1227, 269, 2677, 704, 622, 547, 2847, 633, 1200, 5067, 267, 1352, 11394, 948, 689, 519, 17700, 267, 945, 4051, 338, 1200, 547, 5531, 28401, 5452, 689, 3885, 2150, 31189, 676, 2669, 269, 1133, 762, 547, 1265, 971, 10820, 267, 918, 13453, 16137, 1272, 781, 6650, 2006, 775, 543, 9060, 24176, 538, 4687, 1200, 16012, 7326, 563, 290, 269, 4980, 22899, 3281, 6842, 538, 11545, 5020, 454, 7437, 9066, 2553, 899, 5450, 3279, 645, 6409, 3570, 630, 331, 8221, 29292, 1145, 1070, 11009, 5751, 267, 543, 6411, 540, 28908, 267, 4896, 666, 11349, 8296, 3232, 269, 20876, 25872, 2636, 721, 547, 1521, 1866, 24963, 543, 6536, 2318, 3347, 780, 4089, 8633, 281, 20710, 3101, 16610, 3842, 19565, 9085, 454, 288, 269, 19805, 31999, 12267, 454, 17315, 8736, 5708, 2835, 10023, 14418, 10752, 2709, 11541, 6386, 15386, 10343, 543, 8296, 269, 8564, 2085, 29003, 10643, 5466, 3584, 971, 607, 11648, 267, 2530, 267, 11505, 267, 610, 2686, 3017, 269, 6201, 1331, 912, 268, 834, 10376, 9877, 1145, 257, 676, 10496, 638, 5202, 8381, 5459, 454, 268, 834, 306, 611, 752, 334, 543, 519, 23897, 663, 7433, 595, 3757, 525, 257, 676, 661, 32642, 3213, 20482, 454, 268, 834, 313, 523, 1744, 2176, 257, 676, 13744, 808, 631, 3578, 454, 289, 269, 17564, 5999, 1299, 11242, 454, 21886, 5971, 2565, 3206, 543, 2123, 8086, 676, 30286, 2055, 3823, 3197, 262, 3527, 267, 4664, 267, 543, 18144, 269, 1280, 3236, 281, 1215, 1705, 1924, 30394, 1676, 18266, 6542, 10343, 286, 1548, 1909, 1281, 8296, 1404, 538, 20547, 7526, 286, 5071, 3860, 3785, 20872, 1053, 547, 4019, 4121, 3741, 267, 899, 1603, 3312, 2110, 2984, 610, 2870, 13371, 14816, 14624, 540, 6074, 5931, 780, 6962, 912, 3528, 18167, 883, 519, 2035, 540, 10343, 538, 6154, 655, 21863, 543, 8296, 538, 13221, 267, 1053, 2744, 3407, 4030, 10858, 3564, 4081, 5468, 269, 22034, 11174, 5708, 3332, 5849, 3015, 29293, 540, 1950, 2093, 267, 16779, 6107, 547, 1831, 8069, 540, 1689, 5009, 538, 1816, 4369, 543, 6568, 538, 741, 1378, 2729, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 5824, 934, 760, 699, 267, 4309, 267, 729, 689, 740, 267, 2495, 968, 1729, 2223, 543, 1698, 699, 267, 2495, 968, 339, 820, 2223, 4061, 547, 1491, 267, 547, 4309, 269, 634, 12809, 29095, 1222, 543, 22612, 267, 855, 1310, 519, 32096, 540, 713, 729, 3398, 639, 269, 769, 7358, 894, 631, 21863, 2818, 941, 15861, 998, 1576, 540, 942, 267, 543, 950, 519, 14958, 1185, 13175, 547, 9178, 267, 9543, 5443, 945, 1185, 1100, 9837, 540, 3257, 26767, 685, 960, 855, 941, 5461, 538, 519, 14958, 585, 1514, 267, 610, 5310, 585, 1884, 1172, 4115, 4128, 267, 941, 7608, 892, 883, 15376, 282, 547, 10646, 891, 9543, 5443, 631, 3517, 689, 519, 7358, 2510, 538, 519, 15376, 789, 941, 1572, 519, 968, 10907, 1061, 539, 1848, 2991, 476, 14378, 278, 267, 950, 519, 2898, 14958, 729, 19117, 883, 513, 2605, 24471, 267, 782, 2818, 2968, 1875, 14114, 704, 2510, 267, 8754, 938, 946, 540, 519, 2262, 538, 971, 2453, 607, 968, 10403, 543, 20504, 539, 631, 3517, 3034, 23742, 3780, 568, 5824, 585, 5067, 267, 2083, 807, 585, 8250, 282, 519, 18772, 968, 2378, 892, 568, 513, 1106, 540, 519, 5824, 740, 267, 2495, 547, 1039, 547, 269, 1677, 581, 28337, 1797, 4061, 547, 581, 7550, 883, 513, 1920, 607, 513, 5067, 610, 8250, 267, 513, 2495, 602, 18991, 6227, 513, 28224, 779, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 16337, 1315, 16241, 1315, 14418, 1315, 9752, 3281, 6842, 998, 14418, 674, 1963, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 20821, 19626, 267, 513, 1360, 2027, 12016, 19995, 256, 1809, 1018, 1281, 602, 1611, 286, 4270, 267, 1577, 781, 2736, 621, 1524, 1927, 780, 5331, 596, 979, 547, 1294, 707, 4387, 950, 596, 2811, 4743, 796, 6202, 269, 1358, 1522, 2285, 596, 4915, 610, 4363, 5574, 547, 948, 596, 1745, 1732, 269, 589, 12016, 19995, 666, 798, 782, 1346, 1919, 1932, 910, 789, 1175, 723, 3063, 2866, 865, 789, 666, 1683, 1256, 811, 1416, 547, 741, 2550, 269, 2334, 781, 1946, 649, 1289, 873, 834, 611, 341, 2331, 2259, 11923, 15323, 3086, 267, 972, 616, 1114, 2010, 540, 12016, 9439, 4470, 593, 1141, 789, 3442, 547, 1445, 741, 1983, 269, 2368, 960, 1152, 609, 9002, 267, 1866, 1522, 1491, 1416, 540, 11361, 1004, 267, 1247, 938, 3659, 19626, 4956, 547, 1831, 606, 4274, 538, 4543, 11570, 609, 2790, 1072, 2152, 899, 4965, 267, 4160, 267, 11838, 267, 610, 17299, 4524, 269, 1284, 1289, 713, 1826, 540, 8808, 267, 834, 23991, 5369, 12278, 10076, 2657, 29237, 31943, 518, 1701, 2372, 924, 513, 5023, 995, 267, 1318, 286, 5213, 1405, 5855, 1498, 282, 922, 1292, 3804, 568, 1818, 2386, 3025, 7959, 18668, 543, 8902, 14156, 780, 3719, 875, 1705, 19626, 1205, 1934, 286, 4279, 2243, 256, 6969, 4742, 513, 12016, 19995, 267, 1352, 6594, 2797, 2257, 1317, 1620, 875, 1949, 960, 630, 3697, 6608, 610, 3782, 264, 2337, 1200, 6330, 1950, 3871, 269, 3973, 1352, 798, 557, 883, 1565, 827, 5778, 326, 770, 549, 10938, 1108, 1107, 799, 4992, 2706, 7294, 855, 2965, 1797, 4974, 519, 4276, 1063, 519, 2634, 267, 13285, 267, 543, 12536, 269, 5994, 952, 1169, 942, 596, 941, 8401, 267, 17984, 4904, 707, 6084, 3240, 282, 1134, 267, 602, 781, 4010, 519, 2186, 540, 3095, 891, 3744, 8495, 2439, 7661, 267, 1310, 13215, 5778, 326, 770, 549, 10938, 1108, 267, 1352, 4682, 1394, 547, 1153, 835, 2063, 942, 547, 1353, 2618, 17226, 4481, 269, 901, 4847, 1200, 547, 32260, 1200, 2645, 585, 5885, 1004, 10010, 609, 2790, 1072, 2591, 269, 27009, 267, 1352, 1568, 609, 6107, 543, 4079, 7231, 609, 1585, 2790, 10108, 2066, 2789, 5468, 267, 689, 18241, 13646, 547, 5691, 20499, 998, 1945, 1572, 834, 974, 548, 17595, 17226, 2437, 8220, 609, 2950, 538, 4025, 899, 23497, 543, 16855, 780, 2791, 949, 4898, 1946, 2576, 1131, 4142, 6510, 741, 1272, 547, 4543, 1866, 4383, 741, 4664, 543, 4555, 269, 898, 7140, 856, 602, 2921, 1434, 1416, 540, 938, 8186, 6927, 1631, 811, 982, 2479, 1354, 269, 1879, 938, 12058, 5749, 1405, 2324, 7157, 267, 3388, 3116, 3587, 9875, 910, 4189, 1134, 267, 12008, 2614, 267, 2519, 593, 4247, 267, 11981, 12348, 267, 610, 3274, 2348, 1187, 609, 2828, 269, 1635, 1373, 972, 585, 1004, 1282, 9157, 2053, 267, 19626, 2306, 513, 1483, 3017, 538, 741, 2729, 267, 7175, 873, 547, 7753, 9465, 543, 1265, 8788, 1586, 780, 13914, 827, 621, 281, 9327, 1405, 621, 581, 5863, 952, 649, 1223, 782, 1451, 875, 547, 1489, 1142, 824, 1732, 267, 2523, 950, 6849, 3929, 23434, 286, 9320, 14693, 9358, 786, 6443, 19626, 543, 3565, 547, 5355, 2790, 1072, 1416, 585, 3025, 1472, 596, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 28494, 4785, 3198, 667, 7968, 3008, 12702, 3201, 292, 267, 10790, 267, 9049, 301, 267, 6751, 295, 23259, 5174, 290, 454, 306, 639, 534, 1546, 303, 553, 638, 1446, 568, 513, 4604, 2275, 1068, 1881, 7731, 5369, 12278, 10076, 2657, 29237, 31943, 518, 269, 4173, 1699, 2259, 568, 609, 6107, 543, 4079, 945, 723, 2790, 10108, 538, 1312, 538, 18345, 543, 30229, 5468, 267, 1519, 7658, 17595, 17226, 585, 23497, 543, 16855, 2950, 269, 2701, 6192, 1200, 9457, 540, 3203, 538, 11572, 3163, 693, 519, 2160, 540, 15117, 267, 3703, 12052, 267, 9457, 540, 3163, 538, 16711, 693, 22208, 7414, 2160, 538, 22208, 267, 6115, 267, 609, 513, 1445, 538, 5778, 326, 770, 549, 10938, 1108, 267, 543, 519, 5403, 5336, 2120, 540, 3163, 538, 16711, 693, 519, 23497, 3557, 2160, 538, 4425, 345, 17507, 267, 23497, 609, 513, 1445, 538, 2618, 17226, 269, 2701, 814, 5249, 609, 1507, 543, 6917, 3782, 6887, 538, 3703, 12052, 543, 519, 19566, 17197, 1559, 267, 4516, 267, 543, 538, 3450, 543, 1382, 10506, 971, 607, 3038, 2064, 2657, 543, 9098, 28224, 6481, 4741, 6226, 24304, 543, 20506, 8376, 3493, 25902, 538, 22208, 269, 4595, 476, 1001, 273, 267, 1352, 814, 1044, 8362, 3238, 538, 2228, 11173, 2069, 1982, 1821, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 7170, 281, 1215, 547, 5192, 681, 573, 540, 6181, 543, 14022, 22458, 630, 294, 597, 3149, 262, 9990, 994, 25275, 13117, 7529, 284, 692, 6701, 596, 13110, 540, 695, 3058, 267, 14589, 532, 267, 610, 7231, 609, 13311, 1850, 543, 6186, 4552, 286, 901, 3102, 3391, 786, 3802, 596, 998, 1585, 2409, 547, 948, 596, 2161, 1434, 25742, 547, 602, 26240, 5652, 1560, 4552, 269, 3245, 10151, 3435, 899, 695, 3058, 543, 1244, 559, 2218, 1212, 4461, 547, 3476, 18835, 3681, 971, 607, 8955, 5574, 543, 14793, 3974, 267, 649, 723, 3893, 596, 4988, 2439, 1262, 8368, 540, 12937, 16001, 272, 269, 1744, 3058, 454, 273, 269, 3493, 559, 2218, 31201, 338, 454, 274, 269, 654, 1314, 532, 454, 275, 269, 590, 1872, 2130, 454, 276, 269, 9210, 7976, 454, 277, 269, 21558, 32192, 454, 278, 269, 5082, 26299, 3974, 454, 279, 269, 5851, 3816, 12203, 454, 280, 269, 24367, 3911, 26743, 16164, 692, 3721, 476, 272, 281, 1744, 3058, 454, 1366, 19567, 4537, 3058, 568, 835, 540, 519, 1034, 1455, 2081, 547, 4894, 1850, 543, 6186, 4552, 269, 898, 2488, 2656, 2164, 855, 3340, 7928, 909, 18141, 269, 3371, 616, 930, 3268, 543, 5363, 4388, 1384, 320, 269, 2878, 27609, 566, 4995, 6969, 4358, 267, 1491, 513, 3636, 17643, 610, 8602, 547, 21352, 707, 2960, 543, 1930, 22405, 269, 1401, 9110, 5573, 1210, 513, 3138, 1993, 1695, 610, 28103, 547, 1205, 7759, 540, 4666, 2281, 543, 2061, 3824, 3497, 24827, 563, 321, 269, 2878, 299, 1430, 5455, 4995, 15233, 695, 3058, 17371, 610, 15074, 14961, 936, 707, 7953, 610, 7916, 269, 7994, 2472, 4481, 2966, 585, 6213, 2960, 952, 2877, 563, 322, 269, 2878, 20007, 1664, 4995, 2422, 8325, 986, 345, 832, 1152, 282, 20585, 19059, 2333, 8458, 540, 11912, 543, 16698, 269, 15579, 519, 986, 345, 528, 693, 513, 476, 1789, 4113, 5086, 543, 1350, 728, 9900, 2059, 707, 2960, 1739, 519, 4287, 540, 4552, 2208, 269, 3680, 2469, 1394, 936 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3946, 540, 519, 28435, 20379, 267, 799, 3576, 1747, 538, 1249, 950, 590, 3779, 3576, 6341, 7559, 538, 476, 278, 2420, 645, 5861, 5919, 543, 1312, 1705, 741, 1655, 547, 13489, 741, 1004, 547, 1732, 1919, 563, 5278, 540, 519, 9998, 6054, 799, 649, 4865, 616, 18584, 676, 519, 1032, 538, 799, 930, 18476, 2680, 3576, 1747, 267, 607, 538, 4579, 2389, 762, 1206, 540, 519, 2085, 540, 590, 3779, 540, 3397, 1228, 476, 272, 1677, 2057, 1022, 7872, 540, 936, 560, 908, 519, 2013, 267, 621, 568, 2556, 547, 3277, 1934, 547, 519, 1249, 602, 570, 996, 332, 2670, 630, 1320, 1054, 6996, 264, 8633, 563, 763, 4266, 26520, 2390, 513, 3948, 540, 715, 629, 340, 268, 3534, 262, 573, 781, 267, 602, 590, 3779, 781, 5067, 267, 23902, 600, 4149, 514, 267, 556, 11220, 476, 17168, 271, 1296, 1354, 5128, 563, 1607, 8884, 1281, 711, 4096, 2390, 513, 6071, 1592, 540, 9210, 7716, 1296, 282, 649, 723, 538, 519, 3045, 1023, 540, 590, 3779, 543, 590, 3317, 12329, 756, 2407, 1880, 338, 540, 519, 2621, 538, 782, 519, 18060, 532, 1296, 563, 763, 6111, 609, 799, 2679, 4238, 616, 17814, 267, 543, 513, 2631, 540, 5251, 267, 616, 1390, 8441, 1256, 593, 519, 24077, 960, 540, 590, 3779, 781, 19289, 693, 918, 4243, 21171, 563, 15371, 26588, 745, 22835, 267, 2494, 880, 339, 639, 340, 543, 3816, 2313, 630, 21865, 1572, 772, 745, 2173, 2313, 264, 2731, 28263, 267, 543, 547, 930, 6708, 17191, 267, 834, 306, 3779, 257, 1775, 4318, 563, 6546, 590, 3779, 729, 610, 2968, 18678, 538, 27859, 3112, 581, 6065, 1540, 267, 2094, 972, 568, 4207, 2963, 602, 646, 22482, 2549, 584, 745, 563, 763, 1614, 8747, 540, 519, 18659, 540, 590, 3779, 630, 4537, 541, 745, 8566, 296, 268, 2793, 264, 538, 5080, 328, 4734, 721, 538, 8969, 1018, 2731, 5949, 563, 1432, 519, 834, 516, 14179, 339, 540, 782, 3338, 257, 607, 8282, 547, 519, 2663, 851, 540, 590, 3779, 781, 12081, 1797, 568, 711, 2943, 2312, 282, 855, 646, 610, 1010, 5067, 3533, 26793, 621, 563, 21914, 814, 3254, 602, 519, 2245, 267, 799, 729, 9277, 547, 1921, 590, 3779, 594, 563, 763, 15337, 1014, 1223, 798, 1100, 811, 982, 5000, 610, 1489, 519, 5204, 20379, 538, 741, 4339, 585, 5191, 1996, 590, 3779, 543, 590, 3317, 12329, 756, 563, 1103, 476, 278, 2420, 6341, 7559, 267, 1498, 896, 606, 28435, 6929, 642, 817, 531, 630, 295, 657, 9996, 519, 2063, 4622, 1070, 8678, 609, 5845, 626, 807, 538, 27693, 282, 538, 476, 24798, 621, 729, 24027, 609, 717, 18054, 543, 12456, 2444, 639, 267, 543, 519, 18094, 540, 19727, 568, 10423, 950, 590, 3779, 538, 476, 278, 1428, 1336, 621, 2556, 547, 3560, 883, 6341, 7559, 1585, 9082, 540, 519, 9390, 563, 2026, 519, 6360, 23953, 936, 16850, 543, 2095, 539, 5045, 267, 5840, 630, 21579, 7559, 264, 11124, 20494, 341, 3585, 267, 543, 519, 10616, 3361, 676, 2112, 543, 1244, 677, 566, 941, 4904, 909, 676, 519, 4367, 540, 1007, 13896, 676, 590, 3779, 267, 543, 676, 1010, 1967, 832, 538, 519, 476, 278, 628, 2540, 563, 763, 9740, 568, 10645, 676, 1010, 24288, 590, 3779, 563, 300, 843, 8942, 267, 547, 581, 2386, 267, 547, 1895, 519, 8783, 24587, 2404, 609, 519, 1034, 1271, 3909, 543, 2797, 18013, 883, 513, 2834, 20562, 515, 517, 941, 1500, 910, 16113, 538, 715, 2089, 584, 543, 2663, 538, 7984, 910, 855, 971, 8942, 26218, 519, 11972, 2298, 799, 1140, 2851, 547, 10609, 2459, 3120, 6798, 781, 1285, 15735, 3609, 547, 6318, 3057, 706, 330, 910, 519, 19121, 25976, 540, 519, 2104, 3854, 267, 20770, 910, 547, 519, 2212, 540, 519, 3003, 20770, 1014, 20562, 515, 517, 267, 607, 476, 272, 4634, 538, 519, 2013, 540, 519, 834, 306, 655, 12792, 257, 2012, 540, 519, 4583, 590, 3779, 594, 1421, 4171, 2407, 2012, 568, 3622, 1224, 26588, 745, 268, 5287, 340, 1606, 3873, 268, 8932, 267, 543, 14648, 607, 834, 1492, 16048, 4622, 540, 519, 2749, 2437, 519, 2243, 814, 5063, 1044, 6659, 2436, 649, 11129, 711, 547, 1224, 834, 319, 26588, 745, 268, 5287, 2313, 541, 268, 686, 257, 543, 4612, 607, 834, 1492, 16048, 4622, 3652, 257, 910, 606, 14745, 540, 519, 7477, 20746, 1869, 17888, 538, 713, 2352, 6389, 540, 1382, 563, 15900, 538, 519, 476, 274, 6113, 26992, 645, 5861, 269, 519, 2749, 729, 22482, 543, 13026, 676, 519, 12054, 12792, 17710, 540, 13019, 330, 611, 267, 610, 3397, 1228, 267, 543, 3875, 642, 12067, 3615, 540, 1325, 340, 268, 2313, 1513, 573, 630, 308, 5300, 2313, 610, 681, 574, 2313, 1070, 590, 3779, 543, 23902, 600, 4149, 514, 1449, 1518, 547, 519, 9006, 3130, 538, 799, 789, 849, 4371, 713, 25113, 563, 5475, 519, 1647, 540, 519, 476, 1321, 628, 2540, 5205, 1776, 1279, 1974, 540, 13354, 10714, 267, 855, 609, 519, 21037, 540, 9040, 2643, 8205, 676, 519, 28435, 6929, 590, 3779, 267, 693, 519, 2673, 540, 519, 476, 279, 628, 2540, 645, 5861, 1421, 649, 2743, 1586, 609, 2679, 1202, 18587, 267, 543, 896, 2667, 584, 1532, 8643, 1790, 531, 267, 827, 519, 1647, 540, 519, 476, 278, 628, 2540, 267, 649, 1265, 661, 10275, 584, 17468, 609, 513, 26672, 712, 3152, 982, 2479, 1354, 267, 519, 1990, 24513, 584, 520, 540, 602, 1974, 1373, 476, 5002, 10264, 563, 15371, 646, 3357, 547, 519, 17599, 1354, 610, 1310, 519, 2887, 540, 6341, 7559, 630, 278, 2420, 278, 2641, 645, 5861, 4700, 568, 31713, 10086, 6862, 568, 621, 2312, 1018, 2671, 28311, 3576, 538, 519, 28435, 6929, 7526, 1524, 547, 476, 3583, 272, 269, 273, 10374, 569, 1354, 713, 4266, 519, 2898, 540, 7262, 5607, 729, 538, 513, 7542, 618, 282, 590, 3779, 1185, 5747, 543, 590, 3317, 12329, 756, 1185, 2097, 547, 519, 17599, 630, 514, 476, 3583, 276, 5148, 642, 817, 531, 15438, 28367, 547, 9156, 741, 7115, 543, 28435, 6929, 12470, 1115, 941, 6569, 676, 741, 17837, 563, 1103, 519, 2034, 3942, 267, 28352, 540, 3020, 19730, 630, 280, 547, 476, 1470, 260, 17646, 264, 1831, 1455, 282, 13556, 20341, 540, 10889, 10036, 609, 20585, 3109, 22762, 3740, 3270, 5526, 7258, 519, 2699, 268, 2264, 282, 543, 4914, 20558, 2049, 267, 971, 607, 12266, 4544, 25322, 18968, 19273, 630, 311, 2862, 628, 29930, 7656, 628, 19092, 267, 476, 7742, 271, 268, 1220, 271, 645, 5861, 13776, 272, 543, 20425, 1306, 328, 1738, 20910, 630, 821, 540, 590, 3779, 594, 1421, 476, 1220, 271, 645, 5861, 12175, 273, 769, 519, 3791, 3942, 267, 32363, 613, 534, 21152, 5189, 519, 29901, 523, 2801, 534, 630, 17218, 631, 3626, 534, 264, 2528, 543, 6080, 282, 609, 1007, 2010, 540, 9604, 267, 8868, 13402, 20341, 267, 543, 513, 2067, 2065, 1148, 799, 6385, 3587, 6671, 282, 4154, 543, 32334, 616, 10731, 267, 543, 4837, 543, 679, 600, 1564, 616, 1634, 563, 5591, 4704, 547, 30259, 814, 1044, 1336, 538, 20770, 1014, 610, 288, 269, 1087, 344, 6929, 5638, 1354, 519, 12081, 540, 590, 3779, 4083, 563, 306, 3779, 781, 11044, 538, 5087, 16850, 267, 595, 32281, 807, 543, 5045, 3887, 770, 5607, 19724, 630, 278, 2641, 268, 278, 1556, 264, 1008, 12097, 1101, 6285, 267, 1287, 606, 2377, 29983, 543, 19169, 538, 476, 3583, 280, 267, 689, 5722, 15438, 540, 962, 520, 333, 3570, 630, 1492, 28435, 6929, 2012, 585, 30259, 5148, 543, 606, 30115, 540, 590, 3779, 5128, 267, 1336, 563, 1103, 13022, 1756, 543, 16740, 531, 1756, 267, 593, 519, 824, 1688, 267, 513, 21265, 6509, 13172, 543, 9904, 941, 538, 946, 689, 519, 942, 540, 590, 3779, 593, 1189, 25692, 306, 3779, 781, 30115, 693, 13022, 1756, 568, 524, 2317, 6134, 269, 275, 634, 2528, 543, 1148, 540, 30259, 538, 713, 3400, 324, 1723, 268, 4942, 14535, 6509, 1974, 616, 1134, 6719, 676, 3788, 689, 13022, 1756, 267, 16740, 531, 1756, 267, 23111, 817, 639, 267, 2549, 987, 639, 543, 4354, 1756, 282, 519, 4505, 11775, 616, 1655, 6719, 5180, 700, 777, 987, 639, 267, 3752, 328, 267, 623, 7469, 657, 543, 13022, 1756, 282, 519, 2663, 18774, 523, 1436, 267, 693, 2549, 987, 639, 543, 3057, 542, 5025, 3464, 3626, 324, 563, 306, 3779, 11579, 3603, 17439, 4554, 267, 8391, 538, 476, 278, 1428, 562, 322, 269, 519, 24744, 540, 3875, 2405, 1014, 4884, 17376, 514, 806, 563, 6097, 547, 519, 2272, 540, 4173, 617, 582, 639, 267, 519, 15913, 729, 6508, 689, 1546, 328, 665, 525, 267, 519, 27604, 540, 590, 3779, 267, 4171, 18939, 949, 723, 1336, 9675, 538, 519, 9390, 563, 763, 21219, 9863, 547, 581, 1346, 540, 519, 4884, 540, 20736, 4149, 9618, 745, 7219, 267, 834, 306, 3779, 781, 16836, 2437, 3710, 676, 590, 3779, 267, 4622, 540, 28435, 6319, 267, 607, 513, 10424, 15335, 563, 763, 19289, 543, 2749, 941, 6192, 538, 476, 3583, 278, 645, 5861, 1421, 543, 538, 476, 3583, 277, 590, 3779, 3576, 909, 1010, 15335, 972, 563, 2005, 729, 1101, 4294, 547, 519, 3665, 7013, 8664, 267, 4171, 3504, 3854, 729, 519, 2749, 540, 9779, 962, 752, 514, 267, 519, 8783, 10160, 540, 519, 12021, 932, 12245, 2801, 534, 31111, 8585, 617, 778, 28394, 24460, 267, 945, 3771, 21724, 519, 28435, 6929, 15438, 590, 3779, 543, 590, 3317, 12329, 756, 563, 13010, 267, 8585, 617, 778, 28394, 24460, 729, 1572, 676, 590, 3779, 4083, 563, 763, 1686, 540, 519, 2749, 540, 20770, 666, 1631, 581, 14360, 1394, 547, 519, 2395, 540, 590, 3779, 540, 3397, 1228, 630, 29592, 476, 4968, 271, 645, 5861, 4700, 945, 5526, 547, 723, 2016, 519, 2749, 922, 2012, 563, 310, 514, 1188, 2401, 949, 581, 1318, 538, 19620, 513, 4573, 23624, 8574, 538, 519, 3045, 1023, 540, 713, 4622, 865, 607, 547, 1118, 621, 1611, 602, 20770, 7640, 539, 922, 2012, 547, 590, 3779, 267, 945, 1500, 621, 519, 3854, 540, 1010, 10504, 563, 763, 1955, 326, 584, 5174, 601, 540, 590, 3779, 781, 942, 814, 1044, 4362, 676, 519, 4436, 14155, 2209, 4881, 5045, 540, 519, 1627, 553, 337, 689, 519, 661, 25045, 6233, 547, 519, 19835, 540, 1772, 6255, 541, 563, 13434, 3581, 6580, 689, 519, 12081, 540, 590, 3779, 540, 13019, 330, 611, 630, 23884, 271, 645, 5861, 4700, 17538, 602, 1256, 1287, 519, 8795, 3344, 540, 519, 6607, 1185, 1044, 1279, 896, 4274, 8343, 563, 2750, 1061, 585, 519, 705, 677, 633, 8375, 896, 590, 3779, 538, 476, 24798, 267, 649, 5873, 4986, 811, 540, 12456, 2444, 639, 585, 513, 1279, 1974, 563, 3719, 609, 519, 2669, 540, 590, 3779, 538, 476, 3583, 276, 972, 729, 1776, 1390, 856, 10767, 560, 282, 18374, 519, 2898, 540, 21157, 543, 16850, 729, 538, 7916, 267, 543, 519, 8699, 540, 590, 3317, 12329, 756, 781, 10504, 729, 12219, 563, 763, 27693, 540, 6341, 7559, 3576, 1747, 1282, 1010, 12081, 630, 5408, 7642, 19926, 476, 1428, 1070, 543, 1247, 646, 729, 14850, 773, 3101, 519, 31111, 2749, 646, 5747, 593, 519, 476, 1321, 628, 540, 1855, 321, 564, 476, 278, 2420, 645, 5861, 269, 543, 519, 13862, 729, 25868, 676, 590, 3779, 563, 2005, 568, 267, 2705, 267, 519, 642, 3188, 766, 3144, 676, 590, 3779, 2390, 12891, 323, 617, 630, 278, 1556, 264, 799, 4667, 547, 581, 12873, 538, 669, 777, 269, 1535, 343, 1421, 543, 519, 11495, 2370, 28897, 538, 1535, 3495, 563, 2691, 519, 12054, 12792, 13896, 540, 519, 2085, 540, 590, 3779, 267, 7247, 621, 568, 1631, 1455, 609, 930, 5126, 547, 1289, 13019, 330, 21808, 630, 5408, 5681, 518, 1070, 1185, 1831, 8499, 24673, 538, 519, 2551, 267, 972, 7902, 513, 1007, 19366, 3693, 267, 519, 2549, 584, 745, 267, 4171, 4434, 607, 2484, 607, 9040, 2643, 8205, 568, 547, 581, 14360, 538, 519, 30223, 1686, 540, 519, 2022, 294, 644, 6756, 1974, 267, 856, 540, 519, 10539, 540, 799, 972, 6038, 7153, 519, 10609, 2459, 3120, 6798, 15913, 563, 4322, 10617, 941, 4797, 896, 20422, 15438, 267, 11489, 519, 28435, 6929, 1379, 538, 891, 4525, 25189, 922, 1990, 523, 603, 896, 590, 3779, 630, 336, 269, 272, 13776, 945, 630, 278, 1428, 645, 5861, 4700, 3366, 883, 24815, 519, 2405, 1014, 8783, 4303, 4157, 340, 630, 5408, 667, 14976, 665, 19324, 1070, 513, 642, 817, 531, 540, 519, 3687, 14269, 630, 300, 2335, 2801, 753, 1070, 609, 782, 1010, 1920, 267, 543, 16271, 519, 2379, 806, 540, 9012, 607, 2484, 607, 519, 7823, 540, 645, 1731, 14269, 630, 14976, 10767 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10485, 4889, 919, 267, 513, 1870, 17874, 543, 2866, 6109, 8547, 538, 609, 22071, 538, 14977, 2401, 267, 7147, 563, 2026, 513, 1870, 22639, 267, 932, 3089, 814, 31570, 609, 1082, 540, 519, 674, 28232, 3549, 543, 568, 6444, 2429, 519, 1158, 585, 1010, 960, 538, 519, 2127, 540, 7195, 2331, 24143, 11568, 267, 14520, 590, 7950, 267, 2274, 534, 269, 16514, 2835, 827, 3197, 1210, 543, 1818, 11708, 543, 12125, 269, 24143, 589, 1433, 779, 2698, 6060, 568, 1759, 593, 2789, 2188, 267, 1519, 519, 1297, 540, 1004, 945, 723, 20366, 585, 621, 543, 875, 3810, 1346, 17037, 19486, 519, 1433, 563, 20751, 513, 5276, 3113, 267, 972, 616, 2798, 8220, 519, 1239, 547, 1397, 513, 538, 947, 656, 1689, 269, 1452, 3515, 616, 11231, 538, 513, 27312, 543, 26799, 1931, 1759, 593, 519, 1239, 269, 1284, 666, 946, 513, 1899, 3113, 547, 5635, 1114, 3871, 267, 2621, 267, 543, 1344, 563, 2005, 568, 3501, 547, 1397, 519, 2883, 269, 918, 1195, 21129, 2488, 1863, 2645, 547, 948, 9520, 1382, 13632, 543, 824, 10697, 5049, 998, 21686, 15236, 543, 5750, 532, 269, 3776, 3795, 5161, 540, 1226, 885, 267, 21180, 22661, 267, 20304, 267, 2062, 343, 267, 7554, 267, 8994, 7482, 543, 2804, 1239, 563, 2690, 1226, 885, 267, 649, 1683, 3902, 1686, 267, 17950, 267, 9193, 267, 3377, 267, 543, 25135, 32718, 269, 30263, 9578, 543, 30263, 9578, 18234, 9990, 6651, 1504, 8074, 281, 901, 3391, 1504, 585, 519, 30263, 9578, 610, 30263, 9578, 18234, 9990, 609, 5665, 1062, 630, 5308, 264, 4528, 12463, 563, 2252, 707, 9498, 814, 513, 3105, 13013, 4528, 267, 707, 13819, 949, 1413, 1114, 269, 3733, 7731, 16680, 3883, 281, 634, 14168, 10158, 547, 5029, 1125, 9608, 6176, 267, 11038, 12697, 267, 543, 15937, 654, 8460, 585, 7354, 12542, 267, 5516, 326, 1392, 267, 24529, 13079, 12781, 267, 3092, 269, 1496, 305, 4923, 267, 20831, 715, 20426, 593, 2608, 293, 12767, 265, 11288, 593, 27216, 3091, 563, 7069, 7731, 16680, 3883, 281, 634, 14168, 10158, 547, 5029, 1125, 9608, 6176, 267, 11038, 12697, 267, 543, 15937, 654, 8460, 585, 7354, 12542, 18800, 338, 281, 5269, 4190, 1239, 32331, 609, 2052, 9366, 781, 3113, 20536, 269, 9521, 824, 2228, 3113, 15670, 267, 2052, 9366, 3884, 1406, 7294, 610, 942, 21791, 269, 1703, 779, 1100, 1565, 7455, 1107, 596, 3580, 1205, 513, 4190, 3113, 610, 6516, 538, 3764, 267, 7432, 6151, 1239, 883, 1945, 602, 779, 1312, 3308, 543, 2653, 547, 1174, 563, 18719, 1324, 707, 2259, 910, 3113, 1227, 269, 630, 27665, 1218, 262, 946, 540, 11708, 264, 676, 5576, 549, 25005, 267, 22956, 269, 17593, 268, 10055, 1218, 1058, 946, 11708, 547, 3927, 6655, 2883, 1344, 547, 1312, 2883, 4966, 543, 11708, 1034, 4122, 8246, 676, 2272, 1218, 1331, 8880, 3046, 11708, 267, 7299, 6241, 11708, 267, 2650, 12125, 267, 543, 1899, 11708, 563, 11328, 5562, 267, 1863, 2228, 24275, 9498, 689, 2983, 334, 10481, 3630, 281, 3113, 3252, 267, 4729, 1239, 267, 8749, 1793, 11107, 267, 543, 1454, 811, 269, 1403, 596, 2461, 1210, 9185, 972, 568, 513, 1007, 1259, 547, 14650, 2883, 6898, 269, 634, 26700, 568, 891, 12125, 616, 2653, 547, 1711, 1107, 607, 1279, 607, 596, 2461, 3222, 540, 513, 8356, 766, 1107, 855, 519, 17498, 728, 568, 602, 891, 12125, 666, 1406, 581, 3838, 609, 4896, 1210, 9185, 610, 4505, 563, 763, 11708, 1590, 1459, 519, 5013, 9425, 267, 2523, 950, 789, 616, 6829, 538, 2338, 269, 4475, 267, 609, 713, 10959, 267, 596, 786, 1205, 606, 9237, 543, 24669, 6041, 540, 519, 2883, 4605, 540, 519, 2754, 563, 4415, 519, 1114, 2650, 11708, 267, 596, 786, 3180, 519, 3007, 540, 519, 23265, 543, 9946, 585, 3833, 513, 1279, 942, 269, 634, 1344, 1657, 543, 519, 4930, 267, 1118, 13569, 267, 543, 2200, 1657, 786, 581, 1360, 5363, 563, 3719, 519, 1655, 1259, 585, 596, 543, 707, 9164, 547, 1118, 513, 1900, 1689, 6454, 538, 519, 1259, 596, 1459, 2883, 1344, 568, 547, 1305, 909, 513, 16419, 593, 21935, 13186, 269, 634, 3046, 11708, 543, 2650, 12125, 616, 1175, 1114, 2081, 540, 9306, 519, 1482, 1344, 596, 666, 849, 2070, 538, 5359, 563, 30022, 20486, 814, 3670, 2010, 540, 11708, 602, 666, 1683, 909, 547, 476, 1428, 1114, 5784, 540, 707, 1239, 269, 634, 2010, 540, 11708, 2139, 2408, 538, 519, 1739, 3349, 563, 8450, 519, 6990, 811, 5693, 267, 2087, 707, 14769, 2359, 267, 543, 1265, 9621, 1007, 3255, 5488, 982, 2479, 1354, 269, 11565, 539, 676, 5215, 540, 2228, 9520, 2066, 519, 8608, 267, 14351, 2419, 11301, 2306, 621, 2653, 547, 1711, 519, 1357, 781, 5207, 7779, 2883, 12125, 538, 1175, 513, 1906, 2241, 30390, 563, 8620, 269, 8641, 532, 568, 835, 540, 1346, 2645, 602, 596, 1175, 3112, 581, 1510, 269, 4634, 4058, 707, 10865, 6578, 666, 581, 28322, 676, 5373, 909, 513, 3113, 267, 798, 713, 585, 513, 1974, 540, 476, 277, 3275, 543, 4166, 596, 786, 581, 2111, 547, 1294, 1141, 596, 1118, 9073, 543, 1141, 596, 616, 10653, 532, 563, 28398, 1218, 786, 4324, 676, 1210, 11708, 547, 6655, 2883, 1344, 547, 741, 7218, 269, 10403, 24275, 9498, 14678, 11708, 707, 2979, 2042, 269, 4569, 3118, 269, 16731, 4569, 3118, 593, 519, 1357, 269, 8281, 1863, 593, 5616, 7591, 269, 8281, 1863, 593, 1775, 307, 17480, 269, 8281, 1863, 593, 8835, 563, 12606, 1863, 538, 8837, 15188, 269, 1205, 3619, 269, 8641, 532, 269, 9978, 4569, 269, 2776, 25575, 5040, 269, 10789, 269, 26344, 5852, 269, 2776, 20412, 639, 269, 20145, 269, 10803, 269, 5685, 924, 4569, 269, 12430, 10789, 14371, 1429, 338, 543, 741, 7077, 19509, 326, 999, 476, 276, 13536, 649, 13404, 593, 630, 13678, 921, 264, 11708, 269, 849, 1353, 9859, 11708, 610, 2007, 1429, 338, 667, 815, 630, 309, 267, 292, 1070, 1141, 519, 8728, 723, 513, 4287, 267, 602, 568, 267, 519, 8728, 616, 10288, 281, 661, 2340, 488, 484, 966, 6398, 713, 2013, 267, 579, 341, 476, 277, 284, 642, 340, 563, 763, 9859, 11708, 723, 11269, 267, 1141, 519, 8728, 616, 6537, 607, 21985, 269, 0, 300, 1173, 15756, 9986, 14746, 6215, 665, 636, 590, 720, 5013, 585, 3214, 454, 30022, 5013, 585, 3214, 454, 300, 1173, 15756, 9986, 14746, 6215, 665, 636, 590, 720, 454, 306, 720, 538, 476, 4489, 271, 454, 300, 1173, 15756, 9986, 14746, 6215, 665, 636, 454, 20826, 476, 279, 267, 476, 9264, 279, 454, 25238, 1221, 1475, 21776, 476, 275, 267, 476, 4489, 279, 454, 6124, 3840, 4975, 267, 1715, 3840, 267, 772, 2529, 563, 347, 19733, 1475, 307, 5797, 21058, 12054, 2435, 2008, 347, 15447, 333, 585, 1475, 293, 10133, 540, 21651, 590, 720, 5441, 2008, 9852, 269, 476, 5908, 280, 282, 1010, 2669, 476, 5002, 277, 994, 300, 1173, 15756, 13100, 3205, 808, 1069, 664, 454, 347, 9824, 2510, 1475, 11990, 808, 1069, 664, 630, 6588, 526, 15289, 10245, 300, 1173, 15756, 9986, 14746, 6215, 665, 636, 590, 720, 267, 1634, 607, 9986, 14746, 590, 720, 630, 20826, 476, 279, 267, 476, 9264, 279, 1107, 5437, 476, 275, 267, 476, 4489, 279, 1070, 729, 606, 1977, 24960, 626, 1634, 585, 1200, 7418, 547, 2069, 543, 11636, 3123, 269, 769, 476, 5908, 280, 1352, 2968, 519, 2034, 7385, 540, 3775, 828, 3046, 517, 21651, 590, 720, 269, 2311, 1010, 2669, 538, 476, 5002, 277, 267, 1352, 15110, 513, 19539, 6059, 693, 811, 982, 1269, 8287, 267, 1822, 267, 1822, 267, 547, 581, 1031, 693, 1200, 24787, 563, 288, 5449, 4116, 267, 590, 720, 9244, 6462, 2069, 267, 1312, 609, 1982, 543, 2679, 14828, 547, 5204, 2350, 2224, 543, 824, 9945, 269, 2701, 3964, 519, 21651, 590, 720, 7690, 538, 476, 5002, 278, 543, 8547, 21651, 590, 720, 5441, 538, 476, 4489, 277, 267, 607, 1134, 607, 1439, 12976, 3292, 585, 2021, 563, 15900, 1272, 543, 2069, 454, 300, 1173, 15756, 9986, 14746, 6215, 665, 636, 267, 1572, 9986, 14746, 267, 729, 4535, 538, 5204, 2350, 2224, 267, 1715, 3840, 267, 547, 20152, 13100, 3205, 630, 333, 19902, 808, 1069, 664, 264, 543, 9478, 6215, 665, 636, 269, 2991, 519, 7754, 545, 540, 476, 8146, 278, 543, 519, 7771, 540, 12324, 6808, 1739, 4070, 540, 16456, 338, 2066, 519, 1533, 267, 1200, 4651, 781, 4213, 543, 16292, 17346, 3459, 547, 3111, 269, 6736, 1200, 4651, 781, 2883, 9620, 267, 9986, 14746, 729, 13473, 538, 4357, 3506, 543, 21783, 538, 476, 7277, 278, 689, 519, 31684, 21058, 12054, 2435, 630, 331, 831, 1572, 519, 21877, 4024, 731, 3427, 267, 513, 4549, 2218, 1153, 1916, 30469, 14746, 6215, 665, 636, 6462, 9887, 676, 3450, 585, 476, 736, 1296, 538, 5204, 2350, 2224, 267, 1715, 3840, 267, 1141, 1352, 5030, 609, 1200, 3237, 267, 543, 538, 15740, 269, 4173, 4651, 4797, 547, 6560, 543, 538, 476, 6977, 278, 267, 3170, 958, 2192, 609, 21061, 267, 4421, 741, 1920, 1753, 538, 5204, 2350, 2224, 269, 9986, 14746, 543, 1200, 3993, 1185, 547, 1847, 538, 609, 14077, 563, 11321, 5846, 543, 1920, 454, 1103, 476, 5908, 280, 693, 2085, 476, 6078, 267, 9986, 14746, 6215, 665, 636, 9310, 21651, 590, 720, 267, 513, 11097, 1077, 267, 1710, 534, 857, 518, 543, 3775, 828, 3046, 517, 945, 729, 476, 1321, 1296, 4587, 982, 1352, 269, 1358, 1185, 1100, 1453, 269, 2701, 2968, 3238, 538, 2238, 3989, 676, 1200, 1909, 607, 1010, 7385, 563, 1103, 476, 5002, 277, 267, 590, 720, 5747, 543, 2451, 1010, 3003, 19539, 540, 827, 1269, 3583, 2929, 547, 9986, 14746, 267, 1510, 9013, 875, 1352, 1131, 946, 621, 563, 15463, 6138, 729, 20206, 4327, 538, 1200, 2376, 267, 834, 302, 653, 1953, 885, 543, 13786, 4850, 540, 2274, 529, 3293, 6468, 2580, 1519, 834, 3559, 4771, 519, 25031, 676, 3246, 873, 609, 513, 1434, 1604, 267, 4316, 585, 1582, 23418, 677, 543, 1367, 5539, 267, 543, 4027, 689, 519, 796, 2675, 14442, 592, 748, 1701, 11427, 269, 590, 720, 24603, 9139, 6816, 547, 519, 5313, 2229, 607, 606, 1840, 547, 4639, 8672, 563, 1103, 476, 5002, 276, 267, 9986, 14746, 590, 720, 5143, 5204, 2350, 2224, 2160, 602, 1352, 1131, 6718, 962, 919, 16836, 543, 922, 4478, 3959, 547, 2777, 513, 3610, 262, 2852, 269, 901, 4830, 1788, 7152, 1200, 13613, 547, 5204, 2350, 2224, 267, 1200, 8446, 607, 513, 4116, 267, 543, 1200, 7029, 547, 2021, 781, 2069, 269, 769, 476, 5002, 280, 267, 1352, 24603, 1269, 2004, 267, 1822, 547, 5204, 2350, 2224, 593, 1200, 14512, 563, 306, 720, 2968, 513, 19121, 540, 661, 269, 700, 27482, 25595, 630, 1492, 1101, 4807, 538, 519, 1158, 547, 1374, 27858, 264, 1310, 7487, 25595, 781, 1101, 20987, 1374, 693, 606, 14266, 693, 23885, 12384, 25052, 538, 476, 5002, 277, 563, 305, 639, 8688, 590, 720, 7690, 454, 15463, 6574, 2582, 10516, 729, 1269, 1015, 267, 1822, 267, 1822, 538, 476, 5002, 278, 547, 3715, 543, 1439, 578, 519, 21651, 590, 720, 7690, 269, 898, 862, 3827, 2090, 540, 1514, 2152, 543, 15565, 3435, 563, 1103, 476, 5002, 279, 6215, 665, 636, 590, 720, 24603, 1269, 20981, 267, 1822, 547, 23171, 2160, 267, 7175, 519, 6718, 540, 519, 10830, 5264, 3959, 585, 1018, 729, 2919, 607, 519, 6280, 781, 3163, 10830, 269, 769, 476, 5002, 280, 267, 590, 720, 24603, 15579, 518, 8065, 547, 23134, 2160, 267, 3957, 1310, 1200, 2372, 6033, 22660, 18332, 15579, 518, 269, 1261, 1185, 1044, 30201, 3176, 538, 7810, 12590, 585, 1010, 4984, 563, 10521, 1296, 2663, 267, 590, 720, 5795, 1269, 4968, 267, 1822, 547, 26658, 2160, 585, 519, 4070, 540, 513, 2021, 781, 18959, 7480, 267, 20322, 2917, 8065, 267, 3957, 1310, 1200, 3993, 2987, 25237, 269, 4173, 13319, 540, 2021, 781, 2069, 849, 3769, 7616, 519, 4070, 540, 519, 9986, 14746, 21280, 572, 14979, 5600, 538, 476, 4489, 273, 267, 3957, 585, 1200, 20516, 267, 693, 966, 817, 541, 5441, 267, 513, 2021, 781, 2852, 563, 305, 639, 8688, 590, 720, 5441, 454, 1103, 476, 4489, 277, 267, 590, 720, 8547, 21651, 590, 720, 5441, 538, 31684, 267, 1715, 3840, 607, 513, 3102, 2852, 585, 2021, 269, 634, 2852, 568, 4092, 1369, 1018, 814, 2094, 1044, 11280, 607, 519, 8978, 8664, 540, 31684, 267, 606, 1858, 602, 568, 7396, 593, 519, 2817, 19193, 540, 19866, 23089, 269, 681, 17092, 3091, 12666, 6575, 543, 3318, 4110, 3292, 547, 7668, 1053, 547, 1831, 2021, 540, 3310, 538, 741, 11678, 543, 741, 2950, 563, 303, 328, 3205, 5664, 6953, 662, 3427, 454, 19226, 3496, 547 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4357, 9494, 3379, 547, 519, 1463, 1840, 547, 14407, 1587, 256, 645, 6563, 532, 4249, 606, 1271, 1909, 538, 2229, 1412, 338, 6578, 17211, 14340, 950, 519, 2229, 568, 2693, 1862, 13891, 30004, 8952, 12123, 267, 543, 7554, 269, 602, 1412, 338, 1946, 772, 2529, 269, 9777, 2209, 1705, 562, 1405, 723, 547, 10210, 689, 519, 4357, 23511, 27308, 4063, 11729, 267, 1256, 607, 519, 7963, 585, 513, 1279, 942, 3395, 269, 21344, 519, 6578, 476, 1001, 280, 543, 1857, 9806, 4679, 950, 2229, 22939, 811, 982, 621, 11392, 689, 9204, 10770, 1862, 4107, 5491, 832, 1589, 602, 519, 2229, 18664, 4900, 676, 9513, 7221, 971, 607, 3959, 1101, 267, 519, 5491, 832, 2362, 1862, 4934, 933, 662, 338, 519, 3747, 23060, 547, 2628, 585, 519, 10617, 538, 12925, 543, 15787, 269, 5491, 832, 1589, 602, 519, 2229, 24228, 1862, 1975, 754, 607, 1454, 607, 2009, 17211, 538, 1079, 2081, 547, 2569, 922, 6578, 17211, 519, 15558, 1154, 540, 269, 4024, 2693, 6529, 547, 7059, 23348, 610, 1507, 22907, 543, 8804, 9541, 5097, 609, 5665, 21045, 729, 7836, 256, 13201, 1044, 3384, 543, 10115, 538, 1648, 3785, 9001, 6932, 4066, 1519, 7791, 1648, 630, 267, 256, 6875, 593, 1007, 7963, 547, 23231, 519, 7963, 786, 2333, 519, 17211, 538, 1079, 2081, 2569, 256, 12181, 4400, 25286, 1752, 20607, 630, 610, 22938, 20607, 15426, 891, 616, 1572, 22938, 7554, 1421, 6608, 786, 1447, 269, 14986, 1586, 538, 476, 1001, 271, 607, 513, 12343, 540, 519, 20789, 29773, 7963, 6433, 269, 607, 519, 7963, 585, 513, 1279, 907, 14068, 267, 15234, 8525, 476, 273, 1412, 338, 4123, 17211, 568, 1710, 2331, 676, 7963, 267, 568, 269, 14451, 1981, 3478, 513, 6318, 267, 4466, 513, 1732, 2816, 267, 610, 10519, 856, 10040, 1862, 5516, 827, 519, 1857, 7963, 269, 540, 4357, 9494, 3379, 547, 519, 20789, 849, 6336, 8907, 12424, 687, 1862, 10815, 982, 835, 3562, 14633, 14340, 607, 513, 15944, 9304, 269, 8387, 1832, 9621, 23466, 811, 28011, 1488, 2478, 607, 513, 1267, 267, 1034, 27504, 2799, 519, 6578, 585, 513, 1279, 942, 1205, 2208, 1394, 3950, 256, 1280, 2477, 547, 5066, 936, 7963, 269, 2197, 949, 9949, 593, 922, 7963, 269, 4881, 6578, 22907, 5491, 832, 3747, 1719, 269, 9324, 558, 3990, 538, 602, 2197, 1412, 338, 4123, 17211, 568, 513, 10927, 1153, 32082, 543, 814, 1044, 543, 256, 3619, 10002, 4660, 267, 741, 5491, 6060, 726, 17026, 1115, 616, 2870, 6009, 543, 3395, 519, 4346, 2724, 256, 6554, 666, 1832, 4946, 1142, 1032, 1412, 338, 17211, 547, 519, 20789, 540, 602, 2197, 9304, 1862, 16010, 741, 22907, 3079, 540, 13326, 519, 6578, 476, 1001, 280, 8375, 27308, 4063, 11729, 267, 1256, 607, 12014, 1862, 13044, 268, 866, 593, 2229, 7963, 267, 713, 568, 4867, 11278, 4968, 5479, 950, 602, 4523, 267, 519, 13362, 9782, 1586, 538, 607, 256, 6270, 607, 3959, 2229, 1185, 6578, 1147, 680, 4926, 267, 4352, 2043, 267, 3549, 267, 543, 1152, 9878, 519, 5934, 8569, 7963, 1862, 769, 2229, 1412, 338, 6578, 18083, 922, 17211, 609, 27308, 12014, 267, 4967, 267, 543, 1152, 9878, 519, 8569, 1862, 589, 6318, 267, 4466, 513, 1732, 2104, 519, 2197, 1412, 338, 9304, 269, 1909, 538, 2229, 1412, 338, 6578, 17211, 24228, 2810, 269, 4658, 2724, 547, 6108, 267, 799, 2417, 25242, 2208, 568, 3238, 538, 3384, 1648, 3785, 9001, 6932, 1519, 256, 0, 16274, 676, 8176, 25303, 267, 1362, 540, 476, 6642, 280, 267, 891, 1614, 5449, 12370, 15032, 3964, 519, 26790, 10163, 9689, 13477, 593, 2904, 476, 4029, 267, 476, 6245, 275, 538, 8065, 779, 11785, 1876, 5604, 269, 634, 2832, 540, 519, 3919, 729, 968, 1410, 2424, 540, 2609, 24379, 892, 689, 519, 2197, 563, 1432, 729, 519, 1292, 3804, 540, 519, 26790, 10163, 9689, 13477, 888, 763, 3804, 540, 713, 3915, 267, 1572, 968, 2304, 2920, 547, 10038, 519, 11776, 540, 30659, 547, 267, 543, 519, 15335, 538, 267, 519, 2136, 2276, 2223, 729, 547, 2569, 607, 1454, 607, 2009, 519, 1297, 540, 11082, 689, 8828, 543, 8109, 2342, 1247, 2810, 519, 1297, 540, 11082, 689, 8832, 543, 5375, 2342, 945, 519, 13477, 2219, 941, 6693, 1432, 1705, 519, 11776, 10163, 9689, 798, 888, 763, 26790, 2920, 540, 476, 4572, 275, 3908, 519, 1297, 540, 11082, 4847, 7127, 883, 519, 2136, 2276, 998, 513, 3084, 8129, 844, 7974, 269, 634, 844, 7974, 3177, 11776, 1471, 553, 547, 1079, 2600, 540, 519, 2698, 1297, 540, 1004, 540, 1142, 22874, 538, 519, 2136, 2276, 607, 540, 519, 476, 6245, 271, 3084, 14829, 563, 1432, 1705, 519, 26790, 10163, 9689, 13477, 1616, 28866, 888, 763, 26790, 10163, 9689, 13477, 4941, 547, 20818, 513, 7924, 1449, 593, 782, 11082, 267, 799, 6837, 5293, 563, 1692, 1705, 519, 26790, 10163, 9689, 13477, 15974, 547, 3970, 11776, 888, 1692, 1705, 519, 26790, 10163, 9689, 13477, 15974, 547, 3970, 11776, 286, 2560, 898, 1577, 11082, 685, 1920, 2818, 6294, 3433, 267, 855, 711, 31356, 563, 1432, 729, 519, 3483, 540, 519, 26790, 10163, 9689, 2920, 538, 5245, 888, 10666, 519, 6519, 5245, 3609, 454, 763, 26790, 10163, 9689, 2920, 729, 835, 540, 519, 1101, 20448, 4031, 5293, 1310, 18966, 269, 898, 729, 1759, 593, 519, 4540, 4031, 540, 519, 10125, 269, 634, 2832, 540, 519, 1876, 729, 547, 3970, 1875, 22554, 630, 31860, 7489, 264, 11776, 547, 5245, 267, 547, 948, 1832, 5245, 2048, 23873, 17483, 1432, 729, 519, 26790, 10163, 9689, 13477, 543, 1018, 2242, 547, 2797, 7589, 1705, 621, 12167, 28866, 888, 1432, 729, 519, 26790, 10163, 9689, 13477, 543, 1018, 2242, 547, 2797, 7589, 1705, 621, 12167, 286, 12878, 2082, 538, 476, 6245, 275, 676, 11785, 4648, 269, 1358, 1500, 513, 8325, 11984, 1063, 2025, 543, 1007, 11082, 269, 2349, 5446, 4683, 6760, 543, 6710, 547, 2527, 13864, 593, 519, 1007, 11082, 563, 1432, 729, 519, 1198, 540, 519, 26790, 10163, 9689, 2920, 888, 1103, 476, 5002, 272, 519, 26790, 10163, 9689, 2920, 3927, 8694, 782, 1875, 26049, 11776, 676, 3246, 585, 13675, 18362, 538, 3864, 4654, 563, 1432, 729, 519, 26790, 10163, 9689, 2920, 543, 950, 729, 621, 5189, 888, 2304, 2920, 547, 1747, 1978, 9993, 593, 26790, 543, 547, 1683, 585, 519, 8851, 689, 519, 20448, 540, 19275, 8056, 580, 7847, 269, 1496, 10112, 5034, 547, 476, 2537, 6113, 5412, 267, 476, 5002, 272, 24358, 3412, 332, 12568, 10163, 9689, 2920, 476, 5002, 272, 563, 347, 14630, 540, 2667, 550, 1475, 2537, 5463, 476, 5002, 272, 2008, 347, 3725, 701, 4705, 676, 1475, 300, 12568, 2920, 476, 4198, 279, 2008, 1432, 729, 519, 3804, 540, 2817, 17959, 2920, 476, 4572, 275, 888, 763, 3804, 540, 519, 2817, 17959, 2920, 729, 547, 1852, 1312, 519, 7274, 543, 2298, 540, 772, 2529, 269, 11082, 538, 606, 4674, 547, 2061, 2417, 11761, 540, 519, 6803, 9152, 328, 268, 512, 542, 540, 772, 2529, 269, 2486, 563, 1432, 941, 930, 540, 519, 4128, 1946, 3864, 11082, 941, 4947, 547, 2661, 538, 1715, 3840, 4975, 28866, 888, 1432, 941, 930, 540, 519, 4128, 1946, 3864, 11082, 941, 4947, 547, 2661, 538, 1715, 3840, 4975, 286, 3509, 3864, 11082, 8452, 538, 519, 2136, 2276, 543, 12306, 538, 1715, 3840, 4975, 269, 4107, 11082, 941, 4057, 543, 1223, 1152, 6488, 547, 2661, 538, 519, 22125, 512, 2940, 906, 538, 1715, 3840, 4975, 563, 8005, 729, 513, 13653, 540, 519, 26790, 10163, 9689, 13477, 28866, 888, 296, 268, 634, 26790, 10163, 9689, 13477, 267, 729, 8547, 538, 476, 6245, 275, 676, 15818, 8176, 25303, 267, 6172, 520, 6048, 7917, 1546, 290, 712, 1097, 24156, 267, 543, 18607, 3465, 22574, 674, 563, 3963, 1705, 3864, 11082, 2097, 547, 519, 2136, 2276, 888, 293, 548, 4370, 7693, 5821, 267, 2244, 543, 2816, 22520, 267, 8375, 9204, 267, 543, 26380, 267, 1082, 3357, 547, 519, 772, 269, 590, 269, 1317, 621, 729, 9228, 607, 519, 2244, 540, 2804, 4316, 269, 2560, 2060, 519, 12614, 540, 2182, 2804, 2053, 538, 519, 476, 6942, 271, 338, 267, 3864, 11082, 543, 4892, 3459, 547, 14526, 585, 519, 6009, 12926, 11603, 585, 519, 4457, 563, 1692, 1279, 1705, 519, 26790, 10163, 9689, 13477, 2063, 888, 763, 13477, 7283, 3742, 585, 5176, 8938, 1296, 267, 855, 1310, 519, 2669, 540, 8065, 741, 1648, 530, 534, 539, 267, 543, 519, 13477, 5555, 771, 7171, 539, 269, 3465, 22574, 674, 563, 2691, 729, 519, 26790, 10163, 9689, 13477, 1500, 888, 763, 26790, 10163, 9689, 13477, 630, 7644, 299, 264, 729, 606, 3919, 2813, 538, 476, 6245, 275, 676, 12370, 20021, 8176, 25303, 267, 7917, 1546, 290, 712, 1097, 24156, 267, 543, 3465, 22574, 10787, 985, 10290, 8065, 630, 19604, 10542, 2160, 7732, 7046, 26888, 5358, 267, 562, 6155, 28593, 1432, 729, 519, 4102, 30070, 3815, 585, 11082, 4947, 547, 519, 2136, 2276, 888, 2467, 941, 4440, 607, 1082, 4128, 585, 4947, 547, 3013, 607, 972, 941, 1004, 945, 3357, 2560, 8616, 621, 666, 581, 1767, 602, 1614, 1804, 4229, 1107, 3909, 20655, 267, 2797, 15746, 543, 2804, 27465, 1107, 3177, 519, 8783, 24500, 585, 519, 2527, 4955, 5928, 547, 938, 24528, 269, 0, 20791, 1101, 3923, 454, 298, 9655, 690, 1846, 340, 568, 606, 2680, 593, 519, 476, 1428, 628, 1554, 540, 519, 1007, 1032, 269, 2107, 267, 476, 274, 2395, 689, 476, 1691, 628, 547, 476, 1626, 628, 267, 610, 689, 23863, 593, 476, 1691, 628, 547, 23863, 593, 476, 1428, 628, 267, 610, 593, 519, 1554, 540, 4126, 630, 21459, 7599, 1070, 610, 476, 1428, 2395, 689, 1715, 5729, 781, 4303, 547, 476, 1428, 628, 269, 18679, 23192, 519, 16264, 11706, 267, 621, 949, 581, 4371, 593, 5130, 476, 1428, 628, 540, 519, 1007, 11706, 1310, 519, 2725, 25702, 11706, 6963, 267, 610, 593, 28527, 6361, 5025, 613, 4303, 630, 1492, 2034, 11728, 540, 5130, 264, 689, 476, 1220, 271, 563, 6124, 5729, 781, 4303, 630, 528, 689, 1715, 5729, 781, 4303, 547, 5130, 476, 278, 628, 264, 568, 1572, 19248, 880, 334, 267, 6466, 621, 568, 1572, 713, 1259, 269, 898, 568, 849, 17479, 607, 519, 1439, 540, 519, 1715, 5729, 630, 32173, 958, 2394, 519, 1439, 540, 519, 3923, 1040, 19974, 267, 5822, 1715, 5729, 267, 8479, 4658, 267, 21058, 1715, 5729, 267, 27003, 1715, 5729, 269, 1703, 616, 849, 4525, 1572, 17776, 1715, 5729, 543, 17776, 1715, 5729, 563, 2005, 568, 5156, 547, 581, 513, 20276, 656, 540, 519, 1249, 602, 519, 1554, 540, 4126, 729, 519, 4098, 540, 519, 3923, 1354, 519, 4367, 540, 519, 4457, 561, 684, 529, 6897, 11706, 563, 6097, 547, 834, 298, 690, 340, 11445, 590, 2967, 329, 5942, 2580, 799, 568, 519, 590, 2967, 329, 5942, 540, 519, 14520, 667, 2106, 770, 625, 267, 834, 4002, 519, 476, 1428, 628, 1554, 540, 519, 1715, 5729, 267, 1118, 21167, 521, 731, 1149, 267, 1039, 3282, 593, 1283, 540, 621, 267, 543, 1671, 327, 9068, 519, 7450, 269, 2334, 10543, 267, 519, 13711, 3993, 2987, 25237, 729, 20888, 269, 4475, 267, 649, 786, 25837, 519, 2104, 16536, 11988, 15273, 9440, 543, 693, 519, 1482, 942, 2062, 5408, 519, 1857, 12602, 269, 27029, 1103, 519, 2025, 523, 2395, 267, 1018, 729, 538, 519, 12566, 3529, 2394, 713, 1507, 1715, 5729, 630, 6518, 21243, 519, 918, 611, 558, 1846, 340, 2394, 713, 1554, 264, 729, 1767, 547, 581, 2394, 519, 19248, 880, 334, 1715, 5729, 593, 5130, 476, 278, 676, 519, 1931, 540, 519, 15480, 1872, 11867, 1744, 690, 684, 622, 538, 519, 3798, 334, 1974, 267, 855, 621, 814, 3262, 3544, 519, 23006, 334, 3148, 269, 594, 4769, 1405, 1205, 621, 563, 2005, 568, 22232, 547, 3548, 2699, 21167, 11188, 16466, 713, 6640, 267, 543, 621, 568, 849, 1572, 834, 288, 330, 1846, 25431, 11188, 16466, 257, 1317, 621, 568, 13881, 2038, 538, 519, 6640, 267, 543, 834, 4462, 14765, 11188, 16466, 257, 610, 834, 306, 752, 3120, 11188, 16466, 257, 1317, 540, 519, 2681, 540, 519, 2699, 10365, 269, 769, 3504, 2053, 267, 834, 307, 6242, 21208, 7288, 257, 543, 834, 15031, 329, 4157, 257, 849, 2446, 602, 789, 17696, 1273, 329, 4157, 1282, 519, 3689, 9509, 9855, 16635, 269, 4634, 1631, 267, 972, 616, 930, 2127, 538, 519, 6917, 2127, 540, 519, 1677, 327, 18602, 3148, 1141, 519, 2688, 540, 4189, 2699, 21167, 11188, 16466, 3788, 538, 4395, 540, 32371, 747, 334, 269, 769, 891, 2127, 267, 621, 568, 1419, 15333, 785, 5344, 547, 3548, 740, 345, 25431, 10365, 630, 528, 782, 2699, 23469, 3536, 267, 1519, 5779, 264, 689, 1715, 5729, 781, 4303 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 24135, 4826, 10866, 538, 24543, 454, 2171, 2461, 7487, 1808, 2152, 609, 7148, 1216, 2298, 538, 24543, 267, 607, 5216, 856, 540, 476, 2190, 17694, 9765, 2635, 7182, 269, 634, 17694, 1331, 26537, 1756, 268, 277, 267, 21668, 5308, 18025, 23859, 288, 267, 1488, 11420, 545, 267, 670, 14900, 659, 2045, 7408, 267, 543, 7101, 1756, 563, 11039, 1216, 538, 24543, 949, 849, 723, 513, 5835, 512, 16636, 543, 4232, 1084, 4212, 17627, 1813, 547, 16247, 543, 512, 2335, 1231, 563, 300, 22585, 779, 7148, 1216, 568, 1869, 2808, 2922, 547, 4235, 267, 855, 621, 779, 1271, 547, 581, 3222, 540, 519, 1761, 4220, 269, 1284, 991, 547, 3251, 21713, 543, 3136, 547, 6895, 519, 3510, 547, 2327, 938, 3885, 543, 2950, 3251, 2922, 563, 1607, 568, 2523, 3020, 607, 649, 5912, 547, 7234, 519, 1808, 2152, 609, 7148, 1216, 2298, 538, 26054, 16047, 563, 11854, 6900, 12983, 2060, 24135, 4826, 10866, 538, 26054, 16047, 454, 5978, 1699, 4901, 6212, 593, 519, 1808, 2152, 609, 7148, 1216, 2298, 538, 26054, 16047, 267, 1141, 2947, 856, 540, 476, 2190, 17694, 9765, 661, 310, 294, 4808, 269, 26054, 16047, 6019, 4826, 16958, 2488, 1216, 585, 5176, 476, 7785, 267, 1822, 7264, 563, 2419, 668, 1756, 268, 277, 267, 25914, 622, 267, 670, 14900, 659, 2045, 7408, 267, 11192, 2468, 15595, 558, 996, 6951, 267, 543, 7101, 1756, 616, 1851, 519, 17694, 269, 1452, 666, 2014, 1585, 1072, 8374, 563, 26773, 1216, 609, 1164, 7777, 1543, 666, 6492, 17285, 610, 15280, 269, 898, 666, 849, 2014, 561, 1307, 7051, 19221, 538, 21818, 1949, 563, 19894, 5464, 543, 4152, 948, 2226, 2922, 6704, 1216, 585, 519, 1857, 269, 1284, 1058, 581, 3222, 540, 1761, 12526, 543, 1491, 5539, 585, 2973, 6704, 1216, 563, 28444, 1005, 15822, 25530, 4826, 543, 9608, 26930, 454, 2026, 513, 2146, 267, 649, 1590, 11441, 547, 2327, 2922, 6704, 1216, 543, 1491, 2123, 5539, 585, 922, 11091, 563, 2171, 666, 798, 713, 676, 912, 272, 264, 16424, 543, 4152, 1857, 1216, 1949, 5781, 563, 273, 264, 17553, 4441, 585, 2922, 6704, 1216, 563, 274, 264, 17291, 1761, 2152, 609, 1216, 2298, 563, 2710, 532, 891, 1919, 666, 948, 2226, 2922, 6704, 1216, 585, 782, 563, 2171, 1590, 849, 581, 3222, 540, 6923, 9648, 17694, 543, 1491, 15416, 547, 2569, 4598, 1141, 2009, 563, 2005, 779, 1271, 547, 581, 5483, 543, 1491, 14942, 3268, 547, 2149, 938, 1216, 543, 938, 1072, 563, 4415, 1702, 543, 2962, 267, 649, 666, 2327, 2922, 6704, 1216, 585, 938, 2950, 563, 32552, 540, 8419, 24135, 4826, 454, 2171, 4076, 1044, 3181, 908, 519, 3106, 540, 8419, 779, 7148, 1216, 267, 543, 621, 779, 1271, 547, 1174, 519, 2959, 267, 1761, 17694, 267, 543, 1808, 2152, 609, 1216, 2298, 538, 519, 1533, 563, 307, 777, 1216, 538, 8419, 568, 21433, 689, 15780, 6864, 28875, 267, 543, 568, 5701, 547, 4894, 17694, 269, 11192, 2468, 15595, 558, 996, 6951, 630, 307, 8025, 16039, 1070, 10300, 334, 659, 2045, 7408, 630, 295, 8150, 276, 1070, 15279, 10052, 550, 26388, 267, 2234, 1756, 267, 543, 28227, 616, 782, 1336, 538, 519, 1533, 779, 7148, 1216, 563, 300, 22585, 5937, 1228, 4826, 16958, 5713, 936, 476, 273, 269, 274, 2929, 1004, 543, 814, 5216, 17694, 23630, 2635, 7182, 267, 1247, 26054, 16047, 6019, 4826, 16958, 5713, 5176, 476, 7785, 267, 1822, 1004, 543, 814, 2947, 17694, 23630, 661, 310, 294, 4808, 563, 2171, 782, 723, 513, 5539, 547, 2327, 2922, 6704, 1216, 267, 543, 2229, 8041, 5781, 6895, 543, 1449, 1857, 1216, 1949, 547, 10018, 4441, 616, 1558, 269, 2755, 7148, 1216, 538, 8419, 568, 3622, 2922, 267, 649, 1590, 2611, 21713, 543, 11441, 585, 31934, 6454, 563, 13126, 543, 9615, 540, 8419, 24135, 4826, 454, 294, 1430, 532, 938, 2200, 689, 8419, 779, 11895, 6864, 28875, 267, 649, 2461, 8156, 519, 1216, 547, 4894, 17694, 543, 2327, 2922, 6704, 1216, 585, 782, 269, 3245, 6094, 3037, 6106, 543, 1164, 1216, 7515, 547, 4028, 2551, 2208, 543, 5230, 11811, 267, 938, 3646, 547, 2844, 513, 7347, 1216, 3761, 616, 13934, 269, 3371, 779, 875, 649, 2461, 7863, 938, 1216, 912, 268, 13281, 585, 17694, 543, 5781, 5464, 1216, 1949, 454, 268, 12305, 532, 19288, 1949, 547, 4894, 2168, 23606, 454, 268, 3447, 908, 7264, 827, 519, 2956, 540, 25137, 1216, 454, 2171, 1174, 602, 1569, 547, 2922, 6704, 1216, 568, 513, 2596, 1480, 1318, 543, 616, 8149, 547, 12419, 1216, 602, 10742, 519, 5207, 4441, 269, 3776, 3804, 568, 547, 1683, 2922, 267, 1164, 7779, 6704, 1216, 547, 782, 269, 1284, 2461, 6131, 547, 7863, 519, 1604, 543, 8497, 938, 10475, 1216, 2200, 585, 2104, 5481, 563, 763, 8827, 2433, 634, 5682, 1656, 26192, 454, 2691, 7234, 519, 7148, 1216, 2298, 538, 8419, 267, 621, 779, 7543, 547, 26777, 519, 7418, 540, 634, 5682, 1656, 26192, 269, 1280, 936, 476, 2420, 1296, 267, 789, 723, 1044, 6131, 547, 4180, 602, 7579, 573, 2103, 723, 1569, 547, 519, 1655, 1216, 2298, 2009, 269, 3414, 741, 3102, 1216, 19288, 543, 21352, 532, 3435, 267, 634, 5682, 1656, 26192, 9607, 519, 3309, 2591, 15054, 676, 8419, 779, 7148, 1216, 563, 5804, 19713, 519, 1379, 540, 9357, 5385, 547, 2709, 1283, 2389, 1512, 1216, 21352, 532, 3435, 547, 3246, 513, 3099, 540, 19288, 1949, 3358, 585, 8419, 779, 2189, 1216, 9043, 267, 789, 723, 11179, 1044, 693, 519, 21282, 540, 17420, 519, 1072, 543, 1134, 5630, 540, 7264, 2066, 519, 1533, 269, 4256, 5131, 769, 6953, 727, 4826, 4530, 2417, 11363, 741, 7029, 267, 5356, 7579, 573, 2103, 513, 2312, 5813, 883, 741, 7148, 1216, 779, 2298, 269, 1924, 267, 607, 649, 5490, 2620, 883, 519, 14960, 540, 8419, 779, 7148, 1216, 267, 621, 779, 1898, 547, 5431, 519, 26106, 342, 11301, 899, 634, 5682, 1656, 26192, 945, 1404, 513, 11358, 1909, 538, 4180, 602, 1169, 6749, 649, 8532, 568, 607, 6986, 607, 621, 1058, 581, 563, 21761, 18542, 5999, 454, 1432, 3657, 519, 7043, 31645, 2657, 12186, 540, 25530, 2552, 3133, 730, 24135, 4826, 888, 16524, 3856, 4598, 547, 13572, 7148, 1216, 666, 2014, 3978, 1072, 4220, 267, 1519, 2860, 267, 10285, 2152, 267, 543, 14715, 23043, 269, 898, 779, 1271, 547, 581, 3222, 540, 1761, 17694, 543, 723, 707, 1216, 7318, 547, 2327, 621, 779, 2922, 547, 4235, 563, 3674, 24135, 4826, 538, 8419, 15822, 585, 29283, 888, 8133, 267, 7148, 1216, 538, 8419, 568, 2922, 547, 4235, 1107, 855, 1152, 952, 596, 2461, 8348, 547, 1491, 5539, 585, 1620, 519, 4220, 269, 1635, 9363, 5483, 543, 2921, 23833, 3800, 267, 649, 666, 2972, 519, 5191, 540, 2922, 6704, 1216, 563, 1432, 21474, 2052, 594, 6875, 547, 3550, 519, 8881, 540, 3733, 25530, 4826, 888, 2171, 666, 2327, 519, 3106, 540, 938, 6704, 1216, 676, 5781, 5464, 543, 4152, 621, 585, 17694, 269, 853, 11691, 5483, 543, 2921, 15324, 3800, 666, 948, 721, 2057, 1761, 4220, 269, 7743, 3653, 12871, 543, 9319, 14107, 666, 948, 1832, 938, 6704, 1216, 2922, 563, 6701, 1703, 7102, 22769, 538, 9255, 547, 13363, 18830, 16140, 4248, 2552, 8727, 888, 8133, 267, 519, 16501, 814, 6042, 538, 1747, 547, 2149, 1996, 15780, 12526, 269, 1280, 1383, 267, 519, 5021, 8764, 656, 1377, 585, 570, 8025, 16039, 568, 476, 3199, 6032, 321, 267, 1247, 519, 661, 310, 294, 15565, 476, 271, 269, 1428, 6032, 321, 269, 3683, 476, 736, 2929, 8419, 7264, 723, 28041, 2362, 31032, 3146, 5570, 2105, 9830, 540, 17694, 563, 1432, 2052, 594, 1684, 547, 21079, 3733, 22452, 547, 2552, 3133, 1218, 538, 24135, 4826, 888, 2171, 666, 2569, 938, 4598, 547, 17694, 538, 7148, 1216, 676, 1210, 1216, 12086, 267, 9319, 4357, 19401, 267, 543, 1373, 3222, 540, 2199, 1216, 2298, 5359, 269, 30799, 538, 513, 1216, 19288, 1062, 666, 948, 4894, 17694, 689, 938, 7148, 1216, 269, 3958, 267, 9319, 4357, 19401, 543, 1373, 3222, 540, 2199, 1216, 2298, 5359, 666, 948, 2327, 602, 938, 6704, 1216, 568, 2922, 563, 2171, 4076, 8268, 519, 2959, 543, 12526, 540, 8419, 779, 7148, 1216, 267, 519, 1808, 17694, 1459, 267, 543, 2152, 609, 7148, 1216, 2298, 538, 24543, 543, 26054, 16047, 563, 2171, 4076, 5941, 519, 3800, 3144, 547, 2327, 2922, 6704, 1216, 543, 2123, 5539, 563, 3719, 519, 10700, 2243, 3788, 281, 568, 8419, 779, 7148, 1216, 2922, 547, 4235, 888, 763, 2626, 3884, 1406, 865, 2241, 267, 855, 609, 519, 1318, 15416, 267, 596, 666, 581, 2386, 602, 596, 2461, 6704, 2922, 543, 2973, 1216, 563, 3383, 1018, 2461, 596, 7996, 585, 888, 12648, 5279, 540, 707, 1072, 543, 3106, 2221, 256 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5650, 3843, 547, 11168, 602, 1317, 568, 269, 15681, 952, 519, 27744, 616, 3982, 267, 519, 14802, 27523, 616, 16798, 547, 875, 547, 2638, 952, 513, 5119, 568, 15497, 14184, 23511, 7464, 27744, 267, 543, 2417, 3467, 952, 972, 616, 476, 274, 4830, 14802, 27523, 585, 519, 27744, 256, 13201, 715, 30314, 30314, 30314, 26008, 1862, 12384, 1483, 610, 1950, 14290, 3738, 856, 519, 1739, 2042, 827, 519, 15497, 1436, 540, 513, 15497, 14184, 1862, 2334, 568, 9647, 690, 517, 958, 4511, 334, 30692, 2522, 14184, 267, 8058, 602, 589, 268, 272, 568, 9647, 690, 517, 958, 15497, 14184, 19839, 334, 7325, 476, 1556, 1412, 1724, 693, 606, 256, 589, 476, 274, 343, 274, 5119, 267, 875, 666, 594, 2995, 952, 519, 5119, 568, 15497, 14184, 2489, 1018, 616, 519, 543, 1862, 594, 993, 2016, 513, 476, 274, 343, 274, 5119, 267, 875, 666, 594, 2995, 952, 519, 27744, 616, 3982, 267, 519, 14802, 27523, 16798, 256, 1677, 6338, 547, 596, 1879, 568, 513, 1888, 602, 1082, 1004, 616, 3168, 585, 3533, 2697, 607, 256, 1656, 28809, 519, 8984, 9971, 267, 596, 666, 2638, 538, 9971, 942, 2436, 519, 5119, 568, 538, 3200, 1043, 5272, 1862, 19881, 3296, 568, 602, 972, 616, 1079, 2081, 602, 513, 5119, 568, 15497, 14184, 799, 4564, 19852, 568, 1862, 1656, 1152, 952, 585, 1142, 14802, 7407, 519, 10155, 540, 519, 14802, 7407, 543, 9587, 1141, 519, 2338, 2099, 513, 1239, 907, 3657, 476, 274, 4830, 14802, 27523, 15497, 14184, 713, 568, 513, 5119, 543, 594, 1131, 899, 547, 917, 952, 621, 547, 269, 3657, 16798, 547, 581, 4830, 27744, 616, 3982, 267, 519, 14802, 27523, 616, 547, 1862, 2549, 2016, 513, 476, 274, 343, 274, 5119, 267, 1287, 5119, 568, 15497, 14184, 713, 568, 5119, 1862, 589, 6629, 272, 568, 849, 15497, 14184, 5294, 543, 931, 540, 1142, 540, 891, 8021, 267, 540, 4009, 1483, 610, 1950, 3738, 256, 634, 15497, 616, 15497, 14184, 676, 26667, 14290, 594, 2995, 952, 519, 27744, 616, 267, 29755, 8058, 602, 589, 268, 272, 568, 9647, 690, 517, 958, 4511, 334, 30692, 2522, 14184, 267, 8058, 602, 589, 268, 272, 568, 4511, 334, 30692, 2522, 14184, 256, 2986, 891, 8021, 15497, 616, 15497, 14184, 676, 26667, 14290, 15497, 14184, 5119, 538, 3200, 1043, 4564, 19852, 3515, 256, 13216, 14290, 3738, 568, 1770, 776, 1152, 25241, 14184, 952, 621, 568, 15497, 14184, 5918, 6088, 27744, 476, 274, 27744, 269, 27336, 6548, 538, 9343, 543, 9587, 1141, 519, 2338, 2099, 513, 1239, 1305, 11532, 538, 519, 681, 5752, 1893, 25241, 14184, 621, 269, 19336, 602, 568, 9647, 690, 517, 958, 15497, 14184, 6030, 2560, 616, 1079, 2081, 602, 513, 5119, 594, 269, 4934, 519, 1739, 2042, 827, 519, 20131, 707, 5119, 568, 606, 26667, 5119, 5119, 814, 1614, 1114, 23511, 11638, 13109, 540, 519, 14802, 7407, 952, 972, 616, 1079, 2081, 602, 513, 5119, 543, 594, 1131, 899, 547, 538, 1862, 15020, 1271, 3738, 1107, 19839, 334, 7325, 476, 1556, 1412, 1724, 693, 476, 1724, 281, 1428, 606, 562, 343, 333, 5119, 568, 15497, 1242, 621, 3587, 1360, 547, 1862, 5700, 952, 621, 568, 267, 1265, 513, 20060, 532, 983, 5119, 623, 865, 602, 568, 9647, 690, 517, 958, 11783, 645, 9795, 7684, 1862, 5272, 15497, 14184, 5119, 568, 606, 26667, 5119, 1294, 952, 596, 1265, 14290, 3982, 256, 1284, 723, 547, 2638, 952, 649, 666, 1265, 4830, 14802, 27523, 585, 519, 5918, 6088, 27744, 1114, 256, 4144, 21192, 14184, 676, 26667, 14290, 602, 519, 5119, 568, 1770, 776, 540, 891, 8021, 715, 1175, 256, 634, 5119, 568, 15497, 1242, 621, 3587, 1360, 2653, 547, 6318, 621, 547, 8870, 7060, 1287, 589, 6629, 272, 568, 849, 2807, 1215, 666, 594, 2995, 952, 519, 5119, 568, 15497, 14184, 713, 568, 513, 1888, 602, 1004, 269, 28088, 2059, 891, 3515, 15497, 14184, 594, 281, 11778, 543, 6201, 547, 11168, 602, 1317, 621, 1360, 256, 26321, 547, 519, 3818, 13109, 540, 519, 552, 580, 839, 10628, 568, 3160, 547, 519, 3818, 13109, 540, 552, 580, 839, 10628, 256, 5272, 15497, 14184, 5119, 538, 3200, 1043, 1265, 4830, 14802, 27523, 693, 476, 1724, 281, 1428, 606, 562, 343, 333, 5119, 568, 15497, 1242, 621, 3587, 1360, 547, 1421, 8058, 602, 589, 268, 272, 568, 9647, 690, 517, 958, 15497, 14184, 1239, 1305, 1287, 589, 6629, 272, 568, 849, 15497, 14184, 28011, 7756, 267, 1287, 5119, 568, 606, 5044, 540, 2338, 11231, 538, 9343, 543, 9587, 1141, 519, 2099, 1862, 3657, 16798, 547, 581, 15497, 14184, 2418, 616, 1114, 267, 1287, 5119, 568, 606, 5044, 2338, 1862, 1403, 596, 1265, 14290, 609, 3982, 27744, 630, 3818, 13109, 815, 476, 272, 3738, 596, 1058, 3533, 2697, 607, 256, 18880, 616, 1114, 267, 1287, 5119, 568, 1770, 776, 7325, 476, 1556, 1412, 1724, 693, 476, 1724, 281, 1428, 606, 5119, 269, 1772, 513, 20060, 532, 983, 15497, 14184, 5119, 267, 1287, 5119, 568, 15497, 1242, 621, 3587, 1360, 2653, 547, 6318, 621, 8870, 269, 11638, 13109, 815, 476, 272, 3738, 596, 1058, 3533, 2697, 1346, 607, 25241, 14184, 723, 715, 267, 1175, 3843, 547, 11168, 1317, 269, 769, 9343, 543, 9587, 1141, 519, 2338, 2099, 513, 1239, 1305, 5752, 286, 2336, 1708, 271, 513, 32142, 2200, 3909, 2090, 0, 1012, 1284, 289, 310, 528, 298, 10819, 692, 2162, 16534, 700, 305, 692, 2421, 9986, 14746, 670, 11367, 20620, 10831, 540, 30491, 281, 476, 275, 692, 2171, 616, 3843, 547, 946, 16534, 700, 305, 547, 1265, 519, 3070, 547, 713, 2243, 630, 5408, 3239, 2020, 4913, 267, 3079, 540, 3478, 519, 4397, 2626, 630, 1492, 5119, 20886, 274, 3910, 15631, 272, 316, 8079, 649, 2461, 3478, 513, 476, 273, 343, 273, 4642, 5119, 780, 21104, 762, 3515, 540, 3009, 616, 7396, 2630, 780, 1432, 616, 649, 3257, 27235, 2496, 259, 341, 273, 291, 815, 28758, 309, 10725, 263, 275, 267, 272, 5148, 1269, 291, 815, 19336, 31912, 274, 267, 276, 25662, 272, 267, 273, 316, 8079, 3248, 258, 18771, 581, 1572, 676, 513, 19336, 4569, 30606, 563, 259, 24987, 18693, 815, 259, 291, 15010, 338, 9876, 318, 28384, 263, 30467, 263, 259, 341, 273, 291, 9984, 285, 10520, 2821, 5148, 645, 9680, 2562, 318, 22333, 7876, 1979, 269, 16534, 700, 305, 1548, 568, 519, 3070, 547, 519, 1062, 1496, 291, 343, 815, 1422, 11355, 28452, 348, 316, 286, 1496, 287, 20735, 318, 7901, 263, 275, 267, 1789, 264, 7711, 30297, 1496, 287, 8382, 26705, 20055, 2891, 9795, 8442, 7711, 30297, 567, 2608, 28557, 8382, 4433, 2567, 265, 1496, 259, 24987, 18693, 6540, 2608, 11514, 2452, 539, 8382, 630, 12898, 519, 1813, 4266, 2567, 265, 20886, 259, 24987, 18693, 14963, 13673, 291, 318, 22333, 7876, 4888, 306, 263, 259, 24987, 18693, 15010, 322, 5404, 31156, 2162, 1234, 281, 16534, 700, 305, 692, 2421, 9986, 14746, 670, 11367, 20620, 28989, 267, 519, 3239, 8959, 547, 11904, 585, 930, 2601, 269, 7490, 1294, 5291, 2517, 19112, 584, 2593, 14121, 340, 309, 13993, 289, 339, 585, 519, 26518, 3239, 780, 2162, 1234, 281, 16534, 700, 305, 692, 2421, 5096, 728, 595, 969, 821, 20620, 763, 1966, 568, 602, 4194, 318, 28384, 3085, 1405, 2132, 1018, 596, 1589, 621, 1281, 269, 634, 1505, 3096, 519, 7222, 835, 689, 519, 19336, 18600, 10189, 267, 543, 602, 7024, 1614, 1919, 281, 519, 10155, 267, 519, 25739, 6152, 267, 543, 519, 3490, 5119, 269, 1452, 616, 6045, 538, 519, 5532, 2985, 630, 14142, 585, 4194, 318, 28384, 1040, 1924, 596, 1223, 798, 2901, 454, 263, 259, 323, 267, 259, 24987, 18693, 267, 259, 311, 264, 815, 259, 291, 15010, 338, 9876, 318, 28384, 263, 30467, 263, 259, 341, 273, 291, 9984, 285, 10520, 2821, 5148, 476, 610, 1269, 24987, 18693, 815, 18121, 291, 15010, 338, 9876, 318, 28384, 263, 30467, 263, 259, 341, 273, 291, 9984, 285, 10520, 2821, 4297, 314, 271, 316, 16963, 1729, 1205, 519, 1267, 602, 596, 616, 3168, 585, 269, 898, 7140, 856, 602, 952, 596, 3651, 519, 5044, 540, 1614, 547, 519, 22185, 8096, 24987, 18693, 267, 621, 4991, 8655, 547, 519, 2063, 3693, 538, 519, 5044, 630, 1492, 3490, 5119, 1070, 799, 568, 519, 476, 273, 343, 273, 4642, 5119, 596, 616, 7487, 269, 0, 258, 27387, 281, 4635, 13392, 3069, 547, 1265, 3193, 543, 1295, 2798, 593, 513, 3113, 2496, 272, 269, 12361, 4635, 13392, 3069, 547, 1265, 3193, 543, 1295, 2798, 593, 513, 3113, 2496, 1607, 568, 538, 519, 1641, 1543, 540, 606, 981, 594, 1544, 547, 1694, 855, 594, 1810, 1405, 723, 1250, 1257, 1433, 2943, 865, 594, 993, 2324, 689, 1863, 2200, 2228, 267, 855, 594, 723, 2760, 2938, 713, 1354, 543, 594, 666, 1405, 1265, 4376, 899, 621, 676, 10478, 24440, 267, 23248, 2576, 1934, 666, 2995, 803, 1141, 547, 1265, 811, 9623, 593, 713, 780, 257, 8794, 13392, 3069, 630, 2254, 11810, 264, 547, 1265, 519, 2009, 2418, 540, 519, 1599, 543, 519, 10974, 540, 519, 5021, 610, 5934, 2798, 593, 519, 3113, 780, 292, 326, 585, 586, 815, 1535, 273, 266, 273, 24474, 273, 268, 275, 343, 267, 952, 586, 815, 737, 1287, 1535, 273, 266, 273, 815, 330, 343, 273, 910, 476, 275, 330, 343, 10484, 7617, 814, 1483, 5072, 952, 476, 1626, 330, 273, 1341, 476, 279, 330, 910, 476, 279, 3436, 270, 284, 476, 271, 267, 26759, 952, 737, 21742, 284, 910, 272, 610, 737, 3436, 270, 284, 476, 272, 270, 273, 282, 630, 15124, 518, 982, 610, 11224, 281, 3436, 270, 284, 2020, 1805, 566, 776, 2798, 616, 630, 272, 267, 910, 272, 264, 543, 11196, 273, 267, 476, 272, 270, 273, 1040, 5016, 12552, 10484, 11219, 820, 692, 273, 269, 12361, 1234, 281, 4635, 13392, 3069, 547, 1265, 3193, 543, 1295, 2798, 593, 513, 3113, 2496, 2414, 1265, 519, 19335, 1448, 585, 513, 29236, 267, 946, 519, 1249, 602, 713, 4386, 693, 519, 14584, 267, 799, 568, 593, 519, 7852, 540, 15340, 267, 610, 1535, 815, 910, 321, 14370, 273, 320, 6393, 274, 269, 12361, 1234, 281, 4635, 13392, 3069, 547, 1265, 3193, 543, 1295, 2798, 593, 513, 3113, 2496, 296, 917, 855, 519, 2243, 3884, 1405, 827, 25158, 15614, 267, 922, 827, 7787, 3252, 538, 2489, 780, 275, 269, 12361, 1234, 281, 4635, 13392, 3069, 547, 1265, 3193, 543, 1295, 2798, 593, 513, 3113, 2496, 9767, 666, 1405, 2731, 10994, 834, 2102, 1968, 7787, 3252, 257, 609, 1175, 834, 638, 7310, 1738, 3069, 6231, 6011, 1197, 267, 952, 535, 3287, 264, 815, 623, 3287, 8358, 304, 3287, 1070, 1141, 623, 3287, 264, 543, 1627, 3287, 264, 616, 21335, 540, 4110, 2999, 476, 274, 267, 1287, 835, 666, 946, 1018, 835, 6487, 827, 834, 638, 7310, 1738, 21335, 257, 630, 1706, 629, 15614, 6393, 15290, 649, 1305, 586, 815, 737, 267, 1018, 649, 616, 3257, 568, 3843, 547, 1265, 630, 29985, 264, 5021, 543, 5934, 2418, 585, 737, 630, 6518, 568, 586, 267, 519, 1871, 540, 535, 3287, 4297, 780, 6748, 519, 13392, 3069, 267, 649, 1287, 1413, 585, 519, 1535, 781, 602, 2285, 1346, 2418, 585, 586, 1384, 344, 815, 910, 272, 25341, 1535, 273, 1341, 476, 273, 815, 476, 275, 343, 910, 1535, 273, 25341, 476, 273, 343, 273, 910, 476, 275, 343, 1341, 476, 273, 815, 476, 271, 25341, 1535, 273, 910, 476, 273, 343, 1341, 476, 272, 815, 476, 271, 25341, 1535, 815, 476, 272, 780, 810, 630, 272, 16427, 272, 264, 568, 513, 19335, 1448, 780, 344, 815, 476, 272, 270, 273, 25341, 476, 273, 343, 273, 1341, 476, 275, 815, 1535, 273, 910, 476, 275, 343, 25341, 1535, 273, 1341, 476, 275, 343, 1341, 476, 275, 815, 476, 271, 25341, 1535, 815, 910, 273, 780, 810, 11196, 273, 267, 272, 270, 273, 264, 568, 1776, 19335, 1448, 780, 11960, 4373, 810, 2484, 267, 713, 1152, 6645, 721, 535, 814, 513, 834, 701, 752, 257, 610, 513, 834, 1998, 2917, 257, 693, 1346, 1079, 2798, 630, 528, 7654, 267, 606, 1102, 3005, 1448, 1040, 2094, 519, 14009, 1317, 3768, 18249, 693, 1535, 815, 476, 271, 267, 543, 1535, 815, 476, 275, 267, 649, 1616, 547, 1413, 693, 875, 535, 31136, 593, 519, 1739, 4525, 1384, 268, 31236, 2999, 1535, 2999, 910, 273, 454, 268, 273, 2999, 1535, 2999, 476, 271, 454, 271, 2999, 1535, 2999, 476, 272, 454, 272, 2999, 1535, 2999, 476, 275, 454, 275, 2999, 1535, 2999, 3980, 508, 692, 257, 333, 792, 257, 910, 31236, 267, 630, 854, 1804, 2942, 1535, 264, 535, 3287, 264, 568, 2282, 476 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 589, 1283, 4919, 5470, 540, 524, 7397, 538, 519, 667, 4932, 786, 3132, 513, 5123, 5470, 540, 524, 10774, 267, 535, 2590, 525, 538, 519, 4611, 31785, 6945, 269, 8210, 5558, 538, 6093, 667, 4932, 338, 2039, 689, 476, 1015, 547, 476, 1789, 332, 630, 310, 6504, 543, 30733, 5069, 267, 476, 1960, 273, 1070, 31552, 602, 7446, 513, 6292, 540, 2592, 609, 9948, 15595, 1063, 476, 736, 543, 476, 2568, 332, 786, 6556, 606, 31785, 6248, 6482, 609, 606, 5470, 1732, 982, 524, 1315, 554, 513, 815, 1341, 476, 272, 270, 273, 4783, 267, 610, 1341, 1691, 6515, 585, 661, 11965, 269, 9540, 2418, 540, 9948, 3873, 316, 666, 9633, 1256, 1804, 6786, 609, 31074, 783, 1283, 4919, 535, 2590, 525, 269, 769, 606, 3665, 630, 663, 4686, 264, 2013, 267, 7136, 517, 6339, 543, 3171, 580, 331, 630, 1960, 276, 320, 264, 20114, 513, 1283, 4919, 5470, 540, 524, 9625, 476, 7742, 332, 267, 10199, 476, 279, 2053, 3677, 982, 519, 3370, 8856, 585, 519, 667, 4932, 269, 901, 31074, 20998, 519, 535, 16206, 4806, 3812, 676, 513, 1507, 13091, 269, 3680, 532, 971, 10539, 3340, 3168, 693, 1896, 31785, 9999, 609, 1114, 2418, 540, 688, 269, 1280, 606, 13091, 267, 519, 1297, 540, 524, 846, 1143, 545, 535, 2590, 525, 1281, 711, 4096, 593, 688, 269, 27321, 2360, 666, 849, 635, 12393, 519, 7664, 540, 606, 31785, 6945, 269, 11569, 267, 7648, 538, 519, 31659, 4994, 540, 519, 7708, 1842, 335, 1877, 616, 519, 1699, 12145, 2707, 540, 5470, 538, 519, 5442, 306, 2752, 4480, 630, 20112, 7322, 267, 476, 1960, 276, 282, 7136, 517, 6339, 543, 3171, 580, 331, 267, 476, 1960, 276, 320, 282, 25347, 1696, 620, 1421, 476, 1960, 277, 282, 20579, 599, 516, 543, 7136, 517, 6339, 267, 476, 1960, 277, 282, 14858, 321, 12027, 1696, 620, 1421, 476, 1960, 278, 282, 17713, 11420, 267, 476, 1220, 271, 1040, 15783, 569, 267, 835, 1223, 25657, 513, 1283, 4919, 15040, 609, 513, 12761, 267, 952, 18640, 2360, 1711, 535, 2590, 525, 799, 834, 327, 1872, 257, 519, 27177, 899, 26048, 3515, 267, 855, 799, 2268, 519, 1689, 538, 7708, 1842, 335, 8879, 8488, 269, 901, 1198, 729, 1101, 4767, 607, 1896, 3492, 878, 535, 2590, 525, 538, 513, 476, 272, 6377, 31785, 6945, 593, 24398, 269, 18264, 3534, 630, 22709, 517, 6339, 543, 3171, 580, 331, 267, 476, 1960, 279, 282, 2142, 7596, 340, 4897, 1696, 620, 1421, 476, 1220, 271, 1040, 2290, 666, 5431, 713, 11029, 1198, 1210, 6292, 3772, 7954, 630, 22709, 517, 6339, 543, 3171, 580, 331, 267, 476, 1960, 276, 320, 264, 610, 1210, 513, 667, 4932, 543, 2199, 14368, 1670, 7422, 630, 22013, 659, 22620, 1696, 620, 1421, 476, 1960, 279, 282, 13879, 1696, 620, 1421, 476, 1960, 279, 1040, 1717, 267, 19459, 519, 7708, 1842, 335, 8879, 6846, 689, 519, 22636, 5365, 666, 581, 4101, 267, 3226, 950, 519, 5365, 568, 1507, 267, 552, 3052, 1421, 519, 9588, 476, 276, 269, 273, 13091, 2282, 853, 269, 6754, 632, 674, 523, 537, 32576, 267, 5333, 630, 305, 15282, 543, 7136, 517, 6339, 267, 476, 1960, 280, 1916, 272, 269, 278, 590, 2752, 3955, 2536, 5852, 901, 2520, 617, 2045, 4480, 21410, 519, 13779, 4806, 3361, 676, 519, 5123, 3017, 1063, 1079, 2592, 9715, 676, 513, 2230, 25645, 10991, 27934, 16986, 630, 306, 2752, 264, 693, 1079, 3982, 2053, 269, 634, 4611, 31785, 6945, 568, 513, 26048, 4786, 540, 519, 1689, 538, 3845, 1063, 519, 2666, 543, 519, 16986, 6293, 269, 3962, 535, 16206, 4564, 513, 2039, 1689, 540, 3368, 519, 15423, 269, 4935, 267, 519, 26048, 8884, 568, 476, 2764, 6515, 585, 595, 7171, 2234, 1513, 971, 607, 661, 11965, 543, 681, 4696, 12678, 2969, 543, 10199, 2185, 2053, 3677, 267, 476, 10219, 6515, 585, 519, 700, 1532, 663, 808, 8991, 9682, 269, 1452, 7851, 1683, 606, 5667, 584, 10139, 539, 8901, 10386, 5860, 630, 349, 1911, 335, 1460, 1564, 14790, 268, 273, 1070, 513, 8013, 8856, 630, 349, 272, 4699, 264, 543, 513, 3730, 8343, 20017, 775, 630, 272, 1780, 270, 24629, 1070, 607, 4330, 538, 513, 2689, 2376, 676, 7136, 517, 6339, 543, 3171, 580, 331, 630, 1960, 279, 1070, 799, 568, 22950, 337, 1078, 1934, 269, 1677, 7001, 606, 13091, 267, 5442, 306, 2752, 3340, 1614, 1239, 5036, 281, 513, 590, 2752, 3239, 1354, 519, 13091, 267, 835, 1310, 267, 543, 1283, 4919, 1344, 269, 634, 590, 2752, 2592, 2933, 616, 3638, 1239, 5036, 1134, 13006, 538, 519, 6552, 15392, 3332, 630, 10501, 1633, 518, 543, 5062, 10673, 965, 267, 476, 1960, 272, 282, 26673, 3205, 543, 11066, 267, 476, 1960, 279, 1040, 634, 1283, 4919, 1344, 568, 2556, 547, 2203, 543, 4894, 519, 31785, 6248, 535, 2590, 525, 3361, 676, 1283, 4919, 8323, 607, 834, 16308, 538, 8305, 334, 257, 689, 5594, 1114, 2798, 540, 2070, 269, 1677, 6023, 519, 1283, 4919, 9295, 267, 649, 666, 3442, 1063, 519, 834, 18314, 1790, 817, 257, 1935, 630, 324, 3052, 1421, 7136, 517, 6339, 543, 3171, 580, 331, 267, 476, 1960, 279, 264, 543, 519, 834, 22764, 1790, 817, 257, 610, 834, 29602, 1673, 29924, 257, 1935, 630, 324, 3052, 1421, 14858, 321, 12027, 1696, 620, 1421, 476, 1960, 275, 1040, 1280, 13091, 2090, 267, 972, 568, 2356, 513, 4123, 11325, 1063, 519, 1079, 1790, 817, 1935, 267, 799, 3340, 513, 3059, 15038, 2203, 630, 291, 4932, 1070, 543, 519, 1614, 1790, 817, 1935, 267, 799, 3340, 513, 3791, 590, 2752, 11601, 269, 4329, 4901, 540, 3448, 26350, 540, 519, 1079, 268, 543, 1614, 1790, 817, 4485, 616, 3564, 519, 9165, 540, 713, 3184, 269, 1677, 4612, 606, 31785, 6945, 267, 835, 1590, 1174, 875, 1114, 2360, 3565, 547, 519, 535, 16206, 4806, 269, 3509, 4051, 633, 1806, 2408, 538, 2689, 4574, 676, 7136, 517, 6339, 543, 3171, 580, 331, 630, 1960, 279, 1070, 631, 6758, 523, 543, 14858, 321, 12027, 630, 1960, 279, 264, 543, 26990, 10458, 1696, 620, 269, 630, 1220, 271, 1040, 634, 6310, 3877, 2408, 538, 1776, 2689, 630, 289, 600, 2401, 543, 19134, 331, 267, 476, 1960, 279, 1040, 17713, 11420, 630, 1220, 272, 264, 814, 2854, 513, 9488, 1837, 269, 1280, 13091, 2090, 267, 519, 1034, 1271, 2360, 4125, 1283, 4919, 8323, 267, 20771, 24551, 267, 543, 7708, 1842, 335, 8879, 1201, 3555, 267, 2356, 538, 4999, 269, 1403, 519, 1283, 4919, 1344, 630, 320, 667, 4932, 585, 1079, 1790, 817, 267, 610, 519, 834, 9008, 334, 6292, 257, 538, 1614, 1790, 817, 5442, 306, 2752, 264, 568, 538, 5470, 267, 519, 31785, 6945, 786, 2270, 31074, 783, 535, 2590, 525, 269, 1358, 2408, 538, 519, 1482, 4087, 538, 1169, 31785, 6945, 3812, 1210, 602, 1283, 4919, 2203, 269, 1677, 22945, 713, 1198, 267, 7136, 517, 6339, 543, 15887, 320, 1393, 630, 1960, 274, 264, 5581, 519, 15820, 540, 13509, 688, 607, 519, 6521, 538, 15820, 2877, 547, 3132, 835, 1283, 4919, 535, 16206, 269, 11569, 267, 713, 9936, 568, 11201, 569, 14354, 547, 519, 13902, 5057, 540, 519, 9497, 21353, 5202, 8442, 6152, 19459, 519, 1079, 20771, 24551, 2676, 272, 269, 279, 4856, 21975, 540, 5565, 22647, 1606, 14819, 16103, 898, 568, 849, 2009, 547, 3713, 630, 26171, 264, 524, 846, 1143, 545, 771, 2897, 906, 676, 12633, 908, 1079, 9804, 2592, 269, 634, 834, 25419, 257, 10321, 6059, 1063, 519, 7222, 1016, 335, 31242, 2281, 540, 513, 840, 638, 820, 543, 513, 2022, 638, 820, 3239, 11729, 519, 8880, 3334, 540, 519, 524, 846, 1143, 545, 12761, 6152, 609, 11281, 7400, 8856, 543, 20267, 10309, 6571, 630, 290, 23774, 523, 267, 476, 1960, 273, 282, 595, 23774, 523, 543, 2349, 558, 267, 476, 1960, 273, 282, 11709, 10658, 2096, 15842, 324, 1188, 1696, 620, 1421, 476, 1220, 271, 1040, 634, 1482, 4480, 849, 10039, 547, 590, 2752, 2592, 269, 1635, 12633, 908, 1079, 17266, 6733, 454, 277, 1321, 13216, 630, 306, 9448, 264, 590, 2752, 17931, 9497, 10587, 322, 2660, 8442, 2592, 9715, 693, 1114, 2053, 267, 18466, 1696, 620, 269, 630, 1960, 280, 264, 6027, 2666, 771, 2897, 906, 585, 519, 8092, 619, 13091, 269, 4256, 1267, 568, 834, 320, 1079, 8820, 12761, 2361, 609, 4830, 7403, 1169, 827, 476, 12553, 544, 538, 20842, 574, 3578, 543, 476, 7742, 332, 538, 2039, 269, 634, 6111, 5673, 593, 519, 4162, 540, 519, 2592, 269, 1280, 519, 8092, 619, 1449, 2013, 5941, 538, 519, 1353, 267, 519, 476, 272, 8584, 10462, 568, 476, 271, 269, 279, 544, 538, 2039, 543, 476, 271, 269, 275, 544, 538, 20842, 574, 3578, 269, 1496, 5445, 316, 1397, 602, 713, 6482, 2488, 513, 4786, 540, 2101, 2627, 13337, 8297, 696, 999, 4977, 547, 1732, 982, 476, 272, 5998, 543, 606, 1344, 593, 524, 846, 1143, 545, 22636, 13380, 547, 519, 476, 10844, 15870, 7403, 2139, 269, 4014, 1447, 4977, 267, 713, 4480, 568, 811, 7347, 982, 590, 2752, 31785, 5852, 543, 2488, 513, 14911, 1344, 2094, 31785, 9999, 616, 1152, 6213, 547, 519, 12761, 538, 2039, 1701, 630, 31466, 3559, 1696, 620, 1421, 476, 1960, 280, 8094, 273, 269, 6480, 26305, 32495, 820, 30352, 676, 769, 11437, 540, 2983, 617, 2045, 4578, 454, 325, 5435, 15429, 814, 3259, 700, 543, 8700, 654, 269, 634, 17277, 593, 519, 13337, 7077, 568, 513, 6152, 772, 609, 1614, 3334, 267, 772, 272, 267, 772, 273, 267, 543, 772, 274, 269, 634, 2990, 10974, 540, 519, 13337, 15429, 616, 661, 267, 715, 267, 543, 546, 267, 3144, 2318, 7532, 267, 5087, 267, 543, 1524, 269, 634, 20842, 574, 3578, 513, 3947, 519, 10880, 540, 519, 13337, 267, 538, 5232, 29628, 689, 5087, 269, 7053, 267, 606, 20626, 6849, 2059, 10880, 1058, 1294, 519, 13337, 16702, 693, 476, 277, 5232, 547, 1010, 1318, 269, 634, 21411, 3385, 6724, 8428, 5594, 689, 519, 6724, 23163, 676, 17688, 5505, 269, 769, 1880, 267, 519, 5169, 540, 21411, 3385, 781, 13337, 15429, 1281, 711, 14626, 728, 609, 519, 1298, 5514, 693, 519, 12166, 4099, 540, 519, 13337, 13551, 630, 8722, 580, 331, 543, 13660, 1440, 277, 267, 476, 1960, 280, 1040, 1280, 513, 5595, 2275, 537, 921, 2707, 267, 519, 28995, 5057, 8709, 8460, 630, 308, 274, 284, 271, 264, 543, 519, 17277, 6152, 772, 6013, 538, 519, 13337, 7077, 269, 1530, 1143, 5505, 5581, 519, 986, 651, 5086, 678, 971, 602, 16009, 678, 815, 772, 345, 270, 308, 272, 630, 288, 7288, 543, 27672, 267, 476, 2735, 271, 1040, 769, 14287, 267, 678, 284, 2969, 3198, 273, 263, 308, 345, 267, 772, 272, 264, 1141, 11083, 3198, 273, 568, 519, 8912, 11123, 15045, 3198, 17271, 1599, 585, 818, 551, 836, 550, 630, 308, 345, 270, 308, 272, 264, 593, 519, 2039, 1496, 910, 476, 272, 476, 279, 476, 271, 9625, 1341, 5197, 349, 589, 19876, 325, 5435, 532, 7271, 267, 585, 1383, 267, 814, 772, 273, 3436, 476, 271, 543, 678, 3436, 476, 271, 269, 589, 3339, 13337, 532, 7271, 267, 593, 519, 824, 1688, 267, 814, 772, 273, 2999, 476, 271, 543, 678, 2999, 476, 271, 269, 6684, 267, 2451, 2000, 8632, 17277, 10522, 772, 272, 3436, 476, 271, 543, 7054, 331, 9041, 283, 3445, 9625, 6466, 1318, 2000, 8632, 17277, 10522, 772, 272, 9041, 285, 271, 543, 7054, 331, 3436, 318, 476, 3445, 9625, 454, 273, 269, 274, 7201, 2391, 2667, 636, 6877, 476, 273, 269, 272, 634, 9208, 4432, 2880, 21009, 1606, 10628, 7844, 454, 3602, 476, 277, 329, 330, 568, 519, 918, 337, 821, 14982, 18232, 267, 589, 543, 1948, 616, 19681, 349, 262, 338, 14170, 267, 642, 330, 568, 519, 4287, 25482, 540, 519, 3339, 547, 519, 2627, 3693, 546, 292, 267, 543, 519, 14805, 566, 15007, 10039, 269, 634, 2165, 579, 314, 568, 519, 476, 603, 5057, 540, 519, 12761, 693, 630, 343, 331, 267, 1535, 273, 267, 1535, 274, 264, 1813, 547, 519, 795, 628, 4287, 1448, 3196, 540, 9588, 674, 693, 630, 349, 272, 267, 9625, 273, 267, 9625, 274, 1040, 1280, 519, 2347, 1305, 540, 4834, 1294, 21411, 3385, 630, 2735, 276, 1070, 945, 849, 2953, 338, 3105, 8174, 725, 269, 589, 1857, 26730, 664, 2780, 1982, 15824, 891, 9273, 630, 8722, 580, 331, 543, 13660, 1440, 349, 267, 476, 1960, 280, 1040, 595, 6817, 681, 7582, 6224, 301, 267, 713, 1982, 568, 3769, 593, 519, 18361, 7131, 268, 15375, 896, 519, 15682, 1422, 4391, 8722, 580, 331, 269, 21411, 3385, 630, 1960, 273, 264, 15824, 713, 9819, 693, 1022 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2797, 6138, 543, 13919, 2275, 1712, 540, 6004, 269, 8834, 5136, 328, 267, 513, 5449, 17294, 540, 1323, 600, 3630, 3557, 269, 1261, 1336, 741, 23339, 1033, 652, 762, 267, 16339, 27809, 267, 705, 1817, 1370, 267, 543, 20868, 563, 5522, 11691, 3020, 547, 1826, 267, 6004, 269, 8834, 5136, 328, 267, 945, 1031, 547, 581, 513, 1283, 4759, 540, 623, 7894, 267, 23564, 2797, 5428, 267, 543, 8678, 519, 23267, 9549, 269, 1261, 568, 267, 1631, 519, 16232, 11134, 540, 519, 23267, 9549, 269, 4595, 1010, 2797, 13743, 1336, 19671, 593, 519, 4262, 24528, 540, 519, 23267, 9549, 267, 519, 8560, 540, 602, 5428, 814, 865, 1563, 609, 930, 2797, 2462, 10381, 11836, 519, 2797, 5428, 547, 2220, 749, 922, 16034, 563, 3086, 267, 6004, 269, 8834, 5136, 328, 779, 8425, 324, 601, 543, 3540, 2213, 1259, 540, 2184, 10107, 267, 1010, 17611, 748, 531, 540, 1010, 2797, 24866, 267, 543, 32538, 540, 1010, 5718, 27356, 8124, 814, 10769, 1563, 1864, 547, 519, 13999, 269, 3571, 18531, 267, 799, 616, 2575, 547, 938, 10772, 267, 723, 1336, 16982, 1851, 519, 32249, 10126, 540, 13280, 779, 2551, 269, 5136, 328, 779, 9118, 18793, 267, 945, 1289, 2933, 519, 744, 10292, 323, 1304, 2073, 723, 3144, 936, 519, 2166, 1499, 10628, 1141, 789, 616, 9070, 908, 1010, 19237, 543, 5009, 1010, 2797, 6596, 1155, 563, 5353, 1242, 676, 5136, 328, 17907, 807, 267, 5136, 328, 779, 18793, 616, 20834, 2358, 1489, 585, 1864, 18487, 585, 11815, 529, 269, 3767, 267, 513, 5354, 540, 30645, 31655, 723, 10412, 539, 593, 547, 519, 2856, 540, 519, 4644, 267, 2956, 267, 543, 519, 16122, 540, 4543, 6004, 269, 8834, 27068, 5136, 328, 267, 519, 23267, 9549, 16232, 11134, 267, 547, 3094, 519, 476, 1708, 274, 16232, 9550, 269, 4256, 3597, 532, 585, 1864, 267, 799, 568, 1759, 593, 741, 8226, 540, 1864, 607, 938, 2797, 31050, 267, 568, 513, 20381, 844, 820, 602, 786, 1689, 938, 2797, 5251, 543, 5337, 924, 519, 4720, 540, 938, 2797, 2528, 269, 1772, 4838, 711, 2907, 7192, 2393, 538, 13280, 1631, 286, 1924, 2436, 6004, 269, 8834, 5136, 328, 17993, 519, 476, 1708, 274, 16232, 9550, 610, 711, 568, 1799, 1468, 547, 721, 563, 3719, 646, 6763, 513, 1390, 4960, 540, 6932, 519, 16771, 540, 519, 476, 1708, 274, 16232, 16311, 267, 952, 519, 9550, 786, 581, 1863, 543, 4023, 269, 594, 723, 1044, 5706, 532, 519, 20882, 547, 1376, 5466, 6004, 269, 5136, 328, 607, 519, 19670, 5518, 540, 13280, 269, 0, 22709, 568, 2965, 513, 22185, 2647, 3099, 602, 779, 6140, 6766, 676, 519, 1007, 24880, 269, 769, 1068, 807, 568, 519, 4187, 856, 6361, 606, 6221, 547, 2087, 741, 1533, 540, 5163, 952, 538, 2013, 606, 21286, 3196, 729, 1031, 593, 621, 269, 4475, 267, 606, 6221, 602, 723, 4514, 2527, 814, 513, 30856, 4356, 540, 8396, 6991, 269, 634, 4195, 2450, 3823, 606, 6221, 2337, 596, 547, 917, 519, 1259, 646, 11998, 519, 1007, 3077, 729, 538, 519, 1747, 540, 8904, 269, 898, 779, 3586, 1317, 519, 2527, 5170, 547, 581, 519, 3169, 1482, 593, 1114, 1558, 1886, 565, 2478, 693, 519, 513, 2016, 942, 269, 12769, 584, 5270, 543, 596, 949, 4320, 2119, 3710, 2987, 7907, 2476, 689, 6927, 269, 1280, 519, 2653, 16166, 267, 1945, 602, 8952, 2527, 543, 3217, 909, 1858, 849, 814, 2834, 640, 543, 5860, 269, 18833, 519, 4276, 9170, 1063, 12136, 543, 4908, 267, 835, 1058, 4865, 513, 1991, 8223, 540, 1293, 269, 12769, 584, 5270, 666, 581, 7150, 607, 519, 1297, 540, 13557, 1459, 538, 513, 1570, 2348, 9672, 4320, 269, 12769, 584, 5270, 2048, 338, 519, 6580, 8151, 689, 13557, 543, 596, 949, 4320, 269, 1284, 1223, 1174, 2429, 519, 12136, 1175, 875, 18172, 519, 6675, 1055, 606, 6221, 729, 14095, 3823, 6035, 1858, 269, 634, 6216, 1007, 11098, 540, 707, 1378, 3077, 2760, 7369, 799, 723, 3337, 543, 2450, 563, 32701, 12136, 1522, 581, 12012, 4470, 593, 519, 2837, 543, 596, 786, 2604, 2322, 593, 519, 6221, 8754, 2417, 8309, 547, 519, 1689, 585, 519, 6219, 269, 22039, 568, 2965, 513, 2168, 2647, 3099, 602, 568, 1759, 593, 1297, 543, 596, 666, 20475, 519, 476, 274, 21021, 519, 2179, 540, 606, 1843, 602, 568, 5462, 676, 1210, 519, 30080, 4090, 522, 340, 3926, 269, 1323, 30688, 267, 519, 7274, 856, 540, 513, 1390, 13306, 568, 6697, 547, 2427, 2053, 4395, 2427, 2053, 4395, 269, 9603, 547, 519, 1249, 2427, 540, 513, 4009, 568, 519, 1482, 267, 649, 666, 1118, 8653, 540, 602, 4395, 13306, 269, 3958, 267, 606, 1620, 540, 5860, 543, 596, 949, 4908, 2094, 519, 2489, 2474, 543, 2175, 568, 10123, 1271, 269, 3371, 267, 4320, 568, 519, 15629, 2230, 4904, 585, 519, 827, 1614, 17114, 689, 519, 513, 6225, 2339, 267, 950, 596, 1265, 3054, 12136, 568, 519, 13557, 585, 1142, 543, 1169, 3937, 856, 540, 2834, 640, 563, 763, 7274, 540, 513, 7623, 568, 1614, 8820, 269, 898, 779, 6569, 2094, 2450, 950, 596, 1413, 693, 519, 827, 1614, 4388, 538, 1747, 540, 2749, 6382, 8653, 267, 543, 519, 4320, 540, 1007, 6219, 7868, 1587, 2298, 3926, 26224, 2268, 2834, 640, 729, 25451, 269, 634, 3926, 568, 2965, 10736, 883, 1804, 543, 4130, 2645, 585, 1383, 513, 6225, 1232, 9014, 610, 9481, 516, 585, 875, 2462, 610, 1507, 519, 2698, 2179, 568, 2965, 267, 621, 779, 2944, 676, 8806, 8840, 909, 270, 14921, 676, 519, 9937, 267, 7366, 267, 1082, 267, 543, 865, 593, 269, 634, 5767, 11098, 540, 1022, 1843, 568, 4330, 607, 519, 1007, 2450, 2476, 689, 596, 547, 9090, 3077, 585, 1142, 3926, 4320, 269, 12769, 584, 5270, 2337, 547, 6430, 875, 15982, 6382, 2484, 2476, 519, 1007, 6675, 568, 2965, 14095, 883, 519, 9672, 4055, 269, 634, 6574, 10196, 1634, 607, 5246, 574, 26433, 4092, 519, 2219, 540, 1007, 12769, 584, 5270, 856, 540, 606, 1843, 269, 2201, 11973, 1982, 267, 12769, 584, 5270, 568, 2965, 18886, 950, 596, 1413, 693, 519, 4846, 8276, 274, 602, 779, 17814, 1317, 519, 667, 610, 7790, 269, 634, 6216, 1007, 5860, 3823, 513, 6219, 3112, 2981, 896, 930, 29886, 2175, 3079, 4470, 593, 519, 2179, 269, 10089, 330, 31963, 593, 6708, 2016, 602, 649, 666, 711, 3313, 519, 4195, 1007, 2450, 3823, 513, 7623, 609, 1100, 1702, 540, 922, 2834, 640, 610, 824, 8733, 4170, 269, 1703, 568, 6266, 856, 540, 3017, 538, 2527, 543, 596, 949, 11098, 711, 607, 1454, 607, 1114, 4170, 543, 18312, 2609, 543, 596, 786, 7135, 269, 25756, 568, 519, 1769, 652, 11046, 543, 3568, 835, 10116, 1007, 2450, 1055, 26775, 799, 568, 519, 2034, 1769, 652, 269, 25756, 8444, 1129, 909, 2059, 609, 1200, 547, 1106, 835, 11140, 855, 596, 547, 9090, 11140, 689, 7250, 22179, 4724, 3368, 607, 1454, 607, 513, 2582, 26775, 11046, 269, 9603, 547, 519, 1915, 540, 707, 1378, 4492, 267, 930, 2179, 689, 7250, 4492, 568, 5111, 3368, 540, 519, 4195, 1007, 5860, 856, 540, 26775, 4492, 711, 607, 1454, 607, 6697, 4170, 269, 1717, 23463, 585, 519, 17571, 543, 596, 949, 6704, 1216, 519, 4276, 2476, 689, 11098, 568, 1454, 811, 4359, 269, 634, 5767, 6046, 610, 7636, 23466, 2170, 1247, 519, 11098, 2242, 2687, 547, 519, 2450, 543, 3337, 540, 835, 779, 6125, 563, 763, 6216, 1007, 12136, 543, 596, 949, 2834, 640, 1920, 1894, 6811, 835, 547, 1312, 616, 14354, 865, 596, 666, 835, 1776, 269, 898, 6920, 596, 547, 9090, 849, 513, 1507, 1689, 538, 12136, 1223, 581, 547, 2014, 513, 1689, 538, 7274, 540, 602, 2179, 267, 581, 621, 606, 3693, 610, 513, 6219, 563, 13010, 267, 519, 6587, 568, 849, 4570, 267, 17929, 1256, 13622, 6454, 538, 4320, 4122, 1439, 909, 538, 513, 1434, 1689, 538, 11098, 856, 6361, 513, 1808, 1843, 269, 8921, 547, 267, 596, 1058, 849, 917, 827, 519, 5767, 16315, 24218, 585, 1169, 2582, 9936, 547, 581, 2111, 547, 6813, 519, 2078, 3330, 8579, 2175, 24672, 563, 12234, 267, 2899, 519, 1053, 922, 849, 8797, 547, 4063, 6216, 1007, 3457, 856, 6361, 1312, 12136, 543, 596, 949, 2834, 640, 607, 1134, 269, 4935, 267, 607, 2834, 640, 568, 606, 5140, 1614, 8820, 7274, 267, 621, 779, 3893, 741, 1907, 538, 519, 513, 12945, 2511, 267, 971, 513, 1434, 12945, 25451, 563, 8802, 8973, 5860, 267, 602, 568, 6444, 607, 519, 2557, 540, 2242, 540, 2450, 585, 1169, 4320, 267, 519, 3926, 568, 11304, 11305, 889, 545, 25451, 543, 922, 1378, 6499, 269, 1452, 3457, 3478, 2527, 1522, 581, 13532, 6382, 575, 267, 4470, 593, 700, 832, 4302, 543, 596, 786, 595, 14899, 1949, 267, 1022, 666, 581, 4294, 269, 1656, 713, 267, 1453, 1522, 581, 18762, 8164, 596, 616, 4259, 5346, 513, 2648, 1063, 13557, 4320, 543, 596, 786, 5860, 543, 1175, 723, 952, 596, 616, 4657, 689, 476, 272, 1907, 547, 930, 824, 563, 3725, 958, 814, 2965, 2119, 19927, 676, 3173, 269, 1358, 666, 581, 5018, 1369, 519, 5933, 540, 476, 272, 610, 3152, 856, 6361, 2947, 3601, 281, 1974, 267, 4266, 267, 2450, 267, 543, 596, 786, 3167, 13324, 12375, 269, 634, 2179, 540, 513, 1390, 18062, 2119, 513, 1770, 2476, 689, 1296, 7750, 539, 543, 4061, 519, 21777, 4783, 666, 581, 8476, 602, 609, 11098, 543, 596, 786, 1287, 621, 568, 2799, 676, 1210, 4463, 269, 11730, 568, 2965, 6027, 538, 2474, 540, 1296, 543, 621, 568, 6045, 607, 519, 7274, 540, 476, 274, 323, 2749, 596, 547, 606, 6221, 3217, 909, 269, 22039, 568, 2965, 5018, 1369, 519, 12945, 15432, 267, 19838, 12945, 1298, 22015, 637, 269, 1411, 666, 1265, 835, 8536, 1984, 4106, 637, 538, 835, 1396, 516, 269, 12769, 584, 5270, 729, 6027, 1175, 899, 519, 8167, 1055, 13557, 543, 5860, 269, 12769, 584, 5270, 568, 1256, 15504, 2094, 513, 2040, 602, 3081, 547, 6216, 1007, 11593, 2139, 1858, 538, 547, 519, 606, 1858, 269, 634, 3926, 540, 12136, 616, 575, 30763, 476, 274, 1547, 10089, 330, 568, 9157, 547, 3489, 269, 12769, 584, 5270, 568, 1336, 538, 2474, 540, 2450, 543, 4908, 269, 22039, 616, 7123, 543, 621, 568, 4330, 607, 519, 2230, 4904, 1317, 540, 519, 513, 1570, 269, 634, 2450, 540, 1007, 7623, 15320, 538, 1585, 3688, 269, 634, 4320, 689, 606, 2500, 18062, 666, 581, 5462, 676, 14921, 4463, 543, 3178, 269, 1703, 616, 1585, 2409, 3823, 12719, 2179, 540, 811, 8631, 563, 32622, 547, 6056, 540, 454, 763, 5767, 6935, 1063, 4320, 543, 596, 786, 11098, 799, 723, 2527, 814, 930, 8945, 1919, 602, 1053, 1058, 1174, 547, 1378, 8763, 6791, 538, 519, 1482, 269, 901, 1007, 3688, 616, 607, 5205, 24121, 299, 1172, 1749, 2119, 606, 608, 18277, 538, 713, 2680, 267, 607, 621, 21040, 538, 519, 4908, 950, 596, 616, 16171, 267, 7551, 602, 723, 513, 1390, 4308, 811, 4320, 538, 922, 4396, 15581, 982, 1175, 3379, 547, 519, 554, 273, 334, 1533, 269, 901, 2962, 5956, 693, 476, 275, 9180, 543, 602, 779, 1634, 607, 18811, 748, 10137, 540, 1216, 563, 9824, 566, 9737, 774, 32169, 1656, 596, 949, 22039, 454, 2252, 596, 1265, 3054, 2921, 513, 1413, 693, 519, 6935, 9170, 1063, 12136, 4908, 543, 13557, 759, 14741, 4950, 4609, 328, 267, 10453, 1131, 581, 547, 4063, 1318, 1934, 602, 5860, 3823, 1216, 7369, 538, 519, 811, 3002, 269, 1717, 267, 922, 11098, 593, 476, 1911, 5933, 17622, 568, 9090, 519, 3490, 856, 6361, 4199, 563, 2005, 1522, 581, 8797, 547, 1131, 1382, 519, 7004, 2476, 689, 12136, 865, 596, 666, 4908, 543, 13030, 17930, 3395, 513, 16994, 1702, 540, 1950, 10230, 269, 2142, 1978, 602, 596, 2461, 2111, 547, 6460, 873, 1510, 7411, 267, 1141, 596, 786, 581, 8357, 1047, 1522, 4542, 2348, 12136, 563, 2690, 606, 6221, 540, 811, 2143, 1344, 3823, 519, 6216, 1007, 13557, 2834, 640, 543, 596, 949, 11098, 543, 741, 4143, 814, 2965, 267, 7503, 3928, 543, 596, 666, 3156, 267, 8399, 998, 938, 1360, 1378, 593, 519, 1357, 12423, 15961, 269, 1261, 814, 3893, 519, 1283, 7400, 2090, 1344, 31751, 676, 519, 938, 1888, 5294, 585, 707, 27792, 563, 2791, 949, 10333, 782, 540, 938, 1353, 1570, 547, 707, 6580, 9170, 1063, 11098, 543, 596, 949, 4908, 543, 824, 4143, 3652, 593, 519, 782, 540, 938, 28174, 656, 340, 3498, 799, 2636, 835, 547, 10333, 938, 2079, 5650, 20471, 269, 0, 14503, 698, 540, 519, 4436, 7276, 454, 763, 25035, 540, 519, 4436, 7276, 267, 610, 15875, 25035, 267, 568, 513, 4999, 1063, 519 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 25078, 8294, 17262, 20254, 12168, 362, 15906, 21333, 12168, 363, 14507, 12168, 363, 17262, 21333, 406, 363, 8294, 20901, 18457, 25078, 20254, 28519, 8294, 21333, 20901, 476, 30764, 14507, 21333, 20901, 12168, 357, 8294, 404, 368, 17262, 21333, 12168, 359, 8294, 17262, 17262, 21333, 476, 14180, 404, 362, 15906, 8294, 20901, 21333, 12168, 368, 21333, 563, 268, 476, 406, 484, 14180, 8294, 14180, 406, 484, 20901, 12168, 363, 14507, 12168, 363, 17262, 21333, 406, 363, 8294, 20901, 12168, 362, 15906, 21333, 18457, 404, 366, 12168, 368, 14534, 8294, 14507, 20901, 12168, 359, 14534, 8294, 25078, 404, 490, 18457, 17262, 14534, 17262, 12022, 476, 15906, 12168, 351, 17262, 21333, 17262, 12168, 359, 12022, 406, 363, 14507, 8294, 14534, 18457, 25078, 20254, 28519, 8294, 21333, 20901, 476, 30764, 14507, 21333, 20901, 12168, 357, 8294, 404, 368, 17262, 21333, 12168, 359, 8294, 17262, 17262, 21333, 476, 14180, 404, 362, 15906, 8294, 20901, 21333, 12168, 368, 21333, 563, 268, 476, 406, 484, 14180, 8294, 14180, 406, 484, 20901, 12168, 363, 17262, 21333, 406, 363, 8294, 20901, 17262, 12168, 357, 17262, 18457, 14507, 20254, 24220, 8294, 404, 371, 12168, 357, 8294, 27755, 15906, 404, 370, 15906, 28257, 12168, 351, 14534, 15906, 404, 366, 404, 368, 27755, 404, 371, 14507, 404, 511, 12168, 368, 15906, 21333, 12168, 359, 8294, 17262, 17262, 21333, 476, 14180, 404, 362, 15906, 8294, 20901, 21333, 12168, 368, 21333, 269, 0, 3080, 538, 2185, 20650, 9907, 476, 4792, 543, 936, 8813, 1142, 1032, 269, 1452, 616, 519, 3056, 3123, 540, 23139, 2669, 585, 20650, 269, 901, 3123, 476, 274, 2929, 6595, 4055, 11564, 543, 476, 2767, 267, 1822, 7972, 1169, 1032, 269, 898, 779, 6654, 602, 9991, 568, 513, 5458, 3463, 585, 20650, 267, 855, 2029, 568, 1373, 2919, 547, 1689, 713, 563, 5445, 723, 6552, 5464, 543, 1753, 12957, 543, 824, 2645, 547, 2539, 519, 1297, 540, 8813, 676, 1210, 12616, 9300, 2029, 267, 891, 666, 4431, 3533, 952, 596, 798, 2887, 563, 2690, 20650, 16462, 547, 2661, 10446, 267, 3123, 8833, 585, 15637, 543, 3885, 1317, 7092, 513, 2887, 1247, 596, 2461, 1753, 4805, 568, 519, 6574, 4250, 269, 5516, 326, 1392, 543, 3885, 666, 1406, 581, 972, 476, 2190, 270, 278, 267, 865, 2348, 513, 1753, 3354, 1062, 609, 3381, 13178, 666, 20758, 1055, 2736, 15564, 610, 13311, 21233, 267, 855, 2348, 1949, 899, 5163, 8596, 543, 28707, 2029, 666, 948, 547, 1683, 513, 2698, 4027, 3070, 267, 1169, 8792, 12523, 538, 606, 6595, 267, 543, 596, 666, 1406, 6488, 547, 711, 581, 5423, 563, 21093, 12829, 31786, 7010, 585, 7354, 12542, 454, 2026, 649, 1205, 4587, 267, 938, 4064, 6336, 741, 7145, 269, 1306, 649, 2085, 267, 938, 4064, 786, 1491, 538, 1447, 1769, 543, 713, 2164, 538, 2921, 3476, 585, 938, 4064, 547, 4188, 547, 519, 1769, 952, 649, 2461, 608, 1746, 689, 513, 4158, 4055, 269, 901, 1223, 1491, 909, 547, 513, 8792, 267, 6028, 596, 12303, 9420, 269, 901, 2306, 621, 4443, 585, 20650, 547, 7552, 543, 2887, 563, 17457, 5100, 8654, 2709, 1082, 2081, 547, 2087, 519, 1995, 585, 513, 9972, 269, 12305, 532, 513, 3844, 1858, 547, 1852, 519, 8654, 602, 779, 3362, 3015, 267, 5163, 543, 8596, 666, 782, 581, 1305, 547, 513, 8430, 269, 901, 1223, 581, 23553, 547, 581, 6417, 3842, 5639, 4971, 267, 14874, 519, 991, 547, 535, 18443, 1472, 538, 519, 4158, 585, 1769, 17176, 563, 6826, 16721, 1563, 585, 32506, 454, 2252, 513, 9972, 8813, 267, 972, 568, 606, 7525, 991, 547, 1205, 873, 948, 607, 3533, 607, 2009, 269, 1403, 950, 596, 5749, 1406, 13676, 538, 519, 2887, 267, 3368, 540, 20650, 666, 1406, 1205, 1394, 909, 593, 741, 1378, 269, 1879, 596, 4076, 15468, 1524, 543, 596, 1205, 909, 267, 543, 596, 616, 7142, 547, 2482, 972, 585, 3108, 610, 2395, 666, 540, 1576, 1267, 538, 1082, 1072, 2152, 899, 16415, 267, 18024, 267, 678, 4725, 3256, 344, 565, 1736, 267, 2604, 21385, 543, 3834, 1278, 8926, 267, 930, 540, 891, 8374, 786, 2253, 547, 1305, 538, 1310, 1152, 476, 1789, 3764, 563, 1607, 568, 1141, 2564, 10332, 1949, 2097, 538, 269, 1452, 1949, 946, 20805, 1218, 267, 25231, 7410, 267, 11784, 16181, 543, 824, 28707, 610, 15409, 3457, 602, 1683, 20650, 543, 519, 1004, 945, 1416, 585, 873, 476, 2190, 16923, 1569, 547, 6595, 2533, 269, 2368, 18960, 3457, 849, 4183, 5787, 18852, 543, 824, 8596, 602, 3713, 950, 2576, 8813, 543, 5612, 7125, 585, 948, 267, 1256, 952, 519, 15468, 1268, 568, 24835, 659, 18469, 563, 2690, 1082, 3885, 543, 20650, 267, 519, 3375, 547, 2085, 2987, 268, 2897, 610, 1413, 585, 513, 2298, 19443, 2713, 568, 513, 2182, 3375, 547, 1118, 269, 4595, 1034, 20650, 4782, 547, 2085, 693, 1753, 585, 607, 1279, 607, 2009, 267, 789, 616, 1818, 3664, 547, 8415, 5100, 2029, 543, 1753, 12957, 547, 2285, 873, 6015, 543, 4708, 540, 2247, 269, 0, 299, 1815, 23307, 650, 1756, 1660, 322, 10740, 630, 2908, 2012, 540, 20539, 545, 650, 1756, 682, 4754, 4512, 3738, 568, 606, 1303, 558, 13771, 8328, 17343, 10362, 547, 519, 18105, 636, 540, 1306, 1260, 26338, 26347, 269, 2986, 3043, 1315, 5835, 880, 2681, 543, 10412, 344, 11007, 267, 896, 519, 17209, 519, 1728, 874, 2801, 616, 7298, 607, 6505, 3043, 2083, 14613, 563, 763, 17343, 568, 4922, 1031, 538, 6211, 10784, 1122, 3603, 1852, 3292, 585, 922, 5521, 20141, 2962, 1996, 555, 686, 1186, 267, 3043, 8038, 543, 824, 5739, 7786, 1315, 21746, 607, 1134, 607, 585, 922, 2824, 2032, 2509, 3730, 7103, 563, 1692, 1281, 621, 960, 888, 299, 1815, 23307, 650, 1756, 1660, 322, 10740, 4249, 513, 2392, 2218, 2962, 1996, 519, 11174, 11775, 540, 681, 4532, 582, 328, 13067, 30601, 22176, 1755, 323, 21355, 267, 4122, 1572, 3043, 13733, 630, 23632, 324, 1755, 9188, 11517, 926, 28262, 543, 645, 28087, 807, 9184, 659, 328, 3738, 543, 774, 344, 1774, 30601, 10222, 3671, 328, 630, 774, 686, 1186, 9184, 659, 328, 2073, 1269, 476, 272, 15284, 328, 7578, 1624, 1211, 23653, 543, 4477, 328, 1054, 686, 1186, 688, 13579, 5514, 23653, 30155, 1103, 15028, 2825, 2175, 519, 24032, 1376, 547, 10351, 3729, 543, 1020, 519, 1728, 874, 2801, 602, 23309, 3330, 519, 1560, 540, 519, 3077, 5521, 267, 1141, 789, 616, 2111, 547, 17297, 4733, 21006, 519, 8031, 267, 543, 1287, 1332, 849, 3544, 519, 1560, 540, 519, 5521, 269, 7201, 15028, 2175, 267, 1310, 513, 1906, 2395, 267, 1279, 3043, 1728, 874, 2801, 786, 2408, 593, 519, 2627, 540, 519, 4299, 7786, 269, 634, 12586, 1998, 543, 7782, 320, 5933, 829, 880, 1354, 519, 17343, 568, 7298, 267, 4742, 513, 5835, 880, 2681, 609, 513, 11315, 543, 32630, 2627, 563, 32101, 543, 18262, 454, 30812, 1431, 540, 946, 454, 7212, 922, 946, 568, 1360, 2147, 547, 513, 1455, 2126, 609, 2030, 4027, 2472, 267, 621, 568, 1271, 547, 3314, 602, 621, 568, 513, 2713, 11248, 602, 2115, 5078, 2825, 2175, 585, 922, 1646, 269, 700, 1815, 23307, 650, 1756, 1660, 322, 10740, 3340, 513, 2837, 1063, 476, 1240, 543, 476, 2764, 11019, 595, 543, 606, 3328, 3448, 11195, 540, 476, 3583, 260, 585, 513, 1906, 2395, 1310, 3498, 563, 19119, 540, 946, 454, 21132, 3498, 568, 2653, 547, 946, 607, 621, 568, 7856, 609, 1216, 607, 513, 3339, 20239, 657, 534, 3202, 2126, 269, 1809, 972, 568, 2911, 540, 513, 2067, 1587, 267, 15095, 609, 3730, 7103, 543, 3542, 3215, 7786, 267, 2922, 585, 1004, 267, 519, 1604, 543, 2831, 269, 769, 1840, 267, 519, 17343, 15824, 513, 2392, 2218, 2962, 1996, 519, 3077, 7786, 543, 585, 713, 2601, 267, 7429, 519, 7459, 609, 2030, 4027, 2472, 267, 519, 5739, 7786, 798, 711, 723, 519, 7872, 547, 1020, 4187, 563, 299, 1815, 23307, 650, 1756, 1660, 322, 10740, 3331, 357, 796, 2392, 520, 648, 1019, 454, 17442, 647, 320, 1972, 1794, 7748, 3331, 357, 1019, 1795, 850, 791, 773, 2998, 538, 3067, 334, 23313, 2733, 7572, 576, 598, 4203, 320, 2097, 796, 2343, 1446, 959, 3430, 3512, 334, 3514, 657, 534, 527, 9222, 269, 13961, 1612, 5055, 829, 383, 366, 1019, 796, 605, 25346, 1729, 2067, 324, 267, 10284, 756, 850, 598, 1350, 328, 11248, 328, 3351, 328, 552, 598, 1350, 328, 1202, 31899, 791, 3326, 13541, 328, 267, 521, 545, 1755, 829, 1086, 821, 267, 19355, 324, 552, 3662, 328, 269, 769, 27117, 516, 267, 24924, 1187, 2998, 2498, 9116, 7699, 796, 262, 1794, 7748, 23246, 807, 683, 328, 13720, 328, 2554, 2993, 1202, 31899, 536, 619, 698, 331, 1470, 552, 829, 1391, 334, 267, 513, 988, 333, 5633, 2554, 2993, 954, 1203, 328, 598, 3514, 1993, 29108, 328, 267, 1350, 328, 1202, 31899, 546, 2335, 657, 328, 1875, 554, 2335, 334, 3288, 1502, 756, 4106, 14504, 1019, 521, 341, 559, 6269, 732, 5706, 27833, 563, 2467, 616, 1100, 8039, 693, 519, 4090, 0, 289, 295, 8008, 3201, 281, 1133, 332, 785, 995, 540, 2956, 540, 6561, 4027, 267, 519, 645, 7749, 531, 27391, 531, 15278, 454, 16360, 10157, 264, 7620, 8612, 1152, 513, 13486, 540, 2098, 8696, 520, 2494, 7588, 454, 267, 519, 3774, 540, 799, 18953, 519, 9923, 4302, 267, 1131, 581, 23542, 1639, 563, 2467, 941, 7125, 593, 1514, 2923, 547, 2149, 1744, 4461, 268, 592, 5336, 553, 1690, 573, 267, 2442, 569, 1572, 1261, 5028, 16549, 1690, 573, 267, 1454, 1354, 519, 18523, 1560, 3459, 23542, 819, 2038, 13723, 6640, 269, 634, 4686, 9923, 4302, 568, 1500, 540, 18899, 267, 2808, 835, 540, 519, 1101, 6901, 540, 715, 1177, 629, 29001, 808, 25301, 23548, 636, 267, 1354, 1352, 9333, 809, 519, 4305, 540, 2679, 29069, 268, 592, 5336, 553, 1690, 573, 267, 835, 540, 519, 4102, 9923, 13196, 538, 519, 1158, 563, 10527, 30361, 540, 2098, 8696, 520, 2494, 7588, 568, 21266, 1154, 2509, 519, 9923, 4302, 543, 1522, 2014, 811, 3441, 2223, 6045, 645, 10157, 6144, 1807, 15011, 25428, 590, 7596, 269, 1717, 267, 950, 23542, 819, 4305, 3196, 3459, 1210, 513, 17453, 31219, 267, 789, 6098, 513, 30361, 593, 519, 6587, 2427, 267, 799, 1705, 711, 2047, 21279, 519, 9923, 4302, 269, 968, 2467, 616, 18015, 593, 602, 3774, 267, 1932, 2223, 1767, 645, 10157, 8387, 269, 570, 650, 10543, 267, 519, 645, 10157, 1185, 1101, 23542, 1639, 13980, 540, 519, 19289, 267, 799, 616, 711, 17116, 519, 9923, 4302, 563, 3719, 1082, 540, 1346, 945, 1416, 454, 12671, 6561, 3889, 2161, 519, 2898, 3635, 12651, 22027, 269, 1703, 568, 513, 991, 547, 917, 945, 786, 2744, 689, 519, 2530, 540, 11720, 6804, 6561, 267, 789, 2161, 563, 290, 15960, 1560, 8387, 2226, 741, 3527, 31721, 1472, 16069, 610, 7303, 25096, 269, 0, 299, 659, 2088, 13198, 576, 5412, 476, 866, 267, 476, 1708, 271, 16056, 454, 5978, 9251, 12297, 3562, 1673, 582, 3211, 543, 25258, 948, 707, 1053, 1628, 1507, 4887, 1852, 607, 789, 1921, 519, 15956, 547, 2347, 5961, 256, 1306, 789, 2721, 543, 10250, 267, 789, 786, 849, 1020, 3337, 6284, 543, 2259, 519, 5311, 540, 2338, 543, 5022, 540, 519, 9904, 538, 891, 9251, 12297, 3562, 1673, 582, 3211, 269, 6651, 707, 3214, 609, 29961, 547, 29961, 28826, 585, 9656, 269, 4263, 519, 1101, 540, 519, 1565, 1184, 267, 596, 949, 6029, 873, 519, 1383, 540, 2324, 609, 519, 9212, 269, 1411, 949, 2491, 873, 519, 1259, 540, 1818, 513, 1434, 1899, 1210, 15956, 269, 5192, 1863, 7792, 9251, 12297, 547, 12297, 4408, 1934, 593, 32274, 4131, 1562, 17582, 19298, 2593, 269, 1284, 1683, 519, 5767, 3211, 585, 596, 547, 2285, 707, 3214, 547, 1451, 5022, 1259, 1732, 269, 1280, 811, 1863, 7792, 9251, 12297, 547, 12297, 4408, 267, 5225, 1224, 811, 1934, 256, 2913, 519, 1187, 14400, 1565, 1376, 609, 713, 14400, 1684, 513, 29961, 28826, 2534, 267, 3501, 585, 707, 9251, 518, 267, 840, 737, 267, 9656, 267, 610, 22525, 256, 667, 629, 6883, 2238, 616, 865, 1187, 585, 1762, 737, 1342, 657, 267, 2523, 950, 621, 568, 10477, 543, 1331, 513, 4101, 6335, 899, 891, 5066, 6730, 546, 629, 9212, 563, 27650, 476, 276, 13004, 3211, 269, 5729, 476, 276, 13174, 6096, 630, 720, 476, 280, 268, 1015, 264, 1635, 519, 1439, 540, 5729, 476, 276, 1453, 786, 581, 1210, 3608, 2854, 2409, 585, 1840, 267, 12408, 267, 8691, 543, 6498, 269, 17773, 1491, 909, 513, 2101, 851, 540, 519, 1032, 855, 972, 568, 1454, 811, 982, 713, 538, 519, 5729, 476, 276, 6437, 267, 1519, 3337, 267, 6482, 543, 7194, 269, 11404, 273, 623 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2157, 282, 972, 729, 1945, 4514, 267, 5705, 2401, 1256, 267, 602, 16079, 539, 998, 1142, 17581, 780, 288, 22545, 593, 519, 7450, 795, 565, 1540, 1864, 856, 540, 1010, 26871, 773, 269, 589, 1762, 4807, 3957, 15039, 15336, 538, 267, 804, 583, 4221, 1200, 17974, 13176, 17401, 1996, 1200, 9221, 269, 2701, 11688, 18469, 4090, 3320, 1354, 6340, 267, 834, 297, 574, 267, 949, 649, 2911, 827, 1250, 5152, 12482, 3891, 21330, 267, 9694, 1005, 2509, 519, 12816, 13050, 16463, 4172, 577, 7404, 269, 1306, 1352, 2893, 1524, 267, 646, 8068, 3515, 31960, 5196, 1200, 3068, 1259, 3564, 1200, 1296, 267, 8272, 337, 1681, 519, 7096, 1145, 6456, 1369, 1200, 18405, 780, 299, 1176, 21334, 539, 267, 834, 296, 5855, 952, 1004, 786, 1921, 609, 1018, 594, 4312, 2854, 1862, 604, 621, 6585, 2614, 2597, 1701, 4173, 1913, 838, 2683, 8521, 11688, 527, 14688, 267, 4904, 609, 13438, 2943, 1490, 21148, 609, 20440, 780, 297, 574, 10709, 539, 1394, 267, 24617, 3750, 532, 519, 535, 8172, 7943, 19003, 998, 519, 9420, 338, 269, 3571, 22401, 21352, 539, 607, 646, 15527, 267, 834, 24523, 3884, 1405, 8806, 4967, 1193, 2426, 1927, 269, 898, 9356, 1272, 2833, 267, 4664, 30341, 998, 8062, 543, 29217, 269, 6733, 693, 2290, 774, 532, 907, 3010, 14367, 5639, 911, 6150, 1055, 267, 8719, 676, 519, 1208, 540, 11397, 6808, 16471, 32069, 609, 519, 9543, 627, 597, 2590, 540, 10916, 3937, 269, 2991, 513, 9176, 23249, 267, 646, 4797, 267, 834, 5445, 3323, 609, 2241, 26107, 267, 11541, 855, 15877, 3178, 269, 3683, 942, 267, 2705, 267, 741, 2575, 8057, 21950, 267, 30305, 609, 15657, 543, 6988, 267, 1818, 873, 24080, 13267, 3010, 29587, 325, 3881, 7391, 1419, 1291, 547, 11240, 725, 267, 543, 713, 7237, 9863, 1100, 9868, 269, 27837, 676, 13343, 781, 7326, 267, 15039, 13603, 909, 1200, 13176, 1586, 267, 5368, 341, 580, 528, 730, 543, 4712, 547, 1102, 2224, 1200, 1378, 3460, 883, 1200, 15885, 269, 1280, 1312, 21927, 543, 1486, 2946, 326, 2946, 267, 621, 6039, 607, 513, 12576, 602, 7499, 2208, 568, 2760, 5276, 6862, 31302, 282, 3079, 267, 621, 27372, 7930, 267, 1454, 899, 519, 6946, 6106, 540, 23260, 18955, 883, 1142, 20100, 2813, 1369, 519, 10723, 31508, 540, 14675, 310, 1511, 2289, 3930, 269, 0, 2237, 513, 8903, 1650, 1644, 547, 519, 1739, 1257, 6256, 912, 22081, 814, 519, 2504, 2298, 540, 2290, 774, 532, 781, 2575, 7960, 2429, 741, 4876, 888, 2026, 606, 3642, 1893, 2203, 267, 594, 798, 711, 723, 2123, 8369, 267, 7375, 610, 5784, 267, 855, 594, 666, 1533, 602, 2290, 667, 3925, 630, 817, 11167, 602, 729, 519, 5497, 7376, 264, 814, 4810, 513, 1713, 4720, 538, 2504, 2298, 2429, 741, 4876, 780, 2691, 2290, 667, 3925, 781, 26813, 2582, 834, 1432, 24439, 1411, 27202, 257, 729, 5950, 538, 476, 1001, 272, 267, 741, 2575, 729, 6353, 676, 909, 18566, 543, 6952, 344, 1402, 23964, 267, 855, 741, 2504, 2298, 729, 5266, 2241, 543, 3551, 269, 634, 31627, 15538, 6140, 540, 1368, 527, 1513, 267, 27120, 267, 543, 1883, 15236, 780, 2026, 519, 1895, 781, 4876, 27636, 267, 741, 3280, 2968, 811, 3309, 543, 1950, 269, 4256, 2034, 543, 3791, 11549, 4548, 267, 834, 12648, 2725, 5851, 257, 543, 834, 300, 573, 9519, 6490, 1559, 2437, 12286, 811, 9921, 267, 13176, 12454, 13475, 7258, 7544, 1790, 641, 606, 1492, 916, 269, 634, 2504, 2298, 849, 2968, 811, 10427, 267, 6220, 5907, 543, 5348, 628, 2609, 1247, 4509, 741, 15040, 3280, 780, 1103, 741, 2663, 620, 10640, 763, 1650, 3085, 1406, 991, 547, 2446, 3388, 538, 519, 6256, 267, 946, 621, 1175, 585, 6667, 543, 581, 3860, 2336, 763, 1650, 1058, 6451, 519, 1739, 2609, 912, 268, 15511, 281, 519, 1650, 1590, 4183, 693, 2547, 835, 6209, 5188, 602, 8761, 1915, 3178, 267, 8441, 519, 4729, 267, 610, 28807, 513, 2629, 4062, 540, 519, 9814, 3097, 268, 21624, 4798, 281, 2263, 4798, 22298, 609, 513, 9921, 5304, 267, 971, 607, 5837, 13509, 267, 16650, 14511, 267, 2123, 7004, 267, 610, 519, 4539, 540, 2250, 3527, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 834, 763, 3141, 8288, 1970, 538, 519, 6607, 257, 610, 834, 1103, 519, 27452, 1396, 2580, 581, 3860, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 31429, 514, 267, 1818, 621, 2139, 607, 1426, 585, 519, 17343, 269, 674, 2426, 328, 616, 711, 519, 1152, 7103, 602, 10244, 519, 1379, 540, 22670, 7998, 269, 631, 22462, 3150, 568, 606, 1898, 3693, 585, 782, 1272, 3029, 563, 300, 2562, 3036, 631, 4953, 28940, 27107, 298, 4953, 29187, 18306, 476, 736, 270, 1556, 281, 4165, 574, 3415, 5170, 15125, 16781, 282, 22670, 1166, 820, 3902, 11689, 3278, 1323, 7650, 540, 519, 5634, 8407, 6990, 543, 741, 5767, 3902, 7575, 269, 19478, 713, 2376, 454, 763, 6419, 3601, 540, 7135, 540, 22670, 609, 16903, 267, 28227, 267, 17059, 3415, 267, 543, 536, 1143, 3578, 590, 269, 23664, 13630, 267, 570, 269, 12603, 1188, 10458, 543, 661, 269, 2051, 591, 8566, 331, 879, 1068, 267, 3690, 269, 10787, 611, 599, 17502, 1421, 476, 4489, 273, 267, 476, 279, 267, 476, 21709, 20396, 281, 476, 1015, 269, 9818, 280, 20081, 293, 280, 1321, 24699, 22903, 278, 1403, 596, 616, 711, 519, 2278, 540, 4429, 12901, 574, 3415, 269, 4165, 574, 3415, 568, 1031, 538, 1978, 5545, 23212, 267, 930, 4421, 619, 267, 543, 538, 890, 342, 1562, 269, 11633, 17059, 3415, 568, 4749, 13572, 609, 28227, 269, 6271, 4496, 547, 2057, 267, 2523, 607, 32669, 630, 310, 12245, 1258, 476, 6246, 1040, 4165, 574, 3415, 568, 2404, 609, 9025, 17244, 543, 4957, 661, 298, 19199, 538, 19730, 543, 890, 342, 614, 4600, 630, 307, 591, 543, 18722, 476, 5379, 1916, 332, 22462, 3150, 543, 28227, 267, 855, 538, 3044, 7154, 950, 7421, 585, 782, 540, 519, 824, 2555, 5052, 269, 1280, 28227, 267, 519, 5114, 1591, 568, 2046, 28962, 609, 513, 7848, 540, 7250, 630, 1015, 8472, 543, 2415, 517, 630, 3445, 8472, 610, 1659, 327, 747, 3123, 519, 2736, 1575, 540, 519, 678, 12455, 476, 2412, 6635, 3374, 5141, 266, 9357, 799, 1131, 6382, 15936, 609, 7020, 540, 476, 4037, 2026, 693, 544, 270, 345, 476, 4037, 269, 1879, 7421, 585, 20017, 26606, 454, 288, 3464, 21329, 2468, 6448, 568, 606, 22803, 7623, 609, 519, 4542, 1306, 476, 273, 744, 476, 274, 20136, 20749, 1271, 12547, 540, 28227, 568, 519, 1292, 24888, 547, 824, 28227, 7135, 267, 1519, 1418, 334, 1513, 21329, 7135, 6993, 653, 6918, 2954, 476, 2004, 267, 1822, 19726, 616, 3812, 12422, 269, 3509, 3156, 616, 11786, 2016, 519, 1164, 17219, 540, 28227, 7135, 563, 24718, 1488, 11420, 545, 5288, 4165, 574, 3415, 540, 519, 11270, 545, 7305, 593, 782, 741, 12700, 267, 18329, 4762, 580, 4851, 267, 11906, 267, 8447, 267, 26994, 3601, 269, 3776, 11270, 545, 27100, 6476, 1907, 2636, 596, 547, 5635, 11270, 545, 15689, 3601, 2427, 676, 2427, 585, 782, 476, 14093, 2609, 1923, 3427, 7069, 27736, 20308, 25674, 11270, 545, 7305, 267, 11270, 545, 7305, 27100, 18948, 1907, 267, 27100, 16296, 3466, 454, 9802, 476, 4029, 267, 476, 1001, 277, 6440, 769, 4673, 8638, 1488, 11420, 545, 607, 3489, 762, 998, 5599, 855, 594, 6170, 476, 274, 3108, 538, 513, 623, 2077, 710, 5450, 28351, 8258, 543, 4769, 1405, 1265, 513, 2582, 9522, 269, 12984, 594, 538, 519, 4636, 1826, 540, 19236, 8258, 286, 769, 4673, 849, 3081, 621, 666, 581, 1336, 998, 2627, 5599, 609, 606, 22804, 309, 267, 855, 1018, 10785, 616, 513, 1434, 2707, 540, 28227, 286, 594, 6836, 5599, 930, 28561, 8163, 855, 849, 4769, 1405, 1265, 28227, 563, 763, 8407, 1031, 538, 1114, 10659, 3769, 17646, 267, 26459, 267, 28227, 267, 17059, 3415, 267, 536, 1143, 3578, 543, 18664, 517, 282, 1142, 540, 891, 267, 950, 8087, 538, 1978, 17114, 609, 22670, 267, 1927, 609, 513, 3677, 7274, 540, 7601, 630, 6518, 5526, 547, 4196, 8806, 607, 513, 14108, 636, 1070, 27648, 513, 11275, 14184, 18585, 563, 12901, 574, 3415, 568, 2147, 547, 28227, 543, 536, 1143, 3578, 538, 922, 2520, 12950, 2623, 269, 1488, 11420, 545, 568, 513, 6757, 12669, 1355, 602, 568, 1455, 538, 519, 1604, 543, 1585, 6211, 1949, 269, 634, 1297, 540, 922, 884, 857, 566, 3029, 568, 7683, 2810, 1813, 547, 519, 2804, 3356, 607, 519, 5533, 3361, 676, 2872, 814, 711, 8519, 538, 2487, 5756, 563, 4041, 21815, 5058, 5508, 631, 4953, 28940, 5442, 15674, 717, 4629, 26685, 310, 2969, 2207, 1107, 6167, 29308, 4306, 13263, 5058, 5990, 11404, 4785, 2464, 3267, 630, 325, 27544, 585, 28227, 27072, 264, 693, 476, 275, 540, 519, 476, 1626, 15780, 19401, 269, 27842, 941, 9916, 585, 28227, 267, 22670, 267, 1291, 267, 4401, 267, 543, 20017, 26606, 269, 19837, 9407, 28227, 729, 1657, 6704, 1216, 4441, 693, 835, 1134, 267, 855, 2630, 15780, 4441, 538, 782, 19401, 269, 4429, 763, 12556, 540, 1585, 8407, 267, 1519, 26388, 267, 19695, 267, 7601, 267, 22670, 267, 16035, 267, 20017, 26606, 267, 543, 1291, 267, 543, 12669, 6950, 267, 1519, 28227, 267, 17059, 3415, 267, 543, 31093, 267, 538, 519, 2067, 1604, 568, 540, 1390, 6161, 630, 3849, 6929, 334, 267, 476, 2735, 277, 282, 476, 1960, 273, 1070, 3226, 2282, 5449, 9553, 4609, 267, 546, 7927, 267, 2766, 532, 25985, 267, 543, 791, 895, 906, 267, 855, 849, 538, 4683, 2127, 543, 454, 1607, 568, 513, 1592, 540, 3957, 23212, 19882, 9904, 1227, 676, 3490, 4496, 269, 20751, 891, 26333, 267, 519, 23212, 616, 849, 19882, 9904, 1227, 269, 2368, 540, 519, 1292, 18585, 532, 6693, 7230, 15772, 540, 28227, 267, 17059, 3415, 543, 536, 1143, 3578, 689, 7601, 949, 1491, 1747, 538, 519, 1159, 601, 1154, 4238, 676, 1085, 528, 2305, 267, 2019, 520, 16478, 267, 610, 267, 896, 2027, 2126, 267, 676, 3157, 540, 5834, 269, 744, 9405, 547, 519, 1390, 3099, 540, 2326, 602, 616, 5701, 538, 22237, 12669, 21395, 267, 621, 568, 10355, 2009, 547, 3489, 3169, 12035, 689, 1022, 1880, 5106, 563, 12901, 574, 3415, 568, 513, 4759, 540, 1895, 476, 1428, 540, 519, 13350, 3349, 267, 835, 540, 519, 2609, 1572, 533, 333, 1112, 11077, 267, 543, 814, 606, 18546, 821, 326, 18356, 540, 476, 273, 269, 4962, 269, 769, 13076, 609, 13350, 3466, 267, 621, 568, 811, 18546, 821, 326, 894, 982, 17646, 610, 536, 1143, 3578, 267, 543, 1447, 18546, 821, 326, 894, 982, 2995, 584, 1756, 610, 28227, 6993, 660, 574, 3415, 568, 7123, 538, 2011, 693, 4055, 2837, 267, 855, 23465, 609, 5135, 952, 12699, 547, 3132, 17059, 3415, 2468, 6448, 267, 590, 321, 476, 273, 744, 476, 274, 563, 288, 3464, 21329, 568, 5310, 2189, 1851, 519, 5230, 12669, 6950, 543, 3404, 12505, 542, 268, 14127, 2609, 630, 324, 3052, 269, 28227, 267, 31093, 267, 17059, 3415, 267, 544, 8432, 321, 6577, 636, 267, 8709, 18123, 267, 26388, 267, 20879, 267, 678, 1156, 1756, 264, 538, 922, 8417, 547, 20834, 5314, 693, 519, 9063, 2418, 3335, 1336, 538, 2666, 31662, 630, 335, 295, 476, 277, 269, 276, 1700, 279, 269, 276, 264, 543, 896, 1312, 12444, 2358, 543, 4227, 2175, 563, 272, 269, 274, 269, 17796, 540, 1291, 630, 303, 321, 1070, 28227, 630, 2026, 264, 543, 22670, 630, 300, 333, 264, 589, 2487, 4879, 593, 519, 2518, 1072, 5222, 540, 17694, 267, 4857, 1306, 543, 623, 321, 1851, 519, 3670, 1034, 6757, 14107, 17116, 1480, 1072, 1547, 631, 333, 568, 849, 540, 1390, 2825, 543, 1857, 1072, 4644, 1813, 547, 922, 3376, 6165, 538, 519, 7542, 549, 718, 1195, 2872, 4586, 13202, 476, 1556, 267, 476, 1220, 279, 6440, 22206, 1359, 585, 5898, 814, 3504, 5072, 3267, 9761, 2339, 543, 4496, 630, 17141, 1291, 267, 17059, 3415, 267, 22670, 610, 7601, 1040, 3267, 519, 1101, 1900, 538, 8744, 513, 1273, 1836, 5906, 5736, 540, 28227, 6693, 288, 3464, 21329, 1373, 10511, 18469, 607, 1306, 273, 306, 274, 543, 17059, 3415, 607, 590, 321, 273, 306, 276, 267, 741, 9757, 2188, 1373, 476, 271, 269, 2568, 280, 543, 476, 271, 269, 7785, 267, 519, 3815, 476, 271, 269, 277, 568, 1031, 538, 12719, 267, 689, 519, 2597, 540, 519, 5916, 20962, 1938, 267, 519, 6871, 540, 28227, 7132, 17059, 3415, 269, 10318, 1588, 540, 1488, 11420, 545, 607, 2558, 529, 17139, 728, 1234, 1673, 1170, 9876, 519, 20962, 1938, 538, 6693, 306, 539, 9323, 538, 519, 3162, 674, 1251, 543, 519, 1292, 6565, 540, 519, 5757, 616, 13572, 609, 28227, 263, 2026, 1070, 17059, 3415, 22829, 321, 1070, 20017, 26606, 18154, 323, 1070, 1291, 27456, 321, 1070, 13058, 263, 313, 333, 1070, 543, 824, 8407, 269, 2274, 2286, 540, 1306, 543, 590, 321, 689, 519, 21439, 2059, 519, 1292, 6565, 5673, 593, 519, 9063, 540, 519, 1216, 543, 593, 519, 4401, 543, 22670, 1543, 540, 519, 21439, 563, 299, 1987, 2218, 26488, 15015, 8890, 5052, 281, 4165, 574, 3415, 267, 1488, 11420, 545, 267, 645, 10740, 267, 645, 2044, 961, 1756, 267, 3267, 901, 594, 9573, 5937, 13612, 5336, 306, 1505, 568, 1031, 547, 2268, 2901, 28227, 267, 513, 476, 1428, 3693, 8470, 630, 656, 574, 3415, 267, 536, 10740, 267, 536, 2044, 961, 1756, 267, 20017, 26606, 267, 524, 10901, 267, 524, 28240, 267, 1291, 267, 3267, 22670, 543, 28227, 267, 855, 538, 3044, 7154, 950, 454, 15100, 15648, 9736, 476, 1708, 271, 269, 4467, 11952, 670, 3036, 2353, 2924, 11603, 4732, 14403, 777, 0, 7093, 11860, 15858, 10495, 2480, 1681, 3590, 630, 12710, 19798, 2567, 19019, 531, 8081, 7991, 540, 6657, 630, 10870, 303, 264, 476, 272, 1107, 10417, 4886, 454, 290, 23814, 17247, 3633, 910, 2776, 11860, 15858, 10495, 2480, 1681, 3590, 630, 12710, 19798, 2567, 19019, 531, 8081, 7991, 540, 6657, 630, 10870, 303, 264, 476, 272, 1107, 10417, 4886, 454, 7628, 8400, 835, 540, 519, 1614, 1606, 11970, 3213, 303, 267, 5171, 786, 17412, 519, 10417, 4886, 10155, 1369, 519, 19019, 531, 8081, 6389, 269, 19893, 786, 960, 538, 6887, 538, 13287, 540, 513, 1455, 4640, 547, 4019, 1655, 2853, 547, 1489, 2500, 4116, 30512, 4205, 269, 769, 519, 3213, 303, 267, 5171, 786, 849, 1711, 513, 1544, 547, 6542, 1007, 2081, 547, 4001, 1866, 827, 1523, 1646, 538, 741, 4928, 4433, 1040, 19893, 786, 2663, 1217, 1866, 1369, 741, 1378, 1565, 2950, 827, 1523, 1646, 2853, 543, 875, 547, 4001, 1453, 547, 4019, 2035, 1644, 547, 519, 1483, 1158, 267, 547, 1589, 9691, 543, 547, 1966, 4194, 269, 19893, 1590, 11578, 543, 7390, 782, 1614, 3213, 303, 7886, 563, 1607, 1576, 9607, 519, 1739, 2085, 6512, 4433, 2187, 268, 7216, 6689, 910, 1647, 630, 3607, 268, 2568, 3275, 264, 0, 523, 1444, 811, 4264, 454, 6343, 649, 1223, 1831, 952, 649, 3576, 5413, 540, 938, 9058, 4087, 281, 519, 3039, 3444, 30030, 540, 1715, 4789, 454, 295, 691, 5112, 814, 17298, 1713, 3646, 547, 581, 835, 540, 519, 3039, 652, 4872, 538, 1715, 4789, 269, 769, 476, 1001, 279, 267, 649, 7550, 606, 8366, 20421, 8693, 11059, 4643, 267, 543, 649, 723, 4862, 10978, 543, 2312, 602, 972, 779, 811, 547, 798, 269, 769, 713, 1985, 4975, 4643, 267, 649, 723, 547, 3136, 938, 7903, 547, 1831, 513, 3084, 6205, 538, 7738, 909, 938, 1604, 269, 1284, 1590, 2327, 602, 811, 1004, 1921, 2825, 19642, 609, 5355, 1857, 1072, 267, 14027, 519, 4346, 267, 543, 5009, 1514, 9698, 269, 1284, 666, 1406, 9258, 519, 2063, 476, 6110, 1296, 540, 2825, 12159, 563, 13070, 3472, 675, 1299, 7046, 6611, 454, 268, 7046, 6611, 1058, 581, 12873, 543, 9450, 454, 268, 3509, 2127, 1223, 581, 8120, 547, 6694, 946, 281, 3778, 540, 14860, 269, 26184, 569, 15417, 3037, 269, 6762, 6683, 269, 29968, 321, 21488, 269, 30926, 535, 8172, 267, 10682, 7031, 269, 1715, 8561, 593, 5214, 8105, 267, 543, 593, 2199, 8105, 269, 21278, 4195, 5613, 543, 5388, 547, 2199, 1625, 3272, 832, 1107, 6990, 543, 14060, 269, 21278, 554, 3591, 543, 18683, 547, 2199, 1786, 9955, 543, 642, 842, 2996, 269, 7731, 3484, 1107, 5912, 689, 10269, 547, 554, 3591, 269, 654, 9879, 2916, 949, 1689, 519, 3395, 1604, 563, 268, 11982, 7028, 2686, 9235, 267, 5932, 6009, 267, 543, 28933, 1930, 2230, 543, 2067, 5898, 281, 602, 616, 1514, 543, 2804, 7221, 269, 1280, 1875, 268, 698, 3472, 1116, 2244, 267, 1930, 2230, 28933, 1058, 581, 23762, 267, 6870, 267, 543, 1500, 3015, 563, 20458, 1299, 6052, 454, 268, 30771, 519, 19134, 5112, 8693, 19731, 13734, 19541, 547, 519, 21086, 9503, 281, 3487, 540, 3084, 931, 24832, 269, 674, 18017, 2916, 1689, 676, 4227, 5434, 269, 26805, 3560, 267, 8093, 4492, 267, 543, 1648, 946, 269, 2859, 3608, 543, 4264, 3029, 540, 4683, 1646, 281, 10053, 267, 7524, 267, 21438, 267, 4448, 269, 2422, 540, 4244 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10054, 827, 1480, 2623, 563, 8139, 7082, 3069, 454, 31714, 723, 519, 5191, 547, 3442, 1063, 1114, 5036, 540, 5370, 543, 2533, 269, 19901, 3069, 11394, 547, 3589, 741, 11449, 6208, 676, 1818, 519, 1739, 1614, 2596, 10054, 827, 1480, 2623, 912, 268, 7665, 574, 1436, 540, 10626, 281, 4658, 616, 1767, 547, 1118, 7229, 3664, 950, 10918, 267, 9140, 2472, 602, 3142, 873, 519, 1034, 4324, 267, 849, 1634, 607, 5021, 10626, 538, 2804, 2474, 563, 268, 6348, 1606, 10620, 1214, 281, 4658, 616, 10355, 6126, 609, 1175, 835, 7552, 547, 519, 4558, 543, 2141, 1616, 547, 8532, 811, 454, 268, 28206, 2084, 8589, 10626, 281, 3117, 28366, 6336, 9547, 538, 513, 1587, 519, 811, 789, 8532, 621, 454, 22998, 998, 1806, 543, 1315, 610, 2665, 267, 7082, 3069, 3335, 3340, 519, 1739, 11378, 912, 268, 589, 2407, 1305, 540, 4616, 3681, 454, 268, 1548, 568, 519, 28252, 602, 513, 7082, 24283, 689, 1142, 22753, 540, 519, 1305, 540, 3681, 454, 268, 589, 1305, 540, 26065, 8655, 547, 1142, 10189, 454, 268, 7102, 3355, 1544, 602, 519, 7082, 4867, 814, 454, 19119, 540, 7082, 3069, 454, 19465, 513, 1732, 1620, 540, 1004, 779, 16919, 543, 26038, 568, 1271, 1317, 621, 814, 513, 2462, 1764, 593, 519, 3747, 7455, 267, 519, 2078, 1063, 519, 3902, 540, 513, 1434, 610, 3028, 543, 519, 7274, 18796, 585, 513, 2016, 1974, 540, 942, 267, 543, 519, 3337, 540, 519, 2518, 4346, 563, 8256, 10179, 7836, 11479, 513, 3648, 1804, 2671, 540, 14407, 6469, 1587, 630, 294, 7894, 264, 538, 519, 2136, 2276, 543, 824, 2477, 269, 1403, 1004, 2759, 1394, 593, 741, 16306, 267, 3747, 585, 5370, 543, 2533, 786, 2887, 267, 4227, 2754, 12434, 267, 519, 4074, 2344, 267, 9541, 543, 1082, 824, 2188, 602, 1118, 519, 4346, 2638, 563, 8256, 10179, 3903, 3069, 568, 3144, 1360, 12517, 267, 12018, 3388, 689, 2229, 3609, 547, 9746, 10229, 563, 7078, 540, 7082, 3069, 454, 4131, 779, 1413, 693, 606, 1383, 269, 918, 1803, 568, 513, 7082, 609, 513, 6578, 540, 1269, 476, 1220, 267, 945, 1590, 3442, 875, 547, 21138, 1010, 7482, 1063, 16741, 543, 3381, 3756, 630, 1492, 22753, 540, 25584, 1040, 1403, 513, 16741, 3790, 1269, 476, 1015, 543, 513, 3381, 3014, 3790, 1269, 476, 2004, 267, 918, 1803, 1223, 4444, 476, 736, 533, 11170, 553, 267, 610, 2185, 3381, 3756, 267, 610, 2947, 533, 11170, 553, 543, 1614, 3381, 3756, 269, 17968, 267, 646, 1223, 1832, 782, 1269, 476, 1220, 538, 1010, 17927, 563, 1692, 666, 513, 24928, 3589, 875, 918, 1803, 568, 1034, 2693, 547, 6108, 1010, 2724, 286, 19901, 3069, 666, 948, 2626, 713, 2243, 563, 21918, 1080, 540, 7082, 3069, 454, 763, 2591, 538, 3384, 513, 4052, 4542, 585, 713, 3510, 616, 1082, 269, 1280, 1383, 267, 607, 8965, 9297, 2798, 856, 267, 1004, 616, 711, 2141, 7787, 543, 616, 3006, 967, 27075, 547, 519, 5079, 2139, 269, 2368, 3664, 616, 3226, 2352, 547, 1118, 1317, 6800, 616, 14542, 609, 519, 2472, 269, 1703, 1522, 849, 581, 606, 3929, 5057, 3238, 538, 519, 3375, 6194, 1184, 602, 3112, 581, 9676, 538, 606, 2804, 1599, 563, 763, 1082, 10054, 1500, 676, 7082, 3069, 1611, 602, 621, 814, 2097, 896, 5230, 9880, 269, 2755, 1010, 7422, 949, 581, 4570, 538, 513, 3501, 1158, 267, 538, 4641, 972, 616, 1082, 4632, 602, 666, 16616, 519, 1184, 540, 28976, 7836, 6208, 607, 20541, 563, 7883, 532, 1394, 547, 918, 1803, 779, 1383, 267, 23115, 856, 875, 646, 3580, 6108, 1010, 1269, 476, 1220, 3884, 1406, 607, 2312, 607, 621, 1522, 1101, 2408, 269, 13188, 17648, 602, 646, 17358, 1010, 7375, 585, 16741, 543, 3381, 3756, 267, 543, 666, 6430, 875, 1454, 1142, 835, 6499, 547, 4444, 269, 898, 849, 17648, 602, 972, 616, 2614, 3381, 3756, 543, 16741, 2139, 585, 918, 1803, 547, 3442, 875, 1454, 540, 1142, 646, 6499, 269, 0, 3674, 14055, 5363, 585, 3207, 286, 3509, 2043, 616, 1869, 711, 6857, 602, 713, 1455, 2067, 10786, 568, 513, 3532, 2067, 3070, 585, 12008, 4713, 269, 1703, 616, 1896, 5383, 540, 14055, 585, 3207, 269, 8616, 1354, 596, 1491, 14055, 585, 3207, 267, 581, 2386, 547, 798, 707, 1382, 7620, 563, 5278, 1699, 29622, 5815, 602, 14055, 1223, 4217, 596, 1964, 1732, 267, 855, 609, 6404, 2164, 269, 1306, 1134, 607, 4352, 972, 723, 1044, 930, 8716, 1382, 1353, 593, 519, 12588, 540, 14055, 547, 948, 596, 3207, 267, 3173, 3409, 602, 972, 616, 27057, 1100, 3621, 8062, 602, 538, 1249, 1397, 14055, 666, 798, 602, 538, 1022, 1259, 269, 24511, 267, 9039, 540, 519, 9516, 14055, 2472, 723, 2965, 2479, 1354, 1044, 9516, 676, 519, 15111, 547, 1521, 16889, 13542, 269, 9717, 602, 519, 15111, 814, 2760, 9516, 14055, 585, 513, 2564, 6165, 267, 621, 568, 711, 6397, 602, 972, 568, 513, 1390, 4308, 540, 20849, 9623, 593, 713, 1888, 563, 273, 540, 835, 540, 519, 1034, 6093, 3096, 540, 14055, 585, 1964, 1331, 8156, 4160, 543, 849, 7393, 7099, 610, 4160, 2589, 269, 5637, 891, 2127, 540, 3797, 616, 9053, 609, 7218, 269, 1306, 606, 1383, 267, 2090, 5340, 676, 519, 2160, 540, 25611, 538, 16848, 2594, 602, 7218, 602, 3576, 513, 2898, 14055, 23555, 1991, 547, 2469, 547, 5127, 4810, 513, 5786, 538, 741, 5232, 540, 2566, 543, 4160, 1310, 519, 2126, 729, 6035, 269, 769, 930, 2665, 267, 519, 2347, 2179, 540, 14055, 3144, 31965, 519, 1367, 779, 10421, 547, 723, 1022, 2186, 540, 2186, 540, 13310, 3207, 5351, 563, 32701, 267, 519, 4102, 13525, 602, 14055, 1568, 585, 8156, 1964, 13542, 1522, 581, 519, 21230, 1970, 9570, 1419, 15695, 676, 13500, 269, 1280, 519, 1034, 851, 267, 14055, 568, 2139, 538, 3282, 1826, 267, 799, 10522, 602, 519, 3593, 786, 6157, 2154, 547, 946, 513, 11517, 6500, 610, 3282, 6633, 518, 538, 1931, 547, 11375, 1446, 519, 3282, 269, 901, 568, 711, 513, 8373, 585, 1082, 1004, 267, 607, 32480, 540, 14055, 568, 4080, 676, 1034, 2043, 607, 17501, 607, 1134, 607, 1256, 11791, 269, 1809, 585, 1346, 945, 666, 711, 1265, 606, 3282, 6633, 518, 610, 824, 2409, 540, 32480, 267, 14055, 666, 10123, 581, 3144, 1016, 1782, 1302, 267, 799, 10522, 602, 513, 1507, 2179, 540, 519, 3075, 568, 1085, 745, 5523, 593, 519, 1283, 540, 519, 11469, 1354, 4616, 269, 15482, 6165, 540, 14055, 814, 711, 1044, 13006, 547, 2014, 1022, 8801, 8801, 2360, 585, 1034, 1004, 563, 26589, 609, 8156, 3207, 2175, 899, 20026, 267, 14055, 568, 2219, 547, 581, 6325, 1996, 930, 811, 3978, 4713, 269, 634, 1977, 6481, 5948, 814, 2965, 17101, 513, 1906, 540, 519, 811, 7986, 14055, 3688, 585, 8156, 19920, 609, 20560, 267, 10770, 9636, 267, 543, 849, 15353, 267, 1851, 824, 2798, 269, 2755, 713, 568, 711, 513, 2698, 17609, 540, 4713, 602, 14055, 3688, 949, 581, 1500, 946, 540, 585, 267, 621, 1281, 4159, 513, 17609, 602, 9832, 689, 1447, 1713, 2042, 547, 3063, 1713, 3283, 269, 5015, 267, 1896, 14055, 23965, 4063, 602, 14055, 568, 3274, 835, 540, 519, 1082, 1271, 11041, 1500, 946, 540, 538, 12906, 7752, 2805, 269, 595, 321, 323, 700, 10056, 2060, 30225, 2658, 454, 1103, 513, 2147, 2511, 267, 14055, 568, 1500, 946, 540, 547, 1521, 930, 3029, 540, 4965, 543, 849, 2566, 543, 4160, 269, 1452, 2042, 616, 2356, 5701, 609, 21911, 607, 1134, 607, 13310, 11955, 267, 543, 519, 9756, 538, 1063, 14055, 543, 849, 3207, 2042, 568, 4742, 513, 2603, 811, 6654, 607, 1256, 811, 1445, 568, 6976, 547, 1175, 875, 938, 3207, 3270, 3310, 938, 30181, 269, 2368, 2090, 723, 2965, 1256, 7000, 602, 14055, 568, 25368, 538, 519, 3797, 540, 10770, 4965, 267, 513, 4524, 602, 666, 2063, 585, 3275, 693, 513, 942, 269, 1879, 3843, 547, 1265, 11257, 585, 5312, 19492, 20439, 1145, 267, 1832, 538, 2247, 602, 513, 1906, 540, 835, 540, 519, 1034, 13267, 9360, 6451, 14055, 609, 1896, 824, 782, 5991, 1823, 5820, 602, 616, 1634, 585, 741, 7145, 538, 20993, 1964, 607, 1134, 607, 1533, 540, 2247, 563, 2252, 596, 20053, 547, 3801, 606, 6221, 602, 26779, 14055, 609, 782, 5991, 1823, 267, 6325, 3334, 267, 972, 616, 513, 1906, 4950, 543, 10733, 332, 625, 593, 519, 19458, 602, 723, 3254, 547, 581, 3407, 538, 519, 3797, 540, 3207, 2042, 269, 631, 699, 569, 3168, 968, 290, 9720, 585, 20026, 892, 786, 6157, 3142, 909, 1896, 3688, 602, 616, 6700, 585, 6165, 676, 24412, 269, 4107, 540, 891, 1357, 4609, 946, 5439, 547, 2638, 585, 3054, 267, 543, 789, 616, 9425, 12595, 269, 1411, 1810, 1406, 723, 547, 4444, 519, 2898, 4950, 607, 1134, 607, 10733, 3240, 10189, 547, 1294, 952, 621, 11226, 707, 1966, 267, 8806, 4444, 513, 1297, 540, 891, 693, 1585, 2053, 540, 519, 3018, 563, 7212, 1082, 1004, 7682, 1967, 609, 14055, 585, 1964, 607, 1134, 607, 1533, 540, 2247, 267, 972, 779, 1869, 1100, 17046, 3621, 6169, 602, 519, 1349, 1281, 960, 269, 1717, 267, 6266, 540, 1004, 945, 723, 2965, 6836, 621, 798, 1867, 15028, 4093, 267, 849, 538, 519, 2110, 3856, 269, 1403, 596, 798, 3442, 547, 2119, 513, 14055, 7110, 610, 1079, 267, 581, 2386, 547, 2911, 609, 707, 3782, 18261, 25656, 267, 3226, 952, 596, 2461, 2921, 1022, 5061, 610, 9360, 269, 2659, 10629, 666, 2303, 513, 1981, 6954, 543, 3608, 18262, 585, 596, 1759, 2390, 707, 2013, 1686, 543, 849, 1699, 4191, 269, 595, 321, 323, 700, 10056, 2060, 30225, 2658, 0, 298, 1794, 574, 1512, 345, 1325, 16535, 267, 26956, 1297, 476, 14093, 267, 729, 835, 540, 1360, 1906, 3811, 9101, 525, 689, 519, 25337, 5834, 3786, 563, 3528, 15506, 5984, 808, 7967, 6199, 267, 2622, 5840, 5240, 454, 298, 1794, 574, 1512, 345, 1325, 16535, 267, 519, 2063, 17005, 24504, 689, 519, 1360, 1101, 26956, 3560, 547, 26401, 267, 5747, 11728, 693, 2085, 476, 9834, 563, 1103, 3045, 23395, 519, 3377, 968, 5976, 1390, 28194, 892, 593, 13638, 267, 519, 26401, 5174, 597, 5287, 879, 17341, 543, 7467, 779, 2046, 5604, 1500, 4063, 540, 519, 1297, 31024, 539, 593, 1010, 6186, 2390, 10024, 519, 25337, 5834, 3786, 1107, 476, 14093, 563, 2704, 16535, 267, 4535, 538, 595, 2350, 578, 267, 1185, 7307, 547, 3444, 689, 13026, 12996, 547, 30355, 25474, 1247, 3843, 547, 3914, 519, 1863, 14470, 7952, 1287, 8108, 538, 5333, 269, 1717, 267, 519, 21647, 9575, 909, 609, 519, 476, 1704, 4458, 6040, 538, 5130, 476, 3707, 271, 543, 646, 729, 23948, 730, 538, 1896, 4025, 1354, 1373, 2322, 593, 519, 1101, 3560, 547, 26401, 267, 799, 8659, 4436, 20737, 543, 14470, 2797, 14586, 563, 4415, 1390, 28194, 649, 4607, 1344, 827, 519, 2669, 540, 20673, 574, 1512, 345, 1325, 16535, 267, 519, 2063, 2713, 31848, 540, 519, 1101, 3560, 540, 2717, 525, 547, 519, 4436, 26401, 3786, 630, 5591, 269, 476, 14093, 1070, 513, 3659, 540, 519, 17341, 267, 513, 1279, 3856, 4759, 540, 519, 4139, 26401, 7027, 269, 1261, 729, 476, 9834, 1296, 2025, 269, 17552, 6745, 342, 7867, 2593, 270, 2190, 309, 344, 329, 306, 12028, 323, 292, 454, 1765, 26401, 17341, 31822, 288, 24671, 300, 5237, 264, 5147, 476, 2537, 267, 476, 1001, 280, 454, 5472, 1927, 267, 930, 476, 5611, 267, 1822, 1875, 11219, 28779, 14470, 14586, 941, 2366, 547, 26401, 267, 827, 3368, 540, 7247, 5747, 267, 2687, 547, 519, 26401, 9754, 563, 3891, 729, 2322, 547, 960, 538, 513, 7802, 12051, 1354, 1373, 11843, 547, 519, 10051, 602, 5423, 1426, 585, 519, 9399, 22651, 269, 2991, 3592, 1614, 1296, 540, 10553, 4074, 267, 646, 7307, 547, 9101, 609, 513, 3659, 593, 5988, 476, 2767, 267, 476, 3707, 274, 267, 6707, 585, 3429, 606, 476, 5390, 5757, 547, 798, 865, 563, 17606, 729, 513, 5182, 787, 3781, 267, 1472, 14263, 476, 279, 610, 14263, 476, 1015, 5232, 17622, 630, 1691, 610, 476, 1704, 18278, 264, 3544, 2223, 646, 5143, 589, 17025, 538, 513, 476, 1001, 276, 5967, 269, 968, 2171, 3576, 938, 9660, 1055, 543, 941, 28870, 2066, 519, 3752, 320, 5211, 950, 594, 4862, 519, 521, 790, 333, 2507, 10979, 1166, 3996, 11303, 721, 3034, 5445, 941, 1079, 540, 1152, 476, 13893, 3811, 9101, 525, 689, 519, 3786, 1950, 538, 799, 930, 476, 272, 269, 272, 2929, 1004, 267, 519, 5318, 5354, 540, 873, 7642, 267, 941, 23689, 563, 6097, 547, 519, 17728, 1325, 16535, 3370, 538, 476, 2735, 280, 267, 519, 21647, 3576, 20947, 593, 1010, 1920, 267, 10654, 532, 1312, 1010, 3993 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5496, 1040, 1358, 666, 581, 10480, 513, 2923, 596, 666, 1118, 693, 1753, 1210, 16693, 267, 4006, 267, 15837, 1166, 1389, 267, 543, 13803, 269, 5269, 2386, 519, 1426, 3884, 1405, 1932, 6632, 610, 1932, 3819, 269, 1403, 519, 1426, 568, 1932, 6632, 519, 13733, 786, 1205, 12758, 538, 741, 1426, 267, 543, 952, 519, 1426, 568, 1932, 3819, 267, 519, 16793, 789, 2482, 786, 5884, 1354, 7782, 908, 563, 293, 8816, 13733, 1491, 9625, 1015, 2395, 547, 3914, 15657, 2899, 789, 616, 9788, 269, 901, 1184, 568, 5258, 909, 883, 1896, 5933, 543, 568, 1360, 4277, 269, 634, 4212, 1101, 10953, 3330, 519, 3993, 607, 4212, 20830, 269, 4438, 519, 2063, 5933, 540, 4212, 12068, 1646, 519, 14203, 267, 799, 568, 6740, 538, 519, 521, 704, 3901, 515, 322, 2801, 267, 568, 3773, 547, 519, 4212, 543, 519, 2281, 5885, 519, 1646, 540, 519, 4212, 5884, 1247, 8108, 519, 5798, 17850, 543, 12419, 519, 2063, 540, 741, 5567, 547, 519, 4212, 269, 4495, 519, 14203, 6992, 3278, 519, 4212, 267, 1646, 5956, 269, 22050, 337, 1637, 1287, 4386, 9625, 274, 3108, 2663, 269, 1452, 24201, 1020, 883, 16793, 267, 799, 12387, 339, 1896, 2053, 4758, 4473, 547, 476, 274, 3982, 2010, 540, 16793, 267, 1142, 8273, 982, 519, 2063, 269, 2991, 1472, 476, 278, 2395, 267, 519, 16793, 4734, 519, 1426, 789, 723, 1044, 2713, 538, 543, 8023, 1055, 540, 543, 2253, 29595, 585, 513, 1747, 547, 1831, 7782, 2801, 269, 901, 568, 519, 3942, 950, 519, 23009, 2670, 689, 12586, 9366, 547, 8038, 4386, 269, 1411, 666, 1294, 873, 1020, 3330, 540, 540, 513, 8825, 10859, 20675, 331, 1075, 550, 9279, 3019, 269, 4495, 789, 9096, 3384, 267, 789, 786, 17772, 846, 630, 1002, 577, 264, 856, 540, 741, 9279, 9398, 543, 1376, 3168, 585, 513, 19898, 1310, 513, 1906, 3108, 269, 5221, 540, 519, 4028, 1272, 4783, 540, 4829, 13733, 267, 621, 568, 1655, 547, 1689, 741, 14569, 1169, 476, 273, 268, 274, 4374, 269, 589, 11480, 666, 2844, 13733, 585, 1896, 811, 4374, 267, 855, 621, 568, 711, 15695, 2094, 519, 13733, 786, 1831, 1447, 2635, 543, 1510, 29089, 2510, 267, 519, 1426, 786, 1831, 9044, 344, 269, 634, 1646, 942, 540, 4829, 13733, 666, 581, 12012, 676, 2837, 267, 865, 713, 1184, 666, 1831, 513, 1906, 2395, 5488, 610, 14887, 4470, 593, 519, 2175, 789, 616, 2713, 538, 563, 2467, 616, 1082, 1114, 12490, 540, 4829, 13733, 2139, 2228, 269, 634, 4829, 8038, 11646, 666, 581, 6594, 538, 1390, 1469, 593, 8940, 8807, 569, 19668, 3820, 454, 7021, 476, 274, 270, 275, 540, 519, 6090, 723, 4573, 1218, 2139, 267, 543, 8940, 8807, 569, 19668, 3820, 786, 1683, 519, 6402, 547, 519, 6006, 4099, 602, 786, 581, 2111, 547, 1683, 602, 8833, 547, 596, 269, 4107, 30354, 12490, 267, 607, 1134, 607, 513, 5458, 1297, 540, 1098, 2102, 324, 545, 13733, 616, 2139, 693, 8038, 560, 4169, 12500, 1470, 269, 785, 10005, 12975, 563, 763, 1646, 540, 1082, 540, 891, 4573, 1218, 568, 1360, 4277, 267, 543, 519, 4999, 540, 13592, 543, 1098, 2102, 923, 666, 1683, 2614, 1007, 1344, 547, 2226, 5215, 11678, 538, 6211, 1382, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 288, 5467, 5206, 547, 721, 513, 1247, 3516, 827, 930, 1507, 3043, 16793, 609, 3109, 9843, 610, 1018, 1082, 786, 23366, 267, 855, 27235, 267, 3277, 547, 607, 1507, 3043, 17494, 609, 3109, 9843, 602, 646, 814, 1044, 4466, 907, 763, 6960, 2173, 1054, 661, 1575, 549, 551, 529, 669, 787, 7717, 9071, 4141, 320, 568, 513, 26615, 540, 519, 1920, 661, 516, 321, 13160, 20193, 568, 5065, 547, 2342, 267, 15231, 2477, 538, 5607, 267, 543, 519, 5087, 5032, 540, 4000, 269, 2677, 18587, 540, 17061, 267, 1775, 4318, 1421, 1804, 2551, 4679, 540, 1896, 1296, 8653, 267, 723, 1044, 4080, 607, 2484, 1394, 607, 519, 476, 5611, 271, 338, 269, 634, 1272, 4783, 540, 519, 26615, 568, 693, 2988, 673, 267, 538, 602, 621, 22939, 5111, 8370, 3275, 4864, 547, 4989, 1547, 299, 2096, 656, 6319, 9011, 9011, 267, 4122, 1634, 607, 519, 14934, 10043, 26615, 267, 3864, 14934, 10043, 26615, 267, 610, 3345, 1977, 14934, 10043, 26615, 267, 568, 513, 26615, 538, 519, 1920, 661, 516, 321, 13160, 602, 568, 540, 20195, 22057, 5169, 269, 898, 814, 513, 2039, 799, 6227, 2342, 267, 4000, 267, 543, 3345, 3013, 269, 14161, 700, 4883, 30906, 1101, 4330, 519, 2249, 700, 2096, 656, 6319, 9011, 538, 476, 11260, 279, 269, 634, 1641, 540, 804, 269, 2305, 814, 4957, 2429, 519, 1296, 267, 4611, 538, 10539, 1547, 8469, 10882, 2725, 531, 631, 16251, 269, 634, 11335, 4469, 712, 631, 1054, 568, 10169, 3677, 982, 519, 4095, 2725, 531, 631, 1054, 4886, 543, 3441, 616, 2147, 547, 519, 4095, 7594, 26615, 267, 4849, 519, 16793, 2661, 543, 3049, 538, 1507, 16536, 839, 789, 8095, 907, 0, 6624, 3197, 979, 998, 14759, 538, 519, 25243, 4484, 267, 543, 835, 540, 1346, 3197, 568, 556, 3164, 526, 818, 11037, 3897, 6996, 23014, 2278, 562, 11936, 1408, 17761, 25079, 269, 670, 6856, 533, 787, 333, 928, 543, 3897, 6996, 23014, 1382, 4574, 4983, 519, 1292, 3197, 540, 519, 25243, 4484, 676, 17761, 25079, 1382, 1957, 5830, 948, 596, 1174, 563, 1103, 519, 25243, 4484, 676, 562, 11936, 1408, 17761, 25079, 267, 646, 3122, 543, 3897, 6996, 23014, 616, 1303, 22931, 538, 1582, 1673, 601, 4288, 1317, 789, 616, 1312, 9575, 909, 538, 513, 7301, 7664, 540, 269, 14880, 3897, 6996, 23014, 1557, 1806, 476, 10695, 2698, 2164, 513, 6609, 540, 519, 7209, 540, 2043, 17814, 538, 519, 2013, 540, 646, 3122, 533, 787, 333, 928, 543, 818, 11037, 269, 23011, 669, 3739, 10290, 781, 5609, 729, 519, 1249, 602, 646, 7142, 646, 3122, 883, 513, 968, 32401, 543, 1165, 569, 267, 1200, 8467, 892, 1007, 3594, 593, 519, 25243, 4484, 630, 31748, 8822, 281, 4342, 8822, 1547, 769, 1412, 1492, 25243, 4484, 262, 676, 562, 11936, 1408, 17761, 25079, 267, 1082, 3197, 5609, 2705, 267, 818, 11037, 3897, 6996, 23014, 267, 519, 5939, 17308, 267, 862, 1080, 519, 10782, 21359, 646, 3122, 533, 787, 333, 928, 563, 13625, 12744, 811, 7602, 497, 1312, 646, 3122, 543, 3897, 6996, 23014, 267, 616, 3197, 538, 519, 25243, 4484, 789, 7985, 609, 519, 16203, 540, 519, 5609, 540, 13277, 6670, 602, 789, 8149, 563, 1103, 562, 11936, 1408, 17761, 25079, 781, 519, 25243, 4484, 267, 32275, 3897, 6996, 23014, 781, 6574, 5728, 568, 1010, 5609, 540, 13277, 6670, 609, 646, 3122, 533, 787, 333, 928, 32275, 3897, 6996, 23014, 21787, 602, 1010, 9997, 269, 3883, 281, 25243, 4484, 2278, 281, 562, 11936, 1408, 17761, 25079, 2140, 540, 1957, 281, 14336, 4800, 713, 1557, 19320, 818, 11037, 3897, 6996, 23014, 689, 519, 25243, 4484, 547, 737, 3317, 996, 2482, 267, 519, 269, 14880, 3897, 6996, 23014, 16203, 1557, 267, 818, 11037, 3897, 6996, 23014, 267, 899, 646, 3122, 533, 787, 333, 928, 267, 568, 606, 1367, 4171, 3961, 7640, 525, 811, 547, 5007, 6381, 982, 547, 1010, 17916, 552, 563, 295, 611, 547, 5957, 519, 25243, 4484, 513, 1352, 7959, 602, 1200, 5609, 814, 3144, 2476, 3388, 1352, 1185, 887, 3455, 669, 3739, 10290, 2501, 547, 536, 10667, 547, 3343, 856, 1010, 7385, 267, 646, 3122, 269, 5131, 1557, 281, 646, 3122, 5288, 519, 2146, 538, 519, 25243, 4484, 562, 11936, 1408, 519, 1292, 3197, 538, 519, 1650, 616, 646, 3122, 533, 787, 333, 928, 267, 818, 11037, 3897, 6996, 23014, 267, 543, 887, 3455, 269, 589, 2009, 5098, 3948, 585, 519, 1557, 1131, 581, 607, 5205, 538, 519, 25243, 4484, 519, 556, 3164, 526, 818, 11037, 3897, 6996, 23014, 13587, 1161, 519, 10034, 15161, 269, 8191, 562, 11936, 1408, 17761, 25079, 818, 11037, 3897, 6996, 23014, 1557, 1806, 476, 273, 267, 3607, 278, 2698, 2164, 7421, 818, 11037, 3897, 6996, 323, 2297, 3239, 538, 519, 25243, 4484, 676, 562, 11936, 1408, 563, 763, 25243, 4484, 540, 646, 3122, 533, 787, 333, 928, 543, 818, 11037, 3897, 6996, 23014, 1557, 476, 4489, 275, 1913, 476, 279, 3817, 519, 25243, 4484, 568, 513, 5929, 3209, 2854, 676, 562, 11936, 1408, 17761, 25079, 269, 670, 6856, 533, 787, 333, 928, 267, 519, 7385, 540, 887, 3455, 669, 3739, 10290, 267, 8813, 538, 2648, 609, 519, 2847, 818, 11037, 3897, 6996, 23014, 543, 519, 1079, 723, 513, 1126, 267, 27081, 519, 3209, 7710, 519, 2360, 540, 563, 10403, 1557, 281, 519, 25243, 4484, 541, 11037, 3897, 6996, 23014, 556, 3164, 526, 818, 11037, 3897, 6996, 23014, 267, 513, 1292, 1915, 538, 562, 11936, 1408, 17761, 25079, 781, 3209, 519, 25243, 4484, 267, 18327, 547, 563, 295, 6856, 533, 787, 333, 928, 568, 4547, 856, 547, 519, 21934, 1245, 602, 1350, 334, 3912, 12784, 543, 568, 519, 812, 1634, 607, 556, 3164, 526, 3897, 6996, 23014, 568, 519, 1268, 945, 646, 3122, 1185, 1200, 26035, 609, 646, 729, 25243, 4484, 1769, 543, 4158, 6476, 3594, 2261, 869, 4484, 269, 4438, 713, 3992, 267, 649, 786, 4983, 818, 11037, 3897, 6996, 23014, 267, 835, 540, 519, 3844, 3197, 538, 1412, 1492, 25243, 4484, 262, 676, 562, 11936, 1408, 17761, 25079, 513, 5618, 4729, 7650, 11783, 0, 288, 4116, 3091, 513, 1614, 22173, 1544, 585, 1603, 1271, 1382, 4574, 610, 3594, 2328, 610, 1826, 707, 11315, 8908, 689, 519, 22921, 267, 1957, 12641, 5792, 6486, 269, 20638, 2220, 321, 520, 1451, 875, 547, 2490, 741, 7291, 883, 513, 11315, 8908, 1053, 6170, 942, 2907, 1565, 875, 547, 798, 606, 7291, 585, 513, 1382, 1957, 269, 14474, 1154, 1931, 540, 3817, 5920, 2140, 2985, 630, 5408, 1383, 264, 476, 276, 268, 279, 3817, 630, 7224, 26333, 610, 10643, 593, 519, 1101, 2985, 264, 16289, 1182, 630, 604, 596, 616, 1519, 563, 763, 1739, 7291, 2982, 513, 2596, 3898, 585, 1034, 4081, 4574, 952, 513, 1382, 1957, 267, 946, 2178, 2963, 689, 2959, 1765, 1706, 7469, 29320, 267, 24096, 267, 543, 269, 1879, 1603, 513, 1382, 1957, 267, 707, 1292, 5539, 568, 547, 3605, 2328, 513, 11315, 8908, 609, 519, 4367, 267, 1560, 543, 519, 3932, 269, 589, 1390, 5413, 540, 2348, 1382, 1957, 5439, 2282, 693, 1688, 568, 602, 596, 666, 5635, 707, 1378, 11315, 8908, 609, 519, 3732, 543, 2708, 1141, 596, 1796, 563, 276, 575, 831, 4143, 1344, 476, 277, 1020, 3803, 7291, 476, 278, 5965, 11315, 8908, 476, 279, 23590, 678, 4454, 8908, 476, 280, 5965, 3803, 8908, 269, 3776, 1434, 5830, 540, 11315, 8908, 7084, 948, 666, 2347, 519, 8908, 5265, 538, 1082, 3268, 1247, 1603, 513, 1957, 593, 513, 1382, 7084, 948, 267, 649, 991, 547, 1547, 901, 1353, 5059, 593, 519, 2360, 540, 1114, 4835, 2829, 543, 5007, 15128, 593, 1353, 8942, 547, 1246, 538, 586, 16808, 639, 262, 3723, 25074, 676, 4974, 3750, 5322, 538, 563, 2005, 568, 1271, 547, 3815, 2614, 942, 883, 519, 1382, 7084, 585, 1053, 547, 960, 2899, 596, 723, 20335, 593, 1957, 607, 1454, 607, 596, 723, 547, 2161, 267, 1224, 621, 1394, 1547, 5403, 602, 4063, 593, 519, 6316, 540, 707, 5496, 610, 1985, 547, 707, 1957, 952, 596, 2811, 13002, 952, 596, 2811, 2469, 547, 1491, 519, 8373, 547, 2328, 513, 11315, 8908, 540, 269, 901, 1382, 1957, 11315, 8908, 19875, 2488, 1312, 3610, 543, 1053, 513, 2241, 4879, 547, 3313, 1018, 2127, 540, 519, 11315, 8908, 991, 563, 2080, 616, 513, 1906, 4388, 543, 15361, 547, 948, 596, 29907, 856, 602, 1382, 1957, 899, 513, 605, 15513, 538, 942, 585, 1382, 267, 1603, 606, 7291, 543, 11315, 8908, 267, 543, 2847, 2358, 269, 5675, 513, 11315, 8908, 568, 1034, 1271, 5123, 538, 1603, 513, 1382, 1957, 713, 5123, 2337, 1053, 547, 10891, 782, 741, 3860, 2093, 543, 741, 269, 6969, 596, 2253, 547, 2328, 707, 1382, 1957, 11315, 8908, 267, 596, 723, 930, 3664, 547, 1118, 827, 3898, 267, 610, 875, 707, 1957, 786, 1413, 607, 596, 2328, 267, 596, 723, 547, 563, 4692, 579, 782, 2995, 803, 875, 1454, 942, 621, 3576, 547, 2328, 519, 1957, 602, 579, 2366, 585, 13629, 782, 579, 616, 2469, 547, 2322, 538, 519, 1957, 1299, 849, 2854, 513, 4990, 540, 11315, 8908, 1250, 12031, 264, 2501, 689, 1603, 4574, 585, 799, 1775, 1185, 1382, 269, 1879, 3257, 1382, 1957, 1603, 267, 1246, 782, 540, 891, 1808, 2798, 547, 3257, 519, 1382, 2870, 606, 7291, 630, 3697, 713, 835, 264, 3257, 519, 1603, 630, 893, 8908, 269, 11473, 2813, 676, 6280, 540, 1608, 4727, 267, 3352, 341, 710, 585, 519, 1576, 1788, 281, 1603, 513, 1382, 1957, 713, 3018, 267, 596, 1058, 3136, 2324, 593, 519, 1101, 8908, 269, 4107, 540, 519, 1053, 1174, 519, 4644, 540, 1603, 606, 7291, 1354, 4358, 593, 1382, 1957, 11315, 8908, 1603, 606, 7291, 568, 711, 1152, 5363, 585, 873, 11783, 0, 11900, 335, 790, 707, 1053, 547, 1020, 513, 6612, 585, 1603, 267, 2259, 2542, 8223, 267, 543, 1628, 6863, 543, 8239, 1983, 609, 891, 1893, 6575, 3992, 4566, 269, 5675, 2638, 856, 938, 1863, 7005, 2200, 1644, 547, 1603, 267, 10023, 513, 2039, 540, 2228, 2093, 585, 1965, 331, 3992, 4566, 948, 1053, 2087, 741, 1603, 1983, 269, 4855, 4245, 585, 519, 1114, 3029, 540, 1603, 267, 1612, 698, 19207, 338, 267, 1603, 12987, 1299, 1454, 811, 1863, 3992, 4566, 543, 7792, 3211, 269, 5675, 3992, 4566, 267, 2238, 543, 7792, 3211, 1863, 585, 4928, 610, 1753, 946, 269, 5675, 513, 3992, 1544, 786, 2327, 602, 596, 616, 5423, 585, 707, 1362, 543, 786, 1118, 621, 2196, 811, 12347, 621, 568, 1271, 547, 2736, 519, 1570, 909, 883, 1896, 269, 5131, 1603, 3992, 1544, 585, 9344, 737, 547, 476, 276, 563, 16240, 1983, 3992, 4566, 543, 3211, 689, 5215, 540, 4116, 24595, 2200, 547, 948, 596, 8300, 1053, 1565, 269, 7689, 1544, 476, 4905, 4367, 707, 14357, 267, 28642, 1273, 1562, 517, 1765, 9690, 569, 519, 1655, 5498, 29818, 2278, 538, 519, 1158, 1765, 7410, 596, 917, 1018, 646, 814, 9709, 585, 707, 1362, 543, 269, 589, 13085, 4871, 540, 1603, 3992, 4566, 267, 3211, 543, 3450, 2093, 689, 938, 4274, 4589, 269, 3657, 707, 3860, 1603, 5049, 4743, 513, 2370, 20585, 1281, 707, 1053, 262, 1603, 991, 811, 9345, 543, 5578, 2119, 930, 540, 891, 3992, 4566, 547, 24996, 1919, 909, 563, 306, 2389, 2433, 1287, 512, 1606, 1292, 2534, 476, 272, 630, 1408, 1206, 476, 1556, 1449, 476, 275, 1603, 4305, 476, 272, 543, 4199, 476, 272, 543, 476, 273, 585, 2043, 267, 4199, 476, 274, 320, 585, 2178, 267, 8746, 2516, 610, 2043, 267, 610, 269, 15154, 7184, 827, 1142, 1900, 540, 513, 3992, 22316, 3610, 585, 1967, 561, 1176, 795, 2158, 8843, 2947, 2081, 547, 1451, 998, 4058, 538, 713, 5816, 269, 1284, 1413, 693, 2647, 3099, 540, 1603, 2238, 538, 891, 4245, 649, 2263, 3029, 540, 1603, 543, 1383, 12987, 9748, 540, 4245, 585, 596, 563, 8893, 4566, 616, 519, 3694, 543, 7423, 540, 1434, 10026, 1153, 3450, 1934, 616, 930, 2656, 4388, 585, 1603, 513, 4396, 543, 2312, 3992, 1544, 269, 2060, 2219, 4538, 12987, 267, 707, 1053, 786, 2648, 3384, 2984, 543, 8026, 1603, 2553, 609, 891, 4143, 267, 4277, 1603, 4245, 269, 476, 272, 268, 1015, 540, 476, 277, 2764, 2164, 689, 1224, 16261, 996, 1074, 538, 3332, 3210, 2516, 543, 1603, 827, 950, 789, 4810, 513, 2147, 476, 278, 1923, 3992, 1544, 269, 1703, 616, 1082, 4485, 547, 1603, 3992, 4566, 930, 16929, 1020, 741, 4566, 10446, 689, 15072, 267, 1247, 1866, 10210, 4566, 689, 513, 3838, 6437, 563, 4131, 707, 15795, 17263, 1053, 1397, 875, 19511, 789, 616, 267, 609, 938, 1034, 2442, 3860, 1603, 25258, 585, 1569, 547, 5215, 540, 3450, 2200, 1129 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 307, 3949, 543, 8524, 338, 2472, 693, 1585, 5933, 540, 2504, 1184, 543, 735, 3796, 543, 27786, 8579, 1239, 547, 3313, 543, 2226, 2298, 543, 10727, 540, 2472, 676, 7900, 519, 1739, 11645, 563, 29973, 667, 583, 625, 543, 13786, 4850, 454, 514, 2850, 519, 1739, 269, 4033, 11645, 949, 581, 8655, 563, 11328, 2181, 1206, 4702, 12400, 267, 28176, 12222, 267, 610, 12596, 543, 1476, 619, 609, 2359, 610, 4702, 5234, 547, 3313, 2298, 543, 10727, 4441, 563, 15675, 338, 2472, 585, 4255, 693, 9138, 5933, 538, 2504, 1184, 267, 543, 4255, 2472, 585, 3099, 540, 7907, 971, 607, 7516, 267, 2773, 267, 543, 7344, 267, 5122, 267, 610, 3114, 4162, 563, 13434, 3581, 1449, 1239, 267, 7311, 8579, 2298, 1852, 5773, 563, 24066, 340, 919, 1239, 543, 11339, 5359, 547, 19472, 610, 5815, 24017, 689, 4540, 4441, 563, 27775, 1742, 12381, 540, 4540, 2298, 610, 2504, 4441, 547, 3035, 19993, 2298, 1369, 7182, 540, 3937, 12588, 563, 306, 1115, 909, 543, 15824, 16160, 543, 562, 1180, 652, 10614, 4255, 593, 2326, 267, 2694, 267, 610, 2472, 547, 2268, 2773, 267, 1272, 267, 610, 1570, 4162, 563, 7093, 335, 4100, 11708, 610, 12125, 540, 1239, 610, 13788, 1239, 883, 2780, 585, 2079, 563, 2414, 1685, 713, 2816, 6707, 267, 606, 1367, 1590, 581, 2111, 547, 1685, 1142, 1898, 10279, 4794, 26476, 1176, 269, 634, 4170, 7396, 2630, 616, 11347, 540, 519, 1702, 267, 5578, 267, 543, 5924, 2702, 2838, 269, 17217, 762, 22581, 949, 581, 1500, 547, 5512, 2043, 609, 9124, 547, 1685, 519, 1898, 3252, 563, 19733, 543, 5924, 15232, 454, 11947, 1153, 26885, 610, 2489, 2069, 4110, 630, 294, 3633, 1040, 18771, 723, 476, 273, 1296, 1995, 538, 606, 18869, 12010, 271, 610, 6789, 280, 1015, 271, 2816, 6300, 1604, 267, 609, 1995, 538, 519, 2930, 1983, 607, 3989, 563, 6781, 1006, 547, 1224, 543, 4612, 6054, 971, 607, 3106, 3652, 267, 5665, 543, 5826, 5528, 267, 543, 5650, 8261, 338, 269, 31727, 547, 2328, 6296, 5359, 543, 19359, 269, 31727, 547, 3717, 3927, 1354, 2516, 540, 5561, 610, 5520, 540, 3919, 269, 18771, 581, 2111, 547, 1224, 543, 1174, 12400, 543, 1250, 331, 1513, 563, 6781, 1006, 547, 4019, 2035, 540, 2596, 7223, 543, 9511, 563, 6781, 1006, 547, 4019, 1455, 2631, 1620, 547, 4163, 856, 5528, 7677, 1639, 538, 2854, 267, 5711, 267, 610, 6516, 1106, 269, 31727, 547, 4308, 609, 2042, 5473, 1896, 6405, 4632, 538, 13387, 3871, 563, 2414, 1685, 713, 2816, 6707, 21353, 545, 2780, 1983, 616, 2838, 563, 763, 2168, 7569, 4330, 1934, 616, 11347, 540, 1346, 602, 1590, 581, 1558, 676, 606, 9441, 547, 6707, 1685, 519, 1898, 3252, 540, 713, 2816, 269, 17217, 762, 22581, 949, 581, 1500, 547, 5512, 2043, 609, 9124, 547, 1685, 519, 1898, 3252, 563, 4407, 7900, 519, 11645, 540, 713, 2816, 267, 519, 9441, 568, 4749, 2838, 547, 1796, 282, 3802, 282, 1694, 282, 946, 3946, 547, 9416, 267, 6023, 267, 610, 1745, 282, 3914, 609, 3946, 543, 7916, 282, 18214, 610, 3666, 282, 588, 17274, 267, 9054, 601, 267, 524, 709, 577, 267, 610, 31770, 543, 2911, 610, 5873, 269, 634, 9441, 1590, 5781, 12740, 543, 1315, 528, 1847, 909, 547, 476, 1015, 6550, 543, 12212, 12740, 543, 5924, 1847, 909, 547, 476, 2004, 6550, 269, 16930, 5075, 5759, 2838, 676, 713, 2816, 1331, 2673, 5075, 267, 3845, 5075, 267, 15672, 5075, 267, 3178, 8226, 543, 2702, 547, 4188, 1445, 563, 763, 960, 1604, 4162, 4330, 1934, 616, 11347, 540, 1346, 606, 9441, 13341, 1247, 7900, 519, 1898, 3252, 540, 713, 2816, 269, 17217, 762, 22581, 949, 581, 1500, 547, 5512, 2043, 609, 9124, 547, 1685, 519, 1898, 3252, 563, 4407, 7900, 519, 11645, 540, 713, 16763, 267, 519, 9441, 568, 5781, 6534, 547, 3001, 7344, 2694, 282, 32669, 610, 23197, 5536, 282, 1981, 540, 5122, 8710, 543, 19089, 269, 634, 6846, 1377, 538, 519, 960, 1604, 568, 2356, 9793, 563, 2414, 1685, 519, 2816, 6707, 267, 606, 1367, 1058, 6542, 519, 1739, 21941, 10778, 17637, 910, 18771, 6542, 3007, 547, 1469, 563, 20007, 673, 10341, 281, 5899, 1161, 547, 11179, 1628, 1702, 543, 1983, 269, 18771, 581, 2111, 547, 1224, 267, 1174, 543, 4612, 7177, 12400, 267, 23039, 29251, 609, 2404, 2694, 1592, 543, 4967, 1592, 267, 543, 1644, 16551, 269, 7743, 6165, 540, 2983, 6248, 17435, 3290, 532, 543, 570, 11217, 3496, 630, 31270, 261, 307, 264, 568, 513, 1590, 2059, 609, 1620, 540, 31951, 10974, 630, 306, 267, 312, 267, 313, 1040, 16200, 2627, 6676, 14791, 11768, 543, 12191, 844, 718, 885, 616, 513, 1590, 607, 616, 946, 540, 8856, 1688, 14791, 2645, 630, 324, 3052, 269, 12130, 668, 2678, 14727, 8932, 704, 270, 3891, 697, 5776, 270, 14818, 25824, 1807, 270, 3682, 339, 847, 528, 270, 1320, 1348, 11690, 543, 8258, 575, 1137, 269, 1547, 1547, 264, 9701, 723, 2324, 1702, 540, 31627, 607, 30677, 10313, 1807, 270, 3682, 16344, 10309, 24250, 1442, 6202, 21052, 512, 6856, 269, 695, 340, 1245, 723, 2324, 1702, 540, 16551, 609, 2078, 540, 6151, 1570, 23212, 2059, 609, 2324, 1702, 540, 16551, 609, 2078, 547, 2027, 4393, 568, 5551, 563, 10870, 15453, 25732, 10724, 630, 290, 12613, 264, 1995, 538, 519, 3156, 540, 7900, 6482, 2534, 543, 5752, 568, 5551, 563, 11328, 26051, 10341, 910, 10312, 525, 593, 6061, 4655, 267, 711, 1025, 5446, 282, 6301, 13935, 22637, 282, 5903, 839, 547, 1866, 1510, 14443, 532, 282, 5901, 338, 4664, 896, 1852, 282, 3816, 1622, 1930, 547, 1866, 262, 2093, 543, 13290, 1007, 1919, 563, 302, 1537, 9442, 910, 5903, 839, 543, 4991, 27792, 269, 18771, 581, 2111, 547, 2285, 3049, 1394, 547, 12427, 593, 2783, 540, 476, 272, 560, 4062, 2694, 865, 602, 1697, 11941, 666, 581, 1500, 547, 18981, 9479, 543, 13726, 1115, 563, 24309, 9442, 910, 13360, 525, 5693, 543, 1217, 8271, 282, 3465, 757, 10230, 1239, 3927, 282, 589, 1076, 547, 1224, 543, 4612, 2854, 1344, 269, 18771, 581, 2111, 547, 1224, 543, 1174, 12400, 543, 1250, 331, 1513, 563, 5938, 600, 1740, 910, 19928, 2373, 547, 2679, 513, 2318, 2319, 6891, 282, 4675, 2176, 3025, 781, 3646, 547, 8011, 563, 297, 19276, 618, 910, 2598, 680, 904, 18515, 547, 1118, 3664, 282, 1401, 3031, 1080, 3280, 543, 4977, 10385, 282, 4675, 2176, 543, 6941, 7744, 585, 3664, 282, 22291, 3617, 1004, 538, 3375, 6194, 1184, 282, 24439, 12905, 3664, 563, 300, 582, 10474, 910, 23227, 919, 18094, 543, 936, 3699, 9465, 282, 21474, 1582, 1996, 3044, 540, 17284, 563, 5522, 8911, 270, 16391, 1944, 910, 21964, 942, 7561, 563, 32153, 1143, 910, 22604, 1866, 538, 513, 8671, 995, 6073, 282, 1234, 9711, 1134, 896, 2604, 282, 20504, 338, 5539, 585, 1378, 3527, 563, 26660, 910, 23227, 919, 6111, 543, 9488, 1145, 282, 6733, 338, 585, 2081, 547, 2087, 543, 3895, 2298, 282, 10331, 625, 5955, 547, 2087, 2773, 282, 3933, 6002, 1378, 960, 547, 2327, 2298, 563, 23797, 640, 910, 2725, 1115, 7607, 4441, 282, 7388, 5052, 960, 538, 12905, 6073, 282, 5899, 1161, 547, 2333, 7607, 563, 32552, 543, 8232, 910, 9866, 12883, 3106, 543, 3354, 5773, 282, 10318, 1149, 3617, 2962, 3564, 4808, 282, 18614, 5732, 22247, 2175, 6902, 21964, 3937, 543, 2326, 5265, 563, 3849, 2194, 1464, 910, 11154, 338, 547, 2242, 538, 519, 960, 1604, 282, 2494, 1137, 12721, 7569, 282, 15448, 1935, 610, 1505, 547, 1655, 3514, 519, 3510, 282, 589, 1076, 547, 4308, 609, 7928, 1689, 267, 17799, 267, 610, 6397, 2621, 563, 16920, 754, 766, 18025, 9417, 7081, 910, 1772, 9846, 693, 960, 543, 593, 942, 282, 3416, 999, 960, 9021, 616, 4988, 950, 15534, 563, 291, 2570, 1464, 910, 7427, 338, 5528, 267, 20781, 547, 2359, 4287, 282, 570, 1389, 5539, 585, 1378, 3527, 282, 5901, 338, 19647, 282, 2155, 1080, 547, 1279, 3108, 540, 960, 950, 2556, 547, 3914, 3853, 5919, 7388, 5052, 4247, 593, 942, 610, 711, 5809, 3617, 1268, 609, 606, 14595, 1544, 563, 22873, 14306, 910, 1306, 802, 585, 543, 3091, 948, 950, 2877, 563, 1103, 2617, 566, 910, 9198, 919, 10372, 585, 5355, 960, 563, 2171, 616, 10583, 547, 581, 513, 19010, 308, 294, 6363, 12767, 2754, 269, 4530, 585, 10363, 5061, 616, 2838, 1991, 547, 17849, 543, 21237, 1282, 7694, 4586, 1607, 2990, 786, 2154, 827, 476, 3374, 260, 2951, 2702, 547, 3028, 938, 824, 2030, 538, 519, 1858, 563, 5472, 707, 1344, 786, 581, 6854, 14804, 2687, 547, 661, 292, 302, 4808, 8487, 268, 5020, 15928, 454, 268, 10374, 12910, 26225, 454, 268, 7043, 12910, 26225, 454, 268, 623, 4660, 31054, 454, 268, 9608, 5384, 454, 293, 677, 9546, 2023, 7557, 1456, 267, 5549, 269, 729, 4646, 538, 476, 2735, 278, 607, 513, 2027, 2688, 5663, 5106, 4481, 547, 3028, 661, 326, 4802, 5794, 10414, 12476, 543, 1862, 0, 10481, 3941, 344, 568, 519, 2257, 540, 8159, 519, 9511, 267, 8904, 2361, 267, 543, 10047, 540, 519, 3047, 543, 741, 4720, 538, 942, 269, 27603, 267, 2520, 3941, 344, 814, 1044, 7674, 824, 9443, 543, 814, 1185, 1082, 6848, 3156, 267, 1519, 11837, 269, 2060, 519, 4417, 540, 9682, 2029, 267, 2520, 3941, 344, 3294, 2919, 883, 513, 2257, 267, 1818, 2189, 7418, 547, 519, 1353, 540, 519, 3047, 1062, 267, 922, 27836, 6384, 267, 543, 922, 3210, 547, 2916, 1689, 267, 607, 1134, 607, 513, 1907, 30343, 513, 2647, 3099, 540, 824, 6552, 15392, 2553, 269, 2983, 3941, 344, 568, 606, 1271, 3693, 538, 1818, 782, 3047, 7422, 954, 6016, 762, 267, 14123, 519, 4999, 540, 9682, 7422, 609, 1346, 10356, 593, 2666, 563, 763, 3864, 6820, 32522, 31420, 3590, 630, 294, 301, 7704, 264, 568, 1572, 31595, 269, 15894, 281, 30673, 454, 293, 659, 4106, 730, 676, 6820, 32522, 31420, 7010, 971, 607, 15870, 267, 513, 2647, 543, 3395, 1305, 540, 3156, 2404, 609, 17568, 543, 12445, 568, 6679, 909, 563, 10481, 3941, 344, 2488, 519, 5748, 593, 799, 782, 3047, 8343, 1949, 616, 3710, 269, 769, 713, 1599, 267, 2520, 3941, 344, 568, 1898, 585, 3047, 8343, 1175, 899, 519, 5748, 543, 7406, 540, 513, 2777, 616, 2556, 547, 1832, 621, 7123, 936, 942, 563, 3719, 2413, 2520, 3941, 344, 1281, 811, 281, 609, 922, 1614, 22225, 540, 2520, 758, 514, 14670, 923, 267, 3047, 8904, 2361, 267, 543, 3047, 10047, 267, 621, 849, 2488, 3102, 7422, 540, 2242, 538, 519, 2423, 2195, 3337, 267, 8904, 2361, 543, 10047, 563, 763, 4139, 5948, 540, 2983, 3941, 344, 15748, 519, 6820, 2983, 617, 2045, 9866, 6326, 3590, 630, 31769, 5308, 1040, 717, 294, 5308, 568, 16922, 676, 267, 1851, 1866, 267, 1896, 2520, 617, 2045, 2533, 563, 268, 11682, 22076, 13965, 590, 5746, 27301, 2464, 454, 268, 661, 2752, 8025, 590, 5746, 27301, 2464, 454, 268, 700, 9281, 292, 590, 5746, 27301, 2464, 454, 268, 14298, 18426, 590, 5746, 27301, 2464, 454, 29771, 547, 519, 20394, 454, 26835, 538, 5905, 609, 519, 3621, 1158, 2336, 15447, 3163, 1656, 21763, 1677, 3503, 888, 268, 2334, 2037, 768, 748, 670, 1961, 769, 634, 17807, 631, 697, 3502, 2142, 1325, 821, 454, 268, 11621, 10261, 539, 1280, 5403, 268, 3519, 341, 2109, 5623, 2986, 5983, 14750, 15845, 454, 268, 18323, 19475, 5530, 31698, 8693, 17738, 25613, 1573, 1493, 13804, 3363, 2986, 7849, 8693, 654, 24513, 956, 454, 268, 26264, 8867, 6545, 2506, 5661, 8058, 3220, 269, 23520, 623, 7491, 6355, 3689, 454, 268, 14640, 13305, 3147, 710, 27801, 338, 681, 3166, 15907, 634, 2622, 2755, 3163, 12984, 32027, 2201, 4706, 1744, 3996, 454, 268, 4024, 589, 3122, 1355, 476, 1001, 273, 570, 290, 275, 12231, 3047, 538, 5239, 476, 1001, 278, 888, 268, 634, 16527, 2986, 634, 2311, 558, 454, 268, 834, 10498, 267, 5225, 1397, 803, 2963, 602, 2469, 1310, 23520, 568, 7303, 4896, 689, 5466, 1483, 2042, 907, 4799, 268, 834, 2704, 6495, 6261, 29262, 568, 21480, 476, 272, 538, 519, 7330, 607, 540, 4989, 476, 1001, 275, 2807, 4840, 268, 834, 296, 560, 7079, 590, 345, 777, 644, 328, 540, 519, 4659, 585, 18395, 693, 634, 2160, 540, 16127, 693, 2494, 10394, 814, 1336, 513, 907, 4799, 268, 834, 8967, 15619, 2318, 2090, 540, 606, 16909, 4915, 883, 606, 8317, 585, 2879, 728, 24616, 693, 922, 3755, 262, 907, 4799, 268, 834, 1556, 1296, 286, 594, 1589, 621, 781, 2282, 476, 1240, 1631, 267, 543, 519, 3636, 7178, 5032, 568, 689, 519, 24953, 1025, 984, 1055, 519, 5032, 907, 4799, 268, 13017, 1063, 22515, 543, 4965, 568, 513 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2012, 267, 2327, 922, 8244, 676, 10478, 1533, 12240, 543, 22028, 5638, 269, 2991, 30260, 8244, 267, 11578, 707, 1870, 609, 519, 4143, 1533, 8128, 267, 13844, 1022, 2556, 27121, 610, 14998, 2838, 547, 7500, 16155, 780, 7656, 269, 29922, 513, 1870, 2497, 692, 288, 269, 1924, 548, 1160, 3064, 564, 11208, 692, 2026, 513, 21088, 16724, 5887, 1005, 883, 519, 1158, 540, 11553, 267, 596, 1522, 7620, 1904, 585, 513, 6852, 32388, 11208, 1107, 519, 14724, 543, 1034, 1942, 15807, 1870, 2497, 2139, 269, 1717, 267, 1832, 538, 2247, 602, 896, 713, 11460, 267, 972, 568, 1100, 11984, 1063, 2123, 7221, 543, 1346, 11262, 676, 519, 1870, 269, 9182, 267, 5491, 832, 949, 11654, 707, 2123, 3959, 952, 707, 11553, 6109, 13341, 2883, 7965, 780, 289, 269, 26844, 692, 2252, 596, 6430, 547, 12840, 609, 824, 4648, 538, 22745, 707, 11553, 6109, 267, 8108, 513, 11450, 1223, 581, 606, 10694, 4781, 1813, 547, 922, 8897, 540, 14764, 543, 8766, 6101, 885, 3379, 547, 25465, 269, 16480, 267, 2147, 547, 6852, 32388, 832, 4721, 267, 2489, 4891, 2671, 19957, 15668, 585, 22440, 543, 13800, 30309, 676, 519, 1870, 269, 1677, 11574, 4220, 267, 2015, 9591, 513, 3908, 11450, 1141, 1152, 1978, 2043, 8263, 5539, 585, 20824, 780, 290, 269, 17290, 700, 6636, 7577, 630, 299, 9448, 2020, 21446, 8271, 267, 1785, 1005, 707, 11553, 6109, 607, 513, 17290, 700, 6636, 7577, 630, 299, 9448, 264, 3091, 1896, 5383, 267, 5097, 31364, 5411, 689, 2123, 15668, 585, 1870, 22440, 543, 4031, 7057, 269, 5047, 267, 20941, 338, 1683, 8112, 3823, 21259, 3681, 543, 2154, 7864, 10220, 4170, 982, 14078, 269, 11048, 267, 789, 1419, 2097, 609, 2362, 23492, 3790, 543, 5571, 5826, 12375, 780, 291, 269, 15278, 692, 15563, 267, 6220, 707, 11553, 6109, 2488, 519, 16999, 4027, 1996, 2123, 15668, 2094, 23265, 616, 3622, 711, 3743, 585, 2754, 22440, 3564, 741, 3355, 5092, 269, 3958, 267, 14078, 2709, 8476, 17258, 1851, 7218, 543, 1569, 547, 3854, 6990, 3842, 6006, 1615, 340, 766, 269, 1717, 267, 789, 849, 4125, 1950, 10350, 3889, 267, 22608, 8989, 4170, 267, 543, 5595, 21259, 593, 12434, 7856, 607, 27993, 780, 4353, 269, 25827, 16296, 10466, 692, 11693, 602, 11553, 10909, 7048, 8185, 593, 3860, 3977, 267, 17420, 7214, 3959, 2924, 1058, 581, 14063, 1282, 1870, 5250, 269, 13018, 267, 10677, 4031, 2149, 3312, 1568, 899, 2854, 2326, 267, 27291, 267, 543, 19180, 1543, 3812, 676, 707, 8116, 269, 570, 2784, 655, 10225, 4019, 547, 10058, 1913, 267, 6698, 267, 610, 6272, 1031, 547, 2697, 2472, 610, 2533, 2404, 609, 707, 11553, 6109, 269, 14936, 267, 24977, 3382, 3209, 18563, 610, 3157, 2189, 547, 707, 1870, 4238, 269, 13693, 609, 606, 18607, 21751, 538, 7379, 1876, 547, 2327, 1697, 14261, 543, 11268, 540, 891, 20038, 780, 309, 269, 30633, 532, 5853, 1049, 13751, 26671, 692, 288, 269, 21952, 15716, 630, 1721, 20941, 338, 264, 610, 1635, 331, 9155, 630, 1721, 11283, 725, 2020, 4322, 4835, 12044, 6054, 7291, 9562, 2497, 267, 2359, 5107, 267, 13359, 5773, 267, 7443, 3892, 2409, 267, 27072, 10873, 267, 543, 824, 2565, 10512, 3344, 3358, 4481, 547, 707, 11553, 6109, 269, 2755, 930, 2829, 798, 711, 23626, 6101, 5665, 11650, 585, 20941, 338, 267, 2348, 835, 2337, 2061, 13882, 1851, 2818, 543, 5587, 5809, 6788, 689, 1554, 835, 780, 289, 269, 9523, 14516, 13531, 906, 692, 2690, 14078, 267, 26004, 513, 2671, 14516, 6876, 5849, 12972, 1851, 9698, 25963, 7282, 3375, 6194, 6392, 267, 4483, 9993, 267, 4444, 719, 14074, 267, 543, 14827, 2994, 269, 26787, 2312, 4808, 2038, 593, 11942, 6617, 1369, 707, 3919, 543, 24024, 1761, 7526, 1524, 519, 4155, 780, 9654, 269, 25477, 20260, 338, 543, 18763, 20260, 528, 13531, 906, 692, 2691, 17849, 5520, 610, 2502, 4830, 25255, 693, 707, 11553, 6109, 267, 14892, 2854, 11731, 28408, 13180, 2474, 267, 22637, 21291, 267, 26694, 2175, 267, 15539, 6571, 6127, 267, 543, 9562, 2924, 17640, 547, 960, 1587, 2813, 1282, 519, 6278, 269, 6270, 13390, 1081, 776, 3800, 2569, 13509, 4478, 7694, 3347, 543, 3970, 4598, 547, 3656, 6811, 16109, 689, 21390, 610, 23563, 540, 4579, 780, 23997, 269, 19484, 27943, 28597, 692, 7661, 267, 24559, 3054, 609, 5313, 267, 1533, 267, 543, 2199, 6042, 10858, 547, 707, 11553, 6109, 267, 3226, 1346, 5473, 7834, 4145, 267, 10229, 2853, 267, 543, 1239, 3354, 4441, 269, 1520, 11447, 547, 891, 3652, 711, 1152, 28933, 707, 6109, 781, 8699, 855, 849, 19011, 1206, 1761, 22717, 267, 24476, 267, 610, 25036, 31827, 689, 1875, 1260, 20869, 269, 18918, 19579, 3656, 8480, 4810, 538, 7829, 9431, 6927, 547, 3391, 596, 998, 713, 6946, 5251, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 14276, 9534, 674, 3305, 454, 14276, 9534, 674, 3305, 454, 17239, 303, 1299, 6789, 12569, 5746, 2969, 2464, 29642, 25265, 7419, 2975, 25972, 454, 4037, 278, 715, 269, 6301, 9335, 454, 300, 6716, 24696, 476, 4366, 272, 6860, 454, 19688, 476, 272, 267, 476, 2735, 278, 454, 1607, 1870, 1544, 568, 585, 513, 1857, 1894, 6109, 5356, 1312, 2757, 543, 1875, 13652, 6463, 1857, 1894, 2533, 269, 898, 2934, 3810, 2919, 3853, 267, 2994, 585, 13033, 267, 513, 2143, 4901, 540, 519, 6735, 538, 519, 1858, 267, 543, 8292, 689, 4966, 538, 519, 2361, 563, 268, 10324, 5758, 454, 268, 8292, 593, 519, 2344, 454, 268, 519, 4316, 454, 268, 519, 2344, 454, 268, 4214, 540, 519, 1870, 454, 268, 6859, 267, 3853, 543, 2994, 454, 268, 8292, 593, 519, 1870, 454, 268, 2359, 543, 4604, 540, 31548, 454, 268, 8292, 593, 6735, 454, 268, 1544, 585, 1646, 454, 268, 1761, 12755, 540, 519, 1870, 454, 268, 3606, 2200, 454, 268, 2883, 1344, 454, 17239, 303, 543, 4889, 919, 5713, 519, 2115, 540, 3549, 585, 2298, 1870, 10618, 269, 898, 814, 519, 2702, 547, 948, 7218, 25666, 543, 679, 9629, 622, 741, 1344, 547, 1271, 9458, 538, 513, 6417, 543, 3318, 6073, 269, 4706, 21246, 1023, 616, 9299, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 19968, 19725, 257, 607, 851, 540, 834, 30311, 1315, 4937, 6657, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4922, 1031, 538, 519, 2282, 2104, 267, 3573, 1382, 568, 2877, 547, 2744, 606, 538, 3829, 1620, 540, 543, 1020, 1374, 543, 4070, 2409, 585, 674, 14641, 4149, 17092, 3889, 269, 2290, 1883, 3390, 547, 581, 9619, 568, 519, 1279, 3856, 2773, 540, 674, 14641, 4149, 17092, 3889, 538, 7286, 5054, 269, 2755, 1713, 2963, 814, 19017, 602, 519, 3638, 17296, 1543, 538, 26869, 270, 22855, 1606, 663, 814, 2370, 1198, 593, 519, 2773, 540, 674, 14641, 29322, 267, 789, 666, 7985, 21324, 1813, 547, 824, 2188, 971, 607, 519, 3824, 816, 540, 7509, 269, 901, 22544, 729, 22555, 547, 1683, 519, 1101, 3486, 8468, 585, 538, 3829, 15377, 593, 674, 14641, 4149, 17092, 3889, 543, 5702, 1644, 3584, 630, 324, 3052, 1421, 7180, 540, 9399, 290, 282, 2361, 4598, 4255, 540, 674, 14641, 13063, 538, 7286, 5054, 264, 547, 3035, 519, 1739, 1808, 6859, 281, 630, 272, 264, 25826, 538, 1469, 519, 5383, 543, 2591, 4547, 827, 676, 674, 14641, 4149, 17092, 3889, 282, 630, 273, 264, 3629, 513, 5619, 540, 1382, 3785, 1373, 17298, 610, 9709, 1472, 519, 1158, 593, 674, 14641, 4149, 17092, 3889, 543, 5702, 1644, 3584, 282, 630, 274, 264, 10576, 1883, 2152, 547, 581, 8214, 1194, 1354, 674, 14641, 4149, 17092, 3889, 666, 581, 4922, 7608, 538, 2259, 282, 543, 630, 275, 264, 10812, 3255, 585, 3486, 5698, 547, 17108, 1382, 3356, 538, 519, 1858, 269, 634, 1982, 540, 519, 22544, 3769, 476, 1428, 14376, 14245, 593, 674, 14641, 4149, 17092, 3889, 610, 1644, 3584, 269, 3962, 1957, 729, 4553, 676, 3573, 5717, 547, 3035, 519, 6859, 540, 519, 22544, 269, 634, 22544, 729, 13984, 676, 936, 476, 3583, 5171, 630, 10175, 519, 14376, 10529, 1040, 3509, 1004, 723, 8329, 547, 519, 3919, 540, 519, 22544, 269, 1284, 1131, 899, 547, 9684, 782, 14376, 10529, 585, 4687, 741, 960, 543, 5813, 693, 519, 22544, 543, 782, 5171, 585, 741, 1719, 543, 1489, 585, 519, 22544, 543, 741, 7589, 538, 519, 5717, 269, 1284, 616, 849, 18507, 547, 519, 1079, 1071, 17898, 976, 832, 630, 10345, 3722, 2177, 267, 513, 1788, 14102, 676, 5606, 9545, 566, 267, 543, 674, 2320, 2889, 4139, 17290, 264, 585, 741, 1489, 547, 519, 22544, 543, 547, 4515, 269, 25414, 715, 28839, 585, 1010, 948, 543, 15131, 585, 519, 22544, 269, 3683, 519, 2250, 1906, 1296, 267, 649, 723, 28322, 7494, 689, 15377, 609, 1082, 3173, 593, 519, 1888, 267, 3226, 998, 519, 7041, 540, 513, 1382, 11556, 585, 19169, 547, 519, 27484, 2861, 3194, 30868, 540, 519, 15173, 15158, 3194, 6182, 1218, 7027, 269, 1284, 616, 18507, 547, 782, 540, 873, 585, 4687, 741, 7326, 543, 5813, 609, 721, 269, 3776, 2027, 7064, 979, 547, 3220, 269, 2871, 836, 5336, 532, 8863, 2894, 543, 15516, 3967, 22244, 2894, 267, 945, 3177, 519, 1454, 2877, 5728, 25106, 1489, 267, 8720, 2930, 267, 17825, 543, 782, 824, 2556, 3344, 563, 347, 21812, 1475, 763, 15173, 15158, 12443, 23855, 545, 2160, 2008, 31871, 540, 3817, 1475, 4391, 2008, 347, 26397, 4567, 1475, 13775, 910, 476, 1001, 277, 2008, 347, 30631, 1475, 2562, 9898, 2793, 3582, 3201, 20796, 16775, 295, 8008, 10396, 10323, 288, 310, 2969, 2207, 10323, 288, 4149, 13263, 12164, 290, 3918, 15288, 630, 7704, 290, 264, 31031, 308, 6311, 7838, 2464, 11555, 2562, 19489, 290, 3633, 23166, 674, 14641, 19766, 5308, 3951, 2464, 910, 15173, 15158, 267, 3624, 2008, 291, 4851, 281, 476, 1724, 5463, 476, 1001, 277, 9890, 476, 1724, 5463, 476, 1001, 277, 0, 305, 719, 710, 10552, 18873, 538, 26579, 454, 15542, 16847, 267, 476, 1001, 274, 454, 2026, 851, 540, 27514, 1416, 267, 6296, 1973, 4255, 616, 5227, 585, 782, 2021, 269, 1403, 891, 4255, 2697, 606, 3968, 610, 1776, 2783, 267, 2126, 666, 2569, 519, 1981, 540, 2800, 547, 519, 9176, 4807, 543, 1200, 4816, 269, 901, 1249, 6656, 2488, 1344, 593, 6296, 1973, 4255, 5342, 269, 634, 6656, 2501, 538, 21181, 540, 476, 2004, 563, 295, 4353, 267, 26579, 267, 543, 30926, 2422, 454, 15542, 16847, 267, 476, 1001, 280, 454, 1607, 1249, 6656, 6941, 602, 585, 2021, 2713, 609, 7486, 267, 7296, 10269, 1282, 6379, 666, 2333, 519, 8458, 602, 7486, 786, 581, 5293, 547, 519, 4816, 269, 15750, 2572, 616, 7396, 547, 948, 9176, 2021, 543, 1346, 4058, 513, 6379, 547, 16718, 610, 2569, 741, 10269, 946, 2529, 298, 308, 281, 476, 278, 268, 276, 1428, 454, 295, 4353, 281, 13245, 21250, 17473, 543, 13245, 9040, 625, 454, 1607, 27412, 568, 2966, 585, 2021, 2713, 609, 7486, 945, 616, 4058, 513, 6379, 610, 616, 2907, 9176, 269, 11762, 1331, 2596, 7486, 543, 7486, 2126, 1344, 267, 875, 547, 3251, 2635, 1354, 543, 1282, 6379, 267, 2189, 2152, 602, 949, 3068, 2021, 2713, 609, 7486, 267, 543, 1141, 547, 979, 585, 811, 1344, 543, 1489, 269, 634, 27412, 568, 606, 9337, 547, 519, 3105, 7486, 543, 6379, 5829, 30732, 7410, 3177, 676, 519, 32527, 520, 3832, 9774, 10644, 4659, 2529, 298, 308, 281, 476, 278, 268, 22650, 0, 293, 29183, 29661, 1222, 538, 14451, 4065, 1107, 513, 9167, 5133, 3244, 821, 645, 3201, 291, 19798, 2752, 6020, 5149, 661, 269, 272, 29661, 1222, 563, 13775, 676, 9556, 1881, 936, 476, 276, 1296, 3516, 454, 303, 19948, 593, 6249, 281, 834, 293, 29183, 29661, 1222, 538, 14451, 4065, 1107, 513, 9167, 5133, 3244, 821, 645, 3201, 291, 19798, 2752, 6020, 5149, 661, 269, 272, 29661, 1222, 1701, 1765, 19809, 13973, 912, 293, 29183, 29661, 1222, 538, 14451, 4065, 1107, 513, 9167, 5133, 3244, 821, 645, 3201, 291, 19798, 2752, 6020, 5149, 661, 269, 272, 29661, 1222, 454, 14240, 540, 29661, 1222, 29661, 1222, 4016, 547, 606, 1367, 779, 2702, 547, 2490, 2093, 883, 2962, 269, 898, 2882, 5876, 267, 5647, 543, 1981, 2921, 267, 607, 1134, 607, 519, 2702, 547, 1544, 543, 4383, 3785, 538, 1931, 547, 3035, 6859, 269, 901, 7028, 3025, 538, 1554, 3562, 6377, 1272, 693, 1753, 543, 538, 2486, 267, 2306, 5520, 811, 3222, 540, 519, 2796, 540, 741, 960, 543, 1732, 2111, 547, 28958, 3255, 267, 543, 2488, 513, 5748, 585, 11639, 9591, 513, 1514, 610, 5010, 2534, 630, 1220, 277, 24805, 566, 593, 6206, 14847, 1878, 585, 17151, 13717, 4804, 994, 29619, 29661, 1222, 568, 711, 18481, 7471, 538, 519, 6437, 540, 16777, 3674, 634, 5354, 540, 20835, 6030, 616, 6035, 538, 1870, 543, 2804, 2090, 932, 1734, 540, 1373, 6534, 547, 661, 292, 616, 2362, 950, 519, 2875, 568, 19801, 538, 513, 1870, 1153, 610, 513, 23499, 9872, 609, 513, 1870, 1153, 269, 2859, 982, 3368, 540, 519, 2875, 2551, 538, 2342, 798, 711, 723, 1569, 547, 29661, 1222, 4065, 454, 5415, 1239, 689, 519, 476, 1220, 279, 3864, 11752, 8307, 476, 272, 270, 275, 540, 7463, 543, 476, 272, 270, 274, 540, 23499, 5238, 1510, 513, 1870, 1153, 2709, 20835, 29661, 1222, 1034, 4122, 6035, 547, 15938, 610, 10927, 1053, 267, 7864, 6030, 585, 12854, 1053, 29661, 1222, 2069, 568, 1869, 1799, 1155, 281, 1419, 1268, 9141, 543, 4470, 2390, 519, 3646, 540, 2043, 769, 1152, 476, 736, 260, 540, 16777, 3674, 519, 3450, 5234, 1590, 10929, 2866, 538, 1931, 547, 4001, 20835, 269, 10815, 982, 476, 272, 270, 274, 540, 5234, 3450, 20835, 1185, 4052, 1995, 609, 20835, 3544, 24243, 563, 22826, 2645, 1703, 568, 513, 7934, 1063, 2409, 4294, 543, 1346, 602, 616, 2938, 607, 519, 1034, 2500, 15232, 2861, 2409, 616, 2629, 281, 2757, 15338, 690, 625, 630, 937, 999, 264, 616, 711, 519, 1034, 2500, 4107, 2500, 2409, 8612, 281, 1895, 2553, 585, 1007, 1870, 2093, 267, 2013, 2090, 267, 1870, 4058, 11925, 12708, 3693, 281, 15385, 6302, 1063, 10459, 267, 543, 3818, 16162, 9918, 5698, 454, 3682, 21793, 270, 11917, 560, 8163, 10374, 720, 540, 7616, 18320, 1906, 20485, 540, 20835, 9741, 24539, 543, 8007, 585, 3610, 11120, 738, 625, 543, 13623, 4043, 547, 960, 14384, 22994, 1006, 1063, 16777, 3674, 543, 1870, 568, 1970, 16777, 3674, 616, 711, 18481, 3238, 609, 741, 620, 30282, 454, 288, 2388, 585, 16777, 3674, 5590, 909, 513, 4640, 610, 2962, 1544, 8073, 606, 29426, 13398, 20644, 4367, 547, 20835, 547, 782, 267, 543, 3255, 547, 1246, 811, 1808, 6030, 5590, 909, 15314, 547, 18663, 543, 8007, 5234, 11559, 519, 21245, 11036, 540, 1053, 13815, 17099, 585, 2238, 543, 4052, 960 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3034, 22826, 5137, 1143, 267, 799, 568, 9003, 1759, 593, 3909, 4978, 602, 3668, 1022, 3621, 2963, 267, 538, 1857, 3506, 568, 9090, 606, 3801, 547, 3715, 513, 4984, 676, 519, 2229, 269, 7040, 2665, 267, 971, 607, 918, 6308, 332, 14525, 642, 269, 667, 1478, 9351, 3427, 10588, 543, 29885, 642, 269, 3397, 340, 650, 731, 616, 2565, 5480, 3664, 799, 723, 15653, 3450, 540, 5137, 1143, 1317, 621, 568, 513, 3909, 3661, 563, 11039, 267, 835, 851, 540, 17039, 17358, 519, 11156, 543, 2257, 269, 4340, 547, 519, 2817, 4741, 585, 3163, 4065, 267, 634, 20252, 3474, 880, 3427, 8274, 267, 799, 8060, 519, 6437, 543, 3450, 4507, 585, 3506, 538, 1715, 20252, 267, 20366, 547, 7333, 519, 3450, 540, 5137, 1143, 607, 2257, 269, 634, 1007, 3609, 4481, 536, 753, 3610, 689, 1519, 968, 1415, 2460, 540, 3909, 5132, 892, 538, 2257, 6030, 543, 689, 1210, 1686, 9499, 14661, 547, 1331, 8567, 630, 514, 4704, 547, 7147, 1837, 4808, 799, 946, 3140, 14469, 1143, 1916, 763, 4890, 2262, 532, 540, 519, 519, 1007, 3609, 568, 1018, 782, 1153, 12545, 1058, 1489, 912, 5591, 1686, 1837, 4927, 581, 9516, 799, 814, 1044, 14661, 538, 13076, 609, 519, 3557, 540, 7147, 14469, 626, 4808, 6862, 4927, 1022, 2257, 1837, 581, 9516, 799, 6799, 5137, 1143, 610, 10995, 1374, 607, 2257, 610, 3621, 6436, 563, 8133, 269, 8786, 269, 1656, 9811, 269, 11822, 543, 547, 519, 1448, 267, 543, 5693, 17548, 1018, 1058, 581, 6026, 547, 1453, 269, 1403, 789, 1616, 547, 1451, 827, 930, 7301, 1686, 1759, 593, 10764, 267, 610, 4550, 1606, 7220, 4978, 267, 1451, 621, 693, 1753, 269, 634, 1857, 1153, 1058, 711, 5512, 621, 563, 3719, 972, 779, 811, 912, 5591, 4116, 540, 1022, 9015, 540, 2257, 4927, 4001, 1022, 2460, 540, 3909, 5132, 607, 2257, 610, 538, 513, 2257, 1362, 269, 3143, 4116, 540, 1022, 9015, 540, 2257, 4927, 4001, 5137, 1143, 610, 10995, 1374, 538, 5049, 11280, 607, 2257, 5049, 563, 763, 856, 4707, 5518, 540, 519, 20252, 3427, 8274, 267, 7338, 7605, 747, 14513, 267, 7150, 602, 968, 15290, 713, 729, 2944, 538, 7147, 267, 782, 713, 2911, 729, 1018, 7372, 3310, 1131, 798, 538, 824, 2829, 269, 1284, 1616, 547, 1118, 2386, 3214, 616, 6026, 1686, 602, 814, 1044, 5265, 17022, 1540, 676, 19174, 543, 5423, 585, 741, 4616, 16634, 594, 723, 1100, 1966, 3450, 1496, 516, 5554, 542, 316, 538, 513, 4984, 610, 6138, 1362, 267, 855, 519, 2257, 1362, 568, 711, 519, 3617, 1747, 585, 621, 3034, 6124, 20252, 568, 1175, 835, 851, 630, 320, 2462, 851, 264, 540, 17039, 267, 865, 621, 779, 513, 1434, 1900, 538, 519, 1318, 4287, 269, 1656, 519, 1053, 538, 602, 8664, 786, 4324, 689, 713, 3609, 267, 1317, 789, 666, 581, 3173, 267, 3744, 267, 7189, 267, 610, 1175, 13473, 609, 1697, 2565, 3206, 1983, 563, 12552, 1715, 20252, 563, 4415, 2463, 547, 4720, 27102, 15424, 2238, 267, 476, 1001, 273, 729, 513, 9425, 1434, 1032, 585, 2257, 269, 2986, 1576, 267, 17906, 5293, 519, 4550, 1606, 7220, 3933, 4486, 9291, 267, 799, 5000, 3610, 547, 1459, 519, 968, 27023, 881, 9342, 543, 3621, 12755, 892, 540, 2518, 8337, 543, 4720, 269, 2986, 1576, 267, 972, 568, 1100, 968, 27023, 881, 8467, 2223, 1175, 2797, 9840, 602, 723, 1100, 3621, 10083, 269, 1809, 2829, 899, 18518, 630, 10843, 513, 695, 4319, 323, 23603, 540, 513, 14891, 9777, 1807, 1070, 20274, 267, 17665, 267, 1715, 24900, 543, 16713, 8959, 547, 1780, 6069, 1884, 773, 23728, 9086, 267, 6140, 998, 25931, 2152, 267, 855, 849, 538, 606, 909, 543, 1524, 8917, 538, 1715, 24900, 563, 4415, 519, 3932, 540, 519, 2487, 30814, 9550, 267, 9241, 4646, 1533, 9777, 2137, 616, 4058, 741, 476, 1001, 274, 15424, 3292, 269, 1924, 602, 1797, 1318, 13617, 267, 4550, 1606, 7220, 9777, 2209, 538, 811, 15061, 2829, 616, 2469, 547, 2899, 1586, 7903, 4720, 1673, 523, 3539, 9086, 563, 1103, 23497, 267, 1533, 11724, 894, 22110, 2023, 674, 29234, 630, 11847, 3016, 534, 264, 568, 2469, 547, 6338, 513, 3915, 602, 786, 2154, 519, 3450, 540, 968, 842, 3485, 550, 1374, 2108, 267, 513, 1106, 540, 5137, 1143, 269, 901, 10421, 1131, 581, 538, 4655, 609, 519, 476, 1220, 276, 918, 6308, 332, 14525, 642, 269, 667, 1478, 9351, 3427, 10588, 267, 1141, 27674, 14554, 6707, 11130, 602, 10995, 1374, 568, 513, 1106, 540, 5137, 1143, 267, 543, 602, 519, 667, 1478, 1153, 4604, 3609, 26991, 519, 19372, 618, 1849, 1021, 540, 519, 3689, 14821, 547, 519, 2136, 2276, 9139, 269, 634, 9561, 27779, 1996, 519, 667, 1478, 1153, 8664, 1942, 873, 936, 1269, 272, 2929, 267, 2724, 799, 1223, 723, 1044, 1031, 585, 5301, 971, 607, 3450, 1453, 1483, 2257, 269, 594, 666, 1152, 28756, 675, 2436, 519, 3915, 786, 1331, 7616, 585, 1153, 13102, 602, 2936, 713, 1761, 10421, 547, 9718, 1996, 519, 17149, 13338, 4031, 7057, 563, 20118, 267, 538, 18518, 267, 1533, 6845, 1807, 667, 12447, 918, 745, 572, 630, 11847, 3016, 534, 264, 814, 5143, 513, 11356, 602, 646, 4566, 547, 6338, 513, 3915, 9247, 2854, 676, 519, 20570, 4659, 630, 320, 1875, 17416, 3909, 968, 20459, 7382, 892, 4583, 585, 922, 8942, 693, 3478, 10995, 1374, 6026, 538, 1977, 3506, 1040, 3571, 3915, 786, 581, 2147, 547, 519, 27069, 3933, 4486, 9291, 538, 17906, 543, 1776, 835, 602, 729, 5293, 538, 17039, 538, 476, 1220, 279, 267, 519, 3765, 548, 611, 5944, 3957, 17039, 3163, 4065, 2920, 563, 296, 666, 1152, 4126, 602, 607, 5949, 2063, 1032, 267, 2901, 519, 1533, 9777, 2137, 6430, 602, 519, 2070, 540, 519, 1977, 1528, 28672, 814, 6410, 593, 689, 713, 4550, 1606, 7220, 21169, 267, 610, 789, 1175, 6430, 972, 616, 811, 1271, 2152, 593, 519, 546, 12714, 563, 763, 1533, 540, 4639, 9098, 630, 310, 309, 264, 814, 835, 540, 519, 27162, 4554, 1126, 12674, 6042, 538, 519, 2136, 2276, 267, 711, 3850, 1022, 3909, 23614, 687, 547, 25750, 2838, 1354, 11504, 1153, 269, 8307, 14967, 814, 6042, 713, 7453, 585, 1450, 762, 23614, 687, 269, 2986, 1576, 267, 607, 594, 723, 2854, 267, 3909, 23614, 687, 723, 1044, 26884, 676, 6669, 3954, 4536, 676, 2870, 968, 325, 820, 892, 10764, 865, 602, 3237, 685, 17617, 3147, 1588, 4978, 786, 581, 6444, 676, 519, 1533, 269, 769, 1249, 267, 1152, 2564, 23614, 687, 616, 7608, 676, 519, 1533, 630, 23486, 1070, 543, 741, 4441, 593, 945, 666, 2743, 519, 2564, 608, 18277, 616, 3833, 9157, 269, 0, 11405, 547, 581, 9447, 538, 476, 3607, 3108, 12898, 19027, 454, 1432, 568, 11108, 3747, 7455, 888, 1432, 568, 519, 3017, 1063, 10137, 543, 2333, 538, 519, 3747, 7455, 543, 19432, 543, 6175, 538, 519, 3747, 7455, 11631, 888, 12047, 663, 539, 269, 4208, 286, 536, 269, 1548, 568, 519, 8589, 2121, 10626, 630, 4621, 10179, 21045, 264, 950, 519, 2344, 3902, 568, 1269, 476, 275, 269, 876, 829, 7273, 269, 1946, 286, 524, 269, 13159, 519, 3349, 540, 519, 3747, 8430, 543, 3113, 519, 3747, 2483, 272, 269, 589, 30049, 626, 8188, 519, 3747, 7455, 1627, 815, 476, 2568, 6261, 270, 273, 269, 634, 1942, 1599, 568, 595, 284, 304, 273, 269, 4855, 519, 3977, 602, 12366, 2478, 713, 30049, 626, 779, 12434, 269, 1548, 616, 519, 5777, 693, 12434, 543, 602, 3977, 286, 4855, 454, 1432, 568, 519, 1655, 1259, 547, 2491, 519, 2474, 11108, 3747, 538, 519, 1106, 540, 922, 2495, 543, 6516, 563, 6343, 568, 10137, 540, 3747, 543, 2333, 538, 3747, 454, 12047, 663, 7455, 585, 688, 1844, 7491, 693, 570, 11446, 22458, 5071, 568, 623, 815, 476, 2412, 1107, 476, 271, 269, 2412, 304, 1141, 1627, 568, 519, 454, 15893, 540, 11912, 829, 3018, 543, 623, 568, 519, 3902, 540, 688, 1844, 583, 269, 2311, 513, 3902, 540, 1269, 1428, 2676, 29019, 570, 11446, 6318, 519, 3902, 454, 763, 3747, 7455, 585, 476, 4366, 892, 590, 3415, 6366, 5496, 751, 4582, 2888, 568, 2693, 547, 1847, 547, 519, 1318, 950, 7082, 26038, 2333, 563, 763, 3747, 7455, 585, 476, 4366, 892, 590, 3415, 6366, 5496, 751, 4582, 2888, 568, 2693, 454, 18528, 518, 1338, 1063, 513, 3339, 543, 11108, 3747, 7455, 269, 11512, 609, 12222, 454, 23251, 3907, 880, 1063, 513, 1689, 538, 3747, 543, 5279, 538, 7274, 18796, 454, 292, 21643, 910, 24637, 2483, 718, 13050, 2112, 267, 543, 519, 2483, 19968, 13188, 14581, 6435, 6355, 13188, 1797, 968, 31754, 538, 9746, 1604, 6100, 901, 1826, 540, 9297, 28352, 2483, 2562, 9898, 2793, 3582, 3201, 18598, 634, 1775, 562, 1181, 1049, 4123, 568, 5385, 540, 519, 3854, 267, 519, 5370, 267, 543, 519, 2533, 269, 1452, 3854, 267, 5370, 543, 2533, 616, 2483, 21547, 19172, 21643, 5839, 19172, 21643, 568, 5059, 593, 519, 3350, 543, 3466, 538, 519, 4346, 607, 513, 2898, 267, 1247, 538, 2890, 31754, 519, 1445, 568, 5116, 593, 2188, 2483, 10048, 4526, 658, 13188, 6435, 4340, 547, 3798, 7773, 32617, 7615, 267, 15440, 658, 9297, 568, 834, 935, 1356, 2740, 609, 3498, 540, 2804, 2035, 543, 2804, 2079, 2483, 19859, 31754, 5843, 31754, 281, 519, 14694, 2495, 540, 5259, 2262, 2048, 332, 2222, 685, 568, 1507, 610, 8792, 543, 18772, 532, 621, 609, 9297, 1797, 8792, 268, 2483, 292, 21643, 1107, 4033, 11762, 13188, 568, 513, 1514, 2257, 7255, 609, 519, 2079, 540, 519, 2504, 267, 3892, 267, 543, 4616, 540, 5370, 543, 1862, 0, 3725, 1177, 23818, 6987, 3307, 15661, 454, 257, 30706, 2094, 519, 476, 1960, 274, 3625, 321, 13831, 30083, 26226, 5244, 267, 519, 7872, 540, 8744, 17255, 2249, 1394, 547, 1272, 814, 1044, 851, 540, 938, 7104, 9345, 269, 634, 4670, 267, 1759, 593, 513, 7812, 595, 5341, 2023, 3209, 267, 729, 3294, 6273, 676, 4890, 3621, 23484, 538, 519, 2038, 476, 1960, 271, 338, 602, 4847, 3744, 547, 946, 5027, 689, 9754, 15013, 543, 15455, 547, 30712, 519, 11646, 2443, 610, 4719, 29685, 2443, 540, 4666, 2831, 269, 1879, 519, 4670, 3181, 3176, 519, 2257, 7012, 1406, 4359, 2614, 547, 3142, 1394, 17255, 2249, 269, 1809, 2221, 621, 1522, 1134, 581, 267, 543, 3173, 685, 3395, 3646, 547, 30712, 17255, 2249, 2443, 538, 22475, 689, 4993, 547, 5245, 2443, 723, 1044, 1818, 24657, 563, 2005, 3884, 1406, 2009, 547, 3142, 17878, 1394, 547, 1272, 267, 3744, 2161, 267, 1317, 5027, 568, 1932, 28811, 1310, 6634, 540, 1296, 269, 1809, 960, 568, 1631, 25093, 547, 3142, 1394, 811, 5063, 17255, 2249, 267, 1519, 1382, 693, 519, 2160, 540, 4993, 4149, 9017, 30434, 6322, 693, 19620, 18213, 25190, 976, 267, 543, 12370, 3744, 685, 8942, 547, 3142, 1394, 519, 15144, 569, 7882, 1054, 267, 799, 19532, 12239, 7710, 538, 713, 3368, 16923, 17245, 267, 1234, 1177, 23818, 6987, 3307, 15661, 4799, 19400, 519, 2027, 543, 1451, 811, 827, 519, 1686, 543, 2055, 4478, 713, 1950, 1382, 693, 1341, 12702, 12239, 3163, 0, 20124, 609, 476, 272, 4063, 454, 293, 2775, 31924, 18238, 26304, 24522, 267, 667, 12569, 267, 667, 15598, 267, 5822, 2622, 2782, 3703, 9576, 5794, 10414, 25142, 12681, 538, 519, 15483, 335, 527, 540, 1010, 1975, 527, 13933, 269, 634, 476, 2918, 2220, 770, 11986, 900, 21793, 20301, 1010, 19666, 24984, 563, 7628, 519, 11135, 540, 6628, 476, 6642, 17241, 293, 20466, 21804, 6913, 519, 11984, 540, 968, 864, 892, 630, 325, 633, 9672, 24984, 1040, 24522, 729, 519, 17241, 293, 779, 1034, 3811, 267, 15246, 1524, 476, 2641, 4436, 8484, 267, 1034, 540, 799, 941, 11619, 619, 577, 18283, 25881, 267, 1282, 519, 4832, 540, 476, 3707, 271, 563, 29820, 538, 2701, 9749, 12064, 267, 24522, 1185, 8678, 519, 17241, 293, 538, 476, 4350, 280, 543, 729, 11540, 547, 1100, 269, 6078, 27805, 1258, 17241, 293, 595, 2660, 1157, 267, 3345, 962, 3311, 267, 1354, 28099, 7877, 547, 17241, 293, 24125, 577, 3420, 267, 10507, 16303, 563, 4002, 476, 1704, 5437, 476, 3707, 271, 1010, 8293, 611, 1258, 16091, 513, 5250, 540, 476, 3583, 645, 325, 476, 11820, 338, 602, 941, 1283, 3382, 585, 513, 17177, 828, 986, 573, 593, 5507, 269, 2991, 15246, 1524, 835, 645, 325, 476, 11820, 267, 543, 4259, 1776, 593, 3595, 267, 24522, 779, 1975, 527, 13933, 729, 5734, 676, 513, 2019, 2917, 540, 666, 12061, 16115, 267, 799, 16094, 13676, 1010, 1318, 6186, 543, 1312, 7953, 269, 634, 21448, 849, 5679, 18088, 519, 555, 8527, 1479, 18385, 1930, 676, 1812, 532, 519, 1852, 11573, 267, 7175, 519, 1975, 527, 13933, 547, 17108 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4584, 513, 1505, 543, 6529, 547, 621, 269, 594, 849, 11291, 7487, 606, 2376, 827, 875, 519, 5540, 540, 22726, 689, 1880, 6801, 666, 2014, 11254, 7408, 547, 1106, 538, 835, 19942, 1145, 936, 1776, 269, 1703, 786, 581, 606, 7778, 267, 649, 1175, 10093, 1405, 1336, 621, 2943, 563, 296, 1589, 267, 1498, 267, 602, 713, 568, 2943, 1776, 29172, 2376, 689, 4432, 3204, 602, 3217, 513, 10257, 8367, 543, 695, 1080, 782, 936, 621, 609, 2283, 1049, 2817, 2037, 638, 790, 337, 899, 5409, 321, 1961, 269, 634, 812, 1767, 602, 621, 781, 2009, 519, 11254, 7408, 593, 3047, 12090, 11992, 543, 621, 781, 849, 2009, 602, 5027, 689, 938, 4541, 814, 18188, 856, 883, 519, 26355, 269, 1261, 1705, 711, 2303, 538, 519, 13581, 652, 602, 17878, 3710, 2230, 9635, 543, 24363, 2476, 563, 19285, 1810, 1405, 1174, 1946, 834, 527, 5949, 12341, 3116, 543, 1287, 3893, 9447, 1934, 676, 14368, 924, 257, 568, 683, 831, 982, 834, 527, 5949, 1934, 257, 4799, 296, 1589, 646, 729, 6158, 827, 952, 1272, 3029, 941, 1336, 593, 824, 10785, 941, 834, 3847, 19942, 257, 865, 547, 3717, 16220, 899, 3047, 269, 10787, 811, 2693, 602, 891, 2679, 7161, 616, 782, 936, 519, 14925, 982, 519, 2596, 2679, 7161, 3323, 1934, 543, 3262, 782, 936, 519, 14925, 563, 11917, 16227, 922, 1175, 513, 2219, 3635, 693, 713, 1448, 267, 952, 649, 3605, 17973, 593, 9370, 610, 1945, 621, 949, 8774, 513, 3787, 811, 1769, 267, 855, 1318, 1631, 519, 2963, 649, 723, 7028, 2901, 4781, 563, 14187, 2243, 269, 898, 781, 1317, 834, 7562, 3563, 257, 543, 834, 1372, 343, 614, 257, 3277, 4481, 547, 519, 2451, 1688, 543, 1318, 1688, 5011, 540, 606, 1843, 267, 6466, 834, 331, 2801, 17383, 257, 543, 834, 1372, 868, 549, 257, 3277, 547, 519, 6207, 8846, 269, 898, 781, 519, 3017, 1063, 6031, 834, 339, 820, 519, 4155, 547, 707, 2451, 257, 543, 834, 339, 1248, 2451, 2580, 952, 596, 1294, 1018, 594, 1611, 563, 10214, 3425, 723, 818, 4513, 1932, 2462, 1932, 20354, 12740, 909, 543, 17108, 547, 3507, 762, 3432, 269, 594, 798, 711, 1589, 2558, 2335, 903, 19653, 786, 6749, 1524, 538, 513, 3991, 7781, 3926, 4166, 269, 1656, 1287, 1586, 267, 1946, 711, 2743, 873, 286, 5221, 561, 19123, 14797, 616, 2868, 16072, 1014, 796, 16591, 888, 12179, 3118, 267, 594, 3314, 930, 1957, 827, 875, 519, 669, 597, 1275, 2501, 827, 1813, 547, 1496, 1492, 9059, 540, 316, 7523, 12519, 6419, 4610, 2324, 593, 11254, 7408, 12617, 538, 635, 1115, 269, 1924, 972, 563, 4517, 593, 513, 2484, 4541, 267, 649, 1224, 912, 257, 5719, 987, 10060, 513, 701, 30659, 1223, 4341, 14925, 8627, 268, 13298, 982, 12955, 856, 538, 519, 27452, 1396, 21987, 540, 513, 575, 514, 768, 748, 20503, 1764, 267, 3284, 525, 593, 3047, 949, 723, 3079, 3262, 547, 824, 10785, 543, 3710, 513, 32049, 2230, 8410, 638, 1359, 10504, 2807, 4840, 763, 12918, 540, 10451, 513, 14368, 609, 1808, 669, 597, 1275, 616, 10924, 547, 581, 1732, 982, 952, 621, 568, 8345, 538, 17542, 540, 4025, 2066, 519, 2627, 540, 519, 4541, 269, 1403, 519, 14368, 3338, 543, 1346, 11353, 1831, 519, 4493, 540, 519, 5946, 543, 14836, 585, 519, 10785, 267, 621, 568, 10257, 585, 519, 4541, 547, 723, 513, 4630, 18100, 1604, 563, 5472, 602, 1373, 1767, 267, 713, 568, 1259, 856, 593, 519, 23019, 6316, 910, 1259, 1259, 3544, 2257, 543, 1454, 811, 538, 13299, 267, 4849, 519, 1630, 742, 1231, 609, 782, 519, 5022, 1193, 2426, 3297, 741, 4408, 1810, 1405, 899, 547, 16153, 621, 563, 6097, 547, 713, 2376, 513, 14368, 1223, 3560, 1152, 2451, 17973, 952, 267, 899, 609, 519, 20503, 1764, 593, 3618, 267, 621, 3357, 689, 513, 4541, 602, 1185, 2907, 7960, 834, 3847, 1759, 257, 1272, 563, 3719, 607, 513, 4358, 1448, 593, 922, 1378, 267, 621, 1223, 540, 1576, 4163, 2901, 563, 2026, 2427, 4063, 267, 1215, 1279, 1354, 1975, 1408, 6199, 814, 570, 1234, 343, 781, 887, 5446, 2066, 17455, 7702, 585, 30083, 26226, 5244, 476, 275, 286, 769, 476, 274, 291, 540, 1576, 2483, 8002, 1302, 256, 3025, 945, 3081, 834, 309, 1195, 4526, 12558, 2433, 5940, 656, 18882, 476, 1960, 278, 257, 1705, 621, 1101, 707, 14174, 6579, 9745, 318, 349, 454, 2005, 729, 519, 1292, 834, 516, 557, 531, 257, 540, 519, 3803, 12558, 540, 834, 22129, 2433, 26361, 543, 15332, 257, 476, 1960, 276, 268, 1960, 277, 454, 307, 29354, 856, 519, 834, 2419, 12127, 257, 630, 8932, 839, 3983, 28621, 903, 264, 941, 2965, 26731, 689, 2901, 29318, 543, 5924, 667, 3626, 781, 5027, 535, 2038, 3618, 269, 898, 729, 3262, 2066, 519, 14925, 950, 519, 589, 3122, 1355, 602, 7166, 519, 667, 542, 781, 5734, 3618, 2483, 283, 32621, 285, 519, 18265, 268, 2023, 14368, 924, 1764, 602, 7166, 519, 17878, 476, 4792, 2929, 1296, 3516, 949, 723, 1025, 16556, 1055, 1507, 11353, 540, 21300, 5027, 856, 883, 2230, 269, 1656, 3833, 513, 2603, 540, 1346, 11353, 540, 546, 3626, 21307, 11538, 4224, 786, 723, 15354, 593, 21443, 762, 10785, 267, 2161, 519, 1957, 781, 4589, 9572, 32621, 11417, 9989, 713, 1611, 602, 2576, 6926, 2644, 267, 12662, 930, 2281, 538, 513, 20220, 267, 3217, 513, 29746, 610, 8726, 267, 15920, 621, 856, 883, 2230, 543, 3649, 1080, 585, 621, 547, 16154, 5196, 513, 4541, 621, 786, 15514, 534, 2801, 3585, 3142, 8521, 1272, 888, 2414, 3142, 713, 883, 519, 26441, 540, 1373, 1163, 790, 7695, 267, 1018, 952, 649, 6749, 930, 4155, 6146, 593, 23047, 269, 786, 621, 10778, 320, 269, 1694, 972, 543, 581, 4411, 11014, 563, 321, 269, 5614, 8521, 1272, 888, 295, 517, 652, 569, 267, 708, 8049, 269, 621, 4667, 513, 512, 611, 936, 13678, 680, 1881, 563, 287, 293, 842, 534, 281, 834, 9989, 713, 1611, 602, 2576, 6926, 2644, 267, 12662, 930, 2281, 538, 513, 20220, 267, 3217, 513, 29746, 610, 8726, 267, 15920, 621, 856, 883, 2230, 543, 3649, 1080, 585, 621, 547, 16154, 5196, 513, 4541, 621, 786, 15514, 534, 2801, 3585, 3142, 8521, 1272, 24350, 2005, 781, 3592, 513, 22979, 602, 1272, 814, 693, 2547, 10272, 519, 824, 10785, 538, 938, 1378, 3859, 1062, 910, 621, 949, 723, 1256, 15068, 269, 2368, 3029, 540, 6132, 1156, 267, 585, 1383, 267, 666, 7639, 9985, 1134, 538, 2230, 630, 1410, 12723, 547, 519, 12511, 543, 5982, 1040, 31035, 689, 1558, 324, 832, 1025, 8463, 8631, 883, 2230, 267, 621, 781, 2009, 649, 4312, 1256, 10299, 1945, 538, 519, 3937, 649, 4312, 2366, 547, 9370, 3092, 563, 257, 1862, 2368, 3029, 540, 6132, 1156, 267, 585, 1383, 267, 666, 7639, 9985, 1134, 538, 2230, 630, 1410, 12723, 547, 519, 12511, 543, 5982, 1040, 31035, 689, 1558, 324, 832, 1025, 8463, 8631, 883, 2230, 267, 621, 781, 2009, 649, 4312, 1256, 10299, 1945, 538, 519, 3937, 649, 4312, 2366, 547, 9370, 3092, 269, 10371, 4799, 31800, 1695, 855, 1018, 2186, 540, 2706, 5905, 6132, 1156, 1131, 7639, 10024, 1776, 10785, 5790, 593, 519, 1394, 540, 930, 1166, 2459, 532, 2230, 4224, 1862, 15983, 621, 1131, 6633, 909, 593, 556, 268, 18782, 888, 287, 305, 3041, 290, 13013, 281, 834, 6343, 2186, 540, 2706, 5905, 6132, 1156, 1131, 7639, 10024, 1776, 10785, 5790, 593, 519, 1394, 540, 930, 1166, 2459, 532, 2230, 4224, 4840, 2252, 1945, 568, 30275, 539, 689, 519, 2627, 540, 519, 3618, 676, 513, 5458, 1764, 267, 972, 781, 1100, 2601, 547, 15475, 621, 568, 8209, 6378, 547, 513, 4224, 269, 1656, 1317, 972, 568, 1100, 11508, 547, 3500, 606, 1843, 538, 2230, 267, 621, 786, 2951, 11884, 2394, 621, 781, 6537, 883, 519, 14965, 2361, 540, 513, 3677, 1560, 269, 634, 5266, 1970, 5860, 540, 1945, 899, 6132, 1156, 1058, 1450, 621, 547, 632, 5120, 622, 1510, 5337, 1746, 543, 7444, 20847, 547, 519, 2627, 269, 670, 4007, 9424, 540, 7452, 7017, 593, 519, 3618, 538, 713, 6073, 269, 1411, 1522, 849, 973, 565, 937, 602, 513, 4224, 689, 9370, 729, 1336, 593, 3047, 267, 543, 729, 7620, 2219, 547, 2270, 519, 3788, 540, 513, 2713, 11248, 269, 634, 1482, 1184, 1223, 3362, 4755, 538, 9258, 267, 1775, 4318, 269, 689, 3047, 547, 9370, 269, 1809, 621, 1223, 2141, 723, 1743, 26661, 1318, 856, 540, 938, 3859, 1062, 1932, 563, 763, 1483, 8594, 568, 602, 519, 546, 3626, 5937, 2793, 7263, 1746, 11935, 10301, 606, 20948, 4541, 1354, 519, 18714, 13739, 540, 30083, 26226, 5244, 568, 6707, 1232, 10757, 543, 930, 18174, 880, 3744, 3801, 547, 804, 821, 519, 5027, 269, 2986, 1576, 267, 519, 1394, 3562, 1922, 3224, 11254, 7408, 602, 519, 3744, 786, 1100, 8969, 581, 7768, 540, 568, 2693, 547, 2285, 570, 1234, 343, 513, 3983, 2013, 540, 29463, 267, 855, 602, 3513, 1152, 4196, 547, 1118, 1864, 1256, 1835, 1678, 1512, 19601, 1862, 16269, 2097, 1394, 538, 741, 772, 293, 11675, 547, 3484, 721, 563, 8450, 849, 6424, 594, 322, 651, 267, 3092, 563, 8002, 1302, 1022, 2230, 1922, 2130, 2528, 1131, 723, 547, 581, 4853, 2073, 543, 1022, 4853, 2528, 568, 2469, 547, 4734, 15244, 602, 1058, 1869, 581, 7298, 910, 1256, 1310, 476, 4792, 2929, 1296, 563, 3383, 4440, 711, 1287, 563, 3719, 621, 781, 1869, 513, 1434, 1650, 269, 2433, 994, 28791, 789, 946, 9059, 267, 15069, 563, 5475, 476, 4792, 2929, 1296, 1256, 519, 3500, 29684, 10824, 616, 2469, 547, 723, 6410, 513, 7008, 540, 8536, 21240, 267, 543, 519, 2656, 3283, 5595, 602, 269, 2334, 1797, 1034, 540, 519, 2963, 540, 606, 4853, 3540, 5314, 568, 2469, 547, 723, 1044, 1016, 2265, 539, 1394, 896, 519, 12933, 563, 31374, 540, 513, 2973, 909, 543, 1376, 1586, 1062, 910, 513, 2347, 25430, 1169, 476, 1911, 2929, 1296, 610, 865, 563, 257, 5475, 476, 4792, 2929, 1296, 1256, 519, 3500, 29684, 10824, 616, 2469, 547, 723, 6410, 513, 7008, 540, 8536, 21240, 267, 543, 519, 2656, 3283, 5595, 602, 269, 2334, 1797, 1034, 540, 519, 2963, 540, 606, 4853, 3540, 5314, 568, 2469, 547, 723, 1044, 1016, 2265, 539, 1394, 896, 519, 12933, 4799, 288, 3873, 267, 519, 1482, 1184, 676, 799, 782, 2963, 540, 519, 6228, 540, 17878, 729, 10032, 267, 2495, 602, 649, 1631, 723, 1100, 2168, 2963, 789, 2479, 11478, 269, 3143, 8093, 2213, 7633, 267, 1100, 8093, 2213, 29066, 267, 1100, 13545, 1790, 527, 610, 993, 828, 15013, 269, 769, 1249, 267, 609, 865, 2370, 2963, 267, 649, 2760, 1256, 2022, 4327, 741, 6228, 610, 11827, 519, 2262, 21300, 2336, 3674, 621, 15002, 2065, 602, 17878, 1590, 11457, 1101, 1354, 11864, 286, 2598, 704, 572, 930, 11254, 7408, 547, 476, 1911, 5078, 10785, 267, 543, 17878, 5614, 8521, 538, 782, 540, 873, 269, 23703, 782, 17878, 267, 543, 11864, 786, 1491, 741, 1747, 888, 1432, 952, 519, 10785, 616, 5078, 585, 1272, 267, 855, 1683, 1114, 15128, 585, 4720, 286, 2290, 1522, 7957, 2293, 10760, 7068, 267, 1776, 1223, 581, 476, 4817, 260, 4988, 676, 1216, 269, 2052, 1405, 519, 1482, 11254, 7408, 6079, 11207, 1114, 5686, 540, 1272, 3029, 609, 1114, 23079, 267, 8219, 543, 10285, 1949, 888, 10498, 267, 865, 952, 519, 17878, 22821, 1405, 1044, 530, 21317, 856, 789, 1522, 1869, 4341, 519, 3047, 269, 1809, 2527, 970, 18728, 5949, 3833, 5781, 267, 865, 15983, 519, 17878, 2933, 1152, 3893, 513, 1413, 538, 1317, 519, 3105, 30085, 2249, 630, 26241, 756, 2103, 24047, 3893, 17515, 269, 12344, 519, 14925, 568, 2731, 2196, 676, 1007, 1206, 543, 4949, 565, 582, 3149, 2483, 1103, 606, 11466, 3510, 267, 1312, 3029, 1131, 581, 8449, 7123, 269, 634, 1184, 1572, 5198, 332, 5314, 1131, 2490, 606, 782, 5937, 610, 782, 6441, 4358, 1448, 883, 513, 7848, 540, 476, 2004, 260, 1142, 563, 3719, 519, 2713, 1591, 568, 711, 606, 11466, 3510, 281, 621, 568, 1018, 1250, 6323, 11000, 3464, 1572, 513, 26632, 894, 1062, 269, 901, 949, 581, 538, 513, 11931, 1533, 267, 855, 12346, 593, 513, 811, 610, 1447, 11931, 2095, 540, 1648, 563, 20751, 513, 26632, 894, 1062, 621, 568, 2009, 547, 4952, 602, 606, 19261, 267, 799, 3323, 693, 4351, 267, 1223, 581, 3172, 1881, 2394, 621, 729, 11207, 835, 21758, 563, 18693, 17190, 9499, 2491, 875, 519, 1950, 6675, 540, 1272, 723, 547, 581, 9846, 667, 610, 700, 865, 602, 789, 1439, 909, 538, 5812, 5546, 269, 1306, 1806, 267, 713, 568, 2877, 676, 11476, 282, 543, 568, 2877, 547, 1205, 513 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 279, 4239, 531, 476, 25090, 5379, 454, 1015, 27252, 476, 10755, 7176, 454, 1321, 13660, 1712, 31565, 476, 277, 1704, 273, 454, 736, 966, 580, 525, 2711, 476, 15433, 328, 454, 3607, 12476, 3607, 476, 10436, 324, 692, 1012, 9978, 9273, 630, 333, 815, 476, 10755, 7176, 2020, 2162, 18527, 692, 333, 9943, 328, 454, 562, 9943, 273, 476, 21076, 9834, 476, 28766, 11463, 476, 275, 2537, 10844, 476, 276, 3066, 3445, 692, 2162, 10406, 692, 14269, 454, 562, 22397, 482, 273, 476, 276, 3066, 280, 476, 31874, 273, 269, 6858, 476, 25784, 280, 269, 276, 476, 21076, 280, 269, 277, 692, 2162, 5890, 9426, 2747, 692, 14269, 454, 562, 273, 476, 12208, 28766, 2568, 275, 476, 15686, 271, 4097, 3422, 278, 866, 273, 476, 14695, 13923, 4510, 272, 6924, 274, 25484, 1626, 476, 15836, 7597, 277, 3374, 278, 277, 4817, 4792, 273, 271, 5325, 280, 6924, 692, 2162, 715, 628, 17848, 692, 328, 18414, 333, 454, 476, 273, 18414, 333, 476, 9083, 269, 280, 5325, 476, 2641, 269, 280, 4792, 276, 476, 1015, 269, 16409, 274, 476, 277, 269, 4343, 274, 3066, 692, 1012, 476, 10755, 7176, 607, 12166, 5546, 692, 2162, 17781, 692, 18924, 2678, 476, 21076, 9834, 476, 277, 4792, 8660, 269, 273, 476, 274, 269, 276, 2764, 6321, 324, 266, 5400, 692, 2162, 1975, 1877, 692, 11730, 476, 275, 269, 7176, 277, 6021, 324, 266, 1321, 476, 272, 269, 30329, 5655, 324, 266, 6021, 476, 277, 4792, 8660, 269, 273, 692, 2162, 12384, 692, 21920, 815, 562, 454, 32309, 476, 275, 2537, 10844, 476, 272, 269, 11277, 1240, 324, 266, 5400, 476, 14983, 9262, 269, 279, 692, 2162, 28116, 692, 21920, 815, 562, 454, 17183, 1858, 476, 277, 269, 278, 4375, 6187, 324, 266, 5400, 476, 272, 269, 5002, 4097, 324, 266, 1321, 476, 8146, 6321, 269, 274, 692, 2162, 4982, 10561, 21121, 692, 21920, 815, 562, 454, 32309, 476, 28766, 11463, 476, 275, 269, 279, 8287, 5392, 324, 266, 5881, 476, 280, 1704, 279, 269, 1691, 692, 2162, 10222, 9771, 30958, 692, 21920, 815, 562, 454, 17183, 1858, 476, 272, 269, 280, 3393, 275, 324, 266, 5400, 476, 272, 269, 29710, 10695, 324, 266, 1556, 476, 279, 4792, 274, 269, 2537, 692, 1012, 15303, 4919, 25300, 12793, 692, 30113, 276, 552, 277, 17304, 4962, 322, 5881, 321, 13893, 321, 277, 742, 275, 323, 272, 325, 323, 272, 7251, 273, 6277, 321, 28192, 476, 866, 320, 10711, 321, 11463, 539, 279, 325, 321, 273, 26501, 279, 320, 10463, 324, 4489, 276, 320, 279, 1789, 275, 323, 7251, 5881, 275, 325, 273, 320, 535, 11025, 323, 280, 325, 29574, 10623, 275, 325, 280, 3953, 324, 9032, 2378, 323, 278, 4375, 320, 273, 320, 14093, 323, 3393, 6767, 271, 321, 278, 320, 273, 320, 271, 659, 2420, 321, 7251, 23056, 20660, 14096, 275, 321, 278, 4029, 271, 476, 274, 611, 276, 6078, 280, 1815, 10623, 278, 325, 276, 2918, 4097, 17304, 277, 324, 271, 4391, 276, 320, 3147, 576, 320, 12893, 15171, 742, 274, 2801, 279, 2568, 320, 31620, 17304, 277, 324, 277, 325, 278, 11738, 321, 271, 324, 275, 322, 275, 320, 4375, 273, 31404, 16409, 3451, 7251, 27843, 276, 322, 6434, 275, 324, 1015, 320, 276, 6434, 323, 280, 325, 271, 322, 273, 324, 278, 5379, 320, 11011, 322, 276, 322, 2190, 629, 25320, 324, 278, 322, 6021, 274, 10037, 323, 476, 279, 322, 4649, 278, 876, 323, 5952, 272, 22396, 539, 322, 321, 279, 5655, 5038, 323, 7251, 6767, 271, 325, 6812, 277, 274, 325, 278, 323, 576, 764, 0, 2005, 568, 4867, 476, 1240, 8734, 476, 1001, 278, 267, 476, 6734, 281, 3607, 692, 2162, 17918, 11833, 11545, 16721, 692, 2971, 11289, 596, 585, 1210, 519, 22245, 910, 713, 4359, 1907, 666, 7447, 707, 2773, 543, 2303, 811, 2259, 2055, 269, 1284, 723, 20401, 539, 596, 547, 11545, 16721, 5999, 3842, 4757, 780, 20578, 1242, 454, 1721, 1411, 692, 933, 786, 4584, 1007, 2055, 602, 6474, 707, 1377, 1759, 593, 707, 7033, 518, 3778, 692, 9199, 1188, 692, 22336, 3018, 267, 649, 3580, 6494, 596, 606, 6059, 17918, 6060, 1759, 593, 707, 2773, 692, 20797, 454, 303, 904, 692, 933, 786, 4584, 1007, 2055, 602, 6474, 707, 1377, 1759, 593, 707, 7033, 518, 3778, 692, 258, 15638, 1299, 8871, 19600, 692, 30607, 15638, 1299, 8871, 19600, 538, 4873, 454, 15411, 26346, 25038, 692, 258, 589, 1053, 3328, 630, 541, 10379, 1611, 264, 1449, 6060, 593, 476, 275, 4255, 692, 2022, 16253, 7726, 8492, 20042, 3733, 3883, 12201, 17352, 12830, 3584, 454, 12041, 24606, 454, 307, 8980, 306, 1384, 2162, 31674, 16193, 692, 12421, 454, 16274, 281, 476, 5400, 8734, 476, 1220, 279, 454, 15803, 281, 476, 3066, 692, 20132, 19560, 476, 7906, 1496, 271, 3910, 2016, 281, 476, 271, 692, 288, 1053, 3328, 630, 541, 10379, 1611, 264, 1449, 6060, 593, 476, 275, 4255, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 1556, 8734, 476, 1220, 279, 267, 476, 1724, 281, 3451, 454, 272, 454, 1607, 2022, 729, 454, 19447, 10498, 300, 2752, 298, 3633, 454, 876, 281, 876, 692, 11795, 22187, 1384, 276, 260, 630, 869, 2020, 9223, 853, 1846, 1384, 11152, 260, 630, 876, 281, 2767, 264, 2953, 476, 278, 260, 630, 876, 281, 736, 264, 4636, 1759, 593, 476, 16960, 7886, 692, 2162, 31674, 17004, 22245, 10803, 692, 288, 2875, 781, 3328, 630, 541, 10379, 1611, 264, 1449, 6060, 593, 476, 275, 4255, 568, 476, 4281, 269, 1548, 1590, 581, 519, 2875, 781, 6060, 593, 513, 476, 276, 628, 1449, 585, 519, 2875, 781, 3328, 6060, 593, 519, 476, 276, 4255, 547, 581, 476, 3199, 2496, 10490, 264, 476, 3199, 454, 16360, 264, 476, 11025, 454, 18154, 264, 476, 10019, 454, 20573, 264, 476, 10436, 454, 27887, 264, 476, 6434, 692, 8008, 2894, 20591, 290, 4785, 31064, 5508, 24199, 32530, 3582, 4959, 28313, 281, 513, 24713, 550, 1606, 8584, 2071, 268, 541, 10379, 268, 11743, 23150, 1606, 14537, 6823, 268, 275, 2389, 3949, 268, 15389, 9262, 274, 11258, 454, 314, 3725, 557, 531, 316, 1975, 334, 8814, 281, 29314, 692, 20132, 19560, 476, 7906, 1496, 271, 3910, 2016, 281, 476, 271, 692, 306, 29262, 454, 16274, 281, 476, 1789, 4455, 476, 1220, 279, 454, 15803, 281, 476, 5908, 274, 692, 20132, 19560, 476, 277, 2537, 1496, 274, 3910, 2016, 281, 476, 3953, 692, 19613, 281, 20274, 4975, 454, 18662, 338, 281, 10434, 12928, 4169, 454, 3725, 281, 2875, 781, 6060, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 1556, 8734, 476, 1220, 279, 267, 476, 1724, 281, 4375, 454, 274, 454, 298, 11070, 5308, 454, 292, 269, 476, 6434, 692, 763, 2875, 1590, 6060, 693, 2547, 606, 476, 3199, 585, 2386, 269, 1403, 646, 8464, 606, 476, 279, 267, 1287, 646, 786, 991, 547, 6060, 476, 273, 17428, 585, 1142, 540, 519, 476, 275, 824, 4255, 547, 834, 24708, 909, 257, 519, 3017, 269, 1358, 1142, 941, 693, 476, 4281, 630, 520, 2547, 519, 3328, 568, 267, 855, 713, 568, 513, 1507, 1448, 543, 3085, 1405, 2339, 547, 519, 2626, 1040, 1924, 476, 275, 4255, 602, 941, 1142, 476, 273, 2798, 2110, 540, 519, 476, 3199, 3328, 602, 568, 5551, 1797, 519, 1985, 1449, 1590, 581, 476, 279, 2798, 2362, 982, 519, 5551, 3328, 267, 865, 476, 3199, 266, 279, 815, 476, 6434, 780, 7065, 2075, 7776, 5206, 912, 288, 2875, 779, 3328, 630, 541, 10379, 1611, 264, 1449, 6060, 593, 476, 275, 4255, 568, 476, 4281, 269, 1548, 1590, 581, 519, 2875, 779, 6060, 593, 513, 476, 276, 628, 1449, 585, 519, 2875, 779, 3328, 6060, 593, 519, 476, 276, 4255, 547, 581, 476, 3199, 2496, 288, 269, 476, 3199, 454, 289, 269, 476, 11025, 454, 290, 269, 476, 10019, 454, 291, 269, 476, 10436, 454, 292, 269, 476, 6434, 692, 6303, 318, 692, 5785, 955, 454, 297, 19395, 24261, 454, 1262, 296, 6415, 7168, 2386, 594, 6415, 1318, 267, 855, 1287, 1586, 267, 594, 6415, 1175, 513, 18560, 609, 1010, 2212, 909, 1010, 513, 780, 29479, 11833, 20031, 1756, 16840, 1222, 910, 2462, 2640, 543, 9806, 692, 20132, 19560, 476, 277, 2537, 1496, 274, 3910, 2016, 281, 476, 3953, 692, 10048, 4526, 454, 16274, 281, 476, 6349, 8734, 476, 1220, 280, 454, 15803, 281, 476, 15389, 692, 20132, 19560, 476, 18684, 1496, 272, 3910, 2016, 281, 476, 9032, 692, 3725, 281, 2875, 781, 6060, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 2918, 4924, 476, 1001, 272, 267, 476, 2420, 281, 3374, 454, 272, 454, 298, 11070, 5308, 454, 3721, 476, 272, 264, 11192, 20699, 19105, 265, 1297, 692, 20135, 815, 476, 4281, 265, 275, 815, 24374, 692, 3721, 476, 273, 264, 570, 815, 589, 265, 301, 454, 275, 628, 1449, 1341, 476, 276, 628, 815, 2698, 454, 24374, 1341, 276, 628, 1449, 815, 630, 3199, 265, 276, 994, 276, 628, 1449, 815, 476, 6110, 268, 24374, 815, 6434, 692, 11687, 532, 593, 11192, 815, 589, 265, 333, 692, 20132, 19560, 476, 18684, 1496, 272, 3910, 2016, 281, 476, 9032, 692, 10048, 4526, 454, 16274, 281, 476, 1240, 3967, 476, 1001, 272, 454, 15803, 281, 476, 25248, 692, 20132, 19560, 476, 4391, 1496, 271, 3910, 2016, 281, 476, 275, 692, 3725, 281, 2875, 781, 6060, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 6021, 4455, 476, 1001, 272, 267, 476, 1428, 281, 6246, 454, 822, 326, 593, 476, 275, 568, 476, 4281, 267, 538, 1931, 547, 2333, 519, 1285, 326, 547, 476, 3199, 267, 519, 1007, 1297, 1058, 581, 2111, 547, 3565, 476, 273, 547, 1142, 540, 519, 4540, 476, 275, 2338, 1775, 4318, 269, 476, 279, 538, 2698, 865, 476, 6434, 563, 6303, 318, 692, 14187, 24664, 8627, 2439, 30995, 20055, 543, 581, 5280, 26008, 1262, 4373, 20132, 19560, 476, 4391, 1496, 271, 3910, 2016, 281, 476, 275, 692, 15239, 6953, 3861, 14871, 454, 16274, 281, 476, 6021, 9484, 476, 1001, 274, 454, 15803, 281, 476, 14444, 9032, 692, 20132, 19560, 476, 27005, 1496, 271, 3910, 2016, 281, 476, 271, 692, 3725, 281, 589, 1053, 3328, 630, 541, 10379, 1611, 264, 1449, 6060, 593, 476, 275, 4255, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 1724, 9484, 476, 1001, 274, 267, 476, 5881, 281, 7367, 454, 15916, 689, 519, 17918, 11833, 645, 2794, 289, 582, 2439, 12552, 547, 1776, 17918, 11833, 4759, 267, 594, 723, 1175, 4362, 713, 3407, 1888, 267, 2943, 621, 1185, 1100, 4901, 585, 936, 513, 1032, 269, 594, 993, 1631, 536, 18804, 621, 909, 910, 3257, 1250, 2816, 269, 594, 1589, 596, 949, 1265, 621, 3407, 630, 525, 335, 1346, 30491, 609, 918, 16997, 6393, 23763, 547, 1294, 782, 824, 3584, 594, 2007, 856, 286, 7427, 803, 630, 28781, 1246, 7735, 593, 9043, 1040, 1411, 786, 4309, 513, 5758, 540, 782, 3584, 594, 29424, 538, 707, 9043, 1858, 607, 1134, 607, 3842, 4757, 563, 6303, 318, 692, 20132, 19560, 476, 27005, 1496, 271, 3910, 2016, 281, 476, 271, 692, 13043, 16869, 454, 16274, 281, 476, 6349, 9484, 476, 1220, 280, 454, 15803, 281, 476, 32455, 5392, 692, 20132, 19560, 476, 15171, 4649, 275, 1496, 271, 3910, 2016, 281, 476, 11277, 2918, 692, 3725, 281, 589, 1053, 3328, 630, 541, 10379, 1611, 264, 1449, 6060, 593, 476, 275, 4255, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 1724, 9484, 476, 1001, 274, 267, 476, 5400, 281, 7367, 454, 288, 2875, 781, 3328, 630, 541, 10379, 1611, 264, 1449, 6060, 593, 476, 275, 4255, 568, 476, 4281, 269, 1548, 1590, 581, 519, 2875, 781, 6060, 593, 513, 476, 276, 628, 1449, 585, 519, 2875, 781, 3328, 6060, 593, 519, 476, 276, 4255, 547, 581, 476, 3199, 2496, 10490, 264, 476, 3199, 454, 16360, 264, 476, 11025, 454, 18154, 264, 476, 10019, 454, 20573, 264, 476, 10436, 454, 27887, 264, 476, 6434, 692, 7712, 519, 2875, 781, 3328, 1449, 6060, 593, 476, 275, 4255, 568, 476, 4281, 267, 1287, 519, 2040, 540, 519, 1101, 476, 275, 1449, 8464, 568, 476, 275, 265, 4281, 284, 24374, 269, 1284, 991, 519, 2040, 540, 20231, 476, 276, 8464, 547, 581, 476, 276, 265, 3199, 284, 6110, 267, 865, 952, 3230, 343, 2330, 568, 519, 476, 276, 628, 1449, 6060, 267, 1287, 3230, 24374, 21147, 284, 6110, 2330, 25341, 3230, 343, 284, 6434, 29634, 8008, 2894, 20591, 290, 4785, 31064, 5508, 24199, 32530, 3582, 4959, 28313, 281, 513, 24713, 550, 1606, 8584, 2071, 268, 541, 10379, 268, 11743, 23150, 1606, 14537, 6823, 268, 275, 2389, 3949, 268, 15389, 9262 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 29209, 6363, 768, 520, 476, 273, 5937, 12443, 659, 787, 4594, 728, 717, 601, 5082, 5268, 2803, 529, 454, 268, 476, 273, 269, 273, 330, 20042, 454, 3682, 974, 1231, 616, 7768, 540, 1114, 2338, 540, 9243, 9797, 543, 11874, 9901, 11254, 7408, 269, 4475, 267, 5946, 4268, 4922, 538, 2450, 543, 723, 2901, 2318, 267, 2942, 267, 610, 4642, 2121, 5279, 267, 4470, 593, 519, 9063, 540, 741, 10450, 269, 634, 3312, 1079, 8820, 15074, 32661, 2803, 529, 3898, 729, 2919, 3592, 476, 1789, 1296, 3516, 630, 272, 264, 547, 17908, 713, 8390, 538, 3940, 5279, 543, 2450, 585, 9668, 5301, 269, 634, 568, 29090, 1448, 540, 513, 3940, 630, 335, 296, 264, 568, 519, 9063, 693, 799, 621, 814, 513, 2121, 4642, 5279, 267, 799, 267, 585, 519, 5354, 540, 5946, 267, 6013, 1063, 9063, 476, 275, 269, 271, 543, 476, 279, 269, 271, 269, 634, 7306, 540, 5946, 4268, 4922, 630, 1015, 1700, 4335, 737, 291, 320, 1070, 609, 606, 3328, 7636, 2597, 540, 4114, 476, 2004, 737, 291, 320, 269, 1452, 1079, 20102, 4830, 3601, 616, 23699, 676, 1101, 569, 3954, 520, 1005, 5946, 538, 579, 16699, 543, 1287, 1641, 532, 873, 547, 606, 3167, 2361, 538, 513, 9063, 13506, 3964, 538, 513, 1970, 8410, 1417, 1674, 4874, 659, 787, 4594, 728, 15074, 630, 10594, 3373, 713, 9063, 13506, 729, 4646, 267, 1210, 16822, 8432, 5052, 267, 538, 2198, 267, 855, 1631, 3348, 770, 1799, 984, 28895, 9063, 13506, 1496, 7709, 294, 316, 17446, 1496, 273, 267, 476, 274, 267, 476, 275, 316, 616, 1336, 547, 581, 811, 6325, 1040, 769, 713, 2013, 267, 782, 855, 519, 1360, 4102, 5946, 666, 22109, 11884, 2394, 789, 3914, 513, 9063, 693, 799, 789, 723, 1100, 2121, 5279, 630, 529, 29090, 2519, 1496, 296, 9128, 316, 1040, 2991, 12032, 540, 519, 2519, 267, 519, 5946, 616, 3954, 25733, 538, 2198, 267, 741, 5065, 5279, 568, 15459, 609, 519, 606, 31020, 28052, 550, 9770, 546, 1712, 1097, 331, 20962, 622, 630, 306, 9169, 1070, 543, 1287, 519, 15074, 568, 30305, 267, 13902, 547, 519, 4287, 540, 2519, 267, 593, 513, 2362, 8410, 1417, 1674, 4874, 659, 787, 4594, 728, 15074, 267, 543, 519, 5059, 5946, 616, 9674, 593, 519, 4493, 540, 2450, 269, 901, 3947, 4473, 547, 15768, 9634, 8204, 835, 630, 528, 5310, 513, 1360, 1507, 1297, 264, 540, 1114, 5946, 563, 21292, 306, 18754, 667, 1712, 1097, 331, 590, 17139, 622, 1323, 31020, 5489, 1120, 550, 31406, 667, 1712, 1097, 331, 590, 17139, 622, 3600, 787, 4594, 728, 8827, 853, 8692, 15579, 518, 3600, 787, 4594, 728, 12443, 1067, 1436, 454, 268, 476, 272, 20166, 685, 293, 19128, 961, 267, 623, 269, 670, 269, 630, 3192, 276, 264, 4400, 6571, 1079, 8820, 32661, 2803, 529, 540, 5946, 269, 808, 269, 22776, 269, 6314, 269, 476, 7742, 267, 476, 6110, 278, 1700, 29710, 272, 32155, 10104, 454, 268, 476, 273, 15030, 6856, 1889, 1512, 267, 681, 1421, 661, 330, 267, 918, 1421, 15519, 515, 26152, 267, 623, 269, 717, 1421, 717, 1014, 1794, 5633, 267, 661, 1421, 717, 23152, 326, 267, 589, 1421, 543, 5403, 601, 267, 654, 269, 630, 2735, 273, 264, 594, 810, 26104, 2519, 538, 1799, 984, 28895, 9063, 27080, 281, 6240, 267, 12191, 543, 930, 3156, 269, 808, 269, 4437, 32554, 269, 4437, 19398, 269, 476, 277, 263, 28766, 1070, 476, 26552, 32155, 10104, 454, 268, 476, 1321, 10611, 629, 650, 3716, 267, 570, 269, 630, 1960, 279, 264, 2422, 540, 555, 328, 537, 16699, 547, 2333, 519, 32610, 540, 9245, 5946, 538, 1079, 8820, 32661, 2803, 529, 269, 5082, 5268, 2803, 529, 476, 866, 267, 476, 4037, 280, 1700, 31318, 32155, 10104, 454, 268, 476, 1724, 14371, 23152, 326, 267, 589, 1421, 32181, 3578, 267, 717, 1421, 744, 828, 2742, 1512, 267, 595, 1421, 10434, 518, 267, 589, 1421, 543, 1284, 1170, 267, 654, 269, 630, 1960, 279, 264, 476, 273, 5937, 32661, 2803, 529, 609, 1799, 984, 28895, 9063, 27080, 1210, 7379, 294, 874, 528, 568, 29090, 2519, 1062, 269, 5020, 3163, 5240, 476, 272, 267, 476, 275, 1700, 277, 32155, 10104, 0, 2414, 2328, 513, 1434, 1557, 593, 1977, 14134, 267, 1101, 267, 596, 991, 547, 1205, 606, 2856, 540, 1018, 547, 2328, 827, 269, 1677, 1205, 6667, 267, 5225, 979, 998, 938, 1557, 1806, 593, 713, 1888, 563, 13563, 14134, 10749, 281, 7305, 540, 12474, 454, 3674, 519, 1977, 14134, 16458, 610, 1325, 633, 4828, 454, 23192, 267, 519, 2048, 291, 3195, 685, 729, 679, 6665, 3042, 547, 581, 1272, 538, 513, 1007, 1158, 1141, 4376, 3811, 666, 4755, 543, 1434, 1919, 1522, 630, 295, 5255, 338, 18876, 267, 476, 1960, 277, 1040, 769, 476, 3422, 274, 267, 9410, 13162, 3751, 808, 333, 337, 1767, 602, 646, 1932, 1185, 513, 5326, 968, 7474, 593, 519, 2699, 15113, 540, 11908, 519, 14930, 540, 5449, 10553, 5411, 786, 581, 2111, 547, 1694, 1524, 1927, 693, 513, 3349, 540, 7015, 3125, 892, 11473, 281, 634, 22684, 1040, 4595, 1287, 267, 1082, 3344, 540, 9410, 13162, 3751, 779, 14134, 585, 519, 1977, 1004, 723, 2097, 3020, 267, 855, 930, 2611, 513, 5326, 269, 4653, 267, 519, 10206, 540, 519, 2048, 13563, 14134, 685, 21018, 2484, 3564, 519, 2856, 540, 2797, 543, 3909, 5191, 547, 513, 811, 17215, 20218, 3490, 269, 634, 2136, 2276, 814, 5051, 1831, 513, 7082, 2861, 2486, 267, 865, 519, 2856, 540, 2048, 338, 15471, 685, 568, 1631, 6027, 676, 1570, 5763, 1107, 513, 3043, 4584, 564, 535, 10642, 2777, 538, 519, 1016, 31755, 2347, 609, 1286, 267, 2915, 543, 1079, 1453, 563, 763, 1977, 14134, 568, 1869, 9800, 267, 855, 1152, 538, 519, 8186, 540, 1346, 4961, 945, 723, 519, 2200, 547, 30593, 519, 4214, 540, 1967, 267, 12077, 267, 1570, 5763, 269, 20591, 290, 4785, 31064, 634, 2475, 568, 519, 1034, 9565, 2197, 538, 519, 1158, 269, 901, 568, 2938, 711, 1152, 538, 13075, 4222, 543, 1870, 1379, 267, 855, 849, 538, 519, 3903, 540, 2575, 267, 9660, 543, 16351, 2238, 269, 898, 568, 713, 8226, 602, 14405, 1004, 547, 519, 2856, 540, 519, 1390, 1977, 14134, 543, 519, 2048, 1633, 540, 519, 1863, 8730, 513, 8226, 602, 585, 519, 1318, 1268, 693, 519, 1318, 942, 267, 3388, 568, 2009, 269, 3013, 814, 12926, 1044, 513, 2244, 540, 11082, 543, 519, 1753, 547, 1004, 540, 1082, 3084, 885, 543, 4529, 267, 782, 14971, 547, 3035, 519, 14134, 563, 15900, 11082, 723, 2451, 606, 30170, 1665, 593, 1977, 4872, 543, 2486, 267, 689, 519, 32228, 2103, 538, 1715, 3840, 267, 519, 32090, 6705, 540, 16855, 543, 519, 11068, 8862, 652, 267, 547, 519, 811, 2487, 6329, 540, 11082, 689, 5607, 593, 519, 4639, 11076, 630, 295, 5255, 338, 18876, 267, 476, 1960, 277, 1916, 3674, 1977, 14134, 7464, 4828, 454, 25567, 320, 568, 519, 2244, 540, 4316, 1141, 9909, 666, 2097, 3020, 269, 968, 763, 2898, 540, 519, 1977, 5326, 814, 1044, 1759, 593, 519, 4960, 547, 1205, 6619, 267, 585, 835, 779, 1582, 610, 835, 779, 1453, 269, 14348, 713, 2197, 723, 2479, 6603, 519, 1448, 621, 814, 952, 519, 1367, 1185, 2141, 1044, 15189, 519, 12587, 540, 1010, 2978, 832, 543, 12178, 9495, 1107, 22832, 2558, 639, 869, 17566, 1452, 1913, 9275, 676, 6276, 2558, 639, 869, 17566, 513, 5856, 543, 2797, 6085, 1807, 6829, 513, 4743, 602, 568, 1869, 4143, 2221, 269, 8056, 580, 7847, 689, 782, 936, 519, 1158, 723, 15354, 593, 891, 24528, 538, 3406, 540, 621, 269, 4892, 4535, 543, 26870, 1934, 2661, 741, 2729, 20678, 547, 3035, 621, 563, 763, 1977, 14134, 568, 1483, 1317, 713, 4182, 7512, 543, 14014, 922, 5326, 619, 676, 20170, 547, 21246, 1023, 1759, 593, 5126, 267, 5191, 267, 543, 3160, 4316, 269, 26321, 4316, 9863, 547, 581, 835, 540, 519, 1034, 1271, 2609, 540, 519, 1977, 14134, 1851, 519, 17037, 945, 3576, 851, 538, 938, 5619, 269, 901, 1523, 729, 5258, 1851, 1082, 5396, 1519, 2069, 269, 4065, 568, 835, 540, 519, 4128, 3013, 5012, 519, 1158, 269, 4634, 1498, 519, 4441, 540, 6044, 543, 6703, 949, 8428, 689, 835, 23407, 3009, 547, 824, 3255, 798, 2291, 267, 3610, 616, 4061, 835, 540, 519, 1832, 619, 540, 519, 1977, 14134, 563, 9827, 3292, 899, 10361, 3399, 267, 799, 3459, 538, 476, 3422, 276, 267, 2291, 547, 5351, 1970, 13867, 1453, 543, 741, 3885, 609, 1126, 1646, 269, 901, 1982, 3947, 873, 519, 4316, 547, 2253, 741, 2729, 593, 606, 3160, 4493, 609, 1866, 269, 26321, 4316, 849, 4016, 547, 3255, 2139, 7488, 540, 824, 2188, 971, 607, 5198, 267, 4008, 267, 543, 2085, 269, 16572, 2291, 602, 2061, 7130, 585, 891, 543, 824, 4128, 269, 634, 4031, 540, 713, 2197, 711, 1152, 2149, 1996, 519, 7130, 789, 4196, 547, 10018, 5126, 585, 782, 563, 8512, 540, 519, 1977, 14134, 3340, 602, 782, 4961, 581, 5701, 9425, 269, 30543, 899, 519, 10966, 7040, 814, 1419, 19500, 547, 2149, 12504, 779, 1569, 547, 519, 1977, 5326, 563, 13563, 14740, 543, 519, 1977, 14134, 4828, 454, 763, 22184, 602, 17158, 539, 519, 476, 4572, 271, 779, 543, 476, 4350, 271, 779, 538, 4683, 3013, 3177, 513, 32193, 540, 2757, 18691, 267, 3979, 20054, 267, 543, 10700, 2686, 25954, 538, 3013, 269, 1879, 519, 1279, 2395, 540, 3665, 15746, 2509, 1346, 540, 2681, 8604, 547, 31652, 1524, 267, 1082, 28953, 5087, 547, 9101, 741, 4652, 987, 558, 762, 2250, 338, 538, 519, 7013, 2829, 269, 634, 2349, 2931, 685, 3803, 10278, 5462, 741, 9566, 540, 2686, 14762, 543, 13884, 269, 13018, 267, 31222, 267, 1715, 3840, 729, 9927, 883, 513, 2749, 540, 2189, 1148, 543, 7544, 269, 634, 4583, 21011, 14364, 4371, 1082, 1390, 2206, 619, 945, 6829, 741, 7772, 267, 530, 4141, 267, 543, 16012, 10362, 538, 519, 2749, 269, 19452, 267, 1082, 5830, 543, 15023, 540, 3109, 5169, 5206, 827, 741, 968, 325, 516, 4520, 892, 543, 2566, 585, 552, 6549, 9107, 4441, 602, 941, 12042, 1229, 676, 13343, 18844, 1876, 2094, 476, 6942, 275, 563, 2108, 20225, 26147, 855, 3160, 2223, 729, 606, 4998, 602, 9674, 1318, 995, 1977, 4961, 540, 2681, 689, 1346, 540, 14402, 1950, 687, 269, 3414, 519, 31222, 11193, 267, 17051, 1223, 2769, 741, 8990, 585, 6284, 538, 1977, 2486, 607, 1318, 995, 4961, 269, 9282, 267, 585, 930, 713, 2856, 267, 8604, 7334, 269, 4279, 1806, 540, 519, 3406, 543, 14751, 566, 540, 1977, 3961, 568, 2938, 538, 2185, 1568, 676, 18999, 8725, 24806, 267, 19863, 324, 21025, 599, 267, 1488, 3534, 645, 2632, 655, 1186, 6276, 654, 15505, 517, 9652, 269, 3509, 666, 3858, 602, 519, 31222, 11193, 729, 513, 18463, 585, 7682, 532, 606, 1977, 3961, 267, 14344, 17051, 607, 606, 3160, 5057, 540, 1977, 6848, 2497, 267, 607, 1134, 607, 15819, 519, 7872, 540, 1140, 8724, 713, 3804, 563, 1103, 18999, 8725, 24806, 685, 6648, 968, 296, 267, 18320, 5608, 2982, 1977, 32742, 593, 519, 15773, 540, 519, 3109, 17069, 864, 269, 634, 10584, 5956, 609, 1010, 25621, 540, 3013, 998, 267, 968, 296, 267, 1932, 267, 2206, 3013, 1848, 630, 331, 1040, 634, 6679, 1899, 5036, 513, 29014, 3159, 585, 519, 6429, 13269, 269, 634, 10584, 19528, 606, 2272, 540, 21440, 855, 1281, 711, 1450, 713, 547, 844, 1662, 1010, 4978, 607, 513, 1318, 995, 1977, 563, 1432, 1772, 1977, 14134, 4828, 454, 763, 1977, 5326, 666, 581, 3989, 607, 519, 22059, 540, 513, 3501, 3013, 4904, 609, 2588, 26508, 6859, 543, 11995, 7399, 630, 19913, 592, 2006, 267, 476, 1220, 279, 1040, 901, 568, 7488, 540, 7292, 4282, 543, 1514, 4567, 269, 5020, 568, 5156, 547, 581, 1732, 543, 6899, 585, 782, 543, 972, 568, 1761, 547, 1831, 8726, 596, 1616, 269, 15526, 9909, 540, 513, 1272, 1510, 2566, 543, 2591, 267, 609, 2760, 268, 2056, 3761, 540, 2724, 543, 1025, 1170, 269, 2060, 2614, 2724, 547, 4444, 4376, 267, 513, 1434, 2816, 267, 513, 1390, 1920, 543, 2713, 538, 3413, 23308, 4025, 538, 3013, 899, 21035, 543, 11968, 13353, 269, 898, 568, 5156, 602, 782, 713, 568, 2009, 538, 3013, 267, 8754, 519, 8360, 2048, 763, 1977, 14134, 17483, 1607, 5326, 2488, 596, 609, 519, 3501, 2828, 543, 1920, 267, 945, 616, 2141, 972, 585, 596, 543, 2648, 11014, 269, 901, 568, 519, 2601, 1946, 1082, 1004, 979, 547, 519, 2136, 2276, 540, 3013, 269, 1358, 3494, 602, 538, 3013, 267, 789, 1131, 3035, 741, 2123, 3853, 267, 13190, 543, 31717, 640, 267, 1945, 789 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1318, 7944, 540, 519, 1843, 563, 23044, 12125, 616, 849, 5219, 547, 607, 1184, 11837, 610, 2095, 12222, 269, 10417, 19352, 667, 8656, 16165, 4456, 642, 1321, 568, 513, 3501, 1184, 2095, 24577, 3301, 609, 3638, 2095, 5750, 17074, 543, 2095, 5750, 6698, 596, 666, 1711, 3318, 2095, 12125, 3533, 543, 3362, 563, 17746, 1192, 532, 513, 2095, 5750, 568, 1419, 835, 540, 519, 1101, 2238, 540, 513, 1184, 6454, 4674, 267, 1317, 540, 519, 1739, 2640, 281, 5269, 1184, 2095, 577, 11301, 12315, 3025, 513, 2312, 1620, 540, 519, 1184, 6435, 547, 2697, 1875, 17032, 14194, 4765, 4238, 11120, 4106, 622, 16542, 543, 2792, 5901, 3025, 593, 519, 1482, 2985, 5071, 513, 2095, 12125, 10046, 24577, 4070, 3092, 563, 9359, 609, 513, 2241, 835, 11060, 6609, 610, 2140, 540, 519, 1184, 1373, 2095, 577, 14975, 324, 269, 13129, 2143, 1344, 998, 14391, 725, 610, 28339, 269, 7427, 519, 1184, 998, 547, 12032, 267, 20922, 676, 513, 13042, 1439, 12363, 2095, 24577, 3090, 267, 552, 269, 6787, 596, 616, 519, 6852, 17082, 9849, 1082, 22970, 267, 610, 835, 540, 1082, 593, 519, 1646, 2319, 267, 4687, 513, 1455, 3308, 1893, 786, 3391, 519, 1788, 998, 922, 1082, 23200, 543, 1646, 11775, 2429, 519, 14292, 1374, 1184, 269, 2750, 1815, 5737, 1744, 7398, 3213, 1421, 5549, 563, 529, 513, 12370, 6355, 630, 295, 16576, 264, 8865, 5530, 593, 5303, 1299, 15051, 267, 22513, 10783, 2160, 2488, 670, 16576, 2013, 1353, 7084, 948, 585, 1175, 1269, 3776, 2013, 3070, 568, 1759, 593, 8865, 5530, 6396, 6791, 1299, 938, 2518, 4030, 563, 17637, 532, 513, 7743, 31044, 15873, 585, 513, 5741, 15129, 2290, 23314, 540, 3919, 1374, 1184, 568, 3919, 5750, 1547, 634, 3919, 5750, 568, 968, 1492, 3308, 12180, 1184, 269, 4635, 513, 2013, 1353, 267, 649, 4553, 513, 1184, 676, 799, 649, 2919, 513, 1007, 3919, 5750, 4586, 1103, 519, 521, 667, 749, 19117, 1312, 519, 2780, 2872, 543, 3761, 5832, 2359, 609, 922, 1463, 3562, 15926, 10179, 1870, 2203, 269, 1280, 519, 2250, 1896, 1296, 267, 2705, 267, 519, 2754, 814, 1044, 13321, 922, 3761, 5832, 883, 513, 1617, 747, 14128, 267, 5302, 7757, 2203, 267, 609, 1114, 4507, 585, 7674, 6800, 267, 9746, 5561, 267, 2733, 12781, 267, 543, 21625, 563, 2750, 1815, 5737, 1744, 16630, 16721, 1563, 676, 281, 15445, 1744, 7398, 7577, 5549, 269, 4728, 476, 2420, 267, 7726, 476, 272, 281, 30770, 519, 1739, 9424, 585, 519, 1699, 2504, 1184, 607, 1134, 607, 585, 19375, 779, 543, 594, 651, 779, 4566, 267, 14322, 519, 4566, 616, 8045, 607, 4330, 538, 519, 2013, 269, 20638, 281, 1677, 1353, 519, 5663, 1184, 540, 5794, 24650, 14742, 543, 1946, 570, 9567, 1787, 729, 6074, 607, 519, 4087, 585, 519, 5663, 3490, 563, 763, 5794, 24650, 589, 568, 513, 5595, 11546, 1188, 267, 2647, 23073, 267, 2185, 268, 19956, 15191, 2011, 4802, 518, 14475, 676, 5794, 24650, 269, 898, 568, 519, 1158, 781, 4102, 18213, 2011, 4802, 518, 269, 1635, 1739, 519, 5528, 12303, 1022, 1826, 540, 2095, 5750, 666, 581, 1500, 563, 5649, 811, 269, 2290, 1268, 1336, 713, 5363, 269, 6435, 995, 269, 19410, 7797, 6057, 269, 7917, 700, 269, 17166, 516, 269, 856, 540, 476, 276, 6801, 4279, 4985, 563, 18550, 476, 2537, 267, 14474, 281, 28980, 7638, 1881, 27619, 269, 1280, 2576, 602, 2115, 513, 2656, 4367, 543, 513, 2324, 1702, 540, 6355, 6713, 17352, 281, 0, 8070, 6180, 655, 18362, 616, 4922, 1031, 547, 3313, 519, 2014, 540, 2669, 267, 2943, 2757, 1313, 641, 1910, 814, 4957, 2370, 538, 519, 2250, 2540, 267, 9967, 540, 5007, 6514, 543, 859, 529, 1356, 566, 267, 771, 7611, 540, 519, 2101, 8219, 609, 8446, 540, 12550, 2675, 8084, 2619, 3098, 543, 7063, 563, 288, 1906, 1296, 3516, 267, 543, 538, 513, 1391, 547, 4434, 519, 2361, 540, 18837, 4915, 267, 513, 2319, 540, 3744, 693, 519, 2160, 540, 2098, 584, 747, 2073, 16848, 267, 814, 1044, 1583, 6053, 3384, 12747, 2645, 543, 4066, 547, 2087, 2164, 267, 2569, 3790, 267, 543, 942, 1282, 1313, 3591, 625, 269, 1635, 9256, 1007, 4066, 267, 899, 476, 274, 291, 9196, 267, 17655, 267, 543, 8228, 547, 5352, 5691, 1313, 641, 1910, 2645, 267, 883, 1018, 814, 5555, 1831, 513, 7622, 2012, 538, 2062, 985, 923, 513, 14679, 1634, 607, 519, 5164, 9008, 1910, 1788, 2073, 610, 1175, 4075, 641, 1910, 267, 789, 616, 4657, 519, 17565, 540, 2062, 985, 923, 563, 2026, 851, 540, 519, 5164, 9008, 1910, 1788, 267, 3744, 723, 2097, 909, 609, 3860, 2081, 547, 948, 519, 2361, 540, 2062, 985, 923, 267, 609, 2093, 8151, 689, 20965, 6781, 913, 281, 623, 10134, 328, 10870, 1426, 267, 15165, 267, 543, 20892, 1587, 1899, 5346, 270, 13126, 281, 623, 10134, 328, 10870, 623, 10134, 328, 10870, 5828, 547, 1907, 532, 609, 476, 274, 291, 8228, 1862, 0, 21581, 2626, 281, 1548, 779, 519, 14438, 540, 513, 6862, 19886, 4104, 3032, 286, 1948, 3333, 2176, 454, 12749, 1655, 4267, 547, 519, 2243, 16938, 1432, 568, 519, 14438, 540, 513, 6862, 19886, 4104, 3032, 14872, 454, 12024, 1034, 6469, 3032, 14981, 267, 21785, 11206, 19949, 666, 2661, 9170, 689, 476, 1321, 547, 476, 736, 1296, 267, 4470, 593, 741, 2949, 1072, 543, 2298, 540, 1416, 269, 9282, 3622, 2635, 267, 713, 6923, 16757, 9742, 666, 2887, 6408, 547, 8377, 543, 824, 2597, 1644, 2042, 899, 3987, 543, 4745, 2152, 607, 789, 2085, 563, 763, 9742, 568, 1360, 1434, 693, 16246, 282, 2094, 789, 723, 2178, 32356, 269, 634, 14438, 568, 2356, 476, 1691, 547, 476, 1626, 1296, 267, 4352, 8459, 543, 2295, 3676, 723, 1044, 4080, 538, 519, 9742, 563, 268, 21785, 11206, 19949, 616, 3622, 2635, 267, 609, 513, 1279, 1272, 12732, 540, 476, 1691, 547, 476, 1626, 1296, 269, 634, 1739, 3676, 723, 1044, 2938, 538, 519, 9742, 281, 31946, 322, 4094, 19554, 8376, 10001, 267, 513, 4686, 1200, 3386, 2783, 602, 5540, 10307, 540, 7280, 269, 4107, 6539, 29181, 609, 519, 2068, 616, 1869, 9799, 610, 5884, 1369, 513, 1906, 3108, 540, 4332, 31972, 21581, 2626, 281, 1548, 1426, 1281, 519, 6862, 19886, 4104, 3032, 2648, 286, 1948, 3333, 2176, 0, 309, 514, 1417, 8709, 717, 26710, 729, 513, 2022, 268, 3412, 16054, 626, 18048, 4171, 960, 2443, 8037, 585, 922, 5898, 267, 7553, 543, 2681, 2443, 3810, 6766, 476, 736, 628, 10601, 1148, 269, 1261, 17388, 609, 2790, 4576, 543, 7283, 4057, 543, 12303, 7164, 2429, 1010, 1272, 563, 24078, 11709, 717, 26710, 779, 1272, 8909, 888, 2026, 646, 729, 7206, 930, 540, 519, 1034, 9976, 543, 9565, 1148, 540, 782, 942, 267, 27673, 8709, 717, 26710, 630, 18550, 476, 1789, 267, 476, 6977, 274, 1700, 20809, 476, 3066, 267, 476, 6245, 271, 264, 729, 28530, 1010, 2587, 340, 5109, 2790, 4576, 2443, 7928, 14501, 540, 4965, 267, 1612, 3315, 4506, 4160, 543, 267, 2687, 547, 930, 6589, 267, 519, 2589, 540, 17299, 4524, 2443, 799, 1131, 5555, 6693, 24078, 11709, 717, 26710, 779, 1272, 6126, 888, 298, 754, 718, 13187, 602, 1247, 11709, 717, 26710, 8909, 569, 11124, 689, 3134, 850, 10364, 17465, 972, 941, 2053, 646, 729, 2965, 6126, 269, 1261, 729, 2212, 27492, 13463, 1564, 538, 2648, 609, 2470, 31539, 6689, 513, 10178, 857, 518, 540, 12961, 543, 5810, 267, 1256, 547, 6616, 2249, 676, 2012, 563, 3963, 1705, 11709, 717, 26710, 14299, 1055, 1010, 1274, 888, 309, 514, 1417, 8709, 717, 26710, 2759, 1055, 1010, 2451, 1274, 950, 10917, 619, 1166, 1563, 609, 6754, 717, 879, 7666, 514, 267, 519, 7376, 609, 7247, 646, 1185, 1044, 2324, 585, 513, 1247, 538, 1488, 956, 269, 11709, 717, 26710, 779, 4576, 7000, 3294, 281, 646, 3459, 547, 26390, 3729, 543, 11124, 6285, 538, 799, 646, 4503, 9637, 269, 4438, 835, 540, 891, 6285, 267, 646, 1031, 519, 17180, 563, 1432, 616, 476, 276, 4277, 5013, 827, 27673, 8709, 717, 26710, 888, 279, 4241, 5013, 827, 27673, 8709, 717, 26710, 454, 268, 1261, 13556, 3592, 476, 12010, 10367, 538, 476, 1015, 1296, 269, 6693, 268, 8709, 717, 26710, 779, 25411, 1255, 941, 6995, 267, 13189, 543, 3694, 269, 6693, 268, 634, 5168, 3297, 8709, 717, 26710, 779, 1274, 568, 1869, 7164, 269, 6693, 268, 2048, 1805, 14019, 13957, 685, 729, 2813, 538, 606, 2048, 553, 23796, 685, 6693, 268, 8709, 717, 26710, 729, 513, 22082, 540, 519, 2022, 27780, 1833, 2065, 1582, 773, 563, 8005, 13556, 519, 3458, 600, 888, 763, 2817, 7467, 538, 14642, 5979, 6585, 835, 540, 519, 1158, 779, 1034, 1271, 10070, 540, 10367, 676, 3798, 10542, 631, 4875, 267, 1519, 971, 11599, 1568, 607, 968, 763, 21115, 600, 6100, 1452, 1568, 1831, 2139, 585, 519, 1857, 950, 519, 1007, 2817, 7467, 10741, 593, 476, 1556, 4873, 267, 476, 1708, 273, 563, 1432, 5949, 547, 11709, 717, 26710, 779, 1274, 1310, 646, 2759, 621, 1055, 888, 763, 1274, 729, 2016, 547, 513, 15777, 693, 513, 2156, 1492, 331, 267, 711, 513, 14382, 3482, 269, 1280, 513, 1279, 942, 267, 519, 7608, 1650, 729, 602, 8709, 717, 26710, 22064, 519, 26481, 16289, 720, 547, 513, 4807, 3957, 24981, 267, 513, 14382, 3482, 693, 519, 2156, 1492, 331, 8709, 717, 26710, 2505, 5034, 1247, 2713, 538, 1488, 956, 267, 538, 7013, 5333, 563, 12441, 8709, 717, 26710, 723, 1453, 888, 1607, 835, 779, 2653, 281, 1100, 267, 27673, 4769, 1406, 723, 1022, 1453, 563, 3963, 1705, 8709, 717, 26710, 1152, 6133, 835, 7206, 888, 18744, 835, 7206, 4421, 1282, 1010, 10715, 454, 309, 534, 717, 26710, 729, 2760, 4583, 607, 513, 18048, 1282, 1010, 10715, 543, 7683, 17388, 609, 6710, 269, 1261, 4421, 1152, 835, 7206, 1247, 646, 729, 9800, 281, 634, 4414, 966, 710, 12881, 799, 4682, 585, 476, 6110, 21473, 14369, 538, 19934, 5722, 3275, 1354, 1010, 2669, 269, 0, 3080, 540, 519, 1034, 1455, 3096, 3859, 1648, 814, 267, 568, 547, 946, 621, 585, 8654, 267, 581, 621, 16280, 610, 13964, 269, 634, 6007, 5056, 619, 666, 581, 9901, 1282, 519, 1554, 950, 972, 568, 7943, 543, 621, 666, 946, 519, 6740, 1648, 1282, 519, 3781, 942, 269, 9891, 1648, 666, 849, 581, 2808, 547, 5279, 9075, 1472, 707, 1753, 563, 1692, 616, 3859, 2281, 1031, 538, 1483, 1272, 888, 23530, 1648, 689, 25675, 2281, 568, 1031, 585, 5010, 1379, 5108, 267, 4155, 4191, 267, 26732, 267, 15408, 543, 538, 1082, 824, 3156, 269, 681, 5622, 1111, 641, 19216, 946, 3859, 1379, 547, 2047, 3002, 1216, 1510, 14291, 621, 547, 5201, 1101, 563, 1432, 616, 519, 1614, 3096, 540, 3859, 2281, 888, 308, 4513, 540, 9891, 7754, 1564, 2433, 1775, 9891, 8440, 616, 1031, 538, 513, 2647, 2039, 540, 11418, 3937, 269, 13797, 15571, 7641, 20794, 10473, 538, 6552, 6753, 946, 3859, 1591, 8440, 269, 25831, 634, 3859, 2281, 8440, 616, 15841, 593, 16887, 2966, 20916, 31241, 3591, 865, 602, 811, 3859, 1648, 568, 10071, 936, 621, 563, 1432, 568, 513, 3859, 1591, 2285, 922, 3096, 888, 23530, 2281, 267, 849, 1572, 25675, 2281, 267, 2047, 2981, 1648, 883, 5201, 689, 519, 3141, 269, 24997, 1648, 568, 3177, 676, 3859, 2281, 267, 543, 789, 616, 14463, 267, 11741, 543, 1970, 31720, 5199, 269, 769, 6552, 5054, 267, 3859, 2281, 1419, 5352, 5201, 267, 1379, 532, 6191, 2484, 689, 519, 14191, 5122, 17752, 563, 1432, 616, 3859, 2281, 543, 2328, 922, 3096, 888, 23530, 2281, 616, 1031, 547, 6460, 1769, 2707, 689, 519, 3141, 883, 5122, 1648, 269, 476, 273, 269, 9891, 2281, 616, 1031, 538, 1379, 11396, 547, 1683, 5201, 547, 1804, 2127, 563, 1432, 616, 519, 1614, 1292, 3096, 540, 3859, 2281, 888, 308, 4513, 540, 3859, 1591, 8470, 1107, 634, 3859, 1591, 666, 581, 1031, 538, 519, 1739, 281, 630, 272, 264, 1280, 5665, 8613, 17513, 543, 5925, 2256, 1392, 269, 630, 273, 264, 1280, 3246, 5201, 585, 8265, 8279, 269, 630, 274, 264, 538, 519, 616, 338, 1141, 1463, 3761, 540, 5201, 568, 2901, 711, 2009, 610, 1360, 14427, 610, 3112, 581, 3812, 676, 824, 1797, 563, 1432, 568, 3859, 1591, 2285, 930, 3096, 540, 3859, 1591, 1362, 476, 277, 888, 308, 4513, 281, 630, 272, 264, 589, 4015, 540, 3859, 2281, 568, 1031, 607, 513, 2707, 540, 1379, 585, 15408, 9250, 883, 2230, 269, 630, 273, 264, 769, 9678, 4025, 1141, 972, 568, 1100, 5201, 267, 3859, 2281, 3761, 1379, 547, 519, 8265, 8279, 543, 1216, 15450, 563, 1432, 568, 519, 3859, 1591, 12315, 1079, 3096, 540, 3859, 2281, 888, 288, 3859, 1591, 21810, 7943, 2047 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1696, 620, 1421, 454, 1001, 278, 282, 9149, 1696, 620, 1421, 454, 1708, 271, 282, 4880, 1084, 1696, 620, 1421, 454, 1001, 279, 282, 681, 773, 11738, 1299, 654, 773, 742, 518, 1074, 2676, 1001, 278, 282, 654, 773, 742, 518, 1074, 1696, 620, 1421, 454, 1001, 274, 1040, 3487, 540, 519, 1239, 593, 6568, 630, 11742, 476, 272, 264, 543, 593, 2618, 31752, 630, 11742, 476, 272, 547, 476, 274, 264, 538, 1453, 609, 513, 16275, 543, 8946, 1453, 729, 5892, 4080, 676, 31509, 11253, 541, 543, 1071, 548, 8046, 27210, 1001, 278, 264, 543, 4880, 1084, 543, 9164, 27210, 29248, 4331, 7726, 32666, 729, 2966, 547, 2268, 1762, 1453, 779, 26003, 545, 5615, 538, 3232, 1272, 630, 305, 773, 11738, 1696, 620, 1421, 454, 1001, 271, 1040, 898, 729, 15951, 676, 3237, 547, 5815, 519, 6708, 547, 799, 1142, 6221, 10630, 741, 1126, 779, 5615, 1282, 519, 2250, 1079, 3275, 630, 271, 815, 2760, 282, 476, 272, 815, 3006, 282, 476, 273, 815, 1419, 1070, 543, 621, 2882, 1614, 9408, 2297, 281, 28146, 6568, 630, 277, 3688, 282, 552, 3052, 1421, 968, 2691, 1776, 1126, 1835, 625, 267, 1250, 1126, 4991, 13347, 1932, 25257, 3007, 547, 4664, 630, 278, 3688, 282, 552, 3052, 1421, 968, 2691, 1776, 1126, 568, 14220, 267, 1250, 1126, 13515, 1010, 1378, 1404, 547, 4585, 25257, 543, 5294, 3469, 3527, 630, 277, 3688, 282, 552, 3052, 1421, 968, 2691, 1776, 1126, 6238, 547, 3956, 267, 1250, 1126, 13290, 547, 4313, 1864, 17017, 26158, 18378, 11007, 729, 7850, 2066, 942, 585, 28146, 6568, 630, 5780, 18016, 14668, 18016, 476, 271, 269, 4281, 1070, 3007, 547, 4664, 630, 7761, 18016, 14668, 18016, 476, 271, 269, 11025, 1070, 543, 5294, 3469, 3527, 630, 271, 269, 5780, 18016, 14668, 18016, 476, 271, 269, 10602, 282, 1294, 7305, 454, 273, 585, 519, 4835, 11007, 585, 782, 3800, 829, 942, 1448, 1040, 634, 4835, 2874, 4293, 941, 5266, 2539, 585, 28146, 6568, 693, 5384, 476, 274, 543, 5294, 3469, 3527, 693, 5384, 476, 275, 630, 10382, 815, 476, 271, 269, 5780, 264, 1813, 547, 2370, 13065, 538, 519, 18176, 540, 930, 3688, 630, 328, 4318, 1421, 513, 2282, 22286, 3233, 1198, 585, 28146, 6568, 543, 513, 2282, 268, 576, 4979, 1198, 585, 5294, 3469, 3527, 1916, 763, 7553, 8622, 8540, 9408, 1446, 540, 519, 454, 10387, 10056, 20309, 7726, 32666, 729, 1031, 547, 2268, 1453, 779, 2702, 547, 11760, 741, 3237, 685, 4664, 630, 305, 773, 11738, 1696, 620, 1421, 454, 1001, 271, 1040, 14268, 15951, 593, 513, 476, 276, 15304, 4336, 630, 272, 815, 3592, 2760, 282, 476, 276, 815, 3592, 2141, 264, 519, 6708, 547, 799, 741, 1453, 1223, 1174, 741, 4664, 630, 277, 3688, 282, 552, 3052, 1421, 968, 9989, 707, 1126, 1174, 950, 596, 616, 14220, 9495, 1040, 18378, 11007, 729, 1434, 2066, 942, 630, 271, 269, 3583, 18016, 14668, 18016, 476, 271, 269, 4281, 1916, 15900, 19974, 22802, 268, 275, 630, 4488, 296, 268, 275, 264, 568, 513, 4922, 268, 4310, 18102, 15951, 676, 3237, 585, 12570, 26616, 543, 18926, 15015, 540, 10076, 15136, 630, 275, 628, 1196, 5919, 32663, 268, 4353, 264, 2589, 630, 8967, 571, 325, 7219, 1696, 620, 1421, 454, 1220, 273, 1040, 898, 666, 581, 20639, 2687, 547, 519, 9584, 2759, 11325, 630, 323, 747, 582, 10535, 264, 610, 2687, 547, 519, 10835, 10335, 630, 517, 513, 476, 275, 15304, 4336, 281, 476, 271, 815, 2760, 282, 476, 274, 815, 1360, 1419, 1040, 1284, 1031, 519, 10335, 8464, 547, 2992, 519, 10335, 540, 4835, 1944, 543, 5007, 1944, 2589, 269, 1280, 7893, 519, 1377, 540, 4835, 1944, 5615, 267, 649, 1031, 519, 9408, 2297, 585, 2101, 19591, 4524, 630, 277, 3688, 264, 543, 4160, 4524, 630, 1691, 3688, 267, 1519, 20902, 4160, 4524, 267, 9668, 4160, 4524, 267, 543, 1514, 4160, 4524, 1040, 1280, 7893, 519, 1377, 540, 5007, 1944, 5615, 267, 649, 1031, 519, 9408, 2297, 585, 9263, 4655, 630, 1015, 3688, 1070, 11685, 531, 1219, 5050, 4524, 630, 279, 3688, 1070, 543, 2932, 4524, 630, 1015, 3688, 1040, 634, 10335, 8464, 540, 1142, 9408, 1446, 941, 2040, 4364, 547, 5173, 3803, 8464, 585, 4835, 1944, 270, 1410, 4156, 1944, 5615, 269, 18378, 11007, 729, 1434, 2066, 942, 585, 4835, 1944, 5615, 630, 271, 269, 4281, 18016, 14668, 18016, 476, 271, 269, 6434, 1070, 543, 585, 5007, 1944, 5615, 630, 271, 269, 9262, 18016, 14668, 18016, 476, 271, 269, 10844, 1040, 2755, 519, 454, 4488, 296, 268, 275, 729, 2966, 585, 1453, 9907, 1614, 547, 3670, 1296, 267, 922, 10727, 538, 12570, 1453, 1063, 835, 543, 1614, 1296, 2025, 814, 1044, 3254, 547, 581, 1434, 630, 324, 3052, 1421, 32762, 1696, 620, 1421, 454, 1220, 275, 282, 9149, 1696, 620, 1421, 454, 1708, 271, 282, 31474, 345, 1696, 620, 1421, 454, 1001, 275, 282, 4880, 1084, 1696, 620, 1421, 454, 1001, 279, 1040, 1280, 7664, 5301, 267, 570, 8464, 540, 519, 2589, 616, 4080, 538, 7305, 454, 26046, 543, 11778, 454, 21809, 6750, 9382, 941, 5340, 1210, 590, 31723, 4528, 476, 1839, 630, 306, 31723, 5549, 1421, 9628, 267, 14889, 267, 7330, 1040, 28977, 941, 1500, 538, 681, 4528, 476, 274, 269, 277, 269, 274, 27210, 294, 326, 7120, 273, 10189, 1040, 25392, 519, 1079, 7400, 2497, 538, 938, 1239, 267, 1775, 4318, 1421, 942, 2798, 630, 24038, 476, 272, 264, 29005, 1369, 5171, 630, 24038, 476, 273, 1070, 649, 1031, 5276, 6404, 3631, 630, 299, 12613, 338, 264, 609, 5021, 10171, 16759, 547, 5659, 519, 19976, 1239, 269, 700, 12613, 338, 1450, 519, 21341, 1369, 519, 1239, 547, 581, 20039, 585, 269, 589, 27667, 4756, 729, 9833, 607, 2348, 513, 1713, 9295, 547, 519, 2203, 950, 922, 476, 4817, 260, 6015, 8884, 630, 4817, 260, 16275, 264, 1705, 711, 1331, 519, 1871, 4642, 563, 29309, 532, 18880, 543, 13038, 1955, 1584, 566, 454, 4263, 5384, 476, 272, 267, 7508, 8464, 941, 1336, 593, 454, 29248, 4331, 7726, 32666, 630, 271, 16275, 267, 476, 275, 8946, 13211, 10387, 10056, 20309, 7726, 32666, 630, 271, 16275, 267, 476, 273, 8946, 13211, 4488, 296, 268, 275, 630, 275, 16275, 267, 476, 1626, 8946, 1070, 5386, 5179, 1646, 630, 1626, 16275, 267, 476, 2767, 8946, 1070, 15366, 2069, 1377, 630, 1240, 16275, 267, 476, 4343, 8946, 1070, 543, 2121, 7622, 4747, 630, 4029, 16275, 267, 476, 4817, 8946, 1040, 634, 9741, 779, 14330, 2752, 1449, 4951, 602, 1239, 693, 5384, 476, 272, 941, 7508, 4625, 693, 4351, 267, 6543, 485, 454, 273, 815, 476, 736, 267, 280, 4649, 2676, 4206, 815, 476, 2641, 267, 4962, 275, 2676, 335, 815, 476, 271, 269, 6924, 275, 269, 1677, 6023, 519, 7508, 1239, 693, 5384, 476, 272, 267, 649, 1031, 2789, 791, 20706, 630, 11085, 1040, 634, 24696, 4480, 25361, 538, 7508, 1239, 2687, 547, 16045, 4162, 543, 1894, 4767, 538, 519, 1239, 609, 824, 5171, 630, 288, 345, 584, 1696, 620, 1421, 454, 1001, 272, 282, 5576, 29195, 1299, 24023, 2676, 1220, 273, 282, 8709, 717, 1074, 601, 1696, 620, 1421, 454, 1001, 280, 1070, 3976, 2810, 8579, 1379, 543, 4227, 12886, 3361, 676, 7508, 1239, 630, 291, 1180, 619, 1696, 620, 1421, 454, 1220, 277, 282, 4880, 1084, 1696, 620, 1421, 454, 1001, 278, 1040, 634, 1739, 4632, 941, 3769, 585, 519, 16759, 540, 7508, 2418, 281, 2085, 267, 4008, 267, 6217, 4567, 267, 5386, 5179, 1646, 267, 15366, 2069, 1377, 267, 2121, 7622, 4747, 267, 543, 4093, 593, 519, 1614, 2385, 5359, 269, 14210, 791, 20706, 941, 5340, 630, 306, 614, 928, 1696, 620, 1421, 454, 1220, 280, 1070, 543, 7535, 539, 2164, 616, 4080, 563, 18744, 7508, 1239, 693, 5384, 476, 272, 941, 791, 3176, 1317, 700, 12613, 338, 666, 6023, 7508, 1246, 5346, 1239, 2798, 540, 513, 16045, 607, 1279, 607, 2418, 616, 7508, 630, 14814, 569, 264, 693, 4351, 630, 23562, 7416, 1696, 620, 1421, 454, 1001, 274, 1040, 4475, 267, 5171, 945, 1185, 7508, 1239, 693, 5384, 476, 273, 267, 476, 274, 267, 610, 476, 275, 941, 1869, 3769, 538, 519, 9382, 269, 31932, 1239, 941, 1336, 693, 5384, 476, 273, 630, 1839, 16275, 543, 476, 13932, 8946, 1453, 1070, 5384, 476, 274, 630, 1839, 16275, 543, 476, 12293, 8946, 1453, 1070, 543, 5384, 476, 275, 630, 4510, 16275, 543, 476, 14225, 8946, 1453, 1040, 1280, 476, 4343, 1453, 609, 513, 16275, 630, 7918, 8472, 543, 476, 10844, 8946, 1453, 630, 4097, 15992, 1239, 941, 2139, 585, 693, 2547, 1614, 942, 2798, 269, 634, 9741, 779, 14330, 2752, 1449, 4951, 602, 519, 2418, 2066, 519, 2185, 942, 2798, 941, 711, 7508, 4625, 693, 4351, 27210, 335, 2999, 476, 271, 269, 9826, 1040, 8616, 267, 519, 7508, 1145, 540, 519, 2418, 729, 8200, 593, 4767, 4162, 540, 519, 5171, 267, 1775, 4318, 1421, 942, 2798, 540, 7589, 543, 5868, 269, 19893, 1510, 5384, 476, 273, 1239, 849, 1705, 711, 723, 1239, 689, 5384, 476, 274, 543, 5384, 476, 275, 282, 543, 519, 6749, 13050, 729, 811, 4749, 4767, 538, 519, 8946, 1895, 630, 5408, 7305, 454, 306, 274, 585, 606, 7650, 540, 519, 2179, 540, 7508, 1239, 1040, 901, 729, 1317, 1453, 609, 513, 16275, 10272, 10506, 610, 13508, 2533, 5781, 543, 1223, 581, 4553, 909, 972, 269, 9717, 602, 519, 7508, 1145, 1223, 7361, 581, 6045, 676, 4767, 1239, 267, 649, 10924, 602, 2418, 941, 7508, 693, 4351, 543, 8399, 539, 609, 700, 12613, 338, 269, 5753, 609, 543, 1510, 7508, 1239, 2798, 1705, 711, 8428, 538, 2085, 693, 5384, 476, 272, 2676, 339, 815, 910, 272, 269, 2918, 2676, 335, 815, 476, 271, 269, 21172, 267, 4008, 3892, 267, 6543, 485, 454, 273, 815, 476, 272, 269, 3066, 2676, 335, 815, 476, 271, 269, 16348, 267, 5386, 5179, 1646, 2676, 339, 815, 910, 271, 269, 4200, 2676, 335, 815, 476, 271, 269, 27844, 267, 543, 15366, 2069, 1377, 2676, 339, 815, 910, 272, 269, 1626, 2676, 335, 815, 476, 271, 269, 26316, 269, 8616, 1453, 945, 15548, 538, 782, 6329, 1185, 2362, 2121, 7622, 4747, 982, 1346, 609, 7508, 1239, 2798, 2676, 339, 815, 910, 273, 269, 6795, 2676, 335, 815, 476, 271, 269, 18089, 563, 273, 2982, 519, 2698, 8464, 543, 3044, 24017, 585, 519, 4632, 829, 1895, 693, 1142, 942, 1448, 543, 519, 4830, 454, 339, 3613, 520, 2524, 585, 1895, 6476, 269, 9122, 593, 2385, 5359, 267, 519, 1453, 609, 513, 16275, 17820, 7864, 5294, 3469, 3527, 982, 741, 8946, 9905, 693, 5384, 476, 274, 2676, 339, 815, 476, 272, 269, 4200, 2676, 335, 815, 476, 271, 269, 271, 5325, 267, 543, 5384, 476, 275, 2676, 339, 815, 476, 273, 269, 6349, 2676, 335, 815, 476, 271, 269, 271, 4510, 269, 3143, 824, 1895, 3604, 941, 1336, 269, 6423, 23959, 454, 306, 276, 585, 21374, 1063, 1353, 4632, 543, 1063, 1353, 4632, 543, 6217, 5829, 2188, 269, 8431, 563, 306, 272, 2982, 8642, 11269, 540, 1367, 7648, 693, 519, 2185, 942, 2798, 563, 8867, 12069, 543, 25833, 3004, 915, 1559, 540, 5927, 987, 545, 10341, 454, 309, 807, 513, 6101, 2203, 1922, 9231, 5650, 540, 700, 12613, 267, 5051, 811, 1950, 3631, 941, 19034, 547, 519, 1239, 269, 1635, 1210, 519, 2698, 6060, 540, 1142, 26003, 545, 5578, 267, 6606, 267, 607, 519, 8200, 4756, 267, 649, 3323, 676, 17501, 606, 14955, 6463, 1797, 2203, 799, 3769, 1152, 513, 6378, 543, 4351, 18448, 607, 513, 15977, 269, 3973, 267, 649, 3769, 2085, 630, 1417, 1229, 264, 547, 519, 2203, 543, 8947, 1079, 3466, 540, 1689, 281, 5276, 543, 13392, 269, 589, 4351, 1606, 331, 2100, 1198, 585, 2085, 543, 513, 6378, 1198, 585, 4008, 630, 271, 815, 8695, 282, 476, 272, 815, 6690, 264, 941, 3773, 547, 519, 1655, 2085, 2203, 267, 799, 1705, 711, 2087, 519, 2203, 13352, 543, 3976, 616, 711, 4080, 1934, 269, 7053, 267, 1895, 15376, 630, 271, 815, 8946, 282, 476, 272, 815, 16275, 264, 543, 922, 5872, 609, 2085, 941, 3773, 267, 547, 4983, 952, 972, 941, 1895, 3604, 538, 519, 2949, 1377, 540, 1142, 26003, 545, 5578, 543, 922, 11095, 1576, 269, 634, 910, 273, 2845, 10171, 11196, 273, 454, 17247, 264, 2418, 941, 1031, 547, 5635, 1063, 519, 2203, 13352, 630, 1492, 10518, 532, 5650, 6700, 676, 8381, 543, 9164, 27210, 1220, 279, 264, 729, 1031, 547, 5833, 519, 910, 273, 454, 17247, 2418, 1310, 2789, 791, 20706, 1040, 634, 10171, 5223, 1449, 729, 5342, 547, 1449, 2436, 519, 1821, 4800, 538, 519, 910, 273 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 1809, 585, 513, 16027, 945, 814, 7166, 606, 17707, 607, 513, 2063, 18992, 585, 986, 4575, 7031, 267, 972, 568, 513, 2620, 18354, 538, 519, 2669, 540, 713, 12926, 10723, 3662, 269, 3367, 1018, 968, 3080, 5682, 14136, 892, 5206, 827, 938, 5698, 609, 5741, 21060, 18479, 11244, 950, 649, 1101, 2968, 3238, 538, 10970, 11868, 5274, 18479, 11244, 18366, 563, 13425, 856, 1018, 649, 2461, 3257, 827, 621, 1631, 2336, 5804, 8228, 2361, 10274, 585, 27142, 602, 13599, 827, 2713, 538, 2673, 20453, 609, 3552, 19246, 547, 4687, 18479, 11244, 27919, 609, 1453, 998, 1650, 543, 1404, 547, 938, 14262, 1007, 1788, 968, 295, 2292, 289, 4315, 543, 21060, 19029, 5608, 649, 2461, 13991, 547, 13346, 519, 2250, 4904, 609, 4655, 547, 513, 2104, 540, 30398, 269, 6744, 856, 513, 2370, 3787, 540, 3776, 4518, 281, 4179, 2517, 24711, 1993, 1146, 21983, 3820, 270, 712, 22086, 10774, 582, 270, 543, 4179, 2517, 24711, 1993, 1146, 21983, 3820, 270, 712, 22086, 270, 25279, 11244, 2000, 913, 32551, 543, 952, 621, 26182, 596, 3368, 607, 1454, 607, 621, 26182, 721, 267, 1287, 519, 1158, 1175, 21266, 1540, 513, 2370, 3787, 811, 547, 519, 1434, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 276, 267, 277, 267, 278, 267, 279, 267, 280, 267, 1015, 6540, 14310, 815, 1592, 9852, 777, 10857, 10033, 1535, 281, 1535, 1262, 273, 267, 1496, 272, 267, 273, 267, 274, 267, 275, 28413, 2745, 31114, 264, 0, 258, 3503, 513, 1982, 799, 3217, 476, 273, 9704, 267, 2473, 267, 312, 607, 3403, 543, 12958, 513, 476, 273, 8820, 5044, 269, 3097, 258, 634, 3693, 1871, 538, 519, 1775, 6253, 4737, 543, 795, 6253, 6241, 540, 519, 5044, 1058, 581, 1775, 265, 329, 563, 258, 8074, 281, 1775, 284, 271, 267, 272, 907, 267, 2473, 268, 272, 282, 795, 284, 271, 267, 272, 267, 382, 350, 30692, 312, 268, 272, 563, 258, 7151, 454, 258, 14597, 519, 1739, 11378, 616, 2016, 547, 519, 1982, 912, 258, 476, 274, 267, 276, 454, 258, 3973, 267, 519, 3977, 540, 519, 1982, 1058, 581, 912, 258, 20886, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 3910, 1496, 271, 267, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 3910, 1496, 271, 267, 476, 273, 267, 476, 275, 267, 476, 277, 267, 476, 279, 14963, 8528, 343, 267, 586, 815, 4786, 17301, 267, 3403, 2891, 11767, 2473, 1299, 962, 281, 834, 1040, 20889, 263, 12887, 4917, 2745, 2891, 343, 281, 4939, 323, 257, 4939, 1535, 994, 2745, 2891, 344, 281, 4939, 323, 257, 4939, 586, 2020, 258, 3355, 1125, 8900, 5044, 540, 2016, 10155, 1535, 11971, 454, 1551, 815, 11713, 314, 1551, 6910, 8443, 8079, 585, 524, 538, 2039, 3287, 264, 6540, 2745, 2891, 30467, 10155, 24333, 2855, 2020, 1721, 1775, 538, 2039, 3287, 2187, 825, 585, 795, 538, 2039, 12169, 2187, 1038, 2855, 5157, 4940, 6572, 9230, 328, 266, 272, 31618, 329, 266, 272, 11723, 2745, 19906, 264, 0, 3698, 2530, 318, 528, 318, 16118, 263, 514, 2492, 267, 6364, 2187, 825, 4747, 23544, 815, 2040, 263, 514, 2492, 994, 825, 6364, 23544, 815, 2040, 263, 719, 2492, 2020, 825, 952, 4747, 23544, 3436, 6364, 23544, 912, 1038, 2132, 834, 266, 257, 1341, 1193, 263, 514, 2492, 23544, 910, 6364, 23544, 994, 825, 952, 4747, 23544, 2999, 6364, 23544, 912, 1038, 2132, 29038, 257, 1341, 1193, 263, 719, 2492, 23544, 910, 4747, 23544, 994, 825, 952, 4747, 23544, 2652, 6364, 23544, 912, 1038, 2132, 834, 284, 271, 5016, 454, 3698, 1292, 10031, 825, 1820, 10857, 1601, 318, 528, 318, 16118, 8443, 1015, 3910, 1496, 1015, 28413, 825, 1820, 10857, 1601, 318, 528, 318, 16118, 8443, 1015, 3910, 1496, 736, 267, 476, 1789, 28413, 825, 1820, 10857, 1601, 318, 528, 318, 16118, 8443, 272, 267, 476, 273, 267, 476, 274, 3910, 1496, 274, 8079, 2020, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1292, 4590 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 606, 7778, 269, 4014, 519, 4901, 4806, 729, 519, 2343, 538, 519, 1788, 13460, 267, 19310, 2787, 3270, 540, 5872, 7153, 950, 972, 729, 930, 2186, 540, 4655, 1063, 5380, 269, 898, 568, 2009, 602, 3610, 12212, 2887, 1394, 593, 811, 2757, 2081, 540, 15025, 950, 6963, 2853, 616, 1007, 610, 14542, 547, 873, 269, 1306, 6963, 2853, 2968, 811, 7839, 267, 3173, 3459, 547, 5469, 22195, 1063, 1053, 1510, 3610, 1459, 630, 324, 3052, 1421, 670, 619, 327, 330, 578, 6308, 1299, 5576, 8705, 345, 267, 476, 1960, 280, 1040, 769, 519, 715, 281, 15575, 337, 4259, 689, 799, 1250, 1239, 14340, 267, 972, 616, 1082, 1806, 540, 519, 1453, 543, 803, 1071, 268, 24554, 532, 2093, 602, 3112, 581, 11911, 547, 1022, 835, 1268, 4805, 269, 3690, 18587, 543, 3381, 19827, 540, 891, 16395, 1106, 519, 1257, 585, 2079, 538, 519, 2164, 11271, 540, 713, 12031, 630, 2419, 9532, 476, 275, 267, 476, 276, 543, 476, 277, 1040, 476, 6812, 476, 273, 269, 275, 10390, 634, 4222, 540, 513, 1167, 27641, 5626, 1935, 547, 519, 1620, 540, 1914, 25959, 3012, 673, 8155, 568, 538, 519, 17602, 775, 1063, 4974, 875, 519, 3157, 676, 799, 789, 616, 7858, 7007, 1599, 607, 1514, 3527, 689, 1369, 513, 25349, 5943, 630, 21574, 6202, 267, 476, 1220, 274, 1040, 898, 2636, 513, 1445, 593, 519, 2495, 540, 8155, 538, 6128, 607, 1453, 4020, 543, 7259, 547, 602, 2495, 269, 901, 1826, 540, 1935, 568, 7508, 689, 519, 1382, 3332, 543, 3976, 7472, 513, 2631, 540, 14413, 638, 2329, 3823, 938, 1620, 540, 519, 1762, 1126, 779, 9295, 547, 6310, 2853, 269, 3733, 1353, 9607, 602, 14413, 638, 2329, 269, 769, 713, 1353, 267, 594, 2015, 519, 2259, 540, 6128, 607, 11407, 543, 519, 1995, 540, 14374, 2861, 1565, 607, 13883, 1369, 513, 1880, 4259, 281, 519, 715, 281, 15575, 337, 6128, 1382, 1353, 1895, 269, 5457, 532, 519, 10054, 3297, 17801, 558, 1385, 1108, 267, 4205, 1934, 616, 6956, 607, 851, 540, 513, 3152, 1514, 3510, 267, 711, 1175, 519, 1599, 540, 513, 10085, 19631, 6292, 630, 294, 4752, 2006, 267, 476, 1220, 272, 1040, 1306, 1167, 27641, 5626, 19767, 267, 649, 4612, 1759, 593, 519, 12170, 2963, 540, 519, 9275, 5872, 543, 1022, 5885, 2963, 602, 5171, 4956, 569, 7259, 547, 630, 10472, 1522, 1331, 17267, 610, 12400, 1040, 4475, 267, 519, 3381, 19827, 540, 519, 2898, 1895, 616, 2808, 519, 17046, 2707, 540, 6392, 3823, 519, 19326, 4767, 269, 1717, 267, 519, 1770, 540, 2079, 538, 1250, 1353, 568, 519, 11407, 267, 711, 519, 1126, 269, 898, 568, 4502, 4304, 1934, 1586, 519, 4644, 540, 4358, 609, 519, 11407, 2864, 982, 519, 5171, 630, 10955, 2072, 1299, 25260, 267, 476, 1220, 276, 1040, 5494, 6847, 3587, 519, 1843, 540, 1353, 676, 6313, 875, 621, 568, 1031, 676, 10529, 547, 1685, 1179, 16666, 1514, 3527, 267, 899, 519, 12972, 5018, 1657, 269, 634, 2963, 585, 713, 6422, 1184, 3823, 1914, 25959, 3012, 673, 8155, 1131, 1287, 2874, 540, 6029, 950, 543, 875, 2911, 610, 1801, 547, 8155, 269, 4475, 267, 621, 568, 711, 2556, 547, 917, 519, 4282, 540, 519, 5171, 610, 1179, 3634, 3823, 741, 6788, 585, 6310, 2259, 610, 519, 476, 6795, 4070, 540, 1702, 269, 634, 1152, 2963, 602, 568, 2877, 547, 4612, 17187, 7575, 568, 602, 799, 568, 2139, 547, 519, 5171, 2933, 538, 1483, 6066, 269, 901, 568, 711, 547, 2161, 602, 972, 568, 1152, 835, 7664, 602, 568, 4570, 585, 513, 1880, 5872, 269, 13038, 12496, 616, 2009, 267, 1759, 593, 519, 1382, 2243, 1373, 2808, 267, 519, 19767, 2078, 547, 519, 2146, 1373, 6594, 543, 1585, 2686, 610, 3140, 10080, 540, 1022, 540, 519, 5171, 269, 901, 729, 13890, 607, 513, 12550, 5133, 540, 519, 1071, 268, 18586, 540, 2495, 269, 634, 11407, 25107, 1909, 3340, 2921, 513, 2990, 5219, 547, 607, 968, 11907, 5991, 792, 892, 630, 4263, 330, 8657, 267, 21411, 3385, 1299, 307, 531, 3240, 267, 476, 1001, 272, 264, 865, 602, 1152, 1346, 2934, 540, 4282, 1500, 4143, 676, 519, 5171, 616, 2808, 269, 769, 1603, 909, 1250, 2079, 267, 594, 786, 2272, 585, 519, 6228, 540, 824, 2009, 12496, 676, 3246, 2898, 12415, 540, 1098, 8282, 9275, 5872, 538, 519, 1106, 540, 1806, 269, 1306, 519, 2079, 23131, 267, 594, 786, 1586, 1331, 1507, 12415, 1369, 519, 1257, 547, 9414, 2798, 269, 901, 568, 835, 1259, 602, 594, 1376, 609, 519, 11407, 2864, 982, 519, 5171, 269, 898, 3413, 3581, 14595, 12496, 689, 3988, 543, 8309, 547, 519, 2186, 540, 5188, 713, 2079, 568, 5497, 547, 28596, 269, 4438, 519, 715, 281, 15575, 337, 6128, 1382, 1895, 267, 519, 4305, 540, 519, 1453, 729, 547, 1404, 269, 3733, 1909, 607, 513, 11001, 729, 547, 2721, 856, 519, 6128, 538, 741, 1404, 269, 1306, 938, 5107, 7960, 267, 594, 4280, 2055, 610, 968, 2889, 22106, 725, 892, 630, 324, 3052, 1421, 1018, 798, 1453, 917, 827, 4642, 286, 2107, 875, 666, 596, 1397, 803, 2979, 609, 707, 1560, 24047, 547, 799, 789, 15527, 538, 2789, 2081, 269, 1452, 3638, 4205, 1106, 519, 4493, 540, 2079, 538, 519, 12377, 11271, 540, 519, 12031, 269, 1306, 7855, 543, 3872, 3173, 267, 649, 798, 938, 1655, 960, 950, 649, 7500, 689, 513, 2990, 540, 1373, 5483, 269, 4475, 594, 8044, 602, 609, 513, 17105, 6284, 540, 1762, 1453, 779, 4390, 547, 3565, 547, 4928, 2259, 267, 649, 786, 581, 1732, 9280, 547, 11760, 543, 4497, 1142, 2875, 269, 476, 2568, 3848, 476, 274, 281, 6396, 1108, 12824, 685, 2984, 616, 2938, 607, 4448, 547, 519, 1158, 519, 1259, 9660, 616, 1644, 547, 938, 4703, 281, 789, 616, 1480, 13402, 543, 1058, 3976, 711, 581, 11821, 609, 1018, 789, 616, 1152, 9277, 547, 968, 16225, 31865, 789, 723, 1082, 8747, 267, 543, 4352, 711, 3388, 4422, 267, 811, 982, 835, 540, 891, 8747, 1131, 2356, 1780, 607, 513, 1434, 6474, 282, 543, 6368, 267, 581, 519, 6474, 607, 1434, 607, 621, 949, 267, 9039, 540, 519, 8747, 1058, 581, 2938, 607, 519, 968, 738, 1493, 835, 1848, 901, 2022, 19640, 5075, 30283, 27453, 1279, 2245, 540, 8156, 1382, 607, 519, 2534, 540, 25643, 519, 1158, 779, 1378, 21981, 269, 630, 306, 325, 731, 267, 476, 1001, 273, 320, 267, 533, 269, 476, 278, 264, 634, 3483, 540, 519, 1699, 1353, 568, 547, 3561, 875, 1762, 1453, 7119, 538, 519, 1167, 27641, 1646, 540, 1914, 25959, 3012, 673, 8155, 269, 1717, 267, 519, 12319, 3812, 1058, 711, 581, 6956, 607, 513, 12001, 6041, 540, 4641, 267, 855, 2864, 607, 513, 4020, 540, 9553, 269, 769, 713, 1353, 267, 519, 1453, 779, 7589, 568, 7152, 998, 513, 476, 274, 9912, 1184, 540, 11407, 2079, 540, 31286, 1759, 593, 3381, 1239, 5892, 6394, 1282, 513, 1353, 602, 5916, 17801, 2762, 543, 24099, 12319, 630, 18250, 299, 749, 534, 267, 476, 1001, 271, 1040, 3962, 1900, 540, 2079, 568, 2966, 547, 2626, 835, 2460, 540, 519, 1382, 2243, 281, 1215, 798, 1762, 1453, 7119, 538, 519, 19908, 540, 1914, 25959, 3012, 673, 8155, 538, 14374, 2861, 5468, 286, 769, 3848, 476, 272, 540, 713, 12031, 630, 4089, 476, 272, 269, 274, 264, 594, 13890, 519, 1382, 1374, 540, 543, 519, 1239, 6383, 1282, 519, 715, 281, 15575, 337, 594, 543, 4083, 2090, 269, 901, 3769, 3877, 827, 1312, 519, 4259, 543, 519, 5171, 269, 4475, 267, 538, 713, 3184, 594, 1445, 593, 519, 1382, 1374, 540, 519, 1699, 1353, 799, 568, 6281, 1239, 2079, 593, 5892, 6394, 3381, 19827, 269, 901, 3184, 14592, 519, 1382, 1935, 3144, 267, 519, 1239, 6383, 543, 930, 27696, 10054, 3823, 519, 3157, 540, 16606, 543, 519, 4259, 269, 1452, 6810, 1683, 930, 1469, 3823, 875, 5683, 2152, 723, 1044, 9619, 543, 9096, 609, 513, 5758, 540, 519, 1382, 12191, 269, 476, 8618, 476, 274, 269, 272, 634, 1382, 1374, 634, 2243, 594, 993, 5461, 538, 3695, 20217, 513, 1445, 593, 2170, 1308, 3157, 543, 4061, 5267, 513, 12007, 4612, 633, 1935, 269, 2755, 519, 7811, 5943, 602, 28279, 1250, 1353, 568, 1167, 27641, 6530, 630, 10955, 2072, 1299, 25260, 267, 476, 1960, 273, 1070, 594, 786, 2721, 689, 7222, 960, 538, 11407, 2079, 630, 290, 15330, 517, 267, 476, 1220, 272, 264, 538, 1931, 547, 9414, 519, 1167, 27641, 2994, 1762, 1453, 946, 950, 789, 7119, 538, 519, 19908, 540, 1914, 25959, 3012, 673, 8155, 269, 769, 3848, 476, 273, 267, 594, 13890, 513, 2990, 1369, 799, 6128, 568, 6956, 547, 581, 513, 11407, 543, 1565, 6128, 568, 827, 7589, 538, 602, 11407, 269, 21637, 20218, 4928, 2853, 5000, 602, 7589, 543, 20741, 513, 1880, 4999, 540, 17185, 267, 20772, 543, 5698, 269, 19556, 16395, 799, 8451, 1287, 616, 6462, 676, 519, 3144, 23829, 6879, 1563, 1620, 540, 1914, 25959, 3012, 673, 8155, 267, 799, 3221, 1218, 4159, 547, 1142, 824, 998, 519, 2081, 789, 4020, 741, 1378, 7589, 269, 4475, 267, 538, 1931, 547, 1683, 2963, 538, 2626, 547, 1250, 1382, 2243, 267, 621, 568, 10257, 547, 5659, 519, 11407, 540, 1514, 4205, 1369, 606, 14374, 2861, 6128, 4259, 585, 1762, 1453, 269, 901, 12191, 729, 5697, 585, 1079, 4128, 269, 3689, 267, 11407, 2079, 593, 6923, 9648, 5872, 2636, 6609, 540, 3344, 540, 2792, 602, 3335, 1205, 3144, 585, 11292, 267, 971, 607, 2490, 1374, 630, 306, 3832, 6921, 4752, 267, 476, 1220, 278, 1070, 6863, 610, 512, 659, 527, 6876, 630, 290, 15330, 517, 267, 476, 1220, 272, 1040, 1306, 645, 879, 619, 26709, 630, 1960, 274, 264, 23403, 267, 519, 4295, 6286, 540, 4928, 8155, 2291, 693, 519, 1558, 1446, 767, 543, 8451, 689, 9940, 1565, 281, 968, 763, 4295, 540, 1018, 568, 4121, 998, 7589, 568, 950, 547, 798, 1018, 543, 875, 547, 798, 621, 892, 630, 335, 269, 476, 275, 1040, 634, 1360, 1184, 540, 556, 2305, 602, 2636, 5872, 547, 1599, 607, 12347, 607, 621, 1281, 14906, 619, 519, 1367, 3157, 540, 2792, 15865, 630, 310, 10152, 267, 476, 1960, 279, 1040, 898, 568, 519, 1360, 3144, 16519, 268, 7830, 11292, 1145, 540, 1914, 25959, 3012, 673, 8155, 602, 7472, 741, 2170, 1308, 1379, 269, 4475, 267, 11407, 2079, 32215, 338, 519, 10924, 543, 2488, 513, 1259, 540, 25643, 3157, 269, 5822, 267, 607, 513, 12191, 11407, 2079, 666, 5031, 519, 4390, 585, 1453, 779, 7418, 547, 519, 19908, 540, 4928, 8155, 676, 2519, 593, 1018, 9275, 11407, 1522, 9585, 585, 873, 630, 290, 15330, 517, 267, 476, 1220, 272, 1040, 769, 1880, 267, 519, 17720, 3919, 540, 2911, 547, 7580, 7475, 6585, 1390, 9153, 1934, 269, 18623, 616, 1175, 4098, 547, 5431, 1762, 1453, 779, 4390, 547, 18783, 4539, 547, 875, 1866, 4309, 543, 949, 4431, 547, 741, 7418, 630, 306, 32752, 1299, 6154, 17507, 267, 476, 1960, 279, 1040, 1879, 594, 2328, 827, 8155, 1373, 18611, 1282, 1514, 5872, 267, 594, 993, 13288, 547, 891, 5817, 1167, 27641, 2994, 3823, 20310, 1866, 610, 28487, 532, 1489, 585, 3283, 2990, 630, 10955, 2072, 1299, 25260, 267, 476, 1960, 273, 1040, 4935, 594, 8044, 602, 1210, 11407, 2079, 593, 13973, 687, 540, 6923, 9648, 9275, 4205, 6592, 538, 14374, 2861, 6128, 5468, 786, 1312, 1683, 4030, 3823, 1453, 779, 7418, 547, 519, 1646, 540, 1914, 25959, 3012, 673, 8155, 543, 1683, 513, 1797, 547, 4766, 538, 1469, 519, 1167, 27641, 2994, 789, 946, 269, 1548, 568, 2877, 568, 2298, 1239, 602, 568, 849, 2347, 269, 1635, 2298, 594, 3277, 547, 3381, 1239, 602, 1131, 4061, 1489, 16606, 540, 6190, 10409, 1469, 269, 1635, 2347, 594, 3277, 547, 1519, 2614, 4205, 936, 513, 1974, 540, 942, 547, 1683, 1806, 540, 519, 3157, 3238, 269, 769, 8791, 476, 272, 269, 279, 267, 594, 4330, 1585, 3344, 540, 519, 1239, 6383, 1282, 519, 2947, 3923, 715, 281, 15575, 337, 1353, 269, 4438, 1250, 10927, 1353, 17440, 267, 594, 5697, 1896, 4205, 689, 519, 2698, 476, 1691, 3108, 540, 2756, 582, 1901, 543, 1098, 8282, 873, 538, 1931, 547, 1450, 513, 811, 2143, 11407, 610, 267, 4481, 267, 6643, 2079, 269, 898, 729, 1282, 713, 942, 602, 594, 3459, 547, 5431, 519, 1871, 540, 519, 1239, 594, 1185, 6394, 267, 2523, 922, 17381, 3823, 1126, 3562, 30512, 543, 1126, 3562, 14194, 738, 5872, 269, 1280, 519, 5301, 540, 713, 1353, 267, 5473, 606, 14374, 2861, 1895, 4259, 267, 594, 3970, 1250, 476, 8287, 946, 540, 519, 1239, 547, 519, 715, 281, 15575, 337, 4083, 6128, 1382, 1895 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9246, 30735, 338, 269, 2274, 662, 795, 26818, 743, 657, 4486, 781, 960, 9246, 30735, 540, 519, 1480, 9997, 814, 936, 476, 1321, 1296, 2220, 8215, 609, 23939, 9788, 1035, 787, 331, 923, 538, 29656, 2143, 18116, 540, 17184, 4778, 269, 12266, 9246, 30735, 338, 616, 1224, 2901, 538, 9587, 689, 1283, 547, 5377, 610, 538, 9343, 689, 519, 1318, 610, 689, 519, 2451, 4894, 18537, 29275, 21264, 532, 9246, 30735, 338, 563, 8993, 1005, 856, 519, 25029, 540, 519, 552, 340, 538, 3584, 1644, 547, 1072, 666, 581, 28330, 547, 21264, 532, 26131, 1014, 9246, 30735, 338, 267, 1818, 621, 4101, 585, 3549, 547, 1544, 6619, 267, 11339, 2992, 528, 269, 6969, 519, 21264, 532, 540, 26131, 1014, 9246, 30735, 338, 267, 3504, 26131, 729, 14692, 344, 543, 12357, 609, 26009, 20375, 267, 9589, 4408, 267, 543, 606, 7164, 25196, 267, 1498, 1034, 1547, 901, 812, 729, 519, 1101, 547, 1224, 26131, 1014, 9246, 30735, 545, 6698, 267, 2943, 1004, 1832, 30534, 1864, 1500, 519, 7887, 9295, 4724, 21264, 532, 519, 9246, 30735, 338, 1547, 634, 1650, 540, 519, 21264, 618, 540, 9246, 30735, 923, 568, 5143, 4487, 2685, 538, 513, 2487, 1433, 267, 519, 10569, 540, 26131, 281, 519, 31117, 547, 21264, 26131, 1014, 9246, 30735, 923, 676, 8350, 12340, 740, 9469, 543, 887, 344, 740, 9469, 519, 1650, 540, 519, 21264, 618, 568, 2731, 519, 1650, 540, 795, 6756, 1922, 3757, 1723, 529, 13084, 3326, 542, 540, 535, 8896, 1317, 267, 4352, 1082, 1866, 13986, 547, 19586, 9246, 30735, 923, 267, 621, 1547, 13536, 8942, 693, 21264, 532, 26131, 1014, 9246, 30735, 338, 941, 1500, 676, 513, 4599, 12206, 538, 10120, 26131, 1282, 519, 476, 280, 628, 543, 476, 1015, 628, 5553, 676, 1287, 267, 9246, 30735, 338, 1185, 1279, 1044, 16618, 538, 26131, 267, 543, 941, 8719, 676, 519, 2941, 6776, 543, 513, 32106, 26897, 563, 13828, 519, 1629, 5328, 26131, 1014, 7097, 543, 519, 19967, 1893, 941, 1134, 8153, 676, 519, 26131, 5505, 540, 519, 476, 866, 628, 2540, 945, 5249, 593, 21264, 532, 519, 7097, 593, 519, 6149, 2094, 519, 1257, 540, 1312, 519, 1629, 5328, 543, 19967, 729, 9838, 267, 621, 729, 6956, 602, 519, 26131, 1014, 9246, 30735, 338, 849, 729, 519, 1482, 269, 28762, 30735, 338, 1702, 540, 875, 547, 1224, 543, 2328, 26131, 1014, 9246, 30735, 338, 1185, 1044, 4503, 585, 7366, 540, 1296, 950, 5640, 538, 21570, 689, 519, 25174, 593, 13986, 547, 21264, 873, 621, 729, 2219, 789, 1131, 7866, 519, 25386, 7326, 540, 3504, 26131, 1014, 20577, 269, 5463, 8327, 532, 9246, 30735, 338, 1310, 519, 2887, 540, 3504, 26131, 1014, 10340, 538, 476, 1789, 27652, 267, 519, 2495, 540, 9246, 30735, 338, 7283, 513, 9814, 585, 827, 476, 272, 267, 8517, 1296, 1287, 267, 1282, 519, 18008, 13567, 540, 26131, 689, 476, 9692, 279, 547, 476, 5197, 272, 267, 513, 1895, 540, 18008, 7980, 543, 8030, 20114, 513, 1804, 6149, 1631, 1634, 607, 519, 887, 3553, 3279, 6149, 269, 476, 279, 3504, 1603, 1949, 602, 10093, 1405, 1044, 1232, 760, 22363, 2943, 1212, 11927, 9246, 30735, 923, 646, 543, 1010, 3404, 5112, 9164, 4280, 585, 948, 689, 519, 1857, 538, 21264, 532, 1486, 334, 268, 601, 600, 924, 789, 5950, 1547, 31981, 540, 519, 949, 320, 281, 21264, 532, 512, 1731, 531, 476, 2735, 275, 693, 2085, 476, 1240, 9789, 21836, 18579, 540, 519, 865, 10777, 21184, 8366, 1765, 1721, 1010, 1896, 12326, 543, 4574, 827, 21264, 532, 949, 534, 9246, 30735, 338, 646, 4586, 5475, 986, 4575, 513, 1906, 17633, 1775, 3323, 547, 5469, 1018, 5526, 547, 581, 9246, 30735, 338, 693, 519, 1283, 543, 5377, 540, 519, 11454, 4786, 15545, 2991, 1082, 1296, 540, 4974, 519, 887, 3553, 3279, 6149, 543, 824, 1806, 540, 3504, 26131, 1014, 1603, 267, 795, 6756, 1922, 3757, 9809, 12251, 13084, 3326, 542, 1232, 760, 22363, 9246, 30735, 338, 538, 476, 9264, 273, 875, 1705, 13084, 3326, 542, 21264, 9246, 30735, 338, 13084, 3326, 542, 1223, 1224, 1312, 19967, 543, 2941, 6776, 269, 16480, 267, 519, 6602, 540, 519, 887, 3553, 3279, 6149, 538, 519, 3735, 476, 1240, 628, 2540, 729, 1034, 15747, 538, 519, 21264, 532, 540, 26131, 1014, 9246, 30735, 923, 543, 5795, 5640, 1732, 5813, 883, 3504, 26131, 1014, 2528, 269, 634, 887, 3553, 3279, 6149, 729, 513, 2462, 948, 538, 21264, 532, 519, 1893, 527, 729, 2854, 538, 1614, 4654, 267, 646, 328, 5766, 569, 874, 338, 267, 32204, 543, 1629, 5328, 630, 534, 1278, 26131, 1014, 13172, 264, 527, 5280, 513, 1390, 4308, 607, 1004, 2907, 4586, 26123, 26131, 1014, 9246, 30735, 923, 543, 519, 887, 3553, 3279, 6149, 519, 1883, 547, 21264, 532, 519, 3504, 26131, 1014, 9246, 30735, 338, 729, 1336, 538, 519, 6602, 540, 519, 887, 3553, 3279, 6149, 538, 476, 9692, 279, 269, 5463, 8327, 532, 3504, 26131, 1496, 12575, 9948, 968, 933, 1294, 23678, 1386, 10876, 1496, 514, 26131, 316, 7961, 10179, 762, 5546, 543, 3029, 1572, 9246, 30735, 338, 267, 11589, 519, 3504, 5638, 540, 2215, 867, 658, 7326, 26002, 1082, 5686, 540, 5017, 543, 581, 6814, 540, 513, 9490, 1158, 267, 865, 602, 519, 3965, 540, 2245, 949, 581, 3370, 547, 8011, 532, 6502, 267, 789, 1200, 12245, 519, 16858, 540, 15438, 1547, 634, 960, 540, 21264, 532, 519, 9246, 30735, 338, 4682, 593, 1310, 13084, 3326, 542, 779, 2669, 543, 5170, 909, 547, 519, 1459, 1554, 267, 16111, 3246, 1007, 1344, 827, 1272, 538, 1547, 5463, 8327, 532, 949, 320, 9848, 874, 338, 519, 6189, 543, 9246, 30735, 338, 540, 5493, 523, 4302, 1305, 621, 6306, 689, 824, 949, 320, 4609, 540, 519, 5929, 5736, 723, 741, 3946, 2407, 21264, 532, 1547, 0, 27645, 262, 4967, 281, 519, 476, 3422, 278, 22275, 31558, 8940, 2967, 1846, 529, 326, 990, 879, 949, 476, 3422, 278, 267, 621, 1226, 730, 519, 13338, 2242, 609, 519, 24057, 992, 540, 25641, 4031, 543, 519, 10888, 540, 2924, 610, 15114, 585, 705, 10594, 1149, 269, 901, 568, 513, 1650, 593, 519, 476, 3422, 278, 22275, 31558, 547, 1293, 705, 10594, 10904, 538, 519, 14829, 543, 6338, 4031, 4481, 585, 519, 4324, 540, 705, 10594, 10904, 713, 1650, 4682, 547, 2011, 593, 519, 476, 2918, 628, 540, 949, 476, 1001, 278, 521, 2125, 26725, 269, 634, 476, 3422, 278, 22275, 31558, 3823, 705, 13092, 2924, 814, 1279, 1044, 9833, 607, 513, 11358, 1448, 538, 2413, 705, 13092, 1686, 538, 31065, 855, 4010, 1018, 9187, 6838, 593, 602, 1554, 585, 476, 5325, 1296, 267, 543, 1256, 269, 634, 476, 3422, 278, 22275, 31558, 713, 1770, 540, 960, 6212, 593, 519, 476, 3422, 278, 22275, 31558, 799, 6569, 1079, 25641, 6810, 689, 519, 513, 26894, 11156, 891, 6810, 1185, 15286, 705, 13092, 1004, 689, 1373, 18886, 538, 519, 4013, 14829, 267, 2495, 789, 1705, 711, 13166, 1293, 607, 4961, 269, 2201, 949, 476, 2767, 267, 476, 3422, 278, 267, 513, 14094, 2103, 20366, 538, 513, 22275, 31558, 547, 1689, 875, 705, 13092, 543, 8731, 637, 2269, 527, 6532, 518, 1004, 941, 5219, 547, 538, 519, 11156, 563, 1607, 2376, 13187, 602, 519, 9000, 540, 513, 5859, 585, 513, 2048, 7224, 685, 8917, 538, 519, 476, 3422, 278, 22275, 31558, 729, 2629, 711, 1152, 547, 922, 6364, 855, 267, 811, 11932, 267, 547, 922, 2932, 543, 7766, 862, 655, 2610, 269, 634, 3483, 540, 519, 476, 3422, 278, 22275, 31558, 729, 547, 1118, 1079, 2242, 547, 519, 513, 26894, 11156, 891, 2242, 13087, 519, 1455, 17314, 2229, 547, 281, 1118, 4031, 585, 782, 540, 519, 513, 26894, 1004, 676, 993, 2056, 521, 7906, 540, 519, 11156, 630, 2181, 16227, 1004, 540, 519, 2048, 1987, 580, 1400, 5198, 538, 1022, 1533, 262, 941, 16934, 264, 543, 269, 634, 575, 756, 1537, 30198, 16285, 22275, 31558, 540, 476, 3422, 278, 729, 4371, 593, 476, 1015, 694, 4697, 476, 3422, 278, 267, 538, 799, 575, 756, 1537, 339, 4115, 4961, 941, 4280, 2436, 789, 24714, 547, 1780, 896, 23882, 16285, 267, 609, 575, 756, 1537, 339, 12579, 5329, 741, 21099, 15114, 543, 513, 2027, 4567, 585, 575, 756, 1537, 30198, 1369, 838, 664, 269, 2904, 476, 2767, 7436, 519, 476, 2412, 628, 16683, 540, 519, 11566, 11802, 540, 519, 476, 3422, 278, 22275, 31558, 267, 538, 799, 3592, 476, 11011, 260, 540, 519, 513, 26894, 1004, 20366, 547, 2285, 519, 5313, 2229, 519, 13338, 1379, 547, 936, 20183, 519, 22266, 267, 9714, 532, 22457, 4031, 540, 519, 2829, 896, 799, 705, 10594, 1149, 543, 8731, 637, 2269, 527, 6532, 619, 941, 8731, 7757, 563, 763, 476, 3422, 278, 22275, 31558, 729, 513, 19506, 9740, 585, 6805, 513, 14094, 2103, 1739, 5756, 540, 6805, 543, 1875, 23949, 4246, 17933, 267, 936, 476, 3445, 260, 540, 782, 513, 14094, 2103, 20366, 538, 12797, 540, 993, 2056, 1079, 6810, 540, 519, 513, 26894, 11156, 269, 634, 476, 3422, 278, 22275, 31558, 729, 519, 7583, 332, 1588, 540, 513, 1279, 6560, 585, 2924, 543, 2463, 267, 585, 1514, 22644, 607, 1134, 607, 7862, 1354, 519, 1876, 9935, 267, 32398, 1570, 585, 519, 968, 13433, 892, 5859, 1705, 711, 1445, 7522, 569, 593, 519, 3656, 6286, 540, 13338, 1689, 269, 634, 476, 3422, 278, 22275, 31558, 3788, 519, 1034, 3811, 538, 519, 4182, 781, 1686, 593, 949, 476, 2767, 267, 811, 982, 476, 3445, 829, 1298, 540, 513, 14094, 2103, 20366, 547, 1331, 705, 13092, 1004, 538, 519, 14829, 543, 1450, 519, 1455, 17314, 563, 763, 476, 3422, 278, 22275, 31558, 782, 3755, 540, 713, 1382, 3391, 1058, 849, 581, 3222, 602, 1978, 1913, 267, 2474, 267, 610, 11673, 949, 581, 15520, 6213, 543, 616, 2808, 20025, 2221, 267, 855, 949, 723, 10630, 519, 8456, 540, 519, 2278, 610, 602, 540, 519, 1974, 538, 799, 789, 941, 2854, 269, 2311, 519, 942, 540, 519, 22275, 31558, 538, 476, 3422, 278, 267, 3771, 1245, 2868, 339, 729, 519, 6305, 14012, 543, 513, 12666, 2197, 5428, 22687, 2229, 729, 538, 1379, 519, 13338, 2689, 1184, 729, 862, 10642, 676, 29122, 2367, 345, 625, 945, 19622, 538, 23891, 4231, 476, 3422, 277, 269, 634, 476, 3422, 278, 22275, 31558, 729, 606, 1271, 4434, 585, 519, 6805, 1004, 540, 31065, 891, 17174, 1004, 1185, 20948, 519, 513, 26894, 5251, 585, 811, 982, 476, 2412, 267, 1822, 1296, 1354, 519, 12625, 540, 24067, 13896, 269, 634, 476, 3422, 278, 22275, 31558, 1500, 1686, 281, 513, 14094, 2103, 20366, 11566, 569, 547, 18985, 519, 11156, 547, 1331, 705, 13092, 1004, 538, 519, 14829, 543, 1450, 519, 1455, 17314, 547, 1711, 4031, 585, 873, 269, 634, 476, 3422, 278, 22275, 31558, 2243, 593, 519, 14469, 540, 3296, 476, 7906, 630, 16282, 12858, 264, 543, 519, 4735, 531, 540, 3296, 476, 14096, 729, 1152, 519, 11359, 22275, 31558, 547, 581, 9516, 676, 519, 513, 26894, 1004, 693, 519, 942, 543, 267, 609, 476, 3445, 278, 278, 829, 1298, 540, 17037, 538, 1489, 267, 729, 543, 3788, 519, 2582, 1034, 6462, 22275, 31558, 2243, 538, 513, 26894, 1686, 563, 4002, 519, 552, 557, 540, 519, 476, 2004, 628, 16683, 540, 519, 476, 3422, 278, 22275, 31558, 267, 538, 513, 23863, 16008, 538, 3844, 31065, 267, 5111, 476, 4968, 705, 13092, 543, 8731, 637, 2269, 527, 6532, 518, 30896, 689, 2066, 31065, 269, 634, 476, 3422, 278, 22275, 31558, 476, 272, 4214, 1018, 729, 519, 476, 3422, 278, 22275, 31558, 827, 1018, 941, 519, 2242, 547, 519, 11156, 602, 941, 6069, 519, 476, 3422, 278, 22275, 31558, 729, 6157, 513, 24182, 538, 31065, 779, 1686, 621, 729, 513, 1857, 8917, 547, 3313, 31065, 779, 6644, 593, 19249, 519, 11156, 538, 14621, 547, 6805, 513, 14094, 2103, 269, 634, 476, 3422, 278, 22275, 31558, 2680, 568, 1419, 5219, 547, 607, 2048, 320, 4090, 748, 7432, 1448, 538, 513, 26894, 1686, 685, 543, 538, 519, 3656, 1062, 476, 4352, 519, 22275, 31558, 666, 581, 2938, 607, 835, 540, 519, 1034, 1271, 2621, 538, 8236, 519, 21047, 267, 972, 616, 1869, 2048, 1492, 546, 2958, 338, 540, 519, 7484, 540, 519, 11802, 685, 1496, 2537, 269, 476, 2767, 949, 1107, 476, 3422, 278, 22275, 31558, 593, 476, 2767, 949, 476, 3422, 278, 267, 519, 513, 26894, 2229, 4371, 513, 22275, 31558, 713, 729, 513, 4090, 748, 7432, 1448, 538, 513, 26894, 1686, 519, 476, 3422, 278, 22275, 31558, 12012, 519, 513, 26894, 11156, 563, 763, 476, 3422, 278, 22275, 31558, 7710, 519, 3656, 543, 2797, 4644, 540, 519, 22275, 31558, 543, 519, 1279, 6560 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3725, 18727, 476, 1691, 5988, 476, 1001, 277, 282, 7608, 476, 1240, 4728, 476, 1001, 277, 282, 3370, 476, 2641, 4728, 476, 1001, 277, 454, 12850, 2298, 267, 1942, 267, 543, 10727, 538, 3761, 616, 519, 1883, 24572, 2188, 585, 7082, 2623, 476, 1547, 769, 1931, 547, 3986, 2318, 7082, 2623, 267, 519, 3761, 2707, 1590, 711, 14207, 519, 1072, 540, 519, 2146, 282, 621, 1590, 581, 3015, 282, 621, 1590, 581, 2139, 538, 9424, 6190, 585, 519, 5497, 946, 476, 1547, 769, 513, 476, 1001, 275, 1353, 538, 25591, 267, 519, 4589, 1867, 538, 741, 1957, 602, 519, 11411, 540, 28227, 8851, 2306, 1857, 1216, 3761, 7199, 585, 6800, 269, 4340, 547, 519, 1353, 2164, 267, 7082, 6521, 547, 4244, 3761, 2959, 267, 971, 607, 4764, 16276, 543, 6870, 1688, 25653, 19401, 267, 552, 1162, 519, 11411, 540, 26622, 476, 4586, 273, 269, 10049, 543, 10613, 454, 273, 269, 272, 269, 13517, 540, 5530, 9351, 454, 301, 329, 8403, 13464, 568, 4092, 538, 918, 9461, 12751, 3256, 267, 631, 1195, 31243, 10588, 267, 693, 4678, 3363, 476, 279, 391, 504, 5881, 262, 3345, 543, 7043, 3363, 476, 1321, 391, 504, 4962, 262, 4639, 630, 8201, 476, 272, 1040, 634, 13464, 11392, 606, 16977, 2698, 540, 476, 27868, 276, 17529, 540, 1216, 829, 1554, 689, 1585, 3761, 2959, 563, 8201, 476, 272, 269, 10934, 540, 23683, 2274, 821, 6029, 631, 1195, 31243, 8664, 630, 14683, 2775, 539, 5835, 264, 543, 918, 9461, 8783, 3256, 630, 14683, 2775, 539, 4544, 1916, 273, 269, 272, 269, 272, 269, 715, 329, 8403, 2160, 4826, 3718, 454, 763, 6151, 1216, 6802, 14405, 1216, 689, 519, 6981, 1448, 693, 570, 807, 5211, 543, 15450, 547, 519, 2126, 4099, 267, 476, 1220, 7397, 2476, 267, 998, 513, 476, 277, 20878, 8006, 10612, 269, 2311, 519, 2126, 4099, 519, 1216, 10596, 998, 3500, 5070, 12086, 693, 513, 2095, 2557, 540, 476, 272, 269, 10619, 17529, 829, 8792, 630, 294, 15014, 1040, 634, 12086, 616, 1500, 909, 540, 28439, 6106, 540, 19288, 1570, 281, 18574, 693, 519, 5377, 267, 21432, 5070, 538, 519, 1647, 267, 543, 5386, 5070, 693, 519, 1283, 269, 1703, 568, 1100, 1394, 31683, 7271, 282, 4600, 16924, 4894, 13897, 689, 519, 1283, 4494, 950, 519, 2095, 2557, 3587, 1932, 1970, 610, 972, 568, 2799, 8514, 7190, 563, 763, 22012, 1216, 8928, 998, 513, 476, 275, 20878, 8006, 10612, 883, 513, 771, 26529, 7382, 1141, 20841, 568, 16924, 3773, 269, 634, 20841, 568, 29809, 883, 11737, 337, 3320, 5462, 9830, 267, 543, 3773, 547, 519, 22012, 1216, 269, 634, 5701, 1216, 568, 6740, 538, 513, 476, 4335, 271, 3766, 718, 517, 9096, 1216, 7382, 547, 7227, 585, 3892, 676, 8904, 2095, 547, 5234, 20453, 267, 11889, 5656, 267, 543, 2875, 3984, 1564, 269, 634, 5701, 1216, 568, 13859, 547, 13464, 476, 276, 2053, 513, 1554, 630, 1839, 267, 1822, 17529, 27473, 1916, 273, 269, 272, 269, 273, 269, 4826, 645, 3298, 619, 454, 763, 2160, 779, 1216, 536, 3298, 619, 30321, 1216, 689, 15231, 12535, 547, 6445, 476, 1911, 271, 3766, 718, 517, 13688, 693, 5234, 543, 2875, 20453, 269, 1717, 267, 3761, 689, 713, 2707, 568, 20093, 1738, 543, 568, 2944, 607, 2877, 269, 3958, 267, 972, 568, 1100, 2126, 540, 1216, 689, 713, 2707, 563, 273, 269, 272, 269, 274, 269, 13268, 720, 25530, 4826, 454, 289, 2714, 1194, 543, 5485, 2867, 1216, 616, 519, 1079, 1292, 6704, 1216, 2959, 593, 13464, 269, 1703, 616, 1082, 12478, 540, 10189, 6704, 1216, 3812, 538, 519, 2197, 269, 4107, 540, 519, 12478, 946, 16865, 12086, 543, 11158, 771, 26529, 1354, 11183, 269, 634, 2707, 540, 1216, 9775, 689, 6216, 547, 6216, 282, 6093, 2959, 1331, 7148, 1216, 267, 19401, 267, 24467, 267, 12535, 267, 543, 8933, 269, 1763, 6342, 593, 715, 329, 8403, 13464, 723, 4351, 13283, 585, 519, 1114, 12478, 282, 621, 7361, 5673, 593, 799, 6216, 568, 2139, 1282, 519, 942, 540, 6718, 269, 4340, 547, 519, 5619, 2164, 267, 606, 6059, 2698, 540, 476, 29045, 17529, 829, 1554, 540, 10189, 6704, 1216, 568, 10057, 593, 13464, 269, 15762, 2867, 1216, 568, 519, 3119, 1826, 540, 10189, 6704, 1216, 267, 13859, 538, 15985, 956, 540, 8938, 476, 4335, 1984, 559, 3438, 630, 332, 299, 264, 5485, 515, 1206, 563, 273, 269, 272, 269, 275, 269, 7435, 667, 1872, 28243, 454, 301, 329, 8403, 13464, 814, 1079, 1688, 268, 706, 326, 1216, 19401, 269, 634, 1134, 693, 519, 1394, 540, 23509, 5516, 342, 1166, 1846, 568, 606, 1930, 1134, 2139, 547, 1053, 585, 946, 269, 589, 2034, 1134, 4092, 538, 4395, 540, 21408, 4120, 1166, 1846, 814, 1044, 3957, 676, 1053, 607, 968, 31568, 344, 1560, 6100, 901, 1134, 814, 513, 1688, 6802, 543, 568, 1031, 585, 6704, 676, 5354, 540, 1053, 593, 13464, 269, 898, 2488, 606, 6059, 2698, 540, 476, 10482, 17529, 540, 6704, 1216, 829, 1554, 269, 7612, 476, 273, 568, 513, 4786, 6029, 519, 1216, 2959, 593, 715, 329, 8403, 28941, 563, 273, 269, 274, 269, 5843, 6798, 1670, 30352, 454, 12850, 5439, 689, 1142, 3761, 2707, 941, 7318, 585, 4527, 270, 11274, 775, 540, 5739, 14471, 269, 634, 7621, 325, 600, 5548, 698, 7699, 1216, 4152, 6539, 729, 1031, 585, 3566, 8344, 6514, 269, 634, 6539, 814, 4620, 686, 1673, 8460, 267, 10110, 550, 21181, 267, 9245, 12086, 267, 1688, 13234, 12511, 6802, 267, 543, 31294, 269, 634, 3937, 543, 782, 922, 17960, 616, 10322, 28895, 1354, 946, 267, 538, 1931, 547, 2061, 25619, 2164, 1813, 547, 12526, 269, 476, 2004, 20853, 540, 1142, 1216, 3732, 568, 6027, 1210, 513, 3044, 10322, 28895, 7893, 12718, 269, 634, 1216, 3732, 568, 29253, 998, 513, 9245, 6882, 540, 31736, 2450, 476, 271, 269, 3393, 8020, 6425, 269, 634, 9245, 6882, 568, 17861, 730, 585, 476, 1240, 910, 476, 2420, 3108, 693, 476, 4510, 391, 504, 290, 538, 5078, 10125, 540, 8984, 3337, 543, 2681, 269, 14117, 16690, 625, 616, 4646, 585, 32740, 897, 6134, 4551, 269, 2353, 824, 4778, 616, 1362, 539, 607, 1875, 1922, 1815, 531, 897, 6134, 4551, 269, 634, 4551, 616, 18886, 829, 476, 1911, 16720, 540, 1216, 3732, 607, 5205, 281, 1496, 10831, 540, 12733, 8108, 1770, 270, 24127, 540, 1216, 3732, 22012, 630, 2004, 16720, 4700, 316, 2608, 476, 1911, 563, 274, 269, 11778, 543, 9181, 687, 454, 274, 269, 272, 269, 11905, 540, 4826, 454, 8368, 476, 273, 6799, 519, 1216, 2959, 602, 519, 6800, 9053, 585, 1585, 5301, 282, 476, 1911, 5171, 630, 10170, 269, 275, 260, 994, 8201, 476, 273, 269, 11905, 540, 1216, 3761, 693, 715, 329, 8403, 2160, 267, 715, 329, 8403, 13464, 563, 8368, 476, 272, 269, 4578, 4015, 10851, 543, 741, 16977, 5095, 563, 272, 17239, 281, 9906, 21118, 601, 563, 8368, 476, 273, 269, 2776, 12401, 676, 2707, 563, 339, 809, 851, 538, 519, 5619, 269, 12321, 1328, 10425, 689, 519, 2160, 779, 13859, 7148, 1216, 269, 634, 17013, 798, 711, 3972, 519, 2298, 540, 1216, 4947, 689, 713, 7148, 269, 1358, 4782, 4420, 1194, 543, 5485, 2867, 1216, 267, 13859, 689, 3544, 2959, 269, 634, 1053, 6140, 4096, 593, 519, 10793, 344, 10610, 1134, 585, 6704, 269, 4107, 540, 519, 2875, 17013, 1767, 789, 1223, 711, 6488, 547, 4444, 10189, 6704, 1216, 543, 789, 3972, 519, 2298, 540, 1216, 4947, 689, 519, 1134, 563, 763, 6800, 267, 2705, 267, 946, 519, 7148, 1216, 585, 782, 824, 6469, 5301, 269, 10251, 267, 891, 5301, 666, 4196, 607, 2959, 540, 4598, 547, 519, 9228, 13572, 1216, 476, 1547, 1403, 519, 1216, 568, 8197, 13572, 267, 519, 6800, 949, 581, 12155, 547, 4611, 1072, 2042, 269, 901, 3366, 547, 519, 991, 585, 19027, 540, 519, 2298, 540, 1216, 13859, 547, 13464, 563, 274, 269, 273, 269, 4826, 10866, 693, 715, 329, 8403, 28941, 454, 763, 6800, 3668, 3972, 538, 519, 2298, 540, 1216, 5701, 543, 13859, 689, 519, 570, 807, 5211, 282, 713, 5795, 4473, 547, 519, 991, 585, 513, 6166, 2218, 1216, 2298, 1449, 269, 27842, 941, 9916, 585, 897, 6134, 4551, 267, 538, 1312, 519, 24925, 543, 3819, 12405, 269, 9122, 593, 519, 2010, 540, 2244, 946, 2259, 538, 519, 1858, 267, 519, 2101, 2298, 4145, 585, 570, 807, 5211, 616, 2168, 630, 338, 539, 2939, 4452, 264, 6211, 12526, 630, 13449, 1219, 1815, 566, 1040, 1703, 568, 1100, 4853, 2534, 538, 519, 1858, 269, 3958, 267, 519, 4527, 540, 897, 6134, 4551, 267, 10834, 519, 4527, 540, 5739, 14471, 538, 1216, 267, 1131, 948, 538, 8159, 952, 519, 1216, 2959, 616, 1494, 762, 476, 1547, 634, 1079, 12405, 941, 4988, 538, 1931, 547, 21656, 519, 2959, 540, 1022, 12526, 4611, 689, 4005, 1275, 476, 1547, 7305, 476, 274, 6799, 32740, 543, 1875, 1922, 1815, 531, 897, 6134, 4551, 12523, 538, 476, 1911, 2173, 299, 540, 5439, 5697, 689, 519, 2959, 607, 7396, 563, 4415, 519, 9868, 540, 10189, 1216, 267, 782, 519, 824, 5439, 1705, 711, 2743, 519, 2622, 2657, 9257, 630, 21766, 264, 5227, 23988, 540, 4642, 12523, 829, 3732, 540, 32740, 897, 6134, 4551, 267, 543, 476, 1015, 12523, 829, 3732, 540, 1875, 1922, 1815, 531, 897, 6134, 4551, 269, 634, 5439, 941, 13572, 609, 5739, 14471, 267, 930, 540, 873, 1932, 3875, 547, 1293, 630, 307, 301, 12839, 1070, 1256, 1310, 2126, 540, 519, 1216, 269, 1452, 2164, 17854, 7082, 4145, 585, 519, 2298, 540, 1216, 13859, 547, 715, 329, 8403, 13464, 563, 295, 1301, 995, 14471, 2333, 538, 2551, 538, 519, 19401, 1282, 519, 24925, 4005, 269, 1452, 1522, 581, 8329, 998, 13719, 15780, 2095, 538, 519, 1858, 282, 2147, 3932, 729, 6537, 538, 513, 476, 1001, 276, 1353, 538, 824, 2694, 540, 23683, 2274, 821, 476, 4586, 763, 1164, 15451, 12523, 538, 519, 5757, 1282, 519, 24925, 4005, 1223, 581, 11911, 547, 1930, 1219, 1815, 566, 267, 543, 519, 1480, 543, 3662, 3653, 267, 10678, 883, 519, 5757, 998, 2627, 20359, 610, 1463, 546, 18804, 883, 519, 25318, 5757, 476, 1547, 634, 4389, 9190, 12523, 538, 519, 3819, 4005, 616, 4440, 1813, 8766, 2627, 20359, 563, 10112, 11167, 570, 301, 12839, 568, 6697, 547, 476, 1220, 15451, 12523, 538, 476, 1911, 2173, 299, 3732, 267, 519, 4826, 3718, 9744, 814, 5934, 2126, 630, 4134, 26529, 264, 4398, 540, 476, 10037, 260, 543, 513, 5021, 540, 476, 9834, 10065, 1717, 267, 519, 9096, 1216, 1869, 2115, 2417, 771, 26529, 1813, 547, 32740, 897, 6134, 12523, 1373, 3152, 982, 519, 14959, 5227, 3970, 563, 300, 17853, 12523, 538, 519, 5701, 1216, 2333, 2059, 609, 519, 18180, 269, 901, 949, 581, 1813, 547, 556, 4186, 8727, 267, 998, 20984, 538, 519, 12992, 267, 538, 2127, 1141, 1480, 2238, 949, 581, 10962, 5739, 14471, 883, 519, 454, 8368, 476, 274, 269, 2051, 6134, 4551, 538, 1216, 5439, 563, 272, 307, 301, 12839, 281, 18320, 26597, 547, 4032, 563, 4248, 269, 898, 949, 849, 581, 1813, 547, 546, 13388, 1782, 15895, 771, 26529, 2059, 519, 18180, 476, 2073, 513, 21483, 5818, 547, 20659, 15451, 10307, 538, 519, 1216, 269, 1717, 267, 713, 7872, 3340, 2417, 27792, 607, 547, 519, 4527, 540, 5214, 3327, 543, 5135, 610, 824, 20659, 12363, 6475, 3398, 832, 476, 4586, 28733, 569, 1498, 267, 15895, 771, 26529, 1281, 711, 14183, 20841, 3747, 538, 519, 2160, 779, 5701, 1216, 269, 634, 8261, 1840, 540, 20841, 1281, 711, 1491, 883, 2272, 950, 568, 771, 26529, 1932, 1164, 610, 1932, 2370, 269, 1703, 3100, 547, 581, 1100, 3346, 942, 2359, 693, 519, 9096, 1216, 7382, 282, 3346, 942, 2636, 585, 2347, 29371, 540, 20841, 547, 3986, 3346, 609, 543, 7766, 9552, 540, 14471, 269, 634, 2009, 6228, 540, 4666, 10851, 538, 519, 9096, 1216, 7382, 1522, 849, 581, 4730, 513, 1909, 538, 519, 23696, 20841, 771, 26529, 476, 4586, 3519, 8019, 267, 519, 1699, 2126, 1062, 568, 24835, 762, 540, 8744, 519, 13464, 1216, 547, 3106, 4441, 269, 4329, 11938, 540, 519, 1062, 568, 2838, 547, 3986, 3486, 1655, 2259, 585, 6704, 1216, 2126, 1568, 563, 274, 269, 274, 269, 654, 3739, 1145, 547, 9796, 585, 7066, 730, 4826, 454, 763, 6800, 616, 8348, 547, 2628, 585, 13464, 1216, 952, 2126, 568, 18175, 24612, 547, 3106, 4441, 269, 898, 568, 7000, 538, 7612, 476, 274, 602, 519, 3119, 2601, 585, 4782, 2590, 5485, 2867, 543, 11480, 1216, 568, 6704, 269, 11683, 640, 540, 519, 17013, 786, 2628, 585, 5701, 1216, 689, 7148, 543, 519, 19401, 269, 3117, 28366, 616, 1256, 8348, 547, 2628 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 21328, 666, 581, 24721, 676, 4227, 729, 5653, 543, 9271, 267, 574, 2889, 22777, 538, 4398, 676, 6639, 18175, 2784, 566, 543, 4824, 3267, 6052, 5726, 6971, 519, 991, 585, 1648, 2533, 267, 543, 666, 1267, 538, 3267, 585, 519, 3328, 7082, 267, 950, 972, 616, 14949, 2472, 543, 2029, 2139, 10371, 1862, 7025, 2257, 563, 11321, 476, 2641, 267, 476, 1001, 273, 3267, 14970, 5682, 518, 281, 476, 274, 6052, 4149, 3058, 16370, 585, 2659, 5851, 10371, 1862, 898, 20205, 811, 982, 3483, 32472, 3167, 6472, 2443, 621, 20205, 5100, 10688, 2533, 269, 3267, 834, 12655, 2472, 585, 519, 1753, 723, 1831, 513, 5458, 2208, 1858, 538, 23099, 982, 476, 272, 267, 1822, 5321, 593, 476, 5325, 14143, 267, 2687, 547, 513, 1867, 676, 15019, 3163, 563, 13356, 476, 1240, 267, 476, 1001, 276, 3267, 589, 14229, 752, 32708, 540, 519, 1648, 22766, 4066, 649, 666, 2503, 547, 1294, 4166, 602, 3267, 634, 11633, 3163, 1299, 5303, 8416, 568, 3384, 1007, 17371, 3267, 7874, 543, 4359, 12432, 2326, 602, 2327, 3002, 3085, 1405, 4429, 21328, 18026, 9486, 1683, 2230, 8022, 543, 8654, 547, 713, 13566, 10051, 1547, 3267, 10549, 282, 581, 1500, 540, 2178, 267, 14463, 2326, 282, 543, 723, 954, 24286, 610, 20718, 10549, 269, 3267, 3794, 5074, 610, 4837, 4066, 723, 1831, 1360, 10427, 267, 543, 3267, 7450, 543, 1236, 2643, 697, 2472, 543, 2533, 5788, 595, 4954, 6362, 5788, 16661, 560, 686, 6137, 563, 4910, 7808, 6052, 5004, 7896, 269, 476, 2641, 3267, 901, 786, 2154, 1007, 2257, 267, 2029, 543, 1857, 3609, 10124, 269, 2334, 781, 519, 1909, 540, 3267, 1452, 1985, 5108, 1648, 4066, 723, 519, 2702, 547, 3986, 519, 4398, 540, 23099, 5499, 267, 31601, 2029, 547, 1020, 2472, 602, 5512, 9755, 547, 2333, 563, 19878, 476, 736, 267, 476, 1001, 273, 3267, 6052, 4398, 1107, 3257, 811, 609, 1447, 1648, 1107, 2640, 596, 267, 707, 2197, 267, 3267, 1651, 663, 27853, 15620, 838, 1177, 2740, 606, 5044, 540, 1007, 8654, 2472, 269, 3267, 982, 952, 649, 4769, 262, 512, 723, 1648, 18026, 4066, 543, 4507, 269, 3267, 4886, 543, 6388, 540, 1648, 18026, 2472, 267, 4066, 267, 543, 2533, 281, 563, 13202, 476, 2420, 267, 476, 1001, 275, 3267, 2991, 1296, 540, 1728, 701, 267, 1753, 1852, 543, 12957, 2472, 616, 11543, 3267, 1656, 21625, 616, 11235, 547, 581, 513, 6455, 8756, 585, 891, 2472, 543, 1644, 2533, 267, 2864, 982, 2029, 3549, 269, 3267, 11086, 267, 2436, 513, 5100, 1753, 568, 606, 1648, 18026, 1753, 814, 811, 547, 798, 3267, 2257, 5788, 2923, 5788, 3444, 6919, 563, 18719, 1324, 1648, 4398, 543, 4227, 1648, 3747, 616, 4922, 2808, 607, 23099, 20548, 26021, 1648, 4616, 568, 4122, 6829, 607, 519, 1587, 540, 3267, 538, 2804, 2497, 267, 4492, 3575, 267, 6639, 4398, 543, 824, 4632, 269, 23099, 1809, 1648, 2533, 616, 2352, 547, 2268, 267, 8200, 2390, 1514, 2796, 543, 4429, 21328, 4398, 3096, 8441, 538, 2257, 543, 2029, 547, 1683, 2533, 543, 2472, 602, 2154, 519, 946, 540, 1447, 1648, 269, 6201, 1331, 13868, 3267, 0, 290, 965, 267, 10447, 267, 1928, 269, 1473, 3233, 9044, 568, 513, 1360, 1455, 2943, 1419, 6456, 1966, 269, 898, 666, 2014, 513, 3099, 540, 3978, 1072, 2042, 1519, 11522, 267, 10447, 267, 26032, 540, 7362, 1299, 9221, 1928, 267, 1312, 998, 13027, 6547, 547, 9044, 543, 1813, 547, 6553, 3361, 676, 4598, 547, 9044, 13802, 269, 6168, 476, 1839, 260, 540, 519, 2551, 814, 513, 4719, 28810, 27383, 547, 9044, 269, 6423, 5291, 2517, 4178, 269, 18984, 1516, 332, 1245, 269, 1290, 7933, 328, 1725, 2670, 585, 1454, 811, 1344, 563, 300, 9529, 1299, 25016, 2068, 269, 1473, 3233, 28633, 616, 2356, 22480, 855, 930, 2249, 616, 1634, 547, 2014, 5761, 2042, 269, 3509, 2550, 609, 5817, 5761, 3676, 899, 10447, 1299, 2166, 10973, 27470, 616, 2523, 11630, 269, 2353, 21544, 22740, 1436, 547, 891, 28633, 2356, 5012, 547, 5312, 11522, 1299, 1535, 2001, 2242, 602, 798, 711, 4431, 547, 3044, 11257, 269, 7490, 5077, 513, 5761, 11285, 585, 2143, 4879, 1299, 960, 1575, 952, 596, 723, 4145, 269, 0, 1428, 260, 609, 2126, 269, 634, 2669, 2557, 689, 20575, 568, 827, 476, 2004, 260, 1510, 2126, 269, 769, 519, 2136, 2276, 267, 609, 2126, 267, 519, 2669, 2557, 12772, 547, 827, 476, 1428, 10065, 4107, 2665, 616, 11164, 4577, 20575, 269, 1280, 13969, 4577, 20575, 267, 519, 2669, 2557, 568, 476, 1911, 260, 1510, 2126, 269, 623, 12149, 4577, 20575, 568, 513, 3983, 3968, 543, 568, 2808, 14603, 952, 2126, 568, 711, 3323, 1369, 476, 2190, 3108, 563, 2568, 268, 1911, 260, 30474, 3983, 12918, 952, 711, 5701, 269, 476, 2568, 268, 1911, 260, 9019, 4080, 269, 4634, 609, 2126, 9019, 568, 827, 476, 1428, 10065, 0, 12041, 4433, 2567, 918, 739, 6390, 808, 292, 267, 16217, 330, 1662, 744, 267, 3683, 3128, 339, 26146, 267, 5682, 590, 297, 267, 6154, 9807, 717, 2676, 20082, 9523, 713, 2985, 454, 20082, 589, 1713, 6712, 540, 3282, 689, 519, 2487, 12213, 4248, 21222, 517, 630, 291, 295, 264, 3282, 21383, 538, 519, 13323, 540, 6792, 729, 16487, 547, 519, 32132, 267, 1141, 621, 949, 723, 4049, 8733, 543, 2804, 4539, 269, 634, 6859, 540, 713, 1353, 941, 630, 328, 264, 547, 2697, 543, 21656, 12880, 3282, 1673, 1122, 15665, 26908, 602, 949, 581, 1031, 607, 2203, 8652, 21666, 9714, 619, 610, 607, 15451, 10832, 540, 12526, 543, 630, 4512, 264, 547, 21656, 519, 538, 2198, 3210, 540, 6805, 9190, 2950, 547, 3282, 12526, 538, 11824, 8134, 269, 901, 1353, 729, 5342, 693, 18513, 623, 839, 659, 7637, 16047, 267, 18919, 267, 1141, 3114, 2079, 7000, 649, 9312, 3282, 19386, 8652, 21666, 630, 290, 8975, 486, 547, 595, 8975, 482, 8975, 478, 264, 9830, 8151, 689, 476, 274, 269, 272, 547, 476, 275, 267, 4335, 8406, 4846, 22397, 375, 382, 373, 538, 11824, 521, 1343, 269, 589, 2698, 540, 476, 2190, 9190, 12490, 689, 476, 1691, 25281, 941, 9678, 689, 3282, 539, 11824, 521, 1343, 543, 9672, 607, 3282, 1673, 1122, 15665, 14471, 269, 1772, 565, 730, 9190, 12490, 941, 5097, 717, 2459, 777, 4710, 27627, 267, 1519, 13222, 540, 25281, 609, 1634, 3282, 9714, 619, 630, 2704, 4754, 643, 528, 1314, 267, 3057, 514, 14385, 267, 28342, 14137, 553, 267, 543, 3600, 6839, 14385, 1040, 25627, 8021, 6383, 689, 3282, 539, 521, 1343, 7000, 18105, 8040, 602, 4951, 1164, 5311, 3961, 630, 1575, 547, 476, 4200, 315, 8472, 547, 678, 11748, 5444, 9696, 689, 519, 3282, 1673, 1122, 15665, 9190, 25904, 269, 634, 11606, 540, 9190, 9399, 308, 678, 11748, 5444, 9696, 729, 3980, 376, 1015, 24670, 2362, 538, 3282, 539, 630, 271, 269, 4510, 6398, 476, 1015, 22397, 371, 547, 476, 1015, 269, 273, 6398, 476, 1015, 22397, 371, 12215, 575, 22397, 375, 382, 373, 264, 8957, 2973, 630, 271, 269, 271, 2190, 6398, 476, 1015, 22397, 371, 547, 476, 272, 269, 275, 6398, 476, 1015, 22397, 371, 12215, 575, 22397, 375, 382, 373, 264, 5070, 269, 7991, 2079, 7000, 513, 3982, 3210, 547, 3282, 12526, 267, 543, 9399, 308, 678, 11748, 5444, 11606, 6508, 689, 519, 12593, 1325, 4754, 643, 528, 1314, 4951, 519, 4102, 2333, 538, 3448, 11606, 538, 13572, 5439, 269, 1284, 9959, 602, 3282, 12526, 689, 519, 667, 295, 21383, 1185, 513, 7096, 1764, 593, 519, 11606, 543, 2146, 5888, 540, 6805, 4551, 538, 13323, 11824, 521, 1343, 267, 543, 938, 2963, 2798, 547, 2818, 540, 519, 717, 2459, 777, 4710, 27627, 630, 2704, 4754, 643, 528, 1314, 267, 3057, 514, 14385, 264, 543, 1325, 874, 777, 4710, 27627, 630, 305, 327, 617, 14385, 19687, 264, 607, 1883, 5716, 538, 3282, 12159, 972, 563, 1607, 2376, 729, 3370, 538, 10331, 30287, 19287, 2723, 454, 663, 26518, 538, 4750, 540, 4437, 648, 9712, 566, 1299, 21954, 18341, 566, 0, 3519, 576, 4705, 267, 1133, 984, 339, 28424, 2423, 31588, 1229, 661, 9680, 21733, 9974, 281, 524, 7417, 26364, 1749, 585, 3690, 8001, 661, 9680, 454, 7417, 294, 3322, 519, 10916, 267, 2079, 267, 543, 7664, 540, 28696, 6592, 593, 519, 1480, 21435, 799, 22132, 689, 2634, 12457, 2339, 269, 661, 9680, 568, 835, 540, 519, 1034, 2442, 2409, 540, 4974, 543, 1620, 519, 3157, 602, 896, 12340, 2623, 269, 901, 568, 865, 267, 1317, 661, 9680, 568, 5266, 10464, 267, 2653, 547, 5957, 267, 1769, 2597, 543, 814, 1164, 13796, 6571, 269, 769, 2474, 540, 2623, 267, 713, 13315, 3527, 267, 971, 607, 5322, 602, 616, 5340, 538, 3210, 547, 519, 1604, 269, 1717, 267, 972, 616, 27696, 7965, 799, 666, 2049, 950, 10916, 661, 9680, 1282, 3350, 971, 607, 3350, 13742, 269, 4935, 267, 1034, 2090, 827, 519, 1480, 2634, 723, 8947, 1437, 725, 1282, 11979, 2175, 269, 901, 2376, 8942, 547, 29289, 543, 4766, 4143, 27696, 3435, 602, 7153, 538, 1931, 547, 2268, 1560, 543, 2634, 6384, 1282, 5163, 269, 1452, 11673, 3382, 10372, 593, 875, 547, 2057, 543, 2569, 5163, 13742, 267, 8800, 267, 3301, 543, 2553, 585, 15222, 3585, 10916, 661, 9680, 267, 15444, 294, 267, 10252, 14670, 923, 267, 737, 27282, 267, 543, 3750, 5322, 1282, 5163, 269, 3958, 267, 649, 1459, 1585, 10916, 1949, 267, 661, 9680, 22809, 267, 11503, 543, 2409, 585, 1999, 3215, 1483, 11305, 2396, 19650, 7158, 269, 769, 519, 1439, 649, 786, 9959, 602, 621, 568, 2009, 547, 2594, 543, 5659, 15222, 1242, 2634, 543, 1560, 6384, 1644, 547, 3350, 610, 3635, 4247, 269, 0, 15477, 297, 4488, 20937, 1677, 3313, 519, 2078, 540, 1018, 814, 1044, 1572, 840, 4211, 565, 3518, 1014, 6196, 2622, 27131, 12263, 630, 6938, 264, 547, 519, 17241, 4857, 538, 840, 4211, 565, 3518, 1014, 3345, 3013, 269, 631, 24518, 7495, 306, 2353, 3370, 6811, 540, 840, 4211, 565, 3518, 1014, 6196, 2622, 17241, 941, 12649, 1996, 519, 3964, 3345, 1977, 3044, 585, 922, 6284, 538, 18840, 11043, 4609, 269, 8409, 4162, 3769, 4874, 691, 7781, 27101, 8589, 2144, 657, 687, 1496, 514, 519, 9000, 540, 1016, 577, 1180, 1537, 2144, 657, 687, 267, 15672, 4745, 12760, 267, 610, 30212, 20258, 9525, 630, 290, 272, 268, 273, 4849, 539, 264, 3910, 855, 8506, 519, 4527, 540, 829, 3796, 1308, 11560, 13449, 807, 593, 10237, 4919, 6514, 269, 570, 1449, 543, 17384, 781, 3169, 1449, 941, 1031, 547, 2708, 519, 4644, 540, 519, 6708, 540, 4745, 3892, 543, 519, 4527, 540, 1016, 577, 1180, 1537, 2144, 657, 687, 267, 15672, 4745, 12760, 267, 543, 30212, 2068, 538, 519, 6196, 2622, 2665, 602, 930, 723, 10645, 2099, 17241, 269, 19419, 8085, 4811, 6196, 2622, 5359, 540, 16957, 17241, 1419, 4766, 9678, 7633, 610, 9678, 834, 22772, 338, 257, 1510, 16917, 328, 11043, 7156, 269, 4427, 577, 1180, 1537, 2144, 657, 687, 941, 1459, 538, 476, 4817, 10065, 634, 476, 273, 2665, 1510, 1016, 577, 1180, 1537, 2144, 657, 687, 1185, 15672, 4745, 12760, 543, 30212, 4745, 2068, 269, 3131, 8327, 531, 4745, 12760, 543, 30212, 4745, 9525, 941, 1459, 538, 3592, 782, 2665, 269, 3131, 3796, 1308, 26379, 729, 2965, 3833, 7986, 267, 607, 729, 824, 2963, 540, 19535, 1007, 5642, 5250, 267, 855, 711, 829, 3796, 1308, 11560, 13449, 807, 269, 12164, 12710, 4785, 12778, 1306, 519, 840, 4211, 565, 3518, 1014, 6196, 2622, 2144, 657, 633, 12263, 568, 5693, 513, 1114, 7613, 689, 1018, 814, 1044, 13006, 538, 519, 1715, 2622, 267, 519, 3390, 5526, 547, 9305, 547, 7355, 585, 20803, 17241, 269, 1703, 5693, 616, 476, 273, 3982, 2516, 602, 930, 19665, 896, 519, 3376, 7333, 1676, 540, 17241, 269, 1306, 519, 6196, 2622, 3099, 568, 967, 626, 3907, 27720, 689, 838, 1180, 2643, 23537, 6605, 4331, 267, 621, 568, 6700, 602, 519, 6196, 2622, 2665, 1058, 581, 973, 1538, 528, 1242, 609, 838, 1180, 2643, 23537, 6605, 4331, 543, 602, 1152, 519, 3099, 4080, 538, 18840, 11043, 4609, 538, 3345, 3013, 581, 9286, 607, 17241, 269, 0, 1607, 3561, 729, 2813, 547, 581, 2111, 547, 2445, 1239, 267, 3950, 3356, 267, 543, 1294, 2875, 2208, 998, 519, 7335, 21222, 976, 1982, 269, 1703, 568, 835, 22369, 585, 1142, 540, 519, 476, 277, 30667, 269, 3962, 22369, 814, 476, 2764, 5624, 585, 2875, 4408, 269, 21661, 519, 1283, 540, 519, 22369, 616, 519, 2542, 5578, 267, 3992, 1297, 267, 543, 1448, 1871, 269, 634, 3039, 9587, 616, 585, 519, 840, 23150, 630, 845, 894, 264, 6060, 269, 634, 2699, 6241, 568, 585, 519, 2022, 23150, 630, 8999, 332, 894, 264, 6060, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1358, 17663, 513, 3621, 1589, 518, 1634, 607, 6477, 4445, 543, 513, 5289, 7911, 1634, 607, 17363, 269, 2353, 519, 824, 8695, 1376, 2348, 12194, 827, 606, 16957, 28458, 538, 519, 26570, 269, 1452, 12194, 616, 31903, 676, 519, 13941, 540, 513, 4666, 812, 609, 513, 1612, 778, 1393, 593, 1283, 540, 519, 7823, 269, 634, 8695, 1376, 547, 2070, 13544, 607, 513, 5260, 1640, 543, 6205, 269, 11524, 4250, 1864, 269, 2290, 1554, 1247, 17363, 729, 538, 1010, 15720, 1747, 267, 646, 4718, 513, 30889, 2212, 15841, 2390, 513, 7196, 543, 3459, 547, 1995, 1642, 16272, 602, 519, 2212, 568, 6158, 547, 1864, 269, 16270, 2469, 909, 519, 7823, 547, 8495, 267, 646, 30877, 519, 5168, 602, 621, 568, 1152, 513, 4666, 812, 2269, 5529, 593, 513, 1612, 778, 1393, 269, 1261, 1287, 678, 16640, 547, 519, 11824, 547, 1217, 519, 1866, 269, 1717, 267, 2390, 21945, 693, 519, 11824, 267, 646, 9060, 602, 789, 723, 1831, 2698, 5260, 1137, 10283, 538, 3232, 17174, 12738, 543, 4744, 1211, 25711, 2818, 563, 306, 3019, 26063, 267, 519, 4254, 267, 3366, 676, 13544, 9428, 538, 2450, 543, 16461, 1080, 1169, 824, 6532, 7911, 17990, 585, 28522, 4445, 267, 25453, 267, 18238, 267, 6341, 267, 543, 930, 824, 700, 8636, 331, 12584, 269, 1879, 25453, 13290, 547, 1205, 873, 1394, 267, 789, 4323, 1010, 2319, 543, 1439, 909, 11318, 28522, 4445, 543, 3614, 1005, 25453, 269, 634, 1739, 1554, 267, 519, 14316, 669, 1162, 25453, 538, 513, 19915, 547, 6146, 1864, 267, 855, 646, 7475, 909, 1373, 10710, 676, 513, 3703, 17199, 945, 8452, 693, 519, 11824, 1310, 7487, 519, 8673, 5365, 269, 7083, 540, 519, 4469, 625, 281, 16684, 12834, 11261, 15545, 589, 6093, 20484, 1228, 2443, 513, 9135, 540, 5708, 6273, 676, 12253, 4347, 4141, 1412, 338, 20484, 12724, 4141, 2443, 543, 835, 540, 519, 1034, 2442, 540, 922, 1826, 267, 519, 1433, 1101, 4682, 593, 9042, 538, 3735, 543, 814, 2760, 1044, 856, 540, 1820, 269, 7324, 519, 3209, 781, 2101, 4798, 616, 519, 3540, 2358, 1198, 540, 8567, 267, 476, 866, 628, 10601, 22030, 538, 519, 3162, 7414, 267, 543, 519, 2956, 540, 15796, 543, 5718, 563, 2005, 729, 519, 6667, 585, 5261, 7108, 532, 1412, 338, 29711, 1014, 3209, 7083, 540, 519, 4469, 625, 2073, 799, 30141, 519, 13919, 540, 634, 4856, 531, 6816, 6902, 538, 11831, 656, 344, 928, 781, 1650, 519, 1453, 7237, 9409, 267, 855, 538, 7083, 540, 519, 4469, 625, 9409, 568, 1369, 873, 269, 769, 519, 2038, 476, 736, 628, 2540, 267, 519, 3209, 729, 2808, 513, 5929, 585, 3119, 1153, 1453, 538, 519, 5177, 267, 543, 538, 519, 2136, 2276, 621, 729, 513, 20013, 540, 1164, 17469, 6700, 2542, 8638, 269, 7073, 13915, 2015, 519, 1433, 781, 23381, 547, 581, 18584, 543, 11440, 626, 267, 855, 4352, 1447, 2442, 2221, 267, 634, 4856, 531, 6816, 729, 9862, 883, 513, 2185, 12268, 1453, 781, 8613, 12416, 13739, 676, 8668, 309, 538, 18004, 538, 25470, 538, 2073, 543, 6659, 972, 267, 11831, 656, 344, 928, 729, 519, 27630, 540, 4557, 1453, 543, 519, 21836, 5067, 563, 307, 583, 1819, 676, 1010, 3993, 543, 19946, 267, 1010, 1152, 6101, 2069, 729, 513, 5618, 1974, 693, 25470, 9142, 538, 2443, 2311, 519, 2085, 540, 476, 1626, 646, 24964, 547, 4516, 267, 1141, 646, 6170, 2947, 1296, 2324, 585, 519, 23747, 781, 7345, 7577, 2073, 9467, 609, 519, 3689, 8315, 585, 535, 2720, 269, 11831, 656, 344, 928, 2760, 10272, 519, 14147, 10195, 540, 519, 3162, 7414, 267, 13461, 3079, 593, 519, 6589, 540, 1866, 602, 941, 1287, 4098, 547, 10836, 538, 6628, 267, 799, 646, 27105, 585, 26974, 3740, 1198, 676, 1519, 834, 680, 4868, 540, 575, 648, 543, 5208, 5921, 547, 5707, 650, 622, 1010, 11174, 3988, 1222, 2668, 4340, 547, 11831, 656, 344, 928, 1979, 19212, 18238, 2372, 599, 548, 646, 22666, 14916, 689, 606, 3209, 676, 519, 1977, 2278, 6276, 674, 269, 14332, 2006, 2073, 634, 6816, 5851, 269, 4014, 519, 1101, 7160, 568, 18584, 621, 729, 593, 9042, 538, 2835, 10914, 689, 2038, 5412, 6902, 6580, 2835, 4464, 729, 513, 1455, 2259, 693, 519, 942, 267, 2523, 1282, 519, 8285, 1974, 267, 476, 547, 834, 26078, 2925, 741, 1007, 1145, 257, 883, 519, 1007, 1032, 563, 763, 1101, 7160, 540, 634, 4856, 531, 6816, 729, 3370, 676, 570, 269, 1261, 5206, 15280, 569, 547, 715, 1564, 976, 538, 827, 519, 5299, 23412, 789, 4371, 593, 1010, 2835, 1247, 646, 1185, 12236, 4986, 281, 834, 1721, 13977, 32732, 1296, 1496, 9767, 723, 316, 556, 9464, 519, 2898, 12434, 2668, 634, 4856, 531, 6816, 2443, 1869, 2808, 513, 5929, 2443, 729, 1065, 21242, 676, 31919, 7734, 538, 2073, 538, 741, 15019, 4147, 923, 3126, 269, 15618, 1282, 519, 834, 14140, 11344, 2085, 540, 1453, 781, 5708, 2580, 476, 634, 4856, 531, 6816, 3459, 513, 7678, 538, 8695, 262, 5708, 676, 1210, 8695, 607, 519, 1292, 3197, 267, 513, 3926, 1631, 28125, 538, 519, 9135, 269, 4340, 547, 5339, 10404, 7671, 918, 1069, 1712, 2073, 634, 4856, 531, 6816, 834, 322, 746, 581, 1031, 607, 513, 3561, 538, 519, 1686, 540, 2093, 8487, 2690, 3236, 267, 3370, 513, 1032, 1354, 18882, 540, 15661, 4171, 2093, 941, 2907, 1373, 6933, 730, 543, 5941, 4922, 2073, 8176, 16817, 1412, 338, 634, 12856, 543, 17392, 540, 4856, 531, 24035, 338, 729, 835, 540, 519, 1655, 8153, 4207, 6589, 540, 519, 2208, 540, 14147, 269, 634, 1650, 568, 2854, 607, 513, 1101, 1268, 2239, 689, 519, 5133, 540, 1032, 6040, 25453, 681, 1478, 267, 835, 540, 1614, 8695, 6928, 342, 516, 22486, 593, 519, 14147, 11818, 540, 513, 1804, 855, 796, 514, 4725, 1243, 2717, 2106, 14198, 6532, 563, 305, 19563, 6645, 519, 1650, 24794, 1051, 1947, 267, 3168, 1394, 593, 1010, 7911, 3125, 7045, 281, 834, 296, 729, 513, 7911, 950, 594, 4682, 998, 519, 8748, 9035, 23954, 1305, 1524, 269, 2060, 519, 3965, 540, 1250, 7911, 880, 4606, 2178, 2390, 803, 267, 594, 1459, 1250, 1433, 2523, 547, 8695, 267, 538, 519, 7118, 652, 4126, 602, 789, 949, 17589, 3407, 1344, 267, 1454, 12257, 267, 1390, 7443, 267, 543, 30898, 15903, 31768, 689, 922, 3817, 269, 634, 2272, 6238, 1490, 7416, 569, 282, 1152, 2185, 3817, 616, 13991, 547, 25453, 781, 2038, 1272, 543, 513, 2417, 27552, 547, 1010, 22116, 547, 519, 7414, 7909, 593, 4604, 519, 1488, 992, 269, 1261, 543, 1010, 1079, 15274, 2443, 1032, 6040, 10793, 9410, 543, 1032, 6040, 8834, 7219, 22985, 2443, 616, 519, 6852, 15000, 540, 519, 6928, 342, 516, 1188, 269, 634, 2239, 568, 538, 1079, 2694, 269, 634, 1101, 6257, 875, 519, 8695, 3049, 2933, 267, 1018, 789, 4235, 267, 519, 7802, 543, 12062, 789, 6752, 267, 543, 875, 789, 11883, 609, 2348, 547, 7048, 593, 741, 1378, 2200, 563, 763, 2034, 3368, 540, 519, 3209, 568, 811, 2962, 1790, 17977, 267, 10023, 7526, 609, 31503, 267, 8165, 1063, 519, 5065, 2717, 29498, 2103, 267, 543, 519, 7503, 3646, 540, 4168, 28773, 269, 22500, 267, 3165, 543, 3552, 14918, 1683, 726, 550, 3814, 1426, 267, 543, 693, 1101, 519, 8695, 262, 1272, 593, 519, 6532, 568, 7329, 22690, 545, 269, 1358, 1628, 513, 12062, 543, 4020, 513, 1507, 10935, 1210, 741, 1152, 22590, 281, 513, 7745, 16263, 267, 606, 4401, 27995, 522, 541, 267, 543, 513, 1507, 4949, 324, 269, 4256, 1101, 3346, 609, 824, 3425, 2501, 1310, 1896, 3275, 950, 789, 7747, 1079, 1804, 856, 3419, 3455, 666, 3996, 538, 519, 3845, 267, 835, 22002, 676, 519, 824, 563, 763, 1079, 2516, 540, 2717, 29498, 2103, 771, 10603, 1046, 593, 519, 11824, 543, 4497, 538, 6370, 282, 519, 4619, 832, 1491, 19939, 14586, 543, 6146, 543, 3548, 835, 5612, 269, 1809, 950, 789, 21279, 547, 6146, 835, 540, 519, 1614, 2021, 9676, 267, 2059, 609, 1079, 1453, 267, 519, 8695, 26544, 547, 14710, 519, 5083, 340, 619, 267, 15980, 873, 519, 14696, 540, 519, 8783, 267, 20579, 16619, 269, 634, 1985, 6640, 789, 2061, 1776, 957, 540, 28994, 756, 16117, 269, 634, 25165, 4734, 267, 543, 519, 8695, 616, 4805, 2899, 811, 269, 2859, 7938, 4372, 8436, 1287, 12446, 538, 519, 3337, 540, 3703, 31503, 2073, 945, 1118, 513, 2713, 676, 9467, 610, 27560, 5070, 531, 6229, 269, 634, 1614, 8695, 12404, 538, 513, 13946, 267, 855, 25453, 568, 9676, 950, 646, 26136, 856, 547, 1294, 952, 519, 11371, 644, 619, 723, 2451, 543, 568, 3144, 593, 4604, 519, 19266, 622, 11634, 3019, 518, 563, 3891, 16716, 909, 513, 11505, 609, 835, 540, 519, 12284, 267, 10552, 344, 9291, 267, 543, 950, 519, 6928, 7125, 693, 519, 6532, 540, 2506, 334, 547, 4123, 585, 811, 3574, 25453, 2833, 1082, 18125, 540, 519, 6532, 781, 2528, 281, 519, 2442, 7328, 540, 17774, 532, 2073, 519, 27531, 540, 9002, 547, 552, 601, 10971, 2073, 22149, 267, 543, 28994, 756, 16117, 269, 29547, 13253, 1267, 538, 519, 11317, 22215, 519, 31503, 267, 6028, 1152, 25453, 543, 10552, 344, 9291, 9800, 269, 634, 6292, 8011, 538, 1818, 741, 9101, 538, 519, 11634, 3019, 518, 267, 855, 9291, 568, 6180, 958, 20754, 269, 1261, 2306, 513, 2669, 1532, 539, 1065, 550, 766, 585, 1010, 9409, 1272, 267, 6028, 25453, 547, 13743, 1394, 547, 519, 4856, 531, 6816, 4805, 267, 1141, 646, 568, 22653, 1243, 609, 1010, 2828, 563, 763, 1614, 8695, 13743, 547, 519, 6532, 540, 631, 24546, 267, 1141, 513, 29966, 814, 10736, 930, 540, 519, 2551, 547, 8567, 269, 1703, 789, 2899, 1586, 2743, 20579, 16619, 267, 4171, 8250, 2997, 622, 320, 16858, 547, 1831, 513, 4168, 1996, 1200, 4651, 781, 16858, 269, 634, 8695, 3801, 547, 1491, 2997, 622, 320, 538, 513, 1507, 10935, 547, 513, 7404, 6532, 519, 8783, 540, 799, 814, 1044, 10736, 267, 855, 679, 8905, 789, 616, 16765, 2586, 676, 835, 540, 20579, 16619, 781, 2112, 666, 3996, 543, 3144, 26956, 269, 1358, 616, 5950, 513, 3923, 2663, 1310, 519, 12625, 540, 1776, 29966, 267, 543, 20579, 16619, 781, 7503, 547, 8567, 563, 763, 834, 7301, 10971, 834, 476, 540, 631, 24546, 616, 931, 11220, 547, 519, 26428, 267, 543, 519, 8695, 1305, 13743, 585, 1753, 267, 4587, 543, 5923, 518, 269, 2353, 11831, 656, 344, 928, 781, 9089, 616, 267, 538, 1010, 1378, 1913, 267, 834, 611, 1203, 675, 2984, 585, 1762, 11570, 2580, 543, 634, 4856, 531, 6816, 568, 1100, 9868, 269, 634, 4856, 531, 6816, 2073, 585, 782, 922, 7045, 267, 568, 7494, 13026, 609, 519, 17779, 540, 6469, 5708, 519, 6389, 540, 519, 1483, 626, 3209, 6902, 11831, 656, 344, 928, 1821, 4925, 827, 513, 3791, 540, 519, 1433, 547, 11673, 540, 519, 8695, 262, 2713, 12417, 269, 898, 568, 711, 5921, 585, 1864, 269, 667, 7469, 928, 918, 583, 10045, 814, 4767, 602, 834, 1492, 16190, 3350, 540, 519, 1650, 689, 9381, 4789, 547, 16678, 7414, 6532, 568, 2147, 547, 519, 16190, 3350, 689, 519, 1483, 1158, 547, 519, 9735, 538, 1453, 781, 14810, 8487, 2414, 513, 2413, 5467, 11831, 656, 344, 928, 781, 2835, 666, 3100, 22350, 7255, 609, 6589, 540, 18508, 543, 21426, 267, 476, 606, 834, 996, 333, 4919, 17953, 257, 5497, 547, 2303, 602, 741, 5468, 616, 1483, 4025, 5356, 9035, 547, 1346, 945, 666, 3914, 873, 269, 634, 2101, 4798, 540, 519, 3209, 31721, 1472, 519, 3310, 540, 8567, 267, 519, 2956, 540, 1514, 25327, 267, 543, 519, 7915, 27166, 540, 3540, 2213, 17417, 936, 519, 3162, 7256, 6532, 619, 282, 6742, 710, 667, 583, 515, 559, 267, 7548, 540, 2296, 267, 15109, 519, 3209, 834, 320, 1883, 1257, 11837, 856, 7810, 1894, 538, 519, 16972, 1974, 8487, 296, 4718, 602, 891, 11375, 3861, 28749, 941, 2965, 22745, 741, 666, 4141, 936, 519, 2713, 4703, 540, 741, 9601, 269, 5445, 14299, 1055, 922, 8861, 338, 700, 5819, 1399, 1677, 2696, 4828, 543, 2709, 621, 547, 519, 18140, 12834, 2986, 7083, 2986, 634, 4469, 625, 607, 513, 15093, 269, 5261, 7108, 532, 269, 1325, 5586, 5566, 18140, 12834, 2986, 7083, 2986, 634, 4469, 625, 269, 0, 414, 504, 350, 14424, 1656, 25037, 634, 7910, 1014, 1656, 6936, 717, 761, 1014, 454, 763, 1114, 3506, 540, 2804, 2219, 1336, 1851, 7083, 4258, 3122, 7615, 14594, 1677, 3571, 12312, 5811, 543, 5391, 5644, 616, 5702, 1644, 547, 3013, 781, 4550, 1922, 3985, 626, 543, 5313, 626, 1686, 5976, 11122, 2510, 14424, 1656, 25037, 634, 7910, 1014, 1656, 6936, 717, 761, 1014, 2370, 715, 14566, 19270, 15664 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 689, 13680, 543, 3531, 4577, 547, 6101, 543, 15982, 267, 855, 789, 782, 2671, 930, 1106, 540, 22524, 11163, 269, 769, 2489, 267, 513, 2078, 568, 6353, 676, 513, 20102, 6225, 5385, 540, 3929, 267, 2168, 267, 543, 5924, 1570, 5370, 610, 2533, 563, 5278, 540, 519, 1034, 1455, 3123, 540, 2078, 2042, 616, 1759, 593, 2792, 269, 12983, 666, 8451, 950, 513, 7008, 779, 2792, 6163, 610, 7375, 8428, 689, 835, 1776, 267, 4611, 538, 21390, 543, 31495, 13133, 725, 269, 4033, 2053, 267, 2792, 2591, 949, 581, 3361, 676, 513, 3668, 540, 942, 547, 6108, 1927, 610, 824, 12721, 13800, 543, 4690, 269, 1280, 1383, 267, 513, 1713, 824, 1522, 1745, 13581, 539, 952, 789, 616, 4280, 547, 3442, 1063, 2469, 547, 741, 2828, 685, 5428, 543, 7836, 519, 15964, 609, 873, 563, 1103, 1840, 547, 9591, 2635, 2792, 1983, 267, 15185, 1058, 960, 547, 3666, 741, 960, 543, 2123, 2729, 269, 898, 568, 5363, 547, 1265, 12348, 602, 1312, 1004, 2972, 267, 865, 789, 666, 6108, 2298, 942, 1927, 1510, 4743, 16397, 676, 824, 9021, 543, 19647, 269, 769, 1840, 267, 621, 568, 513, 1434, 2856, 547, 2226, 17052, 3544, 540, 519, 2078, 267, 865, 1142, 1268, 814, 513, 2178, 1489, 1062, 789, 666, 2490, 547, 538, 2053, 540, 991, 563, 27094, 543, 561, 755, 616, 3532, 4664, 602, 666, 2014, 1004, 547, 2322, 519, 2115, 540, 741, 7649, 1354, 741, 1378, 267, 799, 666, 1291, 547, 14432, 3347, 269, 4658, 538, 891, 2010, 540, 3347, 1419, 10714, 741, 1378, 4690, 543, 1831, 26416, 995, 540, 741, 4891, 585, 1818, 873, 1745, 899, 519, 1152, 10862, 538, 741, 2729, 269, 769, 930, 2665, 267, 891, 2010, 540, 3347, 666, 1256, 1439, 538, 16028, 563, 4407, 621, 568, 2067, 547, 7287, 519, 2648, 543, 31070, 602, 2097, 609, 513, 2078, 267, 621, 568, 1271, 585, 1312, 4891, 547, 3314, 602, 513, 2635, 2078, 3340, 3160, 5666, 540, 4758, 543, 2921, 269, 769, 1840, 547, 4180, 602, 1142, 1268, 568, 3478, 741, 2115, 1558, 267, 621, 568, 849, 1898, 547, 3715, 543, 2226, 6302, 267, 543, 547, 6023, 4606, 540, 22584, 543, 30983, 538, 513, 2635, 1259, 269, 769, 1840, 267, 621, 568, 1271, 585, 1312, 4891, 547, 2463, 1142, 824, 779, 4805, 942, 543, 519, 2250, 3347, 540, 1142, 824, 269, 1635, 3257, 865, 267, 1142, 1268, 666, 1745, 8746, 602, 789, 616, 538, 513, 2635, 2078, 269, 0, 8368, 540, 9115, 454, 1432, 1772, 606, 8177, 20306, 677, 19336, 543, 1215, 6496, 898, 4518, 888, 2304, 8177, 20306, 677, 19336, 267, 849, 1634, 607, 513, 589, 3922, 1436, 5119, 666, 581, 1031, 547, 948, 4225, 4247, 1862, 6258, 2859, 24222, 9796, 4752, 19336, 267, 610, 10025, 5288, 269, 29203, 19336, 267, 568, 513, 3308, 1907, 1031, 538, 1788, 2359, 267, 3375, 6194, 267, 543, 1703, 616, 1082, 2081, 547, 10891, 707, 10709, 3670, 29178, 605, 806, 572, 1862, 6454, 547, 6218, 543, 4225, 4247, 267, 3785, 267, 610, 2093, 1759, 593, 741, 1761, 1764, 543, 519, 10803, 1377, 589, 7194, 1377, 568, 519, 1871, 540, 3403, 538, 1862, 6258, 2859, 1862, 540, 4674, 2838, 547, 2936, 873, 269, 901, 5119, 2337, 2043, 610, 6887, 1118, 5483, 3664, 676, 18928, 11008, 1944, 3688, 883, 1114, 9076, 1218, 563, 288, 1907, 4749, 6964, 676, 1788, 9946, 568, 519, 8177, 20306, 677, 19336, 267, 799, 11226, 538, 10442, 519, 17191, 1764, 543, 519, 4674, 2877, 585, 1367, 1788, 4247, 269, 1635, 11617, 12180, 1788, 4247, 538, 713, 6073, 267, 1788, 9946, 2744, 513, 20501, 1620, 540, 799, 4247, 616, 26405, 547, 1118, 519, 1034, 1713, 1764, 543, 799, 3283, 786, 3747, 519, 6574, 2179, 540, 4674, 563, 2080, 779, 875, 606, 8177, 20306, 677, 19336, 1568, 912, 268, 10576, 519, 27294, 281, 3689, 267, 596, 991, 547, 2697, 519, 3688, 596, 1616, 547, 4225, 269, 1452, 3688, 1223, 581, 3785, 267, 4247, 267, 2093, 267, 610, 1022, 824, 2609, 602, 2154, 6268, 563, 268, 16294, 7600, 4997, 281, 1411, 3580, 991, 547, 3715, 1079, 7355, 547, 6218, 1142, 6221, 281, 8177, 543, 20306, 677, 563, 268, 8177, 281, 901, 5484, 577, 5658, 532, 901, 568, 513, 1505, 547, 1265, 519, 1655, 7900, 861, 1862, 6258, 2859, 1862, 2708, 525, 519, 1761, 2640, 610, 2318, 4093, 2404, 609, 7598, 519, 6221, 269, 8177, 666, 581, 6027, 538, 1585, 2081, 267, 971, 607, 2883, 12374, 267, 6075, 9547, 267, 942, 9806, 267, 610, 1022, 824, 4143, 14573, 269, 25849, 513, 6060, 610, 12773, 547, 1142, 6221, 779, 1761, 1764, 563, 268, 20306, 677, 281, 901, 21205, 27786, 519, 2200, 267, 942, 267, 543, 6988, 2838, 547, 2936, 519, 6221, 269, 20306, 677, 666, 581, 6027, 538, 2474, 540, 812, 3620, 2293, 267, 1942, 267, 2930, 6988, 267, 610, 1022, 824, 4143, 2188, 269, 25849, 513, 6060, 610, 12773, 547, 1142, 6221, 779, 4674, 1377, 563, 268, 8073, 519, 19336, 281, 8571, 513, 1079, 8820, 7470, 609, 8177, 593, 835, 7852, 630, 17141, 519, 7299, 7852, 264, 543, 20306, 677, 593, 519, 824, 7852, 630, 17141, 519, 8880, 7852, 1040, 634, 17887, 616, 3335, 5258, 883, 1970, 267, 5420, 267, 543, 1164, 6688, 267, 2870, 513, 476, 274, 9943, 274, 7470, 563, 268, 9255, 27294, 593, 519, 19336, 281, 1280, 1142, 6221, 596, 4076, 4857, 267, 4729, 621, 593, 519, 5119, 1759, 593, 922, 8177, 543, 20306, 677, 8464, 269, 27294, 609, 1164, 8177, 543, 1970, 20306, 677, 1058, 581, 5116, 538, 519, 5580, 268, 3847, 9076, 656, 267, 10834, 1164, 10862, 269, 27294, 609, 1164, 8177, 855, 1164, 20306, 677, 1058, 581, 5116, 538, 519, 5580, 28878, 9076, 656, 267, 10834, 5420, 10862, 610, 6297, 7156, 269, 27294, 609, 1970, 8177, 543, 1970, 20306, 677, 1058, 581, 5116, 538, 519, 2539, 268, 3847, 9076, 656, 267, 10834, 1970, 10862, 269, 27294, 609, 1970, 8177, 855, 1164, 20306, 677, 1058, 581, 5116, 538, 519, 2539, 28878, 9076, 656, 267, 10834, 519, 9803, 10862, 610, 556, 4621, 573, 3130, 563, 268, 21302, 543, 32341, 281, 4495, 782, 3688, 616, 28367, 593, 519, 5119, 267, 5659, 519, 2164, 269, 10312, 593, 3688, 538, 519, 5580, 268, 3847, 9076, 656, 267, 607, 891, 616, 3335, 1164, 1790, 1874, 640, 4247, 610, 3785, 602, 2709, 8101, 2640, 609, 5266, 1970, 4674, 269, 6333, 707, 2139, 2200, 543, 7580, 3853, 950, 14045, 799, 3688, 547, 10994, 1101, 563, 268, 6875, 11059, 281, 2422, 519, 5119, 779, 2164, 547, 3391, 707, 3375, 6194, 1184, 269, 26875, 1125, 543, 21138, 2200, 547, 519, 1164, 27780, 716, 267, 1970, 3887, 742, 677, 3688, 1101, 267, 543, 5402, 2015, 519, 3688, 538, 519, 5580, 28878, 9076, 656, 563, 268, 5623, 543, 22352, 281, 1306, 6381, 1689, 610, 1007, 3688, 10836, 267, 30603, 519, 8177, 20306, 677, 19336, 21237, 547, 9337, 707, 14422, 563, 3528, 1210, 606, 8177, 20306, 677, 19336, 267, 596, 666, 1118, 811, 5483, 3664, 267, 11126, 4199, 14305, 267, 543, 2327, 602, 707, 3646, 616, 5059, 593, 4247, 610, 3785, 602, 1683, 519, 6574, 1871, 563, 1432, 779, 519, 6396, 1108, 585, 10829, 4328, 8177, 8957, 20306, 677, 888, 763, 1184, 540, 8159, 1764, 3322, 9001, 513, 10230, 11973, 540, 707, 13283, 269, 1280, 3236, 267, 596, 1522, 2015, 519, 2333, 538, 6075, 9547, 8464, 267, 519, 5786, 538, 2504, 942, 267, 610, 519, 2208, 538, 1514, 2923, 6278, 269, 769, 4334, 267, 950, 3067, 4328, 4674, 267, 596, 4983, 519, 2698, 2883, 7979, 599, 610, 4020, 513, 4336, 8151, 689, 476, 272, 547, 476, 1015, 267, 28286, 1154, 2418, 547, 1142, 4305, 9935, 563, 1432, 616, 519, 476, 275, 21408, 1218, 888, 2080, 779, 513, 15059, 540, 1142, 9076, 656, 779, 9270, 912, 268, 8899, 4674, 270, 11947, 8177, 281, 901, 9076, 656, 4564, 519, 6653, 5544, 12544, 7706, 540, 1970, 4674, 543, 1164, 12587, 269, 898, 779, 519, 979, 3562, 1858, 585, 6887, 17935, 547, 24847, 3035, 8101, 1764, 563, 268, 4400, 4674, 270, 11947, 8177, 281, 10298, 13883, 538, 713, 9076, 656, 849, 9153, 1713, 12587, 267, 855, 789, 2097, 609, 3152, 6988, 543, 4674, 269, 14992, 1058, 3479, 547, 519, 818, 706, 748, 3460, 1152, 950, 789, 616, 4712, 585, 519, 1279, 688, 592, 563, 268, 8899, 4674, 13624, 578, 1764, 281, 2755, 891, 3435, 3747, 8766, 4674, 267, 789, 1058, 711, 581, 519, 1283, 10862, 269, 1358, 1058, 1152, 581, 2016, 3007, 2899, 811, 14785, 3681, 723, 1044, 8268, 563, 268, 4400, 4674, 13624, 578, 1764, 281, 7102, 2856, 267, 4640, 267, 3070, 267, 610, 1788, 3804, 23493, 538, 713, 7121, 12987, 513, 2629, 4901, 827, 2436, 519, 2319, 1058, 8399, 693, 782, 269, 8178, 519, 6286, 540, 711, 13197, 713, 960, 543, 2015, 13346, 14422, 4724, 811, 26374, 3435, 563, 763, 1377, 540, 4674, 1935, 28382, 4213, 543, 1788, 3401, 609, 513, 3551, 1505, 547, 3313, 519, 6099, 1576, 540, 2962, 538, 513, 3099, 540, 3871, 269, 898, 779, 513, 2656, 543, 3608, 1259, 547, 1305, 513, 1576, 1510, 11991, 17799, 563, 1432, 3657, 519, 11588, 540, 14146, 532, 606, 8177, 27582, 742, 677, 19336, 888, 25219, 559, 1944, 606, 1871, 4674, 5119, 3091, 3549, 513, 2312, 1505, 585, 26724, 2238, 269, 898, 6087, 873, 547, 3313, 1141, 547, 13404, 741, 3646, 543, 799, 4247, 666, 581, 1244, 1874, 527, 1242, 269, 9717, 602, 1169, 1870, 8188, 4199, 10148, 267, 713, 5119, 568, 513, 3407, 1907, 585, 7561, 782, 20814, 2200, 563, 11101, 267, 930, 4213, 2490, 547, 713, 5119, 950, 21947, 609, 2591, 1282, 5571, 3785, 269, 1879, 3785, 7237, 5741, 2480, 2100, 28869, 630, 27271, 1634, 607, 968, 7528, 790, 618, 28869, 1862, 6258, 2859, 1862, 543, 824, 2152, 267, 789, 666, 1821, 5573, 689, 741, 5497, 2619, 267, 6336, 1445, 267, 543, 3111, 547, 5447, 609, 936, 31186, 1870, 3853, 269, 634, 5119, 20674, 6887, 538, 8939, 3435, 547, 1483, 793, 543, 1201, 1371, 891, 3785, 563, 763, 5119, 849, 10597, 519, 7145, 540, 4058, 543, 8086, 269, 2755, 1034, 4213, 5431, 519, 2956, 540, 9488, 1788, 4058, 267, 711, 782, 946, 741, 942, 5688, 958, 269, 634, 5119, 6908, 6050, 519, 1184, 267, 5969, 998, 19240, 543, 13057, 6887, 547, 519, 4295, 2152, 543, 741, 1034, 5078, 3435, 563, 1692, 798, 596, 1589, 713, 1907, 1223, 4324, 707, 960, 610, 2872, 888, 18704, 707, 4555, 267, 2055, 267, 610, 1967, 2984, 538, 519, 8292, 2630, 269, 0, 13312, 8183, 2055, 2832, 547, 2708, 513, 11134, 781, 1983, 538, 2870, 1362, 12222, 267, 6189, 12222, 267, 20104, 12222, 267, 543, 5547, 12222, 269, 634, 10457, 666, 1711, 2241, 610, 1950, 12222, 607, 2838, 267, 543, 519, 981, 29794, 666, 2070, 873, 547, 6218, 563, 13312, 8183, 2055, 538, 27725, 518, 305, 1678, 18873, 946, 519, 2721, 269, 1470, 6516, 2719, 1907, 781, 7471, 5759, 547, 1489, 519, 8888, 540, 12222, 269, 15443, 573, 919, 666, 946, 519, 2653, 3562, 14025, 2721, 269, 1470, 1907, 781, 7207, 547, 1711, 1585, 12222, 971, 607, 772, 7876, 543, 9980, 640, 17716, 3533, 269, 901, 2376, 786, 3802, 596, 998, 519, 3268, 547, 2870, 513, 12810, 7726, 563, 8269, 518, 547, 519, 1739, 3584, 547, 1174, 875, 707, 10457, 946, 519, 2721, 269, 1470, 6516, 2719, 1907, 538, 27725, 518, 305, 1678, 4255, 547, 1374, 2095, 577, 11301, 543, 12222, 563, 3721, 338, 547, 8073, 12810, 7726, 454, 268, 8437, 593, 519, 7732, 9184, 593, 519, 1753, 2985, 543, 4945, 593, 519, 8073, 7726, 7735, 563, 268, 8437, 593, 519, 12810, 2243, 1826, 538, 519, 8564, 7726, 7392, 13972, 4216, 563, 268, 1703, 616, 1079, 3268, 538, 2870, 513, 12810, 7726, 563, 3721, 272, 281, 7726, 19672, 454, 268, 7726, 8745, 281, 634, 1966, 2012, 1058, 581, 2110, 543, 22521, 269, 898, 1058, 711, 2285, 1022, 23456, 547, 4194, 519, 1966, 563, 268, 9046, 13517, 281, 2755, 10503, 519, 1966, 3948, 267, 5225, 2327, 519, 2243, 568, 2312, 543, 2143, 269, 1411, 666, 849, 946, 7515, 267, 11708, 267, 610, 27589, 547, 3986, 9355, 563, 268, 7201, 519, 7726, 3601, 267, 596, 666, 1305, 519, 6060, 596, 1616, 585, 519, 2243, 563, 268, 1411, 666, 14574, 519, 2698, 6060, 596, 1616, 547, 28286, 547, 513, 1880, 2243, 1934, 269, 1403, 519, 2243, 814, 811, 982, 835, 2953, 2626, 267, 1142, 2953, 2626, 786, 1205, 606, 3160, 6824, 540, 519, 2698, 6060, 269, 901, 568, 513, 16601, 2361, 563, 2690, 606, 2653, 2243, 602, 666, 581, 12193, 538, 476, 1428, 3764, 454, 2690 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 563, 7712, 4365, 814, 971, 513, 2565, 1198, 593, 8022, 3747, 267, 10783, 636, 4941, 547, 11126, 741, 8664, 8022, 3060, 4238, 538, 25385, 5622, 1210, 513, 5409, 29985, 4365, 9472, 609, 519, 5207, 6111, 3079, 540, 2489, 4365, 1344, 563, 1692, 666, 649, 917, 875, 1454, 5982, 568, 538, 606, 1858, 286, 3657, 5982, 2157, 856, 540, 519, 8723, 286, 8409, 616, 519, 2055, 13673, 309, 2562, 4953, 2337, 3084, 543, 2199, 3106, 8128, 2626, 998, 741, 2825, 5464, 543, 6482, 3457, 563, 5591, 2339, 707, 2872, 267, 938, 2011, 2298, 543, 4365, 8596, 948, 596, 4194, 2504, 543, 3106, 2591, 269, 15681, 721, 827, 707, 1808, 1788, 610, 2115, 2443, 649, 2461, 1934, 547, 948, 269, 0, 273, 269, 12305, 17901, 1354, 543, 1310, 519, 15972, 865, 602, 519, 15972, 666, 581, 30465, 693, 1022, 942, 269, 634, 2095, 4287, 540, 519, 7873, 839, 622, 1058, 581, 5812, 609, 519, 15561, 1665, 593, 519, 10380, 540, 519, 9252, 15972, 563, 274, 269, 634, 9252, 15972, 1058, 581, 8704, 693, 519, 9803, 1448, 540, 519, 3937, 17752, 547, 11166, 519, 27772, 1216, 538, 942, 547, 2057, 18180, 10009, 269, 1403, 519, 15972, 568, 711, 8704, 538, 519, 9803, 2990, 593, 519, 1770, 267, 621, 1058, 581, 538, 519, 5207, 2990, 593, 519, 17752, 269, 5410, 513, 2132, 15972, 630, 1718, 839, 622, 1567, 518, 4745, 264, 693, 519, 1970, 1377, 267, 6318, 519, 7873, 839, 622, 1377, 543, 882, 1933, 519, 15972, 547, 2057, 9252, 8749, 563, 275, 269, 634, 17752, 10612, 540, 519, 15972, 1058, 711, 581, 27153, 538, 1216, 269, 20996, 20637, 1058, 581, 8704, 23276, 563, 276, 269, 3962, 3926, 1058, 581, 9280, 609, 513, 9252, 15972, 269, 1547, 763, 27687, 1738, 15972, 3340, 513, 23658, 944, 539, 10612, 609, 1100, 811, 982, 835, 11281, 540, 13471, 269, 634, 3337, 540, 519, 15972, 1058, 581, 607, 2673, 607, 2009, 547, 519, 3937, 563, 277, 269, 1879, 1210, 9252, 20637, 585, 14941, 15018, 630, 5976, 521, 13023, 517, 1826, 264, 3937, 267, 5225, 5815, 281, 3442, 547, 946, 9252, 20637, 609, 4550, 3613, 324, 600, 4187, 547, 2061, 519, 3937, 689, 10451, 9252, 25437, 269, 1703, 568, 7873, 839, 622, 6051, 1310, 519, 15972, 267, 543, 519, 15972, 17752, 10612, 1058, 2097, 689, 519, 6051, 32032, 269, 5440, 1569, 547, 519, 32032, 6971, 1394, 2604, 543, 11151, 1394, 6503, 563, 278, 269, 1403, 972, 568, 27772, 1216, 6051, 1310, 519, 15972, 267, 519, 12992, 609, 1114, 2604, 2157, 1058, 581, 9674, 269, 1234, 12860, 269, 2991, 519, 15972, 267, 519, 7873, 839, 622, 6051, 32032, 3112, 18214, 513, 9386, 267, 799, 786, 2333, 519, 1394, 540, 519, 15972, 269, 12305, 513, 2638, 11896, 547, 2061, 28198, 689, 15972, 7873, 839, 622, 10024, 519, 6051, 32032, 269, 12305, 9252, 20637, 593, 9252, 3515, 269, 634, 28643, 1058, 581, 1305, 2673, 547, 519, 28643, 269, 8006, 7873, 839, 622, 4015, 1134, 267, 1287, 946, 513, 1507, 8546, 547, 1291, 547, 519, 15972, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 272, 560, 540, 519, 13600, 5608, 543, 968, 1320, 320, 9061, 30030, 1848, 8409, 8964, 1500, 873, 22530, 1513, 543, 2322, 25350, 267, 11882, 267, 593, 519, 4786, 28559, 711, 519, 3003, 29268, 269, 968, 22437, 623, 11069, 892, 676, 9628, 779, 1684, 610, 12603, 3838, 930, 10486, 609, 24942, 774, 13903, 543, 3828, 16695, 267, 899, 741, 3728, 2095, 543, 29268, 6345, 2528, 267, 855, 519, 5152, 8593, 2110, 593, 6237, 3961, 269, 29533, 29268, 986, 13827, 971, 607, 15306, 715, 280, 928, 267, 20707, 289, 7806, 314, 26950, 272, 316, 2073, 14332, 26272, 267, 543, 1866, 267, 1336, 1967, 14350, 855, 1705, 711, 6095, 1676, 10923, 6284, 563, 763, 6560, 585, 29268, 3961, 4797, 2394, 519, 7574, 4367, 540, 1312, 715, 11481, 543, 918, 1415, 324, 4639, 269, 634, 9997, 995, 2504, 543, 29268, 22551, 268, 8083, 2429, 741, 2575, 12630, 513, 9206, 538, 519, 2528, 269, 2201, 2108, 27716, 9546, 802, 5608, 950, 918, 1415, 324, 3081, 267, 968, 2791, 917, 1018, 519, 29268, 568, 286, 8479, 543, 1964, 1652, 5608, 621, 326, 1511, 1648, 543, 11348, 547, 513, 3148, 602, 9247, 4682, 29462, 269, 11531, 267, 715, 11481, 543, 519, 853, 269, 700, 684, 18267, 685, 968, 300, 573, 8054, 4210, 532, 892, 6035, 2629, 11673, 540, 3838, 6237, 5905, 18429, 630, 7945, 607, 5929, 1286, 2528, 264, 1851, 519, 2829, 563, 30952, 519, 9628, 3220, 650, 3280, 5189, 5159, 899, 12751, 3223, 1030, 267, 700, 559, 20736, 330, 267, 717, 6953, 518, 2692, 267, 543, 1866, 269, 5502, 540, 519, 8912, 835, 693, 513, 942, 267, 24354, 779, 5159, 3459, 547, 10836, 538, 1804, 2516, 1765, 19136, 1530, 534, 267, 590, 3385, 17926, 267, 476, 5655, 667, 10212, 267, 20629, 667, 3326, 267, 20858, 576, 13005, 476, 276, 685, 280, 267, 808, 667, 8759, 630, 6020, 303, 1070, 10979, 18875, 26890, 3960, 334, 314, 26950, 273, 316, 2073, 19577, 630, 6020, 303, 1070, 1546, 329, 10753, 2378, 267, 543, 811, 269, 769, 942, 267, 2565, 17192, 814, 1044, 2016, 547, 15616, 6874, 1144, 779, 26554, 519, 681, 1952, 518, 267, 29016, 779, 654, 714, 10609, 531, 604, 320, 267, 543, 12049, 23135, 18582, 2125, 689, 27722, 267, 18518, 269, 2353, 3280, 27723, 1114, 855, 616, 19618, 538, 6041, 563, 275, 269, 634, 3162, 20944, 23985, 547, 17166, 454, 763, 476, 1960, 276, 11905, 22952, 568, 1102, 600, 3585, 630, 663, 1970, 4486, 7301, 569, 264, 1634, 585, 4259, 1055, 519, 5101, 11076, 270, 26156, 11076, 22850, 2112, 269, 12280, 18007, 19475, 16628, 3057, 542, 968, 306, 4007, 892, 26427, 779, 4633, 7933, 1170, 547, 14068, 15196, 16628, 1530, 534, 968, 303, 4428, 344, 892, 1290, 2125, 17275, 513, 5832, 540, 2621, 602, 18864, 693, 519, 942, 1223, 4076, 2062, 16308, 269, 1548, 5949, 896, 519, 16986, 729, 602, 4934, 330, 770, 4465, 519, 8366, 585, 7454, 1715, 14943, 6828, 267, 543, 513, 1762, 27055, 476, 4968, 271, 267, 17729, 29832, 745, 660, 1194, 267, 22283, 547, 519, 8020, 609, 513, 5048, 912, 3719, 621, 779, 899, 713, 267, 555, 334, 269, 594, 6557, 13110, 540, 11570, 1765, 3104, 1018, 594, 6557, 2161, 514, 685, 1765, 29442, 6806, 16490, 11570, 269, 5700, 1018, 594, 6557, 2161, 514, 685, 286, 898, 779, 899, 267, 649, 3893, 513, 1629, 334, 11746, 267, 855, 18864, 530, 13860, 5873, 621, 269, 1809, 621, 779, 899, 713, 281, 5990, 590, 5495, 8025, 717, 5588, 590, 6865, 24518, 5058, 9215, 14408, 312, 269, 2334, 779, 782, 594, 3893, 547, 2161, 2336, 274, 21178, 2931, 685, 4633, 729, 513, 1279, 936, 16746, 3210, 547, 519, 9880, 968, 763, 332, 1524, 1606, 1926, 562, 30995, 1794, 666, 1406, 22850, 17373, 602, 1185, 11478, 585, 1296, 269, 898, 729, 513, 12687, 5346, 1289, 267, 513, 28487, 532, 3956, 267, 543, 513, 3771, 321, 5424, 540, 1018, 729, 547, 2097, 563, 8133, 267, 23806, 971, 607, 1133, 2193, 19279, 543, 1010, 24543, 267, 8419, 2861, 1895, 267, 634, 476, 273, 14970, 595, 4319, 267, 4421, 6634, 540, 5638, 282, 7132, 789, 4465, 513, 4339, 1996, 519, 2136, 2276, 2229, 936, 24890, 602, 782, 986, 13827, 28322, 689, 269, 1656, 5800, 14880, 267, 7147, 267, 5918, 334, 623, 11069, 595, 630, 6020, 303, 264, 543, 645, 684, 645, 1765, 4385, 607, 772, 294, 298, 1765, 516, 548, 1078, 27825, 971, 607, 476, 1960, 277, 779, 681, 573, 514, 685, 667, 8812, 269, 1656, 20640, 4252, 1299, 631, 297, 294, 779, 1290, 514, 685, 4934, 10434, 630, 1960, 274, 264, 8118, 519, 7450, 585, 6490, 874, 529, 267, 17906, 269, 1656, 20279, 779, 5192, 334, 27258, 685, 968, 21790, 29892, 570, 9581, 593, 2725, 892, 630, 1960, 272, 264, 729, 9691, 15197, 543, 6603, 1297, 476, 2537, 593, 9291, 4580, 476, 1911, 269, 2353, 941, 8037, 1568, 676, 4166, 3562, 15515, 268, 5586, 754, 776, 5159, 267, 855, 789, 941, 1869, 25323, 543, 16053, 693, 519, 942, 676, 741, 5101, 11076, 270, 26156, 11076, 9905, 563, 291, 1144, 3162, 12048, 5577, 779, 3210, 547, 27055, 779, 4633, 729, 513, 16795, 18214, 540, 6284, 602, 2919, 883, 17282, 269, 4256, 12081, 3459, 609, 519, 11944, 540, 4830, 10297, 3143, 23423, 543, 22418, 14559, 19475, 2921, 936, 585, 519, 476, 4200, 543, 519, 476, 1220, 271, 338, 269, 3131, 1097, 968, 22913, 623, 892, 16019, 12630, 1010, 9206, 609, 513, 7382, 543, 513, 3143, 23423, 887, 3122, 602, 3769, 3733, 560, 1731, 531, 267, 23183, 2473, 267, 28010, 330, 519, 1744, 29420, 267, 5839, 267, 595, 5336, 584, 1457, 267, 674, 328, 754, 267, 918, 2033, 1299, 2806, 601, 267, 31522, 10937, 590, 3916, 630, 6020, 303, 1070, 543, 16764, 3116, 689, 519, 2451, 2427, 540, 1715, 20252, 267, 17039, 269, 21563, 534, 968, 289, 2273, 2006, 892, 5261, 3366, 22418, 14559, 267, 513, 4130, 543, 811, 16918, 2319, 689, 519, 1482, 2749, 609, 19565, 267, 12395, 267, 28553, 773, 18610, 267, 645, 14371, 1421, 543, 2104, 10828, 700, 559, 31722, 563, 4002, 519, 824, 2427, 729, 6490, 874, 529, 29929, 1895, 8422, 268, 277, 5336, 2378, 807, 267, 4171, 1381, 1739, 5645, 873, 547, 22530, 731, 558, 269, 634, 2038, 476, 1220, 271, 338, 4718, 24611, 267, 11908, 267, 856, 4395, 609, 700, 559, 13744, 543, 519, 5101, 2515, 27258, 3056, 519, 1835, 6064, 2575, 5951, 602, 5189, 5159, 971, 607, 17235, 22994, 267, 962, 532, 18708, 3828, 1231, 267, 700, 559, 2480, 571, 653, 344, 267, 8479, 26108, 345, 314, 26950, 274, 316, 2073, 2558, 650, 6807, 267, 543, 811, 269, 29382, 21115, 342, 630, 6020, 303, 264, 689, 7147, 9447, 21115, 342, 2575, 267, 513, 30281, 26274, 593, 14589, 543, 513, 2511, 602, 849, 3357, 689, 5159, 971, 607, 700, 559, 4469, 760, 267, 2098, 7304, 334, 267, 6754, 9931, 267, 16422, 11669, 18311, 267, 15310, 4793, 630, 6020, 303, 1070, 590, 3916, 774, 1872, 267, 700, 559, 3223, 651, 267, 8262, 7313, 4486, 630, 6020, 303, 264, 543, 811, 563, 307, 15660, 10200, 338, 570, 1905, 631, 15120, 1731, 2968, 513, 8828, 554, 755, 2401, 779, 23573, 269, 898, 729, 519, 10959, 282, 621, 13264, 998, 7496, 543, 12236, 1256, 811, 4055, 543, 2463, 585, 519, 3162, 269, 3973, 267, 8828, 5159, 971, 607, 23160, 659, 5142, 267, 808, 2465, 5414, 267, 918, 14525, 19375, 267, 962, 2426, 808, 665, 267, 654, 10440, 4469, 1442, 320, 4469, 877, 267, 543, 2871, 764, 328, 631, 2033, 4797, 547, 796, 777, 860, 13443, 14736, 538, 519, 9885, 543, 18423, 972, 269, 13536, 986, 13827, 1131, 9772, 570, 15660, 10200, 338, 4542, 543, 1039, 21360, 1765, 4263, 331, 9017, 15972, 2575, 721, 22363, 538, 8892, 267, 476, 2641, 14205, 720, 267, 476, 273, 20456, 345, 267, 8479, 774, 1872, 267, 20353, 657, 267, 543, 1866, 269, 1452, 986, 13827, 270, 10157, 338, 3576, 519, 2463, 789, 14201, 1406, 2016, 543, 723, 4797, 547, 8853, 607, 513, 15913, 267, 1818, 519, 3162, 519, 18678, 3148, 538, 31177, 14929, 2221, 269, 0, 10932, 9137, 11300, 12780, 267, 16671, 5174, 312, 454, 288, 6651, 547, 8564, 11576, 832, 585, 4437, 32441, 1160, 2821, 454, 265, 17357, 22046, 532, 2278, 281, 715, 684, 334, 667, 4040, 1132, 267, 4959, 5085, 268, 4696, 4932, 267, 681, 7699, 1230, 1088, 515, 10098, 2506, 573, 1470, 18937, 541, 549, 267, 17577, 563, 3725, 18727, 281, 4728, 476, 2918, 267, 476, 1001, 280, 15618, 281, 4989, 476, 5400, 267, 476, 1001, 280, 454, 5475, 20074, 606, 5007, 3926, 538, 513, 3461, 267, 621, 568, 2629, 547, 6895, 621, 269, 634, 4161, 540, 1373, 3330, 519, 3461, 543, 519, 991, 547, 1685, 519, 669, 597, 17790, 5106, 547, 7747, 519, 4720, 543, 1533, 568, 513, 2101, 1900, 547, 798, 269, 4746, 267, 519, 2792, 1184, 568, 711, 2653, 269, 2201, 519, 1283, 267, 519, 18349, 21084, 540, 513, 9490, 1560, 543, 519, 2565, 1604, 6799, 606, 3606, 8404, 269, 634, 1459, 1957, 6799, 513, 2143, 1353, 9300, 585, 513, 2647, 2039, 540, 24118, 23083, 543, 3156, 269, 898, 6663, 547, 2491, 543, 4852, 2867, 1125, 1950, 2930, 1702, 538, 513, 2241, 543, 2649, 1043, 1893, 563, 21292, 281, 32190, 267, 16424, 267, 15089, 12771, 267, 29119, 17467, 267, 1955, 17852, 267, 4578, 11601, 267, 6481, 454, 1103, 2596, 2474, 267, 519, 9300, 568, 513, 3926, 602, 2306, 519, 7020, 543, 20781, 609, 606, 3403, 689, 519, 2168, 1604, 269, 1809, 1018, 1223, 581, 891, 11378, 286, 634, 1769, 267, 3002, 267, 5163, 267, 7509, 267, 2604, 267, 610, 1022, 3713, 762, 538, 606, 1604, 4756, 7127, 616, 1806, 269, 4935, 267, 950, 513, 1808, 9300, 11392, 3403, 689, 519, 1604, 267, 621, 15920, 606, 3977, 267, 3622, 513, 5365, 799, 568, 5827, 540, 1373, 10736, 547, 581, 1224, 676, 519, 16267, 610, 10299, 6475, 1227, 998, 513, 1239, 3060, 269, 11576, 832, 616, 2404, 609, 1098, 3027, 619, 267, 7011, 1782, 7403, 267, 27459, 2358, 543, 1852, 3457, 269, 1358, 616, 1031, 1927, 269, 32190, 1797, 513, 3926, 6446, 30397, 513, 1689, 538, 519, 2168, 1604, 543, 21810, 621, 883, 513, 5365, 6446, 666, 581, 6027, 543, 6592, 1247, 519, 2165, 1098, 706, 1356, 568, 3989, 607, 513, 3926, 6446, 19132, 1648, 689, 835, 1062, 547, 1776, 267, 799, 949, 581, 519, 1482, 607, 610, 10736, 1106, 630, 1278, 982, 519, 3312, 1040, 634, 9300, 568, 4294, 547, 3713, 3294, 1247, 519, 1098, 706, 1356, 568, 4294, 547, 519, 15392, 3693, 2404, 609, 1022, 5547, 269, 7612, 476, 272, 2982, 519, 22107, 1228, 5832, 540, 519, 2283, 1681, 1184, 563, 763, 8596, 616, 1031, 538, 513, 3099, 540, 3156, 538, 6080, 267, 2533, 543, 1256, 585, 10820, 269, 26023, 267, 519, 9300, 568, 513, 3926, 602, 814, 519, 1599, 547, 3713, 543, 4431, 547, 1022, 17003, 4398, 269, 15316, 2010, 540, 8596, 4431, 547, 1114, 17003, 267, 971, 607, 281, 3002, 267, 2604, 267, 3350, 267, 1769, 543, 1866, 269, 2991, 519, 9300, 11392, 519, 17003, 267, 922, 1599, 568, 547, 6494, 513, 5365, 602, 666, 581, 10736, 543, 14648, 676, 824, 3457, 269, 634, 3903, 540, 9300, 5673, 9003, 593, 519, 3483, 540, 922, 10380, 269, 1924, 267, 835, 2115, 547, 2708, 2825, 2175, 543, 3442, 519, 1034, 3617, 9300, 585, 602, 2534, 563, 15650, 540, 11576, 832, 454, 1607, 1826, 540, 9300, 3096, 519, 16079, 2132, 2334, 19082, 519, 3432, 540, 3280, 267, 835, 540, 519, 9300, 2010, 1031, 547, 7001, 9883, 269, 634, 17974, 9300, 729, 1031, 538, 21069, 1355, 8254, 543, 568, 1031, 538, 1082, 2090, 2334, 4518, 609, 5067, 541, 1062, 269, 6271, 946, 540, 519, 17974, 9300, 568, 538, 519, 18736, 1062, 540, 519, 1034, 2413, 6517, 630, 8368, 476, 272, 1916, 25821, 8596, 3713, 7648, 538, 5122, 6724, 971, 607, 606, 21561, 538, 3167, 2323, 974, 610, 1256, 8795, 519, 6453, 269, 1452, 2242, 2014, 930, 4990, 540, 5365, 547, 1689, 519, 4567, 540, 513, 1808, 5547, 267, 519, 20794, 6467, 269, 2422, 540, 713, 1826, 540, 9300, 568, 1360, 1455, 538, 6453, 7020, 5547, 267, 936, 9690, 610, 936, 14179, 5653, 4027, 882, 904, 630, 8368, 476, 273, 1916, 306, 839, 832, 540, 713, 1826, 616, 4922, 1031, 547, 3713, 519, 6679, 540, 9885, 610, 9486, 269, 634, 6419, 9300, 3117, 1235, 540, 513, 1507, 5068, 4216, 2334, 814, 538, 922, 3330, 1079, 4496, 19059, 6824, 958, 22274, 269, 634, 2962, 540, 519, 6419, 2361, 568, 10502, 1879, 1358, 1452, 19059, 2673, 267, 1450, 1699, 2095, 269, 901 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3963, 11109, 513, 11162, 8028, 568, 12708, 547, 6153, 2657, 454, 763, 2956, 540, 513, 4509, 513, 2973, 8028, 1522, 9983, 596, 269, 8437, 1934, 547, 1451, 875, 2348, 707, 8028, 5781, 19345, 666, 1764, 707, 1072, 563, 290, 965, 532, 267, 32125, 267, 765, 22689, 267, 2196, 5500, 9224, 267, 28349, 4064, 286, 898, 666, 581, 2653, 547, 12161, 891, 2589, 585, 12119, 11959, 610, 519, 1455, 4411, 563, 3719, 891, 949, 581, 4191, 602, 707, 2011, 14555, 2115, 930, 3007, 563, 4131, 779, 1491, 513, 1413, 693, 1946, 2348, 513, 2973, 8028, 568, 1898, 547, 1434, 1072, 563, 291, 755, 267, 16458, 16164, 19204, 543, 623, 4382, 1938, 454, 2005, 949, 3280, 2186, 320, 14407, 269, 1809, 7452, 568, 5097, 7768, 540, 912, 268, 24538, 3653, 543, 10920, 19397, 7786, 454, 268, 5274, 543, 3662, 2960, 2281, 454, 268, 9995, 543, 13897, 454, 268, 28881, 7912, 454, 4322, 23480, 666, 8886, 622, 519, 10347, 24827, 538, 707, 9224, 543, 2014, 7050, 32125, 543, 513, 2196, 5500, 9224, 563, 2691, 596, 723, 513, 2973, 2011, 6882, 267, 891, 7452, 5536, 616, 6569, 689, 519, 2011, 596, 13236, 563, 21080, 13871, 12019, 543, 12071, 5164, 4926, 454, 763, 6481, 4741, 693, 519, 2160, 540, 15930, 2829, 602, 519, 2298, 540, 707, 7929, 1072, 568, 2047, 1644, 547, 519, 27194, 540, 519, 11255, 2011, 596, 13236, 563, 16352, 513, 2973, 8028, 609, 1164, 7779, 12086, 1797, 596, 2461, 9427, 4551, 543, 8290, 689, 519, 2011, 267, 4227, 707, 8458, 540, 4576, 563, 2791, 917, 875, 3765, 30514, 621, 568, 547, 2097, 1524, 609, 513, 3644, 540, 1022, 2186, 269, 1975, 732, 3054, 519, 31191, 543, 24074, 676, 10115, 538, 2298, 2011, 12086, 547, 2569, 707, 8458, 563, 4517, 5225, 22302, 707, 1071, 22086, 619, 267, 1932, 269, 5213, 1406, 979, 547, 960, 7210, 2336, 303, 1115, 543, 8330, 8676, 454, 288, 2973, 8028, 786, 1118, 621, 811, 2693, 602, 596, 3580, 581, 2111, 547, 6175, 519, 8458, 540, 3384, 10447, 610, 4620, 11959, 563, 2791, 2648, 707, 7314, 269, 1809, 741, 546, 6387, 666, 20739, 752, 688, 22106, 593, 707, 7929, 1062, 563, 2791, 666, 1869, 2879, 10212, 548, 609, 707, 6539, 2906, 543, 1832, 741, 1764, 593, 707, 1072, 693, 513, 1970, 676, 4749, 4657, 707, 2011, 12086, 563, 307, 16464, 4563, 27718, 543, 631, 843, 1168, 454, 7197, 540, 721, 723, 4862, 540, 9044, 543, 7646, 1168, 269, 23225, 518, 540, 721, 616, 5432, 609, 6757, 3109, 9044, 543, 1018, 621, 666, 798, 547, 938, 1072, 563, 14937, 9044, 666, 2445, 593, 2011, 12086, 267, 799, 568, 1946, 621, 779, 865, 1271, 547, 2638, 873, 4749, 563, 14937, 9044, 666, 1106, 1175, 827, 9170, 7509, 25173, 269, 1656, 621, 779, 835, 540, 519, 1034, 5906, 28633, 1472, 269, 898, 20555, 593, 5214, 6878, 1455, 538, 10820, 971, 607, 3819, 13665, 610, 15790, 1115, 563, 22873, 658, 2589, 540, 3109, 9044, 15464, 1331, 912, 268, 30975, 7244, 454, 268, 14627, 550, 25874, 610, 9854, 454, 268, 2480, 337, 2255, 344, 11563, 454, 268, 16685, 267, 9224, 543, 11563, 16698, 454, 268, 18127, 23472, 454, 268, 14627, 550, 14331, 454, 5415, 3978, 2589, 270, 29798, 540, 4797, 4598, 4125, 912, 268, 774, 8089, 909, 454, 268, 28563, 5338, 9224, 454, 268, 10552, 7535, 532, 538, 519, 9641, 454, 14937, 9044, 568, 835, 540, 519, 1034, 14042, 4539, 540, 10714, 532, 547, 2226, 513, 2973, 8028, 269, 634, 1655, 8878, 1996, 3109, 9044, 4598, 568, 2921, 23833, 3800, 971, 607, 912, 268, 21744, 707, 2011, 12086, 2687, 547, 10672, 779, 5528, 454, 268, 10435, 2386, 707, 6885, 4559, 616, 5265, 20177, 454, 268, 7581, 2130, 1022, 11935, 689, 2011, 28954, 1310, 28889, 9934, 3785, 454, 268, 11109, 513, 3318, 8524, 707, 3003, 8028, 1770, 454, 28444, 1005, 513, 11162, 8028, 1280, 2659, 2657, 454, 8855, 267, 3388, 649, 4076, 4857, 4991, 9575, 676, 707, 8028, 779, 2011, 12086, 269, 901, 568, 1946, 621, 779, 865, 1271, 547, 1832, 707, 8028, 2973, 543, 538, 519, 2312, 563, 2252, 596, 2461, 538, 519, 2344, 585, 1007, 2011, 12086, 267, 2638, 721, 856, 693, 20056, 5794, 8606, 1562, 269, 0, 1805, 269, 7338, 814, 4280, 519, 2243, 543, 8325, 2989, 621, 547, 922, 2565, 1448, 281, 646, 12134, 834, 31347, 2441, 581, 519, 2212, 540, 782, 2367, 257, 630, 4306, 8633, 269, 279, 269, 273, 1070, 543, 4267, 796, 25406, 665, 958, 602, 646, 568, 519, 2212, 540, 782, 2367, 267, 8197, 267, 543, 602, 18867, 519, 25386, 1560, 540, 519, 5939, 5161, 540, 782, 2367, 945, 723, 267, 543, 786, 723, 267, 11478, 689, 519, 4098, 540, 519, 1158, 547, 922, 1439, 563, 4942, 3342, 2684, 1227, 267, 519, 20790, 10522, 602, 2441, 568, 1312, 519, 834, 7290, 5566, 2441, 2437, 609, 513, 834, 2181, 268, 257, 543, 834, 14006, 268, 257, 538, 942, 267, 543, 519, 10143, 15851, 1145, 267, 9631, 30876, 6974, 538, 519, 2095, 540, 1686, 267, 609, 9444, 513, 834, 2181, 268, 257, 6862, 513, 834, 14006, 268, 1701, 769, 519, 1769, 540, 891, 6286, 267, 1287, 267, 519, 13513, 540, 1651, 28271, 1131, 2769, 519, 1995, 267, 609, 513, 4266, 538, 1686, 267, 540, 2696, 8757, 883, 812, 543, 13031, 1864, 607, 519, 3465, 775, 602, 568, 519, 2095, 540, 4527, 689, 519, 4098, 540, 519, 1158, 547, 922, 1439, 269, 3778, 568, 2441, 2854, 1804, 563, 1607, 2063, 19862, 568, 711, 538, 4655, 609, 519, 15107, 4577, 834, 2006, 2854, 1804, 1701, 1677, 581, 2386, 267, 519, 1079, 3090, 3359, 8428, 267, 1317, 519, 1101, 835, 568, 1266, 25311, 676, 513, 533, 928, 9964, 1995, 538, 519, 2796, 540, 7225, 24191, 268, 22146, 13414, 267, 1247, 519, 2034, 835, 568, 1266, 25311, 676, 513, 1100, 2045, 1995, 538, 519, 2796, 540, 18774, 21329, 6138, 282, 855, 789, 798, 711, 8428, 609, 2543, 547, 519, 2497, 540, 519, 4641, 3090, 1242, 563, 1103, 1931, 547, 6166, 519, 7663, 8864, 540, 2497, 6829, 538, 1114, 3090, 3359, 267, 594, 4927, 10839, 519, 1898, 8574, 689, 519, 9502, 540, 30634, 1027, 517, 630, 589, 6185, 269, 476, 26493, 264, 834, 5978, 7083, 4906, 2441, 1547, 1547, 1547, 5963, 2696, 543, 5963, 812, 1547, 1547, 1547, 6444, 538, 1079, 562, 2137, 1547, 1547, 1547, 634, 11984, 540, 562, 2137, 1373, 538, 1100, 1259, 3045, 592, 1194, 676, 519, 9769, 267, 855, 2864, 519, 4162, 540, 1142, 2470, 1373, 12873, 543, 4947, 1927, 547, 1106, 835, 1268, 543, 7449, 14571, 4799, 1607, 1130, 5050, 3801, 540, 519, 1273, 637, 547, 2769, 519, 1079, 2987, 14633, 4641, 540, 2696, 781, 7589, 538, 812, 267, 1510, 2901, 18731, 519, 3021, 520, 8864, 540, 519, 1079, 610, 24590, 519, 835, 267, 4145, 519, 1482, 2497, 540, 13591, 4641, 267, 540, 519, 1558, 25404, 267, 519, 14544, 13341, 950, 646, 23607, 812, 781, 9637, 540, 7589, 538, 519, 10143, 2666, 540, 1010, 6228, 269, 634, 4641, 540, 519, 2405, 328, 1807, 543, 519, 13591, 4641, 540, 9637, 723, 519, 1482, 2497, 563, 1103, 519, 7214, 2916, 540, 519, 2085, 267, 938, 2079, 540, 6697, 6698, 949, 1291, 547, 3765, 24483, 269, 2913, 803, 13657, 4061, 281, 519, 14544, 666, 948, 547, 1118, 13414, 4111, 1043, 267, 855, 1100, 811, 982, 602, 281, 513, 6138, 540, 9637, 568, 711, 513, 12990, 585, 13414, 269, 1280, 519, 14544, 568, 513, 812, 538, 3406, 540, 5168, 282, 646, 568, 711, 2696, 13031, 5168, 269, 1547, 1547, 1547, 0, 288, 1377, 4282, 568, 827, 2870, 6054, 269, 634, 17609, 540, 2959, 11855, 1369, 519, 15853, 540, 707, 1378, 8313, 630, 604, 596, 4076, 3893, 835, 264, 949, 2285, 1776, 1797, 547, 1174, 519, 1896, 1114, 2994, 538, 818, 628, 626, 800, 269, 5221, 596, 1131, 547, 1205, 513, 3391, 2689, 267, 1287, 596, 3580, 4983, 519, 5830, 685, 29170, 14843, 267, 1373, 1978, 547, 27464, 2312, 540, 2653, 14592, 269, 2353, 9735, 4282, 6054, 723, 513, 9120, 543, 7347, 15784, 269, 589, 3578, 11208, 513, 23531, 1323, 1557, 3884, 1406, 1152, 513, 17609, 540, 3877, 269, 19866, 2376, 2870, 12346, 2390, 519, 5098, 269, 634, 1557, 3340, 513, 1747, 593, 519, 2339, 543, 666, 1683, 513, 2647, 5943, 585, 6643, 269, 898, 3217, 513, 1747, 593, 519, 3390, 855, 1281, 711, 1683, 513, 5943, 585, 11407, 269, 1677, 17492, 513, 24077, 1557, 267, 596, 991, 547, 1101, 3313, 1018, 707, 1898, 7521, 786, 581, 267, 1287, 11282, 707, 2376, 547, 1711, 602, 4661, 563, 10673, 1406, 1491, 519, 10279, 676, 3054, 563, 25332, 2925, 519, 2694, 540, 707, 1378, 5098, 543, 2285, 513, 851, 540, 707, 5888, 547, 782, 269, 9796, 3007, 547, 519, 1880, 1966, 1369, 519, 5401, 568, 9738, 1282, 513, 2603, 540, 519, 2376, 269, 634, 1557, 949, 1134, 711, 3180, 513, 1747, 593, 519, 1966, 267, 610, 519, 2376, 1522, 1491, 513, 13307, 855, 1810, 1406, 2769, 7787, 525, 547, 1489, 602, 1747, 267, 610, 519, 2376, 2356, 3217, 513, 1747, 855, 1673, 517, 1406, 2844, 513, 18879, 269, 1677, 30134, 513, 2351, 328, 7240, 2376, 267, 596, 3580, 1101, 4983, 3875, 1568, 593, 606, 967, 626, 3907, 27720, 3390, 267, 1519, 519, 21829, 2782, 269, 19060, 268, 612, 904, 2593, 1411, 1058, 1589, 585, 3054, 607, 1134, 607, 2097, 909, 543, 849, 513, 6505, 2856, 685, 547, 2328, 513, 14222, 4282, 2376, 269, 26671, 10123, 2119, 547, 4163, 269, 0, 2690, 1296, 267, 3744, 723, 23503, 519, 2360, 540, 4212, 4616, 593, 1480, 1072, 269, 5221, 5798, 2270, 1164, 2157, 540, 8501, 267, 789, 723, 1044, 10924, 676, 1082, 547, 2333, 1004, 779, 1981, 540, 3384, 18337, 2295, 2068, 630, 6224, 291, 264, 676, 9870, 741, 8501, 2157, 563, 5415, 2487, 2090, 267, 2705, 267, 1397, 602, 519, 4527, 540, 8501, 538, 1426, 2472, 814, 8766, 1764, 593, 2157, 540, 8501, 538, 519, 18072, 338, 540, 1346, 22991, 10438, 971, 3536, 269, 769, 1249, 267, 621, 5526, 602, 1034, 540, 519, 8501, 21883, 538, 513, 1268, 779, 1973, 568, 1500, 676, 602, 1268, 779, 6797, 563, 763, 1353, 267, 5342, 676, 3173, 689, 12309, 779, 20615, 21809, 4659, 543, 667, 299, 310, 31173, 7896, 538, 18096, 267, 729, 14102, 676, 519, 2475, 779, 17378, 12594, 4741, 630, 1173, 340, 2406, 267, 9870, 1761, 7526, 540, 1719, 264, 543, 3370, 538, 519, 4750, 540, 519, 1977, 5441, 540, 12594, 538, 3735, 476, 1001, 277, 563, 763, 2856, 729, 547, 22738, 513, 2689, 543, 909, 3562, 15082, 2079, 540, 4540, 2963, 593, 519, 3095, 1063, 4189, 5798, 543, 519, 4220, 540, 8482, 543, 595, 8461, 563, 763, 20615, 21809, 5937, 299, 310, 1382, 2319, 4857, 782, 17053, 2090, 3370, 909, 547, 4864, 476, 1001, 276, 602, 6743, 693, 4079, 685, 4212, 4616, 543, 2901, 2295, 2068, 610, 8482, 269, 2353, 941, 17053, 20165, 2090, 267, 799, 666, 3313, 12205, 1063, 2188, 855, 711, 519, 4287, 540, 1757, 566, 563, 763, 2319, 7535, 539, 519, 2164, 540, 891, 2090, 267, 1287, 21845, 519, 7535, 539, 1239, 538, 606, 3801, 547, 23754, 2436, 2362, 4212, 4616, 1185, 1022, 1764, 593, 8482, 543, 5924, 595, 8461, 4093, 563, 5445, 849, 6743, 585, 1018, 568, 1634, 607, 513, 2048, 323, 846, 3210, 685, 1107, 602, 568, 267, 1022, 16315, 602, 513, 1268, 779, 1981, 540, 3384, 595, 8461, 610, 7092, 513, 8482, 9782, 610, 8593, 538, 1899, 609, 519, 1297, 540, 5798, 602, 1268, 17696, 538, 606, 3328, 3018, 563, 7197, 540, 519, 2090, 2390, 799, 519, 2079, 729, 5342, 1185, 9286, 2048, 14683, 4212, 4616, 685, 607, 1472, 606, 4212, 829, 1554, 543, 2048, 869, 4212, 4616, 685, 607, 1447, 982, 1079, 5798, 513, 3018, 563, 7197, 267, 855, 711, 782, 519, 2090, 1185, 14661, 741, 1239, 547, 2272, 585, 1476, 15929, 2188, 602, 1223, 723, 4299, 5396, 685, 1981, 540, 2295, 2068, 543, 8482, 267, 971, 607, 2085, 267, 4008, 267, 2597, 267, 3635, 2157, 543, 2834, 640, 267, 7296, 1686, 1107, 543, 267, 538, 513, 1906, 540, 519, 2090, 267, 519, 2048, 8234, 1465, 685, 610, 6382, 540, 5171, 262, 11326, 2949, 563, 763, 3173, 849, 5342, 3044, 4255, 547, 2638, 585, 8313, 9186, 543, 547, 3313, 2436, 741, 5758, 4681, 1185, 1044, 3768, 340, 569, 4299, 676, 835, 610, 811, 540, 519, 2090, 689, 799, 1239, 729, 6537, 563, 763, 20615, 21809, 5937, 299, 310, 13849, 20400, 7000, 1100, 1713, 7681, 1063, 4212, 4616, 543, 2295, 2068, 855, 513, 476, 1321, 2600, 5786, 538, 519 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 543, 3893, 4503, 538, 922, 7524, 12383, 286, 2107, 723, 596, 2938, 19347, 9413, 1759, 593, 2442, 14676, 899, 30064, 5336, 534, 610, 24090, 19716, 286, 22383, 616, 3532, 2645, 602, 666, 2995, 2984, 998, 1148, 543, 1913, 256, 1358, 4312, 1044, 851, 540, 1977, 2528, 2094, 519, 3735, 476, 866, 628, 2540, 267, 855, 1705, 596, 917, 789, 1223, 849, 4001, 721, 1271, 4245, 827, 1686, 543, 1514, 2152, 286, 2913, 781, 4685, 883, 519, 4241, 1158, 540, 14676, 543, 3605, 875, 789, 6655, 6835, 547, 741, 3988, 780, 4089, 476, 272, 281, 1548, 3657, 22383, 888, 4467, 923, 616, 3308, 9423, 12043, 1210, 18615, 2592, 630, 3966, 1564, 264, 1419, 10483, 676, 3061, 687, 543, 4633, 18616, 269, 901, 2189, 4999, 2636, 5159, 547, 2769, 4555, 543, 4664, 3113, 1227, 1247, 23187, 1344, 998, 2854, 1893, 269, 3509, 1589, 14676, 1152, 4183, 27568, 282, 2705, 267, 972, 616, 1082, 11964, 971, 607, 3140, 5708, 267, 15832, 267, 2257, 5708, 267, 14810, 267, 7045, 267, 543, 1256, 3872, 2326, 2439, 4089, 476, 273, 281, 1215, 5620, 22383, 5345, 9407, 3683, 5384, 888, 1103, 519, 2038, 2395, 267, 14676, 941, 2241, 2582, 1790, 534, 601, 12400, 1572, 834, 322, 691, 9398, 2437, 799, 7902, 538, 14786, 269, 13536, 267, 15888, 3323, 9256, 2789, 8440, 883, 17446, 1634, 607, 834, 1260, 545, 17446, 1701, 1635, 519, 4571, 268, 736, 628, 2540, 267, 2407, 27480, 13371, 2835, 2968, 4922, 2139, 267, 10023, 1312, 3312, 3197, 543, 14624, 540, 5339, 27825, 269, 4653, 267, 3059, 5867, 2709, 11995, 7399, 585, 2870, 543, 4687, 1585, 3029, 540, 14676, 11451, 780, 4089, 476, 274, 281, 4208, 2422, 22383, 1306, 12409, 13088, 888, 5331, 1565, 1950, 2035, 1500, 2653, 998, 11541, 3197, 543, 12667, 11052, 256, 2334, 781, 1018, 2306, 14676, 865, 2500, 538, 2069, 269, 2368, 2640, 1331, 1384, 272, 269, 12056, 6881, 2511, 910, 11617, 13267, 3898, 14405, 1053, 538, 543, 6585, 3007, 1732, 982, 2757, 5931, 563, 273, 269, 22217, 1881, 7778, 1107, 7493, 2093, 1831, 811, 24669, 950, 4843, 7258, 2312, 2592, 543, 8766, 2065, 1257, 563, 274, 269, 16508, 4276, 1107, 11541, 3197, 948, 1053, 26003, 1125, 609, 1114, 5380, 543, 3871, 563, 275, 269, 590, 928, 752, 1176, 13181, 1107, 1317, 2542, 14676, 7959, 1187, 2864, 982, 16601, 267, 6267, 10110, 1702, 26968, 5944, 563, 276, 269, 29456, 1107, 23695, 547, 3309, 1565, 6163, 267, 14676, 4196, 607, 3407, 2200, 585, 3308, 267, 17391, 267, 543, 10252, 20469, 6267, 7567, 780, 4089, 476, 275, 281, 7822, 7869, 1656, 4706, 8177, 2201, 22383, 454, 21760, 4249, 513, 1713, 1909, 538, 4259, 519, 7099, 543, 5790, 1369, 14676, 269, 20551, 946, 2681, 3069, 3741, 547, 18427, 1808, 4606, 543, 6547, 689, 3988, 269, 1280, 3236, 267, 3636, 4778, 899, 2699, 267, 10538, 267, 543, 5835, 1522, 24901, 10845, 267, 6612, 267, 610, 23473, 267, 6466, 16830, 24698, 899, 4544, 543, 3039, 2303, 9350, 1145, 610, 18354, 269, 6884, 267, 1498, 267, 14676, 949, 1904, 585, 3109, 7146, 22554, 11247, 3079, 540, 4778, 1813, 547, 30031, 7375, 610, 2504, 3790, 269, 17859, 267, 1142, 3903, 8309, 3648, 547, 2949, 9423, 780, 4089, 476, 276, 281, 10289, 4317, 12983, 3414, 18753, 26358, 454, 3080, 8037, 1383, 540, 21365, 3978, 5396, 3842, 14676, 568, 11835, 601, 4168, 28711, 781, 740, 320, 1632, 540, 25592, 1090, 2473, 269, 918, 754, 328, 781, 853, 2086, 539, 689, 519, 22073, 281, 589, 18753, 3778, 540, 13787, 626, 14313, 538, 3013, 269, 901, 8903, 960, 6770, 547, 1272, 519, 1279, 29280, 6560, 1996, 10168, 538, 519, 2136, 2276, 269, 898, 3096, 11495, 12383, 543, 13801, 32538, 547, 2736, 1524, 7294, 3140, 2621, 543, 6848, 28639, 267, 1818, 621, 4443, 585, 7820, 9458, 547, 10146, 543, 4497, 609, 713, 2565, 3390, 780, 3528, 6220, 14676, 883, 938, 2090, 267, 649, 1930, 6000, 909, 547, 1007, 2081, 540, 1620, 519, 1158, 1472, 721, 269, 1924, 3314, 267, 1985, 942, 596, 4584, 909, 513, 13371, 1433, 267, 1810, 1405, 30391, 922, 1379, 32503, 2811, 8066, 1454, 811, 982, 10742, 519, 3750, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 290, 691, 3019, 626, 543, 19829, 11835, 601, 4168, 28711, 26082, 721, 547, 2911, 827, 1010, 1007, 1433, 853, 2086, 539, 689, 519, 22073, 281, 589, 18753, 3778, 540, 13787, 626, 14313, 538, 3013, 267, 606, 11609, 9542, 540, 25592, 1090, 2473, 269, 918, 754, 328, 779, 476, 1001, 278, 5305, 269, 1261, 3947, 721, 513, 5618, 1686, 540, 14676, 538, 1977, 2528, 543, 11828, 519, 5420, 607, 513, 14229, 21294, 1259, 547, 4001, 1004, 1919, 269, 1284, 849, 1205, 883, 2681, 3069, 543, 3109, 1299, 3043, 8957, 2681, 12449, 563, 763, 853, 2931, 3883, 11833, 5542, 585, 5147, 568, 13772, 5443, 676, 21142, 18703, 543, 25272, 18582, 19490, 269, 1284, 786, 1865, 519, 1433, 593, 5147, 476, 2918, 628, 609, 11835, 601, 4168, 28711, 563, 265, 18814, 547, 519, 2470, 540, 15264, 10229, 267, 891, 4626, 652, 10102, 616, 711, 476, 1911, 260, 4977, 543, 786, 4268, 563, 9199, 857, 7338, 476, 271, 281, 5400, 454, 8702, 547, 634, 853, 2931, 267, 513, 15264, 827, 2835, 543, 519, 1004, 945, 1224, 873, 269, 594, 6557, 707, 3984, 3004, 857, 7338, 543, 2221, 594, 6557, 6340, 609, 11835, 601, 4168, 28711, 267, 945, 779, 606, 14787, 543, 20419, 626, 543, 814, 1175, 5950, 519, 8642, 3209, 4528, 540, 25592, 1090, 2473, 918, 754, 328, 779, 853, 2086, 539, 689, 519, 22073, 269, 634, 1007, 8642, 9542, 3568, 10875, 2192, 340, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 280, 281, 14600, 13578, 7434, 18868, 910, 5295, 17346, 602, 8844, 2439, 5970, 596, 2479, 9289, 875, 707, 1560, 5932, 1648, 286, 4270, 267, 3330, 1142, 540, 707, 2281, 267, 972, 616, 6263, 3889, 1572, 26503, 602, 957, 899, 1379, 2371, 256, 1452, 5863, 2370, 31759, 6460, 1426, 883, 1648, 602, 10173, 3388, 596, 798, 1107, 689, 4881, 1472, 693, 12424, 547, 4974, 2182, 585, 4255, 269, 1809, 1705, 596, 917, 602, 891, 6909, 960, 4243, 525, 849, 723, 1776, 3579, 8945, 909, 741, 19492, 1407, 286, 1358, 666, 1847, 543, 1689, 3337, 1369, 519, 1591, 256, 901, 4241, 2702, 568, 1634, 607, 24197, 6384, 780, 5331, 952, 707, 4884, 781, 1379, 2030, 1223, 30337, 3294, 8164, 621, 2877, 547, 3082, 547, 1007, 3871, 269, 2334, 1131, 581, 7168, 11141, 267, 1318, 286, 4270, 267, 26503, 798, 1175, 602, 256, 1635, 7683, 4657, 741, 2450, 267, 3337, 267, 543, 4087, 1369, 519, 1591, 267, 789, 948, 1832, 938, 4703, 8647, 5688, 958, 269, 2913, 781, 4685, 4514, 883, 713, 13858, 1158, 540, 18784, 2261, 12069, 2439, 1262, 25603, 519, 24812, 26279, 6524, 649, 2263, 24197, 6384, 267, 1577, 781, 1101, 1205, 31235, 609, 930, 1883, 2474, 1384, 265, 2878, 300, 527, 13578, 337, 542, 4995, 589, 1507, 2497, 1336, 3330, 1034, 32541, 2281, 3743, 585, 10451, 1648, 998, 513, 1184, 1572, 10408, 19344, 563, 265, 2878, 28053, 983, 1763, 17508, 4995, 634, 7503, 540, 7280, 543, 5135, 883, 1216, 267, 3327, 8166, 267, 543, 1648, 630, 514, 519, 1106, 540, 21085, 6675, 264, 1369, 519, 26503, 563, 265, 2878, 300, 527, 13578, 7434, 674, 4288, 4995, 1879, 1079, 610, 811, 26503, 19467, 1927, 547, 1711, 835, 3677, 16454, 337, 542, 563, 265, 2878, 300, 527, 13578, 7434, 674, 2153, 4995, 1879, 513, 2582, 16454, 337, 542, 17337, 883, 1079, 5094, 3283, 563, 265, 2878, 300, 582, 1006, 4995, 634, 2702, 540, 26503, 547, 1847, 1369, 519, 32594, 540, 519, 1591, 780, 3086, 602, 649, 1174, 891, 2035, 1732, 267, 1577, 781, 5490, 883, 1946, 24197, 6384, 2339, 865, 1454, 780, 1262, 3963, 645, 1278, 2060, 11873, 286, 26279, 2791, 1522, 4898, 1946, 1945, 607, 9583, 28971, 607, 3001, 1472, 3330, 513, 1591, 1256, 6927, 269, 1717, 267, 24197, 2138, 1006, 4249, 513, 2629, 1909, 538, 4509, 2635, 2281, 269, 1280, 3236, 267, 1282, 3635, 610, 5712, 540, 2799, 10894, 3747, 267, 3742, 2281, 2154, 811, 1648, 269, 1677, 2743, 713, 991, 267, 26503, 1590, 882, 11229, 6251, 547, 1141, 1648, 568, 2838, 1107, 971, 607, 4887, 11103, 1107, 3850, 873, 547, 7561, 1683, 4492, 585, 519, 1560, 781, 2115, 780, 12234, 267, 24197, 3350, 2337, 2226, 1697, 2792, 1063, 1114, 2694, 540, 519, 1591, 269, 3807, 899, 1004, 991, 547, 2911, 547, 835, 1776, 547, 11282, 4247, 267, 1585, 3334, 540, 513, 1591, 7048, 593, 6786, 5293, 2059, 676, 5946, 23493, 1369, 519, 26503, 269, 1403, 891, 4105, 31759, 7948, 1405, 1847, 827, 11884, 267, 1271, 6835, 949, 2760, 3914, 741, 5497, 18353, 2439, 1262, 4537, 16747, 327, 14823, 590, 2314, 22032, 26279, 19741, 6071, 10688, 267, 26503, 10929, 7415, 14759, 998, 3157, 1572, 12760, 543, 31612, 269, 6056, 1394, 547, 1346, 5546, 327, 604, 1562, 538, 9413, 945, 666, 7369, 741, 3029, 547, 9290, 1808, 7653, 269, 6684, 267, 26503, 1689, 3337, 4470, 593, 1018, 519, 1591, 7569, 780, 7628, 2053, 540, 2566, 610, 3441, 267, 2789, 26503, 6443, 4229, 3842, 12760, 547, 9192, 2200, 543, 2149, 2933, 1996, 2800, 269, 17957, 267, 950, 2175, 2087, 267, 891, 1631, 1922, 4310, 26503, 7941, 2899, 1586, 998, 31612, 267, 2870, 8902, 267, 811, 3608, 15556, 5827, 540, 6721, 15792, 1648, 585, 519, 1591, 780, 1607, 3586, 4783, 540, 26399, 543, 12270, 5849, 602, 1152, 519, 16999, 267, 1034, 7347, 26503, 7639, 267, 6038, 3056, 547, 4824, 2949, 1591, 1599, 780, 1262, 1103, 12834, 26279, 300, 527, 13578, 7434, 6384, 1404, 513, 2565, 1909, 538, 5329, 938, 4703, 23832, 2059, 12347, 269, 3245, 15268, 547, 8795, 1648, 4170, 547, 7863, 2933, 1996, 1761, 6937, 267, 891, 7141, 344, 2389, 4176, 1379, 17852, 6542, 9058, 8112, 543, 30506, 269, 1924, 1985, 942, 596, 1265, 3054, 14952, 532, 693, 519, 22406, 4222, 543, 22231, 10268, 676, 2831, 899, 8701, 12217, 267, 3314, 602, 2147, 905, 1846, 540, 16608, 2049, 3232, 1369, 707, 1360, 1378, 2281, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 347, 293, 24580, 2282, 918, 752, 339, 990, 1731, 267, 4446, 614, 6816, 267, 14522, 267, 2136, 2276, 2008, 19064, 6897, 7703, 2039, 2008, 763, 8701, 7703, 630, 308, 3464, 639, 2261, 527, 574, 639, 264, 568, 513, 1804, 7703, 5065, 547, 519, 11848, 543, 7404, 2127, 269, 898, 568, 5702, 1644, 547, 519, 6960, 7703, 267, 543, 519, 1079, 2249, 666, 954, 3691, 539, 269, 634, 8701, 7703, 568, 519, 4102, 31607, 2249, 540, 7703, 543, 2244, 23097, 648, 267, 609, 2937, 9038, 20604, 476, 4968, 1700, 8517, 4846, 630, 32133, 1700, 272, 267, 31318, 18470, 1040, 634, 2249, 568, 16770, 3897, 6973, 545, 267, 607, 2937, 8951, 616, 1454, 4130, 269, 634, 8701, 7703, 568, 3043, 268, 610, 5835, 880, 1922, 13899, 609, 3109, 2960, 543, 513, 5394, 4494, 540, 3170, 269, 898, 568, 811, 28795, 982, 519, 6960, 7703, 267, 609, 513, 7522, 518, 15693, 267, 3476, 8405, 543, 2539, 13105, 1208, 335, 269, 4706, 4522, 616, 5857, 704, 543, 811, 9862, 547, 5969, 5779, 269, 634, 533, 9155, 616, 1804, 543, 1450, 519, 7703, 547, 3802, 593, 4672, 543, 31784, 538, 519, 1216, 563, 303, 6897, 12217, 616, 1312, 18714, 543, 533, 698, 30858, 630, 823, 2000, 1516, 264, 543, 616, 2808, 547, 581, 7286, 11864, 1813, 547, 741, 13829, 593, 7286, 8134, 269, 1358, 4782, 519, 5993, 4262, 4672, 855, 2661, 593, 2244, 950, 519, 4672, 5283, 1206, 538, 519, 4832, 269, 1358, 616, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 300, 527, 13578, 7434, 18868, 257, 607, 851, 540, 834, 306, 11799, 1315, 5020, 7070, 1315, 8426, 10334, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5499, 2029, 18252, 713, 6240, 547, 1683, 513, 9023, 1198, 538, 5656, 269, 1635, 8744, 538, 3636, 543, 3819, 19355, 2011, 593, 3905, 2395, 543, 13936, 621, 1369, 519, 2679, 781, 6821, 267, 799, 616, 1202, 4327, 609, 2326, 971, 607, 23741, 4740, 267, 21958, 15074, 267, 610, 3574, 15144, 267, 11195, 568, 12842, 269, 1879, 519, 6740, 2011, 5555, 18493, 919, 267, 621, 25309, 1648, 543, 3579, 338, 519, 2679, 563, 2691, 519, 2837, 12772, 267, 669, 11035, 543, 14927, 2011, 13788, 519, 1858, 267, 543, 607, 621, 568, 3144, 538, 267, 621, 12651, 519, 2837, 267, 3246, 14246, 547, 5321, 610, 13646, 269, 4340, 547, 2098, 577, 9461, 267, 713, 568, 513, 2067, 12136, 563, 307, 615, 332, 11561, 518, 571, 781, 10421, 568, 796, 23896, 762, 267, 609, 5111, 476, 2412, 260, 540, 519, 1158, 781, 1648, 4616, 1373, 1031, 585, 2837, 7939, 538, 5656, 267, 543, 5656, 8051, 585, 476, 1789, 260, 540, 519, 1158, 781, 1648, 6165, 267, 519, 991, 585, 1007, 4066, 899, 26457, 11561, 518, 571, 568, 10423, 563, 307, 615, 332, 11561, 518, 571, 13333, 676, 10128, 513, 3060, 540, 28954, 543, 31026, 1080, 883, 513, 9241, 9112, 3774, 269, 1280, 2907, 3964, 5656, 267, 513, 1007, 3655, 9809, 1228, 5627, 3710, 2987, 13471, 543, 28954, 666, 581, 11368, 883, 519, 4540, 6821, 563, 8601, 8506, 513, 1906, 3606, 6279, 267, 519, 2640, 540, 4389, 2825, 1764, 543, 2883, 9806, 616, 8101, 269, 4340, 547, 2098, 577, 9461, 267, 1519, 26457, 11561, 518, 571, 2029, 1282, 513, 2679, 781, 4070, 1184, 666, 2569, 8022, 543, 9023, 3790, 676, 607, 1454, 607, 3368, 610, 1256, 9004, 873, 15587, 538, 1978, 8320, 563, 763, 1062, 16621, 606, 10995, 10178, 267, 15841, 5196, 519, 3774, 543, 13234, 676, 6620, 267, 799, 7561, 6933, 919, 3905, 610, 4411, 2011, 607, 2877, 269, 901, 2582, 5057, 568, 519, 6852, 5201, 17466, 3693, 540, 519, 1062, 563, 307, 615, 332, 11561, 518, 571, 779, 1062, 568, 7768, 540, 1614, 1292, 3334, 912, 1805, 4392, 13111, 1107, 2027, 10338, 1570, 14095, 3330, 513, 3774, 609, 2011, 9055, 2966, 585, 5021, 2011, 2095, 563, 288, 1062, 540, 11655, 267, 28954, 543, 14927, 619, 563, 30874, 300, 655, 31416, 9967, 540, 14164, 5100, 8596, 267, 519, 17120, 267, 6620, 543, 6531, 7384, 563, 307, 615, 332, 11561, 518, 571, 18271, 2189, 1216, 268, 25388, 6883, 2326, 543, 513, 28106, 1852, 1062, 547, 10244, 11195, 2242, 269, 901, 1184, 10997, 519, 13471, 1570, 267, 7175, 621, 547, 1831, 5671, 518, 1282, 519, 5162, 543, 2481, 704, 1282, 519, 4832, 269, 26457, 11561, 518, 571, 1287, 11573, 1137, 713, 1184, 547, 10038, 519, 2837, 676, 16550, 2011, 998, 519, 1570, 267, 16089, 3905, 610, 4411, 2011, 607, 2877, 563, 307, 615, 332, 11561, 518, 571, 781, 2029, 666, 581, 8045, 538, 1082, 3029, 269, 630, 10135, 3633, 3951, 281, 26457, 11561, 518, 571, 994, 307, 615, 332, 11561, 518, 571, 781, 1062, 16111, 10596, 19355, 2011, 998, 519, 13471, 1570, 547, 1711, 513, 811, 7059, 1604, 269, 901, 1184, 6971, 519, 10335, 540, 2837, 543, 11195, 15088, 267, 4611, 538, 513, 811, 6899, 11255, 2916, 563, 288, 1483, 1764, 454, 307, 615, 332, 11561, 518, 571, 267, 2212, 32483, 1229, 538, 2549, 597, 574, 267, 513, 6917, 22191, 324, 2146, 267, 729, 8547, 676, 2098, 577, 9461, 269, 3571, 2856, 585, 26457, 11561, 518, 571, 729, 6273, 676, 1010, 1378, 1995, 2679, 513, 3039, 1753, 538, 519, 1482, 2146, 1634, 585, 922, 2825, 4656, 269, 2098, 577, 9461, 8246, 782, 519, 2029, 646, 6785, 547, 1118, 513, 4642, 20589, 1753, 267, 855, 519, 1267, 729, 513, 2777, 602, 729, 4625, 1055, 519, 7470, 543, 1510, 1022, 3574, 610, 824, 1648, 269, 9182, 267, 646, 4810, 4411, 1145, 1282, 519, 5162, 563, 307, 615, 332, 11561, 518, 571, 781, 31601, 2029, 10244, 525, 1648, 689, 15088, 538, 11195, 269, 630, 10135, 3633, 3951, 281, 26457, 11561, 518, 571, 994, 6097, 547, 2098, 577, 9461, 267, 968, 296, 3710, 513, 4642, 20589, 1753, 676, 6220, 782, 519, 2029, 594, 6785, 267, 855, 519, 2777, 729, 4625, 1055, 519, 7470, 267, 543, 594, 4769, 1405, 946, 1022, 3574, 610, 1022, 824, 1648, 269, 594, 729, 2451, 4743, 4411, 1282, 5162, 1848, 26457, 11561, 518, 571, 267, 1631, 2212, 32483, 1229, 538, 2549, 597, 574, 267, 513, 6917, 22191, 324, 2146, 1634, 585, 922, 2825, 9637, 267, 729, 22885, 676, 2098, 577, 9461, 1247, 14335, 1010, 3039, 1753, 563, 18814, 547, 1010, 6791, 538, 24684, 267, 6683, 267, 7344, 4702, 267, 543, 3039, 4070, 267, 2098, 577, 9461, 3357, 547, 519, 20185, 602, 11195, 9023, 543, 8022, 1223, 581, 6913, 609, 3362, 2139, 2326, 2864, 982, 1950, 543, 4686, 2609, 602, 2154, 1104, 566, 563, 313, 577, 9461, 14550, 602, 1585, 2326, 666, 10110, 11195, 543, 22919, 8112, 269, 1280, 3236, 267, 6028, 513, 11356, 896, 519, 3141, 786, 1118, 621, 3819, 543, 28221, 267, 855, 11093, 621, 538, 513, 14927, 4055, 786, 5512, 621, 547, 10110, 11195, 543, 1831, 8465, 1586, 563, 763, 6240, 540, 9001, 11195, 547, 10038, 2837, 568, 11342, 538, 1585, 2326, 269, 12465, 5656, 1500, 540, 16095, 543, 10036, 616, 5140, 693, 20808, 3002, 543, 5329, 519, 4411, 856, 676, 9001, 11195, 563, 3528, 3854, 1944, 593, 519, 2067, 15088, 538, 11195, 267, 2098, 577, 9461, 4362, 602, 646, 1223, 6318, 519, 2837, 538, 1010, 2777, 689, 476, 1321, 5232, 17622, 630, 7871, 269, 277, 18278, 264, 547, 476, 2918, 595, 630, 4281, 269, 279, 674, 1916, 313, 577, 9461, 8098, 1080, 602, 1010, 2777, 729, 711, 519, 4998, 6169, 6361, 8410, 1061, 267, 17548, 267, 834, 2005, 781, 513, 2189, 2777, 269, 594, 4941, 547, 6542, 602, 938, 12191, 1223, 581, 1031, 593, 811, 6093, 3889, 267, 1141, 621, 1223, 1118, 513, 9758, 3017, 4799, 288, 1689, 538, 519, 1158, 454, 1103, 476, 1001, 276, 267, 26457, 11561, 518, 571, 729, 3964, 676, 2098, 577, 9461, 267, 2059, 609, 14664, 18607, 22819, 3240, 31089, 2006, 543, 1239, 2079, 4274, 962, 517, 27979, 26637, 269, 634, 2754, 4867, 18271, 513, 2319, 540, 2947, 2043, 563, 763, 2754, 781, 7616, 814, 1044, 6508, 689, 2789, 2959, 267, 1519, 519, 18303, 12080, 540, 6052, 267, 519, 5840, 16743, 16958, 267, 543, 519, 27428, 2933, 269, 3958, 267, 26457, 11561, 518, 571, 814, 4294, 585, 513, 1382, 9886, 689, 519, 9167, 563, 307, 615, 332, 11561, 518, 571, 814, 4607, 2883, 1489, 689, 519, 17747, 16735, 5787, 1807, 267, 799, 568, 23032, 676, 570, 611, 597, 534, 267, 606, 18303, 2011, 14555, 10672, 269, 2098, 577, 9461, 6941, 602, 519, 2319, 814, 32524, 609, 570, 611, 597, 534, 781, 8030, 547, 2232, 741, 11195, 2152, 543, 547, 2569, 1648, 4616, 563, 763, 26457, 11561, 518, 571, 2319, 568, 6131, 543, 25981, 827, 741, 960, 269, 2098, 577, 9461, 31061, 606, 2038, 7237, 609, 513, 9952, 27732, 945, 729, 8348, 547, 960, 1510, 2628, 269, 634, 27732, 1185, 5892, 5249, 585, 513, 5491, 3556, 2754, 267, 3384, 3642, 602, 9415, 1004, 547, 6108, 811, 269, 1717, 267, 789, 5551, 547, 3565, 547, 513, 3152, 2014, 543, 1118, 513, 2318, 1764, 538, 519, 1158, 563, 14454, 267, 26457, 11561, 518, 571, 568, 606, 5499, 2754, 602, 568, 13730, 827, 4227, 1648, 4616, 543, 1818, 513, 3017, 538, 519, 1158, 563, 307, 615, 332, 11561, 518, 571, 9027, 919, 602, 7598, 513, 11195, 2770, 551, 6672, 8022, 543, 9023, 1062, 538, 513, 476, 1911, 30026, 2173, 2678, 4357, 1753, 786, 1942, 10199, 1269, 274, 267, 6110, 269, 901, 1942, 2882, 3773, 17032, 2533, 971, 607, 8673, 543, 3154, 13451, 7020, 267, 607, 1134, 607, 11255, 2011, 5533, 5464, 543, 19003, 563, 4407, 26457, 11561, 518, 571, 786, 711, 1374, 922, 1378, 13471, 267, 621, 4566, 547, 12840, 609, 25255, 547, 4020, 519, 12809, 851, 540, 519, 1062, 269, 17497, 267, 519, 2754, 568, 5275, 971, 513, 5698, 267, 607, 621, 568, 538, 519, 22984, 540, 1587, 1646, 543, 10647, 6901, 538, 1585, 2694, 540, 5840, 563, 1103, 519, 2104, 267, 26457, 11561, 518, 571, 13922, 547, 4228, 922, 2533, 547, 1331, 9023, 1949, 585, 6517, 269, 13018, 267, 519, 2754, 26195, 2888, 1210, 18493, 894, 1216, 19122, 16074, 547, 3579, 1524, 6517, 602, 723, 1044, 9361, 538, 519, 3141, 543, 723, 1831, 23986, 730, 563, 290, 944, 532, 543, 8022, 616, 4909, 2115, 7488, 540, 4087, 267, 2436, 621, 781, 513, 1286, 267, 1753, 267, 610, 1022, 824, 1747, 269, 2098, 577, 9461, 26342, 519, 4644, 540, 891, 2115, 543, 6663, 547, 7668, 2043, 676, 7175, 873, 547, 1118, 741, 5321, 1582, 1606, 11211, 538, 2474, 540, 9023, 543, 8022, 563, 2690, 811, 2257, 3377, 2984, 2638, 856, 938, 1715, 11627, 725, 3296, 693, 634, 5696, 7660, 17121, 540, 5240, 563, 9616, 281, 10049, 3177, 1657, 676, 634, 5696, 7660, 17121, 540, 5240, 269, 12474, 949, 581, 12995, 585, 2511, 543, 3259, 563, 12024, 891, 2186, 540, 1745, 1434, 2984, 286, 5192, 519, 5696, 7660, 17121, 540, 5240, 262, 20394, 269, 0, 1432, 1411, 26419, 10261, 547, 5700, 6168, 5678, 16497, 585, 513, 12389, 4065, 454, 2691, 1250, 9510, 729, 2469, 883, 476, 274, 6113, 3446, 267, 519, 29224, 1893, 6575, 6437, 538, 519, 18954, 2344, 8604, 547, 581, 5678, 16497, 585, 513, 12389, 4065, 563, 296, 8068, 513, 9522, 540, 669, 2660, 543, 8039, 689, 21075, 267, 642, 8421, 338, 267, 543, 824, 4025, 782, 10704, 1472, 713, 23519, 602, 1175, 3357, 856, 689, 9457, 7734, 269, 898, 8604, 899, 519, 3501, 3514, 585, 721, 693, 519, 942, 267, 543, 594, 4956, 547, 4685, 883, 621, 543, 2285, 621, 513, 2119, 2336, 296, 993, 9599, 547, 12235, 1250, 1378, 5678, 16497, 585, 513, 12389, 4065, 2689, 883, 519, 3575, 543, 948, 18954, 31908, 856, 972, 6430, 952, 713, 6437, 568, 519, 1318, 3514, 585, 873, 563, 6826, 19230, 281, 594, 993, 14697, 958, 9237, 543, 1360, 2143, 609, 938, 1995, 269, 594, 4126, 596, 2503, 4986, 1447, 689, 513, 8284, 18954, 3158, 538, 519, 512, 29168, 540, 6437, 9140, 563, 1103, 713, 2689, 267, 596, 616, 2469, 547, 1265, 856, 1018, 519, 6437, 568, 267, 4010, 1018, 513, 3018, 540, 713, 6437, 5654, 899, 267, 1018, 649, 6068, 827, 621, 267, 1018, 649, 4769, 1406, 2648, 827, 621, 267, 945, 713, 6437, 1568, 585, 267, 543, 945, 713, 6437, 4440, 4465, 1406, 960, 585, 563, 1432, 568, 5678, 16497, 585, 513, 12389, 4065, 888, 23458, 16497, 585, 513, 12389, 4065, 568, 513, 23770, 28224, 1759, 1893, 6575, 6437, 689, 9457, 7734, 563, 2005, 5205, 519, 11173, 1650, 540, 12130, 1695, 543, 1849, 18311, 630, 327, 2345, 1041, 539, 21054, 1070, 945, 1205, 547, 4019, 3388, 789, 2461, 1565, 538, 1483, 1272, 3498, 7653, 2336, 2791, 786, 991, 547, 4444, 835, 23519, 543, 519, 7222, 476, 6200, 674, 2948, 924, 12267, 689, 519, 6426, 585, 707, 2875, 563, 2080, 568, 513, 2407, 6609, 689, 519, 9457, 7734, 3896, 912, 268, 589, 23770, 28224, 7657, 1819, 1935, 547, 10026, 1893, 6575, 454, 268, 1230, 1597, 1304, 3232, 8430, 2443, 9494, 596, 3992, 3341, 942, 454, 268, 10374, 267, 2502, 476, 736, 268, 1789, 8792, 4245, 454, 268, 9452, 2861, 1935, 609, 1915, 20671, 4798, 454, 268, 20405, 569, 1628, 13002, 26176, 2088, 585, 7820, 1053, 454, 268, 19019, 531, 11100, 540, 2984, 267, 5299, 1740, 267, 5711, 32538, 543, 3946, 6823, 1995, 547, 3142, 2035, 547, 1272, 454, 268, 476, 277, 2157, 6098, 585, 476, 272, 560, 1107, 476, 277, 628, 3446, 454, 23458, 16497, 585, 513, 12389, 4065, 281, 22549, 1548, 513, 10432, 538, 713, 15099, 6733, 338, 6145, 454, 23458, 16497, 585, 513, 12389, 4065, 814, 513, 1360, 22150, 6296, 2429, 519, 3018, 563, 296, 1589, 1250, 1126, 2731, 10150, 6616, 1018, 547, 2503, 543, 1018, 729, 4947, 909, 563, 296, 993, 2469, 547, 1397, 596, 875, 513, 6093, 3018, 1131, 2196, 1210, 7689, 476, 279, 689, 5678, 16497, 585, 513, 12389, 4065, 476, 274, 563, 7052, 8170, 1576, 972, 616, 930, 7648, 607, 1114, 2035, 616, 6026, 2429, 519, 1032, 269, 901, 568, 1175, 513, 25135, 14653, 540, 835, 3018, 563, 31388, 281, 7335, 267, 15881, 566, 267, 6490, 528, 1436, 630, 19865, 476, 272, 994, 2467, 568, 513, 5542, 547, 1224, 2059, 609, 707, 1126, 269, 1411, 1224, 519, 2834, 1257, 267, 543, 707, 1126, 14509, 519, 10538, 12006, 1257, 563, 4263, 519 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4267, 11992, 1765, 16838, 952, 1346, 8925, 1219, 344, 7954, 610, 3964, 5013, 780, 5194, 3815, 7700, 547, 3661, 538, 24242, 6436, 568, 1514, 3310, 269, 1879, 2828, 267, 1920, 2818, 267, 610, 2228, 2950, 2671, 891, 2093, 267, 2043, 1369, 873, 949, 1376, 15819, 4922, 7608, 18408, 269, 3958, 267, 21533, 9186, 4249, 513, 1909, 1934, 1932, 282, 2899, 2576, 11099, 538, 513, 1880, 2856, 267, 789, 4043, 547, 1413, 585, 1344, 602, 7028, 621, 1247, 24937, 15852, 5784, 780, 15563, 267, 4250, 543, 10462, 1404, 1713, 5107, 538, 5807, 10343, 540, 24242, 6436, 269, 4438, 7334, 2053, 267, 1004, 6159, 557, 3137, 543, 3354, 269, 1403, 6035, 606, 7778, 267, 2705, 5579, 9476, 1043, 267, 621, 666, 3100, 30074, 547, 6849, 13509, 269, 901, 7287, 585, 1852, 543, 1620, 2306, 2043, 811, 11630, 547, 18468, 538, 4244, 6386, 780, 5719, 321, 6064, 532, 3733, 2195, 543, 18964, 11879, 15154, 454, 14343, 15365, 2026, 7855, 267, 938, 3804, 3884, 1405, 8806, 547, 14962, 24242, 6436, 855, 547, 4001, 2565, 3206, 1983, 2556, 547, 6218, 1344, 1843, 1947, 269, 1635, 6313, 3140, 8320, 899, 519, 25065, 3047, 7869, 267, 649, 666, 948, 1053, 1174, 875, 25749, 19082, 543, 1451, 2994, 547, 2697, 31877, 2959, 780, 2080, 616, 930, 3268, 547, 6536, 2635, 25949, 543, 3895, 5483, 3375, 6194, 1384, 265, 2878, 9223, 3388, 5093, 11559, 1053, 547, 2307, 2055, 827, 1022, 1344, 789, 7237, 269, 5808, 2813, 713, 2707, 286, 1548, 12886, 1522, 789, 723, 286, 1772, 972, 1022, 2963, 5885, 741, 6811, 888, 265, 2878, 13425, 2789, 2959, 4995, 17546, 707, 1362, 547, 5077, 3309, 2959, 1354, 8108, 8369, 269, 22452, 547, 8795, 16752, 2636, 585, 1732, 26455, 3664, 563, 265, 2878, 16100, 585, 17258, 10832, 4995, 8058, 707, 1053, 875, 547, 5431, 22973, 2959, 676, 10992, 2188, 899, 2278, 20340, 267, 8313, 4266, 267, 9263, 2689, 1184, 630, 1721, 3621, 4930, 1070, 543, 9000, 540, 10229, 12018, 1543, 563, 265, 2878, 21886, 5971, 1930, 5188, 4995, 8073, 513, 2922, 4928, 1604, 1141, 1053, 1745, 6899, 11589, 4555, 543, 6998, 2055, 1510, 10385, 269, 901, 8992, 1565, 543, 3408, 780, 3528, 3695, 3584, 899, 519, 25065, 3047, 7869, 543, 7234, 519, 2470, 540, 24242, 6436, 267, 649, 7668, 938, 1053, 547, 1831, 4830, 17024, 5827, 540, 10188, 1950, 2152, 538, 938, 6385, 4657, 1158, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3963, 798, 1004, 2887, 585, 24242, 6436, 454, 3963, 1004, 3494, 538, 24242, 6436, 267, 609, 27239, 19958, 267, 12854, 454, 298, 574, 24759, 281, 3683, 519, 2250, 1032, 607, 5046, 268, 866, 4224, 9643, 1472, 519, 1158, 267, 24242, 6436, 3533, 4553, 269, 7831, 5614, 267, 19421, 540, 1591, 6049, 20610, 941, 1305, 513, 18723, 2066, 2342, 267, 8015, 24242, 6436, 602, 519, 476, 276, 294, 20610, 941, 10825, 5046, 268, 866, 269, 769, 5130, 267, 513, 16855, 14278, 626, 729, 9901, 609, 22393, 21006, 7366, 540, 13066, 540, 519, 9241, 2139, 5046, 476, 866, 6669, 1317, 646, 5156, 513, 24242, 3069, 602, 519, 6669, 1131, 1689, 1480, 5027, 269, 1656, 930, 1004, 616, 7682, 532, 602, 519, 3644, 3294, 729, 22041, 676, 519, 4457, 563, 4322, 5749, 1405, 519, 1152, 24242, 6436, 1818, 538, 30030, 1318, 1631, 269, 589, 5181, 623, 1168, 3194, 4741, 5619, 1336, 602, 811, 982, 3368, 540, 4892, 723, 4862, 693, 2547, 513, 2370, 827, 1627, 2304, 517, 267, 519, 7294, 1357, 540, 605, 6874, 337, 2794, 24242, 6436, 602, 12090, 593, 519, 5048, 4604, 476, 275, 2559, 269, 769, 5437, 267, 1079, 10457, 945, 21350, 5367, 1489, 585, 1627, 2304, 517, 512, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 14503, 520, 3047, 7869, 257, 607, 851, 540, 834, 24719, 13316, 1315, 3117, 335, 16820, 28636, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 7170, 281, 5545, 1977, 2902, 618, 15881, 2510, 281, 12267, 2334, 10261, 1677, 2142, 570, 1245, 692, 5970, 596, 2479, 4862, 540, 513, 942, 950, 1004, 781, 2729, 941, 5828, 26700, 1524, 1317, 540, 1141, 789, 3357, 689, 286, 901, 5949, 1282, 2622, 2782, 4083, 538, 519, 2136, 2276, 547, 1004, 540, 5545, 16350, 269, 4634, 1498, 789, 941, 1977, 4961, 610, 3656, 7264, 267, 789, 941, 7142, 547, 4734, 741, 5321, 543, 979, 547, 2027, 13122, 1572, 2028, 618, 13122, 269, 898, 729, 513, 2352, 543, 15490, 1995, 267, 855, 1082, 540, 891, 2043, 3838, 741, 2984, 998, 2835, 543, 824, 12591, 269, 1452, 6386, 948, 721, 1174, 1018, 5949, 543, 875, 621, 4299, 873, 780, 5331, 24386, 1152, 1018, 596, 1223, 4163, 543, 6028, 707, 1753, 3297, 269, 901, 568, 1018, 5215, 540, 5545, 4892, 1185, 547, 798, 1282, 2622, 2782, 4083, 269, 2991, 3567, 16091, 23421, 23320, 538, 16127, 267, 1082, 4892, 2968, 19035, 540, 4896, 945, 6743, 899, 789, 1522, 581, 689, 3567, 269, 17652, 267, 519, 2229, 4956, 547, 6494, 782, 1004, 540, 5545, 22693, 630, 16838, 952, 789, 941, 4535, 538, 3013, 264, 547, 2661, 538, 9678, 13122, 780, 4322, 2028, 618, 13122, 941, 1419, 4092, 538, 6552, 2127, 267, 899, 24301, 610, 2220, 10102, 269, 19198, 5030, 538, 1507, 11623, 267, 3006, 1256, 7504, 588, 8712, 267, 543, 3838, 8602, 7741, 543, 3190, 31508, 609, 7366, 540, 1866, 269, 1703, 729, 2370, 7834, 267, 543, 2175, 941, 4057, 269, 6736, 891, 23434, 267, 1082, 5545, 4892, 1336, 2081, 547, 1832, 741, 14326, 909, 676, 2870, 1148, 267, 2575, 267, 543, 8108, 2950, 1369, 519, 13122, 780, 3080, 3532, 1259, 5545, 4892, 3838, 741, 2833, 729, 998, 3332, 269, 7734, 971, 607, 834, 293, 732, 6202, 547, 2494, 345, 534, 541, 257, 676, 14639, 928, 654, 752, 1846, 25431, 20279, 543, 6276, 667, 269, 20279, 267, 543, 834, 763, 4750, 540, 5484, 772, 577, 5866, 257, 676, 31550, 9324, 28086, 2709, 1350, 31663, 525, 883, 1272, 3330, 519, 13122, 269, 7335, 891, 6386, 2636, 721, 547, 1294, 519, 2591, 267, 2295, 19874, 267, 543, 6043, 540, 1346, 945, 28815, 2028, 618, 269, 1284, 666, 1451, 3407, 4245, 827, 14882, 267, 4250, 267, 543, 519, 2956, 540, 7555, 909, 585, 5126, 780, 8448, 5830, 8359, 1114, 12043, 547, 2995, 741, 2984, 269, 1280, 1383, 267, 834, 14399, 540, 5440, 1794, 257, 676, 7812, 744, 269, 570, 18365, 749, 8843, 20250, 6589, 689, 1453, 2713, 538, 519, 5440, 1794, 3786, 538, 18096, 269, 20551, 899, 3687, 2946, 21411, 889, 334, 2813, 3308, 6386, 267, 1210, 12383, 547, 6655, 519, 3232, 9620, 543, 4664, 4810, 676, 954, 928, 525, 269, 4173, 1433, 267, 834, 290, 527, 714, 523, 476, 15793, 2568, 2437, 3091, 513, 2189, 5133, 593, 1272, 538, 18000, 1721, 534, 13909, 4741, 543, 5440, 1794, 4039, 6327, 4741, 780, 2005, 781, 1898, 547, 2263, 1585, 5339, 10070, 547, 9787, 519, 2407, 1764, 540, 519, 5545, 1977, 2028, 618, 269, 1635, 3257, 865, 267, 649, 8956, 519, 8823, 540, 1346, 945, 4682, 998, 713, 4101, 1974, 543, 7618, 6000, 547, 1796, 1996, 7130, 543, 21440, 780, 9961, 1686, 267, 1004, 3068, 7965, 543, 9465, 269, 8616, 267, 2542, 827, 891, 2833, 2337, 721, 1332, 6568, 543, 1620, 269, 1306, 596, 5490, 4514, 883, 5545, 1977, 2028, 618, 6386, 267, 1589, 827, 519, 1379, 540, 9423, 543, 922, 1909, 538, 5935, 938, 5380, 543, 2418, 269, 5457, 267, 3025, 814, 513, 1650, 4502, 6217, 11652, 4687, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 24038, 568, 4413, 335, 8215, 538, 713, 5037, 269, 4746, 6148, 2015, 4758, 519, 3593, 3817, 585, 1433, 16287, 610, 693, 2547, 513, 1259, 547, 5031, 1271, 3877, 789, 949, 1265, 2556, 547, 946, 2663, 563, 6865, 294, 267, 798, 1022, 540, 721, 2965, 917, 945, 1500, 713, 3239, 286, 4460, 11875, 328, 2714, 543, 594, 723, 1044, 7234, 585, 1296, 9462, 30904, 634, 23678, 591, 568, 3627, 18039, 717, 3796, 282, 519, 7376, 729, 9710, 26559, 645, 622, 2006, 269, 2311, 1018, 1448, 798, 594, 1205, 930, 2648, 585, 759, 584, 5550, 532, 713, 3239, 9462, 30904, 454, 3383, 4432, 12578, 29807, 976, 568, 827, 547, 2097, 856, 609, 513, 2462, 543, 1271, 1433, 593, 519, 918, 298, 298, 1107, 3810, 4363, 3168, 693, 1200, 960, 1354, 4881, 713, 269, 2701, 10416, 5267, 972, 729, 1100, 737, 17427, 2336, 10498, 267, 945, 1197, 1196, 1080, 713, 3184, 949, 1616, 547, 10544, 1261, 1430, 30532, 27672, 517, 779, 4639, 689, 2561, 558, 16201, 343, 543, 1205, 930, 4639, 538, 972, 269, 1358, 949, 849, 1616, 547, 1331, 1945, 593, 519, 4473, 540, 8257, 8637, 543, 4683, 7082, 16851, 282, 543, 6368, 267, 585, 519, 2648, 540, 23920, 4620, 324, 267, 666, 667, 342, 697, 28239, 344, 267, 5835, 8611, 267, 543, 595, 13831, 1205, 538, 1934, 269, 25175, 945, 14509, 14786, 689, 519, 476, 6942, 271, 338, 6487, 602, 1346, 616, 519, 2462, 476, 274, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 30153, 1977, 2902, 618, 15881, 2510, 257, 607, 851, 540, 834, 299, 25604, 14473, 23333, 28421, 16739, 1315, 1977, 1315, 7489, 1977, 1299, 7414, 29474, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 31946, 322, 984, 5735, 281, 634, 10555, 5678, 540, 590, 1872, 1513, 538, 6481, 4437, 17190, 692, 15916, 972, 267, 2104, 3744, 256, 5620, 596, 2479, 2219, 827, 782, 519, 1114, 6675, 602, 960, 1927, 3330, 707, 1560, 286, 1703, 616, 5946, 267, 9600, 267, 5027, 267, 543, 1256, 6263, 3889, 1572, 11950, 256, 4653, 267, 649, 2811, 2469, 547, 4685, 883, 519, 1158, 540, 891, 4241, 19346, 6675, 1765, 21406, 25026, 753, 11652, 1451, 827, 741, 1909, 538, 938, 4703, 998, 513, 2361, 1572, 25026, 984, 5735, 780, 5331, 6972, 883, 513, 14297, 19209, 1141, 1453, 5968, 1210, 10477, 17514, 3079, 540, 6340, 269, 3962, 9206, 4564, 2189, 1344, 899, 4664, 267, 3527, 267, 610, 13668, 269, 901, 19209, 2407, 540, 530, 3058, 17514, 20998, 1018, 4523, 3330, 938, 2281, 282, 1152, 1934, 267, 621, 781, 9848, 4754, 1412, 4148, 4711, 10086, 849, 1634, 607, 14836, 267, 11488, 6835, 1063, 2281, 269, 1452, 7636, 7391, 1852, 1082, 4105, 3157, 538, 938, 4703, 267, 971, 607, 8165, 1055, 10108, 543, 4543, 721, 1332, 780, 3086, 1577, 803, 6338, 596, 547, 2576, 945, 814, 6131, 741, 1272, 547, 4974, 713, 6456, 1893, 540, 14836, 269, 3220, 269, 8176, 17435, 527, 549, 742, 568, 513, 7548, 543, 513, 12021, 4274, 538, 25026, 984, 5735, 269, 1261, 22939, 1169, 1554, 12423, 811, 827, 891, 1898, 4006, 6786, 865, 646, 666, 948, 7189, 1020, 1732, 5574, 585, 1585, 3676, 267, 1519, 2860, 269, 1215, 3579, 568, 602, 31841, 3383, 1946, 798, 14836, 2339, 950, 621, 2501, 547, 2564, 1979, 17190, 286, 4270, 267, 789, 3310, 1896, 2565, 3344, 540, 1480, 1072, 676, 9013, 2792, 1851, 2281, 269, 13018, 267, 1079, 2010, 540, 2281, 4324, 7494, 689, 9848, 4754, 4205, 281, 4761, 2281, 543, 2860, 2281, 269, 2913, 781, 2263, 1312, 2127, 2417, 780, 1262, 294, 569, 322, 753, 1299, 21210, 19204, 5093, 3776, 4761, 1062, 12346, 8185, 593, 2500, 2792, 1063, 922, 2281, 269, 1879, 28164, 899, 4551, 610, 8290, 4283, 938, 4703, 267, 938, 4761, 2281, 1590, 3533, 11282, 6114, 1996, 873, 269, 2871, 612, 875, 789, 798, 602, 286, 962, 788, 267, 3842, 9848, 4754, 15202, 256, 1635, 19249, 519, 1259, 2281, 4159, 25026, 753, 267, 938, 4703, 2327, 1697, 4761, 3210 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 330, 2483, 15542, 528, 476, 273, 629, 6262, 1673, 11924, 1015, 323, 6262, 1673, 264, 594, 1131, 899, 547, 917, 875, 547, 798, 713, 269, 8729, 269, 630, 322, 1673, 264, 568, 513, 1455, 3815, 267, 865, 596, 7485, 621, 856, 281, 630, 322, 1673, 7565, 273, 629, 1341, 476, 1015, 323, 264, 7937, 267, 1287, 596, 666, 7485, 513, 476, 273, 856, 281, 630, 322, 1673, 7565, 273, 7565, 629, 1341, 476, 276, 323, 264, 8729, 256, 596, 2811, 10950, 8627, 1548, 798, 519, 5022, 1796, 585, 2995, 803, 7711, 594, 786, 2995, 596, 519, 2626, 2483, 6062, 594, 993, 1565, 827, 31527, 28721, 267, 543, 20803, 873, 568, 972, 1022, 3268, 594, 695, 9567, 1246, 950, 20803, 873, 939, 340, 848, 594, 554, 2158, 331, 1399, 1810, 1405, 1174, 256, 7064, 585, 707, 948, 26008, 272, 3689, 540, 782, 596, 1058, 917, 602, 3652, 1827, 519, 594, 16810, 3722, 1062, 269, 594, 1131, 1451, 602, 1062, 2094, 3025, 1775, 1862, 0, 20486, 1496, 19365, 24759, 2639, 10190, 594, 3357, 909, 5087, 543, 519, 4365, 729, 865, 4411, 267, 865, 2915, 19079, 4411, 267, 519, 1101, 1032, 594, 729, 909, 3345, 602, 519, 6705, 1185, 547, 2322, 538, 9252, 3002, 538, 519, 10800, 781, 17987, 547, 1832, 1200, 689, 4758, 4672, 8645, 563, 3963, 267, 621, 3893, 865, 4411, 602, 594, 6836, 547, 2911, 609, 1776, 8284, 543, 950, 649, 8118, 856, 28182, 547, 3717, 519, 1913, 8389, 2763, 909, 543, 12628, 593, 519, 2666, 269, 1684, 596, 917, 649, 1185, 547, 4584, 909, 519, 13792, 1913, 543, 555, 1177, 873, 856, 865, 602, 649, 1223, 1265, 856, 1018, 649, 941, 6031, 547, 1142, 824, 563, 3963, 267, 835, 942, 538, 15740, 621, 3893, 865, 4411, 602, 267, 2523, 1524, 538, 519, 4099, 540, 519, 2749, 267, 5261, 24282, 3893, 1524, 1055, 519, 1283, 540, 4975, 8065, 267, 2322, 1010, 3946, 538, 1010, 22836, 267, 15336, 538, 513, 3075, 32697, 543, 1767, 267, 968, 303, 515, 342, 269, 901, 568, 519, 4411, 652, 1554, 594, 4312, 2938, 538, 1082, 513, 1032, 3034, 10048, 267, 594, 2661, 593, 2290, 25569, 543, 774, 8812, 21017, 9335, 269, 1656, 602, 781, 519, 27162, 4554, 8265, 538, 1715, 3840, 269, 4208, 267, 621, 781, 865, 9157, 602, 782, 519, 666, 2456, 2206, 18369, 269, 1656, 782, 540, 519, 27162, 4554, 8593, 3298, 2661, 593, 835, 1439, 540, 519, 8265, 269, 1656, 267, 2494, 267, 594, 6415, 865, 9157, 594, 723, 547, 2661, 2185, 5195, 2250, 519, 9157, 1439, 563, 2005, 729, 513, 4807, 945, 1175, 3357, 547, 1715, 3840, 689, 10158, 13560, 3162, 856, 538, 519, 2197, 269, 2701, 18423, 538, 513, 6366, 538, 31222, 609, 930, 540, 1200, 11570, 269, 2290, 1554, 789, 2451, 1200, 4805, 538, 519, 2777, 547, 4585, 519, 1453, 269, 17652, 519, 18388, 518, 540, 519, 31945, 2914, 320, 3438, 32131, 269, 901, 2025, 14799, 8118, 519, 31945, 2914, 320, 3438, 7450, 543, 1352, 4862, 513, 5639, 269, 1924, 1352, 22551, 539, 267, 0, 4537, 611, 2717, 1512, 267, 606, 18607, 6131, 547, 7862, 543, 19493, 1143, 267, 729, 4535, 593, 4728, 476, 1240, 267, 476, 5002, 277, 538, 589, 1731, 523, 267, 3162, 10491, 269, 2717, 1512, 21783, 689, 519, 2160, 540, 3162, 10491, 538, 476, 4572, 277, 609, 1010, 645, 2529, 269, 1261, 1287, 13984, 12370, 2160, 1141, 646, 12236, 1010, 26993, 11065, 1421, 607, 1134, 607, 267, 1010, 26993, 8160, 269, 769, 476, 4350, 271, 2717, 1512, 729, 15861, 547, 519, 1715, 3840, 3046, 267, 543, 13736, 1876, 538, 1715, 3840, 4975, 2394, 1010, 2669, 538, 476, 3192, 277, 269, 1261, 849, 6039, 607, 13030, 7022, 540, 519, 1977, 6014, 6837, 543, 607, 28579, 540, 519, 2817, 717, 1478, 940, 7027, 543, 540, 519, 6837, 779, 8189, 593, 4521, 543, 4317, 11059, 269, 769, 1840, 267, 2717, 1512, 729, 8362, 3238, 538, 519, 19364, 3722, 303, 267, 7674, 585, 811, 982, 476, 1789, 1296, 593, 519, 10324, 12233, 540, 519, 3919, 779, 13751, 543, 12409, 16470, 8750, 563, 21691, 1512, 1500, 10423, 1010, 6612, 585, 3540, 2924, 2429, 1010, 1272, 269, 769, 476, 3707, 277, 646, 21991, 3176, 12052, 2160, 779, 2852, 540, 4284, 5974, 543, 31048, 976, 12123, 602, 519, 6280, 779, 23504, 1184, 5806, 3990, 1996, 6014, 543, 12102, 1053, 269, 634, 1533, 540, 1715, 3840, 779, 1360, 1101, 4023, 2069, 2853, 1876, 729, 5293, 1813, 547, 2717, 1512, 779, 3527, 269, 11088, 538, 1715, 3840, 267, 2717, 1512, 10692, 547, 9004, 7292, 17536, 1182, 538, 476, 3707, 279, 950, 646, 4547, 9290, 1996, 519, 27062, 5020, 15928, 7577, 269, 634, 2754, 11262, 606, 19887, 1646, 267, 853, 8500, 1407, 656, 16011, 267, 799, 16957, 569, 5806, 3990, 1996, 17051, 269, 4014, 519, 2539, 5480, 6462, 519, 17181, 540, 17051, 689, 519, 19887, 1646, 543, 519, 10966, 7040, 1131, 711, 5873, 519, 2013, 267, 519, 1977, 6014, 6837, 4797, 922, 5397, 585, 4023, 8027, 4031, 269, 5015, 267, 2717, 1512, 3576, 851, 538, 519, 26832, 5480, 2013, 267, 9466, 642, 269, 8274, 540, 4065, 267, 799, 17515, 519, 3656, 4493, 585, 17478, 538, 17857, 543, 476, 736, 824, 2829, 602, 24451, 5302, 27935, 13460, 269, 1261, 267, 2059, 609, 824, 2818, 540, 519, 1977, 6014, 6837, 267, 19429, 5618, 338, 540, 993, 545, 328, 1225, 23706, 267, 5885, 1053, 685, 2924, 547, 3489, 3160, 2069, 269, 2717, 1512, 5747, 538, 476, 3192, 277, 267, 15068, 676, 1010, 7385, 267, 3807, 710, 29216, 2717, 1512, 269, 3571, 4574, 616, 24428, 693, 519, 1977, 6014, 8466, 5980, 538, 654, 953, 600, 267, 12590, 563, 1103, 1010, 2232, 547, 519, 19364, 3722, 303, 267, 2717, 1512, 5956, 609, 513, 11495, 6252, 1063, 7642, 543, 17051, 281, 741, 7104, 968, 19789, 802, 547, 5191, 1848, 3245, 3504, 5527, 547, 2413, 6377, 27293, 267, 2717, 1512, 585, 2471, 513, 3532, 2631, 540, 8446, 1063, 519, 1079, 2516, 538, 1010, 1360, 1101, 5037, 269, 2717, 1512, 849, 11363, 519, 1977, 6014, 6837, 779, 3661, 602, 3020, 15698, 543, 9111, 666, 2291, 1152, 950, 782, 4961, 3180, 3160, 2924, 269, 2755, 3257, 865, 267, 646, 849, 14753, 856, 1996, 1533, 9777, 2137, 602, 13986, 547, 14020, 519, 19364, 3722, 303, 779, 3646, 547, 3895, 5610, 267, 4481, 519, 2924, 547, 4082, 267, 10198, 267, 543, 7681, 269, 2717, 1512, 1028, 999, 1010, 5304, 540, 519, 589, 297, 290, 779, 2178, 1489, 543, 1620, 540, 741, 6560, 585, 3540, 15698, 269, 1261, 1028, 999, 519, 19364, 3722, 303, 602, 6014, 4892, 723, 4810, 519, 2164, 540, 4507, 540, 16563, 593, 11786, 2152, 267, 543, 5176, 782, 616, 8149, 547, 513, 14942, 3609, 3823, 519, 4339, 585, 3540, 2924, 585, 17051, 543, 782, 4892, 269, 0, 9617, 2063, 3018, 513, 1007, 968, 28588, 5608, 25429, 2578, 4768, 328, 476, 1001, 274, 267, 729, 4362, 676, 8241, 23153, 31485, 3627, 1530, 778, 269, 25429, 2578, 4768, 328, 476, 1001, 274, 267, 568, 865, 6505, 267, 602, 621, 666, 1631, 581, 2938, 609, 519, 19448, 3660, 3750, 563, 2691, 649, 1413, 693, 519, 3781, 6607, 267, 1034, 540, 519, 6801, 649, 1294, 616, 10877, 269, 1452, 6801, 616, 11999, 21384, 540, 7250, 543, 26775, 3154, 267, 4371, 1927, 676, 519, 3196, 540, 8904, 269, 2311, 741, 23780, 267, 7250, 568, 535, 4310, 883, 26775, 3842, 6046, 12760, 267, 543, 519, 1648, 5950, 689, 6046, 12760, 666, 1379, 6801, 585, 17542, 540, 1296, 563, 4913, 267, 25429, 2578, 4768, 328, 476, 1001, 274, 568, 513, 1360, 1114, 28458, 547, 519, 6093, 5182, 610, 938, 6129, 269, 1656, 621, 4465, 1406, 581, 16304, 1472, 585, 1279, 269, 0, 300, 21036, 918, 3518, 327, 9253, 320, 269, 590, 836, 600, 269, 715, 15676, 19759, 327, 639, 269, 654, 11208, 269, 717, 5190, 269, 9576, 24872, 269, 4210, 867, 563, 19328, 269, 31579, 541, 21423, 1533, 269, 16589, 21171, 269, 10067, 320, 918, 3518, 327, 9253, 320, 269, 9576, 8602, 593, 5178, 656, 7754, 577, 9564, 10965, 534, 630, 325, 604, 628, 1554, 540, 519, 1007, 7599, 1040, 634, 9161, 834, 305, 5819, 24872, 257, 568, 31764, 547, 6474, 606, 513, 22273, 5534, 19236, 12972, 267, 950, 21071, 2161, 5289, 1648, 8928, 547, 3618, 269, 715, 15676, 630, 333, 8898, 264, 19759, 327, 639, 8661, 741, 7772, 676, 2921, 513, 16702, 693, 590, 836, 600, 543, 10847, 532, 519, 5757, 717, 5190, 269, 589, 1906, 715, 15676, 19759, 327, 639, 723, 741, 4703, 1159, 18193, 609, 607, 1127, 269, 1358, 941, 2899, 21847, 267, 602, 781, 1946, 789, 1869, 4163, 9604, 267, 971, 607, 2558, 880, 3121, 609, 667, 636, 549, 334, 543, 4210, 867, 269, 589, 959, 880, 3121, 568, 513, 1826, 540, 4095, 959, 1211, 267, 4122, 1031, 607, 513, 9699, 3909, 3090, 269, 634, 2262, 1797, 834, 22764, 27490, 257, 538, 16130, 269, 769, 3127, 267, 519, 2165, 1419, 4016, 547, 513, 2110, 11804, 1194, 14049, 799, 949, 581, 15841, 593, 513, 546, 7701, 610, 5234, 269, 634, 959, 880, 3121, 568, 29937, 539, 676, 519, 9699, 2696, 32251, 269, 667, 636, 549, 334, 568, 4440, 519, 9510, 543, 2757, 1106, 540, 25576, 15664, 6293, 538, 3127, 269, 898, 568, 1034, 4122, 1634, 585, 922, 7681, 609, 7083, 32251, 269, 634, 18156, 568, 519, 14049, 540, 918, 8932, 945, 568, 519, 9699, 15831, 2404, 609, 16882, 269, 634, 918, 3518, 327, 9253, 320, 267, 5156, 547, 581, 519, 4102, 3909, 11018, 568, 4371, 1169, 476, 1321, 1296, 593, 519, 8492, 540, 519, 1412, 306, 836, 600, 262, 268, 519, 1476, 26475, 540, 519, 13411, 8933, 717, 18553, 267, 26232, 10044, 543, 519, 26704, 7203, 553, 342, 10620, 269, 769, 476, 1001, 274, 267, 621, 568, 6059, 602, 5176, 476, 3199, 2929, 25058, 525, 3576, 513, 8602, 538, 519, 1216, 540, 519, 13411, 5757, 717, 5190, 269, 634, 3661, 568, 602, 28876, 543, 2921, 513, 13411, 16702, 786, 11547, 543, 1863, 835, 689, 782, 519, 2250, 21359, 267, 1205, 20778, 543, 533, 2314, 519, 1259, 585, 631, 758, 3333, 320, 630, 26074, 19802, 689, 519, 4783, 540, 5020, 267, 12280, 543, 1234, 19689, 1040, 24872, 532, 538, 519, 13411, 7297, 540, 717, 18553, 568, 5156, 547, 581, 1034, 513, 22273, 5534, 693, 519, 942, 540, 918, 3518, 327, 9253, 320, 267, 1317, 519, 1216, 568, 9901, 609, 2318, 7067, 2360, 543, 8476, 609, 13590, 2234, 9911, 540, 519, 6129, 267, 9855, 543, 4236, 653, 3438, 269, 769, 18420, 267, 19759, 16852, 630, 16591, 282, 1434, 812, 267, 13411, 812, 264, 18575, 606, 10841, 2045, 267, 29595, 31494, 269, 19759, 327, 639, 616, 521, 1415, 14515, 267, 610, 15646, 9629, 919, 267, 945, 723, 2451, 3297, 782, 1570, 27589, 269, 1358, 616, 15646, 1735, 6203, 945, 723, 6074, 547, 2661, 513, 1272, 6306, 689, 610, 593, 519, 8728, 540, 1124, 773, 454, 21026, 5607, 303, 2001, 698, 22563, 19600, 2869, 3770, 640, 322, 11857, 516, 5554, 542, 17304, 603, 342, 832, 4721, 659, 1042, 761, 783, 335, 559, 15317, 338, 294, 5190, 327, 1952, 2096, 523, 18684, 271, 1296, 327, 1343, 7666, 344, 3835, 532, 331, 604, 523, 1155, 719, 2515, 1410, 10262, 719, 21830, 701, 864, 995, 15161, 11825, 2632, 6320, 332, 1446, 611, 738, 576, 30503, 1674, 576, 516, 3000, 658, 576, 516, 3000, 344, 325, 652, 2526, 327, 8114, 327, 8114, 1143, 16058, 785, 1014, 785, 3394, 537, 14259, 1288, 335, 559, 15317, 720, 5460, 639, 328, 770, 31742, 1120, 16104, 1415, 553, 4593, 2396, 321, 3497, 333, 644, 640, 322, 992, 323, 326, 1430, 532, 28236, 21346, 332, 13293, 20123, 2595, 1122, 15843, 615, 332, 1080, 11989, 327, 643, 23042, 731, 17840, 3832, 518, 995, 2183, 7257, 325, 2426, 337, 1231, 327, 1952, 1465, 2809, 2809, 21459, 2795, 680, 904, 332, 3796, 680, 553, 28411, 16852, 828, 656, 684, 6135, 11712, 680, 550, 3814, 629, 1495, 766, 325, 5419, 743, 1054, 1042, 338, 7219, 4248, 2444, 2045, 534, 10532, 32024, 326, 1633, 8234, 16443, 2193, 6716, 5155, 7371, 889, 923, 322, 8527, 636, 11687, 529, 1755, 2102, 1388, 560, 6729, 10964, 569, 338, 15967, 2084, 1245, 1619, 2779, 328, 267, 689, 0, 3080, 20868, 1884, 5267, 4503, 1158, 540, 3504, 17605, 2713, 11895, 454, 272, 288, 1007, 1884, 4362, 538, 519, 8835, 5654, 865, 9642, 602, 3744, 616, 7446, 5824, 4408, 602, 1404, 2685, 2303, 519, 13442, 2501, 689, 9370, 563, 21953, 519, 2249, 6742, 658, 529, 646, 675, 6390, 1223, 948, 27682, 519, 1686, 540, 17605, 593, 3047, 563, 9616 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5334, 3263, 815, 476, 1911, 271, 692, 11907, 815, 5286, 20179, 269, 7538, 263, 11743, 267, 31901, 318, 22563, 267, 1003, 5334, 3263, 994, 7884, 1103, 519, 3009, 1657, 267, 2387, 11743, 319, 568, 519, 4099, 540, 519, 3892, 267, 2387, 560, 323, 318, 22563, 319, 568, 519, 3262, 267, 543, 2387, 11133, 5334, 3263, 319, 568, 519, 1297, 540, 1239, 2798, 649, 1616, 547, 5352, 780, 3086, 267, 1577, 781, 9192, 891, 1079, 2035, 543, 4019, 873, 547, 513, 811, 1950, 1966, 281, 7508, 1239, 791, 16615, 780, 2162, 31932, 4578, 1955, 1584, 566, 692, 29309, 532, 1239, 568, 513, 1455, 1966, 538, 1483, 8996, 14449, 269, 898, 666, 2049, 1813, 547, 1585, 4128, 267, 971, 607, 1480, 5470, 267, 3937, 5821, 267, 610, 7834, 4145, 269, 2290, 1259, 547, 6023, 7508, 1239, 568, 676, 1210, 513, 4480, 1572, 791, 16615, 267, 799, 3322, 11423, 538, 519, 7508, 2418, 609, 6059, 3283, 780, 1103, 713, 3296, 267, 649, 786, 946, 27240, 1304, 2677, 1417, 543, 11525, 8494, 2065, 4578, 19087, 547, 791, 1393, 7508, 1239, 538, 513, 10471, 269, 634, 2856, 568, 547, 1451, 519, 6724, 540, 513, 21714, 3892, 689, 519, 2139, 1239, 543, 1287, 946, 1346, 6724, 547, 5352, 1007, 1239, 2798, 602, 6445, 538, 519, 7508, 2418, 780, 2080, 781, 519, 5124, 3009, 602, 28352, 713, 2856, 1384, 3499, 7090, 454, 5814, 11885, 607, 5286, 692, 258, 2637, 4733, 513, 4351, 10471, 609, 7508, 2418, 454, 335, 815, 476, 273, 476, 1948, 1297, 540, 2934, 454, 333, 815, 476, 1911, 476, 1948, 1297, 540, 5439, 454, 332, 1170, 532, 7272, 815, 476, 271, 269, 273, 476, 1948, 8167, 540, 7508, 2418, 454, 330, 815, 476, 272, 476, 1948, 1297, 540, 24353, 7516, 692, 311, 815, 5286, 20179, 269, 7538, 4433, 1125, 14352, 335, 267, 562, 4917, 332, 1170, 532, 8548, 2532, 815, 5286, 20179, 26716, 4069, 8443, 271, 267, 476, 272, 3910, 2450, 14352, 335, 267, 562, 1070, 533, 17342, 272, 910, 7508, 7272, 267, 7508, 7272, 316, 1040, 770, 4286, 6357, 944, 994, 311, 314, 332, 1170, 532, 8548, 2532, 316, 815, 5286, 8542, 534, 692, 258, 19461, 1125, 6724, 454, 310, 815, 5286, 20179, 269, 7538, 4433, 1125, 14352, 335, 267, 737, 4917, 18406, 273, 815, 476, 273, 269, 271, 692, 258, 16294, 519, 27240, 1304, 2677, 1417, 1599, 454, 3698, 1178, 1091, 11583, 267, 654, 267, 29178, 273, 2187, 825, 1948, 30770, 519, 27080, 540, 519, 1942, 1599, 609, 2463, 547, 654, 543, 29178, 273, 454, 825, 1780, 692, 258, 16294, 519, 8298, 6441, 1731, 9685, 1599, 454, 3698, 2845, 9078, 1731, 9685, 11583, 267, 654, 267, 29178, 273, 2187, 825, 1948, 30770, 519, 2845, 2000, 1731, 9685, 540, 519, 1239, 2016, 519, 6724, 454, 825, 1780, 692, 258, 3399, 27240, 1304, 2677, 1417, 454, 333, 318, 3438, 815, 476, 6110, 454, 331, 337, 318, 310, 815, 476, 271, 269, 4905, 454, 331, 337, 5334, 7950, 273, 815, 476, 272, 324, 268, 274, 454, 961, 4671, 15869, 815, 11713, 1721, 12055, 19571, 538, 2039, 3799, 318, 3438, 2187, 825, 654, 14682, 2784, 267, 29178, 273, 14682, 2784, 815, 1178, 1091, 11583, 267, 654, 267, 29178, 273, 994, 825, 654, 6834, 561, 337, 318, 310, 2608, 654, 14682, 2784, 454, 825, 29178, 273, 6834, 561, 337, 5334, 7950, 273, 2608, 29178, 273, 14682, 2784, 454, 825, 952, 12055, 19571, 4939, 476, 736, 2652, 476, 271, 912, 1038, 26270, 815, 2845, 9078, 1731, 9685, 11583, 267, 654, 267, 29178, 273, 994, 1038, 1820, 2891, 296, 614, 281, 2715, 9574, 2845, 2000, 1731, 9685, 281, 15079, 2668, 8971, 263, 3438, 19571, 267, 26270, 4917, 1038, 26270, 4671, 15869, 6910, 263, 961, 2020, 258, 2637, 4733, 1007, 1239, 689, 2203, 454, 345, 338, 815, 5286, 20179, 269, 7538, 263, 271, 267, 476, 272, 267, 2450, 14352, 330, 267, 562, 4917, 311, 318, 10090, 730, 815, 654, 7711, 1990, 338, 1341, 5286, 20179, 269, 7538, 263, 271, 267, 5286, 28460, 4433, 7950, 273, 1070, 2450, 14352, 335, 267, 562, 4917, 7884, 1103, 519, 3009, 1657, 267, 649, 1101, 5352, 513, 4351, 10471, 609, 7508, 2418, 269, 3973, 267, 649, 3355, 1125, 519, 6724, 540, 519, 21714, 3892, 630, 319, 310, 319, 543, 2387, 18406, 273, 319, 264, 543, 5581, 519, 27240, 1304, 2677, 1417, 543, 8298, 6441, 1731, 9685, 3252, 780, 9202, 267, 649, 2196, 27240, 1304, 2677, 1417, 585, 513, 6378, 1297, 540, 23200, 267, 21130, 519, 6724, 693, 1142, 1900, 269, 2991, 1169, 476, 736, 23200, 267, 649, 12337, 543, 1820, 519, 2845, 2000, 1731, 9685, 540, 519, 1239, 2016, 519, 1699, 6724, 780, 7661, 267, 649, 946, 519, 4121, 6724, 547, 5352, 1007, 1239, 2798, 602, 6445, 538, 519, 7508, 2418, 780, 2162, 10390, 692, 1103, 713, 1770, 267, 649, 8268, 1079, 1271, 2035, 538, 3684, 1565, 281, 27240, 1304, 2677, 1417, 543, 11525, 8494, 2065, 4578, 19087, 269, 1284, 4121, 875, 547, 946, 27240, 1304, 2677, 1417, 547, 1265, 519, 1655, 2009, 3070, 585, 513, 1966, 543, 875, 547, 5352, 1007, 1239, 5439, 1210, 513, 21714, 3892, 269, 1284, 1287, 4294, 891, 2035, 547, 513, 1483, 8996, 1966, 281, 7508, 1239, 791, 16615, 780, 2171, 4126, 713, 1770, 814, 2620, 2989, 707, 1620, 540, 891, 2035, 543, 6273, 596, 547, 2263, 873, 2417, 269, 5457, 267, 2259, 568, 1883, 547, 13215, 1022, 1007, 5578, 267, 865, 1810, 1405, 581, 12922, 547, 4603, 609, 1114, 14449, 543, 2042, 269, 6153, 9939, 256, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 7508, 7272, 3910, 2450, 14352, 335, 267, 562, 994, 825, 15426, 770, 4286, 6357, 944, 994, 825, 2473, 314, 332, 1170, 532, 8548, 2532, 316, 815, 5286, 8542, 534, 692, 825, 1948, 19461, 1125, 6724, 454, 825, 654, 815, 5286, 20179, 269, 7538, 4433, 1125, 14352, 335, 267, 737, 4917, 825, 29178, 273, 815, 476, 273, 269, 271, 692, 825, 1948, 3399, 717, 291, 454, 825, 562, 318, 3438, 815, 476, 6110, 454, 825, 561, 337, 318, 310, 815, 476, 271, 269, 4905, 454, 825, 561, 337, 5334, 7950, 273, 815, 476, 272, 324, 268, 274, 454, 825, 26270, 4671, 15869, 815, 11713, 825, 585, 12055, 19571, 538, 2039, 3799, 318, 3438, 2187, 1038, 654, 14682, 2784, 267, 29178, 273, 14682, 2784, 815, 1178, 1091, 11583, 267, 654, 267, 29178, 273, 994, 1038, 654, 6834, 561, 337, 318, 310, 2608, 654, 14682, 2784, 454, 1038, 29178, 273, 6834, 561, 337, 5334, 7950, 273, 2608, 29178, 273, 14682, 2784, 454, 1038, 1948, 1820, 4433, 7950, 273, 994, 1038, 952, 12055, 19571, 4939, 476, 736, 2652, 476, 271, 912, 2018, 26270, 815, 2845, 9078, 1731, 9685, 11583, 267, 654, 267, 29178, 273, 994, 2018, 1820, 2891, 296, 614, 281, 2715, 9574, 2845, 2000, 1731, 9685, 281, 15079, 2668, 8971, 263, 3438, 19571, 267, 26270, 4917, 2018, 26270, 4671, 15869, 6910, 263, 961, 2020, 825, 1948, 12301, 19502, 263, 961, 4671, 15869, 994, 825, 1948, 12301, 20481, 10797, 825, 12361, 2637, 4733, 1007, 1239, 689, 2203, 454, 825, 1990, 338, 815, 5286, 20179, 269, 7538, 263, 271, 267, 476, 272, 267, 2450, 14352, 330, 267, 562, 4917, 825, 2473, 318, 10090, 730, 815, 654, 7711, 1990, 338, 1341, 5286, 20179, 269, 7538, 263, 271, 267, 5286, 28460, 4433, 7950, 273, 1070, 2450, 14352, 335, 267, 562, 11723, 825, 12301, 16553, 7120, 263, 272, 267, 562, 318, 30831, 267, 13797, 1341, 476, 273, 994, 825, 12301, 31892, 2660, 11583, 318, 10090, 730, 314, 271, 267, 2433, 3910, 2473, 318, 10090, 730, 314, 272, 267, 2433, 7481, 825, 12301, 26644, 2891, 17653, 730, 1239, 14826, 24001, 7508, 2668, 8971, 9852, 1170, 532, 7272, 4917, 10823, 20481, 30800, 5814, 28258, 27219, 692, 760, 27219, 15630, 4671, 15869, 4590, 8199, 2237, 606, 3573, 543, 2143, 1837, 1770, 609, 19900, 1257, 543, 3009, 12612, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 1100, 1991, 1702, 540, 519, 1641, 269, 634, 1837, 1058, 3895, 7744, 543, 20201, 1983, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269, 0, 7170, 281, 4197, 16844, 543, 29621, 281, 589, 2160, 781, 8758, 618, 692, 5629, 2390, 513, 942, 267, 972, 729, 513, 2027, 1747, 1572, 519, 2160, 540, 18096, 269, 901, 3884, 1405, 1175, 1022, 8723, 6280, 282, 621, 781, 513, 1747, 1141, 1004, 689, 782, 15211, 540, 1272, 2097, 1927, 547, 1451, 543, 1332, 269, 1809, 899, 1022, 824, 9872, 267, 519, 2160, 540, 18096, 7691, 602, 789, 1185, 930, 960, 547, 798, 950, 621, 3357, 547, 1818, 2386, 3025, 5433, 10950, 543, 3769, 593, 741, 13464, 269, 2334, 781, 1946, 789, 2813, 1945, 5863, 910, 519, 4741, 585, 23532, 9906, 16457, 630, 528, 834, 290, 2464, 288, 257, 6393, 3086, 596, 1522, 4898, 267, 1018, 1281, 713, 723, 547, 798, 609, 803, 286, 4270, 267, 4952, 952, 596, 4682, 547, 513, 1153, 1141, 1034, 3214, 6743, 1114, 982, 596, 267, 12038, 1776, 1893, 693, 1753, 267, 610, 9976, 14812, 596, 4769, 1405, 917, 827, 269, 1411, 1522, 1745, 856, 540, 1747, 610, 2451, 856, 3006, 267, 1318, 286, 2311, 9945, 267, 1053, 3068, 2147, 2591, 855, 1419, 593, 513, 1454, 3677, 4336, 269, 1677, 948, 891, 1053, 8011, 543, 8853, 267, 7740, 899, 595, 2464, 288, 941, 2813, 2439, 12988, 538, 519, 3735, 476, 3422, 271, 338, 267, 595, 2464, 288, 3323, 7674, 1053, 540, 2681, 945, 5185, 7496, 1813, 547, 31716, 267, 3668, 540, 6041, 267, 543, 13385, 1489, 1949, 269, 6056, 540, 873, 607, 27568, 8165, 1996, 17181, 543, 4180, 14619, 585, 782, 269, 3683, 942, 267, 811, 543, 811, 1053, 689, 3309, 10080, 3459, 11504, 2852, 267, 799, 1500, 519, 6280, 8275, 602, 789, 2877, 547, 1900, 909, 741, 3014, 780, 9213, 267, 595, 2464, 288, 6499, 547, 1831, 513, 6280, 17253, 4099, 23695, 547, 1256, 811, 2516, 971, 607, 1346, 7114, 607, 3979, 1977, 267, 7489, 1977, 267, 7414, 29474, 267, 5824, 343, 267, 1977, 4095, 267, 6404, 268, 15869, 267, 543, 11806, 266, 269, 1635, 3257, 865, 267, 789, 2832, 547, 1711, 513, 2922, 2230, 585, 1169, 2875, 267, 1100, 2339, 945, 789, 616, 610, 1141, 789, 2097, 689, 780, 3719, 7227, 1107, 1577, 781, 2736, 1524, 930, 2462, 1913, 1934, 1384, 265, 24054, 281, 10435, 2386, 3025, 814, 1569, 547, 519, 1482, 3255, 543, 2200, 267, 7488, 540, 741, 5198, 267, 4008, 267, 610, 4282, 563, 265, 16844, 281, 11109, 513, 3099, 540, 1004, 609, 2189, 2833, 267, 5380, 267, 543, 4529, 1369, 513, 1895, 610, 2146, 563, 265, 29621, 281, 12861, 606, 1604, 1141, 3025, 7959, 20888, 267, 12595, 267, 543, 851, 540, 519, 1895, 780, 3383, 1946, 568, 713, 1271, 585, 513, 6280, 286, 11822, 256, 1879, 1053, 1294, 2933, 10630, 538, 741, 1565, 5054, 267, 789, 1685, 1732, 27268, 543, 13948, 269, 5994, 2348, 2828, 945, 2671, 707, 5389, 267, 1426, 267, 543, 2984, 1107, 9327, 1405, 602, 1118, 2469, 547, 1153, 811, 1187, 2496, 2414, 3035, 713, 3804, 267, 1082, 5100, 11570, 693, 519, 2160, 540, 18096, 616, 2324, 2182, 3297, 519, 10207, 269, 1358, 4866, 547, 1114, 6887, 899, 2875, 12602, 267, 27350, 2359, 267, 15938, 2090, 267, 543, 1585, 12621, 269, 8625, 267, 789, 1106, 835, 2462, 27805, 6131, 547, 5885, 1142, 2875, 543, 4543, 873, 21707, 1282, 741, 942, 693, 519, 6280, 780, 4517, 7058, 1018, 286, 2290, 1554, 267, 9358, 1223, 581, 851, 540, 713, 6909, 3460, 1932, 256, 6787, 596, 7390, 519, 2160, 540, 18096, 610, 1022, 824, 2362, 2069, 9872, 267, 1620, 519, 2956, 540, 4763, 543, 10014, 786, 2141, 4324, 596, 543, 1866, 1472, 596, 269, 1924, 1832, 1565, 267, 14120, 3604, 267, 543, 8508, 1007, 17052, 1317, 267, 1310, 782, 267, 938, 1158, 3587, 513, 17321, 1747 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 23219, 256, 5412, 476, 278, 628, 267, 476, 3707, 272, 267, 513, 4266, 602, 786, 2661, 538, 1102, 18081, 7498, 289, 4361, 7033, 5202, 270, 12472, 540, 661, 11445, 11135, 7615, 270, 5522, 664, 912, 6977, 272, 281, 661, 11445, 12197, 11262, 676, 519, 22963, 9576, 7731, 454, 5908, 275, 281, 12794, 685, 1446, 548, 685, 320, 779, 2034, 7385, 267, 1323, 12818, 807, 2549, 4141, 267, 23339, 12794, 685, 1446, 548, 685, 320, 779, 2244, 547, 3627, 670, 269, 595, 2292, 563, 290, 2292, 6896, 3959, 543, 4408, 568, 12968, 537, 2993, 25625, 681, 21123, 543, 3096, 2244, 585, 13520, 15209, 267, 14680, 29170, 11538, 543, 23315, 2504, 563, 6942, 278, 281, 3627, 23720, 267, 513, 31410, 328, 1870, 2006, 16306, 476, 6078, 267, 1822, 14143, 689, 3627, 595, 2292, 585, 1269, 4817, 267, 1822, 563, 6942, 280, 281, 6276, 12891, 2917, 21437, 661, 11445, 779, 1148, 14198, 1134, 563, 6642, 280, 281, 634, 6554, 540, 16127, 585, 519, 744, 24660, 24020, 543, 8092, 630, 3036, 261, 299, 264, 7577, 1178, 2738, 5484, 667, 3739, 5069, 513, 22497, 563, 302, 24660, 681, 9430, 543, 8092, 5713, 607, 3119, 6283, 585, 6683, 543, 5010, 6283, 563, 7628, 24918, 267, 519, 10758, 261, 299, 16456, 2924, 941, 682, 1078, 547, 519, 2475, 2229, 547, 1489, 519, 10136, 543, 2238, 693, 1585, 4108, 13279, 563, 4572, 276, 281, 13108, 4191, 513, 1016, 3161, 609, 10758, 261, 299, 585, 513, 1007, 4779, 1681, 15958, 563, 763, 25755, 2636, 519, 13108, 547, 4020, 519, 4779, 1681, 15958, 2059, 609, 10151, 5656, 563, 4350, 280, 281, 661, 11445, 779, 1148, 14198, 1134, 1309, 5529, 563, 3707, 272, 281, 634, 2361, 513, 661, 11445, 3568, 1507, 8075, 267, 1896, 856, 28265, 902, 267, 513, 4779, 1681, 15958, 267, 543, 513, 2196, 3118, 563, 299, 622, 476, 4350, 271, 338, 267, 7216, 476, 3707, 271, 338, 281, 14716, 540, 13149, 17620, 12476, 661, 11445, 630, 292, 11445, 12197, 264, 538, 17602, 775, 609, 519, 4108, 543, 2804, 7269, 883, 519, 7414, 3148, 547, 4831, 519, 2208, 540, 519, 5545, 7276, 563, 5881, 667, 4488, 476, 3707, 272, 281, 3245, 476, 5881, 275, 271, 268, 1911, 271, 3108, 267, 661, 11445, 12197, 2833, 1614, 6329, 540, 6285, 689, 5545, 8731, 6244, 334, 14742, 563, 4198, 273, 281, 661, 11445, 7720, 1681, 631, 770, 2361, 771, 652, 21521, 563, 1001, 277, 281, 661, 11445, 30577, 11135, 7615, 7396, 538, 519, 2817, 19193, 540, 19866, 23089, 454, 6507, 628, 7788, 15208, 540, 5412, 476, 278, 267, 476, 3707, 272, 1107, 661, 11445, 11135, 7615, 1869, 814, 1082, 3768, 29545, 8978, 4609, 454, 1700, 476, 273, 299, 307, 12253, 548, 715, 639, 345, 330, 22603, 454, 8649, 309, 1115, 16127, 267, 21816, 17621, 0, 294, 269, 595, 269, 589, 564, 3559, 2006, 568, 606, 14787, 689, 22616, 629, 6319, 538, 8050, 269, 4595, 476, 1001, 273, 646, 814, 3370, 519, 12139, 7284, 5451, 660, 5866, 267, 799, 6212, 593, 519, 27705, 6520, 269, 769, 476, 1001, 278, 267, 646, 12703, 569, 9411, 519, 25071, 540, 693, 331, 656, 1108, 609, 1010, 1433, 7284, 5451, 660, 5866, 281, 1714, 556, 3626, 1642, 10153, 341, 18480, 630, 4263, 331, 656, 529, 281, 634, 8003, 540, 744, 4565, 643, 542, 264, 1547, 1261, 4025, 519, 7284, 656, 6756, 3854, 538, 519, 23047, 1127, 693, 519, 5023, 540, 519, 2871, 611, 531, 638, 643, 597, 5211, 538, 25763, 1656, 31647, 807, 563, 10048, 3241, 595, 826, 11663, 568, 513, 5053, 11001, 689, 5842, 331, 1075, 541, 632, 4446, 1090, 20364, 630, 290, 611, 714, 1070, 945, 10645, 538, 476, 1001, 276, 5416, 264, 547, 723, 4857, 519, 4087, 540, 1018, 568, 7654, 513, 4503, 3540, 5314, 538, 519, 1858, 540, 623, 14373, 632, 5487, 13641, 4660, 320, 267, 8720, 606, 1858, 540, 827, 476, 279, 4009, 12919, 630, 276, 4009, 5195, 4700, 22290, 519, 2871, 611, 531, 638, 643, 597, 5211, 538, 8050, 269, 901, 4087, 568, 711, 2484, 689, 519, 1732, 1634, 7284, 656, 529, 11134, 540, 519, 1684, 10722, 3570, 9370, 1127, 563, 5194, 3135, 6357, 264, 10530, 595, 826, 11663, 607, 6031, 2048, 296, 3494, 476, 4200, 2600, 602, 594, 723, 6368, 1336, 519, 4503, 2749, 540, 7284, 656, 529, 17483, 297, 657, 2946, 623, 749, 545, 518, 632, 744, 1087, 879, 6428, 553, 586, 570, 990, 541, 630, 8182, 273, 268, 15757, 280, 1070, 513, 5053, 5856, 267, 729, 4440, 519, 1101, 538, 476, 15757, 274, 547, 2697, 606, 1656, 31647, 1014, 4087, 585, 7284, 656, 529, 267, 3981, 532, 602, 570, 691, 612, 657, 729, 9838, 609, 7284, 656, 529, 543, 602, 621, 729, 4092, 593, 519, 2871, 611, 531, 638, 643, 597, 5211, 538, 7013, 8050, 2282, 1530, 6807, 269, 1261, 9138, 519, 1684, 10722, 3570, 9370, 1127, 267, 1141, 267, 14626, 1211, 958, 267, 918, 6686, 327, 928, 543, 654, 1157, 321, 1245, 339, 1185, 4857, 2666, 2934, 1210, 9682, 2592, 267, 799, 789, 10645, 5330, 539, 609, 18573, 779, 6609, 540, 7284, 656, 529, 563, 4913, 267, 7766, 26995, 972, 4951, 654, 1157, 321, 1245, 339, 779, 2592, 547, 581, 4130, 982, 4397, 610, 941, 689, 519, 7332, 1974, 269, 15845, 585, 570, 691, 612, 657, 610, 7284, 656, 529, 814, 711, 1044, 1336, 269, 0, 288, 3395, 1719, 538, 519, 5010, 1646, 540, 2230, 543, 513, 6444, 991, 585, 1875, 21666, 1648, 2959, 616, 27513, 2590, 513, 556, 1410, 8727, 540, 519, 16548, 585, 10451, 1804, 5666, 540, 5201, 689, 2230, 2861, 3859, 1379, 1949, 269, 25895, 8441, 936, 519, 2250, 476, 736, 1296, 616, 16213, 513, 811, 15028, 1769, 593, 519, 2930, 543, 2804, 23250, 540, 1804, 8397, 2230, 3859, 1379, 267, 543, 4797, 3356, 568, 17191, 269, 1809, 5329, 519, 4674, 3001, 4464, 585, 519, 1985, 1896, 5756, 786, 2154, 3486, 1857, 17376, 10675, 9316, 543, 5092, 676, 1312, 519, 2229, 543, 5010, 9922, 269, 12207, 543, 8030, 723, 4857, 513, 3099, 540, 1761, 3156, 585, 3859, 1379, 538, 2230, 602, 1223, 1831, 954, 574, 6990, 585, 3384, 543, 11766, 532, 519, 2029, 593, 519, 1259, 4724, 606, 10700, 20185, 540, 581, 5446, 3859, 5201, 547, 3047, 563, 4415, 2370, 10178, 11071, 267, 606, 2856, 1101, 6069, 811, 982, 476, 1789, 1296, 3516, 585, 23478, 3047, 609, 10731, 267, 4642, 28003, 5201, 689, 3859, 1648, 568, 1373, 20460, 1243, 734, 21671, 713, 942, 519, 9228, 991, 585, 971, 513, 2707, 568, 3152, 267, 543, 519, 1279, 3856, 19773, 585, 922, 2804, 23250, 568, 811, 15028, 269, 1635, 519, 1647, 540, 713, 2540, 267, 930, 21575, 543, 1382, 8030, 25077, 267, 513, 1804, 2671, 540, 519, 1158, 781, 3747, 585, 5201, 1223, 581, 1558, 676, 513, 26424, 540, 1360, 1804, 2230, 2861, 3859, 25675, 630, 11901, 264, 14249, 269, 3690, 2466, 1562, 4448, 547, 891, 14249, 1131, 1142, 11237, 607, 1454, 607, 1896, 5479, 26334, 540, 1379, 547, 3047, 693, 17196, 5925, 12451, 585, 4015, 676, 2647, 268, 19327, 6439, 4328, 2666, 32110, 543, 7503, 547, 5201, 563, 763, 6323, 543, 519, 4909, 2029, 585, 971, 513, 10325, 616, 1134, 1634, 543, 7361, 538, 1688, 267, 15156, 2161, 4352, 605, 323, 16406, 4702, 1646, 1131, 581, 2556, 547, 2965, 1628, 513, 2230, 1379, 1062, 269, 634, 6574, 11064, 547, 16734, 519, 1761, 540, 1379, 15408, 538, 1164, 3047, 10739, 568, 519, 1482, 607, 621, 729, 1614, 5756, 3516, 734, 1492, 1164, 1942, 540, 22745, 7366, 540, 5215, 540, 9748, 540, 3859, 14249, 543, 824, 3937, 883, 2230, 543, 7011, 1782, 873, 269, 1280, 1896, 4128, 267, 2705, 267, 519, 4161, 1631, 5526, 10169, 1447, 18447, 982, 621, 1705, 476, 1789, 1296, 3516, 269, 630, 5194, 267, 24903, 1447, 1713, 267, 11064, 6967, 689, 519, 2250, 568, 1857, 6161, 827, 2825, 267, 1072, 267, 543, 3106, 4220, 540, 1804, 8397, 2230, 3562, 7232, 14390, 17196, 1648, 6771, 269, 1401, 7964, 2161, 971, 4220, 616, 9765, 5944, 1507, 282, 1294, 2427, 8663, 267, 533, 269, 476, 1015, 8094, 763, 1034, 2596, 2856, 585, 2230, 1379, 21018, 782, 519, 1259, 1394, 547, 835, 540, 519, 27428, 540, 519, 3167, 2085, 543, 519, 1167, 913, 17243, 540, 12616, 5925, 267, 21208, 7637, 23592, 269, 834, 9961, 2230, 972, 568, 1648, 257, 646, 5143, 519, 1977, 4659, 540, 15379, 19296, 538, 476, 6642, 272, 269, 834, 2252, 1496, 527, 568, 316, 11979, 267, 938, 13922, 616, 538, 642, 664, 282, 952, 15452, 734, 663, 713, 649, 917, 621, 568, 585, 1978, 734, 6533, 621, 568, 513, 6071, 2243, 540, 942, 950, 2367, 786, 8011, 538, 1140, 2286, 741, 12227, 547, 519, 1360, 8868, 1740, 540, 2470, 4799, 307, 525, 20393, 28897, 734, 663, 1010, 8942, 547, 6542, 18714, 12616, 1379, 6771, 734, 1231, 18944, 2663, 5075, 2456, 540, 2230, 3859, 1379, 269, 1306, 7074, 676, 681, 269, 21563, 534, 8210, 321, 540, 519, 8225, 6611, 10837, 519, 6739, 23951, 560, 656, 514, 17578, 2723, 28325, 20391, 6700, 538, 476, 4489, 273, 602, 4224, 4479, 1131, 5512, 519, 4015, 538, 2230, 540, 3859, 1648, 538, 2483, 1607, 568, 513, 12744, 269, 5192, 519, 2407, 1257, 998, 707, 1153, 610, 1857, 5399, 269, 0, 1432, 568, 772, 4135, 545, 7559, 888, 308, 4135, 545, 7559, 610, 32105, 568, 606, 12176, 540, 22224, 267, 12779, 2699, 27894, 610, 29693, 13196, 593, 519, 2960, 602, 2408, 10393, 267, 2901, 607, 513, 1267, 540, 938, 1560, 781, 5114, 547, 1978, 23480, 610, 585, 7164, 4128, 269, 2353, 21544, 6547, 1291, 547, 519, 5305, 540, 513, 8825, 3940, 3957, 1277, 8533, 269, 570, 4176, 1973, 8043, 1634, 607, 1698, 650, 2456, 13451, 5714, 607, 789, 2097, 538, 3346, 609, 1277, 8533, 269, 634, 5714, 7213, 12885, 896, 519, 2960, 543, 3123, 513, 16420, 563, 2005, 2356, 3123, 21422, 855, 949, 3100, 899, 513, 6633, 610, 29097, 269, 670, 1161, 949, 2408, 593, 1022, 851, 540, 519, 1560, 799, 2882, 519, 11469, 267, 17534, 267, 3068, 267, 11563, 610, 10772, 269, 1358, 4268, 538, 2450, 543, 949, 6443, 1927, 547, 1106, 3677, 27894, 1634, 607, 29693, 13196, 269, 1452, 32105, 949, 2063, 689, 513, 1906, 3108, 547, 513, 1554, 1354, 535, 8172, 269, 670, 1161, 1860, 1472, 476, 736, 829, 1298, 540, 1004, 693, 930, 1448, 538, 1272, 563, 15650, 540, 772, 4135, 545, 7559, 454, 308, 4135, 545, 7559, 2164, 1344, 540, 1585, 5686, 540, 32105, 912, 268, 26590, 2712, 6776, 7559, 281, 621, 2882, 32105, 9434, 1447, 982, 3670, 4374, 269, 634, 1292, 3123, 1331, 1978, 5563, 267, 3536, 610, 11955, 1031, 1354, 269, 24538, 17486, 543, 1896, 4835, 3676, 666, 849, 1267, 538, 8650, 2712, 6776, 7559, 269, 589, 1297, 540, 1426, 3688, 899, 4195, 15708, 267, 5144, 267, 14274, 267, 3165, 267, 5798, 267, 10808, 267, 543, 10217, 949, 1267, 538, 519, 5250, 540, 32105, 563, 268, 4911, 1470, 539, 9047, 543, 5312, 2712, 6776, 7559, 281, 1452, 32105, 2063, 585, 811, 982, 3670, 4374, 269, 898, 568, 811, 2352, 547, 2697, 519, 2014, 540, 713, 1826, 540, 554, 633, 269, 898, 568, 1360, 2352, 547, 3313, 519, 2014, 540, 5312, 2712, 6776, 7559, 585, 1034, 1004, 269, 769, 930, 2665, 267, 11178, 267, 17537, 3968, 543, 2860, 949, 849, 581, 519, 2014, 540, 2712, 6776, 7559, 269, 4911, 1470, 539, 9047, 543, 5312, 2712, 6776, 7559, 849, 1860, 824, 4835, 8219, 899, 6091, 267, 9641, 267, 543, 519, 16063, 8778, 269, 4033, 4191, 1331, 11591, 21539, 320, 267, 13481, 267, 7411, 538, 7244, 267, 543, 15319, 1145, 538, 6091, 563, 268, 8447, 2712, 6776, 7559, 281, 1452, 5686, 540, 32105, 616, 519, 1267, 540, 9308, 18398, 3157, 899, 3635, 267, 24852, 267, 2604, 267, 3141, 4598, 267, 3002, 267, 4411, 267, 543, 11195, 269, 634, 32105, 1419, 2049, 4010, 1141, 519, 2960, 729, 4957, 543, 15991, 2408, 11992, 269, 634, 32105, 896, 713, 7121, 1376, 17729, 1369, 606, 5662, 1310, 519, 2168, 1689, 563, 268, 32536, 1748, 1143, 281, 898, 568, 519, 1034, 2596, 2186, 540, 2712, 6776, 7559, 538, 799, 32105, 2408, 1813, 547, 588, 549, 6362, 610, 31153, 519, 2960, 563, 28536, 2670, 540, 772, 4135, 545, 7559, 454, 763, 4387, 786, 2307, 1082, 2055, 538, 606, 3801, 547, 1265, 519, 2009, 2014, 540, 2712, 6776, 7559, 269, 4595, 972, 616, 1100, 1808, 4255, 585, 32105, 267, 519, 2404, 11926, 610, 2587, 1470, 539, 9047, 267, 519, 6514, 786, 4096, 593, 707, 2564, 1686, 543, 513, 9488, 981, 676, 707, 3119, 1416, 4387, 610, 17172, 6048, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 20685, 673, 4039, 520, 13659, 543, 19078, 10713, 16117, 454, 20685, 673, 8887, 13659, 568, 513, 3069, 602, 6920, 602, 13919, 9867, 1759, 593, 519, 8155, 540, 835, 779, 2528, 269, 901, 3069, 6585, 602, 2436, 606, 2962, 568, 4636, 610, 1318, 568, 890, 13949, 593, 519, 5837, 8155, 540, 519, 2486, 538, 799, 621, 568, 2808, 269, 1306, 829, 519, 5683, 8887, 13659, 267, 972, 6818, 1100, 5837, 2612, 565, 2373, 6862, 1100, 6207, 1305, 2986, 2802, 545, 269, 19078, 8887, 13659, 3340, 602, 7881, 540, 519, 2486, 547, 11457, 547, 3514, 519, 9757, 25896, 269, 19078, 8887, 13659, 6148, 1031, 676, 3549, 607, 513, 24134, 540, 1114, 1480, 4199, 2853, 971, 607, 1480, 2200, 2853, 269, 589, 2101, 1966, 2404, 609, 713, 2259, 568, 602, 3919, 949, 4043, 547, 957, 538, 3622, 30849, 6073, 543, 946, 2686, 3604, 607, 519, 24134, 269, 2201, 519, 824, 1688, 267, 5683, 8471, 1143, 4016, 547, 513, 1523, 1141, 519, 5683, 29943, 540, 606, 957, 568, 2808, 547, 581, 2147, 2066, 519, 7122, 5103, 519, 3510, 630, 5226, 842, 601, 1512, 267, 1546, 3911, 564, 267, 1299, 674, 612, 2401, 267, 476, 1001, 274, 1040, 896, 5683, 5837, 8471, 267, 519, 2596, 5837, 3741, 16637, 2686, 543, 3084, 6302, 269, 19078, 8471, 1143, 568, 1031, 547, 519, 3498, 540, 2147, 3741, 2066, 1114, 4529, 971, 4507, 1996, 4638, 5208, 269, 589, 1966, 540, 519, 3665, 5837, 8471, 1143, 568, 602, 568, 666, 1291, 547, 519, 3510, 540, 2686, 22030, 1141, 9946, 1118, 519, 13429, 602, 789, 616, 2953, 543, 5683, 538, 741, 3527, 543, 7475, 909, 23304, 8973, 824, 4529, 630, 298, 574, 267, 476, 1001, 276, 1040, 1306, 513, 29505, 9614, 267, 547, 2057, 2042, 2404, 609, 891, 5683, 7158, 267, 594, 1131, 1711, 513, 7271, 540, 7421, 9183, 1759, 593, 2188, 971, 607, 282, 2804, 2188, 282, 593, 1018, 568, 1655, 585, 519, 2754, 779, 12434, 267, 3656, 2188, 282, 3375, 602, 705, 1938, 676, 519, 4031, 540, 1312, 519, 3984, 543, 2385, 2829, 267, 543, 849, 593, 519, 5683, 2188, 282, 6236, 1018, 568, 3622, 1318, 547, 798, 563, 9558, 819, 689, 4004, 1143, 547, 13317, 1143, 454, 763, 27757, 540, 25399, 1185, 2360, 547, 519, 2477, 602, 723, 1044, 7142, 547, 4188, 547, 16851, 269, 18831, 538, 8109, 2342, 543, 519, 5449, 8168, 723, 7361, 1044, 5734, 676, 713, 9183, 269, 7324, 519, 1034, 1455, 6286, 540, 519, 5912, 689, 25399, 547, 16851, 814, 1044, 519, 5786, 540, 519, 2804, 2534, 1377, 630, 289, 3120, 342, 1195, 267, 1299, 918, 8527, 990, 267, 476, 1960, 273, 1040, 901, 5012, 547, 519, 3932, 602, 5103, 519, 1847, 547, 513, 9183, 540, 1863, 5777, 267, 2804, 7004, 4386, 7930, 269, 634, 2038, 3942, 540, 519, 5912, 1184, 568, 5185, 609, 10637, 607, 519, 1034, 11342, 2804, 1966, 799, 2838, 512, 7660, 1852, 593, 519, 2229, 24723, 543, 17923, 519, 3844, 8492, 547, 7520, 31749, 13075, 8060, 543, 9004, 13564, 1242, 17099, 269, 634, 1034, 1455, 1106, 540, 6963, 538, 519, 1184, 540, 5912, 568, 519, 3051, 26494, 602, 19658, 519, 1184, 540, 3892, 540, 5763, 630, 293, 13741, 686, 267, 476, 1220, 279, 1040, 1703, 729, 14754, 1896, 17069, 626, 15148, 1206, 1739, 513, 10419, 783, 7771, 538, 3977, 269, 901, 5912, 689, 25399, 547, 16851, 568, 513, 6041, 540, 2804, 14051, 267, 799, 6799, 1312, 6937, 543, 2591, 585, 29505, 3549, 269, 6270, 3549, 1131, 581, 7361, 4299, 676, 513, 1689, 538, 1114, 2804, 2188, 971, 607, 2095, 540, 1804, 9424, 540, 4123, 267, 5092, 267, 543, 4066, 269, 634, 11615, 538, 971, 2477, 1131, 7771, 267, 799, 1131, 581, 10483, 676, 513, 5786, 538, 519, 3044, 540, 2713, 563, 32459, 2118, 540, 15979, 454, 20685, 923, 4016, 547, 513, 1305, 540, 3741, 602, 568, 1031, 547, 3715, 1018, 568, 1318, 538, 6935, 547, 519, 2932, 540, 606, 1367, 269, 15979, 5631, 4308, 609, 519, 2596, 2035, 543, 3741, 602, 1827, 519, 1480, 2932, 269, 898, 4061, 14122, 519, 1353, 540, 5837, 2418, 543, 3044, 540, 1004, 543, 2486, 693, 1804, 269, 6355, 7881, 4016, 547, 519, 3498, 540, 519, 1482, 5683, 3741, 1031, 547, 3313, 519, 2932, 540, 2043, 547, 513, 3318, 4259, 269, 769, 1870, 7881, 267, 519, 4901, 11394, 547, 5031, 519, 5683, 2035, 4448, 547, 513, 1870, 602, 616, 11342, 538, 1870, 1305, 909, 269, 5811, 540, 1870, 7881, 5012, 547, 513, 3510, 1141, 519, 2596, 3741, 540, 7881, 616, 4294, 538, 519, 5133, 540, 513, 1870, 630, 29834, 267, 1299, 14878, 321, 1074, 267, 476, 1001, 272, 1040, 2368, 2035, 602, 9446, 713, 9183, 1331, 282, 7156, 540, 1870, 607, 9746, 4961, 267, 1434, 1870, 7881, 267, 1799, 7394, 1870, 2853, 267, 1018, 2306, 909, 513, 5837, 1318, 267, 543, 2093, 827, 5126, 269, 6355, 7881, 568, 9833, 607, 606, 10137, 540, 5837, 6138, 269, 1452, 7881, 666, 581, 1031, 676, 3919, 547, 5352, 606, 10721, 2528, 799, 3340, 8380, 3007, 593, 26655, 519, 5520, 593, 741, 5837, 17185, 1247, 8876, 856, 1870, 4308, 902, 269, 1323, 1383, 540, 713, 267, 568, 1141, 5837, 6138, 1223, 1291, 547, 5108, 540, 513, 2528, 540, 19969, 607, 1134, 607, 4947, 909, 609, 513, 3009, 540, 7881, 602, 666, 581, 7506, 519, 4600, 543, 3401, 563, 12892, 30543, 543, 32501, 454, 288, 1514, 9872, 4016, 547, 519, 1114, 543, 7294, 7158, 267, 5107, 267, 543, 8155, 267, 543, 2418, 1369, 519, 1114, 2010, 540, 1514, 2497, 543, 1785, 1005, 2101, 569, 7123, 3270, 538, 1480, 2200, 269, 634, 1614, 2101, 2010, 540, 1883, 1514, 5238, 602, 949, 723, 606, 1764, 593, 519, 1870, 1604, 616, 2804, 1949, 267, 1377, 540, 22713, 267, 543, 2010, 540, 4984, 269, 4317, 9872, 814, 1044, 4330, 547, 16922, 593, 606, 5044, 540, 7158, 267, 5107, 267, 8155, 543, 2418, 4368, 730, 538, 519, 1514, 2497, 543, 3238, 538, 519, 12180, 519, 3270, 540, 1480, 2534, 28110, 2509, 4909, 2042, 5275, 547, 5352, 1272, 1606, 7739, 532, 2200, 269, 634, 12250, 3069, 8711, 1114, 7127, 7154, 3903, 540, 519, 631, 10998, 338, 17929, 621, 6920, 602, 3906, 991, 547, 15666, 547, 519, 12250, 1604, 971, 607, 12250, 2418, 543, 8155, 269, 634, 3919, 949, 1491, 519, 1106, 540, 513, 4745, 14679, 610, 513, 28025, 11262, 13564, 10706, 538, 513, 4914, 2197, 799, 8612, 513, 1390, 2543, 593, 519, 1514, 10343, 630, 298, 541, 752, 1794, 1299, 962, 843, 714, 267, 476, 1001, 273, 1040, 898, 568, 7074, 602, 519, 12250, 1604, 814, 1614, 2101, 11890, 1519, 9431, 267, 5042, 267, 543, 29708, 22225, 269, 634, 9431, 30361, 568, 1644, 609, 1018, 3906, 543, 2043, 949, 4497, 538, 269, 15465, 30361, 14122, 1018, 519, 2043, 666, 610, 3112, 798, 269, 11870, 894, 30361, 14592, 1018, 519, 3906, 543, 2043, 1058, 610, 1058, 711, 798, 269, 634, 2609, 540, 519, 1514, 5238, 991, 547, 581, 2808, 538, 1818, 519, 3375, 593, 1141, 547, 1376, 513, 13564, 10706, 563, 289, 3120, 342, 1195, 267, 631, 1421, 1299, 918, 8527, 990, 267, 623, 269, 630, 1960, 273, 1040, 634, 8168, 5912, 689, 25847, 547, 16851, 281, 11832, 1852, 543, 2804, 29541, 538, 519, 3574, 2872, 269, 1977, 5081, 1670, 5623, 267, 476, 1626, 268, 4343, 563, 293, 13741, 686, 267, 966, 269, 630, 1220, 279, 1040, 3245, 4004, 1143, 547, 13317, 1143, 281, 589, 2622, 3690, 11526, 269, 7969, 4750, 540, 4139, 16457, 267, 476, 6246, 267, 630, 273, 1070, 476, 14338, 268, 14862, 563, 298, 541, 10440, 26535, 267, 631, 1421, 1299, 962, 13799, 671, 13799, 345, 267, 670, 269, 661, 269, 630, 1001, 273, 1040, 2382, 6627, 10318, 514, 1218, 2986, 5564, 24676, 11283, 725, 685, 18782, 25042, 14893, 769, 11894, 269, 4750, 540, 13188, 1299, 8556, 13577, 7070, 12458, 325, 27267, 918, 11229, 701, 3331, 506, 333, 1392, 2572, 328, 594, 19241, 529, 14508, 1654, 16740, 926, 31167, 574, 2401, 674, 752, 6686, 2741, 525, 328, 667, 1120, 27599, 267, 476, 1691, 263, 273, 1916, 298, 574, 267, 670, 269, 590, 269, 630, 1220, 276, 1040, 10713, 16117, 8957, 8887, 13659, 538, 1857, 1894, 269, 4750, 540, 7136, 9012, 15979, 267, 476, 736, 263, 275, 1070, 476, 18357, 268, 30306, 563, 5226, 842, 601, 1512, 267, 918, 269, 808, 1421, 1546, 3911, 564, 267, 667, 1421, 1299, 674, 612, 2401, 267, 667, 269, 631, 269, 630, 1001, 274, 1040, 634, 5837, 8471, 1143, 3146, 26245, 13659, 7521, 269, 918, 299, 2464, 3041, 1700, 3725, 341, 826, 9158, 1664, 267, 476, 2767, 267, 476, 21076, 268, 26783, 2529, 19431, 267, 808, 1421, 1299, 14878, 321, 1074, 267, 654, 269, 630, 1001, 272, 1040, 4197, 519, 1909, 540, 5837, 3741, 538, 1870, 7881, 281, 589, 23006, 1014, 5133, 269, 6355, 15979, 22588, 569, 267, 476, 2641, 263, 273, 1070, 476, 13078, 268, 23211, 563, 22013, 1853, 532, 513, 1164, 7779, 1587, 693, 513, 10257, 3902, 568, 711, 2614, 15042, 563, 6546, 779, 1946, 649, 723, 2919, 476, 276, 6225, 18715, 602, 786, 1118, 707, 1995, 609, 938, 3028, 11791, 267, 2653, 267, 543, 2922, 563, 2791, 723, 547, 581, 476, 1911, 260, 2386, 540, 519, 2298, 540, 707, 1587, 547, 2285, 513, 2724, 25746, 10018, 269, 901, 6257, 721, 9985, 269, 5269, 2386, 602, 713, 10018, 568, 11207, 12001, 19403, 811, 454, 10376, 1957, 568, 7768, 689, 15072, 267, 2687, 547, 707, 5528, 269, 898, 568, 1287, 13761, 676, 938, 17096, 1673, 564, 1254, 3301, 269, 1703, 568, 1100, 7934, 1141, 17096, 1223, 25837, 538, 19403, 811, 454, 12552, 547, 938, 1863, 26941, 267, 972, 568, 1100, 1259, 585, 596, 547, 581, 5667, 15384, 30829, 269, 1284, 786, 960, 593, 707, 1957, 2394, 596, 616, 4625, 6126, 609, 519, 1267, 19403, 811, 454, 7312, 4757, 568, 2922, 267, 607, 649, 4558, 621, 2687, 547, 3486, 1239, 4027, 3652, 269, 2659, 4871, 3877, 616, 5150, 267, 607, 649, 946, 1152, 6325, 8569, 1949, 19403, 811, 454, 3528, 11488, 721, 707, 2724, 267, 596, 4444, 519, 3028, 649, 1683, 269, 6744, 856, 938, 2474, 543, 2175, 952, 596, 4782, 1870, 12909, 547, 581, 9788, 856, 538, 4013, 1893, 19403, 811, 0, 2108, 9515, 3893, 18901, 543, 1572, 519, 7128, 950, 621, 3323, 547, 2097, 1394, 547, 1272, 269, 1703, 779, 513, 1770, 1631, 1818, 922, 1259, 547, 4787, 753, 523, 13985, 10740, 609, 519, 28075, 340, 3570, 2223, 1767, 7128, 22557, 30513, 2441, 2088, 2977, 753, 5459, 593, 14349, 12784, 563, 296, 7666, 11446, 666, 1332, 547, 13080, 540, 909, 547, 476, 273, 269, 276, 15432, 543, 666, 2661, 585, 476, 736, 547, 476, 1839, 1296, 269, 1358, 616, 24549, 2803, 543, 616, 5065, 547, 519, 7733, 540, 6239, 3013, 543, 7187, 3162, 3013, 269, 1809, 519, 2831, 616, 849, 4742, 513, 811, 1455, 8289, 538, 519, 16528, 18137, 607, 4620, 5411, 5051, 3442, 547, 29746, 741, 13311, 28499, 1282, 519, 4832, 9702, 4005, 563, 29467, 729, 513, 942, 950, 1004, 1131, 12235, 856, 741, 4832, 7314, 269, 3767, 1004, 12235, 856, 741, 4832, 20641, 1354, 2469, 593, 9702, 2223, 13744, 553, 654, 22844, 1598, 7238, 332, 693, 4787, 753, 523, 13985, 10740, 5143, 3377, 8116, 570, 307, 563, 763, 1306, 335, 5844, 28075, 340, 3570, 568, 2484, 689, 1373, 519, 7887, 28458, 547, 4324, 689, 519, 13442, 635, 325, 2176, 6035, 676, 4787, 753, 523, 13985, 10740, 563, 2108, 10521, 2025, 21031, 941, 856, 16116, 15708, 538, 670, 3291, 16636, 950, 789, 5949, 2390, 513, 3670, 31475, 516, 17489, 1630, 320, 1526, 2774, 528, 602, 26693, 476, 5952, 737, 3342, 269, 1284, 4682, 856, 543, 11324, 4240, 519, 13131, 1247, 519, 7128, 11324, 4240, 519, 21031, 2223, 1767, 654, 22844, 560, 7238, 332, 269, 0, 306, 12522, 18877, 9307, 2221, 602, 972, 723, 1044, 835, 14603, 16154, 538, 8381, 6019, 713, 1032, 3379, 547, 1614, 693, 713, 942, 2063, 1032, 563, 6097, 547, 634, 589, 8150, 7690, 585, 29853, 8881, 267, 10728, 6117, 814, 1831, 513, 2101, 6161, 540, 519, 1857, 267, 20823, 693, 610, 2282, 519, 1283, 540, 6808, 3106, 2152, 538, 3084, 12220, 563, 763, 7690, 11225, 10728, 6117, 607, 1022, 22247, 6117, 2623, 267, 5340, 22393, 543, 609, 2192, 9837, 540, 23304, 731, 585, 3106, 269, 6201, 540, 10728, 6117, 5615, 1331, 630, 8117, 711, 3908, 547, 2187, 11854, 5338, 538, 5230, 6808, 454, 2171, 3058, 538, 543, 856, 540, 6808, 454, 289, 24286, 6517, 12394, 547, 1780, 610, 1689, 28961, 454, 2026, 1082, 607, 476, 6321, 2600, 540, 14603 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 538, 3384, 5386, 5179, 1983, 2556, 585, 19970, 4479, 269, 1924, 10544, 707, 1907, 7901, 543, 1376, 2870, 256, 5808, 6487, 1018, 2186, 540, 5863, 4859, 3070, 19179, 1080, 6602, 538, 707, 3946, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 6701, 596, 13730, 827, 22386, 286, 3657, 596, 11842, 952, 596, 666, 1118, 513, 4876, 856, 540, 621, 286, 4270, 267, 596, 2461, 538, 519, 1318, 1747, 256, 8381, 11529, 568, 711, 1152, 513, 16180, 15908, 855, 849, 513, 1761, 28627, 585, 513, 3811, 4876, 269, 769, 713, 2376, 267, 649, 3580, 2263, 519, 7399, 543, 3255, 602, 2291, 538, 519, 1158, 540, 22386, 269, 6787, 596, 2461, 513, 476, 1724, 4458, 6040, 29681, 540, 513, 2104, 538, 22386, 610, 3274, 8049, 827, 519, 1761, 4876, 16548, 267, 1224, 593, 547, 3605, 1018, 519, 1158, 540, 22386, 814, 538, 4558, 585, 596, 563, 24841, 11529, 568, 1100, 3476, 1175, 827, 1818, 7515, 543, 23107, 1107, 621, 814, 7960, 883, 513, 3309, 543, 14762, 2872, 269, 3245, 13167, 2688, 11647, 547, 2870, 10875, 11308, 18810, 543, 2324, 607, 513, 15790, 10938, 267, 972, 616, 3875, 4876, 10092, 585, 1346, 609, 513, 6612, 585, 22386, 269, 2060, 519, 1318, 1983, 267, 5876, 267, 543, 11428, 267, 596, 666, 2490, 707, 2648, 585, 22386, 883, 513, 14323, 543, 16180, 4876, 563, 1103, 713, 2376, 267, 649, 3580, 5490, 883, 519, 1585, 4876, 3681, 18854, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 290, 629, 514, 4479, 257, 607, 851, 540, 834, 290, 32323, 4811, 1299, 670, 15477, 10292, 2464, 1315, 8381, 1740, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 769, 2221, 781, 6385, 4657, 1158, 267, 2362, 2069, 814, 7960, 3564, 2757, 15839, 7146, 2173, 677, 541, 5238, 269, 6732, 9945, 723, 7153, 607, 513, 2442, 4244, 267, 3246, 8465, 543, 3015, 1565, 3255, 585, 1053, 5001, 269, 1809, 1018, 1281, 621, 1611, 547, 11654, 606, 2228, 4110, 538, 2069, 286, 1215, 666, 891, 3292, 3895, 1514, 5126, 267, 9111, 267, 543, 7589, 1247, 5466, 10296, 2518, 2591, 899, 6940, 286, 2913, 721, 5490, 883, 891, 2055, 543, 811, 607, 649, 2263, 519, 1909, 540, 2228, 9945, 538, 5807, 12581, 543, 8537, 2069, 780, 5575, 267, 1577, 781, 5581, 930, 1898, 2474, 602, 1106, 519, 5748, 540, 938, 4901, 269, 4317, 5126, 4016, 547, 519, 1523, 540, 2870, 4023, 543, 3160, 7239, 676, 4101, 543, 909, 549, 7627, 11528, 7496, 543, 12886, 269, 769, 2069, 267, 713, 1797, 4180, 782, 2043, 723, 3160, 1569, 547, 2200, 267, 1489, 267, 543, 3255, 7488, 540, 741, 4282, 610, 3961, 269, 22640, 543, 7589, 4125, 16779, 1053, 547, 4497, 9691, 609, 1585, 5380, 267, 12840, 3927, 267, 543, 3565, 25006, 547, 2486, 998, 5483, 3375, 6194, 269, 14936, 267, 4264, 1646, 3853, 630, 16256, 19199, 264, 7854, 476, 1704, 10562, 6859, 1305, 8521, 676, 519, 2136, 8315, 6322, 693, 16701, 21899, 6710, 267, 7863, 519, 4541, 267, 543, 5009, 4708, 543, 13884, 585, 782, 1004, 676, 476, 10711, 271, 780, 3086, 602, 649, 1174, 891, 4295, 2035, 267, 875, 798, 2228, 9945, 3514, 883, 713, 4605, 286, 27603, 267, 3845, 1565, 729, 2808, 17071, 547, 3068, 3562, 19904, 6044, 1813, 547, 3908, 5872, 543, 4389, 12477, 269, 1717, 267, 8441, 538, 2029, 723, 9927, 2228, 2069, 267, 7175, 7347, 2792, 9055, 1063, 16929, 543, 9905, 267, 15138, 13502, 267, 543, 7317, 19180, 2833, 269, 5047, 267, 26886, 2228, 9945, 1631, 2709, 11826, 4081, 3292, 3056, 547, 5232, 6697, 547, 1346, 24705, 1042, 676, 6671, 5238, 269, 1452, 7835, 1459, 3078, 7399, 585, 14027, 1514, 5126, 267, 9111, 267, 543, 7589, 1369, 2362, 2069, 780, 3080, 1713, 5413, 540, 2228, 9945, 568, 741, 4390, 547, 3914, 3309, 5095, 945, 949, 6382, 3668, 1569, 547, 2298, 2069, 269, 1635, 14874, 10923, 10148, 267, 2228, 5867, 5512, 1053, 689, 6552, 2127, 267, 9207, 5703, 2950, 267, 610, 27797, 14227, 10080, 547, 10536, 3407, 1702, 543, 1983, 1510, 882, 20814, 610, 27531, 2123, 9021, 269, 5015, 267, 3059, 2645, 7520, 5698, 1851, 6267, 2066, 10665, 267, 14237, 3444, 14426, 4656, 543, 6568, 1107, 7907, 2629, 585, 2502, 24339, 5597, 538, 513, 2518, 1242, 1158, 780, 1103, 1840, 547, 3376, 2287, 1569, 267, 2228, 9945, 1404, 513, 4105, 1909, 538, 5935, 11407, 1472, 4207, 3872, 2152, 269, 3414, 5691, 13460, 543, 2228, 15473, 267, 1053, 543, 12200, 666, 4161, 17888, 6436, 543, 4507, 267, 6220, 2789, 9739, 543, 5380, 12926, 12790, 538, 24243, 269, 1280, 3236, 267, 5717, 4478, 9698, 267, 10014, 267, 543, 10333, 1831, 21950, 950, 16135, 538, 5030, 2833, 1114, 689, 1346, 3335, 6719, 538, 14046, 3332, 269, 4935, 267, 2228, 2069, 3091, 15417, 2666, 585, 14637, 11180, 2853, 543, 29355, 4529, 780, 5194, 1259, 2228, 9945, 6536, 1514, 5126, 568, 676, 10128, 12676, 19199, 883, 21195, 269, 1306, 8069, 540, 1689, 267, 7855, 1590, 5965, 2104, 3401, 547, 6330, 1950, 2042, 8506, 5499, 3435, 12082, 538, 5683, 3741, 269, 1323, 1383, 540, 713, 1935, 568, 700, 297, 300, 308, 781, 10790, 4065, 1982, 267, 799, 12799, 6663, 547, 16491, 1053, 609, 519, 2556, 1702, 267, 1983, 267, 543, 2994, 547, 2743, 6167, 12676, 19199, 269, 1635, 3695, 3584, 899, 2825, 6940, 267, 4008, 7862, 267, 543, 4389, 16526, 1369, 606, 3872, 5943, 267, 1053, 2744, 4052, 4030, 883, 875, 789, 1522, 3565, 9797, 547, 6848, 3356, 780, 11101, 267, 2228, 9945, 1683, 2189, 3255, 585, 1382, 543, 5647, 5059, 593, 7393, 3450, 543, 1565, 3157, 269, 7913, 4066, 1930, 1007, 18817, 585, 1239, 4015, 543, 2079, 267, 3850, 5640, 547, 8495, 2188, 12018, 2875, 1967, 267, 8404, 267, 543, 6278, 269, 3958, 267, 2228, 5054, 22937, 2933, 547, 17634, 609, 3209, 24099, 2409, 3358, 547, 1367, 2115, 543, 7375, 269, 6270, 10124, 3180, 10373, 1761, 585, 5355, 3872, 4093, 1247, 8195, 4227, 13103, 2404, 609, 5198, 267, 4008, 267, 9659, 4567, 267, 610, 824, 12508, 540, 3017, 780, 4913, 267, 5103, 922, 3875, 2640, 267, 2228, 2069, 8188, 1896, 2591, 538, 16734, 922, 13710, 5075, 269, 12983, 17640, 547, 3059, 7924, 267, 14479, 267, 26622, 267, 543, 7834, 2611, 32330, 4145, 12042, 1359, 2407, 20185, 540, 2228, 9945, 262, 1761, 269, 18601, 891, 9465, 3340, 13447, 539, 3646, 689, 14519, 267, 2872, 8639, 267, 543, 3872, 5238, 7567, 269, 13018, 267, 12352, 1063, 1857, 543, 4357, 9922, 1223, 948, 8115, 519, 3059, 7941, 267, 4228, 5989, 267, 543, 2327, 12581, 1569, 547, 1164, 7779, 2228, 5752, 780, 2414, 9959, 267, 2228, 9945, 2099, 513, 9621, 20281, 538, 2362, 2069, 267, 5356, 13778, 3255, 585, 5009, 1514, 5126, 267, 9111, 267, 543, 7589, 269, 1635, 9750, 1569, 267, 8716, 5188, 267, 32750, 12676, 19199, 883, 21195, 267, 543, 6117, 5647, 267, 891, 5867, 1796, 26405, 547, 28196, 710, 3450, 543, 1565, 26336, 269, 11048, 267, 10770, 2591, 3747, 4797, 28858, 543, 7029, 689, 782, 11051, 3238, 538, 5935, 519, 2104, 5251, 540, 2069, 269, 8307, 1287, 666, 649, 12260, 519, 3020, 9153, 540, 2228, 9945, 607, 27857, 585, 2318, 1689, 538, 13287, 540, 513, 811, 1175, 267, 12581, 267, 543, 4264, 1158, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 10666, 713, 1576, 454, 1607, 10790, 6227, 1514, 5126, 267, 9111, 543, 7589, 267, 621, 3322, 2565, 3818, 16162, 9918, 1353, 543, 2620, 839, 707, 1620, 540, 2069, 538, 513, 2518, 2796, 563, 763, 10790, 4065, 693, 20506, 23051, 3627, 7720, 2803, 2160, 568, 4998, 952, 596, 616, 13730, 827, 3384, 1702, 267, 1620, 543, 1983, 547, 2232, 2152, 540, 9698, 267, 4763, 267, 10014, 267, 543, 1514, 5126, 269, 898, 568, 4998, 585, 7855, 267, 3173, 267, 9439, 267, 3609, 15670, 267, 543, 3401, 689, 3872, 5468, 267, 2146, 543, 17319, 14540, 267, 543, 3609, 5823, 607, 1134, 607, 585, 1699, 15938, 1053, 563, 288, 1883, 1445, 540, 713, 10872, 568, 547, 16491, 1053, 609, 1270, 15363, 1702, 267, 1983, 267, 543, 2994, 547, 10994, 2591, 538, 5870, 6167, 12655, 4886, 17644, 269, 1411, 786, 1451, 547, 2243, 7608, 3069, 543, 3609, 267, 2070, 2069, 689, 513, 2518, 5133, 543, 2263, 1883, 2152, 971, 607, 9698, 267, 10014, 543, 10333, 269, 901, 10872, 3322, 2565, 3818, 16162, 9918, 1353, 606, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 15697, 29550, 257, 607, 851, 540, 834, 3633, 24102, 1315, 12140, 1315, 20946, 1315, 14451, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 276, 281, 634, 10017, 19992, 32573, 1782, 1107, 4197, 2659, 20556, 609, 11485, 543, 25166, 731, 692, 7072, 692, 5970, 596, 2479, 9289, 1946, 1004, 13708, 1076, 286, 1548, 11479, 873, 547, 1491, 4220, 267, 1256, 950, 789, 917, 519, 12918, 949, 581, 1996, 873, 286, 901, 3184, 12538, 883, 519, 4241, 1158, 540, 13989, 6530, 267, 3695, 875, 2043, 13498, 1981, 543, 8007, 267, 543, 875, 891, 11994, 3337, 741, 3375, 6194, 3157, 1247, 2502, 538, 11080, 2238, 269, 1284, 3513, 4983, 2013, 2090, 267, 5659, 8579, 1239, 267, 543, 1683, 4052, 5751, 547, 948, 1762, 4079, 1174, 741, 2078, 609, 4960, 543, 5506, 269, 1635, 519, 1439, 540, 713, 3184, 267, 596, 786, 581, 9280, 609, 2565, 3206, 1983, 2556, 547, 1118, 5483, 3664, 827, 707, 1378, 6278, 609, 1585, 3029, 540, 11080, 543, 2708, 707, 7209, 7592, 538, 6935, 547, 13989, 5615, 780, 4089, 476, 272, 281, 17438, 543, 32185, 692, 23536, 1464, 3069, 2488, 519, 5748, 585, 782, 2413, 13989, 2853, 269, 898, 4016, 547, 519, 10171, 540, 1808, 2621, 9648, 1759, 593, 6310, 9273, 269, 1717, 267, 3425, 1810, 1405, 2141, 1184, 17831, 678, 14260, 269, 15465, 12886, 1419, 1253, 677, 938, 8226, 540, 1981, 543, 8007, 267, 3056, 721, 547, 3765, 9080, 613, 3871, 543, 957, 791, 6160, 1947, 269, 769, 713, 3296, 267, 649, 786, 2263, 1896, 1883, 2035, 1644, 547, 5506, 543, 922, 1764, 593, 3375, 6194, 1282, 13989, 1384, 288, 264, 22039, 5288, 269, 17438, 15154, 454, 24109, 753, 4043, 547, 1589, 2901, 538, 2474, 540, 4908, 630, 324, 3052, 1421, 834, 296, 4465, 1614, 856, 540, 2947, 914, 338, 8442, 610, 5506, 9497, 2467, 781, 513, 476, 2568, 260, 4960, 594, 3513, 3094, 20257, 3194, 2982, 602, 4908, 2861, 7744, 2531, 7149, 3355, 21520, 267, 3226, 1851, 1346, 945, 3668, 6101, 2069, 538, 6128, 269, 16629, 16394, 17908, 713, 7613, 676, 9306, 10888, 12451, 3079, 540, 3020, 17831, 267, 2870, 606, 21903, 540, 1852, 602, 7512, 2417, 25919, 780, 289, 264, 2997, 22355, 1261, 22618, 454, 763, 8244, 646, 22618, 568, 513, 2790, 30246, 1031, 547, 7447, 519, 10171, 540, 606, 2680, 1759, 593, 11593, 2139, 1344, 269, 1280, 1383, 267, 2576, 1522, 8263, 602, 10888, 2462, 693, 513, 18921, 3684, 568, 1455, 1317, 789, 4749, 1294, 1866, 3257, 865, 269, 2755, 8732, 16394, 21825, 1747, 1164, 1790, 11691, 6191, 2282, 1303, 27509, 543, 14261, 2127, 547, 1711, 971, 24221, 267, 13544, 26105, 2611, 4686, 20825, 19250, 6340, 780, 290, 264, 4762, 3305, 566, 4437, 553, 454, 18183, 3305, 566, 9186, 5012, 2043, 547, 3343, 2963, 5885, 26608, 18727, 4978, 1247, 24937, 30137, 5013, 269, 1879, 4294, 547, 13989, 267, 21533, 9186, 2164, 538, 5716, 16208, 3270, 1369, 4351, 9696, 267, 5316, 5024, 17993, 547, 5578, 2864, 982, 9939, 269, 3683, 942, 267, 713, 5042, 5470, 25040, 32601, 6788, 543, 11942, 16609, 2623, 780, 4089, 476, 273 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 1352, 3081, 269, 834, 296, 9364, 979, 865, 2484, 607, 547, 2161, 602, 2780, 2029, 568, 547, 3450, 1018, 4050, 27957, 729, 547, 4915, 269, 1548, 649, 1590, 798, 1631, 568, 1118, 2386, 18864, 4413, 525, 856, 593, 621, 4799, 10702, 1344, 3725, 2224, 1543, 0, 7049, 525, 602, 5862, 8038, 3541, 4471, 637, 20726, 693, 19427, 454, 301, 545, 15614, 717, 20234, 601, 267, 2022, 4777, 28118, 8284, 538, 7636, 7350, 267, 3096, 513, 27789, 2121, 547, 6952, 4829, 13733, 538, 519, 2160, 24184, 2146, 4677, 269, 717, 20234, 601, 29622, 519, 6090, 602, 5397, 3604, 538, 6477, 7695, 538, 4829, 13733, 630, 2102, 639, 667, 4592, 32166, 1070, 1210, 13733, 9575, 538, 1010, 19887, 543, 1472, 519, 2160, 24184, 2146, 4677, 11003, 24050, 563, 20124, 676, 281, 7812, 1280, 3122, 681, 1054, 321, 691, 454, 1607, 5256, 4829, 8038, 630, 313, 777, 337, 542, 639, 3857, 339, 9528, 264, 27507, 540, 14159, 23416, 14550, 519, 24466, 4763, 540, 14159, 6477, 7695, 538, 667, 4592, 17232, 13160, 269, 12832, 15614, 717, 20234, 601, 267, 2022, 4777, 28118, 8284, 538, 7636, 7350, 267, 21503, 519, 6090, 602, 5397, 3604, 538, 6477, 7695, 538, 4829, 13733, 630, 2102, 639, 667, 4592, 32166, 1070, 1210, 713, 8038, 689, 513, 2249, 6006, 4099, 543, 824, 13733, 9575, 693, 1010, 2160, 24184, 19887, 543, 693, 519, 2160, 24184, 2146, 4677, 11003, 24050, 563, 20124, 676, 281, 12832, 15614, 717, 20234, 601, 454, 1692, 27723, 1114, 2831, 12446, 693, 519, 1482, 1560, 1544, 610, 4806, 540, 15022, 3512, 566, 814, 1279, 1044, 513, 598, 1495, 5300, 540, 11095, 7350, 563, 3719, 1631, 267, 7064, 547, 519, 10477, 3541, 686, 699, 540, 513, 3552, 4829, 8038, 267, 9676, 593, 513, 11003, 24050, 676, 513, 2160, 540, 16855, 5336, 611, 2581, 2022, 28273, 28118, 2875, 267, 3744, 723, 1044, 2111, 547, 3561, 513, 4686, 1383, 540, 7636, 19427, 267, 519, 1184, 676, 799, 1114, 2831, 946, 519, 1482, 6090, 547, 14578, 6427, 2147, 1560, 3270, 543, 3889, 563, 16240, 538, 519, 1699, 3390, 630, 13971, 269, 476, 2641, 264, 540, 519, 4760, 7186, 267, 513, 1895, 3366, 676, 1530, 534, 2961, 2651, 543, 12832, 15614, 717, 20234, 601, 540, 519, 20999, 24806, 6481, 4659, 630, 295, 295, 11085, 264, 693, 772, 310, 5336, 611, 2581, 267, 6257, 519, 4719, 6127, 602, 1852, 519, 4778, 543, 3270, 593, 4829, 8038, 705, 3256, 839, 269, 634, 1353, 5267, 602, 519, 2241, 25244, 540, 513, 16606, 3815, 267, 513, 3940, 602, 666, 12622, 547, 5027, 543, 3310, 922, 2534, 267, 949, 581, 3743, 585, 12044, 519, 4763, 540, 1560, 2681, 3270, 1851, 1644, 3662, 2249, 563, 257, 4263, 519, 3308, 1377, 267, 4720, 28197, 3294, 2437, 2961, 2651, 6941, 269, 834, 1103, 4167, 338, 7960, 12209, 269, 20002, 7960, 12209, 269, 645, 1846, 7960, 12209, 269, 634, 2243, 649, 616, 6998, 568, 910, 538, 1644, 2831, 899, 7786, 267, 585, 1383, 910, 1705, 789, 12446, 693, 891, 1560, 4566, 610, 23598, 538, 519, 1482, 1259, 24350, 3519, 1597, 1304, 569, 267, 519, 2626, 729, 1336, 609, 519, 948, 540, 513, 3552, 4829, 8038, 267, 9676, 676, 717, 20234, 601, 267, 513, 2022, 28273, 28118, 8284, 269, 623, 2720, 5224, 1010, 15908, 540, 10655, 543, 1062, 520, 1944, 7786, 2282, 513, 3574, 539, 8778, 2673, 547, 26267, 1261, 2074, 267, 513, 8027, 1950, 585, 772, 310, 5336, 611, 2581, 1053, 543, 741, 3885, 267, 717, 20234, 601, 9676, 513, 3552, 4829, 8038, 602, 6743, 1360, 1454, 899, 519, 2249, 667, 4592, 32166, 14264, 690, 2120, 267, 519, 960, 1817, 572, 540, 1082, 2413, 11976, 20682, 563, 19285, 1336, 513, 667, 4592, 32166, 609, 513, 4806, 540, 6477, 7695, 2147, 547, 14264, 690, 2120, 267, 1498, 713, 2249, 729, 15069, 1360, 11397, 2437, 717, 20234, 601, 6941, 269, 834, 296, 26870, 621, 543, 6594, 621, 267, 543, 1336, 602, 519, 11976, 5817, 922, 20119, 4806, 729, 2147, 547, 14264, 690, 2120, 4799, 3528, 9236, 519, 7636, 25029, 540, 519, 9676, 8038, 267, 543, 824, 8038, 2249, 2879, 1563, 610, 6382, 9715, 676, 717, 20234, 601, 267, 519, 16855, 1895, 729, 2111, 547, 1265, 4719, 1455, 8017, 2066, 476, 1724, 2249, 8720, 519, 1585, 8371, 540, 519, 4829, 8038, 1920, 563, 5445, 1336, 602, 513, 1455, 5444, 1634, 607, 11313, 289, 878, 8584, 1532, 2350, 273, 685, 568, 28729, 6766, 910, 17408, 8898, 676, 16606, 2188, 910, 547, 3132, 513, 2647, 2039, 540, 4806, 543, 2681, 6477, 7695, 593, 519, 705, 3256, 839, 540, 4829, 13733, 2066, 1082, 2249, 563, 763, 6602, 540, 713, 1383, 540, 7636, 19427, 267, 2687, 547, 2961, 2651, 543, 717, 20234, 601, 267, 2488, 27563, 609, 1007, 5813, 883, 875, 6090, 602, 616, 3838, 676, 1082, 2831, 666, 581, 1031, 538, 1114, 2081, 547, 3310, 1560, 4566, 563, 20442, 4941, 547, 917, 267, 616, 891, 1919, 15385, 519, 1482, 8115, 547, 1205, 547, 513, 5551, 10278, 2437, 2961, 2651, 6941, 269, 834, 763, 2626, 267, 649, 1336, 267, 729, 9811, 543, 1100, 269, 1703, 616, 824, 2081, 2066, 519, 5757, 269, 27029, 1103, 930, 8320, 267, 2961, 2651, 543, 717, 20234, 601, 1336, 602, 519, 4719, 7271, 610, 8115, 547, 3310, 519, 5444, 729, 17808, 269, 834, 2005, 729, 711, 1930, 585, 1870, 538, 930, 540, 891, 2516, 2437, 2961, 2651, 3081, 269, 834, 3719, 1018, 649, 4121, 729, 602, 2147, 630, 7853, 264, 3270, 666, 11457, 538, 1312, 607, 2831, 946, 519, 1482, 2619, 610, 513, 1114, 8905, 257, 547, 519, 1482, 1439, 563, 288, 1644, 7271, 949, 581, 693, 960, 538, 519, 5432, 14799, 12704, 27134, 267, 2961, 2651, 5267, 267, 607, 621, 568, 1634, 602, 835, 666, 1205, 834, 29539, 2903, 338, 540, 1114, 3270, 1210, 519, 1482, 6090, 269, 769, 602, 2013, 267, 4763, 568, 12913, 998, 519, 1482, 7271, 563, 257, 2791, 666, 1491, 835, 630, 2102, 2045, 264, 6345, 267, 512, 28310, 609, 621, 543, 1205, 782, 891, 1114, 3270, 2437, 646, 3081, 269, 834, 3719, 596, 666, 1869, 1205, 2147, 3270, 1510, 15700, 519, 1482, 11453, 2437, 646, 3081, 563, 291, 1751, 568, 513, 1883, 1448, 267, 3081, 717, 20234, 601, 267, 1317, 621, 568, 606, 1271, 2460, 540, 2067, 1686, 267, 543, 922, 12105, 543, 11095, 13279, 616, 711, 1134, 6956, 676, 27563, 563, 257, 2252, 596, 1413, 693, 824, 2831, 910, 7314, 267, 585, 3236, 910, 596, 3580, 1294, 513, 1360, 3376, 2039, 540, 2681, 3270, 602, 616, 1175, 1114, 6772, 904, 593, 519, 1482, 1560, 1544, 269, 1411, 666, 8831, 713, 6772, 599, 4341, 547, 2244, 25658, 267, 4622, 15315, 267, 23832, 18346, 267, 17984, 543, 865, 593, 2437, 646, 3081, 563, 10303, 519, 3270, 616, 1950, 543, 741, 2039, 568, 3573, 267, 621, 568, 1419, 10924, 602, 519, 11976, 602, 20690, 873, 616, 1950, 269, 1809, 519, 16855, 1353, 267, 717, 20234, 601, 3081, 267, 5267, 602, 519, 7636, 4493, 585, 971, 4763, 666, 581, 7522, 539, 1524, 547, 513, 21230, 2241, 4719, 3014, 1544, 563, 20442, 4076, 6743, 693, 8038, 2249, 602, 616, 538, 519, 1482, 2039, 540, 24466, 27754, 607, 519, 2777, 3032, 267, 519, 682, 16985, 267, 519, 1750, 29609, 543, 519, 20562, 615, 2437, 646, 3081, 563, 1103, 602, 2796, 267, 717, 20234, 601, 3081, 267, 621, 9727, 875, 513, 1906, 6090, 267, 6766, 538, 11029, 2081, 267, 666, 1852, 1560, 23732, 267, 7801, 543, 1273, 614, 940, 2066, 519, 3662, 10806, 563, 24404, 787, 8061, 8636, 476, 2568, 279, 268, 26783, 268, 279, 2764, 273, 267, 4757, 11333, 2593, 454, 25321, 307, 16898, 281, 12832, 15614, 717, 20234, 601, 476, 2568, 279, 268, 26783, 268, 4281, 280, 279, 267, 18078, 17106, 11333, 3820, 3248, 5353, 534, 2961, 2651, 476, 2568, 279, 268, 26783, 268, 277, 866, 272, 267, 4757, 11333, 2593, 454, 24404, 787, 8061, 8636, 1923, 31823, 256, 0, 2691, 966, 302, 273, 266, 23465, 609, 23621, 273, 266, 538, 3679, 3070, 519, 2472, 616, 966, 273, 266, 543, 23621, 302, 273, 266, 269, 513, 264, 1548, 568, 519, 1761, 540, 519, 1591, 623, 339, 270, 309, 302, 273, 31956, 966, 273, 266, 2260, 307, 328, 302, 273, 31956, 23621, 273, 266, 270, 303, 339, 952, 782, 2249, 616, 513, 476, 272, 631, 269, 536, 264, 3503, 519, 11466, 3586, 4082, 543, 5173, 519, 1871, 540, 519, 11466, 3586, 563, 8923, 1294, 519, 7923, 3758, 585, 519, 4628, 30149, 1966, 4433, 1040, 25756, 3154, 568, 3812, 676, 519, 5114, 540, 9252, 609, 834, 4248, 3154, 2437, 606, 1226, 574, 6897, 7848, 540, 670, 273, 543, 2910, 5833, 676, 519, 5114, 540, 9252, 609, 5755, 269, 589, 6908, 540, 834, 4248, 3154, 257, 6404, 609, 9252, 568, 5293, 936, 513, 18463, 547, 6460, 2910, 547, 2910, 273, 676, 519, 5114, 281, 670, 273, 302, 14116, 264, 30492, 763, 2561, 541, 9850, 3254, 2630, 5161, 540, 476, 274, 2837, 18191, 871, 9643, 476, 272, 269, 1822, 700, 15620, 4448, 676, 3247, 322, 4169, 269, 10089, 321, 589, 3568, 513, 7848, 540, 670, 273, 302, 14116, 1070, 2910, 273, 14116, 1070, 543, 715, 273, 14116, 264, 693, 476, 1839, 5232, 595, 543, 513, 2698, 2604, 540, 476, 276, 5038, 6515, 32074, 269, 10089, 321, 645, 568, 8900, 543, 568, 4371, 693, 513, 2837, 540, 910, 3583, 5232, 595, 269, 10089, 321, 595, 568, 849, 8900, 543, 568, 4371, 693, 513, 2837, 540, 910, 3422, 2554, 516, 454, 273, 301, 15477, 337, 14116, 264, 1341, 5696, 273, 14116, 264, 2999, 955, 285, 476, 273, 27778, 17472, 14116, 264, 7711, 11466, 269, 12971, 27778, 568, 476, 4097, 260, 4744, 18620, 693, 476, 1839, 19592, 4181, 290, 543, 2698, 2604, 568, 476, 271, 269, 1839, 693, 332, 269, 12433, 918, 335, 543, 918, 322, 269, 594, 917, 875, 547, 1205, 918, 335, 543, 918, 322, 609, 2016, 1948, 540, 18253, 7711, 11466, 267, 855, 3112, 4137, 856, 875, 547, 1205, 621, 689, 519, 2600, 4744, 27937, 269, 594, 6836, 3403, 1154, 1585, 2418, 602, 594, 2219, 530, 518, 454, 21296, 3903, 2243, 827, 1018, 666, 1689, 519, 5223, 540, 2472, 547, 2746, 1218, 538, 606, 11466, 31529, 7848, 563, 7617, 540, 519, 1739, 786, 10691, 1689, 519, 5223, 540, 519, 2472, 547, 2746, 1218, 538, 606, 11466, 7848, 585, 513, 3114, 5114, 5473, 31529, 2249, 286, 513, 269, 2810, 519, 2604, 536, 269, 13302, 519, 4320, 524, 269, 1840, 540, 513, 4396, 2746, 656, 546, 269, 8851, 540, 513, 575, 848, 639, 1587, 552, 269, 9039, 540, 519, 1657, 454, 2690, 519, 1062, 2910, 14116, 11924, 295, 273, 302, 14116, 264, 2999, 734, 285, 2910, 273, 14116, 11924, 295, 273, 14116, 264, 918, 335, 568, 476, 272, 269, 277, 693, 476, 12010, 298, 269, 1403, 476, 271, 269, 4335, 693, 332, 2910, 14116, 264, 543, 476, 271, 269, 4335, 693, 332, 670, 273, 302, 14116, 264, 616, 5916, 538, 513, 20177, 1166, 2532, 267, 1018, 568, 519, 11466, 9864, 2604, 540, 2910, 273, 14116, 21663, 513, 269, 476, 271, 269, 29344, 693, 332, 536, 269, 476, 271, 269, 28143, 693, 332, 524, 269, 476, 271, 269, 5325, 272, 693, 332, 546, 269, 476, 271, 269, 2568, 279, 693, 332, 552, 269, 476, 271, 269, 280, 5655, 693, 332, 454, 301, 527, 549, 1910, 331, 17296, 10920, 5099, 2687, 547, 713, 5114, 281, 476, 273, 17472, 5141, 14116, 264, 630, 3225, 10329, 1129, 264, 476, 273, 17472, 14116, 11924, 5141, 273, 14116, 264, 476, 271, 269, 7785, 693, 332, 540, 6491, 549, 1910, 331, 17296, 568, 20177, 538, 513, 1166, 2532, 543, 4847, 547, 3914, 11466, 269, 1403, 476, 2767, 260, 540, 519, 12971, 5141, 10920, 5099, 267, 1018, 568, 519, 552, 336, 592, 756, 8922, 3586, 585, 519, 5114, 286, 513, 269, 476, 271, 269, 21916, 5952, 536, 269, 476, 271, 269, 4281, 272, 524, 269, 476, 271, 269, 27157, 271, 546, 269, 476, 271, 269, 24907, 552, 563, 2690, 519, 5114, 2630, 267, 519, 9864, 12503, 540, 9362, 693, 11466, 616, 607, 5205, 281, 670, 273, 284, 278, 269, 272, 343, 1015, 28260, 276, 693, 332, 267, 1849, 273, 284, 273, 269, 276, 343, 1015, 28260, 277, 693, 332, 267, 543, 670, 5141, 284, 274, 269, 271, 520, 332, 269, 1548, 568, 519, 1871, 540, 519, 11466, 3586, 918, 335, 286, 670, 273, 14116, 11924, 5141, 273, 14116, 264, 815, 476, 273, 295, 5141, 14116, 994, 2690, 799, 540, 519, 1739, 6547, 1281, 918, 322, 3160, 918, 335, 286, 513, 269, 595, 273 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 634, 15669, 28279, 721, 267, 6026, 1864, 267, 521, 543, 2219, 560, 11467, 602, 948, 596, 1020, 707, 1378, 1448, 540, 2070, 269, 1717, 267, 1247, 596, 960, 998, 1142, 1900, 269, 5637, 540, 799, 1331, 267, 646, 11438, 513, 7784, 267, 519, 1840, 540, 519, 1936, 2209, 1378, 30031, 269, 7345, 16037, 2390, 4466, 856, 602, 1352, 568, 711, 513, 20424, 7024, 1200, 269, 4762, 4310, 543, 1253, 571, 9853, 267, 5768, 582, 6645, 519, 15881, 1807, 1352, 1185, 1100, 2856, 269, 1306, 952, 1352, 941, 8697, 5370, 269, 589, 3106, 13390, 1081, 1010, 3735, 4651, 10756, 2419, 1258, 1834, 540, 513, 2669, 2062, 339, 1245, 1557, 7300, 7151, 20048, 1834, 267, 513, 12280, 267, 2062, 339, 1245, 267, 1557, 15005, 910, 19201, 974, 5178, 810, 634, 4107, 26735, 12510, 563, 2419, 1258, 1834, 540, 513, 2669, 2062, 339, 1245, 1557, 7300, 7151, 20048, 1834, 540, 513, 2669, 2062, 339, 1245, 267, 1557, 2243, 1775, 723, 1775, 991, 930, 563, 2419, 1258, 1834, 540, 513, 2669, 2062, 339, 1245, 1557, 3367, 7151, 20048, 1834, 540, 513, 12280, 5983, 339, 1245, 3848, 476, 272, 12834, 5811, 689, 22175, 2419, 11301, 563, 2419, 1258, 1834, 540, 513, 2669, 2062, 339, 1245, 1557, 7300, 8281, 20048, 1834, 540, 513, 12280, 5983, 339, 1245, 2433, 23397, 12834, 23397, 7666, 728, 563, 2419, 1258, 1834, 540, 513, 2669, 2062, 339, 1245, 1557, 7300, 7151, 1977, 14134, 338, 281, 634, 267, 1289, 540, 519, 8187, 676, 10793, 5507, 563, 2419, 1258, 1834, 540, 513, 2669, 2062, 339, 1245, 1557, 7300, 8281, 13159, 6651, 593, 267, 2239, 4828, 267, 1603, 11762, 267, 6201, 563, 2419, 1258, 1834, 540, 513, 2669, 2062, 339, 1245, 1557, 7300, 8281, 22518, 267, 5126, 267, 1557, 267, 3584, 267, 12819, 910, 476, 1708, 271, 11762, 27908, 563, 2419, 1258, 1834, 540, 513, 2669, 2062, 339, 1245, 1557, 7300, 7151, 10266, 1652, 7010, 1280, 2328, 1250, 1557, 585, 803, 634, 12700, 563, 2419, 1258, 1834, 540, 513, 2669, 2062, 339, 1245, 1557, 7300, 7151, 670, 2075, 345, 690, 281, 4317, 5525, 2069, 568, 1883, 547, 8600, 563, 2419, 1258, 1834, 540, 513, 2669, 2062, 339, 1245, 1557, 3367, 7151, 18830, 267, 3662, 267, 4152, 267, 1557, 267, 538, 589, 17460, 2986, 25980, 563, 4517, 513, 1842, 267, 2921, 1114, 3029, 2429, 519, 3209, 269, 16114, 328, 6210, 568, 8165, 998, 513, 13793, 1478, 538, 1931, 547, 1294, 519, 21674, 269, 25737, 901, 11905, 267, 5830, 3625, 666, 581, 11213, 267, 519, 15669, 6941, 602, 594, 3630, 29538, 715, 553, 541, 6822, 340, 1027, 15117, 950, 1352, 729, 7820, 269, 634, 22216, 787, 2107, 577, 731, 777, 657, 267, 606, 20451, 602, 786, 6961, 1271, 269, 32088, 476, 1321, 628, 6103, 20048, 1834, 540, 513, 12280, 5983, 339, 1245, 769, 16653, 4258, 16223, 990, 338, 634, 22216, 787, 2107, 577, 731, 543, 28792, 25661, 320, 6004, 4302, 345, 338, 20048, 1834, 540, 513, 12280, 5983, 339, 1245, 269, 20048, 1834, 540, 513, 12280, 5983, 339, 1245, 777, 657, 267, 543, 602, 16114, 328, 6210, 814, 4566, 547, 798, 519, 1482, 547, 6555, 2088, 7579, 269, 16610, 540, 5851, 538, 513, 1842, 267, 855, 1134, 948, 1205, 596, 936, 519, 1208, 335, 543, 1628, 513, 1390, 7291, 585, 707, 1957, 269, 7316, 3502, 10756, 19324, 2403, 2016, 519, 10034, 9110, 802, 1164, 6788, 543, 14969, 17008, 269, 1358, 616, 519, 2367, 945, 616, 2469, 547, 6146, 16114, 328, 6210, 715, 553, 541, 269, 12344, 594, 666, 1448, 596, 547, 606, 1935, 602, 1131, 960, 269, 634, 645, 25615, 30671, 547, 1305, 3723, 538, 519, 4884, 568, 535, 2117, 673, 269, 589, 2603, 568, 8345, 538, 713, 1101, 5037, 269, 1773, 322, 573, 553, 5821, 547, 3713, 606, 522, 5443, 538, 16114, 328, 31310, 5326, 814, 519, 1482, 1198, 1492, 15881, 1807, 4667, 547, 561, 5424, 593, 782, 519, 1082, 1919, 602, 1223, 723, 15286, 16114, 328, 31310, 12638, 10756, 306, 21468, 6210, 715, 553, 1513, 12638, 676, 31883, 543, 623, 32631, 30647, 9222, 729, 3361, 269, 1261, 4422, 10478, 585, 29469, 543, 530, 752, 839, 1773, 322, 5866, 6931, 3266, 538, 519, 1184, 269, 12540, 582, 23986, 1513, 741, 7391, 543, 678, 16640, 1753, 269, 654, 3994, 24500, 1223, 1419, 10413, 10756, 2419, 1258, 1834, 540, 513, 2669, 2062, 339, 1245, 1557, 7300, 7151, 16179, 267, 1557, 910, 12333, 14288, 19536, 269, 910, 476, 14689, 271, 9293, 454, 294, 2117, 807, 3057, 4302, 345, 521, 20048, 1834, 540, 513, 12280, 5983, 339, 1245, 6645, 540, 519, 5910, 1245, 2669, 540, 513, 812, 267, 16114, 328, 6210, 715, 553, 541, 907, 20048, 1834, 540, 513, 12280, 5983, 339, 1245, 907, 6423, 513, 2347, 1592, 540, 519, 3197, 538, 20048, 1834, 540, 513, 12280, 5983, 339, 1245, 543, 538, 3829, 9382, 540, 16114, 328, 6210, 715, 553, 541, 543, 4911, 11253, 30647, 9222, 907, 4429, 2419, 1258, 1834, 1557, 4168, 623, 10976, 538, 519, 20048, 1834, 540, 513, 12280, 5983, 339, 1245, 8672, 540, 2070, 568, 513, 1390, 1907, 1031, 676, 4589, 547, 948, 1020, 1650, 13602, 907, 6754, 631, 2135, 5674, 2296, 5988, 476, 2764, 267, 476, 1001, 271, 4828, 7726, 281, 9181, 519, 3096, 540, 7395, 673, 30527, 543, 922, 4644, 538, 519, 3209, 20048, 2873, 540, 513, 12280, 5983, 339, 1245, 907, 18786, 606, 1557, 593, 28792, 25661, 807, 3057, 4302, 345, 781, 20048, 1834, 540, 513, 12280, 5983, 339, 1245, 27085, 4429, 2419, 1258, 1834, 540, 513, 2669, 2062, 339, 1245, 1557, 3367, 7151, 570, 617, 904, 2979, 6780, 568, 1426, 269, 910, 476, 1911, 277, 9293, 454, 16391, 1125, 707, 4555, 543, 811, 693, 938, 13561, 1673, 22929, 1744, 15879, 641, 5675, 6997, 907, 1635, 28792, 25661, 807, 3057, 4302, 345, 907, 4429, 1607, 12744, 2982, 2985, 476, 272, 910, 476, 274, 856, 540, 476, 276, 3817, 907, 19201, 974, 5178, 810, 476, 273, 270, 1556, 270, 866, 634, 4107, 26735, 12510, 7861, 574, 769, 28792, 3057, 4302, 345, 338, 20048, 1834, 540, 513, 12280, 5983, 339, 1245, 267, 519, 15669, 1427, 20635, 519, 1650, 540, 606, 2680, 995, 15964, 602, 3576, 1747, 538, 513, 4884, 538, 12052, 907, 634, 4884, 2418, 8956, 267, 18468, 621, 568, 606, 1271, 5837, 16023, 907, 4429, 2419, 1258, 1834, 540, 513, 2669, 2062, 339, 1245, 1557, 3367, 7151, 6406, 267, 27136, 17171, 267, 5758, 269, 910, 476, 14983, 271, 9293, 454, 2419, 1258, 1834, 540, 513, 12280, 5983, 339, 1245, 676, 28792, 25661, 320, 6004, 4302, 345, 907, 3399, 2659, 5131, 23632, 907, 1548, 568, 9059, 17779, 538, 2078, 547, 28792, 25661, 807, 3057, 4302, 345, 781, 20048, 1834, 540, 513, 12280, 5983, 339, 1245, 27085, 4429, 1103, 519, 3209, 20048, 2873, 540, 513, 12280, 5983, 339, 1245, 267, 875, 1281, 519, 6249, 540, 8956, 9305, 547, 519, 907, 634, 1936, 2209, 31117, 936, 5634, 855, 15151, 2629, 3877, 306, 21468, 31310, 946, 540, 519, 4395, 7450, 568, 835, 1383, 540, 1082, 529, 1945, 540, 513, 19792, 5991, 334, 767, 7708, 701, 267, 543, 1568, 547, 896, 1467, 519, 9490, 12491, 527, 1464, 540, 519, 12638, 907, 4429, 2419, 1258, 1834, 540, 513, 2669, 2062, 339, 1245, 1557, 7300, 7151, 4828, 910, 476, 28638, 271, 9293, 269, 910, 476, 14028, 280, 9293, 454, 2419, 1258, 1834, 540, 513, 12280, 5983, 339, 1245, 949, 581, 4330, 607, 513, 19792, 1650, 907, 769, 519, 1101, 4845, 267, 621, 568, 7000, 602, 16114, 328, 6210, 715, 553, 541, 786, 581, 7166, 267, 855, 519, 5467, 1590, 3136, 2542, 547, 1265, 856, 945, 7166, 1864, 543, 1946, 907, 634, 3159, 540, 519, 1650, 568, 4760, 2065, 267, 3056, 3988, 547, 3494, 602, 519, 1271, 5013, 907, 8437, 1934, 4945, 1934, 4945, 1934, 4945, 1934, 4945, 1934, 2792, 3457, 1557, 6121, 320, 795, 344, 1054, 328, 1557, 5856, 25847, 5428, 1282, 11636, 5736, 1557, 31893, 1292, 533, 27232, 328, 3905, 320, 1557, 948, 1071, 528, 1195, 7823, 5614, 907, 4429, 7617, 1331, 4250, 267, 538, 513, 2596, 267, 891, 4574, 941, 2854, 5097, 676, 1053, 543, 1683, 2565, 2079, 540, 20048, 1834, 540, 513, 12280, 5983, 339, 1245, 269, 4256, 4128, 585, 3257, 865, 267, 8709, 638, 880, 519, 23487, 539, 10145, 6656, 540, 1957, 269, 8841, 5362, 855, 7815, 532, 540, 519, 17544, 22509, 17495, 3298, 519, 5208, 602, 786, 2663, 581, 6420, 16114, 328, 6210, 269, 5696, 583, 531, 1259, 267, 543, 23998, 267, 5335, 592, 640, 267, 1459, 519, 5467, 609, 938, 1101, 4030, 883, 519, 3152, 2146, 338, 635, 13109, 538, 519, 6760, 10756, 307, 12350, 1014, 2511, 1557, 1383, 454, 5825, 1686, 6780, 948, 907, 4208, 798, 596, 1589, 707, 2816, 786, 2285, 596, 1082, 3255, 27085, 4429, 16032, 4661, 1557, 3584, 454, 3674, 621, 3020, 602, 621, 666, 581, 1031, 585, 16392, 5301, 27085, 901, 1522, 2285, 596, 513, 1114, 5086, 689, 3025, 1714, 4513, 1557, 907, 654, 19342, 814, 3144, 1010, 11213, 8823, 543, 8756, 539, 873, 883, 606, 5863, 3561, 799, 12225, 2873, 1010, 1034, 7920, 4664, 1169, 1900, 2059, 519, 1259, 907, 4429, 32354, 267, 32053, 267, 4622, 454, 7661, 267, 594, 3513, 2736, 1524, 1079, 540, 891, 3370, 2852, 1557, 1806, 543, 907, 5589, 8816, 513, 1480, 1557, 5856, 547, 2743, 519, 21120, 543, 6060, 909, 547, 519, 1665, 907, 4429, 15933, 267, 1651, 267, 513, 12834, 267, 23590, 306, 1539, 1108, 454, 288, 7033, 5202, 540, 2353, 1411, 10261, 547, 5700, 827, 2622, 2782, 907, 634, 3656, 1436, 540, 15267, 568, 1279, 936, 16746, 585, 1896, 4128, 907, 4429, 10890, 267, 1416, 1557, 2433, 15928, 267, 24310, 267, 27083, 454, 12024, 1079, 5011, 540, 519, 11777, 267, 23874, 5026, 849, 723, 741, 2671, 540, 5294, 543, 931, 907, 594, 557, 3893, 930, 4930, 547, 6952, 909, 593, 1631, 907, 4429, 24730, 6115, 2961, 591, 593, 267, 2069, 454, 1607, 786, 12701, 6267, 2417, 907, 4828, 267, 1957, 593, 5900, 6421, 19331, 731, 4521, 543, 907, 4429, 3674, 2112, 2479, 25432, 20582, 29845, 519, 10432, 454, 306, 21468, 6210, 568, 4666, 267, 513, 1780, 518, 2421, 6645, 1200, 602, 922, 1932, 3735, 269, 5808, 568, 9277, 547, 3643, 519, 4884, 602, 6640, 593, 1010, 5757, 29539, 269, 1261, 568, 9599, 547, 1294, 519, 21674, 269, 9197, 333, 3821, 632, 19448, 18665, 518, 974, 606, 9629, 3385, 568, 513, 2239, 540, 27337, 4328, 9161, 543, 1514, 6551, 7190, 10756, 22129, 267, 3408, 267, 1557, 267, 536, 691, 548, 2421, 454, 1607, 1101, 4367, 547, 519, 6146, 619, 28420, 873, 711, 607, 3226, 6562, 532, 610, 1973, 628, 1009, 344, 269, 8616, 621, 568, 1930, 547, 9118, 12496, 607, 547, 519, 1433, 777, 657, 269, 24415, 4621, 616, 8036, 543, 1031, 547, 6968, 10352, 269, 634, 2703, 802, 616, 22125, 609, 1004, 7996, 585, 519, 21674, 269, 28792, 25661, 807, 3057, 4302, 345, 777, 657, 267, 3742, 21771, 267, 1498, 1352, 568, 513, 1753, 7853, 267, 12225, 1834, 540, 513, 12280, 5983, 339, 1245, 269, 1656, 1256, 7925, 267, 521, 20048, 1834, 540, 513, 12280, 5983, 339, 1245, 568, 513, 5266, 1507, 1433, 269, 634, 15881, 2209, 3993, 2141, 4667, 547, 2226, 5728, 16060, 540, 2792, 609, 519, 824, 10034, 15161, 269, 7046, 267, 855, 607, 9642, 569, 13680, 267, 521, 2949, 3483, 10756, 14197, 4828, 5675, 9669, 910, 4828, 5675, 4741, 454, 2419, 1258, 1834, 540, 513, 12280, 5983, 339, 1245, 7698, 269, 7345, 16037, 6411, 856, 540, 8956, 950, 646, 7024, 4911, 11253, 547, 1200, 1753, 269, 5808, 5156, 3576, 2476, 267, 519, 4395, 7450, 540, 519, 2777, 10741, 5196, 519, 4884, 4009, 269, 2755, 519, 1394, 7450, 10741, 5196, 519, 2703, 802, 269, 1261, 729, 23689, 676, 519, 30647, 9222, 14552, 269, 3962, 804, 583, 2583, 513, 17180, 20386, 538, 11356, 269, 7316, 519, 21674, 568, 5921, 547, 12446, 10756, 301, 697, 630, 13957, 4432, 773, 654, 19342, 267, 3057, 542, 654, 19342, 2433, 2433, 544, 281, 7734, 454, 30874, 21771, 267, 2820, 21590, 552, 24809, 4743, 602, 16114, 328, 6210, 568, 2907, 4666, 2417, 11363, 519, 12491, 527, 1464, 540, 1010, 12638, 269, 590, 609, 4112, 534, 725, 267, 519, 15881, 1807, 7024, 547, 519, 1554, 540, 16114, 328, 31310, 2669, 269, 9889, 282, 607, 4166, 607, 519, 21674, 10596, 269, 16114, 328, 31310, 6505, 3043, 28459, 4667, 547, 1665, 1010, 12556, 527, 568, 3592, 30758, 547, 581, 26911, 676, 1973, 269, 2353, 519, 533, 20234, 543, 14039, 1214, 1590, 1229, 538, 1010, 8956, 19039, 569, 4744, 11510, 269, 27254, 568, 2648, 666, 581, 3144 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5425, 8464, 267, 3379, 547, 4079, 609, 1164, 1426, 3354, 563, 19102, 2084, 2157, 540, 1426, 22584, 941, 2404, 609, 8519, 2168, 543, 2790, 1072, 2298, 540, 1272, 8464, 269, 901, 2078, 729, 711, 6045, 676, 15295, 2188, 267, 14227, 2188, 267, 6142, 267, 610, 635, 12643, 7190, 11411, 269, 901, 1353, 5267, 960, 568, 2877, 547, 11574, 519, 1764, 540, 1514, 1981, 267, 971, 607, 1426, 22584, 267, 593, 2298, 540, 1272, 538, 4079, 267, 543, 1174, 11444, 543, 6127, 585, 713, 2078, 563, 15933, 22584, 568, 3989, 607, 519, 3908, 610, 7334, 1569, 547, 267, 610, 2702, 547, 10536, 267, 6484, 958, 7850, 1426, 630, 4785, 6395, 1040, 769, 476, 1708, 271, 267, 936, 476, 4343, 2929, 610, 476, 1556, 269, 279, 260, 540, 2475, 4079, 5030, 538, 1426, 538, 31261, 10820, 267, 609, 476, 279, 260, 8989, 1970, 1426, 3354, 543, 476, 274, 269, 279, 260, 8989, 1360, 1970, 1426, 3354, 1547, 15845, 2982, 1426, 22584, 568, 9244, 2404, 609, 513, 2039, 540, 1072, 2175, 267, 971, 607, 13119, 267, 18337, 16050, 2068, 267, 3987, 267, 17537, 267, 8482, 267, 2860, 267, 10447, 267, 12263, 267, 5312, 30126, 17422, 2068, 267, 8459, 2068, 267, 4965, 267, 543, 7687, 538, 2238, 1496, 273, 267, 274, 267, 275, 267, 276, 4940, 5253, 538, 31261, 2043, 723, 2362, 3928, 540, 6595, 8257, 11564, 543, 6413, 3074, 1256, 1310, 8051, 585, 824, 14227, 2188, 1547, 4329, 267, 1426, 22584, 13514, 513, 8101, 2883, 11411, 593, 2486, 8051, 585, 606, 5993, 1269, 6507, 269, 276, 5479, 538, 3606, 1072, 1416, 18820, 1496, 277, 267, 476, 278, 14073, 11693, 922, 9860, 267, 2404, 8801, 1072, 4093, 267, 543, 2799, 3782, 3790, 267, 3395, 3007, 2509, 5466, 1426, 22584, 607, 513, 1514, 991, 568, 2921, 1747, 2066, 1896, 3318, 2564, 7239, 267, 1072, 6142, 2628, 619, 267, 543, 3782, 3906, 945, 723, 16539, 538, 543, 4363, 9584, 585, 1426, 22584, 609, 29748, 547, 1426, 2200, 1496, 279, 267, 280, 267, 1015, 267, 1556, 267, 1321, 4940, 2755, 971, 3007, 568, 7674, 547, 1332, 519, 2963, 3490, 585, 875, 547, 2232, 1426, 22584, 693, 513, 2551, 1377, 267, 972, 2611, 10616, 538, 1620, 519, 1764, 602, 1426, 22584, 814, 593, 1072, 4567, 693, 519, 2551, 1377, 269, 13018, 267, 972, 568, 991, 547, 2417, 1174, 519, 2078, 1063, 1426, 22584, 543, 3461, 4080, 4093, 267, 12077, 1072, 1644, 2298, 540, 1272, 630, 16281, 304, 334, 299, 1070, 1367, 8226, 540, 835, 779, 2168, 543, 2790, 1072, 4567, 607, 1134, 519, 2188, 602, 3310, 741, 8647, 2073, 547, 2417, 1217, 1426, 22584, 7459, 689, 513, 11455, 29459, 563, 7212, 1585, 2090, 723, 12006, 519, 11201, 2078, 1063, 1426, 22584, 543, 15679, 304, 334, 299, 538, 2489, 1496, 1691, 267, 1428, 267, 1626, 267, 1704, 267, 1240, 267, 866, 267, 736, 267, 2641, 3910, 972, 568, 3908, 1702, 593, 2436, 513, 9570, 1700, 24978, 2078, 6818, 1063, 1426, 22584, 543, 15679, 304, 334, 299, 543, 2436, 519, 2078, 568, 5812, 2066, 1312, 2168, 543, 2790, 1072, 11890, 540, 15679, 304, 334, 299, 693, 519, 2551, 1377, 269, 4475, 267, 713, 1957, 6663, 547, 2232, 713, 7934, 676, 6313, 519, 9570, 1700, 24978, 2078, 1063, 1426, 22584, 543, 15679, 304, 334, 299, 1210, 513, 25422, 11347, 3732, 540, 2475, 4079, 269, 1284, 24370, 1125, 602, 29083, 2157, 540, 1426, 22584, 786, 581, 2404, 609, 29083, 15679, 304, 334, 299, 543, 713, 9570, 1700, 24978, 2078, 786, 581, 5812, 2066, 1312, 2168, 543, 2790, 11890, 540, 15679, 304, 334, 299, 563, 763, 476, 1001, 277, 543, 476, 1001, 278, 6481, 5890, 754, 8132, 19937, 11752, 630, 10933, 4916, 264, 729, 9916, 607, 513, 3444, 22891, 2079, 269, 1452, 1079, 1296, 3769, 2143, 2055, 593, 1426, 22584, 543, 3769, 3800, 540, 15679, 304, 5357, 269, 634, 2407, 1032, 19597, 730, 6119, 543, 1426, 3354, 6119, 689, 519, 7622, 5057, 6119, 941, 1031, 269, 19294, 4916, 568, 513, 3084, 5619, 602, 25173, 1239, 689, 772, 2529, 269, 4961, 543, 741, 3885, 593, 3688, 971, 607, 1072, 2533, 267, 7694, 267, 543, 6142, 269, 901, 5619, 3459, 10916, 538, 476, 1960, 277, 543, 568, 13327, 523, 676, 519, 10837, 585, 16195, 3194, 543, 10866, 630, 288, 16281, 304, 264, 1547, 634, 3732, 3769, 4079, 476, 1240, 543, 4587, 945, 4196, 607, 519, 4704, 1268, 538, 519, 1426, 22584, 3758, 563, 26660, 540, 1272, 454, 763, 3119, 4093, 616, 2168, 5057, 5758, 630, 303, 5425, 264, 543, 2790, 5057, 5758, 630, 300, 5425, 1070, 1312, 540, 799, 616, 6024, 3800, 269, 634, 19294, 4916, 8682, 268, 3849, 3439, 1229, 7726, 32666, 3096, 519, 10374, 4813, 268, 1321, 2657, 11752, 19405, 476, 273, 8108, 1079, 5758, 8464, 1759, 593, 6114, 547, 891, 2055, 585, 623, 5425, 543, 631, 5425, 269, 5637, 631, 5425, 543, 623, 5425, 2708, 2185, 1883, 11890, 267, 6606, 269, 1280, 631, 5425, 891, 1331, 281, 630, 272, 264, 21755, 282, 630, 273, 264, 1514, 8647, 282, 630, 274, 264, 1909, 3929, 282, 543, 630, 275, 264, 2790, 1072, 269, 1280, 623, 5425, 891, 1331, 281, 630, 272, 264, 8647, 282, 630, 273, 264, 1909, 2168, 282, 630, 274, 264, 15629, 1928, 282, 543, 630, 275, 264, 2489, 1582, 268, 3603, 1072, 269, 7151, 2055, 1331, 281, 968, 1692, 1454, 540, 519, 942, 1282, 519, 2250, 476, 275, 4374, 723, 596, 5433, 9350, 543, 12560, 286, 5608, 543, 968, 7628, 519, 2250, 476, 275, 4374, 267, 875, 1454, 1705, 1928, 15936, 609, 707, 3339, 960, 286, 6100, 6176, 689, 782, 476, 1321, 2055, 941, 1031, 607, 851, 540, 519, 18176, 6620, 585, 1312, 519, 623, 5425, 543, 519, 631, 5425, 267, 799, 729, 6192, 676, 589, 16281, 304, 1547, 5637, 10253, 616, 20639, 1759, 593, 606, 2937, 2551, 1611, 540, 476, 2004, 267, 609, 513, 3044, 11539, 540, 476, 1015, 269, 769, 1312, 10253, 2362, 8464, 4564, 2362, 8647, 4586, 763, 3119, 4830, 4756, 568, 7622, 1426, 3354, 269, 901, 4756, 568, 1759, 593, 519, 22340, 476, 1015, 268, 14403, 16989, 5253, 8232, 17361, 543, 3105, 3332, 1496, 2537, 267, 476, 2190, 4940, 634, 6151, 6060, 729, 2813, 676, 4946, 519, 31077, 4267, 547, 519, 1739, 12987, 912, 22081, 1419, 538, 519, 2063, 476, 1789, 2395, 814, 4896, 538, 519, 7622, 14126, 2436, 1426, 1131, 2196, 856, 1354, 3478, 2724, 547, 4444, 811, 9495, 24143, 540, 476, 272, 952, 15527, 2048, 21865, 685, 610, 2048, 27271, 17483, 22081, 1419, 538, 519, 2063, 476, 1789, 2395, 1705, 519, 1426, 12349, 711, 2063, 543, 519, 1268, 270, 5264, 3835, 4769, 1405, 723, 2724, 547, 1205, 811, 9495, 24143, 540, 476, 272, 952, 15527, 2048, 21865, 685, 610, 2048, 27271, 17483, 22081, 1419, 538, 519, 2063, 476, 1789, 2395, 1223, 519, 1268, 270, 5264, 3835, 711, 6488, 547, 3548, 7059, 6980, 9495, 24143, 540, 476, 272, 952, 15527, 2048, 21865, 685, 610, 2048, 27271, 17483, 24685, 519, 2063, 476, 1789, 2395, 267, 1705, 519, 1268, 270, 5264, 3835, 2569, 610, 18178, 6980, 1317, 972, 7012, 1405, 2614, 2724, 585, 1426, 9495, 24143, 540, 476, 272, 952, 15527, 2048, 13433, 17483, 22081, 1082, 6980, 941, 1236, 5792, 538, 519, 2063, 476, 1789, 2395, 9495, 24143, 540, 476, 272, 952, 15527, 609, 476, 274, 1341, 2395, 563, 24685, 519, 2063, 476, 1789, 2395, 267, 1705, 519, 1268, 270, 5264, 3835, 2479, 3548, 1447, 1317, 972, 7012, 1405, 2614, 2724, 585, 1426, 9495, 24143, 540, 476, 272, 952, 15527, 2048, 13433, 17483, 24685, 519, 2063, 476, 1789, 2395, 267, 729, 519, 1268, 270, 5264, 3835, 2479, 17237, 855, 4769, 1405, 3548, 1317, 972, 7012, 1405, 2614, 2724, 585, 1426, 9495, 24143, 540, 476, 272, 952, 15527, 2048, 13433, 17483, 24685, 519, 2063, 476, 1789, 2395, 267, 1705, 4896, 538, 519, 7622, 6336, 2597, 1317, 972, 7012, 1405, 2614, 2724, 585, 1426, 9495, 24143, 540, 476, 272, 952, 15527, 2048, 13433, 17483, 24685, 519, 2063, 476, 1789, 2395, 267, 1705, 4896, 538, 519, 7622, 711, 3548, 585, 513, 2898, 1554, 1317, 972, 7012, 1405, 2614, 2724, 585, 1426, 9495, 24143, 540, 476, 272, 952, 15527, 2048, 13433, 17483, 22081, 1082, 2395, 538, 519, 2063, 476, 1789, 2395, 1705, 4896, 538, 519, 7622, 711, 3548, 585, 513, 2898, 1554, 1317, 972, 7012, 1405, 2614, 2724, 585, 1426, 9495, 24143, 540, 476, 272, 952, 15527, 609, 476, 274, 1341, 2395, 563, 763, 6060, 729, 14661, 865, 602, 1346, 945, 12943, 476, 274, 1341, 2395, 547, 267, 968, 6011, 1082, 6980, 941, 1236, 5792, 538, 519, 2063, 476, 1789, 2395, 9495, 607, 1134, 607, 547, 267, 968, 6011, 1082, 2395, 538, 519, 2063, 476, 1789, 2395, 1705, 4896, 538, 519, 7622, 711, 3548, 585, 513, 2898, 1554, 1317, 972, 7012, 1405, 2614, 2724, 585, 1426, 9495, 1185, 606, 3606, 476, 272, 3773, 547, 741, 2949, 6060, 269, 901, 1840, 568, 1759, 593, 25760, 1696, 620, 269, 476, 547, 1683, 4086, 1464, 609, 519, 22340, 9483, 3194, 6796, 4808, 676, 26936, 519, 476, 1789, 6377, 6885, 538, 19294, 4916, 2055, 547, 519, 476, 1321, 18881, 6885, 538, 22340, 2055, 1547, 634, 8247, 540, 713, 18176, 568, 547, 14013, 7001, 519, 10335, 540, 1426, 22584, 950, 1236, 6235, 6980, 610, 711, 4189, 585, 606, 3003, 1554, 4386, 2789, 2053, 269, 31932, 729, 3989, 607, 32222, 547, 2626, 267, 14775, 609, 968, 296, 1810, 1406, 917, 892, 610, 968, 8253, 23754, 539, 892, 547, 782, 1426, 22584, 2055, 269, 1403, 606, 1367, 12943, 693, 2547, 835, 540, 519, 2055, 267, 789, 1185, 513, 6060, 7229, 1210, 519, 3688, 609, 513, 3210, 538, 519, 10471, 563, 763, 6151, 6060, 729, 19882, 883, 476, 275, 6688, 281, 1164, 1426, 3354, 630, 16557, 540, 476, 271, 1070, 8589, 1426, 3354, 630, 16557, 540, 476, 272, 1700, 273, 1070, 1970, 1426, 3354, 630, 16557, 540, 476, 274, 1700, 276, 1070, 543, 1360, 1970, 1426, 3354, 630, 16557, 540, 476, 277, 1700, 1556, 1916, 763, 23656, 919, 3769, 2085, 630, 1240, 1700, 4510, 267, 476, 3393, 1700, 5038, 267, 476, 4792, 1341, 1070, 3023, 630, 332, 1446, 267, 4775, 1070, 15869, 270, 30710, 640, 630, 15239, 6953, 529, 13732, 6519, 267, 6348, 6953, 529, 13732, 4563, 267, 17104, 267, 824, 1070, 2069, 630, 1652, 982, 1164, 1153, 267, 1164, 1153, 10927, 267, 2852, 610, 811, 1070, 7694, 630, 655, 23903, 267, 711, 6964, 1070, 3148, 630, 300, 573, 8054, 267, 19566, 267, 3162, 267, 4639, 1070, 6710, 630, 335, 3233, 14672, 792, 4057, 281, 18016, 476, 14862, 260, 6710, 1899, 267, 1970, 4747, 281, 476, 10219, 1700, 1960, 260, 6710, 1899, 267, 1647, 4747, 281, 476, 1220, 1700, 274, 4200, 260, 6710, 1899, 267, 1164, 4747, 281, 21759, 476, 6110, 260, 6710, 1899, 1070, 543, 6142, 630, 1440, 10675, 267, 1857, 267, 796, 1231, 3293, 1916, 16954, 1637, 9193, 941, 2813, 1210, 10386, 12035, 607, 5227, 676, 19294, 4916, 269, 12726, 22097, 941, 4080, 607, 21159, 543, 5924, 1611, 609, 3044, 11539, 269, 12729, 4093, 941, 623, 5425, 543, 631, 5425, 8464, 5701, 607, 6024, 4632, 267, 1247, 519, 3119, 4830, 4756, 585, 1142, 2203, 729, 519, 476, 275, 7121, 1426, 3354, 4756, 609, 2407, 1426, 3354, 607, 519, 4704, 1895, 269, 595, 20654, 919, 3769, 2085, 267, 3023, 267, 5198, 270, 30710, 640, 267, 2069, 267, 3148, 267, 6710, 1377, 267, 6142, 4567, 267, 543, 7694, 4567, 269, 19461, 3631, 3769, 796, 611, 3286, 539, 5276, 9695, 585, 519, 4830, 2078, 1063, 1426, 3354, 543, 15679, 304, 5357, 630, 303, 5425, 543, 631, 5425, 6606, 1040, 3973, 267, 4628, 14661, 5276, 9695, 3631, 941, 2196, 609, 623, 5425, 543, 631, 5425, 607, 5094, 6364, 4632, 267, 519, 476, 275, 2275, 14394, 1426, 3354, 4756, 607, 519, 3119, 4830, 4756, 267, 543, 2085, 267, 3023, 267, 5198, 270, 30710, 640, 267, 2069, 267, 3148, 267, 6710, 1377, 267, 6142, 4567, 267, 543, 7694, 4567, 607, 23656, 919, 269, 595, 20654, 919, 941, 3769, 1759, 593, 12497, 10083, 543, 5924, 536, 21725, 533, 268, 11161, 2999, 476, 271, 269, 1839, 269, 2353, 9382, 941, 2944, 538, 681, 10189, 630, 309, 619, 542, 476, 275, 269, 271, 269, 274, 1040, 589, 533, 17032, 1447, 982, 476, 271, 269, 4962, 729, 1031, 547, 3313, 8579, 4644, 563, 763, 2698, 3732, 3769, 476, 2918, 267, 3422, 2937, 5171, 609, 1426, 3354, 1239, 267, 8204, 476, 22550, 267, 279, 3066, 267, 18458, 1875, 2987, 560, 6627, 1242, 2136, 2276, 4079, 9907, 476, 1240, 1296, 543, 4587, 269, 634, 3732, 4162, 616, 2016 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8129, 540, 519, 6298, 1014, 3961, 543, 875, 621, 7960, 936, 942, 269, 2290, 1554, 267, 1247, 10283, 538, 606, 2228, 8468, 6131, 547, 8225, 1686, 267, 5981, 15054, 519, 2243, 281, 834, 4692, 4896, 1683, 930, 3140, 2796, 593, 519, 8129, 540, 519, 6298, 1014, 3961, 543, 875, 621, 2919, 8119, 1656, 865, 267, 824, 3755, 3838, 741, 4030, 267, 22805, 1927, 513, 9159, 9661, 2407, 540, 26208, 780, 2026, 835, 3593, 6045, 267, 519, 6298, 1014, 3961, 1101, 3576, 3597, 538, 519, 2038, 476, 1704, 628, 2540, 950, 3943, 3935, 9088, 8452, 538, 1018, 568, 1631, 25429, 32108, 267, 4516, 269, 1452, 23806, 267, 6140, 7768, 540, 6705, 543, 535, 29913, 267, 7930, 16916, 513, 13737, 2528, 7184, 23091, 609, 1312, 741, 3943, 22693, 543, 519, 3552, 267, 6552, 14099, 4478, 873, 269, 3683, 5481, 267, 519, 6298, 1014, 17069, 864, 25577, 543, 4396, 1881, 741, 2189, 6848, 2497, 6825, 676, 922, 1378, 10409, 267, 5289, 267, 543, 2757, 2853, 780, 4913, 267, 1776, 3593, 3773, 513, 10565, 2490, 547, 519, 1650, 9789, 597, 10058, 1915, 5185, 4049, 2591, 1813, 547, 18596, 3984, 1988, 1063, 5333, 543, 6628, 267, 28285, 538, 519, 3943, 543, 4095, 2782, 1282, 519, 4571, 268, 1240, 628, 2540, 269, 1879, 519, 3703, 25868, 1852, 540, 6298, 807, 630, 1066, 3139, 25429, 32108, 1070, 789, 14365, 1819, 547, 28170, 1947, 11753, 519, 6298, 1014, 11317, 883, 3703, 2528, 543, 3961, 267, 4611, 538, 519, 25337, 9835, 667, 2946, 9792, 618, 610, 4279, 5455, 515, 10052, 269, 23897, 1343, 540, 6298, 2103, 941, 30461, 689, 741, 22657, 543, 16559, 2066, 1585, 3703, 11182, 267, 1256, 607, 2484, 607, 17039, 1141, 789, 2968, 1634, 607, 595, 1690, 12584, 269, 898, 8604, 899, 741, 2899, 8686, 2320, 656, 2528, 1131, 28201, 2476, 883, 2116, 2579, 780, 3719, 1934, 781, 1141, 1919, 3893, 5963, 4277, 267, 2687, 547, 2943, 1776, 8468, 4759, 269, 21001, 1529, 3585, 267, 5103, 891, 10779, 885, 267, 519, 6298, 1014, 6891, 28815, 269, 4634, 9674, 676, 5318, 9883, 267, 789, 7307, 547, 8190, 2609, 540, 741, 19644, 5389, 543, 5293, 873, 1524, 998, 5481, 269, 16828, 267, 1082, 6298, 2103, 8120, 547, 741, 11537, 31845, 28393, 806, 1310, 5756, 538, 24815, 269, 2060, 1930, 7916, 267, 2199, 2296, 18702, 2950, 20888, 873, 1394, 267, 3056, 547, 606, 9058, 12760, 540, 4529, 910, 1945, 1100, 835, 1223, 723, 10567, 780, 7437, 713, 5385, 267, 5981, 4362, 711, 1152, 519, 6043, 540, 519, 1480, 6891, 855, 849, 519, 1379, 540, 9322, 9624, 4763, 269, 27837, 676, 713, 13414, 267, 5981, 12247, 539, 547, 5490, 4514, 883, 519, 6946, 13795, 540, 6298, 1014, 1686, 267, 9621, 547, 3565, 741, 4681, 1394, 547, 519, 8468, 269, 9741, 1705, 789, 917, 267, 789, 1932, 1131, 1404, 513, 1909, 538, 8497, 543, 4687, 519, 9371, 540, 519, 7415, 6298, 1014, 1004, 269, 0, 2237, 513, 1650, 538, 519, 2511, 540, 1483, 3734, 3871, 602, 1004, 2671, 538, 15473, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 912, 29205, 596, 1683, 930, 3140, 2796, 593, 519, 8129, 540, 519, 6298, 1014, 3961, 543, 875, 621, 2919, 888, 763, 6298, 1014, 3961, 3459, 547, 1020, 538, 519, 2038, 476, 1704, 628, 2540, 950, 3943, 21152, 12306, 538, 519, 2244, 602, 568, 1631, 1634, 607, 25429, 32108, 267, 4516, 267, 543, 3964, 519, 12733, 540, 6298, 807, 269, 1452, 13896, 267, 945, 941, 5097, 6705, 543, 29940, 267, 2919, 513, 3982, 2528, 543, 1259, 540, 1272, 602, 729, 6766, 676, 741, 3943, 6561, 543, 519, 27726, 267, 9678, 5251, 540, 741, 1007, 1753, 780, 7021, 942, 267, 519, 6298, 1014, 2146, 8057, 543, 3964, 3294, 607, 513, 3982, 2486, 1369, 7810, 3345, 3013, 267, 609, 922, 1378, 1893, 267, 4984, 267, 543, 9821, 269, 1717, 267, 741, 2189, 3961, 729, 12219, 676, 513, 3126, 540, 7526, 1063, 519, 3943, 543, 3703, 23693, 267, 1519, 519, 3943, 543, 4095, 2782, 538, 519, 4571, 268, 1240, 628, 2540, 780, 5475, 519, 3703, 6591, 1852, 540, 6298, 807, 267, 789, 13986, 547, 585, 322, 4601, 15849, 30968, 519, 6298, 1014, 2551, 883, 3703, 2528, 543, 3961, 269, 901, 8507, 538, 519, 7142, 1244, 677, 10620, 10640, 763, 1650, 2115, 547, 1331, 513, 8903, 543, 6397, 4729, 6335, 269, 2659, 2239, 1058, 13469, 609, 519, 13597, 543, 2123, 5905, 1336, 538, 8468, 5717, 269, 3417, 11541, 2621, 543, 3929, 3178, 563, 0, 769, 513, 9589, 4104, 5030, 1079, 8049, 7068, 3957, 24488, 543, 4858, 17383, 269, 1358, 6068, 3695, 543, 1565, 1007, 1919, 256, 2290, 1554, 267, 789, 1336, 513, 12357, 3684, 1572, 968, 21803, 25817, 1848, 898, 1223, 1491, 1022, 2262, 610, 4845, 543, 1265, 2189, 4484, 3270, 3330, 621, 269, 1809, 1101, 267, 789, 1185, 547, 4137, 856, 875, 547, 1118, 621, 960, 780, 2704, 6495, 4280, 267, 834, 289, 9545, 334, 267, 1018, 2306, 713, 3684, 865, 2027, 8119, 4858, 17383, 14452, 267, 834, 11039, 267, 24488, 267, 950, 649, 2285, 621, 513, 5569, 267, 621, 9397, 621, 1524, 883, 4130, 2694, 1572, 1412, 11357, 1598, 902, 9538, 3973, 267, 621, 30012, 909, 1346, 4773, 1510, 18110, 1022, 5022, 538, 519, 1482, 5544, 15323, 2750, 322, 1243, 569, 267, 789, 6836, 8023, 519, 21642, 25817, 519, 8360, 267, 834, 629, 2350, 611, 629, 571, 1701, 2060, 513, 627, 20071, 543, 4945, 267, 856, 1402, 6244, 513, 1592, 540, 2338, 1107, 519, 4358, 543, 10678, 2798, 540, 1142, 4806, 256, 1703, 941, 476, 2190, 2164, 267, 6029, 1585, 10659, 899, 1412, 320, 10086, 1412, 629, 10086, 1412, 9346, 10086, 543, 1256, 1412, 321, 2350, 611, 629, 256, 28847, 3719, 1287, 3357, 8373, 269, 1879, 789, 2322, 538, 741, 13074, 3659, 781, 2012, 267, 1412, 303, 12149, 517, 14115, 1090, 2222, 2675, 641, 923, 32281, 18240, 4754, 665, 18223, 2670, 3299, 519, 21642, 25817, 3893, 12758, 269, 7937, 1100, 256, 12984, 621, 7745, 286, 2107, 5310, 1932, 7294, 585, 713, 2370, 31942, 2496, 4415, 521, 5417, 2989, 12271, 267, 24488, 6743, 693, 4858, 17383, 543, 1767, 267, 834, 2005, 4667, 938, 7045, 7475, 1934, 269, 9320, 930, 13655, 2611, 5667, 9407, 1310, 782, 1701, 1656, 865, 789, 4121, 606, 1271, 3992, 910, 3006, 938, 1702, 814, 7182, 267, 543, 602, 781, 15502, 269, 4634, 1498, 789, 7948, 1405, 4194, 1169, 11015, 267, 741, 7279, 18423, 2178, 267, 11121, 811, 3621, 29293, 538, 519, 2104, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 22081, 666, 596, 1020, 513, 5124, 9074, 602, 666, 2697, 543, 1349, 782, 2009, 32545, 540, 10799, 532, 9696, 9967, 540, 5580, 543, 2539, 2013, 5022, 689, 513, 2016, 5569, 538, 971, 513, 1259, 602, 1100, 32089, 786, 723, 3197, 5918, 6088, 538, 519, 1482, 2990, 286, 14755, 267, 519, 9074, 1590, 581, 5827, 540, 7829, 10799, 902, 9967, 540, 1022, 3259, 543, 540, 8383, 908, 5918, 27289, 540, 519, 1482, 10799, 532, 267, 8156, 873, 607, 1114, 3283, 267, 855, 13936, 873, 1152, 2899, 269, 5015, 267, 519, 9074, 1058, 4558, 519, 4611, 32545, 538, 513, 3349, 5627, 519, 1376, 543, 1439, 7158, 540, 1142, 10799, 532, 32089, 13939, 689, 519, 3312, 5569, 267, 9674, 676, 513, 3021, 1807, 1915, 269, 7490, 4766, 519, 3268, 2838, 585, 10451, 891, 32545, 538, 1469, 543, 519, 5817, 5690, 602, 568, 2838, 547, 2936, 713, 10342, 563, 2080, 616, 519, 3268, 543, 5690, 585, 10451, 519, 2838, 32545, 1384, 272, 269, 3689, 267, 649, 991, 547, 2697, 782, 2009, 10799, 532, 9696, 540, 8795, 13080, 9992, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 17235, 543, 646, 626, 8874, 723, 1279, 1044, 2442, 1369, 519, 7706, 540, 7900, 6575, 543, 21576, 269, 1452, 11964, 2709, 513, 2189, 11100, 540, 24457, 267, 2962, 267, 543, 1915, 1646, 602, 8952, 9458, 7722, 543, 16539, 538, 519, 1650, 1467, 269, 2290, 8037, 1383, 540, 513, 2413, 6760, 4278, 14525, 568, 519, 476, 1001, 280, 4670, 834, 4462, 12827, 717, 2114, 2437, 9859, 676, 21013, 543, 18581, 6380, 23135, 269, 1677, 1732, 1174, 519, 10848, 543, 16082, 3238, 538, 2870, 971, 513, 8903, 4062, 540, 21576, 267, 1577, 781, 5490, 4514, 883, 1585, 3344, 540, 519, 9135, 267, 5373, 4296, 1063, 3069, 267, 3140, 2796, 267, 543, 4207, 1568, 899, 834, 4462, 12827, 717, 2114, 3010, 1262, 296, 269, 20223, 17235, 543, 1261, 626, 8606, 916, 16001, 24979, 830, 8874, 31721, 1472, 3197, 22867, 10363, 2238, 543, 1419, 2263, 4798, 540, 13919, 267, 1379, 267, 543, 4539, 269, 10738, 713, 3376, 7121, 267, 646, 626, 8874, 1445, 4481, 593, 20737, 4058, 543, 22589, 14969, 17403, 338, 269, 5637, 24848, 637, 2154, 6297, 3007, 547, 4729, 4070, 267, 8082, 2359, 267, 543, 5304, 6278, 269, 6034, 832, 1590, 3666, 1163, 3789, 267, 8375, 2962, 267, 6172, 1314, 267, 543, 6571, 1247, 4509, 513, 5812, 3159, 543, 533, 5217, 780, 1262, 2862, 269, 8466, 12745, 16001, 763, 1686, 540, 6760, 543, 646, 626, 8874, 666, 581, 14360, 1394, 547, 2038, 21035, 24299, 267, 1519, 14980, 27825, 899, 834, 763, 4053, 8208, 32580, 540, 28522, 1325, 2917, 257, 630, 4489, 273, 264, 543, 2911, 625, 899, 834, 14276, 2037, 5519, 257, 630, 4350, 272, 1040, 4438, 519, 4571, 2389, 342, 12351, 2540, 267, 4670, 1100, 597, 7153, 607, 513, 3982, 24848, 516, 6353, 676, 524, 2106, 673, 8456, 267, 5837, 13509, 267, 543, 3308, 17634, 269, 901, 3350, 3812, 11599, 10643, 971, 607, 834, 291, 19302, 1473, 655, 333, 640, 257, 630, 3707, 275, 1070, 834, 763, 8262, 12619, 257, 630, 3707, 277, 1070, 543, 834, 2419, 514, 520, 1144, 257, 630, 3192, 275, 1040, 769, 811, 2487, 5756, 267, 29724, 5991, 7546, 8874, 899, 834, 303, 592, 335, 11470, 257, 630, 1960, 275, 1070, 834, 9288, 618, 334, 257, 630, 1220, 271, 1070, 543, 834, 7804, 633, 257, 630, 1001, 272, 264, 723, 4797, 547, 28196, 710, 543, 4228, 2390, 2757, 14908, 780, 1262, 7656, 269, 15689, 540, 21988, 17235, 543, 1261, 626, 8606, 916, 16001, 288, 269, 2608, 23322, 1436, 17041, 16200, 267, 1134, 31465, 23233, 543, 21087, 1235, 616, 1898, 3334, 540, 1022, 3811, 6760, 610, 646, 626, 4670, 269, 16992, 1058, 8858, 6988, 267, 4835, 4655, 267, 543, 11541, 18144, 269, 1358, 949, 18220, 18840, 18196, 1107, 552, 3052, 1421, 4550, 12516, 525, 267, 13249, 5515, 267, 4487, 332, 785, 338, 267, 610, 10690, 28994, 976, 1107, 2943, 1869, 4865, 2189, 7592, 602, 10646, 873, 689, 3105, 23200, 780, 289, 269, 2608, 5522, 582, 12856, 17041, 589, 5402, 18705, 2239, 5849, 602, 23538, 11200, 25401, 267, 30367, 15583, 622, 24482, 267, 543, 21368, 1745, 17598, 269, 19536, 543, 19971, 1590, 10880, 513, 10347, 3666, 1063, 3589, 1464, 543, 17674, 1464, 282, 1932, 1454, 540, 2901, 666, 27298, 21951, 18399, 780, 290, 269, 2608, 24058, 13910, 17041, 28037, 14670, 2762, 4249, 513, 2629, 1909, 538, 9591, 7099, 267, 5790, 267, 543, 9135, 3961, 269, 8606, 7825, 5474, 2308, 2553, 899, 1970, 268, 4486, 8654, 267, 1688, 18988, 12514, 267, 543, 23349, 25194, 547, 1711, 11617, 2502, 6386, 602, 9148, 741, 2984, 262, 4798, 543, 18565, 780, 291, 269, 2608, 306, 895, 5071, 1299, 8535, 17041, 14675, 339, 13715, 3565, 3648, 547, 513, 4670, 781, 2949, 1764, 267, 4543, 3715, 32171, 267, 18427, 4664, 267, 543, 4463, 523, 10565, 8090, 269, 1290, 1842, 619, 1419, 6451, 2609, 540, 15690, 267, 21462, 267, 610, 5907, 2575, 547, 20838, 7803, 896, 16447, 5468, 780, 292, 269, 2608, 763, 6996, 1299, 29526, 17041, 13229, 6760, 543, 646, 626, 8874, 2232, 8471 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 24836, 9958, 2090, 693, 5375, 454, 4942, 3342, 4451, 3281, 817, 476, 276, 630, 275, 2567, 27868, 268, 27768, 630, 1001, 271, 994, 347, 20082, 1475, 4942, 3342, 4451, 568, 513, 9097, 14374, 4171, 4305, 568, 547, 23827, 622, 519, 4909, 10054, 540, 930, 2016, 2534, 267, 9015, 267, 610, 1305, 540, 4978, 269, 769, 3257, 865, 267, 10952, 14374, 1590, 3801, 547, 30431, 622, 513, 1966, 543, 547, 1020, 513, 1505, 585, 20547, 602, 1966, 269, 1717, 267, 547, 581, 3020, 547, 922, 9837, 267, 6138, 1590, 581, 2111, 547, 4983, 711, 1152, 519, 1843, 540, 922, 14374, 855, 849, 922, 1378, 1505, 540, 23827, 566, 269, 1677, 9585, 713, 4305, 267, 10952, 14374, 1590, 581, 2111, 547, 1711, 513, 3845, 711, 1152, 689, 519, 10054, 896, 7634, 855, 849, 689, 922, 1378, 10054, 267, 799, 568, 547, 2161, 267, 602, 621, 1590, 581, 2111, 547, 6318, 2055, 827, 922, 1378, 1505, 269, 901, 1582, 18022, 2716, 2032, 3340, 602, 1022, 2016, 10952, 7634, 1590, 581, 8947, 689, 606, 4244, 642, 656, 720, 1448, 269, 4595, 519, 10054, 799, 1217, 519, 14374, 616, 7184, 708, 5523, 4765, 1369, 513, 2016, 2528, 267, 1799, 534, 550, 16472, 568, 13385, 269, 634, 1152, 1259, 547, 1900, 3544, 519, 6302, 540, 891, 2686, 1095, 6269, 657, 1431, 568, 547, 2992, 593, 519, 2016, 1966, 689, 519, 642, 656, 720, 1448, 540, 1776, 2528, 781, 10952, 2245, 269, 4935, 267, 594, 8044, 602, 10952, 14374, 568, 8572, 547, 979, 3564, 1978, 7182, 1510, 1373, 3444, 14426, 6138, 269, 594, 9414, 519, 1259, 538, 799, 3444, 14426, 6138, 1281, 713, 609, 2463, 547, 519, 1966, 540, 519, 1582, 676, 11093, 519, 5375, 10952, 1935, 547, 713, 1966, 538, 5188, 609, 519, 4095, 9699, 5174, 3291, 7290, 2239, 8198, 347, 21292, 1475, 5591, 17161, 9138, 630, 25785, 621, 10245, 5591, 6688, 9138, 454, 6262, 1538, 528, 1125, 713, 1957, 994, 347, 7437, 707, 5399, 1475, 18183, 2682, 2008, 13436, 2835, 543, 4930, 454, 20755, 18333, 645, 269, 700, 14445, 630, 1220, 278, 1040, 10088, 2286, 513, 29725, 1738, 3194, 661, 1777, 22761, 269, 15979, 543, 519, 5113, 476, 1321, 630, 273, 2567, 3393, 268, 3583, 563, 10111, 7637, 9995, 3724, 320, 630, 2735, 278, 1040, 4197, 4033, 27639, 281, 5525, 538, 519, 11096, 28441, 10819, 540, 9061, 4211, 8590, 28604, 269, 20518, 3176, 676, 13019, 622, 655, 514, 523, 17340, 329, 752, 879, 653, 320, 563, 307, 2397, 12722, 630, 1001, 272, 1040, 4139, 5004, 15979, 281, 589, 11879, 267, 9061, 4211, 8590, 21887, 269, 11062, 2160, 4964, 563, 289, 2784, 2917, 700, 269, 4173, 1782, 630, 1220, 277, 1040, 634, 4436, 717, 13682, 339, 5953, 281, 19555, 2940, 583, 923, 543, 2598, 23002, 538, 519, 4436, 1234, 4003, 540, 4095, 23539, 267, 476, 10082, 279, 268, 8146, 272, 269, 30296, 563, 289, 2784, 2917, 19958, 5244, 630, 1220, 275, 1040, 5262, 1359, 18467, 267, 667, 7776, 543, 654, 1122, 281, 22414, 267, 5450, 7469, 9713, 267, 543, 6396, 1670, 19047, 538, 1261, 728, 1375, 518, 781, 968, 288, 639, 661, 514, 655, 717, 525, 1440, 7564, 577, 966, 517, 3541, 1975, 2350, 515, 6100, 1496, 3918, 26177, 316, 25550, 13898, 5623, 476, 4391, 630, 274, 2567, 29616, 268, 26552, 563, 8867, 662, 918, 269, 23514, 1723, 630, 1001, 273, 1040, 1215, 12791, 631, 7174, 281, 18000, 23063, 784, 593, 645, 6563, 532, 21661, 27639, 269, 13898, 5101, 543, 4639, 476, 7830, 630, 272, 2567, 10844, 268, 13647, 563, 311, 1125, 667, 1263, 630, 1001, 271, 1040, 9046, 543, 6396, 281, 634, 25334, 2225, 540, 22414, 5530, 1765, 8794, 968, 299, 684, 20568, 329, 807, 962, 7776, 345, 6062, 892, 607, 606, 7151, 269, 1496, 3918, 26177, 316, 13571, 4536, 540, 13898, 538, 3624, 476, 276, 630, 275, 2567, 276, 4037, 268, 7785, 563, 26469, 1261, 3315, 630, 1220, 271, 1040, 8682, 268, 8448, 9534, 543, 519, 21929, 640, 540, 27639, 269, 13898, 543, 4317, 29576, 476, 2918, 630, 277, 2567, 8618, 268, 10695, 563, 3849, 4765, 547, 4994, 1001, 271, 268, 6860, 268, 6021, 454, 13707, 28085, 1724, 630, 1948, 4817, 267, 6924, 274, 540, 476, 278, 6078, 267, 4375, 273, 12467, 13146, 28085, 630, 277, 3275, 264, 272, 630, 1948, 8618, 267, 26764, 540, 476, 278, 6078, 267, 4375, 273, 12467, 1692, 666, 594, 2333, 1250, 28085, 286, 0, 288, 22300, 1666, 5306, 740, 2763, 1336, 476, 3583, 1296, 3516, 538, 519, 16515, 600, 582, 340, 2895, 28396, 540, 3943, 2717, 29498, 807, 3357, 689, 15027, 4224, 593, 918, 22840, 262, 7637, 933, 563, 1607, 568, 513, 5458, 4062, 540, 3377, 538, 22963, 543, 7414, 22884, 267, 2717, 2106, 14198, 2528, 543, 7414, 666, 4141, 16831, 1645, 269, 898, 568, 2182, 2963, 540, 1079, 17574, 16831, 1645, 1063, 11316, 262, 328, 543, 519, 10195, 5045, 540, 519, 20337, 538, 7262, 2717, 29498, 807, 563, 2005, 949, 581, 519, 1101, 2182, 2963, 540, 22300, 22963, 1570, 538, 519, 3162, 7414, 269, 1656, 621, 25495, 2717, 2106, 14198, 5711, 2245, 267, 607, 1134, 607, 519, 8097, 16831, 1645, 5342, 676, 519, 2717, 2106, 14198, 30576, 1645, 5980, 543, 666, 3996, 899, 519, 670, 758, 2544, 262, 320, 563, 8448, 740, 8240, 7318, 538, 519, 1482, 1353, 3357, 689, 513, 1297, 540, 1114, 15027, 10195, 543, 2417, 24772, 519, 2856, 540, 513, 1974, 540, 3742, 1279, 26591, 16831, 1645, 676, 2717, 29498, 2103, 563, 763, 14147, 10195, 540, 519, 16515, 600, 582, 340, 723, 1100, 1666, 5306, 540, 741, 1378, 269, 634, 1666, 5306, 740, 8240, 1336, 972, 3357, 689, 15027, 10195, 7366, 540, 5195, 2476, 543, 689, 5176, 1169, 1448, 540, 519, 22315, 563, 28733, 569, 267, 840, 26049, 7414, 16831, 6162, 5342, 2834, 267, 1394, 543, 8521, 1279, 26591, 4123, 267, 543, 952, 711, 513, 2717, 2106, 14198, 9835, 6239, 13749, 267, 519, 16515, 600, 9369, 941, 513, 1883, 15385, 1448, 267, 513, 4044, 1049, 1259, 4812, 267, 513, 4123, 4099, 563, 2252, 1022, 811, 18969, 941, 2877, 538, 519, 30756, 514, 540, 519, 1523, 602, 2717, 29498, 2103, 941, 1524, 13388, 968, 20142, 3424, 16831, 6162, 892, 24835, 762, 540, 2842, 1189, 22892, 267, 713, 568, 621, 563, 2005, 781, 1044, 513, 3983, 1032, 585, 4896, 8066, 519, 2856, 602, 7414, 16831, 6162, 14201, 1405, 2204, 22940, 4044, 2209, 543, 25501, 269, 2423, 17067, 713, 1032, 267, 3173, 1336, 602, 9269, 7633, 593, 519, 5032, 540, 16266, 3357, 689, 519, 18939, 540, 5017, 4547, 2066, 519, 7414, 676, 2717, 29498, 2103, 269, 2334, 729, 519, 1101, 2182, 2963, 540, 1945, 2717, 2106, 14198, 1373, 1336, 538, 519, 17113, 563, 14722, 26366, 996, 7502, 3205, 543, 21244, 1284, 529, 2401, 267, 540, 5245, 781, 2160, 540, 10348, 1633, 267, 3370, 538, 3163, 630, 4178, 4732, 7220, 332, 698, 3820, 1070, 741, 1957, 968, 1805, 821, 1520, 2763, 1290, 21752, 543, 519, 6987, 550, 540, 9147, 2717, 2106, 14198, 30576, 1645, 543, 11780, 3034, 763, 476, 866, 740, 8240, 789, 7318, 941, 6394, 676, 519, 1340, 539, 21674, 7467, 9125, 6048, 26366, 996, 2506, 800, 689, 476, 4572, 280, 547, 476, 4350, 275, 269, 1358, 941, 1336, 593, 8370, 14147, 10195, 267, 1034, 540, 873, 1970, 693, 565, 3149, 1765, 288, 21531, 7534, 267, 13845, 26854, 267, 28635, 541, 10394, 267, 918, 10620, 340, 267, 2494, 328, 6062, 267, 589, 515, 267, 12872, 541, 10394, 543, 715, 4157, 583, 822, 820, 267, 7132, 519, 909, 628, 6412, 14147, 6532, 25120, 622, 320, 563, 763, 14147, 10195, 1810, 1405, 723, 1434, 4396, 267, 10053, 3766, 11712, 4224, 269, 1656, 1247, 513, 4023, 5969, 1907, 666, 581, 1500, 689, 1919, 899, 513, 1804, 804, 600, 7387, 267, 952, 596, 1810, 1405, 723, 4496, 267, 2370, 11912, 3574, 607, 23182, 607, 2182, 267, 8325, 2989, 6149, 269, 1924, 952, 596, 991, 547, 3337, 3574, 585, 666, 3996, 267, 585, 2645, 543, 585, 2777, 4070, 267, 513, 5230, 267, 10053, 267, 1666, 5306, 740, 2763, 568, 513, 8799, 3364, 563, 763, 3173, 7318, 519, 16515, 600, 582, 340, 740, 8240, 585, 2101, 2609, 267, 10250, 2609, 543, 24745, 267, 2870, 3270, 602, 4847, 519, 740, 2763, 21828, 1206, 547, 581, 8308, 5532, 547, 741, 2959, 563, 763, 2164, 6166, 602, 519, 16515, 600, 582, 340, 1895, 729, 513, 2295, 1633, 540, 2717, 29498, 807, 267, 8391, 12595, 2182, 4224, 689, 782, 8846, 31251, 11316, 262, 328, 563, 763, 1353, 1336, 602, 1367, 740, 2763, 6149, 3357, 689, 14943, 320, 547, 519, 5045, 540, 519, 16515, 600, 582, 340, 267, 681, 584, 583, 340, 538, 519, 3851, 11866, 547, 519, 22236, 267, 661, 26820, 538, 519, 3057, 13196, 553, 547, 519, 5087, 267, 519, 16381, 322, 1515, 333, 1895, 547, 519, 22703, 267, 570, 1695, 16951, 547, 519, 7178, 563, 4517, 918, 22840, 262, 7637, 933, 269, 634, 918, 22840, 262, 7637, 933, 740, 2763, 729, 6394, 593, 13845, 26854, 267, 476, 273, 267, 4335, 5195, 689, 922, 1753, 23419, 2095, 563, 2467, 616, 1896, 2959, 540, 6149, 593, 918, 22840, 262, 7637, 933, 609, 519, 1482, 3114, 15040, 267, 543, 621, 568, 10578, 602, 835, 540, 873, 568, 1360, 2282, 519, 6532, 781, 7262, 2865, 1448, 267, 1634, 607, 3223, 8403, 1731, 1695, 5942, 267, 968, 1492, 1259, 547, 570, 1695, 16951, 563, 7197, 540, 519, 740, 8240, 267, 607, 1522, 581, 4397, 267, 3357, 689, 519, 14282, 2707, 267, 519, 5980, 11866, 267, 799, 1331, 570, 1695, 16951, 563, 763, 16515, 600, 582, 340, 616, 4244, 569, 1634, 607, 519, 14529, 636, 582, 340, 267, 519, 13192, 540, 11866, 267, 519, 667, 836, 2730, 5246, 28396, 269, 1280, 2413, 25501, 267, 789, 616, 31029, 1317, 519, 10195, 616, 865, 1970, 602, 789, 616, 4749, 711, 7298, 2394, 596, 666, 1294, 610, 693, 3781, 5873, 519, 17774, 8840, 593, 741, 24528, 269, 1656, 602, 781, 1932, 2673, 585, 4313, 563, 3719, 585, 1875, 2987, 11584, 618, 4044, 2209, 899, 519, 2717, 29498, 2103, 267, 4466, 971, 10195, 729, 1271, 547, 6166, 741, 7158, 269, 1656, 538, 519, 2013, 540, 513, 1279, 22116, 689, 11316, 262, 328, 267, 952, 1223, 849, 581, 513, 1747, 547, 1065, 549, 9679, 1765, 26238, 4195, 1426, 267, 1216, 543, 824, 7727, 1131, 3592, 6157, 581, 538, 1970, 3761, 563, 1432, 547, 4123, 585, 14074, 286, 1548, 1705, 519, 16515, 600, 582, 340, 6532, 619, 991, 286, 23985, 602, 729, 3362, 6740, 538, 513, 666, 4141, 5377, 543, 7948, 1405, 27253, 269, 1215, 827, 740, 2763, 6149, 888, 5194, 2856, 568, 602, 10007, 941, 4547, 607, 30060, 13344, 269, 21452, 267, 2413, 666, 4141, 16831, 6162, 723, 2919, 10446, 513, 2245, 540, 8876, 10007, 689, 741, 1753, 10195, 607, 13344, 547, 1004, 789, 3643, 563, 2108, 5331, 519, 1871, 649, 1747, 2221, 593, 3615, 602, 22132, 689, 7192, 541, 269, 1358, 1491, 593, 513, 2027, 4567, 540, 741, 1378, 269, 901, 949, 581, 930, 540, 519, 1871, 11911, 547, 606, 740, 2763, 4547, 689, 971, 513, 3845, 2223, 1284, 529, 2401, 1767, 563, 763, 918, 22840, 262, 7637, 933, 6149, 740, 2763, 729, 1336, 593, 519, 6532, 540, 13845, 26854, 267, 538, 519, 7187, 851, 540, 519, 7262, 16515, 600, 582, 340, 269, 634, 740, 2763, 729, 1500, 540, 918, 22840, 262, 7637, 933, 4224, 267, 855, 621, 729, 8032, 538, 513, 16515, 600, 582, 340, 1374, 1765, 24175, 2248, 532, 602, 5310, 621, 729, 9447, 607, 513, 6151, 32004, 540, 4224, 267, 610, 513, 14356, 11057, 740, 2763, 968, 29734, 1848, 1656, 621, 729, 8737, 538, 519, 2199, 2511, 676, 519, 6149, 32305, 540, 519, 16515, 600, 582, 639, 563, 10527, 918, 22840, 685, 7637, 933, 740, 2763, 556, 3530, 8787, 602, 5711, 12583, 4304, 2951, 1063, 11316, 685, 328, 543, 570, 1695, 16951, 616, 2693, 547, 723, 1044, 1759, 593, 1483, 2621, 2223, 1284, 529, 2401, 1767, 563, 13010, 267, 968, 1607, 476, 6110, 271, 5998, 3460, 1631, 6763, 607, 519, 13074, 796, 5793, 32152, 17535, 22116, 538, 1480, 840, 20931, 2223, 646, 1767, 563, 17206, 540, 11316, 262, 328, 10236, 6048, 5484, 5685, 2284, 267, 513, 1071, 1922, 10133, 540, 519, 2717, 2106, 14198, 30576, 1645, 5980, 267, 1767, 519, 1265, 5526, 547, 6166, 513, 4044, 1049, 3375, 1500, 585, 519, 3355, 22116, 540, 519, 16831, 1645, 666, 4141, 670, 758, 2544, 262, 320, 267, 585, 922, 476, 3192, 277, 11316, 262, 328, 6874, 1695, 16951, 22116, 563, 6546, 3375, 281, 13743, 585, 519, 16515, 600, 582, 340, 1895 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2171, 3653, 267, 865, 649, 616, 5143, 267, 909, 547, 476, 2412, 260, 540, 519, 1426, 649, 4444, 269, 670, 4007, 10239, 540, 4232, 1154, 5388, 267, 2357, 3386, 12647, 540, 11877, 5144, 269, 1656, 693, 519, 1482, 942, 1426, 5777, 723, 6603, 606, 8978, 1164, 269, 2368, 6085, 2209, 1256, 2303, 602, 519, 19727, 538, 5527, 729, 538, 851, 1813, 547, 519, 1164, 1942, 540, 2596, 5820, 269, 901, 3018, 596, 2307, 2436, 851, 540, 519, 3070, 547, 8023, 519, 1158, 6013, 538, 4227, 519, 2179, 540, 1426, 649, 12235, 2476, 563, 293, 565, 16161, 5267, 2941, 335, 5367, 4054, 2661, 11014, 855, 267, 596, 2307, 267, 666, 713, 2731, 581, 519, 2013, 286, 7316, 798, 21823, 12404, 741, 5810, 267, 1946, 798, 7693, 2371, 1831, 25062, 936, 942, 286, 1656, 875, 1164, 568, 610, 729, 519, 5207, 7823, 2479, 547, 723, 11478, 593, 3047, 888, 4002, 519, 8470, 713, 3018, 616, 5274, 2983, 19212, 7905, 590, 826, 21207, 532, 5069, 540, 19839, 601, 2160, 282, 7905, 9324, 529, 32298, 267, 2030, 4719, 626, 689, 519, 2160, 540, 3794, 600, 6716, 543, 7905, 17722, 853, 2714, 267, 606, 2825, 10196, 689, 519, 2160, 540, 5507, 563, 303, 6974, 518, 281, 9400, 12253, 454, 303, 1238, 1356, 281, 18578, 344, 12653, 22574, 454, 288, 623, 1512, 13870, 585, 18917, 15571, 476, 275, 269, 0, 25200, 281, 27285, 20540, 281, 27286, 1607, 1449, 5161, 540, 476, 276, 2110, 2626, 2055, 543, 476, 272, 630, 1993, 476, 274, 264, 1557, 3584, 563, 14112, 8382, 5999, 454, 272, 269, 1548, 1281, 10507, 704, 24521, 2356, 1616, 547, 2911, 827, 888, 273, 269, 4208, 1281, 2961, 21059, 1589, 1352, 814, 513, 14603, 5905, 888, 274, 269, 1215, 1082, 2053, 538, 1200, 1272, 1281, 700, 10087, 14679, 856, 888, 275, 269, 1548, 798, 21634, 545, 807, 543, 16362, 24729, 550, 3626, 4235, 1927, 3006, 888, 276, 269, 1548, 1281, 667, 4040, 334, 798, 1310, 3171, 781, 2669, 888, 13625, 13445, 476, 272, 454, 298, 344, 571, 543, 2549, 2946, 878, 320, 616, 1079, 2021, 538, 519, 1482, 4884, 267, 2943, 616, 1360, 1114, 538, 3875, 2081, 269, 14424, 543, 4334, 519, 1079, 4775, 3197, 676, 1210, 1808, 1806, 689, 15196, 548, 781, 1433, 563, 13625, 13445, 476, 273, 454, 26368, 519, 6172, 1314, 540, 713, 1650, 543, 519, 3126, 540, 2621, 3056, 909, 547, 519, 6172, 1314, 269, 1215, 1705, 3197, 4431, 547, 519, 6172, 1314, 286, 1548, 1705, 10011, 21034, 1331, 538, 1200, 1650, 547, 1202, 675, 602, 519, 6172, 1314, 1131, 581, 607, 3532, 543, 6209, 607, 2009, 888, 13625, 13445, 476, 274, 454, 300, 698, 673, 17779, 568, 606, 1271, 2460, 540, 10011, 21034, 781, 960, 269, 1215, 568, 713, 4480, 1031, 547, 2995, 519, 1650, 540, 1924, 25206, 543, 1200, 20766, 286, 1548, 1281, 9589, 17779, 3565, 547, 519, 1198, 540, 10011, 21034, 781, 960, 593, 3988, 286, 1215, 1281, 1352, 6451, 621, 883, 519, 3152, 960, 888, 1607, 3296, 3568, 476, 279, 7597, 1913, 454, 26140, 269, 476, 274, 3817, 693, 476, 4968, 1913, 829, 2985, 264, 0, 25200, 281, 27285, 20540, 281, 27286, 1607, 1449, 5161, 540, 476, 276, 2110, 2626, 2055, 543, 476, 272, 630, 1993, 476, 274, 264, 1557, 3584, 563, 14112, 8382, 5999, 454, 272, 269, 1548, 568, 5181, 899, 950, 1352, 530, 1389, 888, 273, 269, 1548, 798, 14349, 543, 5181, 798, 888, 274, 269, 1677, 7247, 1281, 2836, 335, 1248, 807, 22090, 704, 513, 5728, 888, 275, 269, 4208, 1281, 6004, 269, 10934, 2661, 1141, 646, 568, 2713, 888, 276, 269, 1548, 10580, 519, 700, 821, 569, 12821, 565, 888, 13625, 13445, 476, 272, 454, 272, 269, 1548, 568, 22509, 17495, 578, 286, 1215, 1082, 1651, 573, 1878, 540, 22509, 17495, 578, 616, 538, 634, 21756, 5808, 8562, 4379, 3572, 730, 674, 8543, 1633, 286, 1215, 1281, 22509, 17495, 578, 3565, 547, 513, 1433, 781, 24457, 888, 273, 269, 9181, 606, 1383, 540, 22509, 17495, 578, 538, 634, 21756, 5808, 8562, 4379, 3572, 730, 674, 8543, 1633, 1519, 1946, 596, 3494, 621, 568, 22509, 17495, 578, 269, 3417, 1806, 689, 519, 1433, 543, 707, 1378, 1272, 547, 9414, 707, 2626, 563, 274, 269, 1215, 798, 596, 1589, 1034, 1004, 2746, 547, 10462, 538, 741, 2729, 286, 2422, 1806, 689, 634, 21756, 5808, 8562, 4379, 3572, 730, 674, 8543, 1633, 543, 707, 1378, 1272, 547, 1489, 707, 6644, 563, 13625, 13445, 476, 273, 454, 2467, 616, 513, 1297, 540, 4277, 2055, 6659, 676, 634, 21756, 5808, 8562, 4379, 3572, 730, 674, 8543, 1633, 269, 5999, 602, 4406, 25366, 1034, 2693, 1616, 3988, 547, 2015, 543, 1589, 998, 5402, 269, 9181, 519, 1739, 912, 272, 269, 1548, 1281, 519, 2165, 834, 10461, 16786, 257, 1611, 888, 273, 269, 8745, 835, 2856, 270, 935, 1061, 596, 1589, 949, 723, 1044, 513, 851, 540, 519, 4406, 25366, 781, 16786, 269, 21302, 602, 2856, 2429, 519, 1433, 543, 1865, 4406, 25366, 781, 21483, 16786, 7282, 602, 2856, 563, 273, 269, 1684, 596, 1589, 5830, 945, 723, 606, 16786, 585, 1603, 1058, 1448, 621, 856, 538, 513, 840, 2183, 888, 274, 269, 1215, 1419, 798, 596, 1589, 5708, 568, 2854, 609, 513, 2312, 16786, 538, 2247, 676, 519, 2278, 888, 275, 269, 3194, 519, 1272, 540, 4406, 25366, 543, 1294, 952, 270, 3602, 1200, 1272, 949, 723, 6766, 1200, 1603, 563, 13625, 13445, 476, 274, 454, 7021, 519, 1576, 540, 634, 21756, 5808, 8562, 4379, 3572, 730, 674, 8543, 1633, 267, 5181, 9428, 607, 513, 1268, 538, 1312, 6988, 543, 1620, 269, 634, 21756, 5808, 8562, 4379, 3572, 730, 674, 8543, 1633, 1522, 581, 2808, 513, 20105, 540, 5181, 781, 3677, 1650, 540, 1200, 834, 5765, 540, 2085, 1701, 898, 1522, 581, 1767, 602, 634, 21756, 5808, 8562, 4379, 3572, 730, 674, 8543, 1633, 568, 513, 834, 321, 843, 31258, 668, 534, 257, 540, 5181, 269, 9181, 519, 1739, 912, 272, 269, 16294, 645, 843, 31258, 668, 534, 267, 610, 834, 290, 4040, 540, 6520, 2437, 543, 2285, 1896, 1806, 689, 3332, 596, 723, 1224, 563, 273, 269, 29895, 543, 5659, 519, 1915, 540, 5181, 607, 1352, 2242, 689, 513, 1147, 569, 267, 1582, 19721, 8004, 547, 513, 5923, 518, 267, 811, 17519, 8004, 269, 1548, 616, 519, 1713, 2621, 602, 1689, 5181, 888, 274, 269, 2991, 8499, 7421, 5181, 781, 2208, 2429, 634, 21756, 5808, 8562, 4379, 3572, 730, 674, 8543, 1633, 267, 798, 596, 1589, 634, 21756, 5808, 8562, 4379, 3572, 730, 674, 8543, 1633, 1223, 581, 2808, 5181, 781, 28527, 540, 6520, 1650, 286, 4208, 610, 1946, 711, 888, 275, 269, 3657, 972, 1022, 824, 3197, 538, 634, 21756, 5808, 8562, 4379, 3572, 730, 674, 8543, 1633, 945, 979, 998, 513, 28527, 540, 6520, 1995, 286, 5808, 286, 4208, 798, 596, 1589, 865, 888, 1607, 3296, 3568, 476, 273, 267, 277, 3583, 1913, 454, 26140, 269, 476, 280, 3817, 693, 476, 4968, 1913, 829, 2985, 264, 0, 1607, 3381, 568, 689, 519, 6052, 476, 6200, 3381, 3126, 269, 898, 6941, 519, 1184, 585, 14291, 2890, 268, 14607, 2801, 883, 4492, 543, 2306, 519, 2013, 602, 13479, 2861, 6915, 30669, 3180, 11999, 1761, 585, 4543, 2569, 938, 13829, 593, 16865, 3282, 563, 1607, 16866, 14318, 540, 513, 24232, 1379, 2030, 689, 519, 772, 2529, 269, 4972, 540, 6052, 14550, 1455, 8017, 609, 2757, 1379, 19356, 908, 10473, 269, 2755, 972, 616, 1082, 2010, 540, 24232, 1379, 2371, 267, 713, 14318, 2982, 513, 13598, 2030, 563, 1607, 7317, 14839, 2813, 676, 21598, 3633, 630, 10403, 6052, 4578, 1070, 10525, 1648, 3761, 630, 2421, 2707, 264, 543, 3747, 630, 2421, 946, 264, 585, 1142, 1533, 538, 519, 2475, 689, 476, 3422, 271, 547, 476, 1001, 271, 282, 23004, 998, 476, 10711, 276, 616, 2139, 607, 1134, 563, 15709, 3633, 568, 606, 1930, 3760, 547, 948, 1533, 543, 2199, 6608, 267, 1648, 24990, 543, 3609, 24237, 267, 4357, 2872, 267, 543, 1866, 547, 3927, 14650, 267, 5659, 543, 5635, 1648, 14025, 1239, 547, 1118, 1732, 1648, 3664, 543, 4264, 2994, 563, 1607, 3381, 14550, 519, 5383, 540, 29762, 13947, 607, 513, 7791, 267, 3327, 16250, 23018, 1648, 2707, 269, 8381, 344, 13947, 568, 896, 583, 28895, 543, 1419, 15763, 607, 513, 7791, 4492, 267, 543, 621, 666, 581, 19122, 30396, 543, 14616, 2973, 569, 563, 1607, 568, 513, 3126, 540, 476, 1015, 2110, 7044, 267, 18799, 676, 2817, 3163, 7690, 267, 1142, 10023, 3744, 267, 1382, 267, 543, 3039, 4066, 269, 634, 2949, 3804, 540, 713, 3126, 568, 547, 5000, 1004, 547, 2307, 2055, 543, 1413, 3564, 8093, 10173, 585, 5499, 3435, 547, 938, 2479, 21212, 1648, 2115, 563, 1607, 18044, 14318, 6257, 875, 10316, 3887, 10431, 6472, 630, 4047, 26394, 264, 9192, 519, 2640, 540, 17405, 9817, 543, 3167, 16546, 543, 666, 581, 27358, 547, 3489, 1114, 6859, 267, 971, 607, 4824, 4492, 4346, 267, 2799, 1379, 267, 610, 3606, 25581, 1379, 585, 5907, 3457, 543, 1379, 2645, 269, 0, 12709, 3436, 5240, 3436, 15089, 582, 4209, 20653, 23145, 454, 20826, 476, 1321, 628, 267, 476, 1220, 274, 454, 13825, 1456, 1079, 610, 811, 6289, 5255, 2354, 267, 971, 607, 24519, 3887, 937, 4435, 22817, 1949, 630, 301, 32209, 1070, 666, 581, 2944, 676, 13841, 610, 1350, 5224, 610, 609, 6263, 10808, 543, 31211, 269, 1809, 1018, 952, 596, 1223, 9900, 1175, 3728, 523, 873, 519, 1259, 17234, 616, 3728, 2989, 267, 609, 6063, 23145, 286, 1230, 14846, 6063, 23145, 3728, 2287, 1568, 676, 30010, 835, 15429, 540, 6515, 8397, 554, 10541, 1486, 21310, 1734, 609, 513, 15429, 540, 8520, 539, 1486, 21310, 1734, 269, 769, 519, 18784, 4528, 267, 1312, 15649, 1131, 1490, 16824, 609, 3327, 31407, 25683, 267, 6738, 20005, 4849, 585, 513, 13622, 593, 519, 1283, 1439, 269, 6424, 8751, 2033, 330, 543, 1010, 9164, 616, 4974, 875, 547, 1118, 24519, 268, 767, 23145, 960, 563, 2419, 668, 1756, 31588, 1229, 20676, 641, 541, 777, 1156, 22005, 681, 902, 607, 1715, 13088, 585, 10435, 23398, 1242, 15089, 665, 16808, 976, 5988, 476, 2190, 628, 267, 476, 1001, 276, 454, 19465, 20688, 13402, 5027, 31407, 25683, 1900, 676, 1900, 281, 1715, 267, 3625, 8386, 1532, 6674, 10198, 1505, 1223, 17362, 1259, 585, 3156, 538, 1904, 334, 3887, 937, 16361, 267, 3075, 6765, 5988, 476, 2537, 6113, 267, 476, 1001, 276, 454, 295, 2788, 21384, 585, 7636, 11387, 281, 4856, 2335, 592, 2940, 2982, 9621, 5907, 3601, 5988, 476, 1704, 628, 267, 476, 1001, 276, 454, 21026, 26156, 15089, 27370, 3098, 16628, 25272, 14880, 2561, 31212, 547, 519, 8274, 540, 10500, 8270, 919, 540, 19676, 2160, 12333, 3163, 9457, 6403, 338, 5358, 5988, 476, 1724, 628, 267, 476, 1001, 276, 0, 13233, 23941, 540, 2657, 630, 25712, 295, 264, 3744, 723, 4857, 513, 9621, 1291, 585, 3384, 513, 1007, 1826, 540, 3075, 547, 1521, 3968, 3361, 676, 853, 20942, 19905, 28857, 267, 513, 24059, 602, 4749, 759, 1235, 2757, 11216, 269, 634, 3173, 4362, 513, 1062, 1031, 676, 590, 269, 28857, 547, 3560, 13802, 602, 616, 2219, 547, 3565, 547, 4049, 588, 7469, 5563, 269, 1452, 13802, 1765, 21406, 4307, 565, 30320, 1110, 592, 1231, 630, 4916, 16039, 28931, 17647, 6591, 1454, 3007, 538, 2487, 1296, 267, 855, 741, 21318, 543, 4763, 723, 12042, 1229, 3646, 547, 3077, 873, 585, 3075, 1646, 563, 22091, 21505, 593, 960, 602, 1101, 4330, 590, 269, 28857, 13662, 16039, 538, 476, 1220, 278, 267, 3744, 693, 519, 22078, 295, 781, 2817, 4659, 540, 30665, 543, 29956, 15302, 1336, 602, 519, 3560, 1062, 267, 799, 789, 1289, 623, 31198, 267, 568, 1455, 547, 782, 590, 269, 28857, 13662, 16039, 543, 2565, 585, 9190, 18735, 543, 2068, 1646, 538, 513, 10856, 2203, 269, 4256, 6901, 2303, 602, 513, 3075, 7679, 1359, 609, 623, 31198, 781, 1599, 1223, 711, 1152, 2061, 2504, 540, 519, 13662, 300, 13802, 267, 855, 849, 2047, 1291, 547, 9190, 2669, 563, 7212, 741, 1353, 5059, 593, 590, 269, 28857, 267, 519, 3744, 14353, 602, 623, 31198, 15824, 519, 1482, 1909, 538, 824, 588, 20942, 25497, 857, 267, 971, 607, 590, 269, 28603, 573, 529, 267, 519, 3056, 2014, 540, 6413, 23938, 5563, 5473, 967, 16946, 2564, 3457, 971, 607, 25108, 1562, 267, 10605, 16234, 543, 14382, 12060, 269, 1358, 1544, 547, 3136, 741, 2090, 547, 2087, 519, 1620, 540, 875, 13662, 16039, 1599, 543, 547, 1451, 875, 547, 15936, 609, 519, 623, 31198, 3560, 1062, 547, 3625, 2068, 563, 306, 932, 2660, 329, 2465, 1696, 620, 269, 12708 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 22117, 619, 3180, 513, 2629, 1909, 538, 14637, 7104, 3206, 607, 513, 4199, 269, 8409, 19825, 519, 1871, 540, 1995, 543, 1702, 538, 1142, 2319, 4759, 6536, 513, 2922, 2230, 585, 27300, 2093, 269, 1358, 1294, 519, 5348, 1458, 689, 5916, 2200, 607, 3407, 3403, 4724, 1732, 267, 1134, 26455, 267, 543, 8537, 3664, 563, 290, 1042, 2225, 543, 1946, 621, 6927, 454, 25444, 8188, 1272, 2591, 267, 543, 7231, 609, 873, 267, 543, 5275, 1489, 689, 513, 3318, 267, 2901, 585, 2123, 1646, 610, 5626, 6351, 267, 568, 1582, 13282, 269, 1677, 1900, 856, 540, 606, 13943, 3510, 267, 547, 1174, 602, 621, 779, 15502, 711, 547, 1745, 15502, 269, 1703, 616, 3435, 543, 1489, 856, 972, 563, 763, 4528, 540, 968, 296, 1590, 892, 602, 4016, 547, 13190, 568, 17271, 543, 4564, 1945, 6209, 585, 721, 269, 898, 9356, 938, 5191, 540, 3903, 543, 519, 1379, 540, 8990, 267, 11461, 676, 938, 4835, 1242, 2418, 563, 2791, 666, 723, 782, 519, 1702, 538, 519, 1158, 267, 855, 621, 949, 711, 581, 2614, 952, 1004, 798, 711, 3494, 538, 707, 3664, 269, 1677, 2744, 3972, 602, 596, 616, 513, 19579, 1268, 2115, 942, 269, 5384, 547, 1628, 17258, 563, 2252, 1004, 3972, 707, 3664, 267, 596, 666, 581, 606, 31369, 6205, 269, 2659, 3318, 2990, 568, 606, 5007, 2707, 540, 1379, 269, 28946, 2225, 568, 6418, 1379, 543, 4199, 563, 10144, 693, 960, 786, 4440, 2285, 741, 5934, 952, 519, 1604, 568, 711, 11121, 269, 1717, 267, 952, 789, 1294, 519, 3483, 538, 741, 3527, 543, 616, 6273, 267, 789, 786, 3565, 1454, 811, 269, 634, 6205, 2306, 519, 3017, 1063, 741, 5934, 543, 5021, 563, 763, 1898, 5718, 1983, 616, 912, 268, 28946, 2225, 1107, 547, 1118, 22973, 543, 8537, 3664, 563, 268, 16508, 11106, 1107, 547, 581, 2111, 547, 1628, 3407, 4296, 563, 268, 13229, 2792, 1107, 547, 5968, 519, 6835, 609, 9355, 543, 3483, 563, 268, 4077, 1143, 320, 1107, 547, 581, 1871, 9141, 543, 2111, 547, 6655, 2495, 543, 4664, 563, 1692, 1223, 596, 1628, 17258, 888, 290, 1042, 2225, 1797, 22973, 3664, 269, 898, 3085, 1406, 1611, 3501, 3664, 610, 1152, 3664, 602, 1291, 547, 1967, 269, 28946, 1043, 3664, 616, 950, 519, 5520, 610, 2818, 540, 2486, 616, 18617, 602, 789, 616, 1759, 593, 1995, 267, 1702, 267, 538, 1816, 4369, 267, 2016, 5013, 267, 2139, 1344, 267, 543, 3743, 2623, 563, 2252, 519, 1686, 540, 3401, 685, 3664, 2982, 791, 6160, 4369, 610, 3352, 22529, 1043, 2623, 1510, 4397, 4093, 267, 8458, 616, 7864, 602, 1004, 786, 1745, 6899, 3972, 532, 3401, 685, 3664, 538, 519, 2104, 269, 4746, 267, 952, 519, 6205, 1281, 711, 1397, 519, 10100, 547, 1118, 513, 3375, 543, 1491, 5539, 585, 519, 6364, 267, 972, 616, 849, 7864, 8458, 602, 789, 786, 1628, 6392, 563, 13356, 1707, 6194, 568, 711, 513, 2979, 5106, 269, 1284, 1419, 1810, 1406, 917, 519, 6364, 269, 1717, 267, 519, 1739, 2243, 1223, 948, 3401, 1628, 741, 1582, 21873, 1107, 568, 519, 3375, 1500, 1759, 2390, 2016, 5013, 543, 782, 2139, 1344, 547, 3035, 10721, 5301, 543, 547, 9585, 519, 4690, 540, 2319, 2818, 888, 288, 1713, 3773, 1871, 1131, 581, 19969, 543, 13597, 269, 0, 26607, 11888, 4873, 476, 2764, 267, 476, 1015, 281, 1789, 600, 454, 4462, 548, 4770, 519, 18903, 543, 2904, 1335, 540, 9198, 894, 3642, 538, 4065, 454, 17653, 894, 3642, 6585, 10373, 1761, 543, 12178, 547, 2981, 2069, 267, 4838, 2358, 519, 1259, 649, 13599, 267, 1451, 543, 4497, 609, 1702, 269, 1548, 1983, 786, 581, 4397, 689, 7855, 543, 1053, 538, 519, 2104, 286, 1215, 666, 30462, 3642, 581, 1031, 21176, 676, 7855, 543, 1053, 286, 634, 6881, 786, 13686, 1483, 3734, 2833, 543, 1806, 547, 2626, 891, 2055, 267, 2921, 883, 2272, 519, 7760, 538, 2029, 543, 519, 1909, 540, 3642, 269, 898, 786, 849, 2232, 7881, 543, 3354, 2152, 585, 10128, 891, 2645, 883, 513, 1565, 1604, 563, 7804, 269, 667, 10005, 1656, 821, 31822, 10972, 18372, 3583, 264, 568, 519, 10615, 540, 519, 552, 13981, 4741, 540, 2717, 924, 18255, 3821, 2160, 540, 7033, 529, 334, 4673, 267, 27597, 267, 3743, 585, 4058, 543, 7598, 3059, 2069, 543, 12314, 7548, 538, 19180, 267, 7317, 543, 1357, 4066, 269, 4595, 476, 1960, 279, 267, 1352, 11414, 1576, 13838, 538, 9945, 689, 5177, 267, 5333, 267, 7330, 267, 18940, 267, 7977, 267, 10255, 269, 2701, 814, 3573, 1382, 1995, 609, 7920, 8313, 630, 1478, 476, 1704, 2835, 267, 476, 1911, 1382, 4574, 267, 476, 1556, 7454, 1957, 22952, 267, 2689, 518, 693, 476, 277, 2101, 13746, 543, 1896, 824, 12326, 267, 12314, 9375, 693, 20959, 3690, 13905, 593, 4065, 267, 1071, 7302, 1515, 20959, 15096, 3201, 307, 1775, 15411, 9596, 264, 543, 811, 982, 476, 1789, 1382, 543, 3872, 3486, 3785, 269, 3220, 269, 1656, 821, 568, 11581, 2894, 18947, 29533, 267, 20959, 4065, 5980, 476, 1708, 272, 31692, 1639, 3848, 15557, 13815, 16771, 267, 11581, 2894, 21470, 6261, 637, 1211, 585, 9442, 543, 18877, 630, 1001, 279, 268, 1708, 272, 1070, 543, 4759, 538, 20959, 4065, 5980, 8274, 540, 5041, 832, 630, 1708, 272, 1790, 6974, 1070, 538, 20959, 27597, 8791, 519, 12409, 2238, 17348, 630, 1001, 280, 1790, 6974, 264, 543, 538, 9167, 288, 7913, 26306, 6008, 1359, 9730, 269, 2701, 849, 6411, 538, 519, 8274, 540, 4936, 1014, 27013, 630, 303, 550, 745, 966, 16211, 7690, 1070, 538, 7033, 529, 334, 4673, 476, 1708, 274, 3864, 13317, 540, 9177, 17130, 10414, 543, 538, 824, 17319, 14540, 630, 305, 582, 776, 4139, 1040, 2701, 568, 13730, 827, 519, 24819, 1569, 547, 4066, 543, 875, 789, 666, 581, 1031, 547, 2087, 1004, 779, 1272, 267, 1352, 8362, 7028, 519, 946, 540, 744, 2207, 338, 267, 17834, 31237, 543, 519, 1930, 2069, 3741, 267, 3384, 1133, 328, 290, 25283, 4318, 340, 585, 2866, 585, 3059, 1983, 267, 855, 849, 519, 2199, 1376, 5346, 3350, 267, 2021, 538, 10509, 267, 543, 519, 3059, 2528, 269, 2701, 15748, 1896, 3785, 585, 13321, 2950, 267, 568, 14376, 607, 10584, 693, 19014, 543, 538, 519, 2063, 476, 1839, 1296, 3238, 538, 519, 3059, 2069, 2146, 3350, 538, 27597, 267, 5063, 998, 519, 8625, 6732, 1357, 21577, 543, 519, 3059, 2528, 543, 6561, 609, 20128, 2775, 11595, 7033, 328, 388, 503, 334, 4673, 269, 4179, 2517, 324, 14048, 269, 340, 696, 269, 549, 270, 549, 7933, 10005, 7146, 821, 270, 0, 24202, 13446, 262, 6585, 1713, 1379, 538, 938, 6946, 3929, 1158, 267, 9117, 607, 513, 1883, 547, 544, 754, 8186, 543, 3347, 269, 15332, 8806, 16153, 1154, 513, 12161, 267, 621, 27711, 9758, 1121, 16017, 267, 11394, 19807, 267, 543, 26342, 2250, 267, 1459, 267, 543, 2104, 2078, 6384, 269, 634, 7145, 540, 606, 3284, 1108, 6013, 538, 922, 1079, 2609, 1107, 6284, 540, 519, 4636, 543, 9758, 1121, 16017, 267, 8108, 519, 4493, 585, 6568, 543, 4514, 1480, 4296, 563, 25721, 1108, 6530, 8761, 513, 2143, 4605, 269, 14755, 11589, 26845, 267, 606, 3284, 1108, 4570, 919, 519, 18579, 781, 4606, 543, 6786, 519, 23294, 6500, 781, 18515, 547, 26003, 1125, 267, 3056, 2509, 21047, 269, 1717, 267, 519, 1967, 540, 606, 3284, 1108, 849, 5673, 593, 519, 17513, 781, 7664, 267, 609, 25442, 3283, 1574, 532, 32659, 543, 10845, 267, 5807, 7067, 269, 7442, 3098, 666, 849, 4196, 607, 513, 9354, 1907, 267, 14123, 1582, 26190, 267, 16203, 8323, 267, 3929, 6043, 267, 543, 2123, 2208, 269, 4475, 267, 1412, 7717, 787, 262, 568, 811, 982, 513, 2262, 282, 621, 781, 513, 7347, 1907, 540, 6568, 267, 21047, 267, 3929, 7067, 267, 3972, 11808, 267, 543, 2790, 1072, 6454, 563, 17359, 2376, 1934, 281, 4179, 2517, 4364, 1756, 2593, 270, 287, 331, 9155, 3726, 15276, 9188, 330, 270, 1492, 268, 2863, 11474, 27703, 6361, 268, 777, 1108, 7308, 1606, 7220, 1532, 12317, 785, 1606, 13446, 7146, 268, 1080, 27780, 716, 6823, 268, 11365, 268, 8234, 268, 280, 8619, 277, 325, 276, 324, 277, 321, 5952, 272, 0, 23382, 1441, 29326, 24492, 338, 630, 5425, 302, 264, 1310, 5230, 11811, 666, 2014, 8650, 15723, 339, 687, 540, 15702, 5135, 630, 23077, 264, 538, 519, 12670, 5211, 1975, 872, 269, 4329, 24395, 566, 540, 8733, 22907, 666, 581, 4397, 689, 2518, 2916, 1689, 269, 589, 4058, 6293, 585, 11483, 302, 1764, 4879, 896, 1114, 29326, 2359, 543, 2916, 2175, 814, 1044, 2919, 693, 918, 558, 7065, 523, 3960, 550, 5300, 654, 817, 518, 12670, 269, 898, 15185, 519, 29326, 2203, 27084, 17582, 11483, 267, 519, 5757, 1216, 2298, 2203, 10281, 571, 343, 270, 304, 8245, 543, 606, 1764, 4879, 1907, 269, 634, 4058, 6293, 729, 24019, 585, 519, 1296, 476, 1001, 271, 543, 476, 1001, 272, 269, 29896, 2164, 585, 519, 2565, 6724, 11166, 543, 11298, 9830, 538, 519, 12670, 5211, 1975, 872, 3858, 1134, 609, 7403, 269, 4014, 711, 782, 4767, 11298, 22907, 666, 581, 20533, 8308, 267, 519, 1360, 1434, 6041, 540, 3157, 1644, 547, 519, 5135, 6578, 2636, 12570, 3448, 2242, 538, 10465, 2175, 267, 552, 3052, 269, 689, 2916, 1689, 610, 1114, 11483, 302, 1852, 2994, 269, 634, 5342, 9183, 2079, 6920, 602, 519, 13745, 29326, 268, 18182, 16347, 23465, 6213, 569, 547, 2242, 538, 10465, 2175, 630, 339, 17687, 267, 11811, 267, 4859, 4320, 543, 824, 11483, 302, 1852, 2994, 267, 3092, 12175, 9122, 593, 519, 11191, 1032, 476, 1220, 278, 1107, 8204, 606, 3665, 1032, 609, 14621, 547, 11483, 302, 4320, 543, 2565, 2175, 538, 519, 5757, 1107, 29326, 14317, 3800, 9709, 547, 581, 8045, 2394, 476, 1708, 271, 616, 10567, 547, 2569, 2698, 11483, 302, 12531, 676, 476, 1704, 260, 543, 26809, 12376, 656, 13907, 676, 476, 2641, 910, 476, 4029, 10065, 634, 4908, 540, 2565, 11298, 2175, 585, 519, 1034, 6213, 2199, 3165, 2249, 786, 6175, 676, 835, 3791, 269, 1280, 513, 2417, 6454, 540, 1216, 2298, 1310, 519, 1032, 476, 1708, 271, 267, 519, 5786, 540, 6650, 2365, 7252, 19674, 607, 513, 1360, 2500, 2359, 4640, 1141, 15164, 269, 589, 5786, 540, 519, 6650, 2365, 4448, 1858, 676, 476, 736, 260, 2164, 538, 513, 6175, 538, 519, 4908, 540, 2565, 11298, 2175, 676, 1776, 3791, 269, 634, 6594, 2333, 538, 2627, 2011, 543, 1216, 2837, 607, 851, 540, 519, 2916, 1689, 7653, 5012, 547, 513, 1713, 24395, 566, 540, 11298, 2566, 1813, 547, 4282, 5533, 538, 519, 12670, 5211, 1975, 872, 267, 1247, 8650, 11298, 15723, 339, 687, 1310, 11483, 302, 616, 18923, 4299, 269, 1717, 267, 2242, 538, 4764, 8515, 723, 513, 9645, 1198, 593, 11483, 302, 12531, 267, 12376, 656, 13907, 543, 519, 4908, 540, 2565, 11298, 9830, 269, 589, 2489, 5786, 540, 26809, 12376, 656, 13907, 676, 476, 2568, 260, 1759, 593, 519, 29326, 4567, 476, 1708, 271, 666, 2061, 2565, 11298, 2175, 538, 519, 12670, 5211, 1975, 872, 267, 1256, 585, 519, 24215, 4764, 7920, 1032, 476, 1220, 278, 269, 589, 2143, 2079, 540, 5757, 3157, 1310, 11483, 302, 267, 814, 3254, 602, 519, 7686, 18341, 566, 540, 5214, 3327, 7135, 568, 519, 1034, 1271, 23784, 547, 8650, 11298, 15723, 339, 687, 538, 519, 12670, 5211, 1975, 872, 269, 1323, 3606, 15717, 540, 11298, 2175, 568, 3361, 676, 519, 1102, 869, 540, 5135, 1863, 11483, 302, 21383, 1216, 543, 17735, 17571, 883, 519, 12670, 5211, 1975, 872, 269, 769, 713, 1867, 267, 11483, 302, 5222, 896, 1114, 2359, 2994, 610, 2916, 1689, 2175, 616, 12290, 1152, 585, 513, 851, 540, 519, 12670, 5916, 29326, 1062, 630, 24392, 519, 1292, 851, 264, 543, 585, 835, 32055, 1032, 269, 1323, 10137, 540, 519, 4058, 6293, 547, 519, 3003, 5916, 29326, 1062, 1131, 5512, 547, 6218, 519, 2407, 1764, 540, 3800, 269, 1280, 513, 7347, 12605, 540, 2104, 11483, 302, 5222, 621, 568, 849, 5227, 547, 1449, 1114, 11191, 5712, 610, 2932, 1279, 3856, 13502, 269, 0, 289, 16742, 547, 16641, 552, 1181, 640, 267, 519, 544, 9476, 1961, 636, 540, 7977, 779, 20096, 4622, 634, 18344, 545, 630, 3393, 275, 1700, 276, 2918, 595, 9950, 4700, 538, 24497, 28225, 267, 7977, 267, 20998, 1100, 824, 2679, 538, 519, 4936, 268, 3528, 345, 14932, 1158, 269, 4706, 476, 4968, 268, 2023, 8122, 1765, 8364, 1386, 689, 513, 2582, 28973, 540, 18899, 29170, 3072, 538, 2413, 23886, 807, 1765, 2108, 331, 4169, 892, 519, 3003, 2497, 538, 1747, 267, 1818, 621, 2352, 547, 4894, 1256, 513, 2582, 6149, 269, 4208, 1705, 634, 18344, 545, 979, 547 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11586, 292, 264, 543, 267, 4496, 268, 16955, 3114, 11517, 18254, 630, 19616, 4211, 13748, 264, 723, 1044, 6700, 538, 930, 2487, 7041, 5773, 269, 769, 519, 13506, 19068, 1505, 585, 1383, 267, 7086, 1756, 543, 28227, 616, 2322, 538, 21247, 10935, 543, 2554, 21724, 538, 513, 19460, 693, 476, 7785, 9180, 269, 2311, 713, 1448, 267, 28227, 568, 2019, 520, 1242, 543, 22851, 538, 513, 5114, 609, 7086, 1756, 269, 2991, 519, 12821, 2026, 568, 3812, 267, 621, 568, 15702, 538, 513, 7086, 1756, 3070, 538, 1931, 547, 6460, 782, 540, 519, 7086, 1756, 883, 7086, 1756, 19070, 728, 269, 13536, 519, 2837, 568, 24111, 547, 3914, 547, 476, 11277, 279, 9180, 585, 7086, 1756, 19070, 728, 547, 15835, 269, 2991, 519, 19460, 6238, 547, 3579, 1524, 7930, 267, 12821, 2026, 13737, 14848, 616, 4646, 269, 634, 13506, 19068, 1505, 568, 25368, 2094, 519, 4611, 7086, 1756, 19070, 728, 814, 513, 1164, 2298, 543, 1970, 8919, 476, 273, 269, 1703, 568, 1776, 4480, 1634, 607, 20710, 326, 2006, 21178, 1442, 321, 24147, 2944, 676, 12627, 2208, 538, 513, 8880, 7997, 19460, 1141, 28227, 543, 7086, 1756, 2746, 538, 519, 11517, 5123, 607, 519, 1863, 6675, 1799, 984, 559, 1125, 593, 519, 6079, 14848, 693, 519, 16830, 513, 851, 540, 519, 19460, 1141, 519, 2837, 568, 1970, 269, 769, 5277, 20206, 4327, 595, 345, 5255, 23552, 7288, 630, 28421, 264, 1505, 267, 3810, 6986, 14848, 616, 24704, 602, 4865, 513, 10859, 15564, 6819, 4162, 563, 21104, 725, 540, 11829, 1756, 1488, 11420, 728, 654, 2378, 619, 454, 763, 3601, 540, 7086, 1756, 19070, 728, 609, 922, 1883, 1909, 538, 5009, 519, 2298, 540, 5907, 3457, 814, 3366, 547, 513, 2603, 540, 3156, 538, 2257, 543, 2872, 6140, 1813, 547, 519, 7086, 1756, 19070, 728, 530, 2378, 619, 2539, 5706, 2032, 543, 2362, 15298, 10688, 269, 2353, 891, 8903, 4162, 543, 3601, 616, 2614, 18144, 585, 7086, 1756, 19070, 728, 530, 2378, 619, 547, 581, 4294, 538, 5547, 787, 1949, 540, 17196, 1448, 3562, 15304, 6402, 267, 15408, 267, 5100, 11436, 267, 2362, 4908, 2234, 1513, 543, 2792, 3457, 269, 3958, 267, 7086, 1756, 19070, 728, 530, 2378, 619, 723, 849, 1336, 3156, 538, 5663, 717, 18365, 1019, 3941, 585, 13590, 2234, 9911, 5108, 267, 2523, 538, 17196, 3148, 269, 3353, 1227, 267, 7086, 1756, 19070, 728, 814, 519, 3959, 540, 32749, 1769, 269, 28582, 2590, 547, 713, 267, 27178, 630, 6665, 1043, 1769, 32749, 1019, 3941, 264, 856, 540, 7086, 1756, 19070, 728, 723, 3156, 538, 3059, 10525, 540, 1753, 14233, 899, 14023, 2209, 267, 7641, 338, 267, 11067, 6191, 543, 8670, 13195, 1667, 607, 1134, 607, 23252, 543, 13964, 3915, 15236, 543, 865, 8521, 269, 634, 18342, 27178, 723, 3156, 538, 6552, 8060, 8666, 4172, 680, 619, 543, 12514, 609, 1313, 1993, 1371, 2298, 563, 12812, 12005, 547, 6258, 2859, 6168, 590, 2438, 13503, 528, 654, 2378, 619, 454, 763, 1769, 2707, 585, 9804, 10618, 3457, 267, 8955, 23252, 543, 9804, 28283, 616, 782, 9280, 609, 8955, 1019, 3941, 269, 4595, 519, 6475, 10688, 540, 538, 7086, 1756, 19070, 728, 568, 2947, 2053, 607, 1164, 607, 13339, 267, 519, 12821, 2026, 530, 2378, 619, 723, 3376, 3156, 607, 26828, 585, 7471, 6964, 538, 2706, 5904, 609, 1164, 11250, 269, 769, 865, 3257, 267, 2361, 1198, 27820, 630, 293, 4953, 338, 264, 723, 3156, 538, 7586, 13294, 609, 1360, 1970, 6846, 1031, 538, 14580, 2314, 267, 15408, 1463, 31076, 1062, 543, 5985, 11436, 269, 1548, 779, 811, 267, 7086, 1756, 19070, 728, 723, 13590, 5982, 3601, 607, 1134, 269, 4475, 543, 1759, 593, 713, 3959, 540, 12821, 2026, 267, 8065, 8596, 616, 6964, 538, 5179, 17568, 8596, 543, 23301, 7397, 269, 3204, 8973, 519, 8143, 6617, 543, 2584, 29090, 3601, 540, 7086, 1756, 19070, 728, 267, 12821, 2026, 2861, 3859, 2281, 723, 1336, 3096, 607, 18402, 609, 1279, 1272, 543, 2362, 31931, 6140, 1031, 538, 15408, 269, 7305, 476, 272, 26564, 519, 7086, 1756, 19070, 728, 530, 2378, 619, 3156, 476, 273, 563, 8368, 476, 272, 269, 11829, 1756, 1488, 11420, 728, 654, 2378, 619, 10241, 476, 273, 454, 347, 23409, 12998, 1475, 14106, 1043, 10896, 1475, 11514, 2452, 17689, 267, 9205, 4159, 267, 1795, 13678, 850, 3684, 267, 17002, 2008, 347, 14813, 14518, 10896, 1475, 7230, 1774, 17120, 267, 1313, 1993, 1371, 8254, 267, 8666, 2275, 537, 16980, 2008, 30054, 6471, 26534, 1475, 18893, 673, 12210, 543, 6775, 17689, 267, 8955, 17002, 267, 17568, 9300, 2008, 347, 11947, 18286, 10688, 1475, 18204, 3603, 5547, 1475, 21841, 30041, 18286, 2780, 2008, 347, 11947, 4908, 1475, 293, 1752, 13716, 27820, 1475, 31466, 992, 1511, 24582, 267, 15409, 15146, 267, 1463, 31076, 676, 9682, 2008, 347, 16978, 668, 24599, 1143, 1475, 295, 718, 8596, 1475, 305, 19318, 11281, 267, 5179, 1790, 3789, 532, 9300, 2008, 347, 21900, 29090, 2534, 1475, 23530, 2281, 1475, 25823, 22972, 11718, 2008, 294, 718, 1756, 19070, 728, 530, 2378, 619, 723, 7153, 607, 606, 1997, 908, 14041, 547, 11753, 15373, 832, 267, 9804, 543, 5907, 3457, 609, 7471, 11387, 2921, 519, 5383, 540, 741, 1463, 543, 6626, 6512, 326, 2355, 267, 2362, 15298, 10688, 543, 2539, 5706, 2032, 269, 0, 307, 10061, 2100, 3778, 269, 476, 6021, 269, 1321, 269, 6734, 269, 31595, 781, 13504, 11904, 902, 540, 519, 7599, 281, 519, 1101, 12382, 8084, 7422, 540, 513, 18477, 1843, 269, 769, 476, 8182, 280, 606, 7969, 21997, 543, 31485, 3957, 31595, 2968, 519, 1101, 1268, 547, 1448, 513, 16263, 6607, 1189, 269, 4014, 602, 16263, 729, 1507, 543, 519, 2592, 27967, 267, 31595, 729, 2111, 547, 1118, 856, 10239, 543, 1835, 11596, 593, 269, 1547, 1717, 267, 5491, 585, 519, 5137, 540, 1101, 835, 729, 2016, 547, 17713, 700, 26802, 30750, 267, 4436, 23899, 7828, 32291, 543, 4715, 12386, 20536, 945, 1101, 7307, 547, 2744, 513, 14664, 593, 513, 16263, 3926, 454, 269, 634, 1686, 540, 519, 16263, 269, 634, 16263, 568, 513, 2241, 3926, 5497, 547, 3986, 5075, 267, 1818, 11397, 1919, 2408, 6251, 269, 898, 568, 713, 602, 2306, 621, 865, 3730, 543, 11684, 585, 946, 593, 2244, 543, 693, 4262, 476, 9340, 22370, 8554, 676, 476, 3583, 631, 5474, 538, 476, 279, 18831, 1282, 476, 276, 2578, 3753, 269, 8080, 547, 16423, 22370, 8554, 267, 513, 4015, 540, 3140, 24985, 269, 1411, 616, 14376, 547, 588, 2651, 16837, 569, 998, 713, 5691, 9754, 540, 3140, 24985, 269, 898, 568, 12479, 602, 538, 865, 3257, 267, 596, 786, 6095, 1676, 930, 540, 519, 18399, 267, 1256, 10761, 267, 713, 21689, 270, 6135, 648, 337, 1185, 538, 519, 269, 634, 16263, 607, 649, 917, 621, 2221, 814, 8854, 998, 1896, 1713, 19325, 2094, 621, 729, 1101, 31601, 1259, 1394, 538, 476, 8182, 279, 269, 898, 568, 849, 835, 540, 938, 1034, 1271, 3621, 18563, 585, 3695, 938, 15270, 269, 769, 713, 2376, 267, 649, 786, 3460, 998, 519, 1686, 540, 519, 16263, 15415, 267, 609, 8037, 19528, 689, 17713, 700, 26802, 30750, 11783, 634, 1686, 540, 519, 16263, 568, 513, 1279, 543, 1360, 4277, 835, 269, 1635, 18332, 5062, 293, 5417, 523, 269, 5463, 476, 5881, 267, 476, 1708, 271, 1547, 476, 272, 267, 476, 273, 269, 634, 16263, 814, 22734, 606, 11999, 7004, 2094, 621, 729, 1101, 31601, 538, 563, 763, 9998, 24985, 941, 18195, 532, 24985, 267, 799, 7500, 609, 1079, 4837, 14485, 281, 606, 2363, 788, 19991, 543, 606, 6662, 7828, 547, 1445, 1769, 543, 3172, 1518, 519, 2070, 269, 7338, 4498, 686, 582, 945, 1185, 5892, 6170, 942, 538, 519, 10162, 534, 5803, 11175, 538, 1018, 568, 1631, 3345, 10491, 267, 1500, 519, 1101, 12400, 540, 519, 7599, 1210, 513, 16263, 538, 476, 8182, 280, 634, 19866, 18412, 23571, 25076, 729, 8385, 3710, 593, 519, 3135, 1141, 519, 674, 690, 2401, 7732, 4867, 29084, 269, 898, 729, 6410, 547, 922, 1699, 4087, 538, 519, 4832, 540, 476, 4350, 274, 267, 1985, 547, 519, 17341, 5742, 269, 3487, 569, 1317, 540, 922, 4087, 593, 519, 772, 300, 12578, 13464, 267, 519, 2616, 2218, 1419, 13341, 8654, 2042, 282, 519, 2160, 13333, 6360, 8279, 693, 3781, 2059, 1496, 22370, 641, 24140, 1201, 2350, 388, 505, 773, 269, 22370, 641, 592, 630, 19734, 6067, 659, 26324, 281, 7658, 815, 8977, 324, 267, 1236, 2100, 514, 815, 513, 524, 2075, 9508, 267, 513, 981, 2088, 264, 1609, 324, 796, 6293, 1416, 1071, 937, 324, 1794, 26324, 561, 29837, 632, 3288, 796, 1073, 328, 624, 3331, 362, 526, 788, 26324, 4135, 520, 267, 694, 3492, 516, 1794, 26324, 3331, 362, 660, 337, 10595, 14047, 630, 11133, 527, 535, 665, 541, 1070, 476, 388, 503, 328, 3132, 522, 4952, 544, 26324, 761, 26324, 269, 1546, 388, 503, 328, 694, 2512, 26324, 24140, 2165, 523, 592, 12382, 641, 267, 632, 1073, 823, 328, 267, 12382, 641, 592, 23726, 267, 1416, 1566, 699, 1794, 26324, 3331, 362, 333, 269, 589, 1686, 540, 24985, 282, 589, 1686, 540, 24985, 269, 1215, 1705, 24985, 2097, 883, 1445, 269, 476, 5400, 5181, 476, 1708, 271, 269, 19877, 609, 1547, 9400, 14480, 333, 267, 3163, 7467, 5507, 269, 3487, 540, 519, 1397, 22370, 8554, 3414, 5384, 269, 570, 5085, 18739, 14154, 269, 15894, 281, 772, 21119, 1924, 828, 6951, 267, 3842, 24296, 680, 1662, 269, 7591, 8281, 269, 9523, 454, 763, 3657, 322, 756, 334, 23571, 729, 513, 476, 25134, 544, 630, 272, 267, 1822, 10264, 264, 20085, 2992, 528, 5925, 16263, 3710, 883, 513, 2067, 16173, 23346, 693, 519, 3657, 322, 756, 334, 25076, 4092, 2282, 3657, 322, 756, 334, 267, 17896, 22656, 6993, 10814, 2173, 870, 27464, 762, 17513, 543, 1896, 16986, 10141, 1562, 585, 32749, 6786, 941, 15841, 476, 5611, 544, 630, 5392, 273, 10264, 264, 1657, 519, 8670, 269, 4467, 921, 1540, 538, 5437, 476, 3422, 274, 267, 519, 3657, 322, 756, 334, 23571, 729, 519, 1158, 781, 4102, 2582, 268, 1653, 339, 675, 269, 1280, 811, 982, 476, 1428, 1296, 267, 519, 26931, 6611, 23571, 814, 1044, 3246, 3744, 543, 519, 1857, 609, 20498, 2592, 540, 2620, 2230, 269, 2290, 540, 519, 1034, 1099, 10999, 4359, 4773, 540, 3937, 602, 3425, 723, 2322, 883, 10739, 267, 26931, 814, 5280, 3173, 1118, 1271, 8906, 827, 938, 7122, 267, 8151, 689, 10785, 543, 6801, 547, 15270, 543, 14421, 1108, 589, 16684, 3778, 540, 22370, 8554, 568, 513, 6456, 9740, 602, 3340, 519, 6345, 547, 3605, 519, 4773, 540, 513, 4583, 10839, 540, 15537, 8316, 6362, 676, 6313, 2185, 1114, 24985, 1472, 717, 1408, 514, 528, 269, 4014, 519, 1931, 585, 519, 9740, 568, 13061, 267, 519, 10839, 4607, 568, 519, 5311, 540, 6313, 281, 6989, 540, 519, 25076, 267, 5087, 540, 16836, 12668, 454, 12648, 1852, 540, 707, 16263, 256, 8281, 519, 22966, 652, 1258, 623, 310, 296, 23571, 6513, 12229, 269, 21708, 21545, 531, 2561, 269, 22966, 652, 1258, 781, 17676, 4541, 10740, 813, 568, 606, 17651, 24194, 602, 28196, 1149, 875, 596, 1995, 519, 3781, 6607, 269, 4635, 23571, 29431, 788, 773, 806, 269, 2659, 2363, 788, 773, 806, 616, 519, 1101, 17960, 596, 1058, 1451, 547, 946, 609, 707, 16263, 269, 3367, 938, 3391, 23571, 267, 3926, 1031, 547, 1106, 3172, 1881, 2592, 540, 11397, 3615, 269, 634, 16263, 568, 17216, 519, 1034, 1271, 3329, 894, 1907, 538, 17651, 269, 898, 2488, 513, 1797, 540, 10655, 543, 7421, 5982, 689, 18477, 3615, 267, 1256, 1346, 538, 519, 2484, 10301, 540, 519, 7122, 634, 1034, 1271, 24985, 538, 1686, 269, 476, 1839, 5988, 476, 1220, 280, 769, 11812, 540, 519, 4139, 5729, 540, 18395, 538, 476, 1220, 280, 267, 1715, 26831, 3217, 596, 593, 606, 6186, 24316, 4663, 540, 930, 540, 519, 563, 3080, 568, 634, 3778, 540, 519, 23571, 267, 2854, 676, 8361, 3751, 543, 3370, 676, 667, 1478, 7734, 269, 901, 1433, 568, 513, 1434, 1376, 547, 1451, 827, 1686, 267, 855, 519, 1686, 538, 519, 1433, 1281, 1439, 1472, 476, 4198, 271, 269, 1677, 7110, 667, 1478, 781, 1433, 267, 2983, 4752, 1656, 619, 523, 3947, 513, 1434, 2272, 540, 519, 16263, 538, 634, 23571, 281, 4706, 3778, 267, 5303, 267, 543, 8892, 630, 32459, 17662, 269, 476, 5655, 7629, 636, 3215, 23571, 12700, 269, 1635, 10127, 514, 2274, 18255, 731, 339, 267, 18947, 27752, 269, 15618, 4728, 476, 2767, 267, 476, 1001, 278, 269, 22370, 8554, 711, 1152, 948, 3172, 1518, 2484, 268, 12537, 3615, 855, 789, 849, 1450, 3425, 547, 1294, 2694, 540, 519, 1769, 8552, 3564, 7298, 1769, 267, 1519 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 610, 3842, 552, 17733, 693, 1496, 16942, 6870, 316, 0, 2467, 568, 930, 10539, 827, 1018, 11225, 513, 20538, 7504, 543, 849, 1018, 454, 3698, 1149, 513, 20538, 7504, 9742, 269, 20226, 786, 2995, 596, 602, 538, 1931, 547, 581, 454, 5035, 1881, 607, 513, 968, 2381, 328, 1155, 892, 7504, 891, 20036, 2370, 2831, 991, 547, 581, 1100, 26339, 454, 22474, 476, 1691, 269, 273, 327, 1343, 630, 15704, 4699, 610, 476, 6812, 6279, 264, 689, 2212, 547, 3723, 563, 763, 1614, 1292, 14981, 602, 666, 581, 1362, 539, 607, 20538, 9640, 616, 519, 454, 13563, 543, 519, 3703, 22387, 1155, 21696, 543, 519, 3810, 2442, 14861, 710, 534, 454, 293, 531, 629, 7578, 269, 1452, 1614, 14981, 782, 7703, 519, 4162, 540, 513, 2407, 21092, 454, 1817, 572, 269, 634, 1152, 3017, 568, 602, 789, 616, 896, 476, 6812, 514, 2583, 538, 4463, 563, 3080, 3364, 568, 585, 2386, 568, 602, 519, 20538, 7504, 568, 711, 519, 1267, 540, 930, 454, 845, 540, 4719, 29840, 855, 3079, 941, 26870, 585, 513, 1808, 1599, 267, 543, 454, 2254, 607, 513, 1397, 7504, 610, 513, 7279, 269, 634, 3312, 20538, 533, 23888, 941, 960, 454, 4243, 525, 538, 782, 2631, 540, 519, 2262, 269, 1452, 941, 2701, 339, 1633, 267, 667, 691, 332, 3233, 610, 21730, 533, 23888, 2676, 21710, 689, 519, 3312, 6477, 3240, 7504, 9742, 267, 799, 941, 2919, 547, 688, 592, 7047, 338, 454, 8364, 11538, 24435, 267, 5755, 610, 547, 688, 592, 513, 726, 578, 538, 519, 4610, 563, 4415, 519, 4417, 540, 12957, 1472, 15823, 610, 865, 1296, 3516, 267, 9742, 619, 3459, 547, 454, 23024, 2939, 609, 9960, 891, 20538, 12490, 811, 607, 513, 1397, 7504, 267, 609, 519, 454, 288, 4599, 588, 718, 542, 1373, 1031, 547, 3132, 12490, 602, 941, 811, 29765, 543, 941, 454, 514, 1249, 20538, 9640, 269, 2368, 540, 519, 20923, 1806, 540, 20538, 9640, 616, 454, 29006, 4163, 519, 8984, 5920, 540, 513, 9910, 6259, 588, 718, 542, 2676, 1492, 2063, 2540, 267, 543, 2523, 689, 519, 4571, 6957, 2906, 593, 1189, 267, 1896, 1007, 14981, 454, 17647, 1044, 2919, 269, 2290, 540, 519, 1034, 7986, 568, 519, 27725, 2284, 623, 3415, 269, 634, 27725, 2284, 454, 303, 3415, 729, 2919, 676, 9960, 513, 11360, 2284, 588, 718, 542, 609, 21730, 20538, 533, 23888, 563, 763, 20538, 27725, 2284, 533, 23888, 941, 1851, 519, 1101, 547, 2253, 547, 3035, 519, 454, 1952, 30970, 543, 4162, 540, 513, 26987, 1524, 4528, 540, 519, 27725, 2284, 21696, 563, 295, 871, 2284, 9910, 2137, 616, 24886, 547, 519, 3750, 267, 543, 666, 3109, 267, 6960, 610, 9221, 18133, 538, 454, 10233, 267, 1247, 1419, 12946, 3043, 24795, 593, 741, 2212, 543, 9221, 563, 763, 533, 3415, 540, 519, 17113, 9742, 9583, 32338, 730, 607, 519, 1267, 540, 606, 454, 3147, 1211, 531, 3444, 1063, 513, 2701, 339, 1633, 533, 3415, 543, 606, 2561, 14900, 6242, 269, 2561, 14900, 657, 553, 616, 1634, 454, 1721, 741, 10058, 682, 16985, 19481, 10359, 2681, 607, 1134, 607, 824, 10058, 454, 874, 9713, 4162, 269, 26499, 814, 621, 602, 519, 2561, 14900, 6242, 9742, 729, 2919, 454, 2421, 13896, 2713, 2673, 547, 519, 6022, 1787, 5211, 267, 543, 519, 2012, 2919, 689, 454, 303, 23888, 540, 3013, 723, 513, 1360, 7168, 2212, 609, 1804, 543, 22192, 4064, 267, 543, 454, 320, 3068, 602, 568, 1360, 24188, 540, 602, 540, 606, 26768, 7504, 269, 1358, 616, 4583, 585, 454, 26132, 1360, 1256, 29525, 543, 513, 2462, 5172, 1851, 20538, 7504, 9742, 619, 454, 663, 5411, 7567, 269, 7324, 519, 1655, 1634, 540, 519, 20538, 7504, 14981, 568, 519, 454, 293, 531, 629, 7578, 799, 12090, 538, 18335, 538, 519, 3735, 13524, 2540, 269, 898, 729, 454, 16467, 539, 676, 606, 1163, 27074, 622, 2296, 2006, 945, 4603, 539, 609, 1585, 21221, 533, 3415, 454, 3691, 2644, 543, 9488, 321, 1042, 338, 602, 941, 4130, 982, 3328, 269, 634, 2012, 24415, 629, 7578, 568, 454, 5228, 20844, 24415, 629, 7578, 267, 945, 729, 3743, 585, 2417, 543, 3803, 1646, 540, 454, 1492, 9742, 269, 7316, 519, 2561, 14900, 657, 553, 1796, 856, 568, 972, 4463, 267, 25864, 8757, 811, 454, 22474, 476, 4343, 6279, 269, 1879, 789, 616, 1101, 4535, 789, 666, 581, 607, 2370, 607, 5216, 6279, 454, 514, 4463, 269, 1323, 3328, 24415, 629, 7578, 20538, 7504, 786, 581, 3362, 8036, 607, 789, 454, 732, 3810, 10995, 607, 1134, 607, 1373, 11235, 547, 5225, 741, 5411, 14121, 1778, 619, 563, 2026, 789, 616, 1312, 1507, 543, 2178, 267, 789, 666, 581, 6026, 547, 5397, 7047, 338, 693, 2982, 2676, 553, 1134, 607, 547, 581, 678, 5200, 676, 1453, 269, 4014, 972, 616, 1082, 1016, 14981, 540, 454, 2381, 328, 1155, 9640, 267, 519, 27725, 2284, 623, 3415, 267, 24415, 629, 7578, 543, 1977, 623, 3415, 616, 676, 2484, 543, 454, 12537, 519, 1655, 1634, 269, 0, 30560, 1097, 630, 29557, 2296, 267, 689, 17454, 6363, 3402, 5789, 857, 267, 689, 19744, 5824, 5789, 1027, 19985, 5789, 806, 267, 689, 5824, 267, 834, 23748, 6976, 267, 13848, 2580, 689, 24271, 19985, 5789, 3495, 834, 1067, 577, 663, 1047, 8442, 568, 513, 3376, 2165, 602, 4016, 547, 1649, 5271, 565, 775, 267, 19807, 543, 11587, 538, 513, 3099, 540, 5683, 267, 3909, 267, 1514, 543, 3656, 8658, 563, 763, 1523, 540, 513, 834, 300, 2075, 3814, 2696, 257, 5526, 538, 1585, 10764, 267, 1519, 8567, 543, 5771, 269, 27400, 6411, 540, 23502, 607, 513, 5057, 540, 3909, 4978, 568, 849, 15091, 998, 3527, 971, 607, 519, 4758, 540, 620, 916, 267, 543, 1416, 585, 519, 7210, 543, 3718, 540, 8585, 1097, 563, 1103, 519, 1514, 543, 3656, 2796, 267, 23502, 949, 3277, 1312, 547, 17519, 2623, 593, 519, 851, 540, 1346, 538, 1379, 630, 324, 3052, 269, 23502, 3254, 676, 513, 9794, 4724, 513, 20903, 1070, 610, 593, 519, 851, 540, 513, 19493, 3791, 5428, 267, 552, 3052, 1421, 513, 5692, 540, 23502, 17935, 547, 1521, 2112, 9601, 563, 8448, 4930, 1644, 547, 834, 1067, 1097, 13426, 1862, 4595, 1010, 24235, 538, 476, 1960, 272, 267, 1896, 23502, 4620, 1431, 1185, 1044, 19429, 676, 7203, 629, 329, 527, 781, 17864, 3267, 7183, 540, 519, 23502, 4620, 1431, 1185, 1044, 11292, 4429, 1862, 1261, 5012, 519, 5600, 540, 8585, 1097, 17020, 799, 4249, 12353, 538, 5939, 3267, 834, 31359, 540, 8585, 1097, 3465, 757, 257, 568, 18596, 1397, 593, 10732, 1256, 902, 693, 519, 5695, 325, 11833, 538, 853, 3267, 6754, 267, 799, 2934, 519, 5600, 540, 8585, 1097, 17020, 543, 1866, 4429, 1862, 2398, 2946, 3200, 267, 3627, 5500, 8585, 1356, 264, 476, 23283, 834, 290, 2867, 781, 570, 2317, 257, 630, 10870, 1156, 264, 476, 25908, 834, 30560, 1097, 267, 8585, 1097, 267, 8585, 1097, 257, 630, 297, 4141, 2098, 1177, 514, 592, 264, 476, 18891, 834, 10267, 2131, 547, 4258, 2131, 257, 630, 296, 337, 1324, 12670, 264, 476, 20542, 4429, 1862, 8585, 1097, 15332, 645, 7451, 729, 8547, 538, 476, 1220, 279, 676, 590, 3563, 3057, 1176, 333, 700, 864, 344, 538, 3210, 547, 519, 2136, 8315, 685, 7085, 3317, 1756, 4886, 17644, 3267, 10361, 32483, 1229, 538, 13244, 27262, 267, 4993, 267, 8585, 1097, 15332, 645, 7451, 6402, 772, 2529, 3267, 8585, 1097, 15332, 645, 7451, 11438, 856, 922, 5692, 3842, 1079, 2994, 2290, 7043, 2165, 1689, 676, 5009, 519, 2069, 540, 2021, 543, 6690, 4429, 1862, 769, 10552, 21940, 649, 1451, 602, 8585, 1097, 568, 10169, 11259, 547, 930, 4012, 923, 971, 607, 30632, 790, 735, 13955, 610, 941, 342, 6504, 3640, 1852, 3267, 1864, 547, 798, 1919, 646, 9327, 1406, 3921, 27274, 798, 543, 602, 8585, 1097, 568, 23248, 4761, 543, 786, 581, 2111, 547, 1867, 1394, 547, 1010, 694, 9220, 1058, 4376, 4755, 547, 3267, 2986, 1576, 267, 1919, 979, 21354, 543, 4166, 8585, 1097, 568, 20386, 909, 538, 513, 6968, 585, 513, 30632, 790, 4882, 13396, 17243, 945, 568, 4929, 519, 10222, 20079, 1858, 547, 723, 606, 2799, 4473, 538, 5208, 267, 31362, 4429, 293, 13904, 10530, 5627, 519, 2262, 23502, 912, 2108, 2691, 4906, 649, 696, 267, 519, 9991, 15237, 454, 514, 23502, 2095, 539, 3564, 782, 3808, 3248, 15290, 4906, 9240, 534, 539, 267, 513, 1726, 3387, 1782, 4250, 454, 572, 1242, 782, 519, 16944, 1158, 1472, 3034, 1765, 19365, 9291, 902, 630, 14690, 277, 1240, 876, 994, 2108, 29128, 519, 2367, 540, 2962, 2312, 856, 519, 2911, 619, 649, 945, 723, 1514, 931, 31190, 616, 693, 519, 23502, 540, 1346, 945, 723, 9039, 3034, 1765, 24730, 24527, 26396, 630, 6977, 277, 866, 2004, 994, 2108, 4415, 11683, 18039, 267, 23502, 568, 513, 6612, 269, 2060, 803, 267, 621, 568, 8806, 1434, 25654, 269, 1411, 949, 9794, 799, 30254, 568, 519, 811, 6325, 3034, 1765, 27144, 12157, 339, 630, 4572, 275, 866, 4817, 264, 0, 289, 755, 539, 281, 5440, 476, 276, 12619, 3733, 2195, 2334, 2052, 15053, 2659, 2657, 454, 2171, 6108, 835, 3791, 540, 938, 1272, 12008, 269, 9747, 267, 972, 1590, 581, 513, 1434, 2601, 1946, 2470, 2306, 721, 3207, 585, 713, 1279, 269, 14066, 1297, 540, 2090, 782, 936, 519, 1158, 723, 3254, 519, 6225, 2360, 540, 1434, 3207, 563, 28036, 22975, 267, 593, 519, 824, 1688, 267, 3947, 4473, 547, 513, 3099, 540, 1072, 2152, 607, 11329, 856, 676, 3173, 942, 543, 1586, 269, 1656, 513, 1297, 540, 14868, 1472, 3207, 1039, 547, 519, 1072, 9651, 540, 5312, 3207, 22975, 563, 288, 1007, 1353, 267, 3370, 676, 513, 1895, 540, 3173, 538, 519, 4760, 12619, 2657, 267, 814, 21821, 539, 476, 736, 1034, 11342, 3207, 14868, 543, 3181, 6064, 539, 873, 563, 307, 22736, 827, 519, 1353, 267, 31929, 7605, 321, 1231, 267, 8048, 15766, 1807, 540, 519, 1353, 689, 1715, 3840, 2160, 267, 1767, 912, 2080, 2461, 519, 1283, 3207, 14868, 602, 596, 1058, 6157, 711, 2887, 10352, 547, 912, 13349, 3733, 2195, 6168, 12619, 454, 2080, 2461, 930, 540, 519, 1455, 14868, 827, 3207, 912, 299, 3716, 10965, 1681, 568, 13159, 569, 16453, 454, 2005, 779, 835, 540, 519, 1034, 1455, 14868, 602, 2879, 1681, 568, 4625, 20027, 563, 27409, 1681, 568, 513, 2783, 1141, 1945, 538, 519, 9224, 267, 5023, 267, 11563, 610, 9641, 7161, 7244, 1247, 12008, 269, 901, 7472, 513, 2571, 15828, 3716, 543, 18473, 3280, 563, 4407, 2879, 1681, 666, 581, 20027, 538, 1978, 2665, 267, 621, 666, 849, 581, 513, 1129, 540, 3207, 19103, 267, 513, 5732, 3978, 3207, 4524, 563, 7804, 667, 650, 517, 667, 338, 537, 5633, 267, 513, 29180, 2861, 13693, 656, 13673, 307, 543, 10361, 543, 3026, 1188, 31048, 517, 609, 808, 553, 331, 758, 11233, 543, 2677, 2967, 6413, 267, 6941, 912, 7804, 667, 338, 537, 5633, 8591, 602, 538, 4079, 267, 621, 779, 513, 1129, 540, 5855, 950, 972, 779, 10978, 5312, 2879, 1681, 3592, 1169, 3781, 267, 669, 3183, 267, 2879, 15659, 610, 3154, 4771, 1282, 3207, 267, 24971, 909, 1419, 4743, 856, 540, 7362, 267, 24971, 909, 609, 513, 3819, 5023, 267, 24817, 3207, 1465, 543, 13110, 1145, 267, 2469, 547, 19880, 1419, 693, 3781, 267, 7340, 6888, 543, 8519, 5834, 267, 543, 6640, 14331, 563, 763, 4589, 540, 519, 1353, 849, 5000, 2550, 711, 547, 14962, 10978, 2879, 1681, 267, 855, 2864, 547, 1294, 513, 4387, 2094, 713, 3207, 7180, 949, 1291, 547, 2295, 3247, 335, 1137, 610, 824, 10108, 563, 2791, 10261, 10815, 12619, 607, 1411, 6520, 454, 1607, 814, 547, 581, 835, 540, 519, 9510, 14868, 538, 519, 3207, 23573, 267, 602, 596, 1810, 1406, 991, 607, 1454, 3207, 607, 596, 1332, 2025, 269, 898, 779, 942, 649, 3247, 1022, 2417, 10419, 1674, 540, 713, 7242, 910, 782, 4079, 991, 5722, 32732, 3108, 547, 3207, 829, 3781, 593, 606, 3328, 269, 11270, 563, 763, 2817, 12619, 7690, 267, 7330, 267, 15565, 5722, 547, 8370, 3108, 3207, 1169, 3781, 11489, 519, 2085, 540, 476, 5038, 543, 5722, 547, 5216, 3108, 585, 4896, 936, 476, 4792, 563, 11854, 1136, 547, 28218, 4505, 267, 17240, 3000, 6048, 3220, 23819, 553, 8575, 1722, 320, 267, 1767, 912, 3383, 798, 1294, 513, 4387, 952, 596, 666, 1406, 1205, 2614, 3207, 563, 2704, 4022, 1299, 27657, 6969, 16170, 6435, 1411, 4039, 1314, 454, 6624, 540, 721, 1745, 602, 513, 4837, 540, 938, 5172, 6216, 344, 1175, 1354, 5127, 786, 948, 721, 1205, 513, 1434, 3781, 779, 3207, 269, 1809, 621, 568, 513, 7242, 563, 763, 4589, 540, 519 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1944, 519, 4214, 540, 5409, 2023, 545, 267, 5492, 4577, 267, 543, 13666, 4577, 3435, 568, 711, 2556, 950, 596, 1174, 519, 3597, 1913, 602, 1118, 909, 891, 10855, 1913, 269, 3399, 4974, 5492, 4577, 267, 13666, 4577, 267, 5409, 2023, 545, 1451, 6863, 267, 2474, 267, 543, 811, 609, 15460, 267, 3756, 267, 543, 824, 1353, 2645, 269, 2060, 2543, 547, 23015, 2670, 267, 30341, 1216, 786, 2141, 581, 5492, 4577, 3379, 547, 606, 25694, 3070, 5627, 1022, 2179, 540, 513, 1151, 1393, 1317, 30341, 1216, 568, 6986, 543, 3568, 1100, 15702, 6878, 267, 606, 25694, 3070, 609, 1022, 5834, 540, 1151, 1393, 786, 581, 5409, 2023, 545, 950, 3379, 547, 30341, 269, 744, 8243, 2670, 543, 512, 4577, 640, 5409, 2023, 545, 267, 13666, 4577, 267, 543, 5492, 4577, 3435, 543, 741, 1198, 593, 2281, 563, 1432, 568, 519, 3017, 1063, 13666, 4577, 5492, 4577, 543, 5409, 2023, 545, 13666, 4577, 3435, 616, 3435, 2348, 3160, 23015, 5328, 12503, 5492, 4577, 3435, 616, 269, 1548, 568, 519, 3017, 1063, 13666, 4577, 267, 5492, 4577, 543, 5409, 2023, 545, 3435, 2491, 519, 3017, 1063, 5409, 2023, 545, 267, 5492, 4577, 267, 611, 13666, 4577, 23015, 2670, 269, 15486, 267, 2619, 30986, 267, 1973, 270, 584, 710, 4255, 13666, 4577, 546, 630, 10972, 1551, 9996, 267, 13481, 264, 5409, 2023, 545, 546, 630, 325, 1197, 267, 6704, 4262, 1216, 267, 3987, 264, 5492, 4577, 546, 630, 17742, 8482, 1040, 2659, 10700, 3391, 547, 5409, 2023, 529, 5288, 5492, 4577, 543, 13666, 4577, 3435, 1018, 17488, 12862, 1131, 596, 2285, 513, 3461, 563, 29730, 2023, 545, 267, 13666, 4577, 543, 5492, 4577, 3435, 543, 875, 789, 1198, 2030, 543, 3662, 2281, 910, 939, 5652, 5734, 7770, 269, 15214, 2023, 545, 4214, 568, 910, 27109, 7050, 3159, 610, 8082, 875, 547, 946, 5409, 2023, 545, 538, 513, 4845, 2443, 5635, 5492, 4577, 476, 273, 267, 13666, 4577, 476, 272, 2938, 543, 4862, 563, 8368, 593, 519, 1198, 540, 23015, 2670, 593, 3662, 543, 2371, 2281, 2699, 1973, 2281, 5116, 538, 13666, 4577, 3070, 2699, 1973, 2281, 5116, 538, 5409, 2023, 545, 3070, 269, 15214, 2023, 545, 3070, 3152, 5834, 540, 1151, 1393, 3544, 540, 1591, 982, 3330, 4248, 1761, 568, 2362, 23015, 5328, 1761, 568, 2539, 6339, 3350, 540, 269, 1548, 21485, 338, 606, 13666, 4577, 267, 5409, 2023, 545, 543, 5492, 4577, 3070, 547, 1174, 1018, 519, 2474, 13666, 4577, 267, 5409, 2023, 545, 543, 563, 29797, 582, 4577, 267, 13666, 4577, 543, 5409, 2023, 545, 5026, 10425, 6045, 3442, 2635, 5026, 10425, 689, 993, 534, 1440, 3570, 269, 744, 8243, 2670, 2164, 851, 476, 272, 630, 5228, 2451, 547, 1318, 264, 5492, 4577, 3070, 267, 13666, 4577, 3070, 267, 5409, 2023, 545, 3070, 269, 1879, 513, 2699, 1973, 1591, 568, 5116, 538, 513, 5409, 2023, 545, 3070, 267, 621, 695, 337, 3855, 607, 1216, 568, 6537, 856, 540, 519, 1591, 543, 883, 519, 4478, 3070, 952, 519, 1482, 1973, 1591, 568, 5116, 538, 513, 5492, 4577, 3070, 267, 519, 1973, 1591, 9428, 538, 2450, 1973, 2281, 538, 13666, 4577, 3435, 798, 711, 16756, 610, 2220, 749, 519, 2601, 602, 563, 23921, 948, 538, 1620, 5492, 4577, 267, 5409, 2023, 545, 267, 543, 13666, 4577, 3435, 1224, 6505, 13398, 781, 1353, 3391, 547, 1205, 513, 2620, 1620, 540, 891, 2010, 540, 1151, 2373, 538, 1931, 547, 948, 596, 609, 707, 6780, 610, 5310, 1175, 547, 8897, 707, 7279, 269, 26597, 2090, 723, 1044, 3370, 10442, 519, 13047, 2360, 540, 5409, 2023, 545, 267, 5492, 4577, 267, 543, 13666, 4577, 9252, 9447, 3842, 513, 683, 12712, 6500, 547, 2635, 267, 20060, 532, 619, 269, 901, 5714, 1299, 23386, 7688, 568, 2966, 547, 1449, 707, 1702, 593, 5492, 4577, 267, 5409, 2023, 545, 267, 543, 13666, 4577, 3435, 538, 1840, 267, 596, 786, 581, 7688, 7458, 593, 707, 2702, 547, 1174, 875, 23015, 2670, 1568, 538, 891, 1826, 540, 23015, 6897, 640, 2175, 269, 23738, 4577, 5288, 5409, 2023, 545, 519, 18236, 540, 1216, 6675, 689, 513, 32561, 3070, 547, 513, 13671, 3070, 998, 513, 10859, 12656, 1889, 762, 9245, 568, 1572, 2048, 657, 332, 2670, 9957, 7476, 3758, 0, 13625, 1603, 3391, 1451, 519, 1148, 540, 13085, 1557, 1603, 609, 948, 689, 938, 3610, 1451, 811, 269, 2160, 540, 1608, 4727, 17485, 2587, 7062, 3594, 593, 1582, 12656, 4003, 543, 1344, 13414, 513, 12031, 11643, 538, 9864, 9547, 540, 519, 4170, 585, 519, 269, 32185, 7696, 7696, 7696, 476, 273, 562, 4912, 8226, 4367, 8226, 568, 519, 6073, 676, 799, 606, 1367, 568, 2111, 547, 2070, 610, 2744, 606, 1620, 883, 269, 3367, 1018, 568, 8226, 1863, 1557, 543, 936, 476, 9262, 267, 1822, 824, 1382, 6054, 1018, 568, 8226, 1018, 568, 8226, 2687, 547, 12766, 24628, 2228, 8226, 269, 32185, 540, 4641, 3594, 1018, 568, 1483, 938, 8226, 540, 4641, 568, 1419, 538, 519, 3946, 540, 519, 2146, 649, 2661, 538, 649, 25666, 2093, 540, 4641, 1210, 1995, 563, 9209, 8226, 1148, 8226, 1018, 568, 1148, 2731, 9277, 547, 1611, 798, 5159, 3801, 547, 30035, 1945, 998, 741, 960, 610, 568, 621, 2451, 547, 519, 1620, 540, 269, 32185, 4367, 8226, 568, 3989, 607, 513, 1184, 676, 799, 7103, 4612, 543, 10891, 14815, 547, 3132, 513, 6209, 1995, 540, 519, 1158, 269, 21261, 894, 1557, 5912, 1913, 7824, 586, 1695, 5622, 1557, 593, 5718, 7907, 538, 31448, 4528, 547, 6146, 513, 27629, 1557, 851, 476, 272, 4267, 544, 9346, 1557, 1603, 3028, 2516, 563, 8698, 543, 4647, 8226, 3594, 1806, 849, 3605, 3584, 267, 10643, 267, 14592, 267, 5098, 6898, 267, 543, 8753, 585, 707, 8226, 1557, 269, 32185, 1557, 536, 3073, 518, 5401, 281, 2328, 513, 476, 4335, 268, 16020, 2262, 1557, 827, 3765, 704, 4003, 4901, 540, 519, 5401, 281, 649, 782, 6560, 609, 11994, 3232, 269, 32185, 3594, 16291, 547, 1866, 1557, 267, 10921, 9886, 5856, 14720, 8500, 1557, 17096, 269, 11426, 1557, 1603, 3028, 4766, 1614, 630, 274, 264, 2081, 938, 8226, 540, 1582, 543, 1866, 5540, 938, 8226, 540, 1344, 1985, 267, 2671, 606, 1995, 538, 799, 707, 269, 1280, 713, 7084, 1775, 3442, 519, 2450, 1526, 3599, 689, 519, 14815, 543, 8226, 18862, 2450, 1526, 3599, 4016, 547, 519, 1249, 602, 938, 11994, 540, 519, 2450, 540, 563, 11514, 25068, 281, 713, 1557, 814, 1044, 11643, 676, 513, 2875, 713, 568, 711, 606, 1383, 540, 519, 960, 2854, 676, 938, 3318, 1557, 5830, 1022, 8369, 267, 4681, 269, 1548, 568, 8226, 875, 666, 513, 1268, 779, 8226, 540, 1866, 1764, 606, 3919, 779, 2623, 1018, 616, 519, 2318, 543, 2942, 2360, 540, 1210, 829, 21082, 269, 7348, 543, 4647, 10444, 8226, 3594, 1806, 849, 3605, 3584, 267, 10643, 267, 14592, 267, 5098, 6898, 267, 543, 8753, 585, 707, 10444, 8226, 1557, 269, 1879, 649, 1413, 693, 1945, 267, 616, 649, 782, 7487, 519, 1482, 3364, 8226, 568, 519, 2702, 547, 1294, 267, 5873, 267, 610, 1831, 3222, 540, 1945, 998, 519, 12823, 269, 8682, 8226, 1957, 713, 1557, 1582, 8226, 1957, 543, 824, 476, 7830, 267, 1822, 266, 2165, 4574, 267, 2852, 1557, 1806, 543, 1863, 3594, 616, 2139, 1631, 593, 2689, 612, 904, 1260, 563, 13625, 540, 8226, 1557, 540, 8226, 1101, 543, 19466, 649, 723, 606, 1930, 7450, 3609, 693, 519, 3484, 1317, 649, 3494, 11413, 568, 1898, 547, 12477, 269, 32185, 2165, 4574, 2139, 693, 4541, 4574, 1260, 267, 519, 4102, 1863, 2165, 1957, 2146, 269, 18712, 543, 8226, 281, 519, 4641, 649, 13498, 568, 519, 4641, 649, 1616, 547, 13498, 910, 609, 513, 1863, 1557, 2689, 910, 1863, 1557, 8039, 563, 2005, 568, 1557, 593, 8226, 849, 1271, 547, 596, 3006, 267, 1053, 12735, 3511, 1125, 1510, 1256, 6616, 789, 798, 711, 1616, 938, 7218, 676, 1797, 540, 2298, 543, 3312, 676, 269, 4985, 713, 1957, 786, 3801, 547, 8044, 1996, 519, 1455, 20887, 827, 4641, 543, 8226, 621, 786, 2119, 547, 2491, 602, 8226, 543, 556, 269, 18391, 585, 606, 1557, 3732, 1412, 704, 4003, 262, 946, 713, 835, 607, 513, 2707, 540, 6667, 267, 610, 4444, 2688, 1957, 2854, 689, 15072, 13948, 585, 596, 269, 594, 786, 1217, 519, 5304, 538, 476, 274, 2081, 267, 1946, 8226, 10992, 568, 513, 1434, 1907, 547, 948, 1004, 1174, 1866, 8226, 10992, 568, 1175, 899, 3168, 693, 1114, 269, 0, 17746, 1192, 532, 2495, 2982, 3610, 281, 513, 4819, 7888, 1259, 547, 6338, 543, 2203, 513, 20762, 27132, 540, 8223, 2994, 21276, 569, 267, 865, 1053, 269, 21864, 3988, 946, 513, 3099, 540, 2994, 547, 4020, 2495, 3573, 1382, 936, 519, 2250, 1079, 5756, 814, 3254, 602, 930, 540, 891, 2994, 3100, 269, 2353, 2581, 561, 22678, 518, 14335, 2495, 998, 3308, 8901, 2238, 281, 606, 620, 534, 9886, 1382, 1788, 695, 600, 622, 324, 11542, 538, 4395, 540, 519, 1362, 267, 21312, 563, 10743, 4983, 1257, 5702, 543, 1711, 14391, 725, 547, 1118, 2123, 543, 6209, 4296, 609, 519, 960, 269, 20472, 532, 10096, 543, 20848, 1369, 15821, 4247, 23891, 564, 513, 514, 2917, 267, 561, 714, 12014, 267, 737, 1009, 344, 530, 12291, 20576, 540, 2069, 267, 6280, 540, 2112, 19213, 267, 1547, 634, 3157, 540, 1514, 4070, 616, 2489, 855, 789, 616, 5129, 856, 538, 1114, 2081, 676, 2021, 543, 2367, 1247, 14344, 4664, 547, 581, 1514, 269, 20472, 532, 2495, 2488, 3610, 609, 519, 1184, 543, 2645, 585, 22805, 8763, 1893, 6044, 883, 1543, 1858, 3450, 3992, 4058, 568, 563, 17746, 1192, 532, 2495, 2488, 3610, 609, 519, 1184, 543, 2645, 585, 22805, 8763, 1893, 6044, 883, 1543, 268, 19327, 3450, 3992, 4058, 568, 269, 20472, 4214, 281, 952, 596, 4020, 1945, 971, 607, 513, 2679, 267, 4155, 2073, 610, 3684, 2073, 596, 1628, 621, 610, 1118, 1923, 2495, 267, 12332, 267, 16627, 543, 1806, 269, 634, 1257, 568, 11609, 609, 1806, 540, 6965, 543, 5152, 18405, 602, 723, 1044, 1031, 547, 4020, 2495, 538, 519, 3797, 543, 519, 4589, 262, 1378, 18759, 593, 713, 1547, 18520, 14335, 2495, 538, 2257, 281, 513, 13374, 547, 6565, 585, 7005, 6267, 1476, 539, 3130, 540, 522, 13791, 1153, 16984, 269, 20472, 532, 4214, 281, 476, 272, 1459, 32096, 540, 4020, 273, 547, 1628, 1945, 610, 2322, 1927, 1114, 2694, 547, 1106, 1945, 2898, 281, 1451, 811, 563, 20091, 607, 3206, 281, 968, 322, 761, 1227, 892, 14335, 2495, 540, 1257, 2443, 29827, 705, 321, 2714, 267, 1788, 9614, 267, 519, 2565, 3206, 931, 24832, 519, 3586, 3406, 269, 700, 1872, 1601, 344, 267, 556, 6390, 14335, 2495, 538, 5872, 998, 4605, 2835, 524, 10134, 4760, 476, 273, 630, 1001, 273, 264, 476, 274, 267, 521, 476, 9032, 268, 14056, 3227, 325, 2129, 331, 2940, 1990, 527, 1512, 2426, 270, 6700, 11239, 269, 20472, 532, 2495, 694, 3570, 4172, 28952, 5042, 2257, 8257, 6280, 540, 1608, 4727, 267, 7254, 5884, 2998, 713, 2376, 8039, 5042, 23798, 1382, 563, 17746, 1192, 532, 2495, 281, 1159, 335, 476, 273, 2601, 7493, 569, 543, 11050, 569, 28879, 21295, 1053, 1118, 2631, 540, 9424, 543, 741, 3347, 269, 11150, 585, 14335, 2495, 543, 5464, 1620, 519, 2994, 734, 335, 9438, 532, 267, 15819, 267, 5587, 4328, 267, 543, 28388, 734, 15276, 1053, 4020, 269, 4432, 3035, 5077, 338, 609, 3872, 8041, 547, 1711, 2500, 1949, 585, 7005, 6267, 938, 5692, 568, 547, 4217, 7855, 538, 30015, 7005, 269, 5131, 11288, 593, 27216, 3091, 2870, 10600, 267, 14335, 2495, 568, 519, 1101, 721, 1433, 593, 1650, 1467, 267, 513, 12316, 1505, 585, 3450, 1543, 269, 901, 2985, 3568, 4267, 547, 4749, 4280, 2055, 827, 14335, 2495, 1058, 596, 991, 2417, 6351, 267, 5225, 4757, 721, 693, 563, 17746, 1192, 532, 2495, 689, 14897, 766, 281, 2199, 18189, 5314, 540, 519, 7508, 538, 683, 25659, 269, 23305, 3344, 540, 14335, 2495, 689, 1257, 1257, 12454, 543, 1702, 12454, 4393, 281, 7650, 543, 6476, 7293, 3344, 540, 1547, 21546, 14629, 19618, 1153, 8664, 568, 4098, 922, 476, 276, 628, 1032, 540, 1210, 14335, 2495, 2994, 538, 519, 4928, 585, 519, 2250, 2185, 1296, 267, 6281, 269, 19395, 267, 795, 630, 1220, 271, 264, 5835, 15839, 9897, 281, 3838, 543, 3391, 10092, 547, 4830, 2542, 476, 275, 268, 1321, 2823, 1633, 267, 803, 281, 23296, 5264, 782, 523, 267, 795, 630, 1220, 275, 264, 2645, 585, 3450, 1543, 563, 272, 560, 1630, 1047, 1533, 8257, 540, 1158, 4654, 3486, 10554, 593, 2686, 2090, 269, 4804, 547, 4020, 543, 11753, 2789, 1673, 665, 3701, 7924, 2789, 17856, 338 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 28036, 9882, 4016, 547, 513, 1305, 540, 2853, 543, 6208, 602, 3895, 2635, 543, 1964, 995, 3207, 269, 898, 3322, 2870, 606, 1604, 543, 9591, 13467, 602, 616, 20009, 547, 6099, 3207, 2298, 269, 6153, 3207, 9882, 568, 1898, 585, 4509, 513, 5812, 3207, 8430, 267, 5355, 3207, 8653, 267, 543, 4227, 519, 1981, 540, 3207, 4713, 899, 20026, 563, 3383, 1934, 616, 930, 1883, 3741, 540, 3207, 9882, 3248, 272, 269, 19372, 513, 3117, 11962, 12619, 21480, 454, 3080, 1883, 3693, 568, 9591, 513, 5812, 3207, 8430, 269, 901, 1797, 2469, 547, 5127, 543, 24971, 909, 693, 519, 1482, 942, 1169, 1554, 267, 1256, 593, 32300, 269, 1635, 4509, 513, 2834, 3207, 6296, 267, 596, 15222, 1125, 707, 1560, 779, 4835, 9219, 267, 1634, 607, 519, 27266, 11733, 267, 799, 2337, 10038, 707, 3207, 2914, 820, 4783, 269, 901, 11007, 10607, 519, 2949, 4398, 540, 707, 3207, 267, 1818, 621, 4443, 547, 2887, 18069, 267, 3251, 18069, 267, 543, 12687, 909, 4743, 18589, 1117, 269, 2598, 4533, 532, 707, 3207, 8430, 267, 971, 607, 9363, 909, 3735, 610, 12008, 538, 12150, 569, 267, 666, 25657, 707, 1560, 779, 2067, 11733, 543, 1291, 547, 7965, 538, 9991, 18069, 543, 4509, 513, 11931, 3207, 4806, 269, 1635, 26724, 513, 5812, 3207, 8430, 607, 851, 540, 707, 3207, 9882, 6296, 267, 596, 666, 1489, 707, 1560, 779, 2067, 3207, 6127, 543, 2972, 811, 1964, 995, 17334, 563, 273, 269, 8073, 513, 4039, 1314, 532, 16170, 5503, 13705, 710, 454, 17730, 513, 21363, 21557, 6296, 3322, 2502, 538, 22196, 2238, 538, 519, 5662, 1354, 3207, 547, 5365, 547, 707, 1560, 602, 621, 779, 942, 547, 7938, 785, 269, 901, 6296, 2337, 5912, 689, 519, 11112, 1145, 540, 519, 1554, 547, 513, 1533, 540, 11005, 267, 5009, 513, 23704, 5912, 883, 3207, 269, 11242, 1522, 1331, 2542, 513, 1433, 267, 1316, 2358, 9543, 15198, 610, 10649, 267, 2921, 513, 3636, 8602, 267, 610, 6947, 547, 25695, 2575, 269, 1635, 9319, 18398, 610, 17173, 2238, 899, 960, 610, 7920, 5496, 942, 267, 596, 1450, 707, 2247, 543, 1560, 547, 7930, 2842, 1524, 269, 3117, 626, 1836, 1316, 2358, 513, 21557, 6296, 666, 1711, 513, 31411, 3210, 602, 2337, 9594, 11005, 543, 1732, 3207, 267, 1818, 621, 4443, 547, 2887, 18069, 543, 2972, 513, 1964, 995, 3781, 563, 274, 269, 23423, 22452, 547, 21115, 839, 454, 306, 920, 839, 12520, 4544, 1769, 267, 799, 16401, 525, 519, 2504, 540, 5283, 28853, 267, 513, 9449, 602, 6786, 547, 519, 1560, 602, 621, 779, 942, 547, 3207, 269, 901, 17522, 547, 5283, 28853, 2504, 666, 8488, 519, 12614, 540, 3207, 543, 11145, 519, 2067, 3207, 2914, 820, 4783, 269, 12056, 609, 13819, 267, 971, 607, 16389, 267, 14342, 267, 5904, 267, 543, 7641, 338, 267, 1354, 21557, 666, 849, 12954, 519, 2634, 543, 1832, 596, 15508, 10332, 267, 1818, 621, 9875, 547, 7938, 785, 543, 6001, 269, 1635, 9319, 13819, 693, 2547, 606, 5662, 1354, 5127, 267, 596, 1450, 707, 1560, 547, 6923, 2842, 1524, 543, 5965, 585, 3207, 269, 901, 2259, 7028, 519, 1560, 779, 2067, 3207, 18819, 267, 10607, 3207, 2298, 267, 543, 10597, 707, 2949, 3207, 9882, 563, 275, 269, 8073, 513, 1290, 13025, 12619, 5113, 454, 17730, 513, 6899, 3207, 1604, 3322, 17306, 707, 23103, 547, 3895, 11005, 543, 1964, 995, 3207, 269, 10670, 676, 4180, 707, 20974, 816, 543, 10788, 3298, 616, 6899, 543, 11215, 269, 6513, 519, 4055, 779, 2837, 547, 1118, 621, 20009, 547, 3207, 267, 3335, 1063, 476, 2568, 268, 6858, 13790, 630, 1428, 268, 866, 9180, 1040, 17435, 519, 8279, 538, 519, 10543, 547, 5365, 547, 707, 1560, 602, 621, 779, 942, 547, 2842, 1524, 269, 2422, 3109, 719, 1225, 13935, 547, 3625, 856, 4430, 1769, 267, 543, 7413, 6846, 21463, 609, 1274, 680, 13903, 610, 3043, 6846, 6191, 269, 5901, 707, 23103, 804, 13616, 6954, 543, 6896, 547, 3895, 513, 2631, 540, 9350, 269, 1403, 596, 1265, 621, 5363, 267, 6451, 25695, 2609, 899, 22196, 15437, 267, 2571, 18282, 267, 610, 21363, 1085, 757, 998, 12906, 7752, 2805, 269, 1635, 14237, 513, 22471, 559, 543, 18136, 3207, 1604, 267, 596, 2461, 4259, 519, 3942, 585, 513, 12560, 3781, 779, 1964, 563, 276, 269, 23423, 595, 25377, 710, 543, 15850, 454, 2414, 3970, 14933, 543, 4568, 6981, 585, 1732, 3207, 267, 1376, 676, 1373, 13533, 540, 519, 12557, 540, 4616, 269, 21079, 610, 2057, 14933, 25202, 16098, 899, 6995, 267, 7401, 267, 543, 1648, 10425, 267, 2523, 538, 519, 12784, 543, 10543, 267, 607, 14933, 666, 3251, 538, 707, 1062, 585, 1896, 3108, 543, 15936, 609, 9991, 18069, 269, 8838, 585, 1232, 25377, 3990, 3681, 952, 596, 2461, 6159, 1324, 513, 3636, 4235, 538, 519, 10543, 269, 6684, 267, 1247, 4568, 1522, 723, 6822, 894, 2360, 7620, 267, 621, 7519, 338, 519, 3207, 4783, 2663, 538, 519, 3781, 267, 3056, 547, 27929, 3207, 543, 8519, 3207, 2298, 269, 1403, 596, 3442, 547, 4235, 267, 798, 865, 538, 20208, 543, 2057, 4568, 2673, 547, 21557, 269, 1635, 15645, 908, 14933, 543, 4568, 6981, 543, 4758, 707, 1560, 942, 547, 1184, 891, 6878, 1354, 3207, 267, 596, 666, 2087, 707, 8458, 540, 513, 1964, 995, 3781, 779, 3207, 563, 277, 269, 13773, 15765, 4438, 519, 4303, 454, 1805, 11691, 3742, 1282, 519, 1554, 568, 513, 2629, 2460, 540, 3207, 9882, 602, 8309, 547, 1732, 3207, 269, 8617, 2168, 2534, 2337, 10038, 519, 1560, 779, 27266, 11733, 267, 5009, 513, 811, 5812, 3207, 2914, 820, 4783, 269, 12056, 538, 9793, 20659, 5751, 899, 6972, 267, 28185, 3101, 267, 610, 10977, 666, 2087, 3207, 2298, 676, 4227, 519, 942, 621, 3217, 547, 2887, 18069, 543, 7393, 3207, 8653, 269, 1717, 267, 621, 779, 1898, 547, 942, 707, 3635, 14013, 267, 17935, 547, 2347, 2168, 2534, 693, 2547, 513, 1906, 3108, 1354, 21557, 269, 901, 2636, 707, 1560, 2837, 547, 6749, 543, 707, 1062, 547, 7938, 785, 267, 1818, 621, 4443, 547, 2887, 18069, 269, 1635, 6220, 2834, 2168, 2534, 883, 707, 6296, 267, 596, 711, 1152, 1489, 1732, 3207, 855, 849, 28231, 3875, 824, 2168, 543, 2790, 1072, 2640, 563, 278, 269, 28509, 13262, 454, 28036, 9882, 543, 5883, 2566, 979, 1688, 538, 1688, 950, 621, 2501, 547, 5009, 2635, 3207, 269, 13262, 543, 4160, 666, 3648, 1764, 3207, 2298, 543, 3565, 547, 20026, 269, 30459, 2566, 2359, 2553, 883, 707, 6296, 267, 971, 607, 11009, 267, 2620, 7244, 267, 9066, 267, 610, 11636, 4887, 11005, 267, 666, 948, 9350, 519, 2247, 543, 2569, 519, 1560, 779, 12214, 26901, 531, 1354, 21557, 269, 1635, 5883, 2566, 3927, 267, 596, 666, 1711, 513, 811, 17159, 2790, 1533, 602, 779, 20009, 547, 9991, 18069, 269, 3958, 267, 20170, 547, 3207, 9882, 2853, 267, 899, 4509, 513, 5812, 3207, 8430, 267, 2870, 513, 6899, 3207, 1604, 267, 543, 9319, 13819, 1354, 21557, 267, 1264, 906, 2566, 2359, 3646, 269, 901, 11455, 1935, 9607, 1312, 519, 5626, 543, 2168, 3344, 540, 3207, 267, 5807, 513, 9350, 2247, 543, 1560, 602, 616, 1732, 5423, 585, 1964, 995, 3207, 563, 279, 269, 23423, 715, 2355, 454, 3080, 2460, 540, 1434, 3207, 9882, 3322, 12145, 24817, 562, 2355, 269, 2755, 2110, 543, 17573, 562, 2355, 666, 2709, 513, 2656, 1648, 5818, 543, 3986, 10332, 1145, 267, 7928, 610, 17890, 562, 2355, 666, 15936, 609, 30148, 3207, 676, 27200, 519, 1560, 779, 2067, 3207, 2914, 820, 11733, 269, 7043, 518, 562, 2355, 949, 1291, 547, 9240, 1375, 1465, 267, 3207, 24880, 267, 543, 7411, 9991, 18069, 693, 3781, 269, 1677, 2327, 513, 811, 1964, 995, 543, 19597, 730, 30148, 3207, 267, 621, 779, 19624, 547, 3970, 562, 2355, 547, 1472, 476, 736, 268, 1789, 3764, 543, 2057, 562, 6260, 1932, 2673, 547, 21557, 269, 4698, 2358, 9793, 562, 6260, 6208, 267, 5916, 609, 824, 3207, 9882, 2994, 267, 8309, 547, 4509, 513, 7059, 3207, 8430, 543, 8236, 1732, 2949, 3207, 2298, 563, 280, 269, 1401, 2821, 23126, 547, 7849, 8752, 454, 20332, 1769, 4598, 2337, 10038, 707, 1560, 779, 4835, 9219, 267, 849, 1634, 607, 519, 27266, 11733, 267, 799, 1754, 985, 707, 3207, 2914, 820, 4783, 269, 22452, 547, 6505, 2067, 1769, 267, 2523, 538, 519, 6640, 267, 2337, 5365, 547, 707, 1560, 602, 621, 779, 24817, 267, 3056, 547, 2799, 10332, 1145, 543, 4824, 7099, 269, 901, 4598, 16401, 525, 5283, 28853, 2504, 1282, 519, 1554, 267, 1818, 596, 1745, 25805, 543, 10069, 1242, 267, 543, 1287, 2636, 5283, 28853, 2157, 547, 4473, 538, 519, 10543, 267, 5009, 519, 12614, 540, 3207, 693, 3781, 269, 1635, 6220, 2067, 1769, 883, 707, 3232, 6296, 267, 596, 666, 15222, 1125, 707, 1560, 779, 4835, 9219, 267, 3986, 3207, 2298, 267, 543, 3715, 513, 811, 5812, 3207, 2914, 820, 4806, 563, 1015, 269, 5901, 513, 12619, 4144, 776, 454, 30789, 513, 3207, 19701, 568, 606, 17170, 1907, 538, 713, 1184, 269, 1635, 10916, 3877, 827, 707, 3207, 3270, 267, 3232, 2238, 267, 543, 3207, 5829, 2188, 267, 596, 2744, 5813, 883, 707, 3207, 6208, 267, 7114, 1761, 3270, 610, 12153, 585, 3207, 7965, 269, 901, 1239, 666, 948, 596, 543, 707, 3782, 8502, 1174, 707, 3207, 3270, 1732, 543, 1118, 5483, 3664, 827, 11941, 547, 707, 3207, 6296, 610, 6208, 269, 589, 3207, 19701, 11226, 538, 22942, 532, 2127, 585, 6454, 267, 3850, 596, 547, 20688, 707, 3207, 9882, 2853, 585, 811, 2500, 2164, 267, 6038, 3056, 547, 4824, 3207, 2298, 543, 2949, 1134, 5630, 269, 0, 23338, 4871, 3059, 19728, 630, 290, 9720, 12336, 264, 723, 7153, 607, 513, 3905, 1888, 538, 519, 2883, 2872, 538, 2487, 1296, 269, 589, 14055, 290, 568, 513, 3059, 4528, 540, 513, 2197, 779, 535, 9332, 9304, 602, 568, 9783, 543, 20483, 676, 922, 3844, 4871, 269, 9521, 19116, 899, 11670, 267, 14055, 12336, 616, 21438, 543, 20483, 676, 519, 2229, 267, 799, 2306, 873, 1447, 19979, 543, 811, 6325, 269, 1452, 3059, 19728, 666, 581, 1031, 585, 1585, 5301, 267, 971, 607, 5009, 2883, 10014, 267, 4227, 11834, 3790, 267, 543, 7393, 519, 4398, 540, 519, 8569, 1062, 563, 763, 4417, 540, 14055, 12336, 666, 581, 11911, 547, 519, 3395, 3747, 585, 3059, 11033, 543, 519, 4473, 540, 9893, 2029, 269, 23204, 267, 519, 18228, 24432, 2029, 602, 7060, 19116, 267, 814, 519, 1761, 547, 22499, 519, 2883, 5251, 676, 3246, 513, 5150, 267, 12001, 267, 543, 1799, 17014, 1259, 540, 13936, 543, 22151, 1239, 269, 1635, 16107, 9893, 5121, 267, 3844, 8492, 666, 1711, 3059, 19728, 602, 616, 811, 5150, 267, 3608, 267, 543, 3015, 982, 2757, 535, 9332, 19728, 563, 3080, 540, 519, 1883, 2640, 540, 14055, 12336, 568, 741, 1761, 547, 3895, 2883, 10014, 269, 2060, 14055, 12336, 267, 1004, 945, 616, 796, 23810, 539, 610, 896, 23810, 539, 666, 723, 1569, 547, 513, 3059, 9304, 602, 568, 20483, 676, 519, 2229, 543, 666, 581, 1031, 585, 1585, 5301, 267, 971, 607, 9878, 12014, 267, 8391, 11033, 267, 543, 1818, 16306, 269, 14055, 12336, 666, 849, 2569, 11834, 3790, 543, 3986, 519, 4398, 540, 519, 8569, 1062, 676, 7175, 1483, 6066, 11175, 543, 4227, 10827, 2456, 563, 5194, 4324, 540, 14055, 12336, 568, 741, 1761, 547, 11574, 519, 4220, 2404, 609, 2757, 535, 9332, 19728, 269, 9521, 535, 9332, 19728, 267, 799, 666, 581, 1641, 547, 10637, 267, 1219, 3175, 267, 543, 824, 2804, 2188, 267, 14055, 12336, 616, 2966, 547, 581, 7123, 543, 5150, 269, 1635, 1210, 18228, 9893, 5121, 267, 3844, 8492, 666, 2327, 602, 14055, 12336, 616, 23984, 704, 31383, 543, 3112, 581, 4831, 10623, 1243, 610, 5918, 6088, 563, 290, 9720, 12336, 616, 1869, 538, 519, 2038, 5933, 540, 1646, 267, 543, 972, 616, 1082, 2591, 602, 991, 547, 581, 9619, 1354, 789, 666, 581, 4922, 7550, 269, 2290, 540, 519, 1292, 2591, 568, 4180, 602, 14055, 12336, 616, 954, 6016, 762, 609, 4540, 8569, 1949, 543, 666, 581, 1031, 2066, 1114, 5867, 543, 3457, 269, 6271, 4161, 568, 4180, 602, 14055, 12336, 616, 5360, 5050, 609, 4143, 6042, 543, 798, 711, 10460, 513, 3463, 547, 2883, 6617, 563, 8601, 891, 2591, 267, 14055, 12336, 723, 519, 1761, 547, 581, 513, 3014, 7302, 9734, 538, 519, 2883, 5251, 269, 1635, 16107, 9893, 2029, 267, 3844, 8492, 666, 1711, 3059, 19728, 602, 616, 811, 5150, 267, 3608, 267, 543, 3015, 982, 2757, 535, 9332, 19728, 269, 14055, 12336, 666, 3895, 2883, 10014, 267, 2569, 11834, 3790, 267, 543, 3986, 519, 4398, 540, 519, 8569, 1062 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 666, 1406, 581, 10710, 676, 1697, 3896, 6725, 5859, 269, 11109, 513, 1587, 547, 2253, 609, 568, 707, 15712, 786, 2333, 6455, 563, 16158, 6725, 568, 606, 2500, 1259, 547, 3895, 707, 1587, 610, 3028, 267, 607, 1134, 607, 707, 1870, 269, 1411, 4465, 1406, 581, 3811, 1210, 10500, 559, 5573, 6725, 1510, 519, 1318, 4282, 1702, 269, 5457, 891, 4388, 865, 596, 666, 1831, 3811, 609, 19534, 6725, 563, 12179, 821, 538, 513, 5718, 2990, 1058, 2141, 581, 3168, 547, 1451, 875, 547, 581, 513, 811, 2500, 6205, 269, 901, 2376, 568, 2469, 547, 4001, 596, 1018, 2115, 547, 581, 1634, 547, 581, 513, 1390, 6205, 865, 1866, 723, 2576, 547, 1246, 269, 4495, 596, 723, 8737, 2542, 713, 2376, 596, 1058, 1631, 581, 5423, 547, 2285, 621, 707, 782, 593, 1169, 8317, 563, 15973, 6510, 519, 5075, 540, 707, 2319, 269, 2422, 707, 5692, 547, 3391, 519, 6109, 543, 6451, 513, 2631, 540, 2418, 883, 782, 596, 798, 269, 898, 568, 2565, 602, 596, 1397, 2319, 2818, 875, 789, 1404, 513, 1909, 538, 519, 3677, 4605, 540, 519, 2754, 779, 25029, 269, 901, 13071, 596, 1628, 513, 6793, 6125, 609, 519, 2319, 563, 28403, 1944, 15421, 538, 1866, 568, 513, 1129, 540, 513, 1434, 6205, 269, 1879, 596, 1413, 585, 6351, 267, 621, 2115, 547, 581, 2653, 585, 596, 547, 4584, 945, 1131, 4324, 596, 1034, 269, 901, 666, 581, 1031, 950, 596, 2461, 24931, 610, 17849, 1004, 563, 16605, 1919, 607, 2241, 607, 596, 666, 269, 10312, 593, 519, 1271, 1919, 1101, 269, 2991, 596, 723, 12913, 602, 267, 1287, 596, 666, 2253, 4259, 14422, 269, 22217, 1518, 3388, 607, 2484, 607, 2009, 269, 1656, 1305, 11735, 1483, 3860, 3206, 4090, 585, 596, 543, 596, 2319, 563, 288, 1434, 1259, 547, 1732, 707, 5718, 1983, 568, 547, 581, 8746, 538, 707, 3375, 6194, 269, 5221, 596, 616, 519, 11280, 6205, 267, 20743, 540, 3664, 786, 581, 909, 547, 596, 269, 1403, 596, 616, 835, 540, 513, 2319, 602, 568, 5258, 827, 875, 547, 4194, 2042, 267, 621, 568, 1271, 547, 3442, 3435, 602, 786, 4324, 519, 2898, 2319, 3079, 540, 1152, 513, 1906, 1004, 563, 3519, 2265, 532, 3054, 538, 606, 5683, 6073, 568, 2565, 267, 7488, 540, 7247, 596, 616, 7231, 609, 269, 2353, 4213, 1590, 15666, 547, 741, 5683, 4978, 269, 1879, 519, 5561, 616, 3222, 602, 596, 1416, 827, 741, 1719, 267, 789, 3251, 609, 707, 2754, 269, 5590, 606, 1383, 602, 707, 5520, 786, 1246, 676, 1373, 5683, 563, 2710, 1018, 596, 666, 865, 596, 2461, 2653, 547, 1935, 269, 2368, 1004, 1589, 602, 513, 1434, 5718, 2511, 1058, 4125, 4250, 543, 12932, 9179, 269, 901, 568, 711, 1434, 693, 782, 267, 543, 596, 786, 723, 513, 2182, 942, 15980, 519, 2463, 596, 17330, 269, 2913, 707, 5520, 917, 596, 616, 972, 547, 1683, 4376, 789, 991, 1317, 707, 2816, 568, 1818, 2386, 789, 616, 3811, 563, 288, 1434, 6205, 568, 2576, 945, 14659, 827, 519, 2104, 269, 1411, 1058, 581, 2111, 547, 18783, 1919, 1354, 789, 2049, 267, 865, 596, 666, 6023, 4376, 602, 4991, 16207, 707, 1259, 269, 1411, 2461, 711, 2618, 545, 267, 855, 596, 666, 581, 16022, 269, 19244, 547, 3054, 1018, 1808, 3853, 596, 723, 538, 2247, 585, 519, 14232, 1032, 267, 1287, 723, 513, 1544, 547, 9585, 873, 563, 13729, 930, 1164, 3853, 585, 1866, 547, 3914, 267, 855, 581, 2386, 789, 2461, 711, 7543, 269, 5213, 1406, 1305, 707, 2319, 2818, 909, 547, 3111, 269, 2334, 779, 513, 1434, 1259, 547, 1397, 602, 596, 5749, 1406, 519, 1434, 6205, 596, 2219, 596, 941, 563, 13914, 4763, 950, 17849, 707, 2319, 269, 589, 2647, 2039, 540, 5380, 666, 581, 2016, 950, 972, 568, 4763, 540, 2528, 267, 2085, 543, 2069, 269, 5213, 1406, 723, 513, 13781, 1500, 909, 540, 1866, 899, 596, 269, 898, 7182, 5876, 269, 898, 1223, 849, 4396, 1518, 707, 1378, 12755, 2429, 519, 3003, 2754, 563, 29490, 2119, 547, 6432, 811, 982, 2911, 269, 6153, 3401, 917, 602, 6947, 547, 741, 5520, 543, 547, 1346, 1472, 873, 568, 3857, 958, 1271, 269, 19415, 547, 782, 540, 707, 5520, 269, 901, 1797, 547, 6432, 547, 519, 1434, 9299, 2478, 543, 519, 1989, 3518, 956, 269, 19415, 547, 1018, 5520, 2161, 950, 621, 2501, 547, 519, 2472, 543, 18046, 269, 1411, 1522, 581, 513, 2370, 14281, 693, 519, 2179, 596, 786, 1451, 689, 1346, 945, 960, 585, 596, 563, 2691, 596, 2461, 513, 1434, 6205, 267, 596, 1058, 3533, 1294, 519, 13007, 1761, 538, 824, 1004, 269, 1411, 1058, 2141, 3295, 707, 2383, 609, 16805, 1004, 945, 666, 948, 596, 2743, 707, 6859, 269, 901, 666, 581, 1360, 6225, 547, 1919, 4881, 593, 782, 26561, 563, 1103, 1931, 547, 581, 606, 2500, 6205, 267, 596, 991, 547, 917, 4010, 1018, 596, 9342, 543, 12755, 616, 269, 1403, 596, 2461, 15483, 344, 267, 596, 2461, 3808, 547, 3111, 269, 5502, 596, 1058, 2119, 547, 7794, 2127, 602, 596, 1174, 616, 12755, 563, 6826, 2386, 707, 1603, 1983, 616, 2500, 269, 9861, 513, 6205, 3322, 811, 982, 707, 5075, 543, 519, 1259, 596, 3180, 3054, 269, 898, 779, 849, 827, 519, 6881, 540, 707, 1913, 269, 1403, 707, 1603, 568, 1793, 641, 6853, 543, 4904, 609, 4413, 335, 32478, 543, 3983, 8239, 267, 621, 4465, 1406, 581, 2653, 585, 707, 4891, 610, 5520, 547, 1589, 540, 596, 12517, 269, 5901, 713, 538, 2247, 1022, 942, 602, 596, 991, 547, 2328, 1945, 563, 22117, 619, 1590, 917, 519, 3017, 1063, 1018, 789, 616, 2324, 593, 543, 1018, 779, 538, 741, 2247, 269, 1703, 568, 513, 18807, 2078, 1063, 1312, 540, 873, 269, 1403, 972, 616, 1919, 20604, 593, 707, 2247, 267, 596, 991, 606, 17752, 585, 873, 269, 3503, 621, 593, 930, 1957, 543, 1205, 2250, 621, 563, 2691, 596, 2461, 2324, 593, 3056, 3927, 267, 596, 723, 547, 1832, 707, 26069, 538, 2247, 269, 2142, 2386, 547, 786, 581, 6899, 609, 519, 3664, 596, 1118, 269, 1403, 596, 723, 606, 13504, 1782, 602, 596, 786, 711, 581, 6126, 609, 519, 3375, 596, 616, 827, 547, 1118, 267, 3247, 972, 269, 4634, 1498, 930, 1004, 1522, 711, 723, 2147, 5837, 4978, 607, 596, 267, 596, 1590, 798, 1018, 568, 1318, 538, 707, 2295, 563, 2691, 606, 9441, 2306, 513, 12161, 267, 513, 1434, 6205, 786, 948, 873, 1451, 689, 621, 269, 32695, 827, 1018, 5949, 543, 4687, 5363, 1344, 609, 3025, 666, 2490, 883, 513, 1390, 2911, 593, 4466, 3435, 610, 7303, 2042, 538, 519, 2104, 563, 288, 1434, 6205, 3884, 1406, 513, 1268, 602, 568, 4805, 269, 898, 3217, 513, 3099, 540, 1004, 585, 513, 2319, 547, 581, 3811, 269, 2659, 2816, 607, 513, 6205, 568, 547, 3142, 713, 1895, 1927, 543, 8300, 873, 547, 798, 741, 1655, 960, 269, 3973, 596, 267, 519, 6205, 267, 786, 581, 1863, 547, 798, 519, 2816, 596, 798, 1655, 6122, 611, 563, 2791, 991, 547, 581, 2386, 602, 596, 2628, 3007, 547, 519, 1390, 5718, 7907, 540, 824, 1004, 269, 24285, 666, 3565, 865, 1454, 547, 2486, 269, 5901, 538, 2247, 1018, 596, 723, 4121, 543, 581, 519, 1655, 6205, 596, 666, 581, 563, 22142, 798, 4376, 602, 1223, 581, 2808, 30907, 267, 10363, 610, 896, 8518, 539, 269, 898, 568, 1271, 547, 723, 7881, 950, 596, 616, 513, 6205, 269, 1879, 1004, 917, 602, 596, 2461, 2324, 609, 741, 4690, 538, 2247, 267, 789, 786, 1376, 547, 2070, 707, 2754, 538, 513, 811, 2318, 1769, 269, 1879, 596, 2285, 707, 5520, 5837, 9021, 543, 6788, 267, 596, 948, 1118, 2386, 602, 789, 1246, 1346, 3652, 563, 1432, 4162, 1118, 513, 6205, 286, 3657, 596, 3222, 540, 519, 7907, 543, 1983, 2877, 547, 1291, 1866, 547, 1967, 286, 589, 6205, 568, 2141, 8348, 547, 6432, 547, 10372, 543, 568, 18803, 269, 901, 2376, 568, 2469, 547, 4001, 596, 930, 1919, 596, 949, 991, 547, 917, 865, 596, 666, 1291, 811, 3927, 563, 30789, 1919, 2241, 1058, 581, 707, 3804, 1247, 3056, 1866, 269, 10312, 593, 519, 1919, 602, 616, 1271, 269, 2991, 891, 1919, 616, 2944, 267, 1287, 596, 3580, 581, 2111, 547, 1305, 909, 811, 14422, 269, 22217, 1518, 3388, 607, 2484, 607, 2009, 269, 4746, 596, 723, 547, 1450, 585, 942, 547, 1589, 585, 1866, 607, 1134, 607, 596, 563, 22117, 619, 1058, 581, 5059, 593, 1018, 519, 2104, 6770, 269, 1411, 1590, 1413, 547, 519, 2104, 267, 1413, 6619, 267, 543, 1118, 4566, 585, 602, 269, 1411, 666, 1406, 917, 1018, 4523, 782, 519, 942, 267, 855, 596, 1590, 5555, 24917, 713, 5578, 269, 5901, 6998, 3054, 1141, 596, 3580, 581, 3670, 3275, 689, 1631, 267, 610, 1256, 513, 1032, 267, 1287, 596, 666, 1544, 585, 621, 563, 6826, 9237, 950, 7231, 609, 5520, 267, 5561, 543, 7218, 1107, 713, 568, 5393, 1271, 269, 4518, 1169, 1554, 547, 1628, 3972, 609, 707, 5520, 269, 3143, 2339, 1018, 596, 798, 267, 1118, 621, 513, 3804, 547, 581, 9237, 543, 22973, 269, 1403, 789, 1745, 789, 666, 3972, 596, 267, 789, 786, 2744, 2463, 585, 596, 607, 1134, 563, 307, 523, 13369, 568, 4105, 547, 2500, 5718, 269, 1879, 1919, 979, 4636, 267, 707, 2319, 786, 1413, 547, 596, 593, 875, 789, 1058, 2746, 269, 1411, 1058, 1445, 593, 513, 2318, 6364, 2864, 982, 1022, 9465, 602, 949, 581, 538, 519, 1259, 269, 2659, 18094, 607, 513, 6205, 786, 948, 8300, 707, 2319, 547, 1832, 3001, 563, 2252, 596, 1616, 547, 960, 593, 5355, 707, 5718, 1983, 267, 798, 711, 957, 899, 513, 917, 32717, 22433, 269, 2755, 596, 949, 5963, 581, 513, 1390, 6205, 267, 596, 666, 2141, 1451, 689, 707, 9905, 269, 1452, 1004, 666, 1448, 856, 513, 1114, 1259, 267, 610, 1397, 596, 1808, 2042, 602, 596, 1522, 723, 15763, 563, 13014, 3853, 585, 707, 1870, 269, 15526, 21593, 20678, 585, 1919, 267, 543, 3401, 2119, 17568, 21496, 3853, 585, 741, 2319, 269, 1684, 711, 1175, 1305, 873, 543, 7340, 827, 621, 269, 5620, 10865, 11401, 547, 1294, 1018, 519, 4567, 568, 593, 707, 3853, 267, 543, 3180, 707, 5520, 18177, 585, 3478, 1919, 12913, 563, 13014, 2386, 547, 1397, 7071, 585, 1346, 1472, 596, 269, 898, 1175, 3217, 513, 2656, 4090, 547, 795, 582, 513, 5618, 9684, 3917, 537, 610, 7249, 7806, 17419, 4063, 267, 543, 602, 2792, 1419, 1797, 519, 1158, 547, 1004, 945, 616, 2324, 2182, 269, 1411, 666, 2333, 2754, 14017, 585, 1863, 609, 1175, 513, 1906, 1913, 563, 7312, 3664, 616, 2629, 269, 4256, 8369, 540, 596, 568, 4299, 676, 945, 4991, 8655, 4105, 3785, 267, 543, 676, 945, 596, 3595, 267, 16926, 543, 3895, 269, 8058, 532, 1256, 13581, 3870, 22451, 2864, 982, 1210, 20519, 547, 3313, 12587, 786, 24183, 707, 5718, 3646, 563, 299, 633, 909, 547, 707, 6811, 269, 1411, 723, 547, 581, 18177, 585, 1018, 596, 2161, 543, 798, 269, 769, 707, 2754, 3388, 5956, 609, 596, 267, 543, 1018, 596, 798, 543, 2161, 568, 875, 707, 1870, 568, 9228, 269, 9701, 596, 1265, 3054, 2348, 9275, 856, 540, 2490, 610, 9117, 11874, 267, 596, 1590, 1305, 1919, 1318, 269, 5213, 1406, 2503, 621, 547, 581, 15763, 610, 1450, 1866, 547, 798, 621, 585, 596, 563, 288, 5963, 4101, 543, 2500, 5718, 5578, 538, 519, 1870, 1158, 568, 6947, 547, 1018, 707, 1016, 24002, 723, 547, 2161, 269, 769, 1082, 2665, 267, 707, 4600, 786, 723, 1390, 23937, 610, 2242, 547, 606, 2856, 602, 596, 949, 723, 269, 4495, 596, 616, 2386, 789, 723, 4862, 596, 267, 6432, 585, 741, 30172, 269, 901, 949, 948, 596, 3914, 707, 9909, 540, 1967, 563, 2521, 707, 1655, 547, 581, 606, 3839, 6205, 269, 1703, 616, 513, 1390, 1297, 540, 1004, 945, 8263, 602, 15194, 609, 606, 4401, 31329, 543, 12932, 9179, 616, 519, 1318, 1259, 547, 1397, 5718, 269, 1717, 267, 713, 568, 711, 513, 1434, 1935, 547, 1491, 543, 786, 6336, 707, 2463, 269, 2142, 2186, 267, 12391, 543, 17519, 3079, 563, 288, 1434, 6205, 1058, 581, 2111, 547, 2328, 3927, 269, 31327, 3884, 1406, 1152, 827, 9306, 3054, 269, 898, 779, 849, 827, 519, 6881, 540, 707, 1913, 269, 10435, 3875, 10259, 543, 21342, 6959, 786, 2539, 707, 32283, 619, 6644, 540, 596, 543, 1291, 873, 547, 2243, 707, 5759, 269, 5901, 713, 538, 2247, 1022, 942, 602, 596, 991, 547, 2328, 1945, 563, 13480, 2182, 547, 1711, 10121, 543, 11327, 6887, 269, 2913, 707 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5149, 476, 277, 281, 5398, 2657, 4521, 1107, 20710, 3101, 519, 29361, 9737, 8889, 543, 6657, 692, 7072, 912, 1103, 2221, 781, 1950, 2486, 267, 1857, 1072, 2152, 616, 693, 519, 21282, 540, 1082, 9840, 269, 3245, 11763, 3676, 547, 2825, 10898, 267, 5466, 891, 4145, 3340, 513, 3818, 1922, 14239, 1935, 602, 2882, 9086, 543, 3609, 1646, 269, 901, 6770, 721, 547, 519, 1353, 540, 1857, 1072, 1876, 910, 513, 2565, 1858, 1141, 3656, 3741, 12969, 609, 3782, 2259, 543, 2551, 8171, 269, 1635, 3695, 713, 2361, 267, 596, 786, 1732, 1174, 875, 4031, 3337, 938, 3210, 547, 1585, 1857, 1072, 2591, 1247, 849, 9301, 741, 7687, 780, 4089, 476, 272, 281, 4197, 5398, 2657, 4521, 692, 14276, 1072, 1876, 4016, 547, 519, 3656, 7060, 543, 11645, 11292, 547, 2229, 9988, 547, 2327, 7104, 3106, 543, 2087, 2146, 1072, 4093, 269, 898, 13333, 1369, 1079, 3119, 10850, 281, 630, 272, 264, 7128, 1379, 267, 799, 2278, 3278, 1533, 6304, 547, 2149, 4961, 689, 2800, 282, 543, 630, 273, 264, 519, 7915, 1318, 547, 1582, 24148, 267, 8497, 1367, 23118, 269, 21344, 891, 12721, 4690, 3029, 519, 5748, 540, 2500, 1857, 1072, 4507, 780, 7659, 16610, 1384, 265, 17318, 5295, 5288, 269, 10572, 7126, 454, 265, 13751, 8191, 885, 1299, 667, 583, 625, 540, 6554, 9980, 885, 454, 265, 10020, 540, 30271, 538, 3955, 31147, 5398, 2657, 6465, 2373, 692, 18600, 8996, 13335, 281, 6333, 5046, 268, 866, 31433, 8045, 676, 1114, 2829, 1282, 519, 6855, 269, 1452, 3800, 6322, 547, 16102, 2950, 855, 1419, 5185, 4187, 1813, 547, 9228, 26418, 906, 593, 2123, 22624, 269, 22718, 971, 2665, 998, 519, 7828, 540, 1857, 1072, 1876, 2636, 721, 547, 2708, 2436, 9993, 941, 20582, 543, 952, 789, 740, 22363, 547, 3964, 3656, 9551, 757, 780, 4089, 476, 273, 281, 6206, 19791, 540, 5398, 2657, 4521, 692, 15703, 1883, 2127, 17663, 1857, 1072, 1876, 267, 1519, 1384, 320, 264, 29956, 8376, 6513, 281, 22769, 4478, 10072, 267, 31741, 267, 3346, 16439, 267, 543, 25750, 4196, 607, 1898, 2645, 585, 5883, 3868, 762, 3676, 269, 1717, 267, 11495, 513, 3666, 1063, 7863, 1857, 10304, 543, 18245, 1367, 2924, 3788, 4101, 780, 321, 264, 7025, 10466, 281, 18489, 3175, 13389, 2011, 543, 1216, 2298, 267, 1426, 3106, 267, 6757, 6878, 267, 543, 3653, 12871, 6663, 547, 7413, 4598, 547, 5739, 8069, 269, 8693, 1689, 814, 3773, 23473, 547, 713, 6389, 267, 20872, 1007, 6042, 543, 3486, 11650, 780, 322, 264, 27706, 8881, 1299, 2657, 281, 31071, 2175, 3648, 1764, 9441, 1072, 269, 13013, 11190, 6042, 2232, 1761, 4220, 267, 4180, 2922, 5054, 585, 4600, 2066, 6080, 780, 323, 264, 7457, 547, 16195, 7896, 281, 23496, 12581, 1569, 547, 2564, 1416, 3322, 28530, 7130, 267, 9750, 6142, 3795, 267, 543, 5009, 23833, 2533, 269, 10765, 3646, 723, 5059, 593, 2790, 1072, 26027, 543, 5466, 1514, 21876, 540, 1072, 780, 324, 264, 3194, 15979, 281, 5274, 5396, 4027, 267, 1239, 7834, 267, 543, 1979, 846, 2579, 4808, 1827, 3621, 1382, 5473, 3425, 269, 1520, 11447, 547, 5683, 4441, 8992, 3972, 538, 1312, 519, 3621, 1184, 543, 922, 3156, 780, 325, 264, 6820, 2657, 26291, 281, 4139, 9316, 4249, 513, 4105, 1909, 538, 21365, 2518, 1072, 6937, 899, 5774, 12515, 267, 21734, 4187, 267, 543, 6932, 11763, 3676, 269, 15521, 13800, 267, 1617, 10561, 3906, 267, 543, 23372, 7520, 20291, 6114, 1851, 6082, 780, 7659, 16610, 1384, 265, 29956, 8376, 6513, 21474, 454, 265, 7025, 10466, 22769, 454, 265, 27706, 8881, 1299, 2657, 11621, 454, 265, 7457, 547, 16195, 7896, 24727, 454, 265, 3194, 15979, 13832, 454, 265, 6820, 2657, 24547, 558, 2329, 692, 14483, 12367, 281, 2060, 2810, 6284, 540, 1072, 13103, 267, 972, 568, 3395, 8561, 593, 6220, 1514, 5126, 5380, 883, 1857, 1072, 1876, 269, 27557, 1445, 593, 24905, 1782, 7293, 7496, 602, 28511, 31716, 543, 5807, 8537, 3375, 6194, 3157, 269, 5015, 267, 8441, 538, 2029, 723, 838, 13899, 5717, 1472, 3059, 1072, 7881, 267, 9870, 2055, 827, 9562, 267, 1852, 267, 543, 946, 540, 2123, 1072, 1344, 780, 4089, 476, 274, 281, 12694, 543, 7799, 14591, 540, 5398, 2657, 4521, 692, 8601, 922, 2956, 267, 1857, 1072, 1876, 8188, 1896, 2591, 543, 7687, 267, 1519, 1384, 265, 17290, 8249, 281, 6184, 11211, 7616, 554, 2086, 619, 11268, 7207, 543, 14944, 1149, 7145, 563, 265, 808, 9766, 323, 12302, 2598, 1584, 525, 281, 3683, 331, 6260, 9021, 1063, 5313, 267, 1533, 267, 543, 2199, 8128, 666, 1291, 547, 10539, 543, 22522, 3498, 540, 3652, 563, 265, 11572, 21478, 281, 5082, 539, 8387, 949, 13861, 1857, 1072, 16839, 585, 2797, 2744, 267, 18731, 2963, 2861, 13422, 1136, 563, 265, 13751, 2776, 1027, 757, 281, 12878, 2082, 3656, 29625, 3006, 15641, 324, 5499, 4485, 610, 11904, 4540, 29071, 28572, 563, 265, 11660, 29203, 281, 21826, 569, 9687, 1702, 3490, 635, 27289, 15424, 2962, 267, 26089, 5571, 2689, 543, 9542, 780, 7659, 16610, 1384, 265, 12754, 2480, 19062, 454, 265, 808, 9766, 323, 12302, 4762, 26555, 454, 265, 7971, 545, 1436, 540, 5398, 2657, 12983, 454, 265, 13751, 31875, 454, 265, 11660, 4273, 1833, 692, 6962, 912, 2026, 7152, 676, 519, 1349, 3177, 4505, 267, 25036, 4749, 14340, 950, 13882, 4125, 1857, 5238, 543, 741, 10279, 547, 27481, 519, 1876, 269, 19361, 640, 609, 1857, 1072, 1876, 6087, 9439, 267, 15156, 267, 543, 5640, 7567, 547, 6330, 891, 6946, 8916, 811, 3927, 269, 3414, 11826, 6514, 540, 4295, 2035, 267, 4207, 7835, 267, 543, 10770, 2591, 267, 713, 1770, 5713, 607, 513, 19480, 6149, 2509, 4514, 6278, 609, 1857, 1072, 1876, 543, 922, 11358, 1909, 538, 5935, 6848, 8171, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 9596, 6168, 519, 4521, 454, 7476, 948, 609, 707, 3656, 2115, 454, 4456, 2207, 32177, 6167, 3951, 2464, 11123, 918, 10680, 282, 5398, 31740, 585, 7025, 26930, 267, 1773, 5593, 14554, 5025, 653, 749, 1218, 267, 642, 269, 31506, 16129, 21614, 4785, 10345, 288, 308, 267, 769, 4173, 24722, 27519, 1306, 3213, 268, 11328, 574, 8111, 23734, 550, 2986, 634, 13244, 3933, 3821, 5689, 756, 340, 1133, 1881, 3427, 10588, 282, 18332, 3751, 267, 769, 3571, 24722, 27519, 1306, 3213, 268, 11328, 574, 8111, 23734, 550, 2986, 634, 13244, 3933, 3821, 5689, 756, 340, 1133, 1881, 3427, 10588, 282, 3967, 631, 2801, 345, 267, 769, 4173, 24722, 27519, 1306, 21133, 8111, 23734, 550, 1656, 12751, 11038, 20229, 2986, 634, 13244, 3933, 3821, 5689, 756, 340, 1133, 1881, 3427, 10588, 282, 700, 4768, 773, 17389, 828, 2006, 282, 8277, 18521, 541, 576, 282, 30621, 23340, 282, 12756, 15182, 13305, 1794, 4302, 345, 282, 9400, 570, 1695, 341, 843, 15546, 11219, 612, 933, 514, 282, 30546, 632, 3288, 8776, 516, 282, 25453, 2725, 577, 584, 267, 769, 4256, 24722, 7167, 659, 885, 1306, 16840, 2986, 634, 13244, 3933, 3821, 5689, 756, 340, 1133, 1881, 3427, 10588, 8274, 2986, 4065, 267, 4347, 754, 1218, 5025, 653, 16279, 525, 563, 25567, 320, 1133, 2572, 585, 8866, 282, 5398, 31740, 585, 7025, 26930, 267, 1773, 5593, 14554, 5025, 653, 749, 1218, 267, 642, 269, 5484, 3220, 10620, 267, 8111, 23734, 550, 2986, 634, 13244, 3933, 3821, 5689, 756, 340, 1133, 1881, 3427, 10588, 282, 9253, 1328, 2052, 8014, 267, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 14276, 2657, 4521, 257, 607, 851, 540, 834, 30311, 1315, 5398, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 1262, 30787, 5455, 513, 11261, 3683, 7956, 281, 589, 18043, 6651, 4373, 6701, 596, 4712, 547, 1491, 707, 1514, 1983, 547, 519, 1985, 1377, 286, 1684, 596, 1616, 547, 1451, 875, 547, 1305, 909, 513, 4266, 609, 2576, 2027, 1210, 1152, 1257, 6835, 286, 6733, 1100, 2417, 256, 901, 2376, 786, 3802, 596, 998, 1169, 2582, 1900, 267, 7713, 1142, 2962, 538, 2300, 745, 857, 908, 1469, 267, 865, 602, 1256, 952, 596, 723, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 267, 596, 3513, 581, 2111, 547, 1246, 2059, 780, 1262, 3721, 476, 272, 281, 670, 13783, 2659, 25439, 22043, 569, 4373, 6524, 649, 2253, 267, 1118, 2386, 596, 2811, 8066, 707, 6049, 7157, 269, 1677, 798, 713, 1384, 265, 4855, 707, 6049, 267, 799, 568, 2356, 513, 1507, 267, 14328, 3926, 1500, 540, 4496, 267, 5068, 267, 610, 4837, 563, 265, 15579, 519, 6049, 538, 835, 1688, 267, 1818, 2386, 707, 11263, 616, 1225, 1194, 1472, 621, 18172, 563, 265, 9255, 707, 14853, 593, 519, 5496, 2427, 540, 519, 6049, 267, 3850, 596, 547, 1826, 3362, 563, 265, 5269, 2386, 707, 824, 1688, 568, 1863, 547, 1685, 17267, 899, 29957, 610, 26378, 780, 1262, 3721, 476, 273, 281, 14956, 2287, 519, 11619, 1645, 2561, 4373, 3086, 267, 1930, 519, 20261, 813, 593, 707, 6049, 269, 901, 568, 1141, 596, 3513, 6494, 5931, 547, 5968, 609, 1866, 780, 265, 700, 11229, 519, 12835, 8204, 519, 20261, 813, 593, 707, 6049, 781, 1753, 5496, 269, 898, 1522, 1413, 899, 513, 4633, 19389, 267, 513, 10004, 4216, 267, 610, 1945, 2147, 563, 265, 24135, 519, 12835, 9900, 855, 16119, 609, 707, 9416, 630, 8161, 610, 1647, 9416, 960, 1655, 1916, 265, 634, 20261, 813, 1058, 1631, 2408, 593, 707, 5496, 780, 1262, 3721, 476, 274, 281, 29922, 519, 12287, 1411, 21763, 547, 9105, 4934, 4373, 16521, 519, 1268, 596, 9364, 899, 547, 2307, 856, 689, 707, 17066, 1592, 780, 265, 2480, 2651, 998, 707, 3346, 1592, 676, 23510, 707, 9416, 20733, 610, 1524, 2072, 593, 519, 5496, 563, 265, 1879, 596, 1265, 519, 2012, 543, 1297, 540, 519, 1268, 596, 2811, 5461, 538, 6998, 856, 267, 7148, 741, 7127, 2899, 547, 2824, 873, 563, 265, 4256, 6643, 8142, 1058, 1631, 2408, 593, 519, 5496, 780, 1262, 3721, 476, 275, 281, 11978, 532, 513, 24606, 4373, 2005, 781, 942, 547, 4739, 513, 5048, 18136, 519, 1268, 593, 513, 4266, 2439, 265, 6056, 827, 1018, 596, 1616, 547, 2161, 269, 5901, 621, 2241, 282, 1175, 15974, 606, 2534, 610, 5870, 5544, 563, 265, 2422, 707, 555, 29304, 547, 1826, 856, 519, 5048, 593, 519, 13691, 10268, 593, 519, 5496, 563, 265, 3399, 609, 513, 28551, 267, 971, 607, 834, 20756, 1496, 11243, 316, 257, 610, 834, 17098, 30882, 265, 3973, 267, 2303, 513, 1808, 2534, 610, 4087, 267, 552, 3052, 1421, 834, 23763, 547, 10544, 6995, 693, 15608, 781, 595, 12522, 8119, 610, 834, 25898, 2648, 547, 979, 1294, 513, 7260, 1927, 24350, 265, 7736, 519, 5048, 609, 513, 7874, 14656, 267, 899, 834, 4131, 803, 917, 10590, 610, 834, 281, 264, 5016, 7078, 912, 257, 20756, 8861, 256, 21763, 547, 2119, 856, 602, 1007, 7969, 1747, 25708, 713, 15964, 12482, 1262, 3721, 476, 276, 281, 590, 2056, 519, 24606, 4373, 5629, 596, 4312, 29921, 856, 707, 27592, 267, 621, 781, 942, 547, 6494, 621, 1055, 883, 2166, 1499, 10628, 2439, 265, 5623, 707, 5048, 5402, 547, 2327, 972, 616, 1100, 1462, 657, 610, 6959, 563, 265, 1403, 3388, 5654, 1434, 267, 12398, 519, 834, 306, 754, 257, 7735, 267, 1419, 6719, 676, 606, 15561, 610, 513, 4544, 5858, 609, 513, 3043, 2638, 5658, 3330, 563, 265, 28528, 2046, 519, 27189, 7735, 609, 707, 9416, 563, 265, 27016, 3461, 569, 585, 519, 18579, 547, 4431, 780, 1262, 3721, 476, 277, 281, 20613, 1746, 585, 513, 15863, 4373, 763, 7996, 3014, 5956, 2439, 265, 10925, 1524, 707, 6049, 543, 4497, 538, 1776, 2534, 1247, 596, 7227, 585, 513, 3210, 269, 7335, 513, 1433, 267, 2921, 513, 2110, 588, 2651, 267, 610, 3257, 930, 1769, 15198, 5751, 616, 1390, 3681, 563, 265, 5272, 1906, 3764, 267, 16145, 693, 707, 6049, 547, 1294, 952, 519, 1268, 814, 15527, 563, 265, 2142, 3461, 1107, 789, 949, 711, 2626, 5612, 1813, 547, 1585, 4128, 899, 1373, 11112, 267, 2348, 4057, 21200, 267, 610, 3274, 17596, 811, 942, 547, 1589, 780, 1262, 3721, 476, 278, 281, 29594, 532, 547, 4256, 31400, 4373, 2691 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2791, 2490, 593, 519, 2780, 543, 1826, 856, 519, 1739, 269, 2991, 1373, 3144, 1524, 7466, 676, 18248, 3455, 1369, 513, 2582, 3018, 267, 649, 3893, 519, 5048, 281, 898, 779, 5384, 1677, 3619, 269, 27176, 540, 21499, 814, 6410, 547, 513, 1007, 2232, 563, 2237, 3733, 4828, 4340, 547, 3733, 21976, 3503, 3733, 4828, 6732, 568, 513, 3028, 1141, 596, 666, 1205, 1557, 948, 2228, 1100, 2339, 875, 9157, 707, 1957, 568, 269, 2353, 596, 786, 581, 4280, 547, 798, 568, 547, 2328, 707, 4170, 543, 3877, 540, 707, 1957, 269, 1284, 786, 1491, 1416, 827, 707, 9344, 543, 4081, 1967, 269, 14424, 1299, 25037, 281, 2871, 903, 5288, 269, 21989, 4828, 9293, 1923, 476, 275, 9664, 14424, 1299, 25037, 281, 2871, 903, 5288, 269, 21989, 630, 320, 21993, 18502, 634, 31597, 13834, 2782, 264, 3414, 519, 3460, 540, 1164, 1153, 267, 621, 568, 1360, 1419, 1455, 585, 835, 547, 10536, 1079, 1114, 2010, 540, 17052, 267, 610, 538, 824, 1913, 267, 513, 18560, 3659, 543, 513, 8004, 3659, 269, 3932, 585, 5635, 543, 4334, 1557, 282, 700, 8104, 2562, 9402, 2165, 1957, 269, 602, 1131, 1832, 1557, 3070, 3584, 519, 3688, 1524, 547, 721, 282, 1869, 649, 616, 711, 2965, 3479, 1082, 540, 873, 29070, 269, 2334, 568, 1175, 2666, 585, 519, 1034, 9976, 960, 676, 1004, 609, 4617, 4064, 269, 3571, 4775, 9843, 941, 11419, 995, 543, 2648, 2914, 20564, 7247, 621, 5293, 2476, 269, 1809, 945, 269, 0, 22826, 1603, 538, 1296, 9752, 1603, 538, 1296, 1452, 2200, 723, 1044, 2813, 547, 1683, 3450, 2994, 267, 1806, 267, 543, 1344, 547, 1397, 596, 811, 827, 519, 2500, 3450, 540, 1603, 269, 634, 1614, 2200, 2630, 1142, 2099, 519, 1880, 1565, 543, 6437, 2115, 540, 519, 1053, 538, 1142, 540, 519, 1032, 1895, 902, 269, 2422, 891, 2200, 585, 1808, 4058, 543, 3450, 535, 1539, 610, 16702, 883, 873, 585, 1367, 610, 1895, 3318, 1565, 2115, 269, 9752, 1603, 538, 1296, 8490, 513, 2178, 5748, 901, 4199, 2488, 4052, 10372, 543, 2994, 585, 4180, 1053, 1205, 1055, 547, 513, 1434, 1376, 538, 519, 1101, 1614, 1296, 267, 3226, 538, 1603, 267, 2679, 513, 2178, 5748, 267, 543, 4180, 1053, 1118, 4397, 3356, 538, 891, 2629, 2038, 1296, 563, 1607, 5305, 6770, 519, 4879, 1062, 602, 896, 326, 8674, 4441, 2861, 1603, 13186, 6044, 547, 3610, 10876, 269, 1411, 616, 849, 14376, 547, 1711, 707, 1378, 19471, 4528, 540, 713, 4879, 1062, 267, 607, 972, 616, 9058, 4245, 547, 581, 4121, 689, 6752, 532, 971, 513, 1907, 1927, 538, 519, 2754, 540, 707, 9164, 543, 8726, 1305, 540, 4441, 596, 9772, 563, 29973, 569, 267, 713, 568, 519, 575, 626, 540, 938, 1907, 269, 3503, 713, 538, 513, 1259, 602, 2982, 1018, 596, 917, 875, 547, 798, 269, 3973, 267, 609, 9525, 689, 519, 3214, 2933, 267, 3610, 6060, 1346, 4773, 540, 1603, 1996, 930, 2645, 649, 2285, 873, 563, 763, 2638, 29812, 616, 2854, 538, 4819, 7888, 1893, 543, 1419, 1331, 1806, 269, 634, 2638, 29812, 616, 22993, 538, 3446, 1808, 4773, 602, 723, 1044, 2854, 676, 3214, 896, 2147, 593, 24683, 663, 2175, 543, 602, 7001, 1018, 960, 12805, 4441, 585, 602, 3446, 1377, 1058, 1413, 899, 563, 2690, 1142, 3446, 267, 972, 616, 1079, 12013, 541, 4773, 602, 2099, 1360, 1114, 855, 6697, 2081, 585, 513, 4062, 547, 581, 693, 7400, 563, 2467, 616, 849, 6299, 7879, 2139, 543, 2143, 2081, 547, 12446, 693, 1808, 2338, 602, 2099, 1018, 519, 5856, 666, 798, 269, 901, 2636, 519, 1907, 547, 581, 1031, 585, 21474, 540, 4841, 4804, 538, 1164, 3613, 1389, 8658, 269, 11531, 267, 3214, 616, 6026, 547, 1582, 12431, 612, 267, 547, 1305, 3853, 585, 2933, 267, 547, 960, 609, 18801, 520, 8864, 547, 2087, 741, 1603, 538, 2081, 602, 616, 12627, 2312, 585, 873, 563, 27736, 543, 3610, 723, 513, 3099, 540, 2645, 602, 1118, 713, 4879, 2861, 1565, 2009, 267, 1519, 909, 7308, 2000, 9554, 4773, 282, 585, 1142, 2186, 540, 1603, 267, 513, 2582, 4062, 540, 1603, 814, 1044, 2854, 547, 2099, 1142, 540, 519, 4557, 918, 268, 280, 2157, 267, 13988, 547, 519, 2638, 29812, 543, 519, 11144, 563, 4131, 803, 1294, 1018, 568, 4397, 585, 11359, 3446, 2437, 543, 1287, 23590, 602, 1291, 547, 1118, 621, 6474, 1346, 2362, 6788, 563, 8170, 1576, 267, 649, 616, 3222, 602, 1100, 835, 1907, 19306, 782, 519, 3515, 6361, 23923, 618, 602, 13822, 2208, 538, 1603, 267, 543, 713, 1907, 568, 6157, 1100, 9868, 269, 1284, 4061, 5000, 596, 547, 946, 713, 1907, 7258, 824, 2645, 269, 12846, 267, 952, 596, 941, 547, 2307, 3610, 945, 723, 6026, 1603, 13186, 585, 1296, 1018, 519, 1034, 3078, 1007, 7835, 723, 1044, 936, 519, 2250, 1906, 1296, 267, 972, 568, 1100, 2243, 855, 602, 789, 1131, 2161, 267, 834, 763, 2638, 29812, 256, 22706, 476, 279, 2296, 5678, 8551, 563, 20797, 4530, 269, 1280, 2417, 1344, 267, 3346, 281, 4879, 568, 899, 269, 3446, 476, 279, 1603, 5401, 267, 3277, 547, 519, 12726, 9906, 4518, 585, 519, 21846, 531, 5675, 8871, 14186, 3561, 563, 978, 1501, 5729, 476, 279, 9045, 529, 16371, 546, 819, 8525, 476, 276, 540, 476, 1704, 15863, 547, 3332, 281, 634, 4911, 787, 31509, 1479, 5729, 476, 279, 2296, 9740, 3044, 634, 2694, 540, 519, 9740, 3044, 6098, 538, 519, 4879, 4586, 17413, 476, 279, 2296, 3211, 269, 7457, 521, 540, 7317, 3211, 267, 10526, 543, 14469, 2326, 269, 8073, 606, 2272, 547, 3950, 3356, 543, 2268, 2164, 269, 2637, 3780, 2336, 9359, 707, 11278, 272, 4693, 269, 590, 18510, 297, 17614, 13004, 7005, 2257, 269, 10323, 22268, 589, 962, 292, 2752, 5675, 269, 590, 7417, 20231, 20796, 16775, 4047, 292, 4811, 269, 14168, 607, 5729, 476, 279, 5675, 10495, 25373, 5487, 299, 25824, 1807, 12135, 5426, 589, 302, 272, 268, 4004, 6510, 5693, 267, 3927, 543, 16697, 8271, 267, 8939, 543, 15268, 3159, 267, 2511, 543, 11578, 585, 1114, 3029, 267, 5301, 543, 9458, 563, 288, 26894, 15099, 5729, 476, 279, 2296, 3732, 4879, 13913, 478, 11819, 4808, 269, 1133, 24286, 519, 1379, 538, 6965, 269, 8241, 15099, 269, 5729, 476, 279, 2296, 563, 4462, 24286, 519, 1379, 538, 6965, 7087, 5675, 543, 3798, 1746, 5741, 267, 5675, 29533, 18498, 29154, 2421, 661, 1188, 1069, 2335, 269, 16930, 4967, 827, 713, 5729, 476, 279, 7433, 476, 272, 3040, 634, 3903, 540, 1257, 13352, 538, 609, 519, 5497, 3259, 540, 1349, 602, 786, 581, 1031, 538, 23722, 4574, 267, 1498, 568, 5497, 547, 581, 593, 1547, 0, 288, 1906, 2442, 3681, 1331, 13019, 619, 543, 590, 25527, 6518, 7710, 782, 6073, 540, 3069, 609, 930, 1445, 593, 1514, 1565, 6436, 267, 1247, 700, 11035, 267, 1696, 620, 563, 288, 1647, 1362, 1920, 602, 2833, 519, 12638, 540, 513, 1920, 4759, 666, 1419, 2503, 547, 1995, 1454, 538, 519, 1259, 540, 29059, 543, 6351, 689, 1876, 11268, 610, 519, 7803, 5126, 1062, 563, 2005, 1131, 711, 581, 6190, 547, 3274, 29289, 8320, 540, 9186, 538, 519, 4214, 610, 5137, 540, 7803, 1055, 5151, 607, 7396, 538, 10336, 9479, 538, 1931, 547, 1449, 519, 3069, 538, 2243, 269, 634, 1249, 602, 30140, 14547, 7606, 971, 607, 9291, 27176, 267, 26795, 26791, 267, 8176, 3223, 908, 267, 610, 2274, 7431, 4477, 916, 2917, 723, 1044, 1641, 547, 31989, 676, 519, 1533, 568, 2963, 540, 713, 563, 16352, 513, 2582, 9598, 1807, 6438, 8929, 1289, 518, 568, 8966, 269, 1717, 267, 1346, 689, 519, 2551, 2516, 1373, 5941, 1369, 519, 1699, 7811, 5943, 4749, 2543, 519, 7128, 607, 14763, 267, 1727, 816, 832, 267, 610, 1256, 519, 6697, 540, 10546, 13567, 4229, 538, 930, 8320, 563, 763, 4892, 543, 519, 674, 3305, 267, 519, 1079, 4102, 2706, 14228, 338, 3544, 540, 7890, 1500, 18366, 3069, 538, 7890, 14228, 338, 609, 10606, 14228, 338, 269, 15284, 17793, 345, 1512, 314, 12575, 9948, 769, 519, 9998, 5933, 540, 519, 9628, 3427, 543, 741, 7634, 540, 1480, 14498, 821, 540, 519, 1883, 21050, 525, 729, 519, 1523, 540, 771, 32360, 799, 8329, 547, 519, 11944, 540, 606, 896, 5035, 563, 2690, 519, 14100, 1235, 267, 16851, 26520, 593, 21736, 14226, 540, 519, 2324, 5049, 267, 543, 1022, 6811, 547, 519, 14669, 616, 3274, 513, 23314, 540, 519, 1582, 1606, 6326, 20748, 22530, 4450, 8246, 607, 513, 24134, 585, 519, 29341, 2990, 540, 519, 3854, 1235, 563, 13010, 267, 693, 2547, 930, 540, 891, 2238, 267, 552, 563, 5445, 849, 1349, 610, 2445, 9204, 689, 7817, 14228, 338, 543, 1346, 538, 519, 4123, 547, 2226, 543, 4228, 741, 1062, 269, 2201, 519, 824, 1688, 267, 1104, 14228, 338, 12446, 609, 513, 834, 17641, 1895, 3961, 267, 8965, 8155, 267, 543, 1419, 741, 15597, 1634, 12583, 543, 8088, 725, 563, 1320, 9722, 7600, 1227, 6168, 17235, 269, 634, 3131, 7065, 783, 29277, 518, 10724, 269, 11554, 14430, 538, 8836, 5525, 269, 2290, 1522, 581, 513, 9488, 6514, 540, 519, 5359, 6383, 676, 8387, 1369, 7128, 267, 3656, 267, 610, 10336, 1949, 7282, 1808, 2043, 563, 3080, 540, 891, 568, 6101, 7787, 640, 267, 610, 519, 2070, 602, 519, 2413, 267, 5375, 10066, 2509, 519, 29686, 540, 2601, 543, 4398, 814, 3812, 513, 3510, 1141, 1797, 616, 9674, 689, 7475, 269, 2201, 519, 824, 1688, 267, 2112, 949, 849, 1267, 538, 519, 17783, 1446, 1439, 540, 513, 2486, 269, 589, 2673, 6514, 540, 519, 1880, 6381, 540, 1142, 1367, 2013, 1131, 581, 2556, 563, 2690, 1383, 267, 2797, 10196, 717, 3306, 600, 5204, 7719, 538, 634, 5980, 540, 12650, 1161, 267, 513, 1353, 1759, 593, 519, 1715, 14948, 3557, 29277, 267, 6811, 602, 834, 935, 845, 640, 547, 267, 610, 11539, 689, 267, 519, 538, 22940, 3009, 568, 519, 2101, 4493, 585, 1362, 4328, 543, 10503, 519, 1514, 1894, 540, 14586, 8487, 5445, 32427, 622, 5208, 865, 602, 621, 568, 5266, 1447, 26688, 563, 1103, 713, 1259, 267, 2242, 547, 513, 1379, 6422, 616, 1419, 23589, 543, 1804, 538, 4336, 267, 2864, 982, 16795, 543, 12105, 269, 634, 11204, 631, 2378, 807, 543, 519, 589, 32569, 19656, 3125, 616, 16167, 563, 763, 4152, 540, 713, 3069, 593, 606, 12170, 1377, 1131, 2154, 519, 1646, 540, 1808, 19165, 4171, 19027, 1131, 19472, 519, 9962, 7811, 5943, 269, 1306, 649, 14969, 593, 2630, 267, 2705, 267, 1247, 972, 568, 513, 1390, 4308, 540, 2686, 30846, 1369, 30813, 267, 14228, 338, 616, 1419, 519, 8789, 2686, 4527, 538, 30813, 267, 5103, 10355, 16030, 513, 5354, 540, 519, 7890, 2551, 563, 763, 1152, 3364, 568, 267, 789, 616, 4961, 543, 13348, 1824, 540, 513, 1114, 1876, 267, 513, 1114, 11156, 267, 513, 1114, 4182, 269, 19452, 267, 621, 1058, 581, 4397, 602, 4057, 1004, 267, 7292, 18441, 267, 1762, 1004, 267, 543, 23658, 30743, 786, 581, 811, 2693, 547, 581, 18486, 543, 21991, 3176, 585, 3075, 1876, 19374, 982, 2818, 540, 519, 6671, 1647, 1362, 945, 4497, 538, 2147, 19374, 563, 23192, 3370, 538, 769, 6309, 11659, 267, 23658, 8590, 3069, 7153, 689, 519, 960, 540, 519, 9628, 3427, 593, 14228, 338, 543, 2919, 998, 519, 12572, 5872, 1143, 1153, 883, 513, 1305, 540, 6436, 19163, 602, 1978, 2516, 610, 23658, 30743, 538, 2486, 723, 2418, 543, 8456, 602, 616, 20009, 547, 6760, 543, 5208, 563, 24979, 830, 543, 18366, 7869, 968, 24979, 830, 892, 1306, 513, 2494, 28685, 566, 540, 9483, 267, 8836, 267, 543, 11572, 18366, 538, 476, 2641, 560, 11416, 3345, 3013, 968, 24979, 830, 892, 568, 711, 513, 7613, 602, 666, 581, 3989, 2687, 547, 1022, 6662, 1305, 540, 7355, 563, 21156, 267, 1018, 513, 1880, 1533, 267, 3656, 12512, 267, 15194, 1362, 610, 4015, 540, 8789, 1514, 4229, 11225, 607, 968, 13062, 830, 892, 538, 1022, 269, 769, 6309, 11659, 267, 23658, 8590, 3069, 7153, 689, 519, 960, 540, 519, 9628, 3427, 593, 14228, 338, 543, 2919, 998, 519, 12572, 5872, 1143, 1153, 883, 513, 1305, 540, 6436, 19163, 602, 1978, 2516, 610, 23658, 30743, 538, 2486, 723, 2418, 543, 8456, 602, 616, 20009, 547, 6760, 543, 5208, 563, 20813, 12787, 3069, 267, 21458, 3069, 267, 6107, 14228, 338, 910, 589, 18948, 540, 18366, 543, 6997, 9934, 7869, 538, 519, 12745, 540, 15272, 717, 836, 338, 269, 3733, 10055, 563, 288, 18948, 540, 18366, 543, 6997, 9934, 7869, 538, 519, 12745, 540, 15272, 717, 836, 338, 717, 836, 338, 538, 29277, 4828, 269, 3204, 8973, 14228, 338, 267, 513, 4655, 17695, 626, 1131, 1294, 713, 1514, 3390 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 21104, 725, 540, 9891, 7754, 1564, 454, 13828, 10821, 543, 5010, 3601, 616, 1134, 14018, 547, 9891, 14346, 8470, 1949, 543, 649, 723, 513, 2319, 540, 4966, 8036, 547, 948, 596, 3313, 1141, 1655, 547, 1747, 606, 5044, 585, 5021, 1198, 269, 1452, 4966, 616, 849, 9280, 609, 1533, 6361, 7308, 19603, 1374, 3301, 602, 6087, 873, 547, 1374, 519, 1034, 1942, 2500, 543, 3608, 2497, 585, 1312, 5010, 543, 10821, 3601, 1759, 593, 4087, 267, 2450, 543, 946, 267, 1210, 1614, 8820, 20592, 563, 26794, 540, 7353, 19661, 545, 7754, 1564, 454, 23530, 1379, 2306, 946, 540, 2470, 779, 1034, 3532, 4199, 267, 5356, 2640, 547, 5411, 267, 3755, 543, 519, 1604, 269, 9891, 1648, 568, 513, 7361, 2150, 11474, 4199, 602, 786, 581, 1459, 585, 17542, 540, 1296, 547, 2097, 543, 814, 1100, 11991, 610, 6757, 676, 1790, 20094, 563, 2026, 519, 3790, 540, 13113, 1648, 31244, 267, 3859, 1648, 3091, 606, 4244, 602, 666, 2569, 1648, 12014, 543, 4061, 2333, 13358, 762, 26038, 269, 634, 3355, 1942, 540, 3859, 8440, 568, 2653, 547, 17854, 609, 513, 1507, 2179, 540, 1382, 883, 519, 4324, 540, 16459, 971, 513, 1062, 563, 268, 634, 4346, 568, 5818, 539, 998, 519, 3892, 267, 10380, 543, 5826, 540, 971, 2472, 563, 268, 18877, 609, 7791, 1648, 3435, 4324, 689, 4389, 2011, 543, 1216, 5533, 602, 568, 3812, 676, 5201, 10451, 1949, 602, 7048, 593, 8093, 4492, 563, 268, 4270, 5116, 9891, 14346, 8440, 666, 2628, 585, 2933, 538, 607, 2370, 607, 5722, 1296, 454, 268, 4495, 519, 3355, 5092, 568, 20039, 585, 8440, 666, 1683, 519, 3959, 609, 1863, 5201, 585, 519, 1272, 540, 519, 1062, 543, 519, 9806, 1500, 593, 7622, 12014, 1611, 3859, 8440, 1942, 1447, 538, 519, 1279, 2196, 952, 789, 616, 8704, 4505, 454, 268, 6052, 3812, 666, 581, 1031, 593, 21935, 267, 610, 29633, 547, 519, 3084, 7470, 609, 2883, 15314, 6035, 538, 2132, 454, 268, 9891, 14346, 1949, 2154, 8766, 5826, 543, 4061, 723, 8766, 4881, 3790, 454, 268, 3143, 5533, 568, 2813, 454, 268, 3143, 3653, 568, 3812, 454, 268, 9891, 1949, 946, 1360, 2370, 1648, 2933, 454, 268, 20023, 6846, 5533, 454, 268, 11162, 1648, 568, 3177, 454, 268, 10871, 2011, 543, 1216, 568, 6870, 454, 23530, 1379, 2488, 513, 4264, 543, 9247, 12808, 3761, 540, 1648, 585, 519, 2104, 269, 0, 763, 30437, 6512, 540, 519, 27305, 10158, 30617, 1164, 2066, 519, 6607, 593, 4832, 17334, 269, 2311, 3781, 6420, 267, 621, 21018, 689, 3592, 1813, 5087, 267, 1164, 2066, 519, 7532, 267, 547, 3592, 1813, 5045, 269, 898, 6763, 2047, 16841, 676, 28813, 269, 1411, 1590, 2057, 2749, 8279, 547, 1294, 621, 563, 25582, 569, 853, 1173, 5074, 9669, 454, 17809, 3660, 676, 10060, 14630, 3820, 269, 28791, 6382, 9138, 267, 13156, 2053, 616, 2199, 942, 7488, 540, 942, 7997, 267, 543, 616, 1434, 585, 519, 3003, 13722, 476, 4366, 2829, 630, 663, 267, 3622, 267, 585, 14522, 543, 16127, 1916, 20809, 476, 1789, 281, 4427, 1479, 717, 869, 454, 20809, 476, 4029, 281, 13928, 17963, 454, 300, 573, 1606, 28026, 568, 1572, 519, 13928, 17963, 1317, 519, 968, 27594, 5182, 2223, 11184, 3780, 267, 5526, 2282, 519, 6129, 269, 4595, 11184, 3780, 568, 519, 6505, 652, 5182, 538, 519, 3781, 6607, 267, 3504, 6607, 342, 520, 7129, 2404, 621, 609, 2523, 3905, 2395, 269, 0, 31568, 18741, 2421, 267, 7471, 5547, 22082, 267, 4666, 693, 476, 10037, 454, 763, 17587, 15356, 20421, 11653, 1185, 5249, 693, 7147, 29698, 454, 2839, 294, 5240, 6796, 910, 10793, 18741, 2421, 267, 4171, 960, 538, 519, 3735, 476, 4198, 271, 338, 593, 519, 7471, 5547, 21490, 519, 1259, 585, 519, 2413, 7384, 5736, 267, 5747, 11728, 538, 28543, 693, 519, 2085, 540, 476, 10037, 1310, 513, 5618, 6560, 1996, 2860, 267, 7147, 29698, 5549, 269, 9307, 19108, 563, 763, 17587, 15356, 20421, 11653, 2919, 835, 540, 519, 1101, 7471, 11387, 267, 513, 4015, 540, 27820, 6896, 547, 960, 593, 7384, 4247, 269, 18741, 2421, 543, 30263, 3710, 606, 7471, 5547, 538, 476, 4198, 279, 543, 19429, 585, 513, 14664, 585, 519, 3926, 538, 476, 4198, 280, 267, 513, 1906, 3275, 1354, 27311, 29651, 269, 1071, 1922, 10133, 7917, 715, 1195, 576, 849, 19429, 585, 606, 7471, 5547, 14664, 1247, 6964, 676, 12876, 18876, 590, 2438, 13503, 528, 29651, 563, 293, 1515, 18876, 543, 30263, 5555, 12306, 741, 3656, 3604, 936, 519, 5137, 540, 519, 1101, 7471, 5547, 543, 3444, 268, 997, 10234, 741, 4066, 267, 3850, 519, 19202, 2872, 547, 21707, 563, 298, 559, 2421, 729, 849, 3743, 585, 1896, 824, 14262, 18563, 1247, 6964, 676, 30263, 267, 1519, 513, 1688, 18988, 5907, 9498, 543, 513, 8143, 17002, 267, 30263, 1767, 538, 513, 5305, 563, 257, 31568, 729, 835, 540, 519, 3020, 23806, 540, 519, 19202, 2872, 2437, 30263, 5518, 543, 16628, 6762, 13527, 2023, 1767, 538, 513, 3948, 269, 834, 9336, 11653, 267, 8885, 3769, 267, 7640, 525, 1100, 1507, 851, 540, 741, 17612, 547, 519, 960, 10793, 18741, 2421, 1705, 1934, 693, 7147, 29698, 269, 1284, 786, 4413, 1864, 4799, 298, 559, 2421, 5249, 585, 30263, 689, 476, 4198, 279, 547, 476, 2735, 274, 267, 8066, 1896, 2359, 7158, 936, 1010, 26022, 269, 1261, 729, 849, 513, 7548, 693, 7147, 589, 261, 300, 2160, 689, 476, 3192, 279, 547, 476, 2735, 275, 563, 3891, 4607, 519, 17587, 15356, 538, 6323, 538, 476, 1220, 271, 585, 1010, 7418, 547, 519, 1646, 540, 519, 7471, 5547, 630, 5408, 21091, 2275, 1844, 3726, 23266, 8843, 17587, 6323, 16101, 1916, 298, 559, 2421, 3762, 1079, 20766, 267, 2947, 6264, 323, 13774, 750, 338, 543, 513, 5067, 2987, 25237, 267, 30263, 1767, 563, 268, 24665, 908, 13192, 1546, 7877, 543, 15051, 609, 2494, 3042, 7896, 14992, 602, 798, 711, 723, 6190, 538, 27440, 6791, 547, 2901, 11766, 610, 2226, 606, 594, 30962, 6531, 1058, 2490, 547, 2494, 3042, 6796, 3038, 11107, 4586, 268, 2037, 762, 5150, 6552, 1569, 547, 476, 274, 291, 1239, 1510, 27531, 3308, 13526, 558, 766, 5071, 543, 5663, 3549, 1590, 3082, 3533, 547, 519, 7569, 540, 606, 5051, 2518, 543, 8013, 4346, 269, 1677, 3432, 942, 547, 2344, 585, 2483, 268, 22217, 4328, 8605, 5071, 769, 589, 13216, 2622, 8605, 1374, 4702, 814, 6410, 2484, 3564, 519, 32604, 540, 2479, 2173, 648, 3532, 960, 560, 725, 269, 14992, 666, 1405, 6488, 547, 6615, 3785, 547, 1210, 1152, 2199, 2483, 268, 589, 13129, 15339, 585, 519, 5769, 540, 12085, 634, 2832, 540, 713, 568, 547, 1683, 11629, 338, 543, 3763, 619, 540, 14164, 3785, 609, 606, 2500, 4358, 1448, 602, 6227, 519, 2101, 4170, 2483, 268, 1548, 6496, 621, 6875, 547, 5548, 1853, 513, 32493, 21436, 15232, 286, 634, 5565, 5440, 7304, 730, 6732, 4825, 841, 619, 267, 645, 261, 295, 17421, 543, 9197, 8553, 7615, 22997, 267, 9523, 4256, 31981, 9181, 4052, 595, 311, 2645, 543, 3028, 2409, 971, 607, 3346, 4099, 8069, 543, 519, 946, 540, 1483, 5503, 4633, 12642, 547, 948, 3346, 4099, 2483, 268, 5901, 5395, 951, 5455, 543, 26121, 543, 31105, 619, 538, 519, 14730, 1323, 9399, 299, 20081, 11862, 3946, 327, 820, 3340, 693, 2547, 476, 1015, 2053, 811, 4393, 1379, 593, 513, 7746, 982, 593, 519, 7817, 269, 9399, 299, 556, 10864, 582, 2747, 6285, 666, 11593, 1862, 2353, 10434, 2264, 6519, 14430, 1923, 5680, 4751, 338, 0, 2252, 596, 6999, 547, 3565, 610, 7119, 538, 519, 5717, 827, 4930, 596, 616, 14376, 547, 6443, 27699, 312, 1962, 776, 607, 513, 10805, 3593, 454, 2704, 339, 9014, 17553, 30332, 454, 5804, 27699, 312, 1962, 776, 26264, 454, 268, 22947, 1377, 269, 9208, 2604, 4259, 630, 6200, 274, 554, 25508, 264, 568, 1305, 950, 10760, 676, 4704, 547, 8184, 2157, 1657, 519, 5912, 15820, 3248, 268, 16816, 3363, 269, 13636, 610, 2011, 7615, 2604, 4259, 630, 304, 26822, 264, 568, 1305, 950, 10760, 676, 4704, 547, 15820, 1657, 1611, 4262, 1377, 2630, 519, 5912, 1377, 3248, 268, 27551, 269, 16816, 9014, 2604, 4259, 10834, 4463, 1657, 2011, 7615, 610, 5905, 6658, 630, 304, 25539, 264, 568, 1305, 950, 16042, 547, 2244, 693, 2011, 7615, 1141, 713, 5650, 568, 538, 946, 563, 293, 19691, 547, 1305, 519, 3617, 3046, 6248, 1016, 8397, 2604, 4259, 949, 1267, 538, 513, 1713, 11539, 689, 519, 23498, 15820, 610, 22947, 5426, 454, 15650, 540, 16816, 9014, 17553, 18438, 454, 268, 634, 12681, 3765, 515, 1513, 519, 10299, 2604, 4259, 543, 5036, 606, 11234, 4137, 563, 268, 634, 12681, 30650, 519, 10299, 2604, 4259, 7157, 855, 14543, 547, 1305, 621, 610, 3765, 1606, 1115, 621, 563, 268, 634, 12681, 14543, 547, 1689, 519, 2604, 4259, 693, 519, 3617, 1448, 538, 513, 22576, 267, 18214, 267, 16350, 610, 1935, 563, 268, 23299, 547, 1305, 519, 3617, 2604, 4259, 267, 666, 1267, 538, 11539, 689, 519, 23498, 15820, 610, 8184, 1377, 3056, 547, 1377, 11861, 267, 2530, 540, 9668, 689, 824, 6808, 267, 543, 1256, 16580, 609, 824, 8484, 610, 609, 519, 2666, 630, 20003, 3951, 1916, 268, 13809, 540, 32638, 4656, 1813, 547, 5821, 547, 5660, 519, 4644, 540, 513, 2604, 4259, 630, 18034, 1627, 25539, 607, 10353, 547, 1627, 26822, 1040, 901, 666, 1267, 538, 11234, 7071, 540, 519, 804, 4923, 612, 540, 519, 2666, 7654, 3056, 547, 606, 13417, 8494, 2213, 1935, 610, 16580, 609, 519, 2666, 630, 20003, 3951, 1916, 268, 589, 12681, 14543, 547, 2327, 602, 3044, 2604, 568, 1305, 950, 8429, 519, 5912, 15820, 538, 519, 18214, 267, 543, 2157, 519, 8484, 693, 513, 8184, 1377, 799, 15320, 689, 519, 23498, 1377, 676, 606, 2179, 4470, 593, 519, 3017, 1063, 519, 1627, 26822, 543, 476, 6200, 274, 554, 25508, 563, 268, 589, 12681, 14543, 547, 1305, 1627, 26822, 950, 8429, 519, 5912, 1377, 538, 519, 16350, 543, 2157, 519, 8484, 693, 606, 15820, 799, 15320, 689, 519, 23498, 15820, 676, 606, 2179, 4470, 593, 519, 3017, 1063, 1627, 26822, 543, 476, 6200, 274, 554, 25508, 563, 268, 589, 12681, 796, 268, 4310, 547, 13941, 609, 1627, 25539, 1305, 267, 1281, 711, 3314, 602, 519, 5621, 9014, 1631, 6920, 4463, 1657, 2011, 7615, 15038, 610, 5905, 16365, 543, 18867, 602, 519, 8484, 568, 2693, 547, 581, 6251, 267, 543, 7654, 513, 2603, 6251, 267, 547, 519, 2666, 982, 609, 1627, 26822, 1305, 563, 268, 634, 6228, 540, 3617, 590, 8008, 338, 585, 519, 4259, 543, 3444, 19295, 9535, 540, 5621, 9014, 1016, 10253, 543, 741, 7453, 2616, 766, 568, 519, 1152, 8471, 3119, 3070, 547, 9004, 11234, 5621, 9014, 4259, 563, 268, 2422, 540, 519, 8484, 5925, 5621, 9014, 547, 6895, 519, 8484, 16133, 609, 519, 2666, 666, 948, 547, 2087, 32638, 4656, 3177, 602, 519, 8184, 12284, 616, 3622, 5432, 609, 519, 14099, 936, 799, 789, 616, 10760, 3248, 268, 13382, 16703, 270, 14011, 16703, 1683, 513, 3106, 2121, 1996, 18435, 3951, 543, 538, 519, 2013, 540, 25526, 16703, 4147, 1412, 288, 262, 609, 922, 4781, 540, 513, 2241, 14099, 11837, 4159, 267, 621, 666, 849, 581, 1031, 547, 2047, 2087, 6296, 32638, 4656, 563, 16914, 6342, 543, 5549, 6342, 454, 18128, 757, 538, 799, 519, 11234, 5621, 9014, 2604, 4259, 729, 2901, 513, 2014, 610, 7700, 3815, 538, 513, 5426, 645, 755, 610, 18435, 3951, 14672, 792, 18435, 3951, 912, 268, 589, 17168, 267, 25610, 14642, 5979, 16157, 267, 476, 1220, 279, 630, 20003, 3951, 700, 289, 670, 293, 17985, 290, 264, 630, 4002, 476, 866, 5412, 476, 1220, 279, 267, 606, 17224, 1993, 14309, 5794, 24650, 589, 17168, 26731, 3648, 2630, 922, 23498, 543, 17019, 15820, 1310, 519, 12284, 4503, 32638, 4656, 693, 3781, 15029, 12394, 547, 3715, 593, 519, 594, 11862, 693, 14642, 5979, 689, 606, 3665, 18448, 3950, 1310, 513, 3735, 2196, 3118, 1689, 543, 606, 17946, 718, 1263, 539, 11234, 1224, 3724, 269, 634, 27148, 11943, 602, 519, 3210, 547, 519, 661, 25897, 16703, 9963, 799, 8507, 1185, 1044, 968, 17218, 543, 3500, 892, 855, 602, 519, 1981, 540, 18435, 3951, 729, 968, 30005, 855, 711, 31873, 6100, 634, 2796, 585, 519, 2680, 729, 2808, 547, 723, 1044, 4057, 10618, 1063, 11083, 290, 543, 519, 8484, 538, 2463, 540, 2242, 540, 13941, 2196, 3118, 8094, 268, 667, 295, 279, 291, 267, 30647, 6541, 1401, 2678, 5177, 267, 476, 1001, 271, 630, 20003, 3951, 700, 289, 32217, 670, 293, 264, 630, 4002, 476, 1556, 5181, 476, 1001, 271, 267, 513, 667, 18449, 279, 268, 6110, 1373, 13234, 676, 26850, 2041, 593, 513, 16516, 18213 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 1280, 5301, 540, 519, 7121, 1062, 1934, 267, 27380, 2882, 519, 1353, 540, 6437, 1374, 543, 4058, 269, 2353, 540, 891, 616, 1271, 2127, 540, 4116, 1702, 538, 1840, 547, 7317, 3450, 5578, 269, 11334, 1590, 22962, 741, 1523, 540, 3318, 1646, 547, 1331, 891, 11890, 543, 1265, 2081, 547, 1628, 25479, 2231, 538, 873, 563, 275, 269, 27801, 281, 634, 1646, 540, 5578, 995, 3450, 3340, 2620, 3523, 320, 268, 512, 542, 543, 1875, 12413, 2400, 1582, 7721, 8727, 540, 2259, 538, 6935, 547, 2875, 2164, 563, 2171, 991, 1142, 824, 538, 713, 3924, 269, 634, 6988, 540, 519, 960, 3340, 1164, 1922, 4233, 532, 6887, 602, 1374, 4245, 543, 1455, 24233, 10526, 1927, 267, 945, 798, 5470, 2079, 540, 2875, 960, 267, 543, 945, 948, 1142, 824, 609, 519, 1374, 543, 6388, 540, 556, 974, 2286, 269, 901, 2186, 540, 2620, 5698, 454, 32153, 1702, 568, 1759, 593, 25479, 2231, 543, 12805, 267, 711, 2500, 5615, 563, 307, 670, 661, 590, 918, 594, 700, 700, 674, 772, 700, 570, 661, 589, 595, 670, 661, 681, 476, 2537, 454, 303, 11286, 21450, 1923, 661, 7704, 28718, 3201, 645, 5085, 296, 9128, 306, 1923, 590, 29558, 5357, 5058, 454, 7528, 2231, 811, 982, 3889, 543, 10873, 269, 898, 3340, 5578, 995, 5718, 543, 519, 14375, 1983, 547, 1628, 3972, 267, 3106, 267, 1981, 23824, 267, 543, 8990, 547, 3914, 782, 519, 1453, 269, 968, 5472, 519, 1453, 4866, 547, 721, 892, 568, 519, 16051, 571, 540, 971, 6887, 563, 289, 5085, 296, 9128, 306, 9474, 27345, 5990, 19845, 27073, 5058, 13673, 309, 7644, 2177, 16774, 25723, 595, 3918, 12442, 454, 276, 269, 27801, 281, 634, 2698, 1604, 540, 513, 1153, 814, 513, 3532, 1198, 593, 1053, 685, 1565, 563, 27645, 1590, 7119, 8362, 609, 741, 9164, 547, 3337, 519, 1153, 607, 513, 1565, 1604, 269, 1358, 1590, 1451, 875, 547, 1404, 513, 1909, 538, 14304, 519, 9872, 543, 1294, 2933, 607, 5716, 3564, 519, 4928, 267, 3743, 585, 519, 1062, 540, 519, 1153, 269, 1280, 713, 547, 4755, 267, 22524, 11163, 543, 1908, 326, 658, 640, 991, 547, 581, 3710, 883, 519, 5958, 540, 741, 2324, 3347, 269, 3955, 323, 11163, 3340, 602, 789, 1599, 607, 1312, 3401, 543, 2319, 5716, 543, 602, 789, 24101, 268, 2823, 513, 3666, 540, 13190, 543, 22122, 538, 6437, 543, 3450, 2853, 563, 20597, 650, 995, 3610, 616, 3401, 945, 1491, 519, 11036, 547, 3310, 9164, 547, 268, 20758, 2093, 789, 1871, 543, 1847, 519, 1153, 4724, 2853, 789, 3494, 786, 7794, 3025, 269, 1358, 616, 2319, 5716, 267, 23712, 609, 9164, 547, 2087, 519, 1153, 543, 948, 1367, 1053, 267, 543, 8348, 547, 2285, 909, 930, 13190, 585, 3527, 22466, 676, 1455, 22649, 543, 11650, 563, 763, 4276, 1063, 4116, 1565, 543, 713, 3661, 538, 22524, 11163, 543, 1908, 326, 658, 640, 568, 602, 1152, 3610, 945, 723, 2834, 5872, 609, 741, 9164, 998, 4745, 960, 666, 1995, 519, 4324, 540, 741, 1702, 543, 519, 5348, 1458, 540, 2870, 1007, 1702, 609, 1866, 563, 277, 269, 27801, 281, 4804, 568, 9112, 607, 6267, 15849, 30968, 1007, 1995, 609, 1991, 1702, 563, 27645, 945, 3398, 713, 3661, 1590, 4020, 1565, 2833, 1141, 6267, 616, 3742, 267, 7311, 1702, 267, 543, 10452, 593, 922, 2495, 856, 10978, 610, 538, 1060, 268, 3824, 269, 898, 568, 741, 5539, 547, 1711, 513, 3666, 1063, 1053, 685, 942, 8391, 1007, 1344, 543, 8026, 1983, 543, 741, 942, 8362, 14335, 267, 15849, 328, 268, 561, 908, 267, 543, 7311, 602, 1344, 538, 1483, 8658, 269, 901, 10522, 602, 3610, 1451, 513, 3099, 540, 3631, 540, 3450, 543, 1491, 621, 593, 2933, 547, 1451, 875, 547, 1020, 519, 3310, 18843, 540, 4928, 2916, 4330, 538, 3848, 476, 1626, 269, 898, 1612, 268, 512, 21871, 7575, 873, 547, 1451, 1983, 585, 1818, 1053, 685, 3206, 7298, 543, 1265, 2081, 547, 19334, 1053, 685, 1702, 538, 6935, 547, 1007, 2035, 630, 5408, 3848, 476, 1556, 267, 968, 5141, 10846, 892, 1916, 307, 670, 661, 590, 918, 594, 700, 700, 674, 772, 700, 570, 661, 589, 595, 670, 661, 681, 2190, 454, 303, 11286, 21450, 1923, 661, 7704, 28718, 3201, 645, 5085, 296, 9128, 306, 1923, 590, 29558, 5357, 5058, 454, 2005, 568, 513, 4116, 779, 3318, 5539, 547, 1374, 606, 1604, 538, 799, 1142, 1126, 666, 8011, 563, 278, 269, 27801, 281, 4804, 9775, 609, 519, 4110, 547, 799, 513, 15226, 779, 2115, 585, 10014, 267, 3310, 267, 16169, 267, 543, 6015, 616, 1558, 563, 763, 5626, 543, 5042, 2113, 24586, 602, 3610, 1711, 814, 606, 11999, 1764, 593, 1018, 543, 875, 1453, 1451, 269, 898, 568, 513, 4116, 779, 3318, 1365, 517, 268, 521, 2225, 547, 1374, 606, 1604, 538, 799, 1142, 1126, 666, 8011, 269, 6270, 606, 1604, 568, 6353, 676, 2146, 267, 8994, 1489, 267, 1981, 23824, 267, 543, 2362, 7400, 3206, 585, 782, 269, 898, 568, 849, 6353, 676, 8763, 3007, 547, 588, 340, 268, 546, 757, 685, 1514, 543, 3929, 1565, 269, 0, 1432, 1772, 634, 10020, 2986, 3026, 584, 976, 769, 4804, 454, 10468, 584, 976, 4163, 741, 6835, 538, 519, 1106, 540, 5122, 6786, 1572, 2962, 30372, 269, 1452, 616, 10299, 3842, 519, 4949, 517, 269, 3962, 2962, 1761, 21945, 693, 519, 1439, 540, 513, 22813, 12153, 606, 11852, 610, 606, 22629, 3210, 593, 519, 1985, 22813, 1547, 634, 4222, 540, 891, 6786, 666, 4268, 563, 10468, 584, 976, 616, 7683, 4657, 269, 1358, 616, 544, 4150, 762, 2614, 547, 1689, 519, 3892, 540, 8229, 4296, 607, 2877, 269, 4438, 1565, 267, 5036, 540, 11409, 1689, 741, 12122, 676, 14921, 5348, 22663, 543, 1818, 873, 811, 3608, 547, 7520, 8229, 6771, 269, 901, 7613, 568, 1634, 607, 5348, 25443, 29010, 563, 2414, 2327, 519, 4483, 540, 1007, 1344, 267, 891, 1007, 4296, 616, 1500, 593, 3747, 269, 1879, 1344, 568, 7368, 267, 519, 4611, 27090, 6786, 616, 711, 14477, 7856, 269, 5502, 267, 789, 4043, 547, 1246, 4540, 11444, 269, 18421, 4523, 607, 952, 519, 1344, 814, 547, 979, 998, 519, 9241, 28889, 601, 539, 5348, 22663, 14578, 269, 1306, 971, 267, 621, 568, 1767, 602, 5348, 22663, 616, 22541, 269, 11773, 633, 1565, 3322, 519, 1482, 8849, 11387, 267, 799, 948, 547, 1711, 3965, 563, 10908, 658, 19204, 281, 634, 23398, 5178, 529, 2986, 634, 11020, 454, 4905, 5988, 267, 476, 1708, 272, 454, 763, 2634, 568, 835, 540, 519, 1034, 1271, 8219, 538, 519, 1560, 269, 898, 2636, 721, 547, 3717, 267, 1847, 267, 1745, 267, 543, 1589, 269, 5221, 540, 922, 1883, 1909, 267, 513, 2603, 540, 1382, 538, 2487, 1296, 814, 5059, 593, 519, 2634, 547, 1174, 519, 1114, 2694, 602, 1106, 621, 543, 519, 1259, 789, 960, 563, 22873, 6053, 267, 621, 729, 5156, 602, 11409, 941, 519, 1152, 2281, 538, 5279, 540, 2634, 2534, 269, 1717, 267, 2487, 1382, 814, 12006, 519, 1909, 1350, 658, 2281, 1404, 538, 2634, 1599, 269, 1306, 2090, 1631, 1397, 267, 1350, 658, 2281, 616, 4909, 11051, 1184, 540, 1344, 6771, 269, 1306, 2487, 2090, 1397, 267, 930, 540, 519, 1292, 2634, 3676, 616, 660, 1152, 1644, 547, 27090, 3441, 269, 3794, 658, 2281, 849, 14016, 622, 607, 513, 1267, 540, 2634, 2068, 563, 15650, 2986, 3794, 658, 769, 634, 3131, 8327, 531, 32471, 748, 3590, 454, 19913, 342, 2335, 2281, 960, 538, 513, 2147, 6752, 547, 23731, 30705, 24945, 5052, 607, 789, 849, 3132, 24869, 514, 1352, 987, 585, 519, 4949, 976, 540, 11409, 267, 2705, 267, 789, 616, 4092, 538, 519, 623, 10064, 563, 763, 11919, 9245, 540, 891, 5576, 342, 2335, 2281, 3303, 1023, 1472, 519, 4949, 976, 540, 11409, 547, 1106, 519, 9761, 13471, 602, 568, 2838, 585, 5488, 6771, 540, 5122, 6786, 563, 19913, 342, 2335, 2281, 666, 581, 2901, 24869, 3215, 610, 1875, 2173, 344, 601, 3215, 269, 1733, 12241, 24869, 3215, 5576, 342, 2335, 2281, 16833, 1472, 519, 4949, 976, 540, 11409, 267, 1875, 2173, 344, 601, 3215, 5576, 342, 2335, 2281, 798, 711, 16833, 1472, 519, 4949, 976, 267, 855, 789, 1869, 1683, 1489, 543, 31289, 532, 547, 873, 563, 9827, 267, 1142, 5576, 342, 2335, 1591, 1106, 513, 2582, 24869, 514, 1352, 987, 1472, 606, 4949, 517, 267, 6466, 23731, 30705, 24945, 5052, 1106, 24869, 514, 1352, 23411, 585, 2789, 4478, 4949, 976, 563, 1103, 1840, 547, 32229, 4949, 976, 267, 5576, 342, 2335, 2281, 616, 2565, 538, 3210, 547, 4949, 517, 3441, 1369, 519, 623, 10064, 607, 789, 666, 948, 538, 1036, 10273, 908, 891, 8697, 4949, 976, 563, 2691, 1022, 1826, 540, 5945, 4386, 267, 519, 5576, 342, 2335, 2281, 616, 2366, 547, 519, 5945, 3135, 547, 4894, 519, 4666, 2281, 269, 634, 5576, 342, 2335, 2281, 849, 723, 519, 12588, 547, 19582, 519, 3312, 2230, 540, 519, 11409, 543, 16956, 4733, 519, 11103, 538, 971, 513, 1259, 602, 789, 616, 2111, 547, 2132, 547, 741, 3312, 3077, 4609, 563, 763, 840, 25218, 14934, 6350, 568, 513, 851, 540, 519, 2634, 30232, 16794, 3743, 585, 22589, 17319, 5322, 267, 4092, 538, 519, 1034, 17911, 2990, 540, 519, 28882, 27914, 267, 24152, 519, 13796, 10981, 525, 563, 10673, 1406, 7323, 281, 1744, 8667, 631, 2287, 328, 5448, 28900, 454, 1692, 3509, 3794, 658, 19204, 3657, 1703, 769, 634, 11020, 454, 3080, 540, 519, 4909, 3741, 540, 3621, 3206, 568, 25949, 269, 589, 1434, 10196, 31439, 547, 3398, 4376, 9420, 569, 267, 3079, 29506, 1944, 1169, 1625, 19959, 3948, 540, 1249, 547, 1118, 2386, 519, 2963, 19758, 621, 909, 563, 10303, 713, 14820, 568, 865, 24245, 538, 3621, 10459, 267, 922, 2352, 547, 1174, 875, 5667, 889, 560, 656, 7007, 6811, 666, 581, 7608, 607, 1249, 538, 2257, 269, 1809, 713, 1281, 4755, 12212, 269, 2368, 796, 2889, 1597, 7682, 687, 723, 1256, 1336, 741, 1259, 883, 519, 642, 13550, 539, 8513, 540, 1455, 1702, 513, 25084, 602, 1797, 1945, 568, 865, 1134, 28004, 607, 3020, 602, 596, 21645, 1256, 991, 513, 2707, 547, 1394, 621, 909, 15042, 269, 1280, 519, 2063, 1896, 5756, 267, 713, 814, 1044, 519, 4567, 540, 6811, 602, 972, 616, 1082, 811, 1350, 658, 2281, 982, 11409, 538, 519, 2634, 563, 32507, 27023, 1235, 723, 1044, 5461, 538, 4466, 4977, 9193, 540, 519, 1297, 540, 11409, 543, 1350, 807, 538, 519, 2634, 585, 693, 2547, 513, 2540, 543, 513, 3368, 269, 2755, 23115, 891, 2338, 856, 568, 513, 605, 323, 16406, 9028, 1100, 2339, 875, 596, 2759, 621, 267, 8159, 1350, 658, 1591, 12523, 814, 1044, 3226, 4101, 1813, 547, 519, 1507, 2450, 540, 1350, 807, 543, 519, 7411, 538, 10213, 873, 6306, 689, 824, 1507, 2281, 269, 12846, 267, 1591, 10203, 2409, 723, 4824, 20427, 936, 519, 2063, 1896, 5756, 267, 543, 519, 637, 2601, 547, 3494, 602, 649, 6368, 723, 930, 4570, 9193, 540, 1312, 11409, 543, 1350, 658, 2281, 563, 15650, 2986, 3794, 658, 769, 634, 6239, 32471, 748, 3590, 454, 22349, 24945, 5052, 616, 519, 1034, 3875, 2010, 540, 1350, 658, 2281, 543, 2272, 585, 827, 3368, 540, 782, 519, 2281, 538, 519, 2634, 563, 22349, 24945, 5052, 616, 5182, 11057, 2281, 267, 11658, 547, 519, 2634, 543, 11983, 10260, 799, 2306, 909, 519, 595, 10064, 267, 741, 1292, 1599, 1373, 547, 2226, 519, 1604, 585, 27090, 15202, 563, 5445, 798, 713, 998, 9013, 519, 2157, 540, 30088, 4478, 519, 5348, 22663, 269, 1452, 2281, 723, 519, 2702, 547, 2631, 519, 2157, 540, 32239, 538, 5348, 22663, 543, 666, 1287, 4431, 676, 16089, 6675, 602, 2047, 3310, 519, 27090, 2534, 563, 10303, 540, 713, 267, 4230, 24945, 5052, 616, 1271, 585, 22212, 5348, 22663, 543, 32047, 875, 11409, 5968, 269, 901, 1826, 540, 1350, 658, 1591, 568, 849, 3743, 585, 7738, 909, 1018, 568, 2451, 3297, 1310, 5348, 25443, 6771, 563, 5629, 513, 5048, 814, 1044, 4607, 543, 10299, 547, 519, 1985, 22813, 267, 519, 4230, 24945, 5052, 786, 22120, 1022, 540, 519, 2451, 27492, 30088, 563, 20118, 267, 2899, 513, 22813, 814, 5747, 267, 519, 4230, 24945, 5052, 786, 2973, 713, 909, 607, 1134, 607, 1022, 4430, 11379, 12274, 972, 949, 581, 538, 519, 1604, 269, 8330, 24945, 5052, 616, 849, 1271, 585, 8108, 519, 1973, 2634, 11064, 269, 901, 11064, 568, 1271, 607, 621, 786, 1152, 1450, 538, 6878, 602, 616, 9277, 547, 581, 538, 519, 2634, 267, 4061, 5329, 856, 4376, 5739, 563, 5194, 1271, 1826, 540, 1350, 658, 1591, 799, 616, 11658, 547, 519, 595, 10064, 616, 23731, 30705 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2418, 269, 901, 2963, 267, 13745, 609, 519, 1166, 21294, 2470, 540, 519, 4154, 267, 6920, 602, 519, 4154, 538, 519, 13719, 2666, 4440, 12090, 689, 519, 29056, 540, 519, 30083, 26226, 598, 6921, 9593, 919, 267, 799, 693, 835, 1974, 4988, 1034, 267, 952, 711, 519, 2898, 267, 540, 519, 1858, 936, 799, 519, 570, 756, 334, 984, 584, 571, 21081, 924, 856, 23145, 1186, 563, 4415, 519, 9864, 267, 610, 2347, 267, 11761, 540, 519, 598, 6921, 9593, 919, 519, 4154, 267, 538, 1804, 2268, 267, 6410, 1524, 896, 8904, 6368, 547, 1831, 6404, 609, 519, 10036, 5674, 11491, 12792, 3037, 269, 1635, 713, 1797, 267, 543, 676, 519, 2962, 540, 4881, 1216, 538, 811, 2487, 2053, 267, 5834, 540, 519, 4154, 2418, 538, 519, 13719, 2666, 729, 1198, 539, 563, 1103, 2487, 1296, 1034, 540, 519, 4154, 3812, 538, 519, 570, 756, 334, 984, 584, 571, 2361, 814, 1044, 5833, 676, 6522, 10107, 269, 19791, 609, 1970, 3766, 1245, 2418, 616, 1634, 547, 2291, 538, 1978, 2199, 885, 855, 267, 607, 11329, 856, 5892, 267, 519, 9000, 540, 1216, 7727, 17740, 919, 1996, 2324, 1022, 3507, 2406, 1804, 8397, 5106, 269, 634, 1655, 2081, 1131, 581, 676, 1210, 513, 4496, 18785, 610, 513, 3819, 9514, 518, 563, 763, 631, 5495, 18199, 18161, 302, 4041, 667, 5456, 294, 5058, 306, 616, 13883, 827, 476, 275, 269, 279, 5998, 5045, 540, 24398, 269, 7313, 1961, 267, 593, 519, 18832, 14979, 15880, 267, 1141, 14788, 338, 723, 1044, 3141, 330, 998, 476, 274, 547, 476, 275, 15432, 540, 21247, 18574, 543, 9160, 15113, 609, 21247, 536, 746, 619, 269, 634, 5127, 549, 4242, 616, 3043, 543, 5835, 10612, 743, 599, 543, 8020, 17675, 32498, 269, 901, 568, 519, 1101, 1327, 1275, 1141, 4154, 729, 1336, 267, 543, 711, 1373, 22876, 3293, 538, 2628, 762, 7274, 621, 729, 14460, 269, 7108, 814, 1044, 5249, 1934, 538, 2627, 575, 1638, 625, 15385, 519, 1500, 2666, 269, 589, 1019, 528, 924, 10085, 651, 8255, 6252, 547, 519, 2007, 326, 902, 267, 827, 476, 22550, 15432, 547, 519, 7532, 563, 763, 631, 5495, 18199, 645, 4629, 310, 20911, 667, 5456, 294, 5058, 306, 616, 13883, 693, 519, 27623, 1439, 540, 519, 6778, 645, 992, 928, 16186, 267, 543, 17663, 540, 1896, 2110, 575, 1638, 625, 593, 519, 32720, 2427, 4881, 2509, 513, 7936, 540, 519, 18708, 334, 15880, 269, 634, 4154, 814, 1044, 1336, 1934, 538, 519, 575, 1638, 625, 610, 512, 893, 338, 1063, 519, 1793, 622, 15113, 267, 538, 519, 1906, 1298, 22015, 637, 540, 3037, 543, 695, 17532, 8659, 538, 873, 267, 799, 4564, 519, 11547, 323, 7398, 269, 1452, 575, 1638, 625, 616, 1360, 2110, 269, 543, 13956, 2509, 519, 6366, 267, 1141, 519, 782, 12320, 1756, 568, 5111, 476, 272, 25451, 2620, 543, 789, 3262, 856, 543, 1831, 4057, 547, 960, 269, 9540, 8356, 1375, 1115, 616, 1419, 13603, 856, 540, 519, 11547, 323, 7398, 282, 519, 4102, 1336, 26693, 476, 278, 16006, 13728, 269, 670, 3421, 540, 476, 274, 547, 476, 275, 15432, 538, 3178, 723, 1044, 3141, 330, 593, 519, 524, 9127, 1166, 1846, 1934, 267, 855, 1510, 4466, 2628, 762, 4154, 269, 9540, 8356, 1375, 1115, 723, 1044, 1336, 593, 519, 2627, 538, 1896, 4025, 267, 543, 972, 568, 1100, 8969, 602, 952, 513, 6190, 7274, 540, 1216, 729, 2139, 513, 1390, 4308, 540, 519, 2627, 1131, 2628, 585, 22376, 6005, 269, 634, 13897, 666, 581, 18233, 538, 519, 1216, 32440, 540, 18708, 334, 15880, 950, 1216, 568, 2139, 269, 681, 15903, 21247, 890, 6277, 956, 616, 16559, 936, 519, 1970, 15113, 267, 10834, 519, 3788, 540, 4587, 1743, 22284, 2693, 547, 2270, 4154, 563, 763, 674, 21788, 631, 11223, 667, 5456, 294, 5058, 306, 616, 593, 519, 5045, 3887, 770, 2427, 540, 519, 24398, 269, 645, 992, 928, 16186, 267, 543, 1934, 519, 575, 1638, 625, 616, 1166, 2660, 267, 9962, 267, 543, 2270, 513, 3152, 3178, 540, 782, 12320, 1756, 982, 519, 24398, 269, 7313, 1961, 6226, 326, 902, 267, 519, 29855, 1373, 689, 476, 272, 547, 476, 275, 15432, 538, 782, 12320, 1756, 267, 543, 689, 476, 277, 547, 476, 1321, 15432, 538, 513, 598, 6921, 558, 4733, 540, 21247, 18574, 610, 9160, 9944, 519, 782, 12320, 1756, 543, 16889, 593, 519, 1793, 622, 5377, 269, 898, 26328, 513, 6712, 540, 2666, 2282, 519, 5377, 540, 519, 575, 1638, 625, 543, 1970, 15113, 267, 543, 814, 1152, 1044, 6836, 547, 513, 3908, 6708, 267, 19962, 547, 922, 21052, 267, 1141, 5249, 2705, 282, 621, 568, 1767, 547, 6556, 2628, 762, 2164, 563, 763, 715, 308, 31769, 4953, 667, 5456, 294, 5058, 306, 1107, 968, 301, 10212, 1214, 892, 568, 513, 1970, 14629, 13883, 476, 1556, 5998, 7178, 540, 570, 756, 334, 984, 584, 571, 543, 5526, 547, 581, 7768, 540, 513, 2527, 540, 1216, 342, 1941, 18574, 543, 21247, 799, 689, 7024, 1533, 602, 621, 3568, 1863, 4154, 2429, 689, 476, 274, 547, 476, 1428, 546, 342, 339, 269, 547, 519, 4452, 269, 634, 715, 308, 31769, 4953, 667, 5456, 294, 5058, 306, 616, 593, 519, 7262, 2427, 540, 519, 1733, 8636, 629, 2240, 1695, 16186, 269, 7108, 814, 1044, 1336, 1934, 547, 513, 1507, 6708, 593, 519, 1793, 622, 538, 7522, 267, 13719, 575, 1638, 625, 267, 538, 835, 540, 799, 519, 4102, 562, 1872, 1326, 1336, 593, 519, 2361, 729, 22876, 3293, 269, 634, 562, 1872, 1326, 267, 20604, 476, 1428, 12063, 476, 278, 546, 342, 339, 269, 1519, 519, 21247, 8659, 1369, 621, 563, 763, 661, 3008, 9898, 631, 2177, 31165, 667, 5456, 294, 5058, 306, 1107, 769, 513, 530, 6856, 569, 4287, 267, 5111, 476, 274, 5998, 689, 570, 756, 334, 984, 584, 571, 568, 14914, 11728, 717, 592, 569, 267, 1141, 513, 1906, 6811, 941, 5249, 547, 513, 3178, 689, 476, 272, 547, 476, 272, 269, 276, 15432, 538, 782, 12320, 1756, 609, 1216, 342, 1941, 21247, 18574, 269, 898, 729, 4080, 602, 693, 835, 540, 519, 6811, 267, 1507, 4773, 540, 4154, 1223, 581, 2938, 538, 519, 13897, 607, 621, 729, 5828, 909, 269, 634, 5127, 13702, 568, 513, 10920, 12723, 11491, 12792, 4224, 267, 543, 519, 1327, 1275, 568, 2673, 547, 519, 25342, 10465, 563, 763, 16998, 3198, 25492, 667, 5456, 294, 5058, 306, 616, 519, 1034, 3573, 593, 713, 4154, 7615, 267, 19582, 513, 6366, 1858, 540, 782, 12320, 658, 2666, 593, 519, 15429, 540, 25342, 267, 799, 3029, 519, 8998, 540, 519, 1733, 8636, 629, 2240, 1695, 16186, 269, 634, 29855, 568, 5111, 476, 272, 25451, 538, 513, 2699, 782, 12320, 1756, 267, 609, 5180, 21247, 18574, 267, 543, 11498, 936, 513, 2647, 6366, 609, 2370, 1216, 322, 12973, 267, 538, 519, 10690, 5070, 540, 799, 4154, 568, 849, 1336, 269, 634, 4154, 1934, 568, 1454, 32067, 982, 602, 1336, 11992, 267, 607, 568, 3622, 519, 2013, 538, 25342, 2197, 267, 855, 568, 21432, 2614, 547, 581, 2938, 3006, 607, 621, 568, 25653, 563, 763, 29375, 302, 631, 11223, 667, 5456, 294, 5058, 306, 1107, 476, 274, 269, 273, 5998, 2417, 7532, 540, 519, 21081, 924, 6226, 326, 902, 972, 568, 513, 1804, 575, 592, 569, 1572, 519, 968, 10521, 631, 850, 5608, 14084, 593, 519, 1793, 622, 1175, 3564, 519, 25342, 10465, 267, 543, 729, 5249, 693, 1585, 17909, 689, 17774, 5217, 547, 476, 273, 269, 276, 547, 476, 273, 269, 278, 15432, 269, 634, 29659, 3409, 1185, 513, 3178, 540, 5111, 476, 272, 25451, 540, 782, 12320, 1756, 267, 543, 1507, 8356, 1375, 1115, 666, 581, 2938, 538, 519, 11547, 1673, 7398, 563, 763, 654, 2752, 305, 2969, 14011, 717, 5357, 5263, 296, 5085, 291, 5088, 806, 513, 1804, 2527, 540, 2776, 4211, 3711, 6929, 7725, 2919, 689, 519, 29117, 540, 654, 1551, 520, 3279, 26653, 5087, 342, 6856, 569, 547, 519, 25610, 540, 631, 5803, 569, 543, 733, 27631, 2127, 269, 11153, 782, 12320, 658, 12074, 616, 3769, 16113, 1346, 693, 2199, 885, 1634, 607, 281, 6153, 11016, 267, 27213, 717, 592, 569, 267, 654, 1551, 520, 3279, 15880, 543, 631, 4752, 8636, 779, 717, 592, 569, 269, 2986, 891, 519, 1034, 25685, 2164, 941, 5833, 693, 6153, 11016, 827, 476, 866, 5998, 5087, 342, 6856, 569, 540, 6660, 1706, 1074, 320, 267, 593, 519, 2025, 4155, 547, 570, 756, 334, 984, 584, 571, 563, 763, 654, 1551, 520, 3279, 2361, 267, 2705, 267, 568, 1271, 5631, 676, 2601, 540, 519, 8942, 547, 9553, 519, 4154, 24481, 18625, 4362, 538, 476, 6642, 272, 269, 6333, 762, 3007, 814, 1044, 2016, 547, 2947, 1292, 3515, 540, 11818, 267, 12077, 519, 27505, 518, 267, 654, 1551, 520, 3279, 267, 27925, 267, 14986, 25236, 543, 10906, 24035, 338, 269, 4107, 3007, 5526, 547, 723, 1044, 2016, 547, 519, 27505, 518, 24035, 269, 11569, 267, 513, 8498, 1634, 607, 15751, 729, 3964, 693, 519, 2212, 540, 654, 1551, 520, 3279, 15880, 267, 827, 1547, 275, 5998, 540, 519, 27505, 518, 25029, 269, 901, 1131, 581, 606, 4998, 5544, 547, 3713, 585, 2025, 11113, 543, 882, 923, 540, 519, 2250, 563, 8448, 15183, 593, 519, 27505, 518, 11818, 941, 1634, 607, 519, 6778, 645, 992, 928, 7108, 14086, 543, 31763, 345, 9197, 5241, 7577, 267, 654, 19123, 30078, 7108, 14086, 7577, 543, 1733, 8636, 629, 2240, 1695, 3162, 7108, 14086, 7577, 269, 6168, 476, 6245, 275, 610, 476, 6245, 276, 267, 18625, 941, 4362, 476, 276, 5998, 5045, 540, 15751, 269, 8871, 2358, 29508, 941, 5833, 267, 855, 519, 2164, 540, 19175, 532, 941, 14922, 532, 563, 763, 21832, 645, 21715, 5456, 302, 630, 528, 9741, 645, 754, 15282, 17719, 264, 729, 13883, 476, 279, 5998, 14926, 615, 569, 689, 6660, 1706, 1074, 320, 267, 713, 1858, 814, 1044, 519, 6429, 540, 26740, 19175, 532, 538, 519, 2250, 269, 11153, 14788, 338, 941, 3141, 330, 2390, 18625, 267, 930, 547, 513, 3178, 540, 476, 1789, 15432, 610, 972, 629, 8083, 267, 855, 1360, 2370, 9836, 1568, 5526, 547, 723, 1044, 2944, 269, 11778, 9863, 5667, 15384, 16371, 267, 4352, 1507, 13603, 1612, 26118, 540, 6149, 8120, 2628, 762, 2418, 267, 607, 23576, 676, 513, 11493, 689, 513, 9030, 3409, 267, 1215, 324, 779, 18370, 1051, 532, 28787, 267, 1500, 538, 476, 6245, 276, 267, 950, 476, 1839, 9748, 540, 6149, 26857, 476, 275, 12063, 476, 273, 546, 342, 339, 540, 4154, 829, 9522, 563, 15674, 5357, 302, 6865, 281, 901, 4154, 7615, 16621, 519, 570, 5429, 600, 267, 30474, 717, 592, 569, 543, 623, 5417, 903, 25065, 4154, 26753, 799, 5526, 547, 723, 1044, 3964, 676, 476, 6942, 276, 269, 1717, 267, 621, 568, 6592, 602, 4154, 729, 1101, 4362, 693, 15484, 7112, 676, 25381, 2904, 1394, 538, 519, 4571, 268, 6977, 271, 779, 538, 519, 15484, 7112, 5211, 269, 4279, 10761, 3576, 1747, 1934, 538, 3735, 476, 6977, 280, 950, 519, 4583, 476, 9610, 26412, 562, 1872, 1326, 3957, 519, 968, 299, 8014, 14332, 523, 892, 729, 11552, 691, 1117, 593, 519, 2361, 269, 630, 19013, 267, 1100, 835, 6487, 1141, 4010, 14386, 901, 729, 13604, 4080, 538, 519, 968, 5415, 2023, 7345, 21676, 8175, 892, 593, 519, 476, 2190, 628, 5412, 540, 602, 1032, 269, 630, 32621, 264, 9232, 2201, 13628, 267, 649, 941, 7957, 10696, 609, 519, 4316, 540, 8524, 532, 713, 5386, 543, 3407, 562, 1872, 1326, 267, 799, 729, 1336, 693, 15484, 7112, 6226, 326, 902, 593, 476, 1428, 628, 1128, 1421, 676, 6276, 13527, 2023, 543, 6723, 15196, 525, 267, 1079, 645, 5142, 321, 2033, 2367, 267, 945, 1185, 1044, 693, 960, 593, 519, 2007, 326, 902, 585, 476, 1015, 3275, 267, 543, 1044, 6382, 3811, 269, 634, 562, 1872, 1326, 267, 799, 22179, 476, 9610, 12063, 338, 538, 519, 14407, 267, 543, 5526, 547, 581, 5176, 782, 20424, 4496, 267, 519, 21247, 1152, 1373, 28507, 1152, 693, 519, 1747, 1141, 621, 729, 13351, 676, 519, 4584, 269, 769, 3337, 621, 568, 513, 6366, 24814, 267, 5176, 476, 273, 6279, 5394, 538, 519, 5394, 652, 851, 267, 543, 568, 9985, 5347, 593, 519, 2627, 267, 607, 1498, 621, 1185, 1044, 1454, 1641, 547, 519, 2962, 540, 1216, 269, 634, 18822, 1265, 619, 723, 3957, 741, 16101, 519, 968, 299, 8014, 14332, 523, 892, 543, 950, 621, 3357, 1524, 676, 519, 26603, 677, 547, 594, 1186, 16049, 593, 13723, 2063, 267, 621, 729, 15597, 17820, 547, 2338, 693, 835, 695, 3739, 829, 2212, 2507, 15301, 31756, 264, 2507, 892 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 763, 2596, 23350, 568, 602, 2798, 585, 16460, 513, 2243, 7157, 538, 519, 3014, 616, 711, 16798, 267, 855, 2864, 519, 6345, 610, 5716, 949, 1205, 2798, 267, 6336, 2798, 267, 1491, 2798, 689, 1776, 2319, 610, 2285, 2798, 547, 1776, 2319, 563, 19530, 762, 5053, 11242, 585, 853, 269, 18536, 779, 4303, 689, 715, 712, 880, 20308, 454, 4322, 616, 6486, 547, 2759, 543, 22495, 622, 585, 946, 609, 5487, 744, 2607, 320, 631, 8500, 670, 3711, 686, 31980, 630, 763, 15020, 12017, 787, 595, 831, 18339, 541, 1040, 1358, 666, 581, 1031, 547, 2689, 3536, 4121, 538, 519, 1650, 676, 4730, 834, 312, 334, 570, 1263, 334, 267, 2372, 514, 570, 1329, 324, 8119, 630, 296, 723, 267, 945, 814, 1040, 634, 6486, 1246, 519, 3688, 543, 5053, 1913, 1031, 538, 519, 1433, 269, 0, 10743, 1451, 513, 2370, 827, 5484, 15284, 607, 789, 14679, 883, 891, 2979, 543, 1603, 2238, 269, 1703, 568, 513, 1507, 16784, 762, 30866, 1141, 1053, 666, 2328, 2188, 593, 519, 3330, 543, 519, 1455, 1297, 693, 519, 1283, 269, 1703, 568, 513, 834, 8005, 729, 519, 9814, 5856, 8119, 1232, 18344, 267, 538, 799, 1053, 2347, 2241, 476, 272, 7857, 8691, 269, 1703, 568, 513, 942, 1899, 1141, 1053, 616, 13934, 547, 1224, 519, 942, 1899, 543, 2626, 2262, 2042, 8506, 1036, 29470, 609, 519, 476, 275, 7857, 2338, 540, 1296, 269, 1703, 568, 513, 737, 2572, 543, 10569, 12805, 2534, 543, 513, 2835, 543, 23445, 2534, 1141, 1053, 6474, 519, 8691, 2042, 630, 16341, 616, 476, 273, 7857, 264, 547, 519, 4267, 269, 769, 1603, 972, 568, 513, 834, 2252, 594, 1185, 513, 6755, 8745, 257, 1603, 5401, 269, 4841, 786, 1451, 827, 875, 5484, 15284, 5206, 896, 513, 15554, 7716, 267, 543, 789, 786, 2263, 519, 2856, 540, 1603, 896, 513, 15554, 7716, 610, 547, 15293, 2328, 269, 1703, 616, 4808, 789, 666, 1246, 607, 10372, 547, 1589, 827, 950, 3206, 909, 741, 1378, 15554, 7716, 267, 607, 1134, 607, 8642, 25696, 547, 948, 873, 10891, 741, 2093, 5693, 543, 2097, 909, 609, 741, 1378, 4050, 4408, 269, 1703, 568, 849, 513, 1592, 540, 10530, 602, 5484, 15284, 568, 20295, 607, 6031, 269, 4841, 666, 3858, 610, 10990, 609, 835, 10839, 267, 543, 2328, 856, 513, 476, 274, 910, 476, 275, 5037, 6644, 4062, 593, 519, 10839, 269, 634, 3677, 16784, 762, 30866, 666, 581, 1031, 585, 1292, 2093, 543, 3877, 267, 607, 1134, 607, 15386, 1344, 827, 18148, 15284, 538, 513, 21641, 610, 607, 513, 16886, 514, 4604, 4159, 269, 1703, 616, 2238, 547, 2259, 3334, 540, 1893, 6575, 267, 971, 607, 1110, 531, 18559, 8270, 2456, 267, 8231, 512, 5151, 267, 4630, 2684, 2158, 630, 11004, 267, 789, 2811, 267, 543, 741, 282, 547, 267, 1932, 267, 543, 1079, 282, 543, 4171, 543, 945, 781, 1040, 8382, 10569, 616, 3769, 1141, 789, 4019, 563, 1607, 568, 593, 9042, 585, 1269, 273, 269, 876, 10396, 14877, 585, 519, 8653, 540, 5988, 476, 2420, 526, 269, 898, 786, 979, 909, 538, 3902, 689, 972, 269, 1677, 10544, 811, 1390, 9388, 267, 1246, 1250, 9365, 2985, 693, 454, 303, 4041, 17955, 6789, 298, 32530, 16739, 1354, 11449, 269, 594, 798, 711, 1616, 596, 547, 581, 27025, 30829, 269, 0, 28317, 1268, 945, 814, 711, 2943, 1500, 1010, 1390, 9295, 547, 2257, 1354, 519, 2085, 540, 476, 1789, 786, 2760, 798, 865, 2223, 1767, 15751, 18160, 269, 1261, 729, 1175, 476, 2918, 950, 646, 3370, 1010, 3069, 540, 25536, 269, 23910, 1772, 3711, 731, 8003, 19839, 601, 729, 476, 2190, 950, 646, 2966, 519, 1849, 604, 2023, 12246, 335, 3290, 15167, 267, 543, 621, 779, 1419, 1767, 602, 20266, 27591, 3812, 1010, 20923, 960, 538, 1010, 1000, 550, 625, 563, 3719, 616, 649, 32737, 1869, 1419, 4667, 547, 581, 4607, 7326, 538, 519, 9036, 2443, 2731, 936, 519, 14629, 21176, 6340, 676, 519, 942, 649, 5734, 476, 1789, 286, 2005, 779, 513, 2243, 602, 19174, 723, 1044, 11432, 1359, 585, 1296, 269, 1656, 267, 25747, 267, 741, 2626, 568, 513, 2282, 10595, 1392, 531, 1100, 563, 9303, 9461, 6248, 1382, 267, 585, 3236, 267, 513, 1560, 540, 960, 5645, 856, 6140, 676, 3864, 543, 1977, 17163, 16895, 267, 814, 13986, 547, 2268, 875, 3860, 1004, 616, 693, 1114, 6502, 267, 676, 9477, 519, 2179, 543, 2298, 540, 960, 789, 3132, 269, 1656, 267, 1759, 593, 922, 1239, 267, 1082, 4966, 3494, 602, 938, 8445, 540, 5876, 568, 1447, 547, 798, 609, 938, 2085, 982, 609, 938, 3924, 269, 4053, 5974, 543, 5159, 267, 585, 1383, 267, 3100, 547, 798, 741, 1655, 960, 538, 741, 476, 1789, 338, 543, 476, 2412, 338, 267, 543, 11430, 3740, 15023, 1063, 476, 2918, 543, 476, 4029, 267, 1247, 3209, 1235, 4043, 547, 8445, 1063, 476, 2412, 543, 476, 4510, 267, 8103, 5640, 538, 741, 476, 2568, 338, 267, 543, 3744, 1063, 519, 6502, 540, 476, 2412, 543, 476, 3583, 563, 17843, 11678, 2154, 1114, 5666, 540, 1995, 543, 1702, 1354, 1761, 666, 581, 2322, 883, 2259, 267, 6941, 2160, 540, 4993, 6530, 7548, 25760, 3223, 603, 17363, 2023, 269, 968, 5278, 7853, 666, 1451, 1034, 540, 1018, 789, 991, 547, 917, 827, 6128, 693, 513, 1360, 1762, 2085, 267, 543, 2253, 1818, 1713, 7418, 538, 519, 2361, 2223, 646, 3081, 269, 1809, 513, 10196, 1522, 2154, 1296, 540, 1382, 543, 5698, 1354, 513, 2596, 3069, 666, 581, 1483, 2213, 269, 968, 2005, 3576, 8176, 16817, 1296, 547, 4487, 543, 1418, 1047, 1018, 646, 2877, 547, 917, 547, 2328, 2048, 763, 18882, 540, 15661, 19028, 20118, 267, 3081, 7905, 17363, 2023, 267, 513, 11430, 3740, 10564, 666, 795, 582, 1524, 1010, 4555, 14678, 267, 855, 519, 811, 1950, 2553, 543, 3152, 1272, 1995, 2877, 547, 2328, 513, 3209, 949, 1491, 5756, 547, 10536, 269, 4033, 4966, 2709, 1114, 6436, 593, 1946, 5876, 991, 333, 1406, 3247, 538, 707, 7820, 1296, 269, 7905, 6424, 8895, 21672, 267, 540, 519, 8257, 540, 9297, 693, 519, 2160, 540, 9628, 267, 11099, 21184, 525, 1765, 2436, 538, 1148, 267, 6189, 610, 1256, 1870, 2443, 2097, 538, 1079, 1114, 3029, 281, 12497, 543, 8097, 3048, 2209, 563, 3519, 24632, 1235, 798, 741, 14634, 960, 2038, 267, 7488, 540, 741, 2361, 267, 1317, 789, 11214, 917, 538, 4434, 1018, 789, 4126, 547, 3035, 269, 20266, 27591, 267, 585, 3236, 267, 2219, 998, 1010, 960, 5402, 1354, 8380, 11453, 547, 1957, 267, 865, 1010, 2038, 1148, 568, 1726, 25979, 585, 922, 8798, 267, 855, 1010, 2663, 2443, 543, 1447, 4195, 2443, 960, 3884, 1406, 3833, 865, 1134, 15696, 12023, 563, 301, 12078, 10601, 3943, 18048, 6754, 595, 2946, 345, 22828, 267, 2705, 267, 729, 606, 8097, 626, 945, 5249, 676, 4693, 543, 5470, 1510, 513, 2312, 3804, 267, 7930, 4824, 1010, 4480, 267, 543, 3812, 1010, 1655, 960, 950, 646, 729, 538, 1010, 476, 2412, 338, 269, 2659, 6381, 949, 849, 1404, 513, 2462, 1909, 538, 707, 5876, 269, 23397, 626, 3057, 2088, 10197, 344, 1188, 320, 729, 476, 6795, 950, 1200, 1655, 5498, 29818, 26813, 3209, 589, 10374, 3778, 540, 570, 847, 832, 538, 21977, 729, 3370, 269, 968, 1103, 1250, 476, 2004, 338, 267, 594, 6368, 1185, 942, 547, 8885, 2223, 1352, 3081, 269, 968, 296, 729, 2324, 851, 6066, 267, 1250, 1920, 4769, 1406, 991, 1454, 3007, 267, 543, 594, 1223, 6108, 1250, 22302, 3108, 3257, 1945, 594, 2731, 6068, 3034, 1103, 1203, 528, 7066, 341, 528, 7345, 5894, 14659, 5876, 568, 711, 827, 2085, 267, 855, 827, 694, 1944, 519, 4090, 269, 1261, 729, 538, 1010, 4571, 268, 2004, 338, 950, 646, 2813, 519, 2842, 5346, 5925, 538, 476, 1960, 272, 269, 968, 296, 1223, 723, 1044, 8384, 22067, 667, 3496, 267, 855, 972, 729, 513, 1867, 827, 519, 3262, 540, 589, 1749, 543, 875, 519, 5925, 729, 519, 1655, 1259, 540, 3478, 519, 1857, 1072, 5048, 2066, 2223, 3081, 7345, 5894, 267, 1631, 476, 4037, 269, 968, 296, 1185, 513, 8755, 540, 6667, 267, 543, 602, 666, 4755, 693, 1022, 2085, 3034, 763, 1382, 1281, 2303, 267, 2705, 267, 602, 938, 5876, 786, 1419, 533, 2678, 856, 607, 649, 2085, 267, 952, 649, 1376, 13461, 1932, 1454, 593, 4540, 1702, 543, 6836, 7146, 2389, 6479, 2994, 267, 2864, 982, 19234, 543, 3048, 908, 269, 5369, 6048, 3220, 3223, 603, 27517, 9807, 267, 2278, 540, 4112, 8724, 27065, 267, 3081, 649, 991, 547, 4831, 713, 2429, 938, 2729, 676, 968, 14048, 1007, 8631, 267, 11287, 8966, 3871, 267, 543, 2542, 269, 1411, 991, 547, 6445, 707, 2247, 609, 513, 3099, 540, 4195, 1344, 267, 2035, 543, 1702, 269, 2334, 779, 519, 6151, 1570, 540, 5876, 3034, 10144, 945, 723, 6450, 2393, 539, 741, 8186, 899, 713, 1331, 4460, 717, 746, 267, 476, 7367, 267, 513, 5449, 2749, 911, 1457, 543, 19784, 267, 945, 3576, 909, 11647, 1818, 1079, 1296, 3516, 31422, 5475, 476, 1839, 1296, 538, 519, 2923, 267, 594, 729, 4742, 1932, 1079, 8820, 543, 2877, 547, 723, 513, 1689, 269, 10435, 1919, 609, 707, 3946, 568, 2731, 17598, 267, 543, 707, 2247, 1579, 1513, 540, 782, 519, 20060, 1619, 267, 6214, 543, 2566, 3034, 23178, 17363, 2023, 814, 1185, 513, 2147, 1995, 269, 968, 2691, 594, 9411, 1250, 476, 2004, 338, 267, 594, 3323, 11842, 2436, 1250, 5876, 729, 15018, 909, 269, 2368, 540, 1250, 1382, 2093, 8604, 547, 3914, 513, 2067, 1439, 1448, 269, 1924, 594, 6410, 883, 513, 1007, 1858, 1496, 28291, 316, 543, 3459, 2324, 593, 14557, 26517, 5876, 543, 15312, 267, 28285, 538, 1079, 2835, 12544, 1007, 25755, 593, 1250, 3860, 1272, 1848, 1261, 8591, 602, 267, 4352, 2085, 949, 538, 519, 1439, 1118, 707, 2247, 1447, 11327, 543, 8572, 547, 5352, 607, 1082, 2093, 267, 519, 2298, 540, 1346, 596, 798, 723, 666, 581, 607, 1434, 610, 1732, 982, 1354, 269, 1656, 1995, 543, 6791, 786, 5512, 596, 547, 2936, 873, 18334, 269, 2311, 476, 5038, 267, 646, 7472, 4574, 538, 2484, 1447, 942, 982, 1010, 10927, 1053, 563, 3383, 2085, 267, 621, 4667, 267, 991, 711, 581, 513, 2101, 11064, 547, 513, 11327, 267, 2093, 23752, 1272, 269, 18466, 32109, 5249, 593, 853, 8834, 779, 29092, 3821, 267, 7507, 267, 883, 1010, 476, 3199, 338, 267, 476, 4037, 4458, 6040, 11184, 681, 573, 2917, 8845, 3788, 513, 30508, 4670, 20447, 267, 543, 7338, 32525, 267, 23266, 540, 519, 3167, 1769, 15941, 267, 729, 1767, 547, 1711, 835, 14664, 762, 2856, 1169, 1079, 4374, 1318, 909, 2394, 1010, 2669, 693, 476, 10019, 563, 16605, 16706, 707, 2634, 543, 267, 952, 596, 2461, 3257, 1390, 1919, 1631, 267, 972, 779, 1100, 2601, 1946, 596, 4465, 1406, 581, 3257, 865, 1134, 883, 707, 12297, 720, 563, 26835, 11300, 2311, 7102, 6520, 454, 4322, 4274, 4388, 786, 948, 1832, 707, 2247, 4195, 693, 1169, 3942, 540, 1272, 563, 736, 268, 547, 476, 2412, 4458, 29419, 454, 272, 269, 1403, 596, 2461, 2679, 513, 4876, 610, 1920, 267, 5876, 1419, 4991, 2322, 593, 519, 1394, 6633, 518, 269, 21480, 513, 942, 538, 707, 19701, 30867, 5662, 1354, 5127, 267, 2161, 1765, 1721, 1945, 899, 13465, 267, 5373, 610, 1603, 269, 1403, 596, 666, 267, 6443, 513, 1603, 1895, 267, 26095, 5858, 610, 1781, 597, 267, 3565, 547, 2228, 15473, 267, 610, 1376, 707, 1378, 5816, 269, 645, 23395, 2093, 1055, 1866, 945, 2285, 596, 11215, 5955, 10173, 519, 3860, 1184, 563, 273, 269, 2311, 713, 2085, 267, 596, 949, 1869, 3494, 602, 2093, 1152, 2097, 538, 513, 8755, 540, 21184, 267, 2864, 982, 998, 1296, 540, 2182, 960, 269, 901, 4305, 3947, 596, 513, 2631, 540, 875, 3384, 10888, 2035, 666, 4125, 1981, 543, 1818, 1896, 8959, 8942, 269, 19147, 513, 1957, 883, 2185, 269, 22443, 835, 4737, 968, 7538, 543, 8723, 2093, 892, 543, 519, 824, 968, 13092, 543, 14634, 2093, 6100, 22443, 835, 6241, 968, 14683, 569, 15164, 543, 3730, 892, 543, 519, 824, 968, 18528, 2159, 543, 540, 15458, 946, 6100, 10925, 707, 2093, 883, 891, 9076, 1218, 2443, 713, 786, 948, 596, 960, 856, 799, 3283, 616, 1655, 563, 2412, 268, 547, 476, 2004, 4458, 29419, 454, 272, 269, 3680, 707, 2634, 1793, 6235, 883, 6836, 7146, 2389, 6479, 2081, 540, 3206, 676, 546, 13741, 1782, 538, 1945, 596, 917, 4986, 827, 2443, 581, 621, 1286, 5826, 610, 2672, 25206, 7793, 6291, 269, 3367, 4930, 267, 979, 547, 19014, 543, 798, 6030, 269, 13185, 547, 1004, 945, 616, 1007, 610 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2984, 827, 834, 20130, 7015, 257, 543, 519, 8748, 2575, 789, 3812, 563, 15288, 12678, 11123, 30264, 12678, 910, 8863, 3198, 12283, 910, 966, 22432, 302, 454, 257, 4002, 519, 2627, 540, 519, 1158, 1318, 1631, 972, 568, 2112, 543, 5208, 543, 1919, 3100, 4158, 269, 1809, 9350, 569, 543, 23900, 267, 693, 519, 1482, 942, 267, 1945, 3116, 568, 8345, 11895, 269, 1323, 6418, 4838, 568, 2921, 1747, 543, 1978, 2043, 616, 1373, 1572, 547, 513, 2362, 1769, 269, 898, 568, 513, 14980, 4838, 689, 519, 3330, 856, 267, 689, 519, 2666, 909, 563, 2005, 568, 942, 585, 803, 547, 7866, 8885, 269, 594, 993, 606, 11251, 8665, 540, 606, 5728, 267, 896, 16225, 595, 1633, 32347, 6820, 5106, 267, 513, 5289, 24242, 269, 1284, 723, 11739, 4177, 2281, 538, 1169, 4182, 593, 519, 4541, 269, 1411, 4465, 1405, 1294, 721, 593, 519, 570, 17679, 269, 1411, 4465, 1405, 1224, 827, 721, 538, 519, 11356, 269, 1411, 4465, 1405, 5873, 827, 721, 593, 519, 678, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 20812, 8958, 257, 607, 851, 540, 834, 16300, 16337, 1315, 2657, 1299, 11545, 12389, 1315, 11545, 11242, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 2878, 16215, 7170, 281, 10289, 7977, 3414, 17912, 910, 19594, 14114, 5516, 4373, 8702, 547, 713, 3078, 1770, 1141, 649, 786, 23365, 6000, 538, 519, 4190, 2528, 540, 7977, 676, 8384, 543, 1565, 827, 513, 2295, 342, 9879, 17245, 1572, 834, 2420, 1701, 901, 4670, 6645, 519, 1650, 540, 519, 645, 4048, 320, 1920, 543, 741, 2027, 1747, 1572, 834, 289, 792, 14114, 5516, 2437, 799, 2488, 1416, 585, 1453, 609, 2789, 9124, 269, 1635, 3695, 713, 7260, 1927, 267, 596, 3513, 1205, 547, 917, 811, 827, 7969, 1893, 267, 5389, 267, 543, 2418, 2439, 265, 8893, 476, 272, 281, 4985, 547, 7977, 543, 4706, 9177, 22177, 2005, 3315, 568, 513, 2197, 4092, 538, 8828, 2342, 267, 1634, 585, 922, 3638, 1686, 267, 8949, 1426, 267, 10875, 8916, 267, 543, 3309, 2686, 6561, 269, 32228, 2103, 616, 10583, 540, 741, 9821, 543, 5389, 267, 1082, 540, 799, 723, 1044, 5293, 1524, 998, 5481, 269, 2368, 2442, 7969, 5389, 1331, 14120, 5487, 14080, 320, 546, 7578, 3115, 889, 321, 997, 320, 630, 11847, 3016, 4303, 264, 543, 11981, 2757, 6980, 1282, 8285, 543, 14914, 780, 265, 8893, 476, 273, 281, 15775, 21733, 20557, 609, 11657, 2456, 22177, 291, 17805, 2456, 616, 9413, 602, 1397, 1483, 1004, 543, 2621, 3079, 540, 11051, 543, 14070, 2984, 269, 1358, 666, 4001, 721, 3407, 4245, 827, 1114, 4529, 543, 7239, 1247, 849, 19278, 721, 269, 834, 2420, 257, 568, 606, 5140, 1383, 1317, 621, 8843, 513, 15700, 9661, 540, 2648, 267, 8296, 267, 543, 8990, 1369, 519, 2796, 540, 7969, 1272, 780, 265, 8893, 476, 274, 281, 4804, 9978, 7969, 1912, 29320, 22177, 9961, 938, 3460, 267, 649, 3513, 1451, 930, 1898, 7969, 1913, 543, 2453, 899, 834, 31807, 784, 1640, 7224, 10590, 630, 14187, 6640, 1070, 834, 294, 23432, 773, 257, 630, 14188, 596, 1070, 834, 303, 2958, 334, 257, 630, 2791, 2811, 10950, 1070, 834, 8110, 7957, 648, 257, 630, 8923, 1070, 543, 834, 6635, 337, 1882, 518, 857, 257, 630, 14187, 25742, 1040, 1452, 2474, 786, 948, 15052, 707, 4276, 609, 519, 3197, 543, 4259, 538, 834, 2420, 3010, 265, 8893, 476, 275, 281, 4197, 26225, 543, 20504, 766, 538, 7977, 22177, 1103, 7977, 267, 972, 814, 1044, 3356, 2509, 2870, 8537, 5054, 585, 2043, 609, 9124, 269, 19198, 899, 519, 23394, 553, 6542, 875, 789, 1683, 11108, 1489, 1949, 585, 891, 3214, 693, 4025, 971, 607, 19594, 14114, 5516, 269, 2060, 834, 2420, 2580, 649, 7747, 519, 2956, 540, 1620, 543, 6568, 1851, 3885, 543, 2950, 950, 12391, 585, 1346, 609, 2027, 2115, 780, 265, 8893, 476, 276, 281, 2561, 21090, 540, 3203, 2065, 20309, 22177, 9209, 4249, 606, 1271, 1909, 538, 7969, 2528, 267, 1519, 21576, 269, 8606, 7825, 5474, 946, 23877, 267, 3280, 339, 13715, 267, 5188, 267, 543, 11049, 2553, 547, 6655, 4664, 543, 6835, 3927, 269, 1280, 3236, 267, 21917, 853, 1030, 534, 24380, 565, 22603, 8591, 3178, 547, 834, 2420, 257, 609, 1010, 3312, 2575, 6060, 780, 265, 8893, 476, 277, 281, 14506, 543, 17583, 22177, 5475, 8384, 834, 2420, 2580, 1589, 827, 1018, 596, 4121, 827, 7969, 2528, 267, 1920, 6384, 267, 543, 9659, 4656, 269, 1215, 1281, 519, 4670, 8300, 2463, 543, 11587, 286, 1548, 824, 3344, 540, 7969, 2486, 1131, 596, 899, 547, 2263, 2417, 286, 9523, 707, 4555, 609, 15032, 543, 2015, 2081, 596, 1522, 4019, 519, 4798, 4843, 538, 707, 3232, 1272, 780, 3528, 9284, 532, 3054, 538, 7969, 2528, 3842, 834, 2420, 2580, 596, 24389, 593, 513, 12300, 7045, 4904, 609, 1007, 2833, 543, 4030, 269, 15566, 5275, 856, 3255, 547, 5660, 1585, 4654, 267, 12583, 267, 543, 5380, 1107, 945, 6487, 1141, 707, 7279, 949, 1291, 596, 1985, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 1708, 274, 1284, 5269, 20176, 625, 4139, 17912, 16635, 454, 266, 476, 276, 2395, 454, 266, 476, 15836, 8874, 3245, 15907, 519, 2622, 454, 266, 476, 3374, 19154, 8016, 16775, 5508, 11550, 16165, 4456, 300, 5058, 1299, 9501, 4488, 24361, 12601, 19006, 454, 266, 259, 736, 32182, 654, 3633, 301, 2464, 31165, 4149, 7419, 31165, 454, 266, 1284, 590, 8491, 1411, 589, 10323, 2969, 454, 11754, 513, 2140, 1934, 269, 5269, 621, 12050, 543, 26374, 269, 8437, 547, 12575, 563, 288, 19622, 15022, 603, 6048, 19380, 1010, 15400, 1382, 547, 513, 9490, 543, 8966, 6177, 269, 1306, 646, 11394, 547, 2697, 922, 21372, 2249, 543, 5169, 267, 519, 1899, 1063, 2470, 543, 20741, 3587, 688, 5414, 563, 23742, 7825, 6033, 12713, 281, 3689, 942, 27752, 270, 17445, 528, 29336, 15838, 4591, 761, 345, 267, 513, 2487, 10927, 689, 21060, 6019, 4400, 3427, 540, 519, 8551, 267, 14405, 6667, 689, 5626, 26497, 619, 543, 9060, 4313, 538, 519, 13943, 563, 290, 770, 281, 3627, 23715, 787, 267, 21142, 7665, 5459, 267, 715, 2967, 807, 700, 26953, 773, 1315, 21277, 1356, 281, 9253, 20811, 4591, 761, 345, 1315, 10615, 281, 29336, 15838, 4591, 761, 345, 1315, 27752, 281, 29336, 15838, 4591, 761, 345, 1315, 28037, 14670, 19212, 281, 769, 334, 18708, 7377, 704, 1315, 15503, 281, 20182, 9149, 1315, 1290, 1842, 518, 281, 853, 1030, 534, 24380, 565, 22603, 454, 257, 2420, 257, 568, 519, 1650, 540, 519, 645, 4048, 320, 1920, 543, 741, 2189, 9744, 834, 289, 792, 14114, 5516, 257, 585, 1453, 609, 2789, 9124, 269, 634, 4670, 1011, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 24292, 8056, 619, 542, 998, 17912, 543, 9012, 257, 607, 851, 540, 834, 293, 16800, 22218, 700, 20315, 308, 17803, 29898, 1315, 7969, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2866, 547, 7500, 873, 269, 901, 7182, 1239, 24339, 26494, 563, 268, 4578, 14839, 2645, 281, 5381, 547, 19739, 2645, 267, 1239, 14839, 3301, 2636, 3755, 547, 2490, 9184, 983, 1239, 883, 7851, 267, 21686, 15236, 543, 824, 21370, 3029, 269, 1452, 1118, 621, 811, 8903, 543, 24669, 547, 3755, 269, 1717, 267, 607, 609, 19739, 2645, 267, 1082, 1239, 14839, 5867, 2154, 6791, 543, 2866, 547, 581, 1031, 7157, 563, 4407, 3906, 723, 16539, 8185, 538, 741, 1239, 10518, 538, 2474, 540, 1312, 2029, 27121, 543, 9952, 4966, 547, 2196, 741, 1239, 2359, 1949, 267, 789, 1869, 6560, 547, 1205, 2407, 1871, 689, 741, 1239, 269, 901, 568, 1317, 741, 10518, 19330, 513, 1239, 1995, 4494, 602, 6087, 873, 547, 3927, 2671, 543, 24339, 520, 1125, 741, 1239, 693, 4336, 563, 288, 1239, 1995, 1907, 18795, 1369, 707, 1239, 2359, 3301, 10518, 543, 2882, 1883, 2934, 602, 1450, 596, 547, 912, 268, 4045, 547, 782, 1239, 2959, 547, 3142, 1239, 1927, 267, 16382, 621, 814, 1044, 2813, 610, 6740, 454, 268, 28389, 1239, 547, 2087, 2298, 676, 7311, 21932, 547, 3044, 1125, 543, 10802, 1239, 609, 5007, 14449, 454, 268, 6583, 1501, 1239, 998, 3532, 2934, 602, 16102, 2298, 543, 1118, 2359, 543, 7245, 2241, 543, 3551, 269, 634, 1907, 1058, 25117, 1883, 4247, 267, 971, 607, 519, 5137, 543, 4687, 540, 27034, 547, 2333, 4398, 454, 268, 10439, 1125, 1239, 998, 2653, 3562, 14025, 1100, 3009, 2645, 602, 1611, 1875, 7721, 704, 1206, 666, 3533, 1711, 8903, 1239, 32331, 454, 268, 9523, 1239, 538, 2081, 602, 3895, 3152, 19074, 676, 782, 1107, 689, 29026, 585, 4274, 3755, 547, 4647, 998, 3044, 3758, 12043, 547, 2671, 762, 6402, 267, 2139, 593, 1930, 1239, 2823, 1023, 267, 4835, 1239, 2344, 17541, 543, 7649, 2823, 1023, 563, 268, 21302, 875, 1239, 568, 1373, 1031, 543, 3838, 998, 1239, 22871, 7207, 269, 901, 2337, 1174, 1239, 8928, 1369, 707, 3919, 543, 4061, 2087, 1239, 2359, 563, 278, 269, 6201, 540, 5561, 602, 4383, 519, 1239, 29488, 609, 744, 12323, 21648, 21510, 454, 19913, 928, 3187, 11272, 1107, 2870, 4835, 543, 5007, 1239, 2833, 454, 19913, 928, 3187, 11272, 3096, 513, 2039, 540, 3435, 547, 4383, 1239, 2066, 922, 29488, 267, 4180, 621, 10742, 10350, 543, 4687, 4170, 269, 901, 2882, 6531, 4859, 998, 9786, 10897, 675, 543, 922, 13096, 5419, 802, 1239, 10720, 5264, 3070, 269, 1452, 3049, 1239, 883, 519, 744, 12323, 21648, 21510, 3760, 267, 1141, 5576, 928, 3187, 11272, 5932, 1239, 2833, 799, 616, 3838, 998, 922, 16510, 1239, 543, 2533, 19458, 563, 14737, 3588, 540, 22505, 1107, 1239, 2359, 547, 2087, 3375, 6194, 454, 763, 3943, 12080, 540, 22505, 25173, 513, 2039, 540, 4835, 543, 5007, 1239, 267, 689, 2229, 8041, 1519, 519, 12080, 540, 2657, 543, 519, 3943, 2817, 10803, 16958, 630, 27486, 7417, 1040, 1452, 616, 782, 21438, 1369, 519, 744, 12323, 21648, 21510, 3760, 1141, 789, 616, 5423, 543, 23353, 269, 4578, 568, 1287, 3838, 998, 32331, 543, 556, 4926, 609, 2797, 3375, 24237, 267, 4891, 267, 4213, 543, 519, 2489, 1857, 563, 299, 600, 773, 4573, 3241, 548, 281, 3844, 1944, 1239, 547, 5512, 4687, 454, 11900, 4269, 2754, 19681, 773, 814, 1500, 744, 12323, 21648, 21510, 519, 22294, 540, 922, 1239, 2359, 4640, 269, 2353, 1239, 267, 2436, 6394, 24323, 610, 608, 27238, 676, 7649, 3906, 267, 568, 21438, 593, 519, 744, 9169, 3760, 269, 898, 568, 1287, 3838, 3842, 519, 3760, 538, 2789, 12043, 267, 971, 607, 3842, 21686, 15236, 585, 5520, 267, 609, 922, 2098, 2129, 334, 10911, 300, 3070, 543, 824, 4835, 1949, 3842, 29026, 543, 609, 5561, 998, 922, 6131, 6075, 543, 7649, 2823, 1023, 269, 0, 16829, 593, 281, 5437, 476, 1789, 267, 476, 1708, 274, 454, 290, 1245, 16661, 8881, 281, 31071, 12708, 338, 454, 2026, 519, 2837, 12772, 543, 5162, 5036, 538, 267, 4180, 519, 3106, 543, 1134, 5630, 540, 5520, 2324, 538, 4411, 4365, 3587, 513, 1283, 10862, 585, 12820, 269, 12019, 2566, 10898, 666, 10460, 4049, 4220, 547, 4600, 262, 1072, 543, 7607, 267, 1818, 621, 2629, 547, 2936, 1697, 3106, 3800, 269, 769, 713, 5816, 2022, 267, 649, 3513, 2263, 1898, 2994, 585, 7303, 4411, 2566, 538, 519, 9036, 267, 689, 7114, 10898, 547, 3246, 519, 1318, 7802, 543, 3937, 563, 290, 1245, 2566, 4386, 950, 3002, 2530, 568, 811, 4028, 982, 519, 1560, 666, 3132, 267, 20392, 4600, 547, 4220, 971, 607, 4049, 10108, 267, 7063, 267, 543, 5160, 3441, 269, 7756, 2127, 540, 519, 2197, 1995, 4411, 2566, 8335, 267, 609, 2282, 6954, 4506, 5210, 7700, 547, 519, 2783, 269, 634, 2842, 28306, 1198, 2306, 3002, 4734, 519, 1560, 811, 3533, 269, 22911, 1145, 610, 14927, 1145, 666, 849, 3565, 547, 519, 3390, 563, 3383, 267, 875, 4411, 1281, 621, 723, 547, 581, 286, 12019, 5210, 1810, 1405, 723, 547, 581, 2630, 16171, 269, 14523, 1278, 8926, 666, 2049, 1256, 693, 5210, 1657, 476, 2412, 4113, 674, 1813, 547, 4764, 267, 17570, 267, 610, 4411, 1216, 563, 268, 8056, 619, 542, 20081, 3402, 14272, 281, 570, 3402, 3723, 568, 513, 1875, 6954, 4506, 3723, 5945, 3361, 676, 12675, 4598, 547, 6632, 543, 4411, 2175, 267, 1256, 538, 5210, 607, 1164, 607, 476, 2568, 13790, 269, 22911, 3952, 6336, 3002, 476, 1839, 2053, 5488, 982, 3819, 3952, 267, 4929, 5945, 563, 268, 29778, 321, 924, 281, 29778, 321, 924, 568, 3361, 676, 519, 2960, 543, 8031, 16171, 269, 29778, 321, 924, 666, 2014, 9434, 2168, 3441, 543, 267, 538, 4049, 2665, 267, 993, 1584, 566, 563, 268, 14523, 1278, 8926, 281, 14523, 1278, 8926, 4386, 950, 519, 1560, 781, 2837, 12772, 2630, 476, 4817, 13790, 267, 4929, 621, 547, 6336, 3002, 5488, 982, 621, 666, 3132, 269, 901, 22930, 540, 6740, 1648, 5012, 547, 25983, 958, 1970, 1560, 2837, 563, 268, 932, 559, 4565, 1622, 281, 932, 559, 4565, 1622, 616, 11213, 5343, 725, 540, 6263, 1973, 8043, 538, 519, 2960, 3812, 676, 12675, 4598, 547, 5210, 8151, 689, 1175, 1657, 16171, 547, 476, 2568, 13790, 563, 7197, 1004, 945, 1995, 4411, 2566, 693, 960, 616, 13964, 269, 12846, 267, 621, 666, 849, 4755, 547, 5520, 945, 960, 16280, 538, 796, 515, 730, 610, 22393, 669, 2683, 1568, 335, 2167, 267, 971, 607, 14023, 2209, 610, 1863, 345, 619, 563, 17829, 609, 4617, 10009, 267, 25161, 22825, 267, 543, 1991, 15470, 321, 924, 949, 581, 3226, 7925, 269, 634, 8594, 540, 4411, 2566, 585, 6534, 10986, 14380, 607, 2842, 3432, 4679, 1317, 621, 2306, 519, 669, 11035, 2011, 2837, 1745, 1256, 8338, 269, 11790, 7700, 547, 4411, 2566, 1331, 912, 268, 22911, 1145, 7933, 2086, 1145, 267, 20025, 9660, 267, 543, 13110, 1145, 454, 268, 20530, 529, 19397, 3676, 1331, 13119, 267, 30847, 267, 543, 3987, 454, 268, 769, 1228, 12930, 2168, 8516, 454, 7212, 13013, 11190, 1281, 711, 723, 513, 1808, 3044, 602, 6227, 2324, 538, 4411, 5054, 267, 12820, 723, 513, 10279, 547, 2149, 4600, 689, 6444, 10898, 267, 1519, 4411, 2566, 10898, 267, 602, 616, 4929, 610, 616, 2693, 547, 2014, 2669, 610, 3978, 2800, 538, 519, 9036, 269, 14146, 619, 1590, 5721, 741, 5520, 269, 9751, 1058, 17663, 519, 1739, 3334, 912, 268, 1215, 547, 2697, 2825, 543, 9036, 2188, 602, 666, 1291, 547, 4411, 2566, 563, 268, 634, 2589, 540, 4411, 2566, 267, 875, 547, 2061, 621, 267, 543, 1018, 596, 666, 798, 547, 5351, 1346, 4299, 563, 268, 1215, 547, 10571, 14013, 585, 4411, 267, 14927, 267, 543, 2842, 344, 4365, 563, 32715, 619, 1058, 798, 519, 1739, 912, 268, 5901, 606, 3750, 593, 519, 4600, 262, 2168, 2783, 563, 268, 14190, 519, 1560, 547, 3636, 909, 676, 2921, 2834, 5618, 26520, 538, 3636, 267, 3819, 5468, 563, 268, 4518, 2429, 519, 3636, 652, 851, 540, 519, 1554, 563, 268, 2422, 519, 14609, 344, 1505, 630, 1740, 538, 2516, 540, 1079, 610, 811, 1916, 268, 24953, 267, 6653, 16098, 1058, 581, 6039, 269, 3680, 23931, 16098, 563, 268, 10965, 871, 593, 1164, 21307, 8510, 3433, 3688, 547, 3251, 16138, 1639, 563, 268, 3680, 11953, 2960, 3346, 609, 4411, 4496, 610, 6632, 7252, 563, 268, 7177, 8060, 267, 971, 607, 32689, 28909, 267, 1058, 581, 3177, 563, 17829, 5520, 693, 1981, 1058, 1174, 4411, 2566, 10898, 543, 2936, 14319, 547, 2087, 3106, 538, 4411, 5054, 269, 14146, 619, 1590, 2708, 4600, 262, 4598, 1981, 543, 1544, 2922, 960, 11056, 1759, 593, 2842, 28306, 2837, 269, 898, 568, 2629, 547, 6218, 519, 2168, 1533, 1282, 11645, 267, 2523, 585, 1007, 4600, 610, 13059, 1310, 513, 1974, 540, 9000, 563, 13014, 2386, 596, 1174, 519, 10898, 540, 2324, 538, 519, 4411, 543, 519, 3800, 602, 666, 2087, 11832, 3106, 676, 8391, 519, 1697, 13013, 11190, 10687, 680, 5050, 2866, 269, 2311, 476, 11740, 32086, 267, 649, 2709, 1082, 6030, 267, 1312, 2228, 543, 538, 1268, 267, 547, 5721, 596, 543, 707, 5234, 593, 519, 3617, 3106, 3800, 269, 20043, 971, 607, 912, 268, 13013, 11190, 476, 1015, 6953, 712, 14716, 9751, 6092, 454, 268, 13013, 11190, 476, 1789, 6953, 712, 14716, 9751, 6092, 454, 268, 13013, 11190, 476, 1789, 6953, 712, 4937, 12752, 9751, 6092, 454, 268, 13013, 11190, 476, 1015, 6953, 712, 4937, 12752, 9751, 6092, 454, 13425, 856, 938, 17048, 543, 18934, 538, 519, 1576, 602, 568, 1318, 585, 596, 256, 0, 4263, 681, 3739, 2023, 12729, 3427, 267, 938, 3203, 6437, 30242, 547, 8300, 543, 1020, 5876, 267, 4161, 267, 4497, 543, 5000, 938, 1453, 547, 2769, 2933, 998, 10452, 593, 543, 6721, 4773, 540, 1148, 269, 898, 28382, 873, 609, 1702, 543, 1983, 998, 3255, 547, 2263, 1114, 2553, 267, 5159, 543, 2923, 563, 2171, 4126, 547, 1020, 938, 1453, 607, 5159, 676, 20392, 873, 547, 3309, 1148, 2833, 267, 4758, 873, 606, 7499, 5639, 543, 5337, 1746, 513, 1272, 17489, 7287, 547, 2972, 1148, 540, 1866, 543, 581, 3860, 2933, 269, 2060, 2834, 3255, 543, 2833, 585, 873, 547, 2992, 267, 1451, 543, 6218, 11247, 786, 23365, 873, 609, 1148, 543, 1831, 8746, 267, 3860, 5159, 563, 4263, 681, 3739, 2023, 12729, 3427, 782, 1453, 786, 1491, 851, 538, 1148, 4245, 1142, 2165, 609, 824, 3255, 547, 1995, 1148, 693, 26847, 543, 2744, 1983, 689, 9683, 5159, 269, 3203, 4245, 616, 6026, 547, 1142, 1032, 1895, 1739, 519, 11144, 3561, 563, 10376, 18843, 2306, 1453, 781, 1991, 543, 2104, 1565, 2312, 267, 6029, 875, 3450, 13352, 883, 519, 1453, 781, 9962, 1565, 3460, 269, 28392, 9709, 6863, 543, 6700, 5159, 543, 5931, 2327, 17003, 568, 2502, 585, 519, 1453, 563, 763, 1292, 6101, 2609, 540, 1148, 602, 786, 581, 6026, 2066, 5373, 267, 7206, 543, 17001, 616, 912, 763, 1453, 786, 1451, 1312, 1702, 543, 1983, 538, 513, 11636, 6073, 1142, 1032, 563, 288, 2312, 1544, 540, 11144, 585, 17250, 1504, 960, 7132, 513, 5094, 835, 585, 30228, 543, 6268, 741, 960, 267, 2982, 1164, 6788, 543, 875, 741, 1983, 538, 782, 2127, 616, 2919, 607, 789, 1847, 998, 519, 1153, 563, 763, 1453, 538, 661, 312, 12396, 616, 5189, 912, 268, 1677, 9108, 946, 543, 2263, 513, 3099, 540, 2326, 267, 2645, 543, 2553, 267, 19234, 609, 7990, 267, 1374, 267, 9403, 267, 1106, 543, 1599, 282, 20620, 268, 9523, 741, 13144, 267, 7713, 519, 1184, 789, 723, 1031, 3248, 268, 5269, 946, 540, 605, 1186, 543, 2326, 950, 1909, 4730, 3197, 538, 6386, 543, 2984, 454, 763, 1453, 538, 23794, 272, 2253, 1565, 2596, 1983, 543, 2553, 998, 5373, 267, 7206, 543, 17001, 267, 799, 1331, 912, 268, 15331, 532, 1899, 2010, 543, 8846, 543, 1114, 11453, 2553, 563, 268, 18833, 519, 3017, 1063, 476, 273, 291, 543, 476, 274, 291, 5546, 543, 875, 3515, 1118, 5546, 563, 268, 5700, 543, 946, 1114, 3029, 543, 4336, 538, 1114, 1199, 5362, 563, 268, 10812, 3159, 998, 2048, 2775, 543, 4158, 685, 543, 917, 875, 547, 3575, 873, 538, 5862, 543, 1711, 873, 538, 12400, 563, 268, 5700, 3119, 543, 6281, 15437, 543, 875, 547, 1711, 873, 543, 1895, 873, 563, 268, 10576, 1114, 18282, 563, 268, 1215, 547, 946, 17250, 9248, 547, 2263, 267, 2594, 2553, 267, 2992, 543, 1039, 2854, 14391, 725, 563, 1103, 23794, 273, 267, 519, 1453, 2417, 1020, 741, 1702, 543, 1983, 540, 519, 6101, 2609, 540, 1148, 267, 1899, 267, 3337, 267, 1106, 267, 3159, 267, 7990, 267, 9403, 543, 4806, 543, 741, 13994, 1637, 540, 519, 6863, 2404, 609, 621, 269, 1358, 1020, 741, 17250 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 6607, 267, 799, 568, 18991, 8272, 549, 1042, 676, 519, 7909, 545, 27347, 267, 5211, 27347, 267, 799, 616, 519, 1883, 3334, 602, 616, 20057, 1782, 519, 2661, 17349, 676, 519, 29915, 566, 540, 2470, 563, 16675, 568, 513, 3579, 2681, 267, 799, 568, 835, 540, 519, 824, 811, 7986, 2067, 4778, 602, 568, 1419, 9228, 676, 721, 607, 513, 3090, 540, 11606, 269, 9578, 5682, 1145, 540, 519, 10664, 782, 1472, 721, 3947, 721, 513, 18512, 8686, 32079, 1247, 4509, 602, 12716, 1413, 267, 607, 789, 957, 607, 513, 7154, 540, 2713, 2094, 789, 2285, 721, 5135, 1247, 4509, 12539, 5434, 2157, 616, 849, 14931, 547, 19993, 2157, 1317, 540, 873, 563, 312, 3641, 568, 513, 3636, 2681, 267, 799, 568, 835, 540, 519, 1034, 25343, 4778, 1813, 547, 922, 3636, 1145, 269, 898, 568, 1419, 9228, 607, 513, 27145, 22205, 2681, 269, 2060, 602, 1767, 267, 649, 991, 547, 11760, 519, 1249, 602, 621, 568, 835, 540, 519, 1034, 17615, 4778, 269, 3776, 8226, 540, 621, 607, 513, 3810, 17615, 2681, 568, 1813, 547, 519, 6129, 799, 568, 519, 2101, 2707, 540, 1648, 538, 519, 3859, 1062, 267, 799, 568, 519, 1883, 5057, 602, 814, 10114, 3293, 1272, 593, 938, 4190, 9791, 14136, 563, 10468, 582, 523, 344, 607, 606, 9703, 8888, 4480, 666, 581, 3989, 538, 2241, 2474, 607, 606, 1148, 540, 21179, 908, 1126, 3697, 2934, 547, 2285, 519, 4055, 513, 18512, 1413, 676, 22539, 621, 609, 519, 1648, 540, 513, 1126, 269, 966, 1204, 1299, 25674, 4778, 616, 811, 30326, 1031, 538, 519, 3026, 582, 523, 344, 563, 309, 1204, 27413, 616, 930, 540, 519, 1034, 6422, 4778, 602, 723, 513, 12402, 540, 11423, 909, 519, 2230, 609, 513, 642, 32079, 602, 568, 3810, 7302, 20149, 909, 269, 4303, 676, 1554, 811, 543, 811, 1004, 4782, 513, 4055, 602, 568, 1360, 18512, 543, 17615, 267, 12667, 4778, 723, 6591, 23146, 269, 1452, 4778, 2709, 519, 1747, 513, 1413, 602, 1402, 338, 909, 1360, 1134, 267, 607, 891, 4778, 693, 513, 32436, 1377, 616, 2404, 609, 19630, 2065, 642, 756, 525, 563, 16446, 568, 835, 540, 519, 1034, 12667, 4778, 799, 693, 606, 17499, 1377, 23327, 6612, 585, 721, 269, 898, 568, 1317, 621, 568, 1360, 10565, 267, 12050, 267, 543, 3636, 267, 609, 519, 4102, 15423, 267, 1818, 621, 3750, 2275, 2255, 344, 269, 898, 568, 513, 2681, 602, 2306, 513, 8447, 3465, 775, 609, 12050, 1145, 563, 312, 3641, 568, 513, 1360, 9565, 2681, 602, 568, 1360, 7920, 569, 9565, 269, 898, 6411, 607, 606, 16508, 17832, 3455, 267, 799, 568, 513, 2101, 3007, 3766, 4599, 6883, 2681, 269, 13966, 609, 621, 267, 621, 849, 23327, 19630, 1143, 267, 799, 568, 1317, 950, 649, 1294, 5835, 267, 649, 9305, 621, 547, 519, 6129, 563, 7775, 1052, 568, 835, 540, 519, 1034, 11741, 267, 1134, 1790, 17977, 4778, 799, 10905, 1079, 540, 519, 1034, 3750, 2275, 2255, 344, 3636, 4778, 267, 4414, 1299, 14117, 267, 24254, 1312, 519, 2168, 3007, 10544, 828, 2059, 1818, 606, 3929, 1764, 593, 519, 2247, 540, 519, 7817, 563, 10214, 1498, 519, 7524, 543, 6422, 4778, 616, 513, 1390, 1259, 547, 10544, 519, 3007, 540, 606, 1367, 855, 1018, 547, 798, 950, 811, 982, 835, 7524, 4778, 616, 547, 581, 3769, 538, 519, 1482, 7406, 888, 2414, 4308, 609, 621, 18113, 267, 1101, 540, 782, 267, 649, 1590, 2232, 519, 1249, 602, 7524, 4778, 616, 1360, 14053, 607, 789, 4482, 3007, 3362, 607, 3379, 547, 824, 4778, 269, 1924, 267, 8380, 1927, 1079, 1114, 7524, 12667, 4778, 786, 2014, 6266, 540, 19240, 585, 519, 21951, 269, 9747, 267, 649, 1590, 2119, 547, 2057, 8380, 1927, 1079, 7524, 4778, 538, 519, 1482, 7406, 563, 1432, 649, 666, 798, 547, 2721, 519, 21951, 547, 519, 1292, 3119, 1641, 1247, 519, 6281, 1641, 13978, 16856, 630, 6518, 568, 711, 865, 1271, 855, 2115, 547, 581, 3769, 264, 568, 649, 1058, 946, 12667, 4778, 607, 519, 1292, 1641, 1247, 649, 666, 946, 6281, 5396, 609, 9243, 4778, 547, 1711, 513, 544, 3176, 2681, 5888, 563, 17092, 13263, 2562, 288, 9654, 3198, 29206, 296, 3036, 23370, 22218, 5058, 912, 9928, 663, 20680, 1014, 25181, 27588, 568, 606, 25181, 27588, 26435, 602, 568, 1031, 2066, 10821, 4025, 543, 28737, 269, 898, 568, 835, 540, 519, 1034, 1134, 1634, 25181, 5071, 338, 799, 568, 1634, 585, 922, 8766, 1143, 267, 11029, 946, 540, 544, 3176, 4778, 267, 1818, 621, 835, 540, 519, 1034, 10097, 25181, 5071, 338, 602, 3091, 513, 3810, 10875, 1413, 563, 300, 3176, 27413, 568, 513, 2165, 602, 568, 1031, 547, 14841, 5573, 2677, 18260, 610, 667, 1638, 518, 27413, 269, 634, 1184, 540, 4573, 532, 835, 12667, 2681, 3217, 1747, 950, 519, 12667, 2681, 568, 5916, 609, 9243, 4778, 899, 6519, 267, 22630, 267, 3092, 563, 300, 3176, 7822, 10395, 5209, 899, 21060, 27578, 267, 14117, 5682, 267, 4414, 6519, 267, 9791, 268, 6519, 267, 5682, 268, 6519, 616, 930, 540, 519, 1034, 7986, 2681, 10659, 602, 786, 2744, 811, 8560, 1554, 676, 1554, 563, 10468, 23018, 2051, 1819, 6022, 8291, 912, 10468, 23018, 2051, 1819, 6022, 8291, 568, 835, 540, 519, 1034, 1655, 25252, 1243, 1071, 28175, 915, 609, 544, 3176, 4778, 267, 9117, 607, 606, 7850, 3490, 543, 1818, 519, 1292, 1641, 5031, 538, 519, 3617, 5223, 607, 3379, 547, 519, 1071, 28175, 915, 563, 10468, 23018, 7822, 666, 581, 3989, 607, 513, 2681, 602, 5526, 547, 581, 1510, 2681, 543, 1281, 711, 3335, 2408, 593, 519, 8868, 269, 3026, 23018, 27413, 12484, 826, 6013, 538, 519, 1249, 602, 789, 798, 711, 3747, 607, 1454, 3007, 607, 568, 18796, 676, 12667, 4778, 563, 14937, 281, 4563, 568, 835, 540, 519, 1034, 3309, 4778, 1317, 540, 519, 4763, 540, 922, 3096, 269, 1403, 1031, 5100, 569, 267, 3109, 666, 2709, 721, 606, 17715, 1413, 267, 799, 666, 581, 513, 2101, 3007, 10544, 828, 269, 1306, 513, 9243, 2681, 267, 621, 2488, 519, 7406, 585, 12667, 4778, 563, 294, 2001, 568, 835, 540, 519, 1655, 9243, 4778, 799, 568, 519, 1655, 25252, 1243, 9243, 2681, 538, 25181, 27588, 607, 621, 2488, 513, 3490, 602, 8711, 519, 4778, 540, 519, 3774, 267, 1818, 621, 513, 3810, 9053, 2681, 607, 513, 3490, 2681, 563, 19669, 568, 835, 540, 519, 1034, 1713, 4778, 585, 1034, 1004, 1317, 621, 568, 9228, 538, 1034, 10764, 607, 513, 10143, 2681, 267, 799, 23327, 19454, 269, 898, 568, 711, 513, 2681, 540, 922, 1378, 267, 855, 513, 23314, 540, 782, 519, 4778, 267, 799, 3029, 1950, 1648, 543, 513, 25386, 2361, 540, 1769, 563, 31342, 568, 835, 540, 519, 1034, 896, 3603, 2943, 519, 1034, 2629, 4778, 538, 25181, 27588, 267, 1317, 540, 519, 5705, 30276, 540, 922, 4527, 269, 5221, 540, 602, 267, 621, 8591, 909, 606, 3063, 4494, 540, 9403, 607, 1134, 607, 4334, 269, 634, 5506, 540, 596, 1210, 519, 11647, 267, 519, 11435, 267, 519, 9885, 609, 513, 12094, 540, 6960, 2681, 568, 1360, 1164, 1813, 547, 519, 9403, 543, 4334, 621, 3091, 563, 7712, 4778, 723, 513, 1360, 7096, 1764, 593, 1142, 2460, 540, 938, 2729, 267, 581, 621, 4664, 267, 2790, 1533, 267, 610, 5854, 1049, 4908, 540, 513, 1747, 269, 898, 568, 938, 2816, 607, 606, 25181, 5071, 518, 547, 1374, 519, 1747, 538, 971, 513, 1259, 602, 519, 7817, 568, 693, 519, 8445, 540, 1010, 4313, 1377, 1247, 646, 24172, 568, 972, 693, 713, 1747, 269, 901, 1028, 999, 596, 540, 707, 1279, 3856, 18900, 7817, 25279, 2078, 609, 1864, 267, 646, 666, 1256, 4363, 596, 547, 1010, 29872, 1734, 543, 1010, 9164, 267, 4946, 909, 547, 707, 6075, 3490, 543, 14921, 707, 1378, 12434, 1932, 563, 304, 281, 1548, 568, 519, 19043, 540, 27413, 538, 25181, 27588, 888, 288, 281, 27413, 616, 1360, 1713, 538, 25181, 27588, 1317, 972, 568, 606, 6946, 2078, 1063, 938, 2247, 543, 938, 3308, 17102, 269, 898, 5222, 875, 649, 13498, 2681, 543, 1018, 7553, 568, 15427, 676, 513, 1880, 2681, 563, 304, 281, 1215, 1281, 7822, 10017, 960, 538, 25181, 27588, 888, 288, 281, 7822, 10017, 267, 799, 568, 513, 7936, 540, 6530, 568, 513, 6131, 9015, 602, 2090, 875, 835, 2681, 5222, 610, 12153, 513, 1880, 7553, 563, 304, 281, 1548, 4778, 616, 519, 1655, 14018, 585, 7849, 626, 27484, 25181, 27588, 888, 288, 281, 1924, 5847, 543, 22196, 4778, 899, 9791, 267, 5682, 267, 543, 14117, 616, 930, 540, 519, 1655, 25252, 1243, 4778, 585, 7849, 626, 4798, 538, 25181, 27588, 563, 304, 281, 1548, 4778, 616, 519, 1655, 25252, 1243, 4778, 585, 3026, 582, 523, 344, 538, 25181, 27588, 888, 288, 281, 966, 1204, 4778, 899, 4414, 267, 5682, 267, 14117, 267, 21060, 616, 930, 540, 519, 1655, 25252, 1243, 4778, 585, 3026, 582, 523, 344, 538, 25181, 27588, 563, 304, 281, 1548, 4778, 616, 1655, 14018, 585, 513, 3687, 2711, 626, 6249, 538, 25181, 27588, 888, 288, 281, 3026, 23018, 4778, 899, 6519, 267, 31201, 267, 538, 4999, 609, 4334, 344, 4778, 899, 18707, 540, 6960, 267, 616, 930, 540, 519, 1655, 25252, 1243, 4778, 585, 513, 3687, 2711, 626, 6249, 538, 25181, 27588, 269, 0, 6624, 13746, 543, 29622, 1448, 856, 602, 519, 12178, 547, 1832, 16041, 15963, 538, 2777, 616, 811, 26788, 19042, 982, 519, 2640, 269, 25511, 5208, 22132, 689, 519, 10333, 540, 15963, 267, 855, 2864, 519, 3527, 540, 606, 1367, 602, 814, 23304, 731, 585, 1272, 538, 2221, 1412, 338, 2486, 269, 4340, 547, 513, 8549, 1867, 267, 23436, 631, 269, 1358, 849, 3494, 602, 952, 15963, 941, 17515, 689, 519, 1857, 267, 1287, 5208, 543, 2669, 1131, 6175, 8185, 538, 713, 2197, 269, 1452, 7391, 616, 849, 7784, 1852, 9840, 538, 519, 9962, 563, 763, 3898, 540, 513, 1382, 1957, 849, 5267, 602, 596, 946, 811, 2959, 538, 707, 1382, 982, 538, 513, 2241, 2947, 24733, 4588, 1557, 269, 25511, 1852, 568, 711, 2500, 607, 621, 814, 711, 1044, 3254, 547, 2965, 2569, 519, 1297, 540, 7784, 5829, 10963, 269, 3776, 2528, 814, 2141, 8185, 16941, 593, 15963, 585, 1919, 899, 10122, 267, 3077, 15246, 267, 543, 5631, 2123, 4027, 269, 1358, 3494, 538, 519, 5822, 14821, 547, 7703, 7916, 269, 769, 1250, 10715, 267, 972, 723, 1044, 9118, 7972, 543, 7063, 1813, 547, 7784, 5208, 269, 8074, 602, 476, 28307, 3214, 689, 519, 2085, 540, 476, 1724, 268, 1626, 941, 7166, 676, 15963, 267, 543, 476, 275, 267, 25784, 689, 519, 2085, 540, 476, 1704, 268, 3066, 269, 8409, 2053, 616, 1279, 8854, 950, 513, 7784, 729, 22234, 538, 606, 1931, 547, 1832, 519, 1166, 4169, 540, 2831, 11231, 610, 547, 9856, 519, 16916, 3338, 563, 2252, 596, 1616, 513, 4514, 5813, 883, 1200, 1650, 267, 596, 1522, 607, 1134, 2638, 856, 1200, 1433, 1977, 654, 1057, 281, 589, 6490, 7546, 540, 11146, 267, 2782, 267, 18321, 267, 543, 20622, 531, 269, 4935, 267, 621, 1797, 9444, 4323, 6862, 1007, 6760, 269, 31962, 519, 14026, 950, 596, 941, 10707, 610, 7996, 12341, 6217, 519, 12543, 7234, 7784, 1852, 5294, 543, 931, 269, 17461, 11974, 1131, 1152, 2014, 32462, 1957, 1740, 585, 1346, 2043, 945, 798, 711, 723, 741, 2247, 1305, 593, 15294, 1359, 1453, 269, 595, 543, 9628, 267, 519, 1876, 17049, 519, 9562, 540, 15963, 676, 21127, 269, 4658, 609, 15963, 723, 10692, 543, 4465, 938, 5191, 689, 1082, 1114, 2477, 269, 901, 568, 513, 2243, 602, 513, 709, 4513, 10876, 543, 1100, 2339, 799, 1259, 621, 568, 9763, 519, 15784, 786, 2141, 979, 593, 563, 3682, 338, 543, 3117, 540, 25511, 6513, 723, 1044, 5941, 543, 8499, 9916, 538, 7961, 10179, 762, 2053, 267, 855, 1312, 15156, 543, 17837, 540, 7784, 1852, 723, 12758, 547, 741, 7158, 267, 6028, 519, 3390, 796, 637, 9407, 269, 769, 519, 2376, 267, 25511, 6513, 281, 634, 4279, 10515, 268, 11073, 267, 808, 1563, 7557, 7596, 11339, 827, 606, 1055, 1673, 14280, 1244, 14280, 521, 615, 858, 538, 5842, 21293, 602, 729, 5185, 609, 513, 2147, 3510, 547, 519, 9995, 344, 670, 809, 13357, 267, 2705, 267, 789, 8929, 519, 10419, 15249, 4666, 1354, 19421, 540, 17608, 21127, 1223, 581, 23689, 269, 589, 4214, 1557, 568, 10416, 513, 811, 9450, 4528, 540, 513, 8675, 2376, 269, 15083, 940, 513, 1688, 30516, 568, 835, 540, 519, 1655, 2081, 540, 4027, 950, 1031, 7157, 269, 25511, 6513, 4031, 616, 2556, 538, 513, 1533, 1317, 789, 6175, 5208, 543, 2333, 2229, 4027, 538, 519, 1533, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 4180, 1256, 5986, 543, 11141, 6881, 269, 2913, 781, 1205, 3323, 2439, 1262, 27609, 566, 5384, 5093, 476, 736, 3764, 454, 1262, 290, 8504, 5384, 5093, 476, 3393, 3764, 454, 1262, 13707, 5384, 5093, 476, 272, 5662, 476, 276, 3764, 454, 1262, 306, 969, 902, 5093, 476, 275, 1004, 692, 1262, 28808, 19263, 16001, 265, 476, 275, 1804, 11350, 18717, 630, 1415, 2681, 994, 265, 476, 272, 18470, 630, 14596, 575, 264, 2666, 14132, 610, 23758, 454, 265, 476, 272, 5420, 22323, 267, 29656, 22872, 454, 265, 476, 273, 804, 7174, 13342, 267, 1295, 1027, 454, 265, 476, 272, 7484, 630, 1220, 575, 264, 4608, 10541, 7573, 454, 265, 476, 272, 666, 630, 1691, 12063, 610, 476, 6110, 16720, 264, 546, 5367, 14274, 454, 265, 476, 272, 512, 26138, 630, 1428, 16720, 264, 10448, 3282, 454, 265, 17865, 543, 14723, 267, 547, 6492, 454, 265, 476, 272, 512, 4944, 630, 276, 16720, 264, 13099, 27996, 454, 265, 476, 272, 512, 4944, 630, 276, 16720, 264, 12015, 16163, 2917, 454, 265, 476, 272, 512, 4944, 630, 276, 16720, 264, 12015, 7626, 1146, 334, 454, 265, 476, 272, 7484, 630, 7742, 16720, 264, 1216, 610, 10448, 26185, 454, 265, 717, 3603, 10381, 630, 28436, 2020, 1262, 13420, 3612, 16001, 265, 28981, 4604, 454, 265, 12928, 1057, 454, 265, 14066, 12826, 454, 265, 4787, 32576, 610, 31068, 3443, 454, 265, 8381, 523, 22635, 454, 265, 25732, 11680, 543, 838, 9398, 454, 265, 1975, 520, 3121, 454, 265, 645, 1136, 6656, 610, 22101, 518, 1961, 8670, 454, 265, 1325, 26891, 23240, 692, 1262, 9743, 15297, 16001, 1262, 3721, 476, 272, 281, 8564, 2659, 3212, 13827, 12533, 16521, 2185, 1804, 267, 25144, 21092, 11350, 18717, 585, 707, 2893, 878, 320, 269, 1411, 949, 2824, 1022, 2681, 4999, 596, 899, 1765, 13582, 543, 2699, 1118, 585, 513, 30018, 5920, 269, 5269, 2386, 789, 1796, 20005, 1510, 12902, 1472, 269, 901, 5849, 1697, 8631, 532, 3892, 543, 811, 5812, 11256, 780, 1262, 3721, 476, 273, 281, 8073, 17828, 16199, 1407, 4635, 476, 280, 11862, 13967, 12533, 2414, 10018, 27101, 30556, 267, 649, 3513, 8415, 519, 476, 280, 2274, 770, 8293, 4100, 1230, 845, 531, 10934, 630, 280, 11862, 13967, 264, 4480, 269, 5213, 1405, 11784, 256, 2353, 596, 991, 547, 798, 568, 4952, 12270, 1142, 11350, 14723, 883, 3160, 30556, 2059, 922, 19976, 7852, 1247, 5329, 519, 6565, 16856, 269, 2422, 707, 20932, 1759, 593, 519, 15340, 540, 519, 4829, 3294, 269, 1403, 2877, 267, 2259, 5969, 5594, 17208, 3515, 2394, 8746, 780, 1262, 3721, 476, 274, 281, 11162, 4934, 25994, 543, 6490, 1962, 6951, 12533, 294, 1836, 4894, 5452, 543, 17011, 689, 1312, 5011, 540, 1142, 14723, 3368, 269, 5494, 731, 891, 2694, 610, 4688, 873, 585, 1776, 3483, 952, 5551, 269, 681, 20600, 519, 19345, 14723, 30556, 896, 4411, 4881, 1216, 547, 2327, 782, 11935, 814, 1044, 6569, 269, 4793, 3819, 609, 1957, 28734, 780, 1262, 3721, 476, 275, 281, 2776, 17742, 744, 1597, 12533, 4407, 840, 6137, 519, 11423, 267, 840, 17742, 707, 14089, 547, 476, 23841, 13790, 630, 5002, 9180, 1040, 7412, 513, 11256, 6656, 610, 22101, 518, 1961, 8670, 609, 11956, 23240, 585, 2653, 30749, 2663, 780, 1262, 3721, 476, 276, 281, 13648, 2201, 687, 543, 12275, 997, 12533, 28959, 519, 1236, 32576, 936, 5420, 3002, 543, 1039, 10448, 3282, 269, 5410, 22872, 19637, 543, 3434, 2394, 21352, 539, 543, 6037, 1075, 550, 267, 5111, 2947, 3764, 269, 8921, 267, 13489, 538, 1295, 1027, 13342, 543, 3136, 1094, 583, 2946, 532, 585, 835, 8792, 610, 2394, 29549, 780, 1262, 3721, 476, 277, 281, 28799, 674, 3739, 23123, 12533, 9558, 2536, 11273, 19637, 543, 13342, 547, 513, 1804, 11544, 12826, 269, 1677, 519, 1482, 12826, 267, 1039, 2666, 5779, 267, 7573, 267, 546, 5367, 14274, 630, 5976, 10433, 1070, 6070, 267, 14723, 267, 13099, 27996, 267, 16163, 2917, 267, 7626, 1146, 334, 267, 543, 1216, 610, 10448, 26185, 269, 17186, 1134, 2394, 8499, 5916, 780, 1262, 3721, 476, 278, 281, 19130, 3212, 3899, 16199, 1407, 12533, 19667, 728, 519, 11423, 7848, 8449, 1851, 519, 5216, 5423, 11350, 14723, 30556, 269, 4964, 1524, 9900, 547, 11741, 519, 11423, 3330, 1142, 3368, 267, 2870, 513, 1377, 2627, 269, 9255, 4904, 14723, 30556, 5196, 519, 20898, 11256, 6656, 610, 22101, 518, 1961, 8670, 780, 1262, 3721, 476, 279, 281, 15147, 543, 645, 820, 12533, 299, 5366, 569, 3382, 519, 11256, 26745, 610, 22101, 518, 1961, 8670, 609, 11956, 23240, 269, 645, 820, 585, 476, 1789, 3764, 4988, 267, 1287, 10625, 543, 27106, 585, 3606, 476, 1428, 3764, 610, 2394, 25568, 1831, 11344, 6960, 543, 5743, 6853, 269, 26840, 958, 20057, 548, 1989, 730, 10381, 593, 1283, 1282, 519, 2063, 1906, 3764, 540, 11256, 780, 1262, 3721, 476, 280, 281, 31160, 543, 17949, 12533, 5629, 2944, 267, 5402, 4483, 2893, 878, 320, 547, 7674, 10824, 543, 2972, 3905, 7258, 4195, 25235, 267, 12933, 344, 3694, 267, 610, 824, 5172, 2427, 8286, 269, 12844, 813, 18863, 527, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3719, 909, 3562, 15082, 10492, 540, 4444, 666, 2291, 1031, 998, 8009, 269, 476, 4375, 282, 1684, 762, 10913, 540, 21903, 1673, 7371, 2454, 519, 2626, 676, 2731, 476, 866, 11222, 267, 855, 519, 6990, 16798, 1063, 476, 1001, 273, 543, 476, 1001, 274, 10805, 741, 4162, 676, 476, 6321, 1753, 267, 14970, 3163, 1185, 269, 6744, 3366, 519, 2152, 540, 4867, 476, 5655, 267, 10384, 27121, 538, 476, 1001, 275, 267, 5356, 602, 972, 887, 1372, 8185, 476, 1724, 4238, 829, 476, 1911, 267, 1822, 2828, 538, 519, 2136, 2276, 602, 1523, 269, 898, 9782, 519, 4013, 11049, 642, 540, 1852, 538, 519, 2136, 2276, 267, 1382, 282, 4099, 676, 3135, 267, 799, 1336, 865, 476, 1724, 267, 1822, 561, 643, 4592, 602, 2189, 1592, 269, 1280, 25161, 4444, 2486, 7972, 267, 519, 1753, 540, 519, 2627, 723, 6101, 547, 9380, 269, 898, 15920, 547, 513, 6273, 1858, 609, 513, 12813, 312, 273, 2458, 720, 263, 693, 2547, 1079, 3099, 616, 547, 946, 1044, 547, 1265, 513, 2009, 3902, 1070, 799, 28352, 2417, 7680, 540, 519, 9936, 5108, 269, 589, 2009, 20476, 664, 11339, 607, 23689, 676, 713, 8289, 269, 476, 280, 2274, 770, 8293, 4100, 1230, 845, 531, 21476, 269, 9406, 2865, 281, 4332, 6073, 269, 1323, 1101, 1007, 339, 729, 9138, 676, 20568, 1696, 620, 269, 898, 12958, 513, 3791, 8473, 5679, 527, 593, 606, 3010, 13914, 540, 513, 2140, 585, 513, 14392, 2376, 1369, 519, 6389, 540, 834, 289, 1779, 534, 28690, 257, 607, 851, 540, 834, 23733, 1315, 13636, 1299, 8836, 1315, 4937, 257, 602, 1223, 581, 1644, 547, 519, 1349, 1657, 269, 3973, 2328, 476, 513, 1279, 543, 1360, 2143, 5850, 827, 519, 2140, 596, 8359, 267, 538, 519, 2511, 540, 15825, 269, 634, 1543, 1058, 723, 519, 1739, 3898, 281, 7170, 23901, 12133, 25776, 21234, 285, 1007, 1899, 2999, 12133, 25996, 25606, 20101, 1684, 711, 1039, 1022, 3063, 1257, 7713, 1946, 596, 8359, 519, 2140, 563, 2521, 547, 1384, 268, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 563, 268, 3550, 9355, 543, 16566, 538, 519, 15825, 5850, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 563, 268, 7994, 513, 13598, 2140, 602, 3085, 1405, 1445, 593, 13061, 1344, 538, 519, 1357, 1349, 269, 0, 3848, 281, 10289, 30248, 998, 3203, 543, 11873, 692, 5970, 596, 2479, 5433, 8909, 1317, 596, 14406, 2576, 2027, 945, 3884, 1405, 1472, 15042, 286, 2107, 5310, 596, 4810, 519, 7772, 540, 6104, 5109, 1945, 1007, 543, 4941, 547, 2671, 707, 8788, 609, 1866, 286, 2353, 891, 4606, 616, 851, 540, 938, 3929, 15322, 2429, 1272, 269, 6884, 267, 649, 1265, 621, 2182, 547, 2322, 1913, 547, 938, 4664, 267, 855, 972, 616, 1082, 2081, 547, 2769, 873, 256, 4653, 267, 1577, 781, 4685, 883, 3695, 835, 2189, 1259, 1004, 2671, 741, 4606, 1210, 1148, 543, 3350, 780, 25603, 5981, 8065, 580, 5674, 267, 513, 16805, 7376, 945, 3096, 1200, 1560, 5322, 543, 1688, 17267, 547, 2995, 2984, 543, 6655, 2620, 4664, 269, 2701, 2813, 513, 4190, 4062, 1572, 834, 4462, 325, 987, 558, 762, 2437, 799, 7710, 1200, 2123, 3460, 540, 9561, 1200, 11537, 4651, 1247, 1352, 729, 513, 6280, 2875, 269, 4014, 713, 949, 3280, 899, 513, 2352, 1641, 267, 2523, 585, 7820, 3988, 267, 1810, 1405, 5855, 256, 1284, 786, 1445, 593, 1620, 875, 5159, 666, 946, 741, 4703, 547, 5968, 1114, 4664, 543, 2833, 780, 5331, 1373, 2111, 547, 2911, 827, 707, 4606, 1175, 676, 3001, 707, 3946, 543, 1560, 256, 2334, 781, 1018, 5981, 1281, 538, 834, 4462, 325, 987, 558, 762, 2668, 1635, 2519, 593, 1200, 3946, 543, 11263, 267, 1352, 20217, 721, 883, 1200, 1158, 1765, 821, 4904, 609, 8823, 267, 2648, 267, 543, 7067, 269, 1306, 649, 4585, 1200, 1685, 267, 649, 1376, 547, 1745, 27153, 538, 513, 695, 20810, 532, 14015, 7045, 1141, 1169, 5163, 6645, 513, 1650, 269, 2913, 781, 1451, 811, 827, 875, 5981, 31825, 1950, 4555, 543, 4606, 1510, 6340, 2439, 20058, 267, 5469, 519, 3877, 540, 1200, 3946, 543, 11263, 269, 5620, 596, 2479, 6743, 5702, 693, 707, 9491, 1716, 5661, 610, 519, 1507, 24827, 593, 707, 21015, 286, 1879, 649, 2628, 3007, 547, 1256, 519, 17646, 5006, 2934, 540, 6000, 267, 789, 1831, 3532, 2645, 585, 4082, 269, 6056, 827, 5373, 513, 4605, 610, 2870, 513, 7544, 6296, 269, 18786, 609, 2241, 2609, 2636, 721, 547, 1628, 2390, 1346, 9238, 2394, 938, 5137, 7959, 2347, 269, 6684, 267, 950, 5981, 6212, 593, 1200, 3946, 543, 11263, 267, 1352, 5932, 513, 2178, 5748, 585, 4687, 1200, 4514, 4664, 780, 9202, 267, 2015, 519, 4276, 1063, 5905, 543, 3965, 269, 5994, 8066, 707, 5172, 11442, 267, 4620, 1154, 513, 2571, 24120, 267, 610, 554, 19982, 2576, 596, 1416, 827, 269, 3776, 2631, 540, 5905, 2337, 3337, 938, 973, 565, 27928, 543, 12205, 609, 1978, 3615, 610, 8090, 269, 1280, 1383, 267, 952, 596, 4413, 4730, 3544, 1282, 4832, 16314, 267, 19551, 519, 14246, 540, 519, 3141, 593, 707, 2960, 1522, 3142, 1394, 6126, 4606, 269, 769, 834, 4462, 325, 987, 558, 762, 2580, 5981, 3096, 28241, 4296, 547, 18427, 8823, 540, 1200, 3735, 4651, 543, 2263, 1200, 16236, 269, 4634, 1498, 646, 568, 1100, 3476, 9308, 1459, 267, 15700, 1200, 2960, 267, 4552, 267, 610, 824, 15629, 10291, 948, 1832, 1010, 6891, 9800, 1369, 1200, 2295, 543, 2247, 780, 15563, 267, 7747, 875, 1454, 4674, 4422, 883, 1142, 23972, 1500, 676, 5981, 269, 5272, 1000, 3558, 540, 1200, 9416, 267, 18846, 540, 1200, 5679, 22976, 267, 610, 10137, 540, 1200, 6186, 11438, 2495, 269, 898, 3217, 2259, 543, 11428, 547, 4487, 971, 5730, 1852, 936, 835, 781, 1560, 269, 1717, 267, 3314, 602, 3025, 6238, 12341, 256, 1411, 1223, 2253, 8026, 1318, 1631, 676, 9878, 6251, 3007, 547, 707, 1378, 5322, 1247, 7900, 4948, 4247, 269, 18564, 875, 11029, 10593, 538, 14302, 543, 17568, 1689, 519, 1259, 596, 2170, 609, 707, 10450, 269, 3683, 942, 267, 3384, 4656, 540, 707, 2168, 640, 786, 1291, 547, 3152, 2702, 547, 900, 1774, 998, 3527, 780, 1103, 3932, 267, 5159, 899, 5981, 8065, 580, 5674, 1397, 721, 602, 2792, 3085, 1405, 2141, 2154, 9275, 1893, 269, 3414, 6297, 8343, 540, 938, 4703, 543, 20982, 5079, 3823, 3350, 267, 649, 1932, 666, 2671, 1950, 4664, 543, 6386, 609, 1346, 1472, 721, 269, 6787, 15472, 267, 7206, 267, 610, 3274, 3221, 532, 609, 2828, 267, 2760, 7340, 519, 1379, 4371, 1369, 707, 10545, 20517, 269, 2991, 782, 267, 3006, 6031, 1447, 14753, 12531, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 7419, 293, 26059, 6865, 21764, 281, 11550, 289, 5058, 670, 8582, 9215, 700, 25893, 23166, 670, 2207, 4888, 290, 12239, 27633, 910, 589, 667, 7417, 303, 667, 25893, 5442, 563, 3528, 570, 20632, 11831, 656, 344, 928, 454, 2171, 616, 6537, 16111, 883, 713, 13035, 21088, 960, 676, 5981, 8065, 580, 5674, 779, 22192, 11263, 543, 3946, 1107, 2673, 13522, 540, 1200, 18969, 282, 1200, 2960, 282, 519, 6263, 267, 13692, 6438, 24827, 593, 1200, 21389, 1235, 282, 519, 20057, 1782, 540, 1954, 1188, 956, 269, 4173, 3946, 543, 11263, 561, 675, 721, 883, 513, 1216, 23752, 10444, 1995, 267, 606, 7634, 883, 875, 547, 6330, 513, 16236, 3460, 267, 519, 7184, 1922, 3881 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7438, 7815, 568, 1427, 26167, 883, 519, 26083, 585, 21409, 621, 568, 2352, 547, 10646, 689, 519, 6673, 290, 4528, 269, 1703, 568, 513, 12284, 540, 2185, 269, 630, 275, 264, 966, 290, 3722, 670, 5588, 630, 12901, 328, 2389, 1678, 264, 772, 26774, 476, 8517, 269, 901, 13143, 2203, 568, 538, 3028, 609, 1627, 20345, 269, 30259, 849, 814, 476, 1240, 1949, 269, 898, 814, 513, 661, 23757, 1170, 850, 772, 26774, 476, 8517, 2881, 4958, 609, 2185, 4712, 4817, 5442, 476, 4962, 274, 276, 454, 1729, 2000, 320, 4875, 670, 5588, 28862, 269, 6271, 476, 1626, 28862, 616, 538, 15395, 538, 519, 26083, 269, 898, 814, 513, 2185, 17907, 12284, 269, 630, 276, 264, 966, 5723, 681, 2969, 3722, 543, 966, 5723, 589, 2316, 6369, 269, 1452, 1079, 966, 5723, 338, 616, 538, 3943, 25044, 1036, 9323, 540, 6186, 1819, 15523, 269, 634, 3943, 8136, 849, 814, 11028, 18590, 27805, 6425, 609, 519, 966, 5723, 681, 3008, 3951, 2666, 13178, 16986, 269, 634, 966, 5723, 681, 2969, 3722, 568, 513, 5985, 20590, 16986, 1062, 585, 2361, 25044, 543, 814, 513, 476, 736, 10275, 332, 2039, 28576, 16980, 16986, 593, 519, 8122, 269, 589, 11718, 568, 593, 519, 1318, 2427, 540, 519, 26083, 269, 589, 2947, 17907, 12284, 2882, 1079, 16986, 12427, 543, 835, 5925, 11346, 269, 634, 966, 5723, 589, 2316, 6369, 568, 513, 5985, 13128, 1239, 6771, 1062, 19034, 856, 607, 513, 5985, 1239, 7658, 30112, 4099, 585, 1585, 4971, 2022, 2157, 269, 630, 277, 264, 966, 5723, 7193, 630, 8333, 663, 27990, 1040, 901, 568, 513, 2596, 966, 5723, 609, 4786, 15236, 543, 3606, 10618, 3937, 267, 11438, 513, 12284, 540, 3670, 269, 898, 568, 1031, 607, 513, 3595, 4287, 4099, 630, 309, 5723, 674, 17584, 264, 543, 4464, 8343, 11464, 6174, 630, 309, 5723, 29332, 302, 1070, 9117, 607, 851, 540, 519, 589, 2316, 6369, 1062, 269, 898, 849, 4410, 338, 2694, 540, 519, 681, 3951, 288, 10618, 1062, 269, 630, 278, 264, 966, 5723, 28298, 269, 901, 2203, 814, 10618, 3937, 609, 16295, 585, 519, 12427, 269, 898, 568, 849, 1031, 585, 519, 681, 3951, 288, 4201, 11703, 21091, 28298, 8416, 269, 630, 279, 264, 23910, 27990, 269, 595, 6817, 519, 966, 5723, 2637, 773, 267, 713, 4528, 540, 519, 966, 5723, 11438, 11653, 3937, 543, 513, 12285, 546, 532, 344, 593, 519, 8122, 269, 1703, 568, 513, 12284, 540, 8370, 269, 630, 280, 264, 18329, 2782, 11071, 27990, 269, 595, 6817, 519, 645, 668, 675, 267, 713, 2203, 814, 513, 555, 516, 17507, 12284, 609, 5907, 21351, 11071, 3937, 693, 519, 15493, 269, 630, 1015, 264, 966, 5723, 5842, 7534, 790, 630, 288, 3387, 592, 766, 1040, 901, 796, 28534, 4528, 11438, 476, 275, 6907, 7815, 610, 476, 1015, 27206, 2550, 267, 610, 476, 273, 6907, 7815, 543, 476, 276, 27206, 2550, 269, 898, 814, 2011, 8410, 1288, 532, 543, 1101, 4660, 3937, 269, 630, 1556, 264, 966, 19616, 630, 1103, 4156, 8232, 27990, 1040, 634, 19094, 545, 2544, 632, 1530, 2017, 924, 13143, 2203, 568, 19034, 609, 1585, 1769, 6186, 3512, 19698, 269, 898, 949, 723, 513, 11511, 639, 582, 6441, 334, 790, 7144, 4471, 570, 299, 296, 476, 7367, 589, 609, 513, 278, 269, 7830, 2173, 332, 3684, 7784, 267, 610, 519, 11511, 639, 582, 6441, 334, 790, 7144, 4471, 570, 299, 296, 476, 7367, 717, 2881, 4958, 269, 589, 17453, 21677, 268, 2193, 2130, 16405, 568, 538, 4395, 269, 898, 814, 2027, 4027, 1996, 20703, 582, 990, 15483, 339, 5661, 269, 769, 519, 15493, 543, 5011, 616, 2027, 20590, 16788, 609, 5075, 7161, 269, 898, 814, 513, 561, 10796, 701, 6033, 1062, 543, 18593, 3937, 971, 607, 4395, 2173, 870, 539, 3094, 577, 267, 22865, 267, 2011, 30690, 267, 543, 2234, 3930, 269, 26512, 667, 4725, 328, 814, 513, 1297, 540, 891, 269, 630, 1321, 264, 966, 26774, 476, 6344, 630, 300, 677, 541, 570, 12976, 27990, 1040, 901, 19094, 545, 2544, 570, 847, 16725, 632, 18200, 1512, 6287, 338, 513, 774, 1682, 517, 5174, 8681, 339, 476, 6344, 2173, 332, 27341, 267, 814, 513, 3670, 17907, 12284, 267, 543, 513, 570, 299, 296, 476, 7367, 589, 2881, 4958, 693, 519, 4395, 269, 634, 6174, 11438, 476, 3583, 27341, 23038, 269, 630, 1724, 264, 966, 15014, 476, 10037, 630, 300, 677, 541, 2961, 8175, 1040, 901, 2203, 814, 606, 476, 10037, 2173, 332, 27341, 602, 11642, 998, 513, 1079, 12268, 6679, 538, 519, 8122, 269, 1627, 20345, 3096, 713, 4528, 538, 513, 476, 277, 1535, 476, 277, 12122, 609, 513, 476, 278, 269, 7830, 2173, 332, 3684, 7784, 2881, 4958, 538, 4395, 269, 630, 1691, 264, 966, 5723, 715, 6195, 26532, 18590, 27990, 269, 595, 6817, 519, 966, 5723, 1234, 1723, 267, 713, 4528, 814, 6046, 2887, 719, 8596, 543, 513, 3126, 540, 3457, 547, 2445, 543, 5659, 3114, 8069, 689, 3330, 540, 519, 6174, 269, 898, 1058, 581, 3812, 538, 476, 1960, 273, 269, 476, 9834, 5442, 476, 4962, 274, 276, 454, 263, 1428, 264, 3828, 514, 476, 736, 2173, 332, 590, 5183, 8980, 269, 634, 744, 2006, 328, 9576, 15050, 814, 8370, 966, 5723, 476, 277, 1535, 476, 277, 6472, 609, 519, 18329, 5395, 613, 667, 817, 5435, 835, 17907, 476, 736, 2173, 332, 2881, 4958, 585, 946, 538, 2011, 8878, 269, 8422, 540, 891, 616, 849, 9280, 609, 16986, 269, 536, 269, 23779, 17972, 269, 634, 1883, 6284, 2934, 616, 607, 5205, 281, 3040, 3040, 3040, 25351, 9771, 26083, 269, 18671, 660, 9224, 269, 5565, 610, 1614, 1804, 14743, 609, 12285, 18646, 593, 1142, 2427, 563, 322, 269, 27990, 18567, 269, 634, 3943, 8136, 814, 519, 2596, 2203, 476, 275, 1535, 476, 275, 966, 5723, 966, 22721, 630, 309, 12317, 545, 2544, 13255, 632, 24410, 701, 1040, 898, 814, 513, 12284, 540, 476, 273, 630, 5570, 6387, 8276, 22389, 7784, 1676, 543, 9920, 264, 543, 6585, 476, 1015, 4628, 25668, 5792, 26462, 5443, 269, 634, 966, 5723, 814, 606, 782, 2914, 601, 4765, 5374, 26083, 585, 1507, 268, 15767, 4027, 269, 2311, 519, 4395, 2451, 568, 519, 9920, 269, 1677, 1010, 1318, 568, 519, 19524, 8276, 22389, 7784, 1676, 269, 5637, 723, 513, 2427, 7450, 6679, 547, 519, 4395, 269, 634, 7450, 814, 513, 16886, 31383, 6885, 799, 568, 26523, 539, 693, 519, 1283, 538, 922, 5580, 851, 269, 634, 6885, 10741, 21286, 543, 666, 581, 4988, 609, 513, 9505, 614, 269, 1261, 730, 16886, 31383, 2842, 3333, 3658, 538, 4395, 723, 513, 1166, 777, 26523, 539, 693, 519, 1283, 269, 3683, 519, 9920, 568, 513, 4395, 19945, 2287, 24011, 3382, 269, 634, 19524, 814, 513, 15914, 476, 278, 269, 7830, 2173, 332, 3684, 7784, 4410, 269, 19992, 519, 9920, 568, 519, 2599, 26654, 602, 814, 2011, 29504, 543, 17752, 21514, 951, 593, 519, 8122, 267, 543, 606, 9688, 10612, 4881, 2059, 519, 1283, 540, 519, 26083, 593, 519, 1318, 2427, 269, 589, 8574, 3118, 593, 519, 1318, 2427, 540, 519, 26083, 13462, 519, 12284, 26654, 609, 519, 10986, 26654, 269, 32691, 5443, 4283, 543, 4734, 519, 966, 5723, 998, 513, 5595, 7450, 1510, 513, 3844, 30361, 693, 519, 15493, 540, 519, 26083, 269, 3962, 7450, 814, 513, 6885, 6679, 547, 519, 3544, 543, 4988, 676, 606, 6186, 1819, 9505, 614, 269, 32691, 5443, 1694, 593, 14541, 16295, 2059, 2901, 2427, 540, 519, 26083, 269, 769, 519, 5011, 616, 1614, 9486, 602, 1930, 547, 519, 3544, 543, 616, 4988, 676, 6186, 1819, 9505, 1562, 269, 18858, 3591, 666, 946, 891, 547, 3595, 1507, 7916, 269, 1703, 616, 1614, 4395, 19945, 2287, 11058, 2583, 936, 519, 7708, 641, 26654, 269, 634, 26654, 568, 476, 273, 269, 5379, 7397, 1279, 267, 476, 272, 269, 23841, 7397, 2647, 543, 476, 272, 269, 3374, 7397, 1164, 269, 1530, 1846, 666, 581, 3533, 25649, 909, 585, 18535, 909, 547, 476, 273, 267, 1822, 4846, 269, 634, 3943, 8136, 849, 3096, 519, 966, 5723, 585, 631, 6579, 3198, 4550, 2389, 1678, 6887, 269, 8838, 1308, 3937, 2882, 606, 2011, 8410, 1288, 532, 1062, 267, 6186, 1819, 575, 1066, 1228, 12235, 518, 26372, 267, 20590, 7784, 2823, 609, 7533, 8343, 2823, 267, 3154, 7006, 27660, 267, 715, 6195, 1062, 630, 20598, 585, 3943, 8136, 1070, 18342, 610, 12809, 3781, 5075, 3937, 267, 1857, 2232, 1062, 267, 543, 513, 476, 278, 267, 1822, 10275, 326, 4395, 2173, 870, 539, 3094, 577, 269, 634, 966, 5723, 568, 4628, 19917, 1190, 269, 898, 814, 1079, 1216, 32062, 693, 519, 15493, 540, 519, 26083, 267, 1142, 19034, 609, 513, 1219, 937, 528, 585, 23376, 543, 9258, 19876, 269, 6969, 10024, 519, 1216, 267, 519, 12284, 7140, 593, 519, 21536, 613, 15450, 543, 16245, 338, 519, 16013, 642, 2033, 593, 519, 6367, 540, 519, 6174, 269, 2311, 1459, 267, 711, 782, 540, 519, 3943, 966, 5723, 338, 616, 9280, 609, 1216, 32062, 269, 12763, 906, 265, 595, 4319, 267, 476, 273, 10426, 12310, 267, 476, 1015, 4762, 580, 4851, 267, 476, 275, 1535, 476, 275, 476, 9032, 25397, 267, 476, 273, 269, 271, 3374, 7397, 24747, 19668, 267, 476, 274, 1496, 272, 269, 276, 910, 476, 272, 269, 276, 316, 7397, 5442, 476, 4962, 274, 276, 454, 314, 277, 1535, 476, 277, 316, 13379, 267, 476, 1724, 267, 1822, 1496, 1691, 267, 1220, 316, 4846, 20099, 267, 476, 276, 269, 7176, 7397, 654, 5954, 267, 476, 273, 269, 5392, 7397, 27551, 267, 476, 273, 7397, 16140, 24999, 267, 476, 271, 269, 275, 7397, 454, 11854, 539, 267, 4155, 267, 476, 10844, 5998, 10774, 17726, 267, 1216, 267, 476, 278, 5998, 10774, 23556, 4390, 267, 476, 4968, 20990, 16186, 267, 476, 272, 267, 1822, 5998, 454, 265, 11854, 322, 5874, 8612, 676, 4009, 23049, 476, 616, 585, 476, 277, 1535, 476, 277, 8848, 13894, 6472, 269, 546, 269, 27990, 7167, 3809, 269, 634, 966, 5723, 666, 3040, 3040, 3040, 3040, 3040, 3444, 513, 476, 272, 2173, 2678, 29503, 630, 277, 1535, 476, 277, 1152, 1040, 4410, 513, 1547, 276, 2173, 2678, 7299, 1900, 269, 18214, 513, 476, 2004, 12656, 1417, 3446, 269, 18214, 513, 476, 3374, 12656, 1417, 2427, 9386, 269, 585, 323, 19917, 13124, 563, 324, 269, 14022, 3512, 18567, 269, 14022, 3512, 585, 519, 966, 5723, 9775, 269, 7351, 2504, 3631, 585, 519, 3943, 8136, 1331, 513, 476, 1321, 269, 278, 2173, 332, 631, 273, 3684, 7784, 269, 2368, 8747, 723, 513, 476, 278, 269, 7830, 2173, 332, 3684, 7784, 4410, 269, 2368, 8747, 723, 670, 5588, 11083, 294, 310, 338, 267, 930, 723, 513, 476, 1839, 2173, 332, 666, 12061, 543, 835, 476, 278, 269, 7830, 2173, 332, 3684, 7784, 267, 930, 723, 513, 476, 736, 2173, 332, 666, 12061, 267, 1247, 1869, 1866, 723, 606, 476, 10037, 2173, 332, 27341, 269, 535, 269, 18831, 4419, 539, 269, 634, 966, 5723, 568, 538, 3028, 538, 519, 1739, 2477, 281, 5696, 2317, 328, 6239, 3979, 6243, 30259, 5333, 594, 341, 800, 11076, 26288, 24381, 527, 3780, 25448, 744, 2006, 1627, 20345, 2136, 6259, 2506, 29521, 454, 763, 966, 5723, 568, 849, 538, 3028, 538, 824, 3768, 529, 743, 2216, 2477, 267, 1519, 930, 538, 519, 5664, 5101, 269, 476, 279, 269, 962, 303, 268, 2412, 279, 14022, 1819, 12287, 6773, 2961, 8175, 630, 301, 5930, 4133, 264, 630, 8201, 476, 273, 268, 279, 1040, 769, 476, 2735, 275, 519, 13814, 8136, 1185, 5216, 10627, 2145, 687, 540, 962, 303, 268, 2412, 279, 338, 267, 855, 782, 941, 1813, 547, 581, 943, 1078, 856, 676, 2735, 280, 269, 1358, 616, 1373, 8719, 676, 674, 10157, 6186, 1819, 26462, 8165, 6174, 630, 288, 9281, 309, 1070, 1572, 519, 962, 11266, 476, 278, 4792, 676, 519, 13814, 8136, 269, 5080, 514, 600, 814, 12866, 962, 303, 268, 2412, 279, 338, 269, 634, 962, 303, 2412, 279, 6673, 290, 6039, 538, 26288, 1141, 621, 729, 13556, 3043, 585, 6167, 10136, 269, 3509, 962, 303, 268, 2412, 279, 338, 616, 1373, 1201, 7875, 1639, 585, 13143, 563, 8201, 476, 273, 268, 279, 269, 962, 303, 268, 2412, 279, 630, 279, 1535, 476, 279, 264, 6673, 290, 269, 513, 269, 7352, 1218, 269, 1703, 616, 1896, 14726, 540, 519, 962, 303, 268, 2412, 279, 269, 1452, 616, 5941, 538, 519, 1739, 1016, 1706, 4588, 338, 269, 630, 272, 264, 623, 310, 296, 4149, 263, 16165, 1040, 623, 1218, 518, 654, 10402, 5606, 534, 614, 773, 21178, 7701, 731, 630, 294, 549, 788, 264, 568, 519, 10656, 25084, 585, 519, 2596, 6673, 290 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1353, 454, 4537, 2033, 12374, 513, 13319, 1310, 11744, 5718, 1983, 269, 2701, 568, 606, 5140, 3868, 1807, 543, 513, 9952, 1966, 24626, 269, 1744, 2033, 5012, 519, 2319, 547, 4194, 8519, 6455, 543, 20387, 6075, 5360, 1622, 1927, 609, 513, 2319, 9967, 540, 824, 5520, 269, 1744, 2033, 779, 6881, 1274, 985, 1200, 513, 13319, 269, 634, 2319, 2818, 3845, 2933, 269, 4256, 2623, 2509, 1744, 2033, 2242, 1932, 269, 634, 1007, 2990, 4025, 1744, 2033, 693, 513, 6251, 1377, 609, 1200, 20148, 23723, 320, 1141, 741, 2078, 568, 2693, 547, 581, 4299, 563, 4537, 2033, 779, 2773, 538, 519, 2016, 4305, 4667, 547, 581, 519, 4493, 585, 519, 13319, 269, 634, 2359, 814, 6015, 538, 1010, 2702, 547, 581, 519, 6205, 269, 634, 1964, 540, 519, 2319, 949, 13498, 602, 1744, 2033, 729, 2016, 5491, 585, 519, 2319, 779, 3646, 269, 21344, 540, 1379, 538, 519, 3919, 786, 2154, 2792, 689, 519, 9972, 2359, 547, 2057, 21390, 563, 305, 599, 12107, 519, 9614, 1058, 723, 1500, 513, 27792, 540, 1744, 2033, 779, 1007, 2990, 543, 7150, 1018, 2470, 540, 2078, 609, 519, 824, 9946, 786, 581, 4397, 269, 1744, 2033, 666, 11168, 519, 2319, 779, 4674, 602, 729, 513, 1967, 543, 5000, 2319, 960, 538, 1010, 1007, 2990, 607, 789, 2226, 519, 2319, 6891, 563, 22117, 532, 543, 16882, 2013, 1353, 454, 294, 841, 729, 21534, 538, 513, 5663, 2754, 607, 606, 5604, 543, 2504, 9614, 269, 32632, 729, 1200, 28643, 543, 519, 2030, 9614, 269, 769, 1200, 1007, 5604, 267, 1352, 19927, 602, 5520, 941, 28537, 269, 918, 4331, 835, 540, 519, 5520, 1131, 2097, 3735, 267, 4584, 2123, 7125, 543, 7662, 1866, 547, 2626, 519, 7125, 538, 519, 5604, 563, 299, 14019, 7152, 27025, 8351, 609, 918, 4331, 779, 2623, 538, 519, 5604, 269, 717, 841, 19230, 918, 4331, 855, 267, 972, 729, 1100, 1689, 538, 1200, 4356, 5103, 3478, 9963, 540, 26694, 689, 717, 841, 269, 1879, 918, 4331, 729, 17991, 267, 1352, 4682, 547, 32632, 779, 5604, 543, 1310, 513, 1279, 6643, 282, 32632, 1767, 918, 4331, 729, 711, 17991, 563, 1103, 1776, 8257, 267, 717, 841, 1500, 2242, 543, 519, 28643, 7395, 27932, 267, 8959, 547, 28111, 269, 7395, 27932, 7000, 547, 717, 841, 602, 1352, 1223, 1152, 1491, 5528, 689, 32632, 269, 901, 2451, 717, 841, 4743, 14944, 1441, 269, 717, 841, 1927, 609, 32632, 10288, 7727, 585, 2504, 269, 32632, 729, 15034, 717, 841, 540, 19280, 267, 513, 4305, 602, 32632, 568, 538, 5279, 540, 563, 763, 2591, 717, 841, 568, 6849, 666, 581, 7753, 952, 32632, 267, 519, 20148, 12374, 3972, 543, 6015, 593, 717, 841, 269, 1703, 1058, 581, 9355, 538, 519, 15796, 267, 543, 519, 9021, 581, 5693, 13890, 269, 13245, 3347, 666, 581, 3964, 936, 942, 269, 9442, 1058, 581, 15091, 269, 634, 10083, 540, 717, 841, 2990, 666, 581, 2808, 543, 1287, 519, 8989, 2078, 581, 25250, 856, 563, 6097, 547, 31541, 2006, 543, 4354, 337, 718, 630, 1220, 272, 267, 533, 269, 476, 3953, 264, 4655, 2359, 1983, 616, 1271, 538, 1169, 10721, 2359, 269, 18366, 2359, 5161, 540, 16395, 602, 1291, 547, 6876, 269, 18366, 2359, 10597, 2318, 4093, 543, 6971, 2942, 5222, 3238, 538, 7526, 269, 4762, 26555, 666, 581, 3927, 7307, 952, 513, 3666, 1063, 4145, 585, 1582, 543, 4145, 585, 1866, 616, 7059, 269, 21988, 4655, 2359, 5012, 547, 1732, 2164, 269, 9442, 568, 606, 2500, 5057, 540, 4655, 2359, 563, 3725, 327, 630, 1001, 272, 267, 533, 269, 476, 272, 264, 19528, 602, 2319, 2679, 568, 606, 2534, 602, 3322, 30070, 5520, 547, 960, 607, 513, 2319, 543, 547, 2070, 519, 2640, 540, 2319, 960, 607, 741, 2123, 2640, 269, 12243, 2679, 568, 513, 6024, 1184, 602, 3340, 7589, 540, 1169, 2319, 4759, 269, 634, 2319, 568, 30039, 607, 513, 1895, 563, 10870, 7774, 543, 4797, 3646, 616, 2838, 585, 1169, 4759, 568, 1500, 547, 1174, 519, 1967, 540, 519, 2319, 568, 741, 1967, 269, 17553, 3853, 543, 7393, 2792, 616, 1271, 3344, 538, 519, 2319, 2679, 269, 12243, 2818, 666, 2697, 609, 519, 2319, 779, 1967, 543, 2744, 8404, 269, 12243, 2818, 1058, 581, 1500, 547, 1174, 602, 741, 5916, 3646, 786, 6556, 1732, 2164, 982, 2043, 960, 563, 22117, 11429, 543, 16882, 20674, 538, 2810, 4398, 538, 519, 3919, 269, 589, 6205, 3112, 581, 2111, 547, 798, 782, 4247, 1510, 519, 6351, 540, 741, 1016, 24002, 269, 589, 6205, 30896, 960, 547, 581, 2111, 547, 12492, 519, 10721, 3853, 269, 589, 6205, 666, 18663, 543, 7668, 1866, 547, 9585, 4247, 563, 5445, 991, 547, 3972, 543, 581, 8746, 602, 789, 786, 581, 2111, 547, 3035, 519, 5551, 2164, 543, 1489, 873, 950, 789, 991, 6351, 269, 9442, 4679, 9355, 543, 16881, 519, 5385, 540, 1271, 1344, 1369, 519, 3919, 269, 667, 583, 625, 666, 581, 3838, 865, 602, 20718, 4247, 543, 19888, 793, 730, 4247, 616, 14284, 269, 26930, 568, 3838, 2687, 547, 1983, 543, 2702, 630, 29804, 2065, 5004, 267, 476, 1220, 279, 267, 533, 269, 476, 272, 1916, 3725, 327, 630, 1220, 277, 267, 533, 269, 476, 272, 264, 6920, 602, 6947, 568, 513, 1713, 5578, 538, 2359, 269, 769, 2792, 267, 621, 568, 8449, 1271, 547, 6432, 547, 1866, 1175, 607, 621, 568, 1271, 547, 2285, 1344, 269, 23016, 3322, 15603, 1866, 2911, 607, 835, 17188, 3007, 269, 4475, 267, 519, 26575, 568, 2111, 547, 17429, 576, 2495, 689, 519, 1268, 23187, 519, 5048, 269, 2290, 666, 1020, 519, 2953, 8226, 540, 606, 3390, 543, 2232, 513, 1966, 2649, 1947, 676, 11543, 811, 1620, 563, 20175, 543, 2184, 10107, 538, 3919, 9356, 538, 3906, 269, 1677, 723, 1379, 1797, 835, 666, 3310, 1776, 269, 1677, 2333, 835, 779, 1379, 538, 606, 3919, 267, 2043, 723, 2799, 741, 1983, 543, 7152, 602, 789, 616, 18164, 269, 31740, 786, 5944, 1489, 3401, 4171, 1379, 568, 11807, 982, 835, 945, 568, 28170, 633, 269, 8409, 945, 616, 2111, 547, 2184, 545, 1125, 543, 2744, 519, 3007, 540, 741, 20148, 525, 607, 1434, 693, 2773, 616, 2111, 547, 2744, 13319, 543, 1379, 538, 606, 3919, 563, 10048, 1771, 1983, 3648, 5351, 538, 519, 9740, 540, 3853, 543, 6859, 538, 606, 3919, 269, 5004, 1983, 616, 1271, 538, 2504, 543, 2359, 540, 519, 3003, 1870, 1184, 269, 18509, 3215, 2238, 538, 606, 3919, 2154, 519, 812, 3455, 547, 723, 7850, 1344, 547, 1118, 3617, 3664, 563, 312, 879, 543, 31493, 2993, 630, 1960, 271, 267, 533, 269, 476, 3451, 264, 2161, 602, 2792, 568, 606, 1271, 5578, 602, 6087, 835, 547, 5385, 1344, 543, 2744, 811, 1702, 269, 23016, 568, 851, 540, 2792, 543, 6087, 835, 547, 2744, 4030, 543, 17589, 2495, 689, 3177, 1344, 269, 9442, 849, 3322, 1818, 1344, 2139, 547, 519, 5520, 538, 519, 3919, 563, 763, 5075, 543, 519, 3853, 666, 581, 28078, 538, 4434, 269, 634, 21712, 2497, 540, 519, 3919, 1344, 666, 581, 3177, 269, 10572, 779, 1909, 568, 5693, 13890, 547, 2057, 21390, 563, 27832, 976, 543, 4030, 6591, 454, 296, 1087, 1132, 602, 8451, 538, 2359, 666, 581, 12193, 267, 543, 519, 10721, 3853, 581, 6913, 269, 23016, 547, 513, 7817, 543, 1620, 1018, 789, 991, 568, 513, 31707, 5578, 269, 9796, 532, 18906, 4369, 543, 3478, 27792, 568, 1271, 538, 1169, 1870, 1184, 269, 12243, 2679, 3340, 8404, 585, 1169, 4759, 563, 763, 8404, 666, 581, 6913, 952, 1169, 4759, 12034, 519, 6887, 960, 607, 741, 1967, 269, 16840, 1058, 16111, 4497, 538, 2319, 960, 585, 5140, 2164, 547, 581, 5833, 563, 18183, 26555, 666, 581, 17251, 952, 972, 568, 2792, 269, 1677, 4383, 4655, 267, 16395, 602, 1291, 547, 11650, 543, 14207, 616, 7691, 269, 31740, 666, 4487, 519, 6214, 543, 1379, 1894, 538, 519, 3919, 543, 2744, 13319, 269, 717, 8724, 1379, 936, 1866, 949, 1860, 835, 779, 2078, 563, 32715, 4315, 666, 1451, 547, 2226, 513, 2078, 543, 5431, 2319, 960, 607, 7104, 1967, 269, 24285, 666, 3927, 15518, 622, 9021, 543, 12492, 1967, 269, 1358, 666, 3972, 741, 5520, 547, 1118, 519, 1318, 3664, 269, 20556, 1063, 9946, 543, 741, 15118, 12542, 666, 581, 5693, 13890, 563, 763, 2013, 2090, 3177, 6542, 602, 2591, 538, 2359, 666, 581, 7753, 269, 12708, 1983, 607, 5941, 1331, 6947, 1983, 267, 2319, 960, 267, 4655, 2359, 267, 1620, 1379, 543, 6214, 538, 606, 3919, 543, 12561, 5718, 543, 16882, 1983, 269, 5004, 1983, 2087, 2773, 543, 2333, 4398, 269, 31740, 2154, 8404, 543, 666, 1451, 547, 2226, 2635, 3347, 538, 519, 960, 1747, 563, 290, 330, 9248, 269, 630, 1001, 272, 1040, 5295, 543, 6214, 269, 5680, 563, 293, 5987, 2006, 267, 681, 269, 589, 1421, 1299, 4354, 337, 718, 267, 590, 269, 595, 1421, 630, 1220, 271, 1040, 1548, 4422, 1472, 2501, 1472, 281, 634, 1764, 540, 2123, 4655, 2511, 593, 960, 4655, 543, 2566, 269, 634, 3486, 4750, 540, 18366, 5004, 267, 476, 1556, 630, 272, 2567, 476, 3953, 268, 3374, 269, 5680, 563, 29804, 2065, 5004, 269, 630, 1220, 279, 1040, 17461, 1344, 281, 5718, 543, 16882, 269, 5680, 563, 3725, 327, 267, 674, 269, 808, 269, 630, 1220, 277, 1040, 23016, 568, 513, 4105, 2359, 5578, 269, 5680, 563, 3725, 327, 267, 674, 269, 808, 269, 630, 1001, 272, 1040, 12243, 2679, 269, 5680, 563, 312, 879, 267, 654, 269, 590, 269, 700, 1421, 543, 31493, 2993, 267, 667, 269, 630, 1960, 271, 1040, 15440, 658, 7592, 543, 10341, 269, 4750, 540, 2359, 4886, 267, 476, 280, 630, 277, 2567, 476, 3953, 268, 476, 2412, 0, 295, 4348, 338, 540, 1453, 9907, 2630, 2185, 1296, 2661, 609, 741, 11299, 538, 15057, 779, 30813, 267, 799, 616, 3622, 5185, 609, 267, 20316, 267, 796, 1506, 8162, 545, 2175, 1851, 1082, 824, 2042, 269, 901, 568, 5103, 519, 1249, 602, 30813, 616, 711, 2922, 4025, 585, 9176, 2021, 267, 9002, 543, 1762, 1453, 563, 1103, 3127, 585, 1383, 267, 1453, 607, 2025, 607, 476, 1428, 1296, 723, 27333, 7283, 538, 7890, 609, 741, 3237, 267, 1317, 18864, 568, 8348, 547, 2445, 873, 269, 4033, 2477, 899, 16157, 2705, 267, 798, 711, 1450, 1453, 540, 1022, 2085, 547, 2661, 538, 7890, 269, 769, 22728, 28573, 267, 1453, 616, 4847, 547, 2661, 609, 741, 11299, 585, 519, 1101, 1614, 1296, 540, 741, 2729, 269, 769, 6792, 267, 1453, 666, 3251, 609, 741, 11299, 2394, 789, 616, 476, 277, 1296, 2025, 269, 769, 15787, 267, 513, 1126, 666, 28020, 1658, 880, 538, 7890, 609, 1200, 3993, 2394, 1352, 7140, 476, 1240, 1296, 269, 681, 5699, 3368, 519, 2477, 538, 519, 1158, 1450, 11299, 7674, 513, 4845, 547, 2661, 609, 741, 1453, 267, 952, 1152, 585, 513, 1906, 3275, 269, 901, 568, 2687, 547, 513, 476, 1001, 275, 7732, 540, 6837, 7797, 454, 8170, 519, 476, 3607, 272, 1453, 267, 476, 3199, 616, 609, 741, 11299, 693, 519, 18999, 685, 1092, 6468, 779, 29277, 269, 1452, 1453, 1336, 741, 1259, 883, 891, 30813, 3274, 1317, 741, 11299, 941, 29802, 267, 543, 602, 621, 729, 711, 19624, 547, 5094, 873, 689, 741, 11299, 563, 2691, 513, 3993, 568, 29802, 267, 1200, 1762, 1453, 949, 979, 883, 7890, 609, 1200, 610, 581, 9674, 689, 1200, 543, 2451, 693, 1753, 563, 13828, 3871, 666, 2322, 519, 1126, 693, 1981, 269, 20226, 2161, 602, 1453, 540, 23948, 730, 3237, 616, 3670, 2053, 811, 2693, 982, 824, 6107, 547, 2244, 538, 7890, 693, 930, 1448, 538, 741, 1378, 2729, 267, 543, 519, 3510, 949, 581, 8338, 585, 519, 1453, 2713, 609, 741, 23948, 730, 11299, 538, 7890, 563, 2005, 779, 519, 1482, 7097, 267, 1114, 5641, 267, 693, 519, 12653, 18553, 6468, 779, 29358, 29277, 1141, 519, 1453, 896, 519, 2085, 540, 476, 275, 616, 14538, 540, 519, 1533, 21806, 540, 741, 11299, 945, 723, 1044, 26722, 540, 1585, 10963, 563, 763, 6821, 616, 21243, 609, 18305, 26901, 532, 9909, 540, 5191, 267, 519, 7484, 15236, 616, 2407, 540, 9162, 267, 519, 1835, 11726, 3832, 562, 2335, 625, 12271, 616, 16802, 532, 609, 2648, 269, 3245, 519, 533, 842, 13355, 30079, 547, 519, 10477, 5127, 7741, 543, 18147, 4904, 609, 16765, 29354, 28886, 344, 3380, 267, 972, 779, 1100, 2243, 1453, 2661, 1934, 454, 763, 15585, 776, 11833, 540, 12653, 836, 685, 320, 568, 8247, 540, 4758, 891, 1453, 513, 2631, 540, 3339, 1097, 5103, 741, 30693, 267, 865, 602, 789, 666, 7753, 741, 25031, 1376, 538, 1272, 563, 763, 15585, 12579, 5249, 609, 519 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 5642, 689, 519, 936, 2391, 2960, 610, 689, 2571, 5160, 5563, 998, 519, 1973, 3761, 563, 1432, 568, 1323, 330, 548, 2598, 331, 6327, 888, 2304, 330, 548, 20247, 6327, 568, 513, 2783, 602, 4386, 950, 519, 7633, 540, 519, 2539, 1850, 1572, 519, 4017, 3121, 543, 512, 28992, 1205, 9674, 689, 519, 5657, 639, 610, 21721, 5642, 269, 901, 666, 2014, 3978, 3441, 547, 519, 13285, 543, 28587, 4478, 519, 21721, 267, 3056, 547, 513, 7771, 538, 4222, 543, 2949, 1072, 540, 519, 1850, 563, 27246, 540, 1323, 330, 548, 2598, 331, 6327, 454, 5278, 540, 519, 1455, 3123, 540, 21721, 20247, 6327, 1331, 912, 268, 16359, 6174, 10913, 454, 268, 11846, 5945, 454, 268, 769, 1189, 610, 21286, 12902, 540, 519, 21721, 454, 268, 27275, 8813, 454, 268, 6034, 2887, 593, 519, 3723, 454, 21618, 540, 1323, 330, 548, 2598, 331, 6327, 454, 763, 4191, 543, 2589, 540, 21721, 20247, 6327, 1331, 912, 268, 27275, 1928, 454, 268, 1323, 330, 548, 11926, 543, 20015, 2358, 454, 268, 853, 858, 1145, 543, 8467, 454, 268, 7799, 14591, 538, 519, 3350, 540, 519, 21721, 454, 7312, 4387, 786, 2689, 707, 2589, 543, 2564, 1686, 543, 1685, 513, 9488, 2168, 6514, 547, 2638, 585, 513, 2039, 540, 5163, 543, 1022, 3441, 547, 519, 28587, 267, 1973, 2095, 267, 543, 6617, 269, 634, 1739, 10368, 4255, 949, 581, 5340, 585, 2417, 6268, 540, 519, 13676, 21721, 563, 268, 2473, 17530, 281, 4438, 713, 1353, 267, 1164, 13590, 1648, 20832, 616, 1031, 547, 3132, 2592, 540, 519, 7633, 563, 268, 11632, 11571, 281, 7981, 1535, 17530, 616, 1031, 547, 3132, 2592, 540, 1022, 3441, 538, 519, 21721, 563, 21675, 585, 1323, 330, 548, 2598, 331, 6327, 454, 2791, 786, 581, 25009, 547, 4019, 606, 4672, 3640, 543, 1832, 707, 21721, 538, 606, 11506, 2990, 547, 2569, 11926, 269, 13689, 593, 707, 2783, 267, 707, 4387, 786, 1747, 519, 4299, 1850, 538, 513, 9354, 25231, 547, 1832, 621, 7123, 543, 949, 21559, 6527, 547, 2569, 1928, 543, 11926, 269, 1411, 949, 991, 6391, 547, 7816, 1022, 8697, 28587, 267, 1973, 8043, 267, 13285, 267, 610, 1022, 11105, 3889, 540, 519, 21721, 269, 0, 21316, 2207, 24361, 19419, 21788, 4753, 12813, 3198, 301, 5058, 630, 300, 14641, 2187, 268, 631, 14641, 568, 513, 9836, 4058, 543, 1852, 12191, 585, 2504, 543, 11891, 563, 268, 898, 568, 513, 5650, 585, 4058, 543, 9013, 519, 6151, 1570, 267, 12349, 2694, 543, 960, 538, 3356, 630, 310, 7709, 264, 6427, 1559, 2838, 538, 5663, 563, 268, 631, 14641, 568, 2966, 547, 2626, 1614, 2055, 454, 268, 1548, 568, 2877, 888, 268, 1215, 1454, 568, 2877, 888, 268, 1879, 568, 621, 2877, 888, 268, 898, 18252, 519, 1587, 2497, 267, 4393, 1344, 899, 2504, 24579, 10810, 618, 1291, 2053, 543, 11891, 4567, 538, 513, 19915, 547, 3132, 519, 1655, 1544, 563, 268, 4935, 631, 14641, 568, 513, 1062, 540, 4058, 543, 20319, 519, 942, 943, 1078, 1570, 10421, 585, 2504, 4238, 563, 268, 22802, 22159, 563, 268, 22159, 538, 13870, 543, 24822, 8048, 8648, 563, 268, 16842, 661, 1553, 13853, 563, 268, 674, 2120, 3210, 547, 2344, 2242, 563, 268, 20865, 4074, 543, 3937, 13345, 563, 268, 14568, 11891, 4058, 543, 20319, 563, 268, 25841, 11891, 2157, 1510, 4389, 6075, 3028, 563, 763, 2101, 5413, 540, 631, 14641, 1935, 568, 922, 2702, 547, 1544, 15768, 2694, 2504, 585, 513, 1360, 1950, 2504, 1062, 676, 20319, 782, 519, 2238, 2838, 547, 2743, 519, 2016, 4487, 8430, 1247, 8066, 1524, 960, 538, 3356, 11891, 563, 763, 2101, 11378, 547, 519, 1062, 616, 912, 268, 634, 4487, 2504, 8430, 28408, 1018, 547, 3132, 543, 950, 563, 268, 634, 1587, 2497, 1239, 1519, 3915, 540, 1570, 267, 23332, 6119, 609, 5663, 270, 27147, 1291, 942, 563, 268, 634, 11891, 4567, 3758, 585, 6151, 1570, 267, 960, 538, 3356, 543, 8737, 5370, 563, 16449, 519, 17016, 689, 519, 10189, 267, 519, 968, 326, 1484, 543, 2121, 10421, 1867, 892, 6920, 519, 12557, 540, 1931, 13847, 2838, 547, 2743, 519, 4487, 8430, 563, 763, 27519, 5288, 20509, 1867, 11887, 2436, 2200, 2838, 676, 519, 960, 7740, 616, 2139, 547, 3132, 891, 9753, 799, 568, 3730, 538, 4058, 936, 5503, 563, 763, 6300, 6989, 4058, 1867, 568, 513, 17609, 540, 6009, 676, 1813, 4266, 1141, 519, 1813, 4266, 6920, 950, 20619, 693, 602, 8257, 1058, 581, 6192, 538, 1931, 547, 2743, 519, 8430, 8612, 676, 519, 14407, 543, 2121, 10421, 1867, 269, 634, 6300, 6989, 28643, 786, 1287, 5305, 6009, 547, 6191, 609, 12032, 942, 538, 3108, 543, 1813, 7389, 585, 519, 3688, 563, 288, 6093, 5010, 1062, 2488, 3606, 1344, 538, 519, 1106, 540, 9868, 1867, 10834, 6009, 547, 581, 11880, 1243, 610, 632, 7721, 6244, 1243, 607, 513, 12343, 540, 17799, 538, 2504, 540, 3334, 269, 1546, 7721, 6244, 1746, 6585, 1524, 960, 538, 1184, 11891, 563, 32602, 308, 293, 16898, 7838, 5058, 19419, 21788, 4753, 12813, 3198, 301, 5058, 4083, 630, 300, 14641, 4083, 2187, 268, 19007, 12754, 12020, 630, 300, 14641, 4083, 264, 568, 3989, 607, 513, 1505, 585, 519, 2500, 4058, 540, 782, 2200, 540, 513, 5663, 2754, 269, 27814, 267, 621, 9607, 5665, 4058, 538, 4559, 267, 2883, 4058, 543, 814, 513, 11191, 12588, 547, 2626, 968, 6343, 268, 604, 892, 2055, 543, 10137, 540, 6806, 2000, 17274, 631, 14641, 563, 268, 898, 568, 606, 7471, 1344, 1062, 1031, 547, 1544, 543, 1852, 6427, 1559, 543, 19206, 538, 5663, 3549, 269, 631, 14641, 4083, 1062, 10974, 6455, 267, 11449, 267, 5663, 267, 8804, 543, 4702, 676, 12561, 513, 17122, 2504, 1544, 543, 676, 1210, 835, 19618, 6538, 547, 1544, 543, 9337, 519, 2238, 538, 782, 519, 1949, 563, 268, 1280, 19007, 12793, 912, 268, 14568, 1852, 540, 6427, 1559, 563, 268, 20865, 20319, 563, 268, 13870, 2078, 609, 7727, 563, 268, 1280, 11038, 543, 8779, 532, 12793, 912, 268, 25841, 2324, 3854, 585, 11891, 563, 268, 20865, 6666, 2095, 998, 18334, 5838, 625, 563, 268, 6452, 23847, 11891, 5638, 563, 268, 5384, 569, 543, 4570, 1942, 543, 20656, 1344, 563, 268, 1280, 5071, 270, 25811, 1359, 12793, 912, 268, 20865, 1374, 1852, 563, 268, 14568, 2298, 543, 2298, 1852, 563, 7728, 2207, 11266, 30990, 19419, 21788, 4753, 12813, 3198, 301, 5058, 630, 2207, 303, 2187, 2207, 303, 568, 606, 10137, 540, 7698, 18859, 618, 12020, 543, 19007, 12754, 12020, 269, 661, 14641, 568, 606, 8668, 4480, 547, 1683, 519, 7207, 540, 4015, 267, 5108, 543, 4859, 540, 5318, 9424, 540, 1239, 547, 267, 606, 13055, 547, 25117, 1870, 3252, 971, 607, 1374, 267, 5478, 267, 3892, 267, 3028, 543, 9657, 540, 1587, 2533, 543, 5512, 9477, 540, 1344, 2429, 519, 2754, 8164, 2838, 269, 0, 14276, 2657, 16721, 1563, 1145, 281, 15232, 540, 5046, 268, 866, 16195, 31048, 543, 13565, 670, 9391, 27557, 454, 1432, 21781, 302, 1336, 454, 763, 5046, 268, 866, 6855, 814, 12006, 519, 2956, 540, 10506, 685, 2702, 547, 2708, 543, 1521, 606, 2810, 1297, 540, 2550, 3564, 741, 3339, 10551, 4390, 267, 1634, 607, 519, 2564, 10006, 269, 2353, 5216, 10506, 538, 519, 21781, 302, 2689, 4080, 2789, 2591, 1644, 547, 5234, 267, 7727, 267, 2230, 267, 610, 1344, 269, 4340, 547, 519, 4972, 540, 2657, 543, 5274, 7896, 630, 295, 9391, 1070, 891, 616, 1883, 2609, 540, 606, 2500, 2564, 10006, 3210, 269, 2353, 5216, 10506, 4080, 5234, 532, 2591, 267, 1519, 513, 17732, 540, 5234, 547, 1832, 909, 609, 519, 2810, 1297, 540, 2550, 267, 543, 5234, 1373, 7210, 543, 8572, 547, 960, 267, 18363, 6413, 2533, 269, 9869, 8558, 723, 3144, 3268, 547, 2232, 891, 2591, 269, 1280, 1383, 267, 649, 723, 29979, 10986, 950, 2009, 543, 8036, 5234, 538, 519, 946, 540, 1697, 2123, 8825, 3937, 547, 2061, 3968, 269, 634, 2657, 5516, 29663, 267, 513, 1895, 540, 1072, 1416, 543, 3210, 3906, 538, 3989, 13664, 6753, 6462, 676, 670, 9391, 7616, 267, 19443, 519, 6413, 269, 1280, 1383, 267, 621, 20291, 3461, 19132, 547, 3262, 6413, 4452, 267, 5833, 543, 7856, 2877, 2564, 7727, 267, 543, 28078, 6413, 2115, 547, 2829, 563, 10890, 3249, 4600, 14775, 547, 519, 5046, 268, 866, 6855, 454, 295, 9391, 814, 3292, 543, 2238, 6322, 693, 4543, 10506, 543, 824, 3782, 6703, 5965, 585, 2564, 1147, 2471, 267, 855, 621, 568, 1932, 2038, 547, 917, 519, 7145, 540, 891, 3646, 269, 1280, 1383, 267, 670, 9391, 4566, 547, 2932, 513, 1007, 2564, 10006, 3635, 585, 519, 5742, 538, 476, 1708, 272, 547, 1449, 22026, 543, 1305, 9072, 547, 2268, 2773, 269, 1284, 616, 849, 3168, 693, 875, 649, 666, 946, 519, 4681, 543, 4245, 4121, 689, 938, 4879, 540, 519, 29663, 1282, 519, 476, 1708, 272, 6855, 547, 2087, 938, 1489, 547, 519, 29663, 543, 922, 2950, 269, 670, 9391, 568, 849, 7616, 519, 1646, 540, 519, 13636, 28155, 2657, 15863, 3590, 267, 799, 6663, 547, 1020, 606, 2500, 1935, 547, 14775, 547, 2564, 1147, 2471, 2066, 2789, 2829, 269, 901, 2882, 1732, 1239, 4687, 593, 4199, 543, 4390, 2152, 267, 543, 519, 1646, 540, 6131, 6887, 547, 4431, 547, 1114, 10898, 269, 670, 9391, 568, 6236, 1985, 3268, 538, 9750, 713, 6237, 1062, 269, 769, 1840, 267, 670, 9391, 10953, 2199, 4808, 585, 10506, 543, 824, 6703, 3238, 538, 3461, 1416, 267, 607, 2838, 676, 1876, 267, 547, 3986, 2564, 10006, 4390, 1282, 1857, 1072, 18002, 269, 12079, 10118, 1705, 711, 1683, 513, 4266, 585, 950, 519, 4808, 786, 581, 3370, 563, 3963, 21781, 302, 1705, 713, 1353, 454, 295, 9391, 5012, 519, 4182, 779, 2564, 543, 1857, 1072, 23982, 267, 3210, 543, 6051, 585, 18002, 543, 12469, 269, 901, 2882, 4543, 1628, 10506, 543, 824, 2564, 10006, 23982, 1949, 269, 9622, 2102, 2886, 971, 607, 519, 5046, 268, 866, 6855, 2322, 513, 16854, 8833, 593, 10506, 1282, 16839, 563, 763, 17455, 2438, 543, 2353, 28155, 16721, 1563, 1145, 543, 16743, 2920, 540, 476, 1001, 280, 2882, 14074, 585, 519, 21781, 302, 547, 2689, 922, 6388, 540, 670, 9391, 2199, 23982, 543, 3210, 4808, 585, 10506, 543, 824, 6703, 547, 2333, 2564, 10006, 4390, 269, 594, 6557, 1934, 269, 670, 9391, 1767, 519, 1615, 340, 766, 540, 891, 4808, 814, 1044, 16607, 607, 519, 3210, 547, 5046, 268, 866, 5170, 269, 634, 27334, 2464, 2920, 849, 2882, 14074, 585, 21781, 302, 547, 1867, 593, 519, 5313, 2229, 779, 3210, 547, 519, 6855, 269, 901, 1867, 7710, 630, 272, 264, 519, 3782, 10006, 2591, 602, 5697, 10506, 5185, 538, 14775, 547, 519, 5046, 268, 866, 6855, 543, 875, 519, 16195, 29663, 5280, 538, 741, 3646, 267, 543, 630, 273, 264, 519, 3782, 10006, 269, 2677, 32606, 5697, 670, 9391, 3292, 543, 2238, 25093, 547, 1489, 519, 3210, 547, 454, 2414, 798, 713, 960, 267, 21781, 302, 12649, 670, 9391, 543, 6413, 6054, 269, 21781, 302, 849, 26906, 670, 9391, 8387, 543, 13222, 689, 513, 1875, 24932, 1968, 14184, 3732, 540, 5216, 10506, 543, 5216, 28337, 12205, 2066, 1614, 2829, 269, 1452, 2829, 941, 5697, 1759, 593, 741, 9525, 538, 670, 9391, 6237, 23982, 543, 3210, 3646, 563, 288, 8908, 540, 713, 1867, 814, 1044, 11643, 547, 670, 9391, 585, 2689, 543, 6085, 269, 670, 9391, 3177, 2930, 8292, 563, 2690, 811, 1344, 267, 5225, 3346, 6307, 9324, 10247, 5336, 659, 879, 2917, 16733, 1708, 264, 476, 24423, 268, 279, 4649, 273, 264, 610, 1496, 16942, 6870, 4940, 0, 272, 22175, 516, 2986, 570, 8986, 9509, 8281, 8206, 301, 11246, 2336, 2662, 7241, 1505, 568, 1031, 267, 1004, 991, 547, 581, 5402, 25009, 538, 875, 547, 3575, 543, 946, 519, 3435, 269, 2710, 711, 946, 1932, 1454, 6070, 269, 1403, 519, 3070, 814, 1932, 1454, 6070, 519, 1126, 949, 20549, 547, 4235, 527, 269, 4746, 267, 1932, 1454, 6070, 666, 267, 538, 3665, 2665, 267, 2014, 5996, 6160, 687, 269, 18320, 2370, 6070, 323, 3996, 1100, 2800, 855, 568, 1447, 2500, 538, 7303, 18024, 6993, 11315, 3391, 547, 519, 2179, 540, 6070, 568, 602, 519, 3070, 1058, 6492, 1100, 6070, 1512, 982, 17229, 269, 304, 269, 1215, 1454, 3070, 798, 594, 3049, 286, 293, 3975, 1310, 1169, 10690, 5163, 269, 3849, 6699, 543, 1804, 1453, 1058, 4235, 693, 2547, 476, 274, 844, 11301, 610, 20990, 540, 10758, 306, 513, 1554, 2394, 789, 616, 1134, 9950, 778, 30839, 912, 272, 22175, 516, 2986, 570, 8986, 9509, 8281, 0, 293, 13904, 12280, 338, 769, 476, 13932, 272, 454, 31388, 267, 476, 6349, 5239, 476, 1708 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1229, 5761, 1185, 2919, 3330, 922, 18579, 1739, 24328, 782, 4191, 585, 1346, 8049, 827, 519, 18784, 606, 3359, 30443, 6362, 538, 938, 4552, 5023, 2960, 9641, 543, 8937, 1934, 568, 513, 6251, 1413, 891, 10477, 12222, 1413, 899, 11247, 538, 1249, 789, 616, 1483, 1272, 18767, 269, 12810, 540, 3330, 519, 5761, 454, 933, 15974, 606, 1935, 585, 1915, 1944, 7293, 30846, 540, 5761, 2860, 12162, 2737, 1210, 2322, 539, 29821, 4137, 476, 273, 2982, 519, 20104, 607, 513, 6516, 1101, 649, 4766, 9403, 4183, 2370, 568, 4867, 1634, 827, 519, 3157, 602, 5397, 5761, 2068, 519, 2702, 547, 8308, 13209, 543, 14404, 1518, 2550, 1131, 3976, 948, 19353, 936, 552, 835, 540, 519, 1292, 2591, 4843, 519, 5418, 9766, 344, 5868, 2344, 1867, 3947, 513, 1283, 547, 5377, 6516, 540, 1587, 20487, 5418, 9766, 344, 568, 519, 6553, 540, 519, 9245, 1634, 607, 5418, 3120, 602, 27788, 519, 9641, 3330, 519, 9221, 269, 12810, 540, 3330, 519, 5761, 454, 1492, 30439, 320, 11498, 689, 519, 8405, 543, 17337, 883, 1079, 1292, 11487, 14024, 1785, 12147, 2147, 547, 519, 30439, 320, 519, 1079, 3119, 11487, 14024, 616, 4092, 3330, 909, 519, 19357, 658, 3529, 1685, 519, 1482, 1599, 713, 3123, 519, 2011, 2604, 3330, 519, 9221, 13570, 547, 581, 552, 2362, 982, 538, 519, 4478, 2011, 713, 24864, 2011, 856, 540, 519, 9641, 543, 5555, 649, 17938, 1446, 1775, 723, 3769, 513, 3095, 547, 513, 13042, 519, 11234, 6516, 814, 1044, 9102, 593, 519, 3382, 540, 519, 1837, 607, 1134, 607, 593, 519, 3330, 3817, 4966, 2161, 519, 6516, 2523, 547, 2061, 1973, 689, 2469, 1394, 883, 519, 9641, 891, 563, 320, 6292, 540, 3352, 534, 1014, 16413, 723, 4465, 513, 21936, 547, 1374, 513, 1489, 8998, 585, 5761, 2860, 24412, 8810, 547, 2087, 5761, 1072, 950, 13881, 5781, 12001, 4837, 27788, 713, 2230, 2469, 676, 519, 6516, 799, 568, 2731, 782, 649, 723, 693, 519, 4090, 519, 7952, 786, 2253, 609, 513, 2582, 3926, 568, 602, 519, 1318, 2262, 602, 2934, 513, 1480, 2295, 9641, 543, 6797, 13365, 616, 519, 7929, 1062, 568, 519, 1445, 540, 713, 15922, 540, 519, 8858, 3340, 938, 2962, 513, 3774, 6516, 6645, 519, 1650, 540, 519, 13946, 10367, 538, 561, 2444, 14513, 535, 8896, 602, 22300, 7376, 729, 849, 563, 13312, 8183, 540, 18738, 631, 1926, 12810, 540, 18738, 14272, 12810, 540, 18738, 4530, 525, 12810, 540, 18738, 519, 9839, 2349, 1678, 25016, 12810, 3911, 758, 619, 25016, 338, 634, 9978, 12810, 540, 25016, 338, 12810, 540, 519, 25016, 338, 609, 3911, 5803, 12810, 540, 18738, 16690, 9839, 12810, 1133, 16932, 539, 14295, 3019, 540, 519, 25016, 338, 12810, 13928, 12810, 540, 25016, 338, 20668, 540, 519, 25016, 338, 12810, 5274, 25016, 338, 12810, 17755, 3863, 22193, 16530, 6516, 568, 513, 4480, 540, 10503, 519, 12122, 540, 5122, 3937, 10380, 267, 19838, 5122, 10380, 3937, 538, 519, 2655, 566, 593, 25553, 267, 689, 8470, 547, 4216, 25553, 602, 6227, 7658, 31553, 1299, 512, 7062, 793, 2718, 2460, 267, 7658, 5471, 1359, 267, 782, 3344, 602, 2154, 11443, 6516, 267, 1031, 547, 12398, 13779, 267, 1715, 18559, 16736, 267, 3092, 6185, 328, 8183, 2986, 18738, 634, 25016, 454, 1607, 28176, 6516, 5713, 547, 1683, 606, 1620, 540, 519, 3252, 543, 25029, 540, 606, 10380, 538, 1469, 267, 10503, 519, 3937, 1315, 10380, 2694, 630, 514, 3090, 1106, 264, 543, 519, 4296, 6185, 328, 8183, 2986, 18738, 634, 25016, 454, 1607, 5547, 6516, 2982, 519, 2949, 8647, 540, 513, 5547, 269, 2353, 540, 922, 1898, 3334, 543, 4296, 616, 11609, 676, 8642, 6698, 11231, 547, 4766, 4238, 607, 5693, 607, 2009, 855, 1510, 2543, 547, 519, 2168, 1106, 540, 519, 1585, 3688, 267, 3334, 610, 4296, 269, 0, 23219, 940, 281, 589, 1875, 5991, 10179, 545, 1871, 11402, 538, 1315, 24610, 270, 7349, 2537, 9706, 3016, 318, 6255, 6447, 11320, 335, 9762, 550, 14121, 1335, 525, 270, 2908, 560, 4209, 11721, 17313, 21703, 593, 1899, 476, 13679, 272, 454, 1692, 1677, 3680, 24613, 3414, 513, 22588, 21509, 19822, 454, 296, 4076, 1044, 6217, 513, 2603, 540, 2911, 10838, 15940, 658, 827, 873, 2348, 513, 968, 638, 6621, 3734, 6433, 6100, 1924, 1018, 568, 621, 543, 1018, 1281, 621, 1611, 286, 968, 763, 10116, 3734, 6433, 568, 513, 1974, 540, 1272, 8151, 689, 1000, 550, 625, 547, 19412, 2906, 267, 538, 799, 513, 1268, 5956, 547, 1745, 8969, 995, 827, 741, 1378, 2729, 267, 4547, 593, 676, 519, 2566, 540, 4742, 606, 2937, 269, 5871, 2589, 540, 513, 10116, 1272, 6433, 616, 1419, 4606, 540, 1373, 2048, 331, 739, 267, 18901, 267, 24949, 610, 11821, 685, 827, 1018, 3268, 547, 1491, 538, 1931, 547, 5912, 5265, 883, 15296, 9731, 292, 20891, 670, 269, 661, 686, 802, 517, 3357, 909, 609, 5933, 540, 26447, 1646, 811, 982, 476, 2004, 1296, 3516, 269, 3571, 3069, 729, 602, 693, 1142, 540, 891, 5933, 267, 1004, 4283, 883, 513, 4990, 540, 4655, 267, 1141, 789, 1590, 8207, 513, 14196, 269, 7982, 1287, 267, 621, 4667, 519, 4305, 540, 1762, 15296, 729, 547, 1265, 2648, 543, 7017, 1524, 269, 6875, 513, 1413, 693, 519, 5750, 2630, 630, 342, 833, 335, 4215, 3820, 1916, 2026, 596, 666, 1294, 267, 646, 561, 7927, 6502, 476, 1240, 268, 2412, 782, 1927, 607, 835, 11095, 3942, 269, 1809, 267, 952, 596, 6432, 547, 1018, 568, 2469, 593, 538, 519, 2729, 540, 476, 736, 1606, 558, 996, 902, 891, 2395, 267, 621, 4667, 789, 616, 6849, 513, 1114, 6560, 267, 835, 602, 3884, 1406, 5018, 1934, 269, 634, 2395, 1141, 3214, 1131, 979, 1055, 547, 2852, 267, 1205, 513, 1434, 2816, 2390, 22692, 538, 741, 5551, 2361, 267, 1205, 513, 1747, 540, 741, 1378, 543, 1376, 2713, 607, 606, 2937, 3100, 547, 581, 8854, 269, 5502, 267, 621, 779, 1631, 1831, 5051, 968, 7538, 892, 585, 2852, 20021, 547, 1847, 1394, 1753, 267, 6560, 609, 13864, 610, 1256, 513, 2312, 4287, 602, 789, 1616, 547, 2212, 538, 24015, 269, 4495, 789, 723, 6410, 1394, 1753, 267, 789, 666, 3362, 1831, 9678, 689, 741, 9905, 267, 1745, 19252, 543, 3284, 24602, 267, 543, 1175, 18516, 827, 741, 20304, 269, 2353, 540, 713, 666, 581, 1360, 4160, 1008, 3183, 267, 610, 1256, 1291, 547, 4965, 267, 7551, 1818, 1022, 3664, 610, 4464, 3350, 1256, 811, 540, 513, 4161, 563, 2026, 3237, 267, 972, 616, 1919, 649, 666, 798, 547, 3391, 938, 1762, 2937, 1453, 6707, 883, 15296, 267, 23248, 9319, 610, 693, 2547, 10893, 1022, 1826, 540, 968, 638, 6621, 3734, 6433, 6100, 1411, 2219, 707, 2816, 729, 2944, 950, 789, 5828, 476, 1240, 543, 2451, 585, 2852, 267, 855, 2731, 267, 607, 513, 2385, 267, 707, 2816, 568, 2760, 2944, 269, 3371, 568, 1018, 594, 4363, 547, 948, 3214, 6330, 998, 713, 4101, 942, 538, 741, 2729, 912, 268, 3399, 2038, 3450, 707, 1453, 875, 547, 581, 4830, 269, 1358, 1058, 917, 875, 547, 798, 782, 519, 1919, 2838, 547, 2661, 593, 707, 1378, 281, 27445, 267, 8286, 267, 7738, 267, 3092, 563, 268, 5213, 1406, 798, 585, 707, 2937, 1453, 1919, 789, 616, 5827, 540, 3257, 593, 741, 1378, 281, 1810, 1406, 798, 741, 27445, 267, 5986, 267, 8286, 267, 3092, 563, 268, 5213, 1406, 1118, 621, 1932, 6899, 585, 707, 1126, 547, 2097, 1394, 1753, 1279, 2165, 1310, 2852, 269, 3399, 2921, 936, 741, 4055, 609, 707, 15547, 3937, 610, 22927, 3684, 269, 5269, 621, 2312, 602, 713, 568, 711, 2731, 741, 4055, 865, 1454, 15042, 267, 2864, 513, 1747, 789, 2461, 9363, 585, 513, 1247, 563, 268, 11559, 707, 1126, 547, 3180, 1524, 930, 1826, 540, 2816, 4358, 538, 519, 7141, 1296, 543, 849, 998, 2852, 269, 7351, 1382, 2982, 602, 1034, 12820, 1745, 602, 8066, 1524, 513, 2816, 568, 2484, 811, 1271, 982, 1141, 596, 4682, 547, 1153, 610, 1256, 1018, 707, 717, 5183, 568, 269, 769, 824, 1913, 267, 789, 2461, 3168, 585, 1004, 602, 960, 2182, 267, 711, 24401, 6150, 610, 13886, 1490, 1846, 563, 268, 2201, 602, 4063, 267, 1810, 1406, 6318, 707, 3214, 547, 581, 24401, 6150, 610, 13886, 1490, 1846, 269, 5269, 873, 7118, 519, 1919, 789, 1616, 267, 4001, 873, 519, 1871, 540, 2182, 960, 543, 2724, 269, 5213, 1406, 4444, 873, 513, 22720, 310, 585, 741, 476, 1626, 628, 14512, 267, 1256, 952, 596, 666, 6488, 621, 269, 3807, 1317, 596, 666, 3085, 1406, 1611, 596, 454, 268, 6651, 873, 607, 789, 4283, 2852, 269, 13185, 827, 32407, 543, 2009, 11678, 543, 519, 19178, 540, 519, 2816, 2344, 269, 11559, 873, 547, 1118, 5079, 602, 786, 2965, 1450, 873, 547, 581, 2308, 762, 950, 789, 10927, 269, 1703, 616, 6009, 856, 972, 269, 14146, 619, 29153, 602, 972, 616, 1360, 1906, 3214, 4271, 908, 891, 2395, 609, 5232, 602, 20618, 873, 585, 519, 6009, 602, 2965, 2291, 269, 19573, 908, 609, 513, 476, 275, 269, 271, 538, 2296, 1869, 14906, 619, 596, 1447, 2308, 762, 982, 519, 4819, 945, 814, 513, 476, 274, 269, 271, 538, 7177, 610, 7025, 3163, 269, 0, 24589, 760, 781, 5753, 781, 25304, 454, 13510, 9005, 538, 14351, 454, 24309, 676, 1079, 11585, 3610, 543, 3370, 538, 7681, 609, 634, 9576, 2983, 7240, 5980, 267, 713, 568, 513, 7990, 995, 543, 19278, 4367, 547, 1565, 827, 824, 2694, 540, 519, 1158, 269, 2991, 513, 2489, 3184, 593, 2048, 5978, 14136, 3047, 8730, 519, 693, 20393, 814, 2312, 267, 2143, 7851, 267, 2596, 10923, 5013, 543, 5515, 543, 7990, 11147, 540, 1004, 543, 4025, 585, 1142, 11782, 282, 7132, 513, 7688, 267, 29395, 543, 4994, 269, 6520, 476, 278, 1700, 1321, 269, 0, 1103, 2221, 781, 5850, 649, 3136, 547, 1451, 2596, 22898, 607, 649, 946, 14487, 2824, 832, 547, 2511, 2609, 269, 17949, 2336, 21366, 281, 476, 278, 2764, 1982, 30949, 454, 3412, 1137, 666, 581, 1500, 883, 4945, 762, 6402, 593, 1357, 3817, 1210, 519, 19671, 11090, 269, 769, 713, 5850, 267, 649, 16833, 606, 3239, 11090, 538, 606, 19671, 3693, 1210, 938, 834, 258, 257, 27430, 865, 602, 649, 1810, 1405, 723, 547, 1589, 827, 1141, 519, 3095, 4422, 547, 269, 901, 568, 930, 2596, 267, 855, 1360, 3730, 14103, 563, 21366, 281, 476, 277, 4343, 1982, 30949, 454, 9213, 594, 1397, 875, 547, 946, 2596, 22898, 547, 1039, 10665, 1472, 707, 14103, 2609, 269, 7490, 899, 267, 6085, 543, 24049, 952, 596, 1336, 713, 3381, 3730, 563, 21366, 281, 476, 29900, 1982, 30949, 454, 299, 9722, 547, 5007, 3817, 568, 12913, 538, 14103, 1210, 606, 19671, 1257, 269, 769, 713, 5850, 267, 649, 946, 19671, 1257, 547, 3095, 513, 1906, 1913, 593, 938, 3896, 547, 606, 5007, 3896, 269, 1879, 519, 3593, 30390, 602, 3095, 267, 789, 786, 581, 2699, 20526, 547, 519, 9138, 3896, 269, 8262, 9684, 596, 547, 5131, 8943, 8805, 585, 2870, 713, 5140, 3896, 563, 21366, 281, 476, 5038, 273, 1982, 30949, 454, 13914, 827, 606, 2025, 5104, 651, 7901, 950, 596, 616, 3206, 540, 5925, 16181, 269, 15571, 16181, 616, 513, 4015, 540, 16181, 538, 799, 1152, 835, 7735, 666, 581, 20158, 693, 513, 942, 269, 1879, 596, 7903, 1776, 540, 519, 5925, 16181, 267, 519, 824, 16181, 1402, 909, 269, 594, 4363, 1603, 513, 1906, 5925, 7735, 2516, 547, 1205, 26224, 547, 519, 1259, 713, 2029, 6402, 1927, 563, 21366, 281, 476, 14625, 272, 1982, 30949, 454, 13425, 7901, 525, 616, 16814, 2609, 799, 1450, 519, 3593, 547, 2824, 2789, 3681, 689, 513, 1305, 540, 3681, 269, 6744, 7901, 2609, 8428, 3982, 569, 689, 5925, 16181, 1317, 789, 1450, 3755, 547, 2824, 2789, 5079, 267, 2864, 982, 513, 2582, 3903, 269, 1452, 616, 1271, 4245, 585, 1346, 1565, 547, 3009, 563, 21366, 281, 476, 5952, 274, 1982, 30949, 454, 2080, 649, 1397, 875, 547, 1039, 513, 3095, 865, 602, 952, 707, 3593, 30390, 513, 3095, 267, 596, 666, 723, 873, 7914, 547, 513, 1808, 1858, 593, 707, 3896, 269, 901, 568, 1360, 3730, 267, 5103, 602, 972, 568, 513, 17079, 538, 519, 1062, 649, 616, 1210, 269, 18378, 16046, 568, 1390, 585, 2870, 2241, 267, 2656, 547, 1224, 14103, 7270, 269, 17949, 2336, 21366, 281, 476, 276, 2764, 1982, 30949, 454, 9213, 649, 1451, 547, 946, 22898, 5049, 547, 2511, 2609, 269, 901, 568, 1776, 3888, 618, 540, 1250, 3126, 593, 1565, 547, 3009, 9001, 519, 1863, 24927, 290, 2086, 1357, 3498, 269, 11289, 596, 585, 8384, 269, 7490, 899, 543, 24049, 547, 1489, 713, 8756, 563, 21366, 281 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8086, 9789, 5086, 540, 8086, 11224, 519, 5086, 540, 11841, 1765, 933, 666, 1294, 602, 519, 3239, 543, 1843, 616, 519, 1482, 3845, 689, 519, 11604, 269, 901, 568, 513, 5691, 3239, 267, 2094, 621, 3112, 581, 15810, 9789, 12345, 1152, 2408, 547, 22132, 689, 513, 1455, 1448, 3297, 519, 11604, 269, 30052, 267, 952, 596, 3802, 3297, 519, 11604, 267, 596, 3112, 1294, 519, 3239, 267, 2094, 519, 12345, 798, 711, 979, 972, 269, 1809, 538, 4395, 540, 519, 11604, 267, 519, 12345, 13789, 4010, 607, 952, 789, 1185, 2097, 689, 3297, 519, 11604, 267, 865, 602, 568, 1141, 519, 3239, 568, 13883, 780, 3086, 1577, 721, 2015, 519, 17122, 3259, 540, 513, 11604, 1765, 1721, 1383, 267, 519, 6677, 1511, 20085, 19141, 538, 7612, 476, 273, 269, 681, 904, 540, 1769, 602, 10880, 519, 2627, 1246, 519, 1876, 540, 8086, 269, 1280, 513, 11604, 602, 568, 1804, 3379, 609, 922, 8953, 540, 22441, 267, 607, 538, 7612, 476, 273, 5416, 1070, 649, 1294, 602, 519, 10630, 12345, 798, 711, 3444, 693, 519, 1482, 1448, 267, 543, 519, 11604, 1281, 711, 723, 513, 1134, 20452, 17122, 1448, 269, 1403, 519, 11604, 1185, 519, 3337, 540, 513, 29236, 267, 519, 12345, 1131, 782, 3444, 693, 513, 2582, 1448, 267, 543, 519, 11604, 1131, 723, 513, 1134, 20452, 17122, 1448, 269, 1809, 1612, 20326, 19141, 616, 1454, 811, 7199, 547, 1118, 982, 20085, 19141, 269, 634, 3070, 568, 547, 946, 513, 11604, 602, 568, 1507, 3379, 609, 922, 8953, 540, 22441, 267, 607, 3254, 538, 7612, 476, 273, 6357, 1040, 630, 1607, 568, 519, 11604, 6697, 540, 519, 6094, 7828, 19406, 4700, 1677, 513, 1360, 1434, 19406, 267, 713, 11604, 814, 513, 1134, 20452, 17122, 1448, 693, 674, 602, 568, 519, 17122, 3845, 476, 1109, 5228, 519, 4099, 540, 519, 11604, 269, 634, 17122, 3259, 540, 513, 6677, 1511, 11604, 568, 2318, 267, 2094, 621, 568, 513, 4780, 3101, 11604, 780, 9617, 607, 585, 14485, 267, 519, 10156, 519, 17122, 3259, 267, 519, 811, 3532, 519, 11604, 282, 3976, 267, 585, 513, 11604, 267, 1932, 269, 589, 811, 9244, 17208, 11604, 814, 513, 10156, 17122, 3259, 543, 513, 3152, 1379, 269, 4635, 519, 1876, 540, 8086, 543, 930, 2241, 29890, 267, 621, 666, 581, 3254, 602, 519, 17122, 3259, 568, 3368, 519, 8953, 540, 22441, 267, 610, 692, 3602, 568, 519, 8953, 540, 22441, 540, 513, 20085, 11604, 269, 634, 4130, 519, 8953, 540, 22441, 267, 519, 4130, 519, 17122, 3259, 543, 267, 3976, 267, 519, 811, 3532, 519, 11604, 780, 763, 23756, 11604, 3254, 538, 7612, 476, 274, 849, 814, 513, 17122, 1448, 269, 23155, 12345, 540, 1769, 10630, 689, 519, 11604, 3100, 547, 22132, 689, 519, 1448, 674, 693, 519, 17122, 3845, 3297, 519, 11604, 269, 634, 17122, 3259, 543, 1379, 540, 513, 23756, 11604, 616, 2942, 267, 2094, 621, 568, 513, 11651, 3101, 11604, 780, 305, 599, 16439, 568, 607, 3730, 585, 19141, 607, 585, 14485, 269, 634, 3652, 585, 18422, 16439, 585, 19141, 616, 1759, 593, 519, 12383, 1175, 5941, 1384, 272, 269, 589, 18422, 16042, 513, 6677, 1511, 4780, 3101, 11604, 6252, 547, 922, 7852, 568, 10630, 998, 519, 17122, 1448, 674, 540, 519, 11604, 593, 519, 1482, 2427, 269, 630, 8450, 12345, 476, 272, 543, 476, 274, 538, 7612, 476, 273, 6357, 1040, 994, 273, 269, 589, 18422, 16042, 513, 23756, 11651, 3101, 11604, 6252, 547, 922, 7852, 568, 10630, 865, 602, 621, 4667, 547, 2097, 689, 519, 17122, 1448, 674, 3297, 519, 11604, 269, 630, 8450, 12345, 476, 272, 543, 476, 274, 538, 7612, 476, 274, 8094, 274, 269, 7102, 18422, 11495, 519, 4099, 540, 513, 11604, 568, 4553, 676, 7311, 519, 1876, 540, 8086, 282, 621, 2306, 519, 1482, 5086, 609, 519, 7852, 950, 6028, 607, 950, 16042, 269, 630, 8450, 18422, 476, 273, 538, 7612, 476, 275, 8094, 275, 269, 589, 18422, 16042, 513, 6677, 1511, 4780, 3101, 11604, 998, 922, 17122, 1448, 568, 10630, 6252, 547, 922, 7852, 269, 630, 763, 9258, 540, 12345, 476, 272, 543, 476, 274, 538, 7612, 476, 273, 8094, 276, 269, 589, 18422, 16042, 513, 23756, 11651, 3101, 11604, 676, 16144, 4724, 922, 17122, 1448, 593, 519, 6587, 2427, 568, 10630, 6252, 547, 519, 7852, 269, 630, 763, 9258, 540, 12345, 476, 272, 543, 476, 274, 538, 7612, 476, 274, 24355, 2171, 786, 946, 18422, 16439, 547, 9414, 875, 2592, 616, 4646, 676, 19141, 267, 543, 649, 666, 946, 18422, 16439, 11050, 569, 547, 3489, 10230, 1344, 269, 1809, 2094, 649, 8263, 1142, 11604, 568, 1507, 3379, 609, 922, 8953, 540, 22441, 267, 649, 666, 946, 519, 6094, 7828, 4834, 585, 19141, 1175, 607, 649, 1705, 585, 14485, 780, 13706, 519, 3510, 3254, 538, 7612, 476, 275, 267, 6677, 1511, 20085, 11604, 8086, 267, 538, 799, 606, 1843, 568, 5116, 20991, 689, 513, 6677, 1511, 630, 935, 591, 3101, 264, 11604, 982, 922, 17122, 3259, 269, 2334, 568, 267, 568, 2318, 543, 2073, 865, 602, 649, 949, 2503, 606, 3239, 2147, 547, 519, 2013, 476, 272, 1483, 3239, 4646, 676, 513, 4780, 3101, 7828, 269, 14105, 16439, 538, 7612, 476, 275, 2982, 602, 519, 12345, 689, 513, 1455, 1448, 593, 519, 1843, 782, 3444, 693, 513, 1448, 593, 519, 1482, 2427, 540, 519, 11604, 607, 519, 1843, 269, 4935, 513, 1483, 3239, 666, 581, 15810, 5196, 513, 5496, 5116, 693, 713, 4087, 269, 634, 3239, 3845, 568, 2318, 267, 543, 519, 3239, 568, 30141, 267, 865, 922, 3172, 2305, 568, 2942, 269, 901, 568, 513, 2013, 476, 272, 3239, 585, 19141, 269, 898, 15320, 689, 519, 2013, 476, 272, 3239, 585, 14485, 1152, 538, 602, 519, 3239, 568, 593, 519, 1482, 2427, 540, 519, 11604, 607, 519, 1843, 269, 898, 568, 6382, 9838, 780, 2162, 7151, 476, 272, 281, 589, 19270, 1511, 14484, 528, 692, 25821, 4055, 28909, 946, 513, 6677, 1511, 11604, 547, 2992, 18342, 630, 7644, 264, 5982, 689, 3905, 27810, 269, 8074, 602, 16843, 5205, 519, 1482, 1876, 540, 8086, 607, 7298, 1769, 269, 9717, 602, 519, 11604, 814, 513, 8953, 540, 22441, 540, 476, 2004, 269, 271, 4699, 543, 7472, 606, 3239, 540, 519, 27810, 476, 274, 269, 876, 544, 2476, 689, 519, 11604, 267, 1141, 616, 519, 27810, 2496, 25618, 344, 543, 10417, 692, 2171, 616, 2016, 602, 519, 6677, 1511, 11604, 3785, 513, 1483, 3239, 540, 519, 27810, 693, 606, 3239, 3845, 1547, 634, 27810, 616, 519, 1843, 267, 543, 649, 616, 4280, 547, 1265, 741, 4087, 20196, 568, 267, 547, 1265, 519, 1843, 3845, 546, 29081, 269, 1284, 616, 849, 2016, 519, 8953, 540, 22441, 540, 519, 11604, 267, 865, 602, 922, 17122, 3259, 568, 630, 27168, 2094, 519, 11604, 568, 6677, 1511, 610, 4780, 3101, 1040, 32114, 519, 11604, 568, 1507, 3379, 609, 922, 8953, 540, 22441, 267, 649, 666, 946, 519, 6094, 7828, 4834, 267, 547, 4194, 713, 1966, 780, 11405, 692, 7712, 543, 616, 1634, 267, 6094, 7828, 3830, 666, 581, 1031, 547, 1265, 23241, 305, 792, 337, 4474, 547, 20586, 3947, 692, 11767, 532, 1634, 9424, 3947, 513, 1871, 585, 23241, 1607, 1590, 581, 30141, 547, 1265, 23241, 30206, 692, 9616, 602, 519, 1843, 630, 1492, 27129, 264, 568, 20991, 689, 519, 11604, 982, 519, 11604, 779, 17122, 3259, 269, 901, 568, 513, 2013, 476, 272, 3239, 630, 543, 2318, 1070, 5812, 609, 519, 1249, 602, 513, 1483, 3239, 568, 4646, 269, 1411, 786, 1205, 519, 1034, 13671, 8143, 1648, 2047, 538, 4395, 540, 519, 11604, 543, 476, 274, 269, 876, 544, 2476, 689, 621, 269, 13575, 267, 713, 568, 711, 14909, 267, 2094, 621, 1223, 2014, 17236, 269, 15394, 267, 596, 1616, 519, 12345, 547, 10836, 6252, 267, 543, 713, 568, 12913, 676, 2348, 519, 27129, 693, 519, 17122, 1448, 540, 519, 11604, 780, 9616, 602, 519, 27129, 1934, 568, 711, 1454, 20991, 689, 519, 11604, 982, 922, 17122, 3259, 543, 602, 519, 3239, 3812, 568, 14320, 20991, 2476, 269, 901, 568, 4010, 26922, 547, 513, 13472, 1788, 528, 269, 1773, 5217, 513, 13472, 1152, 5594, 20991, 2476, 689, 519, 1788, 528, 7828, 982, 922, 17122, 3259, 7472, 606, 3239, 3648, 20991, 2476, 269, 1306, 519, 1843, 4991, 6251, 547, 519, 17122, 3845, 267, 519, 3239, 4991, 20991, 2476, 269, 769, 1249, 267, 607, 519, 1843, 3845, 4485, 519, 17122, 3259, 267, 519, 3239, 3845, 4485, 20581, 543, 519, 12345, 616, 2366, 856, 6252, 547, 835, 1776, 780, 2162, 7151, 476, 273, 281, 9891, 11272, 9198, 908, 3590, 692, 3080, 540, 519, 3859, 4066, 1031, 2221, 585, 10451, 5201, 568, 513, 3926, 630, 21406, 513, 1612, 20326, 512, 893, 610, 23622, 21689, 264, 602, 30211, 519, 7943, 5196, 513, 3109, 2989, 10612, 602, 3568, 513, 5714, 269, 901, 12699, 5714, 568, 29253, 547, 513, 3002, 9401, 9734, 267, 1141, 922, 3002, 1648, 568, 11843, 547, 1776, 1062, 602, 568, 1031, 547, 5352, 9252, 11652, 865, 5352, 5201, 998, 513, 6671, 9252, 4783, 269, 7612, 476, 276, 2982, 971, 513, 2324, 1062, 538, 7013, 4993, 269, 19270, 1511, 19141, 616, 1031, 547, 13404, 519, 7943, 5196, 519, 10612, 269, 634, 11604, 814, 519, 16977, 3337, 540, 513, 3296, 540, 513, 12718, 269, 1280, 519, 1966, 267, 8263, 602, 519, 11604, 568, 4010, 835, 6709, 6621, 540, 513, 2407, 12718, 780, 272, 269, 1403, 649, 6999, 547, 1747, 519, 5714, 21307, 11538, 10612, 476, 2412, 269, 271, 4699, 689, 519, 6677, 1511, 11604, 693, 519, 11604, 779, 17122, 1448, 267, 1018, 786, 581, 519, 8953, 540, 22441, 540, 519, 11604, 888, 273, 269, 3131, 11281, 540, 10612, 267, 1018, 786, 581, 519, 2179, 540, 7943, 13671, 5196, 519, 10612, 267, 14322, 519, 1202, 15684, 630, 4532, 1211, 3859, 5982, 264, 568, 15017, 274, 269, 1403, 519, 5714, 21307, 11538, 10612, 814, 513, 476, 273, 269, 876, 2275, 332, 8006, 267, 1018, 786, 581, 519, 2837, 2333, 540, 519, 5714, 829, 11281, 540, 10612, 936, 513, 1974, 540, 835, 8792, 286, 27539, 782, 519, 3859, 5982, 10071, 593, 519, 2992, 528, 568, 12842, 676, 519, 10612, 267, 543, 602, 519, 5714, 568, 7777, 3282, 780, 25618, 344, 692, 2414, 4194, 606, 21091, 10417, 9046, 649, 1590, 1101, 2697, 519, 2168, 3741, 3238, 269, 3487, 630, 320, 264, 568, 1644, 547, 519, 1699, 1888, 269, 3487, 630, 321, 264, 3322, 513, 2370, 2979, 267, 5097, 9511, 269, 3487, 630, 322, 264, 3340, 606, 1620, 540, 3002, 543, 5860, 780, 11405, 547, 630, 320, 2020, 2414, 513, 1434, 19406, 585, 513, 6677, 1511, 610, 10859, 17898, 17202, 2627, 267, 519, 1448, 1141, 519, 6252, 12345, 689, 519, 3141, 27721, 786, 581, 693, 519, 17122, 1448, 267, 865, 16317, 11405, 547, 630, 321, 2020, 763, 1202, 15684, 568, 1547, 1284, 1590, 1265, 519, 3444, 22891, 1858, 540, 519, 6677, 1511, 11604, 267, 2094, 519, 1379, 9447, 568, 1547, 634, 11604, 538, 713, 2013, 568, 513, 10116, 16687, 540, 513, 12718, 267, 865, 519, 1858, 585, 513, 3259, 540, 519, 11604, 568, 1547, 634, 1858, 585, 513, 3259, 540, 476, 272, 269, 876, 544, 568, 1287, 692, 763, 1202, 15684, 593, 519, 476, 272, 269, 876, 2173, 3259, 540, 10612, 568, 1287, 692, 11405, 547, 630, 322, 2020, 763, 2333, 538, 2837, 568, 2016, 676, 1547, 634, 2527, 540, 519, 7777, 3282, 538, 519, 835, 2173, 2678, 3296, 540, 10612, 568, 692, 11997, 267, 519, 2333, 538, 2837, 538, 835, 8792, 568, 692, 30206, 585, 630, 322, 2020, 2304, 5044, 540, 971, 12992, 538, 519, 4993, 9390, 666, 1683, 513, 8143, 3977, 540, 476, 7742, 24448, 593, 513, 13566, 1554, 267, 609, 12862, 8757, 5210, 607, 1164, 607, 1547, 1284, 616, 6236, 1152, 835, 11281, 540, 10612, 1934, 267, 543, 24937, 3002, 9271, 2059, 519, 10612, 780, 1432, 4523, 952, 606, 1843, 568, 6251, 547, 513, 6677, 1511, 11604, 982, 922, 17122, 3259, 286, 901, 568, 26922, 547, 513, 2013, 476, 273, 3239, 585, 14485, 630, 543, 2318, 1070, 799, 568, 513, 3172, 8595, 269, 769, 1249, 267, 713, 568, 875, 17539, 19141, 957, 607, 3172, 13294, 269, 7612, 476, 277, 5416, 264, 3096, 18422, 16439, 547, 12398, 519, 3239, 540, 606, 1843, 5116, 2673, 547, 513, 6677, 1511, 11604, 269, 681, 904, 689, 513, 1455, 1448, 593, 519, 1843, 616, 10630, 538, 971, 513, 6073, 602, 789, 2408, 547, 581, 4947, 689, 3297, 519, 11604, 267, 2495, 602, 519, 3239, 568, 5691, 543, 3112, 581, 15810, 269, 1306, 609, 513, 3172, 4328, 4837, 267, 519, 3239, 568, 20005 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1012, 1215, 798, 596, 6961, 519, 3017, 540, 18695, 2496, 2171, 666, 6961, 713, 1210, 9971, 6498, 269, 3689, 267, 649, 1413, 693, 519, 5072, 540, 513, 274, 1107, 536, 274, 543, 5612, 649, 666, 1294, 602, 952, 513, 815, 536, 267, 1287, 513, 274, 1107, 536, 274, 815, 476, 271, 267, 865, 630, 320, 1532, 264, 568, 513, 3815, 269, 8921, 267, 27682, 621, 281, 513, 274, 1107, 536, 274, 815, 513, 274, 1341, 476, 271, 320, 273, 321, 1341, 476, 271, 629, 273, 1107, 536, 274, 543, 946, 10991, 630, 528, 1279, 264, 6498, 547, 1265, 519, 824, 3815, 780, 1432, 568, 519, 4542, 585, 519, 3017, 540, 1079, 18695, 2496, 763, 2040, 610, 3017, 540, 1079, 18695, 666, 581, 1249, 1819, 883, 513, 1587, 540, 513, 23481, 2053, 513, 959, 30796, 269, 2334, 568, 267, 1535, 274, 20742, 274, 14352, 343, 20742, 7565, 343, 273, 6629, 15383, 20742, 273, 264, 543, 1535, 274, 6629, 344, 274, 14352, 343, 6629, 344, 7565, 343, 273, 266, 15383, 20742, 273, 264, 16317, 2162, 1772, 972, 513, 3017, 540, 18695, 2496, 11764, 610, 16338, 540, 10699, 525, 589, 9971, 538, 519, 1106, 513, 476, 274, 1341, 536, 476, 274, 568, 1572, 513, 2040, 540, 18695, 269, 589, 9971, 538, 519, 1106, 513, 476, 274, 1107, 536, 476, 274, 568, 1572, 513, 3017, 540, 18695, 780, 1432, 568, 519, 2040, 3017, 540, 18695, 4542, 2496, 2690, 519, 3017, 540, 18695, 267, 519, 968, 2381, 639, 892, 1129, 4422, 538, 519, 5276, 3815, 267, 513, 6567, 536, 282, 585, 519, 2040, 540, 18695, 267, 519, 968, 2381, 639, 892, 1129, 4422, 538, 519, 13392, 3815, 267, 513, 273, 6567, 705, 1341, 536, 273, 780, 2971, 1548, 568, 519, 1383, 540, 3017, 540, 1079, 18695, 2496, 7078, 689, 16387, 1384, 343, 274, 815, 586, 274, 1341, 1535, 273, 3287, 6567, 586, 264, 1341, 27976, 3287, 6567, 586, 264, 1341, 586, 273, 3287, 6567, 586, 994, 343, 274, 6567, 586, 274, 815, 1535, 273, 3287, 6567, 586, 264, 1341, 27976, 3287, 6567, 586, 264, 1341, 586, 273, 3287, 6567, 586, 994, 343, 274, 6567, 586, 274, 815, 630, 343, 6567, 586, 7565, 343, 273, 1341, 27976, 1341, 586, 273, 2020, 1692, 798, 596, 4194, 519, 3017, 540, 1079, 10945, 2496, 2691, 606, 4082, 666, 581, 9763, 607, 519, 3017, 540, 1079, 3501, 10945, 267, 1775, 4318, 269, 513, 11054, 1532, 11054, 267, 1287, 649, 666, 3815, 621, 607, 630, 320, 17070, 7565, 320, 1532, 1040, 1280, 1383, 267, 1535, 11054, 268, 1839, 666, 581, 1249, 1819, 607, 630, 343, 266, 276, 7565, 343, 268, 276, 1040, 901, 1505, 568, 1759, 593, 519, 4806, 630, 320, 17070, 7565, 320, 1532, 6661, 320, 11054, 1532, 11054, 267, 799, 666, 581, 20240, 676, 9750, 519, 24324, 538, 630, 320, 17070, 7565, 320, 1532, 6393, 1012, 6904, 616, 3604, 540, 3501, 18695, 2496, 288, 23481, 3815, 630, 320, 1107, 536, 264, 1500, 909, 540, 519, 1079, 13306, 5072, 540, 519, 3501, 18695, 9674, 676, 513, 14263, 1129, 269, 1403, 519, 13306, 3884, 1406, 972, 267, 543, 519, 1297, 568, 4130, 982, 519, 4102, 13306, 593, 519, 1592, 267, 1287, 519, 1297, 3884, 1406, 513, 3501, 13306, 269, 1280, 8273, 2338, 267, 946, 513, 3621, 9498, 543, 519, 13306, 3597, 7735, 780, 1692, 1705, 596, 4625, 3815, 519, 2040, 543, 3017, 540, 1079, 18695, 2328, 519, 1184, 2496, 273, 269, 5153, 8386, 9912, 7778, 281, 634, 2347, 26458, 540, 519, 2040, 610, 3017, 540, 1079, 18695, 568, 2944, 676, 1210, 513, 2241, 4542, 269, 2913, 513, 23326, 543, 536, 23326, 581, 1079, 18695, 563, 274, 269, 630, 320, 23326, 17070, 23326, 264, 815, 630, 320, 17070, 7565, 320, 11054, 268, 629, 17070, 11054, 264, 1280, 1383, 1107, 16748, 519, 4082, 630, 320, 23326, 266, 2767, 994, 275, 269, 630, 320, 23326, 1532, 23326, 264, 815, 630, 320, 1532, 7565, 320, 11054, 266, 629, 17070, 11054, 264, 1280, 1383, 1107, 16748, 519, 4082, 630, 320, 23326, 268, 2767, 2020, 2162, 1215, 798, 596, 946, 519, 2040, 540, 18695, 4542, 2496, 763, 2040, 540, 18695, 630, 320, 274, 1341, 536, 274, 264, 4542, 568, 6829, 607, 513, 274, 1341, 536, 274, 815, 630, 320, 1341, 536, 264, 630, 320, 273, 1107, 705, 1341, 536, 273, 6393, 1432, 568, 519, 3017, 540, 18695, 4542, 2496, 763, 3017, 540, 18695, 4542, 568, 267, 513, 476, 274, 1107, 536, 476, 274, 815, 630, 320, 1107, 536, 7565, 320, 476, 273, 1341, 705, 1341, 536, 476, 273, 264, 3245, 519, 2016, 3830, 267, 513, 815, 476, 276, 6902, 536, 815, 476, 274, 476, 276, 476, 274, 1107, 476, 274, 476, 274, 815, 630, 276, 1107, 476, 274, 264, 630, 276, 476, 273, 1341, 630, 276, 7565, 274, 264, 1341, 476, 274, 476, 273, 264, 815, 476, 273, 6398, 630, 1839, 1341, 476, 1428, 1341, 476, 280, 2020, 2971, 1215, 798, 596, 6961, 513, 3017, 540, 18695, 2496, 288, 3017, 540, 18695, 568, 540, 1576, 513, 3501, 13306, 14263, 513, 3501, 13306, 269, 1284, 666, 6961, 713, 1210, 9971, 6498, 269, 3689, 267, 649, 1413, 693, 519, 5072, 540, 513, 476, 274, 1107, 536, 476, 274, 543, 5612, 649, 666, 1294, 602, 952, 513, 815, 536, 267, 1287, 513, 476, 274, 1107, 536, 476, 274, 815, 476, 271, 267, 865, 630, 320, 1532, 264, 568, 513, 3815, 780, 1432, 568, 519, 6169, 540, 519, 4542, 2496, 763, 6169, 540, 519, 4542, 568, 1360, 2241, 269, 1677, 6961, 519, 4542, 568, 6190, 547, 9062, 519, 4082, 281, 7151, 476, 272, 269, 16748, 2213, 1535, 274, 1107, 476, 2767, 269, 8827, 281, 15233, 519, 3017, 540, 18695, 4542, 269, 7151, 476, 273, 269, 16748, 2213, 476, 279, 1535, 274, 1107, 476, 2767, 586, 277, 16317, 1012, 6904, 4082, 4386, 538, 519, 3017, 540, 1079, 18695, 2496, 2304, 4082, 602, 4386, 538, 519, 3017, 540, 1079, 18695, 2356, 568, 1360, 2182, 547, 5544, 269, 634, 3017, 1063, 519, 1079, 18695, 568, 3160, 547, 519, 3017, 540, 741, 13306, 5072, 267, 799, 3568, 519, 13306, 5072, 685, 10945, 543, 519, 6587, 540, 519, 13306, 5072, 685, 1587, 269, 0, 2252, 590, 910, 570, 1797, 1412, 306, 262, 568, 519, 7385, 540, 1412, 307, 3299, 590, 1341, 570, 1797, 1412, 306, 262, 568, 519, 546, 13774, 1923, 8606, 334, 454, 9223, 692, 5002, 272, 5784, 692, 258, 1403, 590, 910, 570, 1797, 1412, 306, 262, 568, 519, 7385, 540, 1412, 307, 3299, 590, 1341, 570, 1797, 1412, 306, 262, 568, 519, 8250, 540, 570, 543, 590, 383, 371, 1109, 307, 1797, 1412, 306, 262, 568, 519, 5067, 540, 1412, 307, 262, 1287, 1018, 786, 1535, 631, 266, 297, 383, 371, 1109, 298, 1611, 2496, 272, 269, 1412, 298, 262, 568, 519, 4651, 540, 1412, 300, 7055, 273, 269, 1412, 300, 262, 568, 519, 6264, 323, 5922, 540, 918, 454, 274, 269, 1412, 297, 262, 568, 7385, 540, 1412, 298, 7055, 275, 269, 1412, 298, 262, 543, 1412, 300, 262, 616, 14552, 454, 276, 269, 7183, 540, 891, 692, 11405, 454, 15008, 26840, 1496, 321, 316, 568, 2953, 269, 631, 1341, 808, 1797, 1412, 300, 262, 568, 519, 8250, 540, 1412, 297, 8339, 808, 383, 371, 298, 1797, 1412, 297, 262, 568, 519, 5067, 540, 1412, 298, 262, 780, 5611, 700, 10105, 692, 12441, 333, 1405, 1174, 519, 3070, 286, 0, 25648, 6473, 9255, 10025, 15873, 692, 13981, 8691, 1739, 10203, 267, 1840, 267, 607, 1134, 607, 12408, 568, 1434, 269, 8866, 1174, 12980, 3842, 513, 5214, 11144, 269, 901, 13120, 540, 1620, 12980, 568, 2356, 519, 7766, 281, 10203, 267, 1840, 267, 12408, 267, 8691, 267, 543, 6038, 8257, 269, 901, 3948, 6770, 827, 519, 13214, 1946, 3605, 12980, 609, 713, 3126, 286, 4107, 11932, 267, 1946, 1174, 8691, 1310, 10203, 267, 1840, 267, 543, 12408, 1354, 6498, 2496, 272, 269, 8479, 9094, 1265, 856, 10203, 1101, 676, 1997, 908, 8642, 3688, 1818, 946, 540, 741, 3946, 269, 589, 829, 1061, 1043, 14745, 281, 1215, 1082, 13212, 2291, 689, 519, 11127, 286, 2859, 7493, 1383, 568, 950, 9907, 723, 596, 1044, 888, 273, 269, 3245, 10203, 5515, 267, 519, 1739, 26363, 5123, 568, 1840, 5916, 609, 12408, 269, 18827, 543, 12408, 7515, 666, 581, 1360, 3407, 3450, 2645, 585, 19920, 1317, 789, 616, 3308, 2200, 2870, 519, 5912, 689, 10203, 1454, 4443, 563, 274, 269, 6904, 786, 581, 4362, 909, 4947, 267, 8691, 610, 6498, 286, 18527, 568, 695, 2180, 663, 585, 1840, 269, 2311, 713, 1448, 267, 19920, 723, 513, 2754, 1702, 540, 1840, 269, 9182, 267, 8691, 568, 9090, 519, 1739, 7787, 1826, 540, 12980, 547, 3605, 780, 29619, 2596, 3741, 540, 8691, 269, 4746, 267, 6218, 519, 2596, 3741, 9001, 513, 8691, 3349, 780, 2171, 786, 6268, 513, 8691, 1383, 269, 4635, 513, 18527, 7305, 267, 21707, 476, 275, 2053, 1614, 543, 10536, 513, 3070, 476, 1321, 281, 476, 275, 676, 476, 274, 815, 476, 1321, 269, 634, 10167, 540, 4737, 513, 1906, 543, 6241, 2185, 540, 707, 18527, 7305, 568, 12964, 282, 12964, 568, 9090, 519, 3210, 269, 1280, 1453, 4358, 547, 1174, 8691, 267, 713, 568, 6157, 2241, 269, 1358, 666, 946, 1840, 547, 9004, 519, 3390, 4061, 3413, 15256, 602, 8691, 568, 695, 2180, 663, 585, 1840, 269, 7151, 281, 476, 275, 676, 476, 274, 815, 476, 275, 476, 275, 476, 275, 815, 476, 1321, 269, 898, 568, 2731, 606, 24077, 7650, 540, 519, 18527, 7305, 269, 634, 3773, 4324, 267, 519, 18527, 7305, 568, 7298, 543, 9727, 13059, 547, 12423, 1840, 780, 1103, 799, 786, 649, 2253, 4974, 8691, 1210, 519, 18527, 7305, 2496, 272, 269, 15020, 1101, 267, 1205, 31235, 609, 519, 3349, 563, 273, 269, 5192, 3323, 609, 14921, 676, 835, 1880, 269, 3399, 1055, 693, 4737, 1297, 835, 269, 3619, 593, 547, 6241, 1948, 476, 272, 269, 634, 10167, 540, 4737, 476, 272, 543, 6241, 835, 568, 519, 3070, 281, 835, 563, 274, 269, 1234, 2017, 2590, 891, 3527, 585, 14921, 676, 835, 269, 25092, 4737, 513, 2582, 676, 9587, 513, 2582, 998, 476, 1321, 269, 634, 3435, 616, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 267, 476, 279, 267, 476, 280, 267, 476, 1015, 267, 476, 1556, 267, 543, 476, 1321, 6606, 563, 275, 269, 1234, 12393, 891, 2553, 585, 14921, 676, 1079, 269, 21561, 4737, 1079, 676, 9708, 835, 1880, 676, 1259, 540, 476, 276, 1585, 269, 634, 4267, 616, 476, 273, 267, 476, 275, 267, 476, 277, 267, 476, 279, 267, 543, 476, 1015, 6606, 563, 276, 269, 2913, 721, 20014, 6619, 540, 942, 269, 19244, 891, 3268, 585, 14921, 676, 476, 276, 269, 21561, 4737, 476, 276, 676, 9708, 835, 676, 1797, 540, 476, 1321, 269, 634, 30491, 616, 476, 276, 267, 476, 1015, 267, 476, 1428, 267, 476, 736, 267, 476, 1839, 267, 476, 1789, 267, 476, 3374, 267, 476, 2412, 267, 476, 3393, 267, 476, 2004, 267, 476, 4649, 267, 543, 476, 2568, 6606, 563, 277, 269, 3767, 1577, 721, 6318, 519, 7274, 540, 2042, 269, 19244, 891, 2409, 585, 14921, 676, 513, 1906, 269, 21561, 4737, 476, 274, 676, 9587, 835, 676, 1259, 540, 12964, 269, 634, 3435, 616, 476, 274, 267, 476, 277, 267, 476, 280, 267, 476, 1321, 267, 476, 1428, 267, 476, 1240, 267, 476, 2641, 267, 476, 2190, 267, 476, 2767, 267, 476, 1789, 267, 476, 3451, 267, 543, 476, 3607, 5330, 5944, 563, 278, 269, 769, 2013, 596, 616, 8746, 609, 8691, 547, 4266, 267, 2015, 1210, 513, 6514, 269, 1763, 9876, 519, 1985, 8691, 2042, 538, 707, 2212, 543, 1310, 602, 5635, 707, 6114, 593, 519, 18527, 7305, 281, 21707, 3368, 513, 18797, 543, 476, 273, 267, 9062, 8370, 543, 476, 274, 267, 1332, 513, 2582, 543, 476, 1556, 267, 1332, 1896, 543, 476, 275, 267, 543, 9062, 1896, 607, 1134, 607, 476, 273, 269, 634, 3390, 4267, 616, 476, 1321, 267, 476, 2767, 267, 476, 1556, 267, 476, 1626, 267, 543, 476, 1691, 6606, 780, 19675, 596, 3893, 476, 275, 856, 540, 476, 276, 7965, 2953, 267, 1374, 707, 1378, 8691, 11400, 269, 6480, 1493, 519, 3435, 538, 707, 2247, 267, 543, 2638, 873, 9001, 519, 18527, 7305, 269, 0, 258, 14466, 10455, 4926, 267, 19556, 692, 763, 1739, 2376, 568, 689, 634, 4279, 8168, 15610, 630, 3192, 280, 1040, 898, 1522, 581, 22573, 610, 1361, 10999, 21678, 780, 1012, 14466, 10455 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 290, 641, 1716, 16307, 729, 4535, 5988, 476, 866, 267, 476, 15704, 274, 538, 5695, 517, 267, 12996, 269, 1261, 729, 4535, 883, 513, 3638, 1920, 267, 2705, 2073, 1010, 3237, 5747, 950, 646, 729, 1762, 269, 1261, 543, 1010, 16254, 941, 7550, 676, 741, 11515, 945, 729, 849, 3638, 543, 3532, 563, 4263, 519, 2085, 540, 476, 1240, 10515, 1716, 16307, 2451, 12996, 547, 979, 547, 1010, 1101, 2160, 538, 7977, 267, 634, 6280, 540, 918, 21531, 578, 269, 1261, 729, 9277, 547, 1353, 4031, 543, 6042, 540, 519, 18216, 4301, 5939, 855, 3079, 646, 3323, 4974, 2979, 543, 17651, 563, 5475, 711, 11264, 2852, 693, 519, 2160, 540, 918, 21531, 578, 646, 4682, 547, 519, 6280, 540, 645, 860, 3534, 547, 1353, 4915, 543, 1876, 269, 2755, 4974, 10515, 1716, 16307, 5030, 609, 17651, 7548, 667, 1580, 4815, 12756, 632, 18937, 4673, 269, 0, 26524, 6168, 22647, 4804, 888, 8698, 901, 9452, 4580, 607, 513, 22391, 8058, 2336, 8620, 707, 1378, 2336, 12024, 1548, 1411, 6423, 888, 1607, 1650, 4580, 729, 2813, 609, 454, 303, 11823, 5295, 20873, 1341, 1015, 454, 290, 10052, 1512, 630, 28846, 594, 18793, 264, 309, 17876, 895, 21650, 630, 30469, 1853, 595, 668, 6202, 18793, 994, 268, 8176, 594, 910, 3689, 4622, 4693, 539, 543, 13401, 268, 595, 668, 6202, 6205, 540, 20448, 454, 268, 8176, 4083, 5667, 15471, 2685, 6285, 4789, 268, 4107, 23597, 7333, 1639, 547, 7178, 8581, 268, 8830, 30808, 2744, 1379, 896, 1455, 17314, 454, 13349, 17314, 815, 630, 3467, 610, 1447, 264, 6243, 454, 268, 634, 11596, 267, 512, 11232, 985, 267, 3092, 269, 616, 6569, 268, 7402, 2227, 3022, 2069, 585, 782, 1004, 910, 25175, 936, 476, 1691, 586, 270, 334, 9575, 968, 2889, 325, 22135, 519, 7083, 779, 4303, 892, 1223, 581, 535, 1441, 454, 14917, 271, 910, 3933, 8944, 17468, 267, 8176, 4083, 568, 4622, 12739, 276, 910, 3571, 5067, 630, 22832, 4083, 264, 12374, 17599, 267, 16175, 18216, 4301, 12739, 279, 910, 3571, 8250, 5932, 968, 294, 3271, 1190, 7169, 892, 12739, 280, 910, 2296, 9291, 540, 7126, 543, 17290, 3933, 8944, 454, 7021, 476, 1691, 28985, 454, 8620, 3733, 3689, 9452, 4580, 0, 26524, 6168, 22647, 4804, 888, 24336, 18882, 9452, 454, 8698, 901, 9452, 4580, 607, 513, 22391, 8058, 2336, 8620, 707, 1378, 2336, 12024, 1548, 1411, 6423, 888, 1607, 1650, 4580, 729, 2813, 609, 454, 1103, 519, 22073, 972, 729, 1100, 4708, 269, 769, 606, 4212, 540, 586, 514, 543, 21583, 267, 1727, 657, 2572, 10692, 543, 11130, 563, 11073, 540, 519, 4212, 267, 3357, 513, 9649, 3957, 7754, 2871, 269, 1261, 11542, 538, 519, 1647, 540, 519, 3618, 543, 519, 6607, 563, 5475, 1296, 543, 1296, 540, 19459, 519, 19717, 267, 7754, 2871, 5747, 563, 14367, 1085, 1638, 2968, 519, 6607, 269, 3571, 4552, 2968, 6801, 543, 7362, 2968, 2842, 269, 3571, 642, 1622, 941, 9897, 563, 14367, 17873, 2968, 10239, 543, 1010, 2960, 2968, 2371, 269, 3571, 1973, 2968, 1216, 563, 32292, 2871, 2968, 513, 4190, 1747, 269, 898, 568, 10828, 602, 1010, 561, 823, 543, 7904, 553, 616, 519, 3504, 11937, 540, 812, 2186, 563, 7021, 476, 1691, 28985, 454, 8620, 3733, 3689, 9452, 4580, 0, 20058, 649, 786, 1413, 693, 9577, 16117, 267, 799, 568, 21739, 1759, 593, 519, 1568, 540, 2506, 850, 20736, 330, 8583, 476, 6977, 279, 268, 4489, 278, 269, 634, 4612, 22999, 1131, 5619, 543, 4983, 1946, 519, 1453, 941, 19071, 1242, 543, 1018, 519, 29080, 5921, 547, 519, 5171, 269, 1452, 8155, 543, 2418, 616, 4121, 676, 1514, 5238, 971, 607, 519, 1920, 267, 2069, 267, 2923, 267, 4984, 267, 1876, 543, 960, 269, 9861, 1514, 1242, 568, 2352, 543, 11213, 269, 2334, 568, 1317, 8808, 568, 865, 3309, 267, 543, 649, 616, 26752, 547, 723, 1185, 1082, 581, 659, 976, 540, 1769, 2097, 1354, 721, 538, 519, 1106, 540, 9835, 634, 528, 1235, 269, 14424, 543, 4334, 519, 1079, 1292, 25349, 6436, 540, 6760, 543, 1821, 4800, 563, 293, 23341, 1235, 5031, 519, 4998, 1920, 1826, 538, 513, 2413, 269, 631, 30639, 1572, 713, 513, 8833, 547, 606, 558, 773, 267, 543, 621, 568, 713, 2343, 1652, 7180, 799, 646, 1767, 3361, 6760, 538, 2486, 269, 1215, 835, 666, 2161, 875, 713, 3069, 568, 269, 32389, 568, 950, 972, 616, 2312, 6302, 538, 2486, 602, 2061, 1004, 689, 1140, 8724, 3160, 4567, 5103, 741, 960, 543, 4674, 2509, 1140, 8724, 971, 3853, 269, 1284, 2661, 538, 513, 1158, 1141, 649, 616, 9846, 11303, 676, 22099, 267, 17476, 267, 8613, 267, 519, 4950, 267, 543, 1454, 811, 538, 513, 1259, 602, 568, 4657, 938, 5380, 540, 5898, 269, 14100, 13187, 602, 538, 1142, 22184, 519, 4346, 568, 519, 10747, 4183, 563, 24292, 11870, 338, 616, 2486, 781, 4412, 3748, 2509, 1978, 16431, 282, 741, 513, 11437, 689, 1866, 282, 543, 741, 3044, 267, 9161, 2065, 2853, 269, 898, 786, 849, 1865, 543, 5581, 2123, 267, 14375, 267, 543, 2797, 16882, 269, 901, 1557, 786, 2263, 519, 1114, 16752, 1142, 6436, 1491, 593, 5396, 971, 607, 4984, 267, 2146, 267, 1920, 543, 2069, 269, 901, 568, 547, 519, 1198, 602, 1857, 16897, 693, 16339, 27809, 10963, 666, 7794, 1514, 17604, 269, 2859, 17618, 267, 513, 2486, 568, 606, 2804, 267, 1514, 543, 4853, 2497, 269, 4256, 1793, 25830, 1522, 581, 281, 667, 1143, 656, 548, 519, 13348, 8944, 676, 1818, 2021, 3160, 1369, 621, 269, 769, 713, 267, 646, 5941, 519, 2219, 540, 1514, 11144, 2429, 563, 21995, 7023, 569, 5872, 11710, 689, 5621, 745, 2065, 2623, 269, 3973, 519, 7084, 786, 5490, 883, 1142, 540, 519, 6436, 547, 3313, 875, 1142, 3069, 588, 2931, 909, 1996, 835, 1776, 950, 789, 616, 9788, 2427, 676, 2427, 269, 4014, 8385, 6014, 267, 547, 2057, 4550, 4149, 30146, 267, 670, 597, 2675, 3559, 4957, 547, 17557, 1143, 543, 849, 7550, 519, 811, 13998, 11807, 1101, 2012, 540, 26081, 5341, 950, 20913, 729, 513, 1126, 269, 5637, 2409, 723, 741, 26350, 538, 3160, 1318, 269, 634, 4655, 3069, 3081, 602, 1514, 1689, 568, 6225, 267, 14669, 547, 6212, 593, 1514, 1931, 269, 10572, 10453, 5555, 1451, 547, 7080, 754, 741, 1378, 1582, 4690, 585, 1346, 540, 2486, 607, 513, 2898, 267, 960, 1927, 543, 602, 1967, 538, 2069, 267, 1175, 899, 538, 2486, 267, 3322, 7029, 547, 513, 1871, 13618, 269, 898, 568, 5156, 602, 952, 835, 540, 891, 2609, 729, 12012, 610, 6569, 267, 1287, 519, 1062, 607, 606, 30810, 1131, 581, 4299, 267, 2705, 519, 1062, 568, 1360, 5827, 693, 7231, 609, 2242, 563, 1805, 1778, 568, 513, 1267, 540, 5821, 547, 8011, 693, 519, 3853, 1305, 676, 2486, 269, 634, 23398, 626, 2070, 540, 6760, 4667, 547, 11716, 519, 1249, 602, 4655, 543, 1379, 1281, 2291, 538, 2486, 269, 1452, 6436, 616, 6594, 593, 519, 2890, 610, 12550, 1377, 269, 24205, 568, 519, 1353, 540, 2486, 269, 645, 625, 3279, 543, 631, 1221, 9047, 4766, 519, 1966, 538, 713, 1259, 281, 634, 1448, 1934, 568, 267, 602, 519, 3621, 1353, 540, 1480, 1641, 2032, 814, 6663, 602, 8428, 32753, 689, 519, 6663, 540, 2168, 2257, 269, 14424, 543, 25037, 28636, 948, 3906, 3035, 3853, 543, 6859, 6008, 523, 1696, 620, 269, 6601, 24229, 8057, 909, 547, 581, 513, 1360, 7168, 8004, 267, 1200, 3158, 9846, 6766, 676, 1200, 3993, 609, 21522, 23462, 2553, 563, 763, 4612, 22999, 267, 593, 519, 824, 1688, 267, 6499, 547, 917, 1946, 1919, 616, 8345, 538, 513, 1880, 2486, 269, 4256, 2238, 616, 811, 25191, 543, 519, 10747, 4162, 540, 513, 2486, 540, 15746, 616, 1018, 796, 5809, 519, 2609, 540, 9097, 22158, 269, 14100, 1143, 568, 513, 7293, 3069, 799, 15109, 2486, 547, 581, 5258, 883, 1079, 1292, 1514, 5049, 282, 634, 681, 592, 619, 543, 519, 20709, 269, 634, 3631, 540, 5718, 1031, 616, 8200, 2390, 519, 1367, 10305, 540, 519, 3401, 267, 585, 1383, 7592, 267, 2418, 267, 1582, 268, 1211, 640, 267, 1983, 267, 543, 21941, 962, 4157, 331, 267, 476, 1001, 274, 267, 533, 269, 9521, 519, 14100, 1235, 267, 519, 6198, 1235, 2760, 2015, 7648, 538, 1920, 1272, 1759, 593, 1362, 267, 14940, 267, 4984, 543, 1327, 1275, 563, 1103, 824, 1913, 267, 621, 1797, 519, 1184, 17929, 2528, 568, 5293, 689, 835, 5108, 547, 1776, 269, 901, 3069, 568, 1759, 593, 31442, 1539, 1108, 1317, 621, 666, 581, 1759, 2390, 1367, 5872, 610, 513, 2582, 1268, 1210, 13513, 609, 606, 1843, 269, 769, 1840, 547, 713, 621, 786, 2832, 547, 3605, 799, 540, 519, 1614, 5380, 723, 519, 1034, 10083, 538, 2413, 1272, 269, 634, 1646, 540, 513, 24041, 2486, 729, 513, 1360, 15028, 3804, 585, 519, 5580, 1362, 269, 1703, 729, 513, 2603, 540, 1883, 17024, 1472, 713, 942, 945, 941, 1360, 9565, 538, 519, 5137, 540, 24205, 607, 513, 9015, 269, 898, 5956, 609, 519, 13429, 602, 1100, 957, 568, 11371, 1231, 1227, 7803, 563, 299, 28515, 267, 31012, 267, 543, 7101, 673, 12339, 24452, 27565, 22158, 568, 6353, 676, 606, 1367, 2065, 8561, 593, 7862, 269, 6270, 513, 5133, 1281, 711, 3362, 22937, 3294, 547, 1818, 543, 7836, 2724, 269, 901, 4667, 547, 581, 5621, 745, 1143, 693, 922, 1655, 269, 7994, 1614, 540, 891, 3741, 267, 543, 18783, 875, 513, 11001, 1522, 7237, 15784, 676, 705, 4575, 676, 891, 269, 1452, 616, 1806, 585, 607, 8282, 4567, 525, 543, 6913, 4567, 525, 269, 594, 723, 13671, 513, 2603, 593, 519, 1920, 543, 2069, 538, 1250, 6268, 607, 594, 3494, 602, 713, 2460, 9727, 3833, 5693, 875, 15852, 891, 1079, 6436, 616, 269, 0, 14187, 2783, 540, 519, 14779, 568, 1360, 1271, 585, 5959, 1072, 269, 18648, 14779, 2253, 547, 18053, 1282, 17678, 267, 543, 5555, 519, 4522, 21354, 8066, 519, 14779, 949, 1376, 547, 1847, 267, 543, 1256, 2887, 856, 269, 2334, 568, 1946, 621, 568, 1360, 1271, 547, 1832, 519, 14779, 538, 1434, 2783, 269, 1403, 519, 2042, 616, 5594, 10733, 267, 621, 786, 581, 6190, 547, 946, 7463, 26025, 267, 799, 786, 581, 18674, 543, 2943, 949, 581, 1447, 8886, 908, 547, 519, 960, 14779, 269, 6884, 267, 2705, 267, 602, 519, 6071, 946, 540, 3617, 26025, 568, 711, 2614, 267, 543, 1287, 596, 723, 547, 946, 513, 811, 7463, 5959, 2126, 269, 769, 2027, 2665, 267, 948, 666, 1152, 10551, 5773, 5340, 593, 519, 14779, 563, 763, 1101, 3643, 540, 519, 1126, 547, 519, 11290, 454, 9336, 3643, 547, 519, 11290, 513, 1126, 568, 585, 1864, 513, 2707, 540, 11999, 1995, 269, 23883, 513, 1126, 945, 4422, 547, 519, 11290, 585, 519, 1101, 942, 1058, 581, 18113, 5423, 585, 971, 513, 3643, 269, 6270, 7041, 949, 4125, 10647, 930, 11042, 609, 519, 1126, 543, 1397, 519, 1126, 875, 621, 5654, 11290, 269, 901, 666, 581, 2944, 1210, 519, 5769, 610, 1247, 538, 513, 1126, 781, 5042, 5959, 5604, 269, 6270, 513, 1353, 2356, 568, 13556, 513, 8799, 2681, 267, 543, 1282, 513, 3643, 547, 519, 1126, 666, 32708, 693, 519, 4023, 12682, 1446, 5129, 593, 519, 7641, 8288, 593, 519, 3774, 269, 4746, 267, 519, 11290, 945, 13000, 4522, 538, 1453, 568, 1134, 5423, 547, 960, 609, 519, 1126, 563, 29619, 540, 15482, 4079, 454, 29619, 540, 15482, 568, 513, 5959, 2596, 3028, 5340, 538, 1004, 540, 782, 6502, 269, 4475, 267, 621, 568, 13401, 693, 519, 4098, 540, 1142, 3643, 547, 519, 11290, 1317, 621, 2636, 585, 519, 9488, 6514, 540, 519, 3461, 781, 7202, 819, 4947, 269, 10435, 513, 2689, 540, 5959, 1416, 585, 1453, 666, 581, 1031, 547, 2638, 856, 875, 1453, 1020, 538, 8628, 4522, 543, 3313, 2436, 1022, 540, 519, 4522, 798, 711, 2154, 2126, 610, 3339, 8756, 269, 24641, 513, 2689, 540, 5959, 1500, 585, 4079, 568, 3274, 10992, 519, 2783, 540, 741, 4522, 543, 3313, 875, 621, 1058, 1413, 538, 513, 1880, 3461, 5650, 4549, 2218, 547, 519, 15498, 566, 540, 5959, 18032, 269, 4475, 5959, 2638, 1058, 581, 1500, 693, 2547, 2899, 513, 1032, 269, 0, 20082, 338, 630, 14140, 2278, 994, 20332, 5542, 11479, 1651, 760, 1304, 27754, 5103, 6024, 5444, 2095, 538, 1623, 335, 6222, 2681, 10641, 338, 540, 513, 14147, 11818, 3165, 454, 763, 1909, 602, 2067, 5542, 4249, 538, 27510, 27754, 2914, 603, 24932, 324, 32704, 3788, 11786, 269, 7822, 26340, 3359, 2709, 3638, 3255, 547, 2263, 875, 5542, 666, 5397, 519, 4720, 540, 10285, 10072, 1256, 538, 519, 3068, 540, 5444, 2095, 269, 1284, 11753, 11976, 267, 14498 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3296, 593, 2985, 476, 20720, 540, 519, 1837, 267, 543, 519, 2804, 2035, 596, 723, 19017, 1282, 938, 1576, 267, 2015, 519, 4123, 4507, 602, 694, 454, 304, 269, 8058, 519, 2079, 540, 3444, 2203, 286, 1284, 666, 7941, 938, 2079, 540, 3444, 2203, 883, 1614, 6810, 281, 20548, 26021, 3747, 269, 20548, 26021, 3747, 568, 513, 2101, 5057, 540, 3444, 4779, 454, 7617, 540, 519, 1739, 786, 6175, 519, 22194, 17211, 286, 589, 269, 1323, 2333, 538, 9204, 269, 645, 269, 1323, 2333, 538, 519, 7963, 269, 595, 269, 1323, 2333, 538, 2229, 24723, 269, 667, 269, 1323, 2333, 538, 1719, 454, 20779, 663, 281, 24637, 568, 7274, 540, 513, 1434, 23138, 945, 16858, 547, 6718, 693, 1142, 10703, 22133, 3902, 269, 634, 1876, 540, 3747, 6941, 721, 602, 952, 519, 3902, 540, 1978, 20161, 4679, 2676, 8063, 543, 2491, 1079, 2188, 602, 2014, 519, 10593, 538, 519, 3666, 540, 11033, 7455, 563, 1103, 6984, 1114, 1719, 3928, 609, 1114, 1319, 20914, 1131, 635, 12393, 519, 3631, 2705, 621, 9327, 1405, 4444, 596, 1360, 1454, 269, 5221, 1719, 3928, 609, 1114, 1319, 20914, 616, 454, 1432, 568, 519, 3017, 1063, 1412, 31642, 640, 13859, 262, 543, 1412, 26625, 569, 262, 286, 1703, 568, 513, 11984, 1851, 3761, 543, 7274, 13859, 269, 18242, 6941, 519, 2623, 540, 23965, 693, 1169, 929, 454, 763, 7694, 1790, 641, 1637, 5223, 3947, 519, 1297, 540, 1004, 281, 8564, 835, 281, 513, 269, 2324, 269, 536, 269, 2324, 607, 513, 6871, 540, 519, 1297, 540, 1004, 2139, 547, 960, 269, 524, 269, 538, 519, 4074, 3196, 563, 7476, 16798, 9547, 1299, 942, 593, 6765, 538, 1169, 7084, 1931, 596, 6976, 609, 721, 256, 1284, 2327, 14167, 2298, 3070, 3561, 2059, 609, 1863, 2881, 660, 514, 1867, 2336, 5472, 2924, 11603, 256, 25767, 23412, 9736, 1001, 280, 268, 1708, 271, 20226, 21790, 8668, 12409, 623, 26404, 13456, 0, 25321, 14888, 16739, 5508, 681, 3041, 298, 6167, 29308, 310, 6020, 16249, 454, 3918, 11266, 19860, 20978, 5990, 21850, 9680, 305, 3201, 21832, 306, 4041, 307, 9898, 454, 7212, 713, 1148, 814, 1044, 1472, 2094, 519, 5137, 540, 6142, 267, 621, 568, 711, 22991, 2944, 2221, 585, 3959, 4220, 563, 288, 2679, 814, 547, 723, 513, 6417, 3666, 540, 2837, 267, 7509, 267, 543, 2604, 547, 1599, 7363, 269, 3502, 1152, 798, 519, 31269, 540, 519, 2679, 1860, 519, 3666, 267, 865, 1281, 519, 1604, 267, 519, 2679, 946, 543, 2533, 267, 543, 519, 8825, 10359, 4478, 519, 2679, 4122, 1572, 519, 23508, 563, 295, 5200, 2175, 602, 2291, 267, 602, 616, 711, 4767, 610, 10294, 267, 666, 1860, 606, 1202, 3293, 2530, 693, 513, 2663, 4266, 267, 711, 1152, 538, 519, 6708, 540, 3441, 267, 855, 547, 519, 1942, 547, 11177, 519, 3441, 607, 1134, 563, 4322, 2175, 666, 581, 1336, 538, 519, 30120, 267, 538, 519, 2497, 267, 538, 519, 16538, 6821, 267, 538, 519, 22908, 267, 538, 519, 25810, 267, 538, 519, 1140, 923, 267, 538, 519, 8022, 1062, 267, 538, 519, 21818, 1062, 267, 538, 519, 5122, 1062, 267, 538, 519, 5003, 3599, 2127, 267, 543, 538, 519, 3354, 2934, 269, 9208, 896, 8586, 24422, 798, 711, 8209, 7866, 891, 23927, 563, 17269, 3036, 12164, 14888, 3582, 1797, 602, 519, 2679, 568, 711, 8647, 7157, 563, 16787, 2207, 17803, 12164, 14888, 3582, 1797, 602, 519, 2679, 568, 8647, 855, 711, 547, 922, 2407, 652, 4390, 563, 32271, 7495, 12164, 14888, 3582, 1797, 602, 519, 2679, 568, 8647, 547, 922, 2407, 652, 4390, 543, 568, 2965, 538, 513, 2530, 6604, 7154, 269, 0, 1103, 519, 19232, 32223, 543, 12379, 32223, 7725, 540, 519, 645, 6686, 330, 330, 15142, 519, 791, 29251, 540, 513, 4874, 874, 848, 22636, 543, 606, 12979, 328, 268, 788, 714, 4689, 23009, 1143, 941, 4767, 269, 634, 2168, 2175, 540, 713, 23009, 1143, 941, 519, 1482, 607, 602, 540, 519, 9998, 267, 13811, 850, 22636, 5123, 269, 634, 791, 29251, 540, 2663, 22636, 11775, 666, 3622, 581, 13747, 676, 741, 29684, 2511, 269, 3776, 7634, 729, 5059, 593, 519, 2511, 540, 24208, 543, 593, 519, 1114, 1257, 1116, 2609, 540, 14680, 799, 2919, 1282, 519, 2038, 22636, 5123, 269, 4340, 547, 12776, 11043, 2175, 543, 10923, 2990, 267, 519, 26642, 1397, 513, 1978, 2511, 3099, 269, 634, 1617, 559, 9707, 16784, 9511, 5673, 593, 519, 11098, 5223, 543, 519, 16169, 4334, 1063, 519, 6106, 269, 769, 519, 12136, 540, 1114, 1257, 1116, 3270, 519, 2990, 1369, 513, 16784, 543, 519, 840, 11546, 845, 1049, 10286, 2450, 1404, 606, 1271, 1909, 269, 634, 1292, 22636, 7271, 538, 519, 5386, 3766, 11712, 5119, 729, 2604, 3070, 267, 1247, 21432, 3766, 11712, 12627, 27960, 1397, 4191, 540, 6422, 973, 31051, 1436, 267, 799, 538, 930, 2665, 5012, 607, 2484, 607, 519, 1646, 540, 1250, 23127, 12792, 9403, 543, 2178, 24775, 1790, 516, 31084, 10066, 269, 634, 3604, 538, 8901, 2511, 540, 519, 1482, 4224, 2010, 1683, 513, 4493, 585, 10747, 23033, 1993, 18432, 4559, 538, 519, 9456, 851, 540, 519, 645, 6686, 330, 330, 631, 1206, 269, 0, 2710, 7314, 2731, 803, 578, 286, 16485, 539, 676, 281, 10906, 21701, 1923, 7831, 9337, 281, 476, 1240, 4873, 476, 1708, 272, 454, 30360, 281, 476, 276, 270, 276, 630, 273, 16018, 994, 9288, 12976, 568, 606, 4277, 13047, 1436, 538, 602, 2937, 7314, 1810, 1405, 2965, 803, 578, 693, 1142, 824, 267, 1175, 693, 1004, 269, 918, 8636, 839, 803, 578, 547, 1577, 741, 3993, 917, 789, 2811, 4411, 610, 17237, 267, 855, 2899, 789, 1205, 513, 3787, 4587, 267, 7314, 1100, 3476, 803, 578, 547, 824, 7314, 269, 3267, 2353, 7314, 616, 2469, 547, 803, 578, 547, 930, 6708, 1765, 10472, 568, 3339, 2792, 2623, 24707, 2407, 2626, 454, 20118, 835, 949, 2307, 267, 2052, 7314, 1174, 1480, 803, 3298, 888, 4131, 721, 581, 9237, 282, 7314, 3112, 1174, 1480, 803, 3298, 269, 3267, 1809, 824, 982, 602, 267, 547, 873, 267, 621, 1175, 4992, 899, 519, 3339, 1480, 1893, 269, 901, 568, 1317, 3425, 3112, 1118, 519, 3169, 803, 578, 602, 7314, 1118, 267, 4061, 1142, 803, 578, 4992, 1114, 269, 2725, 12976, 693, 7314, 2636, 835, 547, 23769, 873, 855, 593, 513, 1377, 602, 789, 666, 5660, 563, 2080, 1993, 267, 3657, 7314, 6126, 950, 789, 803, 578, 27085, 966, 5914, 10881, 454, 290, 1846, 666, 581, 1360, 13047, 267, 2523, 950, 789, 2811, 6126, 269, 3267, 589, 1164, 1790, 17097, 803, 578, 568, 513, 1543, 3032, 267, 1247, 513, 1970, 1790, 17097, 803, 578, 949, 5815, 606, 29043, 610, 20714, 539, 6539, 1399, 269, 2334, 834, 257, 1440, 31014, 4533, 1777, 256, 834, 257, 3280, 1082, 7314, 1118, 267, 568, 849, 513, 1434, 16315, 540, 513, 6126, 3032, 563, 10144, 849, 2307, 267, 3657, 7314, 24986, 950, 789, 803, 578, 888, 763, 4128, 1689, 607, 789, 1332, 689, 6539, 29181, 883, 7314, 269, 918, 8636, 839, 803, 578, 547, 741, 11299, 950, 789, 2811, 17237, 267, 4411, 267, 610, 18901, 269, 1809, 2899, 7314, 1205, 4587, 267, 789, 946, 824, 13047, 3074, 4534, 971, 607, 586, 578, 1782, 267, 1010, 28410, 267, 543, 1332, 1782, 4534, 547, 5968, 609, 1142, 824, 269, 2725, 12976, 568, 11603, 585, 741, 10618, 609, 1004, 563, 3963, 798, 7314, 803, 578, 1152, 547, 3425, 888, 303, 584, 2088, 6941, 875, 968, 611, 738, 7314, 267, 2713, 6306, 689, 3425, 267, 723, 1360, 2312, 2792, 609, 835, 1776, 269, 9697, 1893, 568, 9275, 6140, 998, 20416, 267, 1287, 998, 11132, 4082, 267, 1950, 1560, 1893, 543, 5905, 1848, 634, 2601, 7314, 803, 578, 14311, 693, 3425, 568, 3274, 1317, 968, 13906, 1893, 892, 3085, 1405, 960, 593, 1004, 2336, 7312, 3032, 803, 12976, 1394, 693, 596, 3085, 1405, 1611, 602, 1352, 781, 14344, 707, 2792, 543, 11173, 519, 6643, 1107, 621, 1797, 602, 1352, 6499, 1945, 256, 11109, 1767, 602, 267, 803, 12976, 693, 513, 3032, 6157, 4465, 1405, 2014, 1022, 2800, 563, 7804, 269, 19378, 1284, 514, 6199, 267, 13653, 540, 476, 26605, 966, 292, 4811, 267, 1767, 621, 666, 1745, 8799, 543, 635, 325, 344, 547, 723, 707, 3032, 3207, 593, 513, 5127, 609, 596, 2443, 930, 12777, 593, 707, 2212, 2443, 5732, 22196, 4160, 543, 3781, 1768, 5558, 269, 968, 763, 17498, 728, 568, 602, 7314, 616, 27248, 2831, 2223, 646, 1767, 563, 8133, 267, 607, 5892, 5018, 267, 930, 7314, 538, 1928, 630, 31860, 4049, 267, 6727, 1928, 264, 786, 3956, 856, 610, 875, 331, 269, 1403, 596, 1294, 713, 267, 1491, 873, 547, 519, 17022, 5612, 547, 723, 873, 13761, 856, 267, 1256, 952, 596, 666, 1405, 1294, 4376, 3116, 4636, 609, 873, 563, 763, 1101, 2601, 1946, 513, 3032, 803, 3298, 1247, 596, 616, 4620, 1154, 873, 568, 3274, 1317, 789, 2972, 621, 269, 19949, 1265, 621, 5418, 553, 9092, 950, 789, 616, 4620, 1540, 267, 1175, 607, 649, 1522, 2972, 3478, 513, 1394, 6299, 610, 18552, 269, 3267, 634, 2034, 1292, 2601, 1946, 513, 3032, 786, 803, 578, 950, 1373, 4620, 1540, 568, 1317, 789, 1616, 596, 547, 1832, 3257, 621, 563, 763, 22530, 819, 827, 513, 3032, 24986, 693, 3781, 568, 2808, 513, 3983, 522, 5443, 269, 2368, 2161, 952, 596, 5873, 513, 3032, 781, 3956, 693, 3781, 267, 1287, 596, 2811, 538, 585, 930, 3983, 9939, 268, 1256, 2669, 269, 6684, 267, 1866, 1533, 952, 596, 5873, 621, 267, 621, 1797, 2576, 7404, 814, 5747, 269, 3502, 513, 18822, 3364, 547, 4755, 693, 782, 585, 519, 22530, 25875, 563, 8133, 267, 7314, 899, 1373, 14437, 547, 543, 972, 616, 3621, 2090, 602, 1394, 621, 909, 1519, 513, 1353, 676, 5545, 3173, 693, 519, 2160, 540, 19519, 269, 898, 7000, 602, 7314, 666, 1174, 741, 8227, 781, 5639, 543, 789, 2628, 3007, 950, 14437, 547, 563, 5278, 7314, 798, 3100, 547, 899, 610, 693, 2547, 20496, 1480, 21098, 525, 269, 1403, 707, 3032, 682, 753, 538, 267, 1625, 3464, 267, 543, 6299, 338, 1010, 2212, 593, 596, 950, 596, 21098, 1864, 267, 646, 4440, 17358, 602, 596, 2811, 3843, 547, 1397, 1864, 15754, 563, 2414, 1397, 15754, 454, 2690, 7314, 267, 561, 10107, 568, 711, 1152, 1031, 607, 513, 25462, 7271, 267, 855, 849, 547, 1397, 15754, 269, 1635, 561, 10107, 596, 267, 824, 7314, 267, 610, 1256, 824, 10130, 267, 707, 3032, 568, 2870, 513, 1514, 6125, 269, 3267, 3509, 7314, 4163, 713, 2623, 883, 741, 2937, 2729, 267, 561, 10107, 741, 3425, 547, 1780, 2059, 519, 1482, 18941, 563, 290, 1846, 1521, 721, 607, 1498, 789, 1589, 649, 616, 9649, 267, 804, 636, 1910, 8284, 7314, 269, 3267, 9697, 2623, 11001, 3627, 4858, 1091, 24849, 540, 519, 2160, 540, 30290, 3081, 602, 7314, 4440, 1294, 721, 607, 2523, 804, 636, 1910, 2443, 799, 1034, 540, 721, 616, 267, 676, 3032, 4441, 269, 1717, 267, 5103, 1850, 687, 540, 5769, 1509, 525, 267, 789, 798, 711, 1294, 721, 607, 18174, 880, 18505, 12542, 563, 19119, 540, 1272, 16280, 454, 5715, 3233, 7314, 616, 2356, 8902, 267, 1932, 267, 799, 17990, 593, 18915, 12014, 585, 2126, 540, 21380, 3676, 267, 15495, 267, 543, 26252, 525, 689, 24515, 609, 824, 2831, 269, 3267, 4107, 7314, 945, 1332, 909, 3330, 1397, 1100, 31007, 547, 4734, 519, 3106, 540, 1753, 563, 290, 1846, 25506, 4256, 13574, 18780, 1765, 10214, 1403, 1358, 7994, 547, 22695, 648, 23067, 269, 19949, 616, 29200, 585, 741, 967, 29924, 547, 3425, 281, 3592, 1022, 8227, 786, 1449, 1518, 547, 875, 11593, 891, 2831, 11716, 721, 950, 649, 1289, 873, 269, 1809, 513, 1007, 1353, 6920, 6469, 7314, 798, 5431, 741, 1378, 4408, 1765, 16838, 952, 789, 3802, 2476, 950, 789, 5873, 873, 563, 15253, 1563, 547, 938, 13991, 5243, 267, 7314, 3100, 7168, 14955, 1356, 2740, 609, 1480, 12602, 269, 1809, 621, 5654, 899, 938, 26804, 15274, 2628, 811, 3007, 982, 649, 2285, 873, 5491, 585, 269, 1358, 3100, 547, 581, 2111, 547, 2995, 950, 649, 616, 6126, 269, 1715, 1382, 814, 1336, 519, 1101, 2178, 2963, 602, 7314, 616, 6213, 547, 1480, 3929, 17267, 563, 268, 19768, 540, 9314, 769, 14856, 543, 25530, 269, 898, 781, 1455, 585, 7314, 547, 6336, 741, 14031, 4724, 519, 1439, 540, 741, 2729, 269, 4429, 268, 26184, 31808, 1145, 269, 1411, 786, 5469, 707, 3032, 4742, 811, 29723, 1173, 545, 543, 32222, 547, 1847, 269, 4429, 268, 13722, 10610, 18323, 269, 4429, 268, 15448, 538, 2561, 30970, 543, 3911, 749, 269, 4429, 268, 16418, 532, 3752 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 902, 585, 2576, 899, 19332, 945, 6785, 4010, 875, 547, 13861, 891, 15523, 547, 1010, 5413, 780, 274, 269, 932, 9879, 14298, 289, 910, 15502, 267, 6148, 602, 2063, 851, 3884, 1405, 1945, 596, 4547, 909, 2047, 267, 855, 12517, 267, 19332, 1185, 1347, 1143, 320, 538, 838, 3547, 269, 4658, 8604, 6537, 547, 1864, 267, 1519, 1010, 1378, 2367, 543, 1256, 930, 540, 519, 1360, 717, 4954, 338, 646, 729, 3843, 547, 1016, 16746, 269, 898, 2306, 2631, 950, 596, 2015, 875, 1271, 14017, 543, 27907, 616, 538, 1022, 1895, 20089, 267, 2523, 13137, 780, 3719, 1934, 781, 1141, 1919, 1491, 606, 6397, 2490, 269, 1306, 4241, 607, 594, 1265, 19332, 781, 18517, 267, 594, 666, 1405, 948, 855, 1745, 3475, 1540, 1317, 267, 1134, 1862, 515, 7012, 1405, 3501, 269, 10787, 689, 621, 267, 2965, 269, 1280, 1383, 267, 1705, 596, 917, 602, 1247, 646, 729, 11112, 9518, 1359, 717, 4954, 267, 1394, 1753, 538, 7507, 267, 1010, 2797, 30347, 941, 934, 6748, 1864, 540, 782, 12204, 540, 15265, 1919, 286, 12653, 1457, 267, 13313, 267, 596, 2012, 621, 780, 4517, 1287, 972, 781, 519, 1249, 602, 5103, 3388, 19332, 6913, 267, 621, 6038, 3366, 547, 1010, 1378, 31774, 269, 3571, 19818, 585, 1379, 543, 1852, 1305, 1864, 593, 513, 16580, 1576, 609, 3532, 4229, 538, 7507, 267, 28285, 538, 1010, 26923, 538, 476, 4510, 7460, 269, 1924, 1454, 585, 6028, 513, 9371, 267, 1318, 2496, 3383, 9493, 1695, 267, 594, 7058, 1018, 594, 6415, 3843, 547, 2161, 568, 602, 4974, 3140, 5515, 899, 19332, 666, 4001, 721, 513, 2603, 827, 5718, 267, 4640, 267, 543, 1480, 2470, 269, 1809, 649, 849, 991, 547, 3314, 602, 789, 14201, 1405, 1102, 718, 1043, 12325, 282, 789, 941, 1950, 2043, 609, 9342, 6730, 20924, 267, 1175, 899, 4896, 3116, 269, 1656, 3006, 267, 1346, 1360, 1482, 7907, 602, 3142, 873, 1390, 1967, 666, 849, 30889, 519, 5452, 540, 741, 22638, 25010, 780, 9617, 1945, 547, 31739, 1985, 942, 596, 5490, 883, 519, 3045, 1023, 540, 1686, 256, 0, 2237, 513, 1650, 538, 519, 2511, 540, 1483, 3734, 3871, 602, 1004, 2671, 538, 15473, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 912, 18658, 1500, 25840, 19332, 781, 4640, 585, 9518, 1359, 717, 4954, 3811, 888, 19878, 3780, 19332, 781, 4640, 585, 9518, 1359, 717, 4954, 729, 3811, 1813, 547, 1896, 2188, 1384, 272, 269, 32493, 4108, 12485, 543, 3919, 269, 19332, 729, 513, 9952, 4108, 6205, 945, 6963, 4327, 519, 4936, 7952, 543, 2813, 1007, 12485, 602, 5795, 1864, 606, 5413, 936, 1010, 14763, 780, 273, 269, 24547, 11703, 24816, 269, 19332, 6591, 519, 1489, 540, 1082, 11829, 545, 11031, 676, 8108, 7580, 24816, 543, 5356, 873, 4027, 1996, 741, 14763, 780, 274, 269, 31666, 7701, 269, 19332, 5206, 827, 1010, 11044, 538, 717, 4954, 543, 1031, 18259, 547, 1711, 513, 2318, 3239, 540, 5128, 607, 513, 1390, 6205, 945, 729, 9750, 519, 4936, 7276, 585, 519, 3152, 1434, 780, 275, 269, 7457, 547, 2200, 269, 717, 4954, 729, 513, 14547, 3148, 609, 10731, 2067, 2200, 602, 19332, 1223, 7148, 883, 547, 2508, 1010, 4108, 11044, 780, 276, 269, 31808, 1145, 525, 1851, 11829, 545, 11031, 269, 634, 11829, 545, 11031, 941, 711, 8087, 543, 1419, 10692, 1851, 2933, 267, 799, 4847, 19332, 547, 17908, 741, 12755, 543, 20630, 873, 835, 10640, 763, 1650, 2115, 547, 1331, 513, 8903, 543, 6397, 4729, 6335, 269, 2659, 2239, 1058, 13469, 609, 519, 13597, 543, 2123, 5905, 1336, 538, 8468, 5717, 269, 3417, 11541, 2621, 543, 3929, 3178, 563, 0, 476, 272, 269, 274, 11137, 540, 519, 6092, 692, 8702, 547, 519, 3078, 1158, 540, 2620, 3818, 2389, 2532, 543, 13849, 1565, 256, 901, 1576, 6663, 547, 1683, 513, 3102, 7650, 540, 713, 6385, 9687, 2361, 267, 2679, 2390, 519, 13654, 2035, 5189, 538, 519, 3105, 6810, 269, 3776, 3804, 568, 711, 1152, 547, 1459, 519, 5767, 7811, 7760, 855, 849, 547, 2263, 741, 1483, 8996, 3156, 543, 6286, 269, 1284, 786, 5490, 883, 519, 14960, 540, 891, 3532, 2553, 267, 7421, 2487, 1382, 4681, 543, 9691, 10442, 5571, 9840, 1369, 519, 2146, 269, 1635, 519, 1439, 540, 713, 1770, 267, 596, 786, 4865, 513, 9488, 1620, 540, 519, 4909, 3741, 267, 7175, 596, 547, 4019, 873, 3927, 538, 1585, 7653, 543, 3565, 25006, 547, 2104, 7835, 780, 16215, 12856, 454, 2411, 692, 1607, 1576, 5161, 540, 3670, 4559, 267, 1142, 2519, 593, 3982, 3344, 540, 2620, 3818, 2389, 2532, 543, 13849, 1565, 1384, 272, 269, 2878, 7072, 547, 12213, 11638, 2389, 2532, 543, 26426, 4804, 1262, 630, 9690, 569, 2542, 994, 453, 265, 26479, 543, 2956, 454, 453, 265, 11137, 540, 519, 1576, 454, 273, 269, 2878, 28062, 725, 540, 17266, 6874, 2532, 4804, 12533, 453, 265, 5623, 540, 2582, 2389, 2532, 8849, 5121, 454, 453, 265, 26659, 6620, 543, 2834, 1436, 2409, 454, 453, 265, 4937, 1436, 23451, 543, 936, 7257, 1154, 6604, 454, 274, 269, 2878, 25648, 6874, 2532, 4804, 281, 7869, 543, 6396, 3098, 12533, 453, 265, 10434, 5288, 2571, 9936, 4687, 454, 453, 265, 8617, 1436, 2994, 585, 3818, 2389, 2532, 1565, 454, 453, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 28308, 11638, 2389, 2532, 543, 26426, 4804, 257, 5497, 585, 4648, 543, 3173, 538, 519, 2361, 563, 2171, 616, 4867, 1603, 519, 1101, 3184, 281, 834, 272, 269, 4985, 547, 12213, 11638, 2389, 2532, 543, 26426, 4804, 8487, 2171, 723, 2907, 4988, 519, 1739, 1016, 26972, 538, 519, 1699, 3184, 281, 834, 272, 269, 272, 269, 9502, 540, 2620, 3818, 2389, 2532, 543, 13849, 1565, 2580, 834, 272, 269, 273, 269, 11957, 540, 2620, 3818, 2389, 2532, 543, 13849, 1565, 8487, 2237, 519, 1007, 1016, 15492, 11331, 834, 272, 269, 274, 269, 11137, 540, 519, 1576, 257, 1247, 3843, 547, 581, 912, 268, 21004, 910, 596, 1711, 4101, 9499, 602, 3382, 519, 1570, 538, 3178, 563, 268, 12056, 910, 707, 9499, 723, 513, 2239, 9095, 543, 2502, 3159, 267, 899, 519, 1603, 540, 7812, 11066, 563, 268, 11930, 910, 596, 946, 1808, 543, 4052, 1806, 269, 1280, 1383, 267, 952, 519, 1888, 568, 5610, 538, 11810, 267, 1331, 4834, 543, 15997, 540, 519, 1523, 596, 2811, 3450, 269, 1306, 1776, 1383, 267, 952, 519, 1888, 568, 519, 1686, 540, 519, 2136, 2276, 267, 1331, 7389, 267, 4408, 267, 543, 1883, 2621, 563, 763, 1543, 1058, 2832, 547, 4497, 513, 3810, 18164, 5304, 609, 1360, 2620, 6791, 538, 519, 1888, 269, 3417, 2565, 2079, 540, 2487, 1382, 4681, 543, 9840, 538, 519, 2361, 269, 0, 8702, 547, 606, 3078, 1158, 1141, 4213, 666, 960, 1927, 609, 1114, 2516, 547, 948, 2149, 938, 1604, 256, 901, 1523, 568, 1572, 30393, 6278, 543, 12352, 267, 543, 621, 781, 2629, 585, 2870, 1018, 649, 1289, 3039, 1870, 269, 2913, 781, 4685, 883, 1620, 891, 2474, 1732, 543, 1294, 875, 789, 2097, 9800, 998, 1483, 3734, 1806, 780, 5331, 2348, 707, 5172, 4672, 8645, 6300, 849, 1416, 827, 4227, 3653, 543, 1210, 10357, 7888, 5820, 1107, 602, 1131, 581, 15813, 256, 1280, 713, 547, 4755, 267, 1585, 1004, 991, 547, 960, 1927, 2509, 513, 1455, 3804, 269, 1452, 2043, 543, 3906, 616, 1634, 607, 1412, 560, 820, 6868, 9538, 1358, 1522, 1331, 519, 4672, 8645, 6300, 5411, 267, 5520, 267, 5561, 899, 596, 267, 14273, 540, 5820, 267, 2199, 2146, 2818, 267, 2825, 15628, 267, 543, 1256, 2229, 8387, 269, 1635, 8362, 5473, 543, 23712, 609, 782, 891, 8639, 267, 3025, 2640, 1247, 7700, 9797, 547, 519, 4541, 780, 1805, 820, 14516, 6278, 1797, 8744, 891, 3309, 9739, 1927, 543, 1818, 2386, 789, 723, 3160, 3255, 547, 2671, 4555, 267, 4145, 267, 543, 10372, 269, 1879, 2944, 1318, 267, 621, 5932, 3972, 1851, 3025, 3238, 543, 2337, 1628, 2178, 3347, 269, 5994, 952, 519, 4672, 8645, 6300, 18799, 2621, 6998, 585, 6075, 5955, 593, 1007, 4264, 10366, 610, 24574, 1229, 609, 3506, 547, 4001, 3214, 827, 9657, 269, 2334, 781, 4010, 1018, 649, 1611, 950, 649, 2911, 827, 30393, 6278, 2439, 8512, 2996, 4721, 1491, 1919, 835, 1900, 2417, 269, 4495, 8639, 1174, 1142, 824, 781, 5380, 267, 789, 1106, 12352, 547, 3035, 3838, 6859, 811, 3927, 269, 4635, 519, 1482, 1383, 267, 4952, 519, 4672, 8645, 6300, 2319, 532, 909, 609, 513, 18758, 3919, 5059, 593, 556, 16396, 269, 11426, 619, 1223, 7119, 538, 2508, 24597, 11044, 547, 2030, 4054, 1169, 942, 789, 4444, 513, 1085, 17274, 540, 4672, 8645, 269, 1215, 3579, 568, 602, 2496, 3086, 1577, 781, 1921, 713, 2856, 1394, 547, 519, 2518, 3942, 269, 1411, 949, 11291, 6217, 827, 1271, 3486, 11401, 7234, 2081, 2477, 666, 960, 1927, 547, 2232, 2916, 1689, 269, 2290, 971, 5870, 729, 519, 6820, 11683, 20492, 543, 853, 820, 6868, 17072, 630, 14875, 14899, 293, 1040, 4438, 713, 2680, 267, 13222, 689, 1082, 15211, 540, 1272, 10356, 547, 1865, 519, 1909, 540, 4213, 538, 5885, 4264, 1646, 3853, 9789, 572, 616, 9072, 1305, 676, 519, 2136, 8315, 547, 2087, 1514, 267, 2804, 267, 543, 2825, 2175, 5001, 780, 9617, 899, 519, 4672, 8645, 6300, 2324, 7258, 922, 8639, 267, 6608, 543, 3549, 1590, 849, 6443, 4229, 547, 10994, 1804, 8397, 2591, 7133, 721, 782, 269, 1635, 9256, 2200, 267, 6791, 267, 543, 6612, 267, 972, 781, 1100, 3970, 547, 1018, 649, 666, 9585, 1927, 269, 1924, 1985, 942, 596, 2972, 930, 8949, 4672, 8645, 1500, 30396, 267, 3314, 602, 621, 781, 2009, 1317, 540, 7722, 8639, 8108, 3532, 12352, 269, 8625, 267, 649, 666, 1118, 519, 1158, 513, 22928, 543, 1732, 1747, 585, 5481, 547, 2097, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 291, 2905, 1867, 585, 476, 2641, 1700, 2420, 2904, 476, 1001, 277, 454, 763, 31303, 8400, 540, 519, 6820, 11683, 20492, 543, 853, 820, 6868, 17072, 630, 14875, 14899, 293, 268, 1626, 264, 7036, 539, 689, 476, 2641, 268, 2420, 2904, 476, 1001, 277, 267, 693, 519, 6167, 5113, 19510, 630, 7419, 7968, 264, 22071, 538, 715, 23879, 6798, 267, 15057, 269, 634, 17072, 3576, 1747, 6619, 540, 519, 2034, 8400, 540, 519, 2136, 8315, 5113, 13909, 540, 519, 6167, 7968, 630, 7419, 12788, 268, 273, 1070, 2921, 1747, 689, 476, 2537, 268, 2767, 2904, 476, 1001, 277, 267, 896, 519, 936, 31186, 6249, 540, 2048, 22013, 1853, 532, 593, 519, 7025, 17435, 3290, 540, 519, 476, 10711, 271, 3397, 12629, 585, 12655, 4886, 10200, 15907, 476, 1220, 5171, 8204, 782, 8370, 11683, 20492, 543, 853, 820, 6868, 630, 300, 294, 261, 306, 264, 543, 519, 3670, 6167, 7968, 4525, 15548, 693, 519, 5717, 267, 799, 941, 6896, 676, 519, 11683, 20492, 11120, 22626, 9730, 267, 609, 519, 1489, 540, 519, 6167, 7968, 10555, 30353, 563, 8722, 520, 1005, 519, 1289, 547, 2048, 14813, 26475, 256, 11627, 622, 256, 6258, 256, 3213, 15453, 256, 3213, 641, 4733, 256, 3955, 716, 256, 1230, 1597, 324, 256, 16510, 256, 16224, 10648, 14899, 293, 268, 1626, 6322, 547, 20834, 1125, 631, 294, 261, 306, 547, 4497, 538, 513, 3818, 3613, 820, 6868, 4259, 538, 1931, 547, 1451, 689, 1142, 824, 267, 1020, 12352, 543, 1711, 741, 3403, 883, 6167, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 29642, 1299, 18598, 1315, 5682, 6355, 1315, 853, 820, 14516, 22580, 543, 16890, 4721, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 3848, 476, 280, 281, 13474, 5525, 910, 4197, 2349, 9233, 607, 513, 32001, 883, 27639, 692, 5970, 596, 2479, 4862, 540, 21075, 286, 589, 5816, 630, 26211, 585, 1357, 8421, 264, 568, 899, 606, 2228, 4760, 1141, 1004, 2671, 741, 4555, 267, 8369, 267, 543, 2833, 827, 1585, 3584, 269, 6884, 267, 789, 666, 2285, 721, 2189, 4030, 883, 1114, 2477, 543, 4529, 1472, 519, 1158, 269, 1635, 2542, 1018, 17137, 2328, 827, 741, 1378, 2197, 267, 649, 666, 1451, 865, 1454, 811, 982, 1175, 10923 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3309, 7574, 6163, 1522, 6536, 5042, 8112, 543, 5876, 1247, 5009, 3444, 14426, 1620, 269, 1879, 2324, 609, 1453, 945, 4865, 3908, 1072, 7207, 267, 971, 607, 1346, 8995, 609, 10295, 8552, 4524, 267, 7214, 9124, 267, 610, 10444, 23043, 267, 2575, 16293, 1419, 2308, 13261, 2994, 3358, 547, 2743, 1142, 1126, 781, 2189, 2115, 269, 6270, 16419, 7459, 2832, 547, 2087, 2792, 5759, 267, 1514, 5872, 1983, 267, 1582, 30625, 19206, 267, 543, 2949, 2298, 540, 1272, 780, 5194, 9621, 3498, 540, 2575, 3797, 6013, 538, 5466, 2790, 1072, 4145, 2066, 519, 14438, 269, 5525, 5815, 602, 3742, 6278, 609, 2575, 1107, 2436, 998, 4730, 7405, 267, 21882, 267, 27906, 2358, 267, 610, 3274, 13465, 2059, 1107, 666, 2569, 2589, 2404, 609, 4160, 267, 4965, 267, 2022, 10177, 9964, 2566, 4524, 630, 303, 15056, 1070, 17299, 4524, 267, 543, 18624, 269, 1635, 5807, 513, 2631, 540, 8116, 267, 17117, 267, 543, 3860, 4082, 267, 2575, 3797, 3091, 2043, 3255, 547, 11349, 6043, 267, 1628, 12003, 2200, 267, 543, 3986, 2949, 8171, 269, 5015, 267, 1895, 2575, 3797, 7886, 1683, 2922, 5624, 585, 5171, 547, 2259, 1514, 1983, 267, 1106, 11215, 4296, 267, 543, 2671, 6209, 2833, 780, 1103, 1840, 547, 922, 5626, 2640, 267, 2575, 3797, 849, 6585, 9153, 585, 5355, 2168, 1072, 4093, 269, 10765, 2963, 5267, 602, 15222, 1242, 3350, 547, 24754, 3270, 1107, 1634, 607, 24754, 1303, 1778, 618, 6304, 630, 3918, 296, 264, 1107, 666, 948, 13468, 2589, 1644, 547, 14715, 2175, 971, 607, 19576, 781, 2068, 267, 8482, 6051, 267, 15779, 2634, 5945, 267, 543, 5312, 1928, 2359, 269, 3414, 7368, 4598, 547, 1558, 1258, 727, 6438, 20054, 267, 11555, 296, 6663, 547, 7794, 8849, 11444, 3743, 585, 27510, 17319, 5322, 267, 7551, 4227, 32376, 18063, 267, 12152, 832, 267, 543, 824, 5179, 22907, 1455, 538, 891, 5095, 269, 2859, 17618, 267, 11555, 296, 949, 2709, 1875, 874, 29108, 11043, 8925, 585, 5883, 2566, 267, 15725, 8238, 5669, 8401, 1062, 2534, 267, 543, 5885, 2489, 1072, 543, 9716, 780, 2026, 938, 1620, 540, 519, 5817, 6127, 6117, 2575, 781, 2360, 593, 7553, 267, 17133, 267, 543, 2623, 3136, 547, 4228, 267, 865, 1932, 1281, 519, 1761, 585, 5499, 3156, 1369, 21911, 543, 3564, 269, 8892, 8846, 538, 713, 2361, 1223, 4125, 10128, 2029, 2861, 2645, 630, 324, 3052, 1421, 5985, 8924, 267, 5691, 4641, 5867, 264, 547, 5838, 3015, 543, 1942, 15807, 7459, 13389, 3309, 4791, 14245, 269, 3958, 267, 5571, 1382, 3646, 1058, 3343, 547, 3715, 10686, 1227, 6462, 4808, 585, 1655, 2853, 267, 2866, 4441, 267, 543, 6364, 6268, 3800, 1369, 2575, 3797, 543, 11555, 296, 780, 1103, 3932, 267, 2575, 3797, 543, 24754, 1303, 1778, 618, 6304, 2099, 3532, 2645, 5827, 540, 5466, 15491, 2591, 5185, 676, 2043, 733, 2056, 609, 11095, 267, 2790, 1072, 267, 543, 14715, 2152, 269, 14301, 2390, 3638, 3140, 5389, 543, 5483, 676, 5969, 12967, 3621, 8906, 267, 891, 6575, 2861, 4485, 3180, 10373, 1761, 585, 5807, 11455, 8171, 2066, 519, 14438, 269, 1306, 971, 267, 4797, 5092, 538, 1382, 267, 2069, 267, 543, 23425, 7341, 3788, 2629, 585, 4180, 12581, 1569, 547, 1164, 7779, 1416, 12082, 538, 519, 13710, 1379, 540, 2575, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 24523, 3797, 269, 634, 4276, 1063, 2575, 543, 4664, 267, 2059, 609, 519, 2575, 779, 2702, 547, 3310, 2168, 543, 2618, 673, 1072, 267, 729, 8068, 1082, 7366, 1296, 3516, 269, 19456, 23768, 267, 18573, 267, 543, 17127, 5206, 827, 2575, 779, 3310, 593, 1072, 543, 2623, 267, 543, 705, 13092, 11031, 538, 519, 2898, 1158, 1031, 2575, 607, 851, 540, 741, 1072, 1148, 563, 24523, 3797, 568, 606, 2500, 2596, 1505, 538, 14317, 543, 15494, 960, 609, 2550, 540, 1022, 2085, 543, 1022, 3676, 267, 1519, 1453, 609, 9124, 543, 3908, 1072, 7207, 630, 4134, 7451, 540, 26144, 4715, 518, 267, 11095, 17799, 267, 2790, 17799, 267, 1126, 19548, 25097, 344, 267, 13560, 6794, 267, 4713, 540, 6217, 267, 4633, 267, 543, 5075, 1916, 2691, 594, 729, 513, 4819, 267, 1250, 7015, 1131, 1577, 803, 6432, 547, 1126, 5638, 609, 18912, 8941, 543, 1126, 8964, 269, 23016, 547, 873, 267, 594, 1131, 2887, 18069, 610, 1131, 1376, 13465, 10978, 569, 269, 3733, 4651, 729, 513, 15690, 10178, 267, 543, 1434, 2575, 729, 19557, 547, 538, 938, 2777, 269, 14755, 267, 1250, 4651, 5129, 519, 14440, 1134, 269, 29892, 609, 803, 267, 1250, 4651, 1131, 1404, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 13662, 22180, 1315, 31499, 1315, 3203, 1299, 8535, 10657, 1315, 681, 15219, 6193, 9980, 1778, 618, 27800, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 9452, 24692, 568, 513, 2629, 1900, 538, 519, 4670, 14708, 1184, 602, 2636, 19971, 267, 14557, 14670, 20802, 267, 543, 824, 1883, 10986, 547, 14650, 543, 1544, 856, 519, 15833, 543, 9696, 540, 513, 4670, 1354, 4890, 2504, 5956, 269, 1635, 2870, 513, 1650, 4580, 267, 891, 4648, 666, 2327, 602, 789, 7001, 1169, 1271, 4090, 543, 5086, 267, 1247, 849, 3927, 14379, 741, 5075, 547, 519, 1964, 540, 519, 12284, 269, 769, 713, 3184, 267, 649, 786, 5490, 883, 519, 1148, 543, 2257, 540, 1650, 24692, 267, 3695, 922, 1686, 267, 2553, 267, 543, 1655, 2853, 780, 2414, 2253, 267, 1577, 781, 5581, 1018, 513, 1650, 4580, 568, 269, 2311, 922, 4295, 267, 513, 1650, 4580, 568, 513, 3126, 540, 12383, 610, 25780, 602, 6813, 519, 1585, 15833, 543, 10207, 540, 513, 4670, 269, 1452, 12400, 3335, 2408, 538, 5311, 267, 10483, 676, 4967, 267, 8254, 7285, 267, 5188, 267, 543, 824, 4143, 1344, 269, 6056, 540, 873, 607, 513, 13371, 14816, 4528, 540, 513, 7260, 267, 3246, 513, 29685, 585, 875, 519, 3803, 1587, 1058, 1413, 543, 1745, 780, 763, 1523, 540, 1650, 24692, 814, 922, 5072, 538, 14318, 267, 1141, 5159, 1031, 18615, 12400, 547, 840, 6665, 783, 1125, 519, 2962, 543, 12557, 540, 741, 27977, 269, 32240, 18557, 568, 1419, 20295, 609, 2442, 1944, 519, 4480, 538, 519, 476, 4350, 271, 338, 267, 1210, 1650, 15236, 547, 1544, 856, 11599, 8874, 899, 16176, 6519, 543, 519, 18599, 667, 8705, 12028, 630, 4350, 278, 264, 543, 20646, 14901, 630, 3707, 271, 1040, 3683, 942, 267, 2661, 268, 9146, 32349, 3459, 12561, 519, 2259, 607, 1134, 267, 9301, 922, 1871, 538, 12180, 1950, 22534, 543, 25640, 1804, 1212, 9749, 780, 9213, 267, 1650, 24692, 3788, 606, 1898, 5057, 540, 519, 4670, 14708, 1184, 267, 3226, 585, 2462, 1532, 644, 1326, 24299, 269, 8606, 916, 971, 607, 2997, 20345, 630, 1220, 280, 1070, 8496, 7665, 281, 674, 1722, 10003, 630, 1001, 276, 1070, 543, 634, 1234, 1597, 656, 630, 1001, 276, 264, 16941, 8185, 593, 6946, 1650, 15236, 547, 3142, 741, 16529, 22649, 547, 1272, 269, 1717, 267, 1256, 1970, 1532, 644, 1326, 967, 773, 3785, 666, 4324, 689, 6297, 4058, 998, 1650, 24692, 780, 2467, 616, 1896, 4128, 1946, 1650, 24692, 568, 865, 3407, 269, 3689, 543, 19466, 267, 621, 2337, 32349, 14377, 741, 3860, 2093, 883, 6405, 3308, 2474, 269, 1879, 2324, 593, 513, 4670, 267, 972, 616, 9118, 3664, 547, 1118, 3823, 8929, 5888, 267, 8654, 267, 533, 5217, 267, 543, 15364, 269, 11109, 513, 2312, 1650, 4580, 6087, 19971, 543, 14557, 14670, 20802, 547, 4786, 856, 891, 5079, 6619, 540, 942, 267, 4180, 11007, 543, 25843, 2429, 519, 3803, 4062, 780, 12234, 267, 1650, 15236, 4196, 607, 3532, 2792, 2645, 1369, 519, 4670, 2504, 2319, 269, 1358, 5512, 3025, 3238, 1107, 689, 11051, 543, 1305, 9858, 547, 3280, 8030, 543, 15769, 1107, 547, 1174, 519, 8689, 781, 5075, 543, 12840, 811, 3927, 2509, 16734, 621, 269, 901, 568, 2523, 2565, 1282, 3341, 3174, 267, 950, 2200, 949, 581, 3908, 267, 543, 11941, 666, 1869, 581, 1500, 1510, 1651, 584, 2590, 1713, 3790, 610, 17799, 780, 3383, 1631, 602, 649, 917, 1946, 1650, 24692, 6927, 267, 875, 798, 649, 979, 827, 2870, 2500, 3283, 286, 1703, 616, 1100, 2182, 7146, 1922, 770, 3652, 585, 14335, 513, 1650, 4580, 282, 2705, 267, 1978, 3741, 543, 4808, 666, 948, 3391, 519, 1184, 269, 2913, 781, 2263, 930, 1883, 9270, 2630, 1384, 272, 269, 5700, 2659, 10748, 1466, 281, 6969, 4098, 1022, 1650, 4580, 267, 3313, 945, 786, 581, 2542, 621, 543, 20688, 707, 1935, 9935, 269, 4024, 621, 5097, 581, 585, 707, 2123, 946, 267, 610, 786, 596, 2671, 621, 609, 513, 3677, 2319, 286, 5901, 538, 2247, 602, 811, 2143, 1650, 15236, 4043, 547, 581, 1732, 14018, 585, 8273, 24299, 5473, 2789, 13623, 543, 8639, 563, 273, 269, 4643, 589, 3650, 281, 3399, 676, 8840, 1524, 707, 7097, 883, 1367, 10207, 267, 15663, 1883, 3527, 267, 3197, 267, 605, 1186, 267, 543, 6753, 269, 3973, 267, 17250, 11315, 14853, 333, 5661, 540, 1761, 15885, 267, 9878, 2673, 3007, 547, 25194, 267, 8254, 7285, 267, 3350, 267, 543, 13289, 1063, 15833, 269, 5457, 602, 1650, 15236, 1810, 1405, 991, 547, 581, 1568, 540, 1148, 282, 2241, 6529, 5515, 543, 2596, 5546, 666, 3411, 823, 607, 1279, 607, 789, 6655, 519, 2556, 1344, 563, 274, 269, 10312, 593, 10046, 281, 1306, 596, 1711, 707, 1650, 4580, 8440, 267, 1589, 827, 875, 789, 786, 5912, 689, 835, 6429, 547, 519, 1985, 269, 6333, 2188, 899, 6474, 11912, 267, 3444, 12827, 1154, 267, 543, 1395, 5653, 9696, 547, 2226, 513, 5347, 11733, 543, 10605, 2429, 707, 4670, 269, 3958, 267, 1832, 3950, 540, 15364, 2152, 899, 1915, 17568, 267, 20758, 549, 2041, 2242, 267, 543, 2825, 2609, 547, 2327, 15774, 4296, 1063, 15833, 563, 275, 269, 5410, 19672, 281, 4495, 596, 723, 3964, 519, 2949, 2497, 543, 2095, 540, 707, 1650, 4580, 267, 17145, 856, 1142, 8470, 609, 3606, 3877, 971, 607, 5188, 267, 3280, 2360, 267, 543, 7574, 10291, 269, 1411, 1522, 849, 1616, 547, 1331, 4967, 593, 2681, 5493, 22863, 267, 8654, 14565, 267, 543, 2027, 2360, 547, 1683, 2417, 2796, 585, 707, 5075, 269, 2353, 540, 891, 3334, 786, 6038, 3565, 547, 513, 21950, 267, 811, 15138, 13156, 1995, 563, 276, 269, 11622, 622, 1299, 594, 614, 622, 281, 9523, 707, 1650, 4580, 31585, 609, 9164, 267, 23003, 267, 610, 9905, 4171, 8369, 596, 3972, 269, 3752, 7228, 5955, 543, 581, 1930, 547, 1818, 26941, 1759, 593, 741, 3403, 269, 2991, 782, 267, 5698, 568, 693, 519, 2295, 540, 1022, 3811, 4670, 2504, 267, 543, 2502, 538, 16268, 19929, 666, 1152, 3986, 707, 3803, 1587, 563, 277, 269, 22737, 5303, 281, 2755, 2757, 4050, 7146, 1790, 1653, 1650, 24692, 2409, 2611, 2442, 1851, 1082, 32349, 267, 3059, 2645, 2709, 3875, 5383, 538, 2474, 540, 4398, 267, 8112, 267, 543, 5698, 269, 15789, 899, 23489, 9452, 4580, 1160, 267, 31108, 2690, 613, 267, 543, 2289, 328, 984, 5407, 1450, 3755, 547, 1711, 6422, 267, 7317, 1650, 15236, 2347, 609, 1918, 18267, 267, 5163, 12449, 267, 543, 824, 4359, 2934, 269, 15331, 609, 1114, 3301, 3681, 547, 1265, 519, 835, 602, 1655, 17015, 707, 2115, 543, 7375, 780, 1103, 3932, 267, 1650, 24692, 4249, 513, 4105, 1909, 538, 8744, 8874, 689, 17748, 547, 12032, 269, 6787, 596, 2811, 13167, 513, 3625, 321, 13831, 12473, 610, 606, 15982, 1915, 1353, 267, 2921, 519, 942, 547, 1544, 856, 707, 3308, 1893, 998, 1650, 24692, 666, 7494, 2087, 707, 8458, 540, 1967, 269, 1635, 1739, 519, 3741, 13890, 1657, 267, 596, 3513, 581, 1134, 593, 707, 1259, 547, 13215, 713, 1898, 2460, 540, 7900, 6575, 543, 4670, 2504, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 28324, 1485, 476, 273, 4028, 3595, 1863, 454, 5278, 1930, 1532, 2135, 7641, 338, 616, 4421, 968, 553, 568, 267, 9232, 799, 568, 1776, 1259, 540, 6031, 596, 2461, 593, 707, 1378, 952, 1945, 4422, 4636, 269, 13201, 4896, 6836, 713, 610, 2303, 606, 2856, 547, 2628, 1485, 476, 273, 4028, 3595, 1863, 621, 12863, 269, 2904, 519, 30330, 3814, 267 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 268, 1548, 568, 606, 1383, 540, 3961, 8957, 1909, 10539, 888, 268, 1548, 568, 3961, 5288, 1909, 10539, 888, 268, 1548, 616, 519, 476, 275, 5933, 540, 3961, 1646, 888, 268, 1548, 568, 606, 1383, 540, 1909, 10539, 888, 268, 1548, 568, 3961, 4655, 888, 268, 1215, 1281, 3961, 1860, 2790, 1072, 888, 268, 1548, 568, 3961, 2687, 547, 661, 686, 802, 517, 888, 268, 1548, 3123, 3961, 10539, 888, 268, 1548, 616, 519, 476, 276, 5933, 540, 26447, 1646, 888, 268, 1548, 568, 1909, 10539, 538, 15257, 888, 268, 4208, 568, 3961, 865, 1271, 888, 268, 1548, 616, 476, 274, 4162, 540, 9591, 606, 3961, 888, 268, 1548, 616, 519, 476, 278, 5933, 540, 1646, 888, 268, 1548, 2306, 513, 1268, 3961, 888, 268, 1215, 798, 3237, 3310, 707, 3961, 888, 1432, 568, 606, 1383, 540, 3961, 8957, 1909, 10539, 888, 7628, 519, 3942, 540, 3961, 8957, 1909, 10539, 267, 3237, 543, 3610, 7567, 949, 3068, 10708, 945, 616, 11851, 532, 811, 7115, 998, 1219, 5050, 610, 15141, 1190, 3527, 543, 4152, 7182, 543, 6302, 971, 607, 3483, 569, 23630, 1225, 325, 31974, 267, 17528, 547, 2347, 6780, 610, 26050, 267, 610, 19703, 610, 9117, 538, 513, 1259, 513, 2560, 563, 1432, 568, 3961, 5288, 1909, 10539, 888, 763, 14740, 8957, 10020, 10539, 630, 528, 18236, 264, 3942, 568, 6353, 676, 519, 15730, 2243, 540, 968, 8005, 993, 594, 2223, 1282, 799, 942, 789, 616, 3475, 1540, 609, 19421, 540, 2418, 543, 2093, 540, 945, 789, 1058, 581, 543, 1018, 789, 1058, 1589, 269, 2560, 3212, 619, 1683, 3354, 543, 1909, 3631, 563, 1432, 616, 519, 476, 275, 5933, 540, 3961, 1646, 888, 763, 2185, 3961, 4567, 525, 646, 13747, 941, 281, 2062, 26918, 267, 3961, 18236, 267, 2849, 1807, 1756, 267, 543, 3961, 9740, 563, 1432, 568, 606, 1383, 540, 1909, 10539, 888, 293, 19691, 547, 3715, 513, 2631, 540, 3961, 1369, 2486, 12462, 296, 1810, 1406, 917, 1018, 594, 1616, 547, 581, 950, 594, 1332, 909, 14615, 666, 1291, 547, 1909, 10539, 269, 10020, 10539, 3322, 519, 1367, 711, 1373, 2386, 827, 2933, 610, 741, 1747, 538, 2486, 563, 1432, 568, 3961, 4655, 888, 2690, 606, 968, 1211, 640, 892, 610, 954, 31228, 4655, 547, 2049, 267, 519, 17837, 1590, 3651, 606, 3961, 547, 2933, 543, 741, 10779, 2456, 267, 1142, 2427, 18468, 519, 4339, 568, 1063, 968, 639, 892, 543, 968, 29442, 1848, 4762, 26555, 1141, 519, 21087, 1235, 3100, 547, 581, 8165, 827, 741, 9163, 616, 1572, 3961, 2861, 7526, 610, 954, 31228, 7526, 6693, 1692, 1281, 3961, 1860, 2790, 1072, 888, 29753, 606, 3961, 610, 2631, 540, 1582, 543, 1346, 7592, 513, 1268, 13821, 547, 723, 666, 1491, 942, 543, 949, 581, 4101, 269, 3502, 2348, 513, 2178, 2631, 540, 1582, 610, 10010, 609, 3961, 2152, 949, 1291, 547, 4160, 543, 22584, 563, 1432, 568, 3961, 2687, 547, 661, 686, 802, 517, 888, 292, 686, 802, 517, 4330, 3961, 607, 968, 320, 16148, 2631, 607, 1134, 607, 606, 28507, 2298, 540, 2123, 7663, 8864, 543, 15364, 267, 19610, 609, 930, 3661, 538, 519, 7663, 8864, 543, 15364, 540, 930, 3838, 1158, 3239, 563, 1432, 3123, 3961, 10539, 888, 2252, 596, 2461, 7680, 606, 3961, 6433, 267, 596, 949, 581, 15819, 707, 2631, 540, 1582, 610, 3961, 269, 901, 666, 1419, 2049, 1813, 547, 2462, 2242, 610, 21500, 538, 1272, 267, 610, 1813, 547, 2188, 971, 607, 2085, 610, 13120, 689, 513, 1978, 3942, 630, 1721, 1383, 267, 1153, 267, 960, 267, 610, 6689, 1916, 1432, 616, 519, 476, 276, 5933, 540, 26447, 1646, 888, 26466, 644, 6069, 602, 7209, 1646, 538, 6689, 3217, 1747, 1282, 2947, 2618, 18400, 5933, 267, 799, 616, 519, 5711, 267, 1387, 267, 943, 28351, 267, 26125, 267, 543, 19058, 5933, 563, 1432, 568, 1909, 10539, 538, 15257, 888, 305, 1961, 10539, 568, 513, 3510, 1141, 606, 1367, 814, 8373, 8159, 799, 1909, 646, 24172, 1058, 8263, 563, 3963, 568, 3961, 865, 1271, 888, 2171, 782, 723, 513, 1978, 3239, 540, 6000, 1107, 4978, 827, 519, 2186, 540, 1268, 649, 616, 269, 11109, 513, 2178, 2631, 540, 3961, 4667, 547, 581, 14909, 267, 1945, 602, 6770, 4313, 543, 3354, 1547, 2560, 14740, 849, 2337, 721, 547, 1118, 3664, 543, 547, 917, 875, 547, 13789, 269, 1284, 2461, 7683, 5185, 609, 1950, 3664, 543, 6381, 563, 1432, 616, 476, 274, 4162, 540, 9591, 606, 3961, 888, 1432, 616, 1614, 4162, 540, 9591, 606, 3961, 286, 20223, 13951, 1369, 519, 1158, 267, 4743, 513, 2631, 540, 10362, 267, 543, 4743, 2189, 563, 1432, 616, 519, 476, 278, 5933, 540, 1646, 888, 29619, 269, 25111, 476, 272, 281, 11565, 5288, 269, 27190, 6412, 269, 25111, 476, 273, 281, 4201, 16860, 5288, 269, 1744, 877, 543, 8935, 23336, 269, 25111, 476, 274, 281, 19541, 5288, 269, 2871, 2830, 269, 25111, 476, 275, 281, 12752, 5288, 269, 769, 2536, 1640, 640, 269, 25111, 476, 276, 281, 14740, 5288, 269, 4762, 4288, 269, 25111, 476, 277, 281, 2271, 22715, 5288, 269, 1772, 15684, 269, 25111, 476, 278, 281, 9198, 18356, 5288, 269, 853, 1725, 566, 21457, 3688, 7498, 1432, 2306, 513, 1268, 3961, 888, 15275, 640, 568, 519, 7907, 267, 4978, 267, 7209, 267, 5654, 543, 5924, 7215, 602, 1118, 513, 1268, 630, 1345, 268, 1211, 640, 607, 15091, 538, 6530, 264, 610, 1895, 630, 3712, 29193, 3961, 607, 840, 15041, 5799, 538, 15257, 1040, 2560, 589, 5626, 3961, 12211, 547, 1582, 268, 13548, 630, 821, 779, 2790, 2203, 540, 13951, 1070, 1582, 12635, 267, 543, 23141, 563, 1692, 798, 3237, 3310, 707, 3961, 888, 14399, 4585, 741, 3237, 2170, 609, 1866, 267, 1118, 5079, 543, 3313, 1318, 543, 4636, 585, 2933, 267, 543, 713, 5222, 875, 789, 1020, 741, 5837, 1582, 269, 7731, 4205, 666, 1628, 909, 610, 2736, 1524, 606, 1367, 779, 1582, 21873, 269, 2560, 7731, 1272, 849, 7506, 17163, 3961, 543, 4876, 5079, 269, 0, 628, 902, 281, 621, 11225, 513, 5075, 585, 519, 2104, 282, 621, 14592, 14422, 543, 519, 4397, 5107, 540, 1114, 2516, 282, 543, 621, 13976, 13618, 543, 28279, 1004, 269, 1703, 616, 1082, 6688, 540, 1072, 4507, 267, 1519, 2518, 1072, 3609, 267, 1857, 1072, 3609, 267, 2790, 1072, 3609, 267, 1072, 1416, 2533, 3609, 267, 6142, 3609, 267, 2123, 3782, 3609, 267, 14453, 3609, 267, 543, 4507, 1644, 547, 1857, 1072, 971, 607, 12674, 3609, 267, 10269, 1852, 3609, 610, 20418, 13319, 3609, 269, 1358, 949, 3382, 3584, 540, 14104, 543, 6765, 540, 3782, 267, 1569, 547, 1416, 267, 2298, 540, 1416, 267, 543, 1072, 9698, 269, 9041, 2657, 5829, 3609, 543, 922, 6388, 568, 1950, 269, 10417, 783, 3631, 666, 948, 1397, 519, 2095, 689, 1072, 5829, 3609, 1646, 547, 1072, 5829, 3609, 543, 1982, 6388, 543, 547, 1072, 1949, 543, 1072, 4093, 269, 8889, 1058, 581, 6956, 607, 811, 982, 513, 3084, 1876, 610, 1072, 3609, 602, 7028, 513, 1982, 610, 6304, 269, 7358, 1049, 4507, 616, 519, 3652, 267, 6042, 267, 4808, 267, 543, 11889, 8155, 602, 6608, 946, 547, 14377, 3084, 4031, 543, 4507, 883, 3292, 543, 2533, 269, 634, 3609, 1184, 13315, 3664, 1500, 693, 513, 3084, 610, 18228, 1377, 630, 10175, 7616, 3664, 264, 602, 1860, 2436, 543, 875, 2533, 616, 9447, 269, 4935, 267, 3007, 1590, 581, 6976, 547, 4507, 693, 2789, 2157, 540, 519, 1072, 1062, 543, 936, 942, 547, 2327, 4264, 4336, 5346, 269, 589, 11215, 3609, 1604, 786, 7520, 519, 4336, 5346, 540, 1072, 6304, 269, 9041, 634, 2413, 1523, 540, 3782, 3322, 1569, 547, 2564, 4648, 689, 1585, 4610, 607, 1134, 607, 2564, 2029, 267, 971, 607, 6527, 543, 10551, 3937, 269, 898, 849, 3322, 1569, 547, 519, 5767, 1344, 543, 2963, 689, 1382, 267, 1519, 2564, 1382, 543, 1072, 2533, 1382, 269, 9041, 769, 1082, 2477, 621, 568, 2451, 547, 519, 1367, 547, 2744, 1569, 547, 3782, 5370, 543, 2533, 676, 9878, 585, 873, 2047, 607, 856, 6361, 1790, 12714, 9276, 267, 543, 547, 4357, 5823, 5716, 538, 519, 2564, 543, 14453, 6080, 547, 1020, 1382, 269, 12020, 543, 2504, 540, 1072, 1480, 2200, 568, 7856, 1851, 4074, 2344, 5171, 269, 9041, 4033, 2477, 723, 606, 8763, 3609, 547, 2327, 543, 1489, 1569, 585, 782, 540, 922, 4961, 267, 547, 2508, 1072, 1382, 267, 543, 547, 1544, 585, 7850, 2338, 267, 3892, 543, 2298, 540, 1072, 4600, 547, 2743, 3782, 3853, 269, 3509, 6608, 1472, 519, 1158, 723, 3964, 8471, 1072, 1416, 267, 799, 3217, 519, 11411, 540, 3782, 9276, 1055, 540, 4357, 4213, 610, 2043, 998, 7535, 532, 540, 2883, 1981, 269, 1703, 616, 513, 3099, 540, 7440, 585, 543, 1996, 8471, 3782, 543, 1644, 1072, 4507, 269, 16195, 568, 606, 1271, 851, 540, 1072, 1949, 543, 4061, 621, 1419, 6589, 585, 835, 540, 519, 4102, 2127, 540, 7836, 585, 1312, 6608, 543, 2043, 782, 936, 519, 1158, 269, 476, 272, 269, 272, 10812, 4485, 547, 3782, 3609, 5250, 538, 606, 3486, 2796, 9041, 2657, 4507, 616, 4646, 998, 519, 1950, 954, 3146, 331, 725, 1222, 540, 2796, 267, 1184, 543, 11051, 269, 32240, 543, 18582, 5459, 630, 1001, 271, 538, 645, 2224, 1696, 620, 267, 476, 1001, 276, 264, 723, 6069, 519, 1072, 3609, 6906, 607, 513, 1259, 540, 18928, 3206, 827, 782, 519, 1114, 2188, 602, 949, 1860, 3609, 630, 8201, 476, 272, 1040, 7612, 476, 272, 281, 634, 2657, 8889, 21121, 11905, 32240, 543, 717, 12291, 267, 476, 1960, 275, 630, 514, 645, 2224, 1696, 620, 267, 476, 1220, 276, 264, 2920, 832, 3277, 547, 2043, 267, 3906, 610, 519, 1533, 267, 543, 741, 3527, 602, 1860, 1072, 3609, 269, 2353, 11051, 723, 741, 1378, 4690, 543, 989, 31789, 269, 6201, 540, 11051, 1331, 2043, 267, 3486, 27013, 267, 3084, 27013, 267, 2604, 270, 15517, 2516, 267, 3486, 3906, 267, 24845, 8041, 267, 7616, 3906, 267, 4357, 5823, 3549, 267, 543, 519, 2923, 269, 12745, 1797, 9836, 2188, 1107, 2797, 267, 2804, 267, 1514, 610, 2686, 267, 1312, 3084, 543, 3486, 1107, 799, 949, 723, 606, 1198, 540, 1072, 3609, 269, 1452, 1331, 281, 9041, 32163, 1049, 2188, 268, 23644, 267, 6650, 2006, 550, 2175, 799, 666, 723, 606, 1764, 593, 3609, 630, 324, 3052, 269, 10617, 267, 26221, 264, 9041, 23305, 2188, 268, 5266, 17946, 4474, 2609, 540, 2486, 630, 324, 3052, 269, 519, 2797, 1062, 267, 1826, 540, 4346, 267, 15295, 2934, 264, 9041, 8836, 2188, 268, 4984, 267, 14940, 267, 4008, 4139, 610, 608, 18100, 2188, 268, 930, 4507, 2154, 9316, 1063, 3084, 267, 6237, 610, 1617, 10561, 3906, 12474, 568, 519, 6219, 540, 513, 1880, 3609, 799, 3877, 519, 5396, 543, 3584, 4988, 269, 6713, 568, 519, 1259, 538, 799, 4507, 616, 15748, 267, 2919, 610, 19775, 267, 7858, 7007, 267, 28078, 267, 8045, 543, 11117, 269, 8889, 5250, 8813, 883, 519, 1184, 7944, 540, 519, 5943, 1657, 543, 568, 6766, 676, 11051, 267, 1543, 267, 543, 2796, 269, 6884, 519, 1184, 568, 7787, 1107, 18928, 20604, 519, 5294, 543, 931, 540, 1585, 8925, 282, 543, 3006, 519, 1184, 568, 31278, 1107, 606, 27952, 3375, 1818, 1184, 630, 289, 2224, 1696, 620, 1421, 476, 1001, 275, 264, 1733, 12241, 621, 666, 581, 5363, 547, 2708, 3609, 5250, 607, 513, 7787, 267, 588, 3042, 1184, 630, 2889, 12378, 8446, 267, 4553, 676, 3609, 19862, 267, 6388, 543, 6268, 1070, 538, 2259, 891, 5933, 10355, 1246, 538, 513, 5276, 6752, 269, 630, 298, 520, 1731, 597, 1042, 328, 1696, 620, 267, 476, 1001, 275, 282, 645, 2224, 1696, 620, 267, 476, 1220, 276, 264, 1496, 17004, 1447, 2639, 3963, 4518, 609, 2974, 454, 12749, 10866, 543, 4270, 268, 4910, 792, 3481, 14430, 454, 2171, 2141, 1118, 2386, 602, 5830, 1246, 782, 707, 5528, 10502, 269, 1411, 666, 3442, 707, 4081, 1377, 281, 1164, 1153, 267, 2852, 270, 684, 1751, 610, 3318, 267, 543, 649, 786, 3651, 513, 5856, 945, 814, 513, 9757, 4110, 563, 32153, 543, 5438, 27624, 14288, 19536, 454, 2171, 723, 513, 2319, 540, 3318, 5830, 609, 1995, 538, 4081, 543, 1870, 1603, 269, 3509, 616, 5065, 10529, 543, 2111, 547, 1685, 1022, 4305, 585, 799, 596, 991, 948, 563, 10403, 1133, 15905, 4860, 2888, 454, 2252, 596, 1589, 649, 14406, 1945, 267, 6494, 707, 1931, 585, 513, 1863, 14469, 269, 1411, 723, 476, 1015, 2395, 547, 10505, 519, 1931, 585, 2689, 1310, 596, 723, 4607, 519, 3803, 3561, 269, 1411, 666, 798, 713, 3054, 1310, 19883, 883, 707, 2123, 2272, 610, 676 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2304, 1439, 540, 1032, 2534, 256, 901, 7084, 547, 2285, 607, 606, 1439, 540, 519, 1032, 3803, 1788, 786, 948, 1053, 1451, 547, 2328, 513, 4633, 267, 1459, 621, 547, 606, 5304, 267, 543, 1832, 1053, 7722, 538, 741, 1565, 269, 4841, 786, 1459, 513, 476, 274, 910, 476, 276, 8792, 4633, 10452, 593, 519, 1004, 543, 2833, 602, 1500, 713, 1032, 12300, 269, 476, 274, 1535, 476, 276, 6486, 2838, 267, 543, 3308, 11226, 616, 9244, 5227, 269, 901, 568, 4712, 1500, 585, 596, 547, 1688, 856, 547, 707, 3214, 269, 32087, 568, 519, 7792, 7084, 6656, 609, 13057, 2055, 267, 4170, 267, 543, 513, 21249, 19875, 269, 4841, 786, 2731, 2972, 10213, 741, 2984, 267, 543, 713, 786, 1118, 513, 12300, 543, 1187, 2534, 585, 519, 2063, 3018, 540, 1153, 563, 2791, 949, 849, 899, 912, 293, 12767, 16594, 19809, 11819, 16214, 16847, 454, 17484, 540, 519, 5729, 6153, 1532, 6614, 21998, 454, 14276, 24935, 17948, 454, 17484, 540, 519, 5729, 12143, 32386, 454, 29557, 3427, 7335, 700, 1235, 585, 24110, 476, 277, 268, 279, 454, 11764, 1067, 7335, 5903, 24110, 476, 278, 910, 476, 279, 454, 15100, 8414, 292, 706, 326, 1807, 269, 1280, 4928, 543, 18954, 946, 269, 0, 1789, 267, 4352, 519, 3169, 2014, 540, 1034, 2790, 10108, 568, 711, 1634, 267, 621, 568, 4742, 2312, 998, 1382, 602, 1082, 540, 891, 2175, 616, 3361, 676, 513, 4999, 540, 6211, 267, 5626, 267, 543, 2825, 2188, 4352, 519, 3169, 2014, 540, 1034, 2790, 10108, 568, 711, 1634, 267, 621, 568, 4742, 2312, 998, 1382, 602, 1082, 540, 891, 2175, 616, 3361, 676, 513, 4999, 540, 4719, 267, 6211, 267, 5626, 267, 543, 2825, 2188, 711, 2123, 8467, 610, 513, 1915, 8919, 543, 6051, 689, 513, 2790, 4576, 568, 711, 855, 1362, 4328, 2790, 4576, 568, 513, 811, 16148, 20089, 269, 9504, 530, 5942, 3123, 15058, 318, 11365, 318, 4134, 7451, 29250, 286, 1627, 1357, 322, 5995, 269, 10076, 1072, 2042, 3123, 543, 1198, 5864, 328, 3084, 19710, 593, 2790, 4576, 269, 2782, 940, 4191, 540, 2790, 4576, 7819, 17867, 7681, 269, 2052, 6710, 1291, 547, 2790, 4576, 286, 3619, 1846, 543, 14614, 562, 1440, 342, 1580, 476, 2412, 260, 811, 2693, 982, 2367, 1020, 4576, 267, 1353, 1034, 1004, 2982, 269, 10076, 4713, 7141, 2790, 1072, 269, 10076, 4576, 1451, 519, 4214, 267, 4255, 543, 7194, 3053, 514, 523, 564, 269, 476, 2190, 267, 1265, 856, 1946, 835, 1353, 2982, 649, 12582, 1405, 588, 25634, 1125, 2790, 4576, 1317, 1034, 1004, 616, 2693, 547, 1020, 835, 476, 2764, 267, 2790, 4576, 568, 7361, 3361, 676, 1514, 16839, 971, 607, 6127, 610, 1514, 6381, 676, 799, 891, 2042, 1020, 269, 4208, 2790, 1072, 4713, 10836, 538, 707, 2038, 476, 736, 338, 13030, 269, 5616, 12528, 20880, 3406, 269, 1306, 3989, 676, 4966, 609, 513, 24118, 4282, 267, 2790, 4524, 568, 1412, 320, 24802, 15779, 2634, 5945, 2333, 519, 1981, 540, 3384, 1978, 4713, 269, 15486, 540, 2790, 4576, 1357, 30113, 269, 24635, 2790, 4576, 6140, 3361, 676, 1272, 2621, 711, 11976, 267, 8044, 269, 1548, 568, 2790, 4576, 1018, 616, 519, 4191, 1072, 5643, 545, 659, 13415, 540, 4713, 28957, 269, 2986, 1453, 781, 12058, 1020, 267, 649, 616, 1565, 811, 827, 519, 2038, 5933, 513, 476, 274, 568, 5920, 2790, 4576, 538, 1762, 1004, 2339, 10416, 267, 596, 2811, 711, 2469, 547, 1020, 606, 4160, 4524, 607, 2937, 269, 15486, 540, 5626, 4713, 26595, 585, 8289, 269, 634, 5072, 540, 2790, 4576, 7819, 5626, 7681, 269, 1703, 723, 1044, 930, 17895, 894, 22522, 6402, 1336, 547, 1978, 2790, 1072, 4713, 2049, 538, 513, 3099, 540, 3029, 267, 543, 2589, 666, 945, 1920, 1686, 581, 811, 12155, 3384, 3007, 17211, 30759, 4524, 630, 611, 24863, 264, 568, 11095, 1141, 972, 616, 1713, 2042, 609, 3007, 267, 610, 9117, 791, 6160, 1947, 952, 2825, 1981, 2188, 585, 1496, 11365, 4576, 316, 24019, 1034, 2010, 8194, 267, 649, 1294, 602, 13977, 15823, 2600, 2043, 1020, 533, 1206, 323, 6148, 3744, 786, 15768, 12214, 4255, 10108, 519, 2104, 282, 19402, 1287, 267, 2705, 267, 4648, 13209, 7194, 31417, 267, 476, 272, 476, 276, 1762, 1004, 7985, 689, 4576, 267, 602, 781, 2038, 18063, 8912, 2634, 1646, 5626, 1696, 328, 3098, 7361, 3818, 27353, 267, 5473, 4713, 267, 855, 741, 3448, 7418, 4576, 3648, 2333, 5506, 4965, 2663, 1272, 18624, 5312, 4049, 5540, 875, 1268, 621, 711, 2943, 2009, 946, 4719, 1344, 3589, 1382, 2982, 3368, 782, 10715, 2665, 2253, 676, 2085, 476, 1691, 269, 476, 274, 267, 952, 596, 7985, 513, 2212, 8194, 267, 707, 1981, 540, 3384, 1978, 2790, 4713, 4679, 3648, 538, 930, 2665, 676, 811, 982, 476, 6110, 2600, 267, 543, 1981, 585, 1455, 2790, 4713, 269, 1548, 3123, 2790, 4576, 286, 9650, 3772, 269, 10076, 4576, 3123, 949, 334, 16758, 454, 1993, 2790, 1357, 30113, 1072, 29250, 286, 1627, 1357, 322, 5995, 269, 715, 574, 327, 18624, 3084, 20576, 540, 2790, 1072, 562, 8811, 269, 15742, 6090, 2333, 707, 1981, 540, 3384, 1451, 827, 519, 2038, 9963, 4191, 2790, 4576, 267, 2589, 267, 543, 875, 547, 1491, 1565, 610, 4191, 267, 2921, 630, 6798, 1670, 2188, 264, 1142, 1367, 781, 1378, 4719, 1118, 909, 666, 3565, 1373, 693, 513, 4576, 911, 30864, 2634, 630, 16129, 1106, 5431, 1018, 568, 1072, 4387, 3318, 267, 1865, 891, 5615, 1020, 4640, 3123, 4713, 28957, 679, 269, 1411, 2811, 476, 1691, 267, 1007, 1382, 5267, 602, 5176, 3025, 786, 1020, 513, 5626, 4524, 693, 930, 1448, 538, 741, 1272, 855, 585, 1034, 267, 621, 781, 10151, 6689, 4713, 267, 1419, 13042, 607, 11095, 4713, 610, 1565, 1034, 2049, 543, 616, 8995, 950, 519, 1126, 568, 540, 1153, 2085, 6609, 2165, 1412, 16467, 11365, 4524, 262, 9659, 262, 1797, 4049, 267, 5312, 9659, 606, 1367, 269, 7025, 4296, 513, 4514, 1413, 883, 2790, 4576, 269, 4208, 798, 3075, 946, 4713, 1419, 1071, 2049, 609, 824, 2790, 10108, 286, 1547, 6176, 827, 2790, 4576, 543, 519, 2634, 562, 8811, 6437, 562, 322, 6798, 269, 10076, 4576, 568, 2484, 811, 1455, 982, 649, 6785, 3621, 11095, 4713, 2618, 3844, 5287, 15326, 737, 686, 1122, 518, 20576, 269, 3143, 1973, 1449, 6818, 585, 4965, 282, 1535, 18422, 666, 2697, 513, 1126, 693, 1981, 540, 3384, 17299, 476, 1724, 267, 2790, 4576, 568, 811, 1455, 538, 1004, 4171, 14077, 849, 723, 269, 901, 1957, 8039, 519, 2963, 689, 3384, 2477, 543, 7710, 3157, 602, 2491, 6710, 1981, 1317, 11201, 849, 581, 3020, 267, 5868, 2126, 540, 3075, 946, 4713, 2569, 824, 2790, 10108, 543, 267, 952, 789, 798, 476, 1789, 267, 5103, 1164, 3928, 1312, 1472, 838, 10165, 476, 3451, 2066, 2919, 10600, 267, 476, 2641, 267, 596, 723, 513, 4524, 616, 6236, 688, 454, 26322, 14278, 1235, 616, 519, 1072, 4648, 1034, 3015, 547, 519, 1857, 269, 1358, 3761, 11955, 538, 13076, 609, 513, 13310, 610, 267, 950, 16155, 15868, 267, 6133, 873, 1510, 513, 13310, 269, 769, 1840, 547, 4180, 606, 4977, 3761, 540, 3617, 2472, 267, 741, 3318, 2238, 849, 3382, 5646, 18522, 540, 2550, 693, 519, 942, 540, 7006, 14819, 540, 13310, 543, 1875, 25535, 5524, 5061, 267, 3075, 1344, 547, 1072, 4648, 267, 2550, 543, 519, 2489, 1857, 267, 543, 7589, 538, 1072, 1790, 668, 10056, 15961, 269, 1358, 2226, 6402, 609, 824, 1072, 4648, 538, 3119, 1072, 1416, 269, 0, 7922, 785, 20440, 538, 29827, 6692, 18436, 18367, 18315, 1557, 454, 13625, 827, 18367, 18315, 779, 20440, 910, 18367, 18315, 779, 9073, 4619, 528, 3564, 1863, 786, 538, 29827, 6692, 2917, 781, 18367, 18315, 1557, 910, 3564, 1863, 786, 538, 269, 18004, 4805, 547, 5884, 4805, 281, 32238, 538, 18367, 18315, 29827, 6692, 2917, 781, 476, 8687, 279, 20100, 267, 18367, 18315, 267, 602, 568, 267, 2394, 646, 9060, 4619, 528, 4619, 528, 6487, 20440, 11783, 11683, 4798, 538, 18367, 18315, 676, 29827, 6692, 2917, 4332, 543, 5137, 20440, 18367, 18315, 2982, 602, 1480, 7919, 616, 7184, 16529, 563, 10303, 540, 1010, 19818, 585, 1702, 543, 20440, 547, 1711, 1272, 267, 18367, 18315, 676, 29827, 6692, 2917, 10839, 476, 272, 1909, 540, 3961, 538, 29827, 6692, 18436, 18367, 18315, 1557, 269, 29975, 3594, 910, 9420, 20440, 538, 29827, 6692, 2917, 781, 18367, 18315, 269, 901, 1863, 7005, 3332, 1557, 593, 1557, 281, 18367, 18315, 676, 29827, 6692, 2917, 568, 3501, 585, 7005, 3332, 1053, 547, 946, 607, 606, 1383, 269, 32113, 597, 513, 334, 642, 6403, 1372, 334, 950, 519, 13085, 855, 796, 2180, 13454, 10196, 1743, 4619, 528, 18367, 18315, 7947, 338, 519, 5841, 812, 602, 646, 814, 2813, 267, 29827, 6692, 2917, 781, 18367, 18315, 630, 1960, 275, 563, 8698, 1557, 910, 18367, 18315, 349, 1557, 689, 1893, 3284, 693, 1138, 916, 1164, 1153, 538, 29827, 6692, 18436, 18367, 18315, 267, 4401, 1227, 267, 972, 616, 1896, 10486, 1063, 4619, 528, 269, 29975, 568, 519, 1650, 540, 513, 812, 4171, 20440, 2978, 4424, 6692, 18436, 18367, 18315, 19421, 540, 676, 29827, 6692, 2917, 22967, 593, 18367, 18315, 269, 9105, 2576, 945, 779, 1224, 29827, 6692, 2917, 779, 18367, 18315, 281, 827, 519, 13442, 581, 21794, 519, 9420, 24663, 540, 519, 632, 30824, 344, 1920, 585, 10343, 543, 9950, 1087, 904, 18367, 18315, 936, 20440, 29827, 530, 3326, 7723, 8154, 543, 5728, 25106, 1153, 21485, 338, 3661, 18367, 18315, 3284, 1557, 2055, 602, 609, 519, 1318, 4999, 269, 769, 29827, 6692, 18436, 3209, 267, 18367, 18315, 267, 16529, 2360, 538, 18367, 18315, 7005, 3332, 1557, 3197, 782, 19500, 2390, 519, 1482, 9420, 20440, 269, 29975, 3594, 616, 4081, 3594, 585, 11239, 891, 4574, 941, 2854, 5097, 676, 1053, 543, 1683, 2565, 2079, 540, 18367, 18315, 676, 29827, 269, 6307, 6692, 2917, 267, 18367, 18315, 267, 1196, 795, 533, 4954, 25433, 630, 2908, 26294, 281, 530, 530, 14926, 517, 1299, 2754, 267, 1651, 267, 476, 1001, 273, 1070, 533, 476, 274, 782, 18367, 18315, 24185, 786, 581, 689, 713, 7160, 267, 543, 786, 269, 32559, 20440, 538, 29827, 6692, 2917, 781, 18367, 18315, 1557, 9420, 20440, 538, 29827, 6692, 2917, 781, 18367, 18315, 29827, 811, 827, 1557, 593, 25796, 20440, 18367, 18315, 269, 769, 18367, 18315, 875, 1281, 519, 946, 540, 1614, 1936, 2209, 1860, 519, 5467, 781, 3210, 547, 519, 3209, 2854, 676, 29827, 6692, 2917, 538, 476, 8687, 277, 267, 18367, 18315, 568, 9420, 20440, 269, 3690, 5296, 540, 31250, 20440, 538, 18367, 18315, 3209, 18367, 18315, 676, 29827, 6692, 2917, 676, 642, 2795, 333, 27825, 270, 22967, 8276, 515, 514, 5341, 338, 11721, 17213, 18315, 20400, 269, 5851, 1514, 2418, 538, 29827, 6692, 18436, 18367, 18315, 1514, 2418, 538, 29827, 6692, 2917, 779, 18367, 18315, 602, 621, 1223, 723, 1044, 2009, 1317, 519, 2025, 812, 729, 9420, 269, 5192, 606, 2626, 585, 1412, 4186, 2858, 16664, 538, 12335, 781, 16664, 267, 543, 4619, 528, 18367, 18315, 538, 29827, 6692, 2917, 781, 18367, 18315, 281, 29256, 532, 20440, 27260, 288, 3387, 819, 543, 11348, 811, 7059, 1383, 540, 2123, 20440, 1018, 9267, 2023, 543, 18367, 18315, 723, 538, 1455, 568, 602, 789, 786, 3247, 693, 29827, 530, 18367, 18315, 15545, 7956, 267, 3961, 267, 1641, 2032, 540, 29827, 6692, 2917, 779, 18367, 18315, 2094, 922, 8313, 538, 476, 8687, 279, 22672, 1652, 543, 1272, 15134, 836, 1359, 20440, 547, 269, 2974, 6767, 4104, 3028, 1382, 1957, 703, 1557, 593, 18367, 18315, 23692, 520, 1557, 513, 812, 4171, 20440, 29377, 543, 1353, 2055, 585, 29827, 6692, 18436, 18367, 18315, 563, 268, 19264, 819, 538, 18367, 18315, 3594, 20440, 568, 513, 2178, 7287, 547, 3035, 1945, 538, 519, 3209, 676, 29827, 6692, 569, 267, 18367, 18315, 267, 972, 616, 1614, 1883, 5716, 538, 519, 1909, 563, 268, 4828, 2565, 3069, 2239, 4480, 538, 18367, 18315, 29827, 6692, 2917, 1185, 1082, 2239, 14908, 519, 20440, 540, 9267, 2023, 7140, 1864, 513, 1761, 4619, 528, 563, 1607, 9176, 6252, 814, 1044, 2016, 32161, 11052, 538, 29827, 6692, 2917, 779, 18367, 18315, 519, 3594, 602, 4758, 4473, 547, 513, 1596, 9220, 534, 20440, 547, 269, 29975, 1557, 3594, 543, 9880, 593, 29827, 6692, 18436, 18367, 18315, 18367, 18315, 568, 519, 1650, 540, 513, 812, 4171, 20440, 29377, 1864, 547, 3343, 585, 269, 4828, 281, 968, 15367, 568, 519, 1483, 20599, 538, 29827, 6692, 2917, 779, 3209, 267, 18367, 18315, 2705, 267, 950, 646, 13290, 547, 2911, 519, 9420, 812, 267, 1010, 1920, 3802, 538, 11783, 1323, 2079, 540, 29827, 6692, 2917, 779, 18367, 18315, 1557, 29827, 6692, 2917 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 779, 524, 4981, 568, 4049, 267, 513, 4387, 949, 21559, 28335, 547, 948, 2569, 519, 11926, 538, 519, 21572, 269, 27275, 2665, 1611, 1453, 786, 991, 547, 3251, 538, 519, 6413, 543, 581, 16913, 563, 10303, 513, 10194, 3968, 3123, 524, 4981, 267, 7189, 4465, 1406, 21559, 11216, 563, 2026, 524, 4981, 568, 1945, 602, 4523, 538, 5114, 547, 513, 3644, 267, 621, 779, 711, 1945, 602, 666, 581, 3262, 269, 2334, 1767, 267, 519, 3644, 602, 3123, 524, 4981, 666, 581, 5293, 593, 547, 1866, 267, 899, 513, 4411, 563, 763, 1655, 1259, 547, 3247, 519, 3262, 540, 513, 3644, 568, 547, 912, 2252, 596, 2461, 14126, 827, 707, 1126, 585, 1022, 2601, 267, 2141, 3343, 2564, 5796, 269, 1411, 917, 707, 1126, 1732, 982, 4896, 267, 865, 3314, 547, 3972, 707, 26756, 563, 18800, 4816, 2472, 547, 7118, 12587, 2798, 267, 1287, 23396, 1346, 2798, 585, 8835, 16691, 16896, 717, 3424, 21998, 269, 898, 781, 865, 2653, 256 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3895, 2757, 6575, 267, 9821, 267, 4978, 267, 543, 2418, 2404, 609, 1808, 6803, 885, 610, 4525, 780, 288, 2487, 1353, 3370, 538, 11595, 3163, 8711, 2947, 3119, 2188, 7133, 519, 3059, 2792, 540, 27656, 2761, 594, 6224, 281, 3059, 2792, 4656, 267, 2686, 2792, 11036, 267, 13916, 540, 3059, 2029, 267, 5304, 10343, 543, 17133, 267, 543, 796, 19055, 762, 2188, 269, 1284, 786, 4983, 1142, 3815, 14350, 267, 5373, 4296, 547, 6626, 2152, 4478, 12563, 5158, 11091, 543, 23425, 780, 272, 269, 2878, 19445, 9442, 17607, 5093, 634, 4110, 547, 799, 8639, 3238, 538, 27656, 2761, 594, 6224, 5431, 519, 1761, 2640, 543, 2591, 15054, 676, 3059, 2792, 4249, 513, 2565, 1909, 538, 8159, 922, 3811, 6388, 269, 1280, 3236, 267, 5159, 1590, 581, 3222, 540, 875, 741, 960, 666, 3914, 9962, 9458, 998, 1514, 2923, 9055, 610, 552, 19645, 5867, 282, 13974, 267, 7855, 1058, 2015, 6220, 3059, 2645, 883, 13460, 547, 16616, 7820, 5481, 547, 642, 4314, 532, 4739, 2553, 269, 1635, 5807, 3152, 3059, 7924, 1851, 9439, 267, 3173, 267, 543, 12439, 7567, 267, 649, 2482, 519, 5748, 585, 811, 7347, 6278, 609, 27656, 2761, 594, 6224, 538, 938, 5051, 10562, 1158, 780, 273, 269, 2878, 24292, 9442, 19541, 5093, 1160, 5562, 3800, 3144, 676, 6608, 267, 3906, 267, 543, 2199, 2950, 547, 7520, 519, 5610, 540, 27656, 2761, 594, 6224, 883, 3059, 5624, 616, 1898, 585, 4180, 922, 6668, 543, 2208, 269, 6270, 7341, 1522, 4125, 9591, 6131, 7270, 15386, 6237, 23477, 267, 13384, 1681, 11925, 6322, 693, 3450, 5159, 875, 547, 946, 3059, 2645, 3927, 267, 610, 24574, 1359, 609, 10509, 3549, 547, 1711, 15138, 5691, 2833, 10704, 1472, 2757, 6575, 269, 3414, 7104, 2962, 267, 649, 666, 948, 8115, 519, 7934, 1063, 2250, 543, 1459, 267, 3850, 27656, 2761, 594, 6224, 547, 11457, 7258, 6932, 4066, 1510, 9561, 8289, 540, 922, 3140, 4644, 780, 274, 269, 2878, 3849, 2194, 1464, 540, 7913, 5303, 5093, 11154, 532, 4540, 3059, 4066, 547, 9290, 519, 2189, 2115, 540, 27656, 2761, 594, 6224, 3340, 1312, 5876, 543, 2930, 6791, 269, 3763, 619, 1590, 1265, 5499, 3435, 585, 18071, 6946, 6272, 267, 13830, 13857, 18282, 267, 543, 1138, 6819, 28241, 17915, 1107, 782, 7533, 3344, 540, 1082, 2757, 13492, 269, 5047, 267, 789, 991, 547, 2327, 602, 891, 10124, 2611, 3015, 543, 3593, 7888, 585, 1346, 945, 949, 3668, 4359, 2930, 1983, 610, 2200, 269, 20985, 3785, 5473, 4966, 689, 3309, 4610, 267, 971, 607, 19795, 267, 2780, 2257, 267, 543, 1374, 267, 3180, 1390, 9153, 538, 5466, 891, 2591, 543, 22338, 519, 1259, 585, 811, 8537, 3059, 11269, 540, 27656, 2761, 594, 6224, 780, 275, 269, 2878, 29423, 1466, 20504, 766, 543, 595, 10744, 5093, 4197, 875, 1114, 22097, 13498, 543, 2170, 609, 3059, 14906, 1431, 540, 27656, 2761, 594, 6224, 568, 4105, 585, 12238, 3101, 741, 1764, 543, 26655, 2104, 7835, 269, 3194, 5267, 602, 2188, 899, 2085, 267, 4008, 267, 14227, 4567, 267, 543, 2686, 4282, 666, 3648, 3337, 1367, 6114, 547, 5691, 2833, 12082, 538, 2245, 269, 9182, 267, 2766, 1681, 3059, 17008, 547, 8597, 547, 8795, 7375, 543, 4690, 3587, 14063, 538, 2502, 3376, 3444, 5498, 2388, 540, 2486, 269, 3958, 267, 14237, 606, 7071, 585, 519, 1686, 267, 13513, 267, 543, 2495, 3297, 1880, 13492, 10597, 21951, 8223, 543, 18399, 267, 2417, 17923, 519, 1871, 540, 10128, 3872, 3334, 883, 3059, 5867, 780, 276, 269, 2878, 4462, 19055, 762, 11790, 5093, 24498, 2609, 3564, 1480, 1852, 267, 971, 607, 2804, 15088, 267, 2797, 16132, 267, 2825, 12469, 267, 610, 1857, 1072, 16839, 267, 666, 10460, 8101, 6937, 547, 27656, 2761, 594, 6224, 781, 3059, 11091, 3646, 269, 2755, 19086, 971, 4220, 949, 6961, 4101, 267, 20314, 1890, 4058, 543, 4199, 14305, 616, 1869, 2629, 3268, 4724, 17420, 3407, 2686, 7221, 1996, 6397, 14488, 269, 8490, 14388, 1949, 5827, 540, 15268, 547, 4657, 6381, 5849, 4797, 1569, 547, 27656, 2761, 594, 6224, 5103, 5007, 12503, 267, 7551, 30176, 938, 3838, 5539, 547, 2149, 543, 8661, 8103, 781, 3638, 7499, 9371, 780, 1103, 3932, 267, 10188, 519, 10167, 540, 3059, 2792, 543, 27656, 2761, 594, 6224, 6799, 3875, 3255, 543, 2591, 585, 15156, 540, 12563, 2528, 25954, 269, 1635, 6313, 1883, 2188, 12018, 713, 6422, 2078, 267, 649, 2744, 4030, 883, 1655, 2853, 585, 16107, 28928, 4066, 1247, 6967, 6213, 547, 519, 7915, 7907, 602, 11904, 891, 2757, 6575, 865, 19918, 8903, 269, 11086, 267, 8508, 5647, 1281, 711, 28173, 10205, 532, 2245, 282, 2864, 267, 621, 20217, 721, 547, 2263, 3209, 2409, 585, 14120, 543, 31328, 519, 11972, 7326, 543, 5898, 22993, 538, 27656, 2761, 594, 6224, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 294, 1037, 539, 3069, 2861, 2203, 540, 519, 3310, 540, 3059, 2792, 593, 27656, 2761, 30608, 2686, 6561, 454, 15463, 5146, 3163, 4320, 476, 1015, 267, 9137, 1297, 281, 476, 14695, 630, 1708, 273, 994, 19445, 4066, 723, 12012, 1514, 5872, 543, 1344, 6771, 267, 2870, 1007, 2686, 2792, 2923, 543, 3631, 269, 6736, 3573, 13753, 883, 519, 1198, 540, 3059, 2792, 593, 27656, 2761, 30608, 2686, 6561, 630, 2975, 295, 1070, 1382, 593, 519, 2078, 1063, 519, 2188, 602, 3310, 519, 3059, 2792, 540, 27656, 2761, 594, 6224, 568, 5266, 17077, 269, 901, 1353, 1031, 1930, 25804, 11042, 543, 21849, 2079, 547, 3489, 1239, 7282, 891, 12018, 2188, 269, 589, 16135, 3069, 1935, 1336, 602, 2947, 4295, 2188, 723, 1713, 2360, 593, 519, 3059, 2792, 540, 27656, 2761, 594, 6224, 269, 1452, 616, 3059, 2792, 4656, 267, 2686, 2792, 11036, 267, 13916, 540, 3059, 2029, 267, 5304, 10343, 543, 17133, 267, 543, 796, 19055, 762, 2188, 269, 5015, 267, 513, 5376, 16210, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 293, 13083, 9177, 4860, 2526, 257, 607, 851, 540, 834, 24719, 13316, 1315, 8836, 1299, 23532, 5525, 1315, 1977, 1315, 4937, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 10289, 19176, 28690, 281, 634, 3203, 540, 10435, 14465, 327, 21007, 692, 7072, 912, 289, 17505, 327, 544, 383, 361, 568, 513, 30883, 24207, 19176, 26889, 602, 9356, 519, 3943, 7810, 3310, 593, 19176, 11951, 269, 901, 632, 937, 762, 8265, 1426, 814, 6591, 8560, 5001, 1813, 547, 922, 2189, 11100, 540, 10366, 267, 18282, 267, 543, 12906, 553, 269, 769, 713, 1576, 1770, 267, 649, 786, 5490, 883, 519, 1686, 267, 5820, 267, 2553, 267, 543, 6237, 7648, 540, 536, 17505, 327, 544, 383, 361, 267, 3246, 596, 609, 606, 538, 3829, 1620, 540, 713, 5023, 22476, 8670, 269, 5047, 267, 649, 786, 2263, 875, 713, 9583, 2241, 26889, 24151, 519, 1950, 16799, 1063, 2528, 267, 6214, 267, 543, 14051, 780, 296, 269, 8466, 17461, 454, 288, 269, 17959, 540, 645, 17505, 327, 631, 383, 361, 454, 272, 269, 20616, 1143, 543, 26943, 2435, 16510, 281, 1215, 519, 12760, 540, 3943, 543, 19176, 11477, 5389, 5795, 4332, 547, 536, 17505, 327, 544, 383, 361, 563, 273, 269, 12472, 540, 519, 8745, 281, 32274, 519, 29721, 543, 10409, 4644, 540, 834, 321, 17505, 327, 544, 383, 361, 3010, 289, 269, 4886, 540, 19176, 9995, 16049, 9177, 454, 272, 269, 9335, 5253, 9177, 538, 10476, 281, 4197, 519, 1514, 543, 2804, 2796, 540, 8265, 1426, 21527, 543, 741, 1909, 538, 5935, 536, 17505, 327, 544, 383, 361, 563, 273, 269, 32501, 543, 15019, 640, 281, 24167, 519, 2188, 7700, 547, 519, 3486, 6284, 543, 9542, 540, 536, 17505, 327, 544, 383, 361, 780, 2862, 269, 23123, 543, 9828, 454, 288, 269, 12708, 22020, 540, 645, 17505, 327, 631, 383, 361, 454, 272, 269, 645, 16331, 8291, 281, 29922, 519, 1318, 1826, 540, 9126, 340, 8291, 585, 8076, 9403, 543, 8137, 282, 4388, 593, 8600, 19471, 9126, 340, 22863, 563, 273, 269, 26287, 1231, 281, 18948, 540, 2757, 30836, 899, 1989, 2683, 20230, 267, 533, 5889, 339, 2946, 267, 543, 5779, 27750, 267, 2059, 609, 20757, 8925, 563, 274, 269, 29641, 543, 4173, 2125, 281, 11957, 540, 4584, 1194, 5388, 267, 29475, 21100, 267, 795, 531, 1901, 10722, 657, 267, 543, 524, 559, 656, 549, 282, 1697, 7041, 2409, 563, 275, 269, 9473, 9323, 543, 28397, 806, 281, 4985, 547, 1898, 27156, 543, 19082, 267, 1519, 949, 30358, 1047, 267, 13386, 14036, 267, 543, 7395, 22080, 4005, 532, 563, 276, 269, 717, 7568, 8460, 281, 10020, 540, 5743, 6853, 4927, 1824, 543, 824, 18593, 21959, 8460, 538, 7393, 6492, 543, 6881, 780, 289, 269, 1306, 5145, 1782, 519, 17828, 645, 17505, 327, 631, 383, 361, 454, 272, 269, 20233, 1359, 26435, 281, 23496, 3666, 543, 10103, 540, 10366, 998, 7580, 2482, 1359, 563, 273, 269, 7956, 1116, 25037, 281, 19793, 1324, 5551, 4334, 543, 11116, 676, 9256, 2571, 543, 29511, 344, 2609, 563, 274, 269, 11426, 1944, 2659, 645, 17505, 327, 631, 383, 361, 281, 9669, 585, 23695, 547, 8192, 7375, 543, 9993, 1247, 4509, 13597, 780, 7656, 269, 13636, 29938, 543, 11154, 725, 454, 288, 269, 8832, 19176, 13910, 630, 289, 17505, 327, 631, 383, 361, 3345, 994, 272, 269, 18567, 543, 6206, 16016, 1042, 1304, 20212, 281, 31692, 5109, 2934, 3379, 547, 7013, 13413, 563, 273, 269, 27748, 545, 2598, 1127, 281, 16709, 540, 670, 8457, 328, 781, 4583, 536, 17505, 327, 544, 383, 361, 14726, 267, 971, 607, 536, 17505, 327, 544, 383, 361, 555, 12782, 489, 339, 562, 7666, 12782, 503, 328, 630, 322, 1245, 2759, 536, 17505, 327, 544, 383, 361, 6393, 289, 269, 6239, 19176, 13910, 630, 289, 17505, 327, 631, 383, 361, 4741, 994, 272, 269, 23433, 4469, 2948, 4515, 3796, 281, 11137, 540, 3844, 3148, 781, 25970, 267, 12050, 267, 543, 23599, 4162, 563, 273, 269, 3502, 26312, 11511, 725, 281, 28038, 32258, 899, 536, 17505, 327, 544, 383, 361, 959, 12782, 358, 978, 669, 17554, 352, 19819, 383, 366, 630, 727, 30592, 543, 22304, 5066, 536, 17505, 327, 544, 383, 361, 6393, 290, 269, 8828, 19176, 13910, 630, 289, 17505, 327, 631, 383, 361, 3162, 994, 272, 269, 21690, 543, 14205, 800, 18696, 281, 22716, 529, 593, 4006, 6165, 543, 27772, 5144, 19899, 4310, 3334, 563, 273, 269, 11412, 21077, 594, 614, 725, 281, 19361, 1944, 6267, 609, 15223, 580, 517, 781, 1340, 539, 536, 17505, 327, 544, 383, 361, 521, 12782, 363, 320, 630, 1718, 10234, 5144, 536, 17505, 327, 544, 383, 361, 6393, 4353, 269, 7351, 12367, 543, 8892, 19648, 454, 288, 269, 645, 17505, 327, 631, 383, 361, 15332, 10476, 281, 15766, 908, 519, 3395, 4527, 540, 536, 17505, 327, 544, 383, 361, 15945, 1472, 519, 8608, 563, 289, 269, 16743, 543, 27065, 281, 8058, 322, 2084, 2413, 23538, 593, 5929, 10346, 267, 6220, 4207, 5820, 543, 5986, 2553, 563, 290, 269, 20885, 543, 19078, 29283, 281, 18601, 4145, 827, 27126, 5820, 543, 5885, 2199, 4213, 1369, 519, 2796, 540, 536, 17505, 327, 544, 383, 361, 2504, 543, 4616, 780, 6962, 912, 1607, 1576, 1770, 6322, 693, 30015, 596, 609, 1702, 543, 1983, 2838, 547, 5660, 543, 5965, 519, 9159, 19176, 26889, 910, 536, 17505, 327, 544, 383, 361, 269, 3414, 3695, 3140, 4282, 267, 4295, 3334, 267, 6237, 3604, 267, 543, 1699, 7835, 267, 596, 723, 9715, 513, 7096, 8223, 540, 713, 7415, 8670, 269, 1635, 2502, 538, 3946, 6823, 2259, 543, 17634, 267, 4019, 891, 4030, 547, 4739, 707, 1378, 12300, 536, 17505, 327, 544, 383, 361, 2833, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 25565, 19176, 1426, 568, 513, 11477, 10508, 602, 20502, 519, 2197, 779, 3638, 2686, 6561, 269, 3245, 519, 11599, 10366, 540, 943, 334, 543, 7333, 327, 11465, 547, 519, 10347, 4195, 1145, 540, 5614, 20061, 543, 7524, 11922, 267, 2757, 19176, 1426, 3091, 513, 3309, 2039, 540, 10366, 543, 18282, 269, 898, 568, 513, 8819, 1258, 5669, 1995, 602, 21915, 531, 3278, 519, 6492, 19512, 543, 3762, 513, 9434, 12705, 593 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1758, 659, 257, 13211, 825, 16733, 271, 343, 280, 293, 267, 476, 271, 343, 11025, 267, 476, 271, 343, 272, 290, 1070, 834, 3725, 1030, 7108, 257, 13211, 825, 16733, 271, 343, 280, 293, 267, 476, 271, 343, 280, 293, 267, 476, 271, 343, 280, 290, 1070, 834, 30252, 28545, 257, 13211, 825, 16733, 271, 343, 280, 293, 267, 476, 271, 343, 288, 271, 267, 476, 271, 343, 289, 272, 1070, 834, 306, 656, 553, 22630, 257, 13211, 825, 16733, 271, 343, 280, 293, 267, 476, 271, 343, 291, 278, 267, 476, 271, 343, 291, 274, 1070, 834, 306, 514, 21112, 257, 13211, 825, 16733, 271, 343, 280, 293, 267, 476, 271, 343, 24884, 267, 476, 271, 343, 279, 290, 1070, 834, 8722, 6359, 10394, 257, 13211, 825, 16733, 271, 343, 288, 271, 267, 476, 271, 343, 2767, 267, 476, 271, 343, 1321, 1070, 834, 307, 629, 553, 1723, 257, 13211, 825, 16733, 271, 343, 288, 272, 267, 476, 271, 343, 4037, 267, 476, 271, 343, 271, 291, 1070, 834, 3719, 339, 1229, 681, 636, 257, 13211, 825, 16733, 271, 343, 288, 272, 267, 476, 271, 343, 4696, 267, 476, 271, 343, 289, 276, 1070, 834, 295, 527, 22630, 257, 13211, 825, 16733, 271, 343, 288, 272, 267, 476, 271, 343, 290, 276, 267, 476, 271, 343, 271, 288, 1070, 834, 290, 527, 6350, 257, 13211, 825, 16733, 271, 343, 288, 272, 267, 476, 271, 343, 6395, 267, 476, 271, 343, 291, 278, 1070, 834, 288, 638, 320, 6816, 257, 13211, 825, 16733, 271, 343, 288, 272, 267, 476, 271, 343, 292, 280, 267, 476, 271, 343, 14701, 1070, 834, 12850, 23516, 257, 13211, 825, 16733, 271, 343, 288, 273, 267, 476, 271, 343, 876, 267, 476, 271, 343, 277, 291, 1070, 834, 14503, 7398, 257, 13211, 825, 16733, 271, 343, 288, 273, 267, 476, 271, 343, 274, 289, 267, 476, 271, 343, 277, 290, 1070, 834, 305, 537, 613, 257, 13211, 825, 16733, 271, 343, 288, 273, 267, 476, 271, 343, 5780, 267, 476, 271, 343, 3393, 1070, 834, 290, 1901, 623, 718, 16014, 257, 13211, 825, 16733, 271, 343, 288, 273, 267, 476, 271, 343, 8150, 267, 476, 271, 343, 289, 274, 1070, 834, 294, 2001, 932, 622, 879, 257, 13211, 825, 16733, 271, 343, 288, 273, 267, 476, 271, 343, 20067, 267, 476, 271, 343, 5723, 1070, 834, 10955, 1189, 257, 13211, 825, 16733, 271, 343, 288, 274, 267, 476, 271, 343, 3199, 267, 476, 271, 343, 278, 289, 1070, 834, 4942, 22611, 777, 257, 13211, 825, 16733, 271, 343, 288, 274, 267, 476, 271, 343, 9032, 267, 476, 271, 343, 289, 275, 1070, 834, 8649, 996, 22438, 3911, 5803, 257, 13211, 825, 16733, 271, 343, 288, 274, 267, 476, 271, 343, 292, 274, 267, 476, 271, 343, 3633, 1070, 834, 7922, 11170, 731, 9791, 257, 13211, 825, 16733, 271, 343, 288, 275, 267, 476, 271, 343, 288, 275, 267, 476, 271, 343, 280, 291, 1070, 834, 18773, 257, 13211, 825, 16733, 271, 343, 288, 275, 267, 476, 271, 343, 288, 277, 267, 476, 271, 343, 291, 274, 1070, 834, 310, 626, 995, 257, 13211, 825, 16733, 271, 343, 288, 275, 267, 476, 271, 343, 28425, 267, 476, 271, 343, 277, 292, 1070, 834, 16675, 3911, 5803, 257, 13211, 825, 16733, 271, 343, 288, 276, 267, 476, 271, 343, 271, 289, 267, 476, 271, 343, 276, 292, 1070, 834, 297, 9579, 9440, 11918, 257, 13211, 825, 16733, 271, 343, 288, 276, 267, 476, 271, 343, 280, 289, 267, 476, 271, 343, 11011, 1070, 834, 313, 528, 9346, 257, 13211, 825, 16733, 271, 343, 288, 276, 267, 476, 271, 343, 290, 289, 267, 476, 271, 343, 271, 290, 1070, 834, 289, 1695, 807, 257, 13211, 825, 16733, 271, 343, 288, 277, 267, 476, 271, 343, 273, 293, 267, 476, 271, 343, 736, 1070, 834, 305, 334, 1993, 6833, 2350, 27198, 257, 13211, 825, 16733, 271, 343, 288, 277, 267, 476, 271, 343, 4649, 267, 476, 271, 343, 3066, 1070, 834, 25508, 22611, 257, 13211, 825, 16733, 271, 343, 288, 277, 267, 476, 271, 343, 279, 289, 267, 476, 271, 343, 276, 289, 1070, 834, 21574, 2917, 12397, 257, 13211, 825, 16733, 271, 343, 288, 277, 267, 476, 271, 343, 10844, 267, 476, 271, 343, 8064, 1070, 834, 10673, 4486, 9466, 257, 13211, 825, 16733, 271, 343, 288, 277, 267, 476, 271, 343, 288, 273, 267, 476, 271, 343, 280, 288, 1070, 834, 291, 11921, 257, 13211, 825, 16733, 271, 343, 288, 278, 267, 476, 271, 343, 1839, 267, 476, 271, 343, 1839, 1070, 834, 300, 1410, 4618, 4414, 257, 13211, 825, 16733, 271, 343, 288, 278, 267, 476, 271, 343, 6434, 267, 476, 271, 343, 273, 290, 1070, 834, 299, 5060, 528, 7108, 257, 13211, 825, 16733, 271, 343, 288, 279, 267, 476, 271, 343, 7871, 267, 476, 271, 343, 5881, 1070, 834, 23613, 7108, 257, 13211, 825, 16733, 271, 343, 288, 279, 267, 476, 271, 343, 4792, 267, 476, 271, 343, 1428, 1070, 834, 30262, 334, 9995, 257, 13211, 825, 16733, 271, 343, 288, 279, 267, 476, 271, 343, 277, 289, 267, 476, 271, 343, 277, 289, 1070, 834, 290, 7394, 10326, 257, 13211, 825, 16733, 271, 343, 288, 279, 267, 476, 271, 343, 7176, 267, 476, 271, 343, 280, 289, 1070, 834, 291, 755, 344, 22630, 257, 13211, 825, 16733, 271, 343, 288, 279, 267, 476, 271, 343, 4200, 267, 476, 271, 343, 292, 277, 1070, 834, 291, 1638, 30225, 2658, 257, 13211, 825, 16733, 271, 343, 288, 279, 267, 476, 271, 343, 288, 276, 267, 476, 271, 343, 8660, 1070, 834, 307, 9994, 257, 13211, 825, 16733, 271, 343, 288, 279, 267, 476, 271, 343, 20067, 267, 476, 271, 343, 280, 290, 1070, 834, 289, 644, 257, 13211, 825, 16733, 271, 343, 288, 279, 267, 476, 271, 343, 28425, 267, 476, 271, 343, 279, 292, 1070, 834, 299, 665, 755, 257, 13211, 825, 16733, 271, 343, 288, 279, 267, 476, 271, 343, 9720, 267, 476, 271, 343, 280, 293, 1070, 834, 301, 528, 3118, 257, 13211, 825, 16733, 271, 343, 288, 279, 267, 476, 271, 343, 292, 274, 267, 476, 271, 343, 9720, 1070, 834, 2419, 514, 809, 257, 13211, 825, 16733, 271, 343, 288, 280, 267, 476, 271, 343, 288, 275, 267, 476, 271, 343, 11011, 1070, 834, 294, 2001, 29106, 257, 13211, 825, 16733, 271, 343, 288, 280, 267, 476, 271, 343, 3722, 267, 476, 271, 343, 289, 277, 1070, 834, 2704, 6058, 1756, 257, 13211, 825, 16733, 271, 343, 288, 280, 267, 476, 271, 343, 289, 273, 267, 476, 271, 343, 290, 274, 1070, 834, 290, 611, 564, 9791, 257, 13211, 825, 16733, 271, 343, 288, 280, 267, 476, 271, 343, 289, 275, 267, 476, 271, 343, 9032, 1070, 834, 19913, 626, 257, 13211, 825, 16733, 271, 343, 288, 280, 267, 476, 271, 343, 9720, 267, 476, 271, 343, 289, 293, 1070, 834, 307, 1077, 22630, 257, 13211, 825, 16733, 271, 343, 288, 280, 267, 476, 271, 343, 23813, 267, 476, 271, 343, 293, 273, 1070, 834, 8110, 8457, 257, 13211, 825, 16733, 271, 343, 288, 280, 267, 476, 271, 343, 290, 277, 267, 476, 271, 343, 290, 273, 1070, 834, 302, 25659, 257, 13211, 825, 16733, 271, 343, 8150, 267, 476, 271, 343, 4391, 267, 476, 271, 343, 276, 288, 1070, 834, 301, 697, 1744, 611, 345, 257, 13211, 825, 16733, 271, 343, 8150, 267, 476, 271, 343, 5655, 267, 476, 271, 343, 6734, 1070, 834, 27852, 257, 13211, 825, 16733, 271, 343, 8150, 267, 476, 271, 343, 279, 289, 267, 476, 271, 343, 276, 289, 1070, 834, 300, 1132, 2993, 257, 13211, 825, 16733, 271, 343, 8150, 267, 476, 271, 343, 279, 291, 267, 476, 271, 343, 277, 293, 1070, 834, 306, 663, 531, 257, 13211, 825, 16733, 271, 343, 8150, 267, 476, 271, 343, 288, 276, 267, 476, 271, 343, 288, 280, 1070, 834, 4537, 8014, 15248, 257, 13211, 825, 16733, 271, 343, 8150, 267, 476, 271, 343, 288, 280, 267, 476, 271, 343, 7374, 1070, 834, 19868, 534, 257, 13211, 825, 16733, 271, 343, 8150, 267, 476, 271, 343, 5723, 267, 476, 271, 343, 289, 278, 1070, 834, 8967, 684, 23421, 257, 13211, 825, 16733, 271, 343, 8150, 267, 476, 271, 343, 291, 277, 267, 476, 271, 343, 292, 277, 1070, 834, 8802, 550, 853, 9791, 257, 13211, 825, 16733, 271, 343, 8150, 267, 476, 271, 343, 293, 271, 267, 476, 271, 343, 291, 272, 1070, 834, 300, 20723, 631, 842, 257, 13211, 825, 16733, 271, 343, 5723, 267, 476, 271, 343, 4962, 267, 476, 271, 343, 8287, 1070, 834, 299, 760, 22496, 257, 13211, 825, 16733, 271, 343, 5723, 267, 476, 271, 343, 4097, 267, 476, 271, 343, 7761, 1070, 834, 305, 5819, 1261, 987, 257, 13211, 825, 16733, 271, 343, 5723, 267, 476, 271, 343, 11011, 267, 476, 271, 343, 278, 288, 1070, 834, 306, 663, 337, 3424, 257, 13211, 825, 16733, 271, 343, 5723, 267, 476, 271, 343, 288, 271, 267, 476, 271, 343, 291, 280, 1070, 834, 290, 1245, 31947, 257, 13211, 825, 16733, 271, 343, 5723, 267, 476, 271, 343, 288, 272, 267, 476, 271, 343, 9834, 1070, 834, 289, 1258, 1723, 257, 13211, 825, 16733, 271, 343, 3722, 267, 476, 271, 343, 279, 288, 267, 476, 271, 343, 6321, 1070, 834, 21918, 539, 18718, 257, 13211, 825, 16733, 271, 343, 3722, 267, 476, 271, 343, 11011, 267, 476, 271, 343, 4753, 1070, 834, 292, 770, 17121, 257, 13211, 825, 16733, 271, 343, 3722, 267, 476, 271, 343, 280, 292, 267, 476, 271, 343, 2420, 1070, 834, 299, 655, 517, 717, 5424, 257, 13211, 825, 16733, 271, 343, 3722, 267, 476, 271, 343, 288, 275, 267, 476, 271, 343, 11463, 1070, 834, 301, 23981, 257, 13211, 825, 16733, 271, 343, 3722, 267, 476, 271, 343, 288, 276, 267, 476, 271, 343, 10436, 1070, 834, 295, 16736, 257, 13211, 825, 16733, 271, 343, 3722, 267, 476, 271, 343, 288, 276, 267, 476, 271, 343, 280, 293, 1070, 834, 30208, 344, 257, 13211, 825, 16733, 271, 343, 3722, 267, 476, 271, 343, 3722, 267, 476, 271, 343, 3722, 1070, 834, 22068, 591, 30634, 823, 257, 13211, 825, 16733, 271, 343, 3722, 267, 476, 271, 343, 289, 278, 267, 476, 271, 343, 279, 292, 1070, 834, 18933, 2086, 5682, 257, 13211, 825, 16733, 271, 343, 3722, 267, 476, 271, 343, 290, 289, 267, 476, 271, 343, 289, 272, 1070, 834, 306, 7428, 14175, 257, 13211, 825, 16733, 271, 343, 3722, 267, 476, 271, 343, 24884, 267, 476, 271, 343, 275, 291, 1070, 834, 3519, 11717, 257, 13211, 825, 16733, 271, 343, 3722, 267, 476, 271, 343, 292, 272, 267, 476, 271, 343, 28425, 1070, 834, 290, 601, 611, 517, 257, 13211, 825, 16733, 271, 343, 4696, 267, 476, 271, 343, 4281, 267, 476, 271, 343, 272, 289, 1070, 834, 300, 663, 531, 599, 257, 13211, 825, 16733, 271, 343, 4696, 267, 476, 271, 343, 23813, 267, 476, 271, 343, 291, 272, 1070, 834, 290, 28771, 257, 13211, 825, 16733, 271, 343, 4696, 267, 476, 271, 343, 5263, 267, 476, 271, 343, 4696, 1070, 834, 300, 1601, 5682, 257, 13211, 825, 16733, 271, 343, 4696, 267, 476, 271, 343, 292, 277, 267, 476, 271, 343, 290, 275, 1070, 834, 303, 611, 7699, 257, 13211, 825, 16733, 271, 343, 4696, 267, 476, 271, 343, 13697, 267, 476, 271, 343, 273, 293, 1070, 834, 16675, 14117, 257, 13211, 825, 16733, 271, 343, 20067, 267, 476, 271, 343, 3393, 267, 476, 271, 343, 2568, 1070, 834, 295, 2089, 773, 25968, 257, 13211, 825, 16733, 271, 343, 20067, 267, 476, 271, 343, 2568, 267, 476, 271, 343, 736, 1070, 834, 5327, 1068, 257, 13211, 825, 16733, 271, 343, 20067, 267, 476, 271, 343, 3199, 267, 476, 271, 343, 280, 292, 1070, 834, 289, 537, 21103, 257, 13211, 825, 16733, 271, 343, 28425, 267, 476, 271, 343, 2412, 267, 476, 271, 343, 3374, 1070, 834, 8469, 1756, 25844, 710, 257, 13211, 825, 16733, 271, 343, 28425, 267, 476, 271, 343, 275, 291, 267, 476, 271, 343, 6246, 1070, 834, 7343, 548, 2349, 1601, 558, 257, 13211, 825, 16733, 271, 343, 28425, 267, 476, 271, 343, 6795, 267, 476, 271, 343, 274, 292, 1070, 834, 31342, 681, 755, 257, 13211, 825, 16733, 271, 343, 28425, 267, 476, 271, 343, 9262, 267, 476, 271, 343, 7906, 1070, 834, 7804, 3424, 6229, 257 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 2750, 1815, 5737, 8647, 630, 9128, 264, 568, 513, 15491, 5778, 17595, 1670, 4020, 602, 666, 581, 3989, 607, 630, 272, 264, 8108, 267, 630, 273, 264, 4509, 267, 543, 630, 274, 264, 13346, 2790, 5036, 267, 7222, 547, 519, 5759, 547, 630, 272, 264, 2601, 543, 5352, 3853, 543, 4566, 267, 630, 273, 264, 2226, 1445, 543, 8404, 547, 1246, 998, 609, 3853, 543, 4566, 267, 543, 630, 274, 264, 4827, 4601, 7369, 3853, 543, 4566, 538, 3210, 547, 4657, 20314, 4293, 563, 10932, 5473, 31246, 814, 1831, 5051, 2442, 538, 513, 1297, 540, 10459, 1519, 8965, 4915, 543, 7209, 1382, 563, 763, 1459, 2376, 14592, 930, 540, 519, 2591, 5185, 676, 31246, 3173, 267, 607, 1134, 607, 13713, 8039, 3140, 5133, 543, 5778, 534, 520, 13929, 24598, 25751, 540, 31246, 547, 1683, 6626, 2796, 563, 32747, 14245, 540, 31246, 22907, 267, 8847, 543, 10512, 1436, 540, 519, 733, 338, 1192, 267, 607, 1134, 607, 5542, 540, 3617, 4879, 2409, 616, 3177, 563, 763, 2376, 20147, 609, 2489, 1309, 1903, 543, 4808, 585, 3173, 563, 1607, 568, 513, 12744, 540, 20478, 1543, 267, 1569, 3842, 707, 9872, 563, 290, 17026, 902, 808, 299, 267, 16019, 19154, 269, 10417, 783, 543, 4791, 3344, 540, 519, 28882, 10981, 525, 269, 634, 1480, 28882, 10981, 525, 281, 12793, 543, 4713, 269, 476, 273, 526, 1196, 269, 1715, 3840, 267, 12924, 267, 2475, 281, 2871, 559, 5112, 4964, 282, 476, 1220, 278, 281, 1321, 1700, 2641, 563, 294, 9579, 1446, 344, 589, 267, 667, 262, 19324, 1842, 17010, 631, 267, 16019, 19154, 267, 595, 17026, 902, 808, 299, 269, 1133, 4328, 4776, 30613, 16794, 1599, 281, 15445, 1852, 267, 8849, 5121, 267, 543, 1283, 16365, 25244, 269, 634, 1480, 28882, 10981, 525, 281, 12793, 543, 4713, 269, 476, 273, 526, 1196, 269, 1715, 3840, 267, 12924, 267, 2475, 281, 2871, 559, 5112, 4964, 282, 476, 1220, 278, 281, 6942, 1700, 18684, 563, 293, 13831, 808, 301, 300, 269, 634, 4776, 30613, 16794, 540, 519, 929, 1493, 281, 589, 5348, 18462, 269, 5369, 984, 5735, 269, 476, 1220, 271, 282, 476, 2764, 281, 476, 10219, 1700, 14530, 563, 289, 2313, 717, 267, 17793, 345, 1512, 29273, 267, 681, 879, 577, 20793, 267, 1696, 620, 269, 1323, 10262, 524, 532, 3634, 16794, 14524, 538, 3007, 12413, 7228, 270, 30104, 13808, 4524, 7000, 676, 535, 28122, 543, 519, 25478, 853, 549, 641, 269, 22776, 24741, 269, 476, 1960, 280, 282, 476, 3393, 281, 476, 15150, 273, 1700, 14028, 273, 563, 306, 1168, 1841, 7641, 267, 29828, 1841, 10790, 269, 11724, 725, 540, 30973, 11479, 538, 8544, 658, 16794, 267, 31443, 555, 31726, 267, 20968, 31726, 543, 4571, 28090, 269, 11020, 1763, 18409, 269, 476, 1220, 274, 282, 476, 8618, 281, 476, 1839, 1700, 5392, 563, 17951, 18115, 328, 589, 267, 6022, 4861, 320, 667, 267, 22616, 698, 718, 334, 589, 267, 8575, 2884, 16210, 589, 267, 853, 1122, 1725, 334, 700, 269, 16508, 15717, 1310, 1318, 10739, 1993, 30613, 27295, 538, 513, 3461, 1510, 5042, 22907, 269, 11671, 516, 1636, 269, 476, 1960, 280, 282, 476, 1015, 281, 476, 14690, 272, 1700, 14690, 277, 563, 13043, 625, 523, 29851, 267, 10787, 3122, 12813, 309, 267, 590, 341, 1742, 523, 22743, 269, 18748, 19938, 543, 13809, 540, 19541, 538, 513, 8865, 540, 2107, 4226, 1993, 30613, 28864, 269, 11671, 6261, 2134, 15351, 531, 269, 476, 1220, 275, 282, 476, 277, 281, 476, 5325, 1700, 7830, 563, 307, 516, 3387, 26792, 700, 267, 5576, 738, 345, 654, 269, 25166, 731, 5829, 27090, 2534, 1282, 979, 5991, 690, 334, 4305, 2773, 538, 929, 1493, 10739, 1993, 30613, 16794, 269, 808, 11671, 31850, 2723, 269, 476, 1220, 271, 282, 476, 10695, 281, 476, 5908, 275, 1700, 6942, 277, 563, 300, 3326, 808, 267, 10507, 1782, 518, 623, 297, 267, 632, 29106, 4275, 4149, 537, 5633, 681, 269, 13571, 641, 6897, 543, 18751, 13796, 16794, 11852, 538, 513, 5837, 10385, 4305, 269, 1488, 336, 11671, 1186, 1172, 9332, 337, 269, 476, 1220, 272, 282, 476, 6795, 281, 476, 4792, 278, 1700, 277, 5038, 563, 305, 889, 344, 623, 267, 5463, 1214, 808, 269, 1215, 1131, 596, 1745, 8957, 875, 798, 596, 1589, 1352, 1131, 1745, 286, 589, 5778, 574, 1645, 1353, 540, 5133, 23824, 609, 1514, 4664, 269, 808, 595, 1758, 11671, 338, 857, 269, 476, 1220, 275, 282, 476, 1626, 281, 476, 280, 6434, 1700, 15886, 563, 298, 334, 3663, 4802, 661, 267, 5178, 810, 717, 267, 623, 2884, 337, 7236, 623, 267, 7754, 10045, 590, 267, 3400, 325, 2006, 808, 269, 634, 1909, 540, 519, 18751, 4776, 30613, 16794, 538, 1480, 17133, 269, 7186, 269, 476, 1960, 280, 282, 476, 274, 4200, 281, 476, 16825, 1700, 14681, 563, 8867, 345, 752, 11022, 267, 1215, 625, 517, 24766, 269, 700, 1681, 667, 310, 15545, 11671, 17595, 1670, 10495, 281, 10228, 2160, 4964, 282, 476, 1220, 275, 563, 1805, 1380, 667, 307, 267, 12138, 12463, 267, 4469, 31829, 667, 267, 1696, 620, 269, 26271, 566, 543, 31338, 540, 3982, 28882, 27914, 3157, 281, 15845, 689, 17122, 15087, 538, 3425, 267, 14362, 540, 28882, 27914, 1599, 269, 5507, 281, 10228, 2160, 4964, 282, 476, 1220, 273, 281, 4375, 273, 1700, 2412, 278, 563, 288, 1258, 8121, 269, 18776, 538, 10324, 1922, 4233, 1382, 281, 3245, 4247, 547, 3252, 547, 4525, 547, 5121, 269, 4354, 337, 667, 597, 5369, 565, 2233, 269, 476, 1220, 279, 282, 476, 1704, 281, 476, 14862, 1700, 15782, 563, 24154, 591, 570, 306, 267, 681, 4007, 670, 267, 16410, 324, 5633, 681, 267, 3751, 7723, 589, 269, 23398, 5778, 574, 1645, 540, 10324, 3252, 269, 18361, 540, 6198, 5778, 574, 1645, 540, 17133, 269, 476, 273, 526, 1196, 269, 11062, 267, 10790, 2475, 281, 20037, 4964, 282, 476, 1220, 277, 281, 28906, 1700, 4097, 279, 563, 302, 1777, 578, 6308, 25723, 267, 8935, 326, 615, 1399, 30250, 267, 14205, 720, 10911, 269, 634, 8849, 3060, 4493, 585, 17244, 540, 3007, 543, 10324, 1599, 538, 2101, 19591, 4524, 281, 20480, 585, 3498, 540, 519, 2564, 2068, 2203, 547, 17867, 4713, 269, 4498, 341, 4860, 24741, 269, 476, 1220, 273, 282, 476, 1015, 281, 476, 10436, 1700, 4200, 563, 307, 2131, 514, 590, 267, 595, 17026, 902, 808, 299, 269, 674, 30613, 28175, 322, 677, 673, 27090, 11387, 543, 4791, 5778, 17595, 17226, 281, 1323, 9337, 269, 808, 5369, 657, 558, 1763, 269, 476, 1220, 273, 282, 476, 7871, 281, 476, 5038, 278, 1700, 4792, 275, 563, 29409, 6308, 590, 267, 21960, 30742, 595, 267, 28822, 1601, 631, 267, 1696, 620, 269, 15445, 8647, 538, 30442, 16327, 14601, 4524, 267, 796, 13633, 4965, 267, 543, 18624, 269, 5246, 7885, 11671, 10043, 3273, 269, 476, 1220, 273, 282, 476, 1704, 281, 476, 5325, 278, 1700, 4366, 274, 563, 300, 6716, 9474, 267, 700, 559, 1329, 26709, 14298, 269, 589, 13849, 12845, 24608, 2689, 540, 519, 6935, 1063, 24431, 3469, 2623, 543, 5778, 17595, 1670, 3800, 540, 10324, 1599, 269, 7885, 5369, 565, 4860, 269, 476, 1220, 271, 282, 476, 736, 281, 476, 13647, 1700, 14444, 563, 8867, 294, 5142, 808, 267, 8709, 1234, 2131, 636, 681, 269, 634, 11671, 17595, 1670, 4856, 7758, 919, 540, 27079, 1467, 22226, 13081, 543, 2672, 20141, 29007, 269, 2052, 808, 24741, 269, 476, 1220, 277, 282, 476, 7906, 281, 476, 14530, 1700, 16318, 563, 299, 344, 22806, 657, 595, 294, 267, 25347, 4565, 3430, 589, 267, 15887, 1231, 623, 269, 1280, 326, 13516, 28882, 27914, 6794, 610, 1412, 2750, 1815, 5737, 21619, 10818, 15540, 8339, 5369, 657, 558, 18267, 269, 476, 1220, 275, 282, 476, 3393, 281, 476, 26316, 1700, 14838, 563, 21547, 17524, 534, 631, 269, 1323, 9642, 2186, 540, 21239, 281, 12267, 540, 1912, 710, 553, 717, 720, 269, 11062, 267, 10790, 2475, 281, 634, 20037, 4964, 282, 476, 1220, 271, 563, 299, 22202, 8121, 269, 634, 28882, 10981, 525, 543, 519, 7939, 540, 2623, 269, 5369, 30986, 540, 519, 28882, 10981, 525, 269, 10228, 4789, 281, 14288, 4964, 282, 476, 3192, 274, 563, 299, 22202, 8121, 267, 670, 1682, 10798, 320, 11581, 267, 2349, 1074, 990, 15382, 269, 6764, 8529, 2824, 2032, 540, 2790, 3157, 538, 7681, 609, 513, 27295, 540, 519, 28882, 27914, 269, 11671, 17595, 860, 807, 269, 476, 3422, 278, 282, 476, 276, 281, 476, 10755, 1700, 14056, 563, 299, 22202, 8121, 267, 20727, 990, 24989, 700, 309, 269, 589, 28882, 27914, 6794, 1813, 547, 513, 6147, 15842, 341, 6018, 8009, 7133, 519, 24402, 1289, 657, 636, 269, 7885, 11671, 10043, 3273, 269, 476, 3192, 280, 282, 476, 272, 281, 476, 1704, 1700, 866, 563, 8867, 345, 752, 11022, 269, 634, 1966, 540, 12570, 10324, 3252, 269, 2271, 808, 5369, 565, 269, 476, 2735, 273, 282, 476, 1704, 281, 476, 27005, 1700, 29574, 563, 291, 4428, 344, 808, 291, 267, 23720, 808, 297, 8633, 267, 590, 9994, 599, 9501, 267, 26864, 1195, 21668, 269, 13636, 4776, 30613, 25102, 27689, 281, 589, 7811, 543, 4791, 7650, 269, 634, 28882, 10981, 525, 543, 5778, 17595, 12278, 4576, 269, 1488, 28002, 267, 22622, 267, 2475, 281, 1977, 5369, 12278, 14539, 267, 5549, 5919, 476, 1220, 272, 281, 13647, 1700, 11277, 563, 293, 1074, 16998, 267, 8065, 10247, 623, 310, 267, 21244, 808, 290, 267, 1696, 620, 269, 22532, 6127, 3238, 538, 519, 4393, 540, 2518, 543, 2199, 3344, 540, 14837, 1227, 6896, 3308, 15128, 1421, 11020, 630, 14157, 269, 476, 6344, 1040, 10228, 281, 10228, 1133, 643, 4964, 267, 5291, 281, 11138, 4178, 269, 19281, 2593, 282, 476, 1960, 278, 281, 476, 10082, 280, 268, 9692, 272, 563, 301, 1408, 5459, 918, 288, 267, 18999, 2940, 14982, 14408, 267, 12275, 24170, 670, 269, 20212, 538, 519, 6198, 5778, 534, 10532, 540, 7409, 7480, 1852, 2066, 519, 2937, 1272, 12732, 269, 10017, 1299, 28544, 630, 14157, 269, 476, 1704, 1040, 6115, 267, 9823, 281, 1977, 16723, 2667, 333, 267, 5291, 281, 11138, 4178, 269, 23981, 3820, 282, 476, 1220, 273, 267, 476, 6321, 268, 10170, 563, 306, 2643, 1407, 614, 595, 25286, 267, 25538, 1676, 570, 291, 267, 700, 864, 344, 14662, 1696, 620, 269, 22732, 532, 3007, 543, 20547, 13779, 281, 535, 28122, 3800, 540, 10324, 3252, 269, 11671, 17595, 860, 807, 630, 14157, 269, 476, 6078, 1040, 24545, 281, 29021, 3163, 267, 5291, 281, 11138, 4178, 269, 12828, 22609, 2593, 282, 476, 1220, 274, 267, 476, 3374, 278, 268, 24907, 563, 10111, 28952, 15382, 267, 15651, 570, 306, 269, 769, 3031, 7480, 1852, 543, 7553, 7939, 538, 9251, 1453, 269, 595, 1758, 8061, 269, 476, 1220, 278, 282, 476, 2420, 281, 476, 4366, 280, 1700, 27944, 563, 298, 333, 565, 548, 13305, 324, 550, 329, 518, 590, 267, 670, 3578, 966, 267, 12113, 560, 331, 681, 267, 25548, 22519, 4752, 808, 289, 267, 670, 514, 2763, 4149, 601, 577, 667, 269, 5548, 599, 540, 11815, 2305, 543, 10324, 2773, 538, 2043, 609, 18624, 281, 10925, 894, 1909, 585, 4189, 2623, 543, 1560, 2597, 7939, 269, 808, 5369, 9332, 337, 1763, 269, 476, 1220, 279, 282, 476, 5655, 281, 476, 7176, 1700, 10755, 563, 300, 26196, 661, 4753, 267, 29928, 700, 295, 267, 670, 657, 773, 29273, 269, 8682, 30625, 543, 1981, 23824, 269, 22226, 1473, 1204, 5262, 518, 269, 476, 1220, 279, 282, 476, 3393, 281, 476, 14631, 1700, 14689, 563, 11675, 10440, 715, 269, 634, 28882, 27914, 31426, 540, 1558, 659, 10744, 281, 22532, 7664, 1759, 593, 519, 5042, 23798, 540, 2324, 3965, 269, 808, 335, 333, 5369, 565, 4860, 269, 476, 1220, 278, 282, 476, 2004, 281, 476, 21327, 1700, 26297, 563, 22746, 344, 962, 267, 918, 1601, 517, 26712, 269, 3557, 17466, 10324, 22907, 1851, 2618, 24403, 25476, 269, 808, 2271, 11671, 10043, 3273, 17502, 269, 476, 1220, 276, 282, 476, 1556, 281, 476, 25313, 1700, 25834, 563, 309, 2129, 338, 918, 291, 267, 13391, 2541, 3563, 16674, 267, 5576, 1889, 545, 3559, 645, 297, 267, 1696, 620, 269, 10435, 5079, 791, 4202, 7766, 1582, 20820, 281, 589, 3908, 9113, 1830, 2272, 540, 3375, 1818, 267, 1582, 30625, 267, 543, 3742, 11036, 269, 808, 6431, 17502, 5369, 565, 269, 476, 1220, 279, 282, 476, 11463, 281, 476, 6434, 274, 1700, 279, 7176, 563, 303, 657, 1676, 24696, 267, 1546, 3873, 2940, 590, 269, 5900, 30102, 5121, 269, 12367, 11671, 338, 857, 269, 476, 1960, 275, 282, 476, 1704, 281, 476, 4037, 1700, 8064, 563, 1805, 1380, 667, 307, 267, 12138, 12463, 269, 15445, 3252, 543 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 857, 269, 476, 1626, 267, 476, 3374, 279, 1700, 4391, 273, 630, 1001, 276, 1916, 273, 269, 918, 525, 11986, 267, 623, 1421, 2672, 1146, 20321, 267, 715, 1421, 590, 643, 600, 541, 3578, 328, 267, 645, 269, 590, 269, 1299, 932, 2967, 344, 553, 583, 267, 595, 269, 10020, 540, 8937, 1532, 1778, 7852, 267, 8937, 15451, 5888, 267, 543, 32714, 6304, 538, 12216, 779, 2068, 269, 5020, 2233, 269, 476, 25784, 267, 476, 14093, 277, 2767, 630, 1708, 272, 1916, 274, 269, 4144, 690, 340, 31651, 267, 631, 269, 1696, 620, 269, 634, 10020, 540, 11270, 2632, 4345, 543, 11270, 7267, 29318, 538, 519, 744, 985, 564, 543, 4273, 1833, 540, 12216, 779, 8376, 281, 589, 3590, 1738, 5623, 269, 808, 269, 7885, 269, 2405, 269, 476, 280, 267, 630, 1708, 271, 1916, 275, 269, 2142, 11770, 1735, 267, 631, 269, 589, 269, 1696, 620, 269, 11916, 543, 645, 17424, 4460, 619, 540, 11270, 2632, 4345, 543, 4256, 5948, 609, 5549, 1211, 2353, 4211, 1021, 543, 12216, 779, 8376, 1546, 10879, 538, 513, 14066, 2817, 11752, 269, 808, 269, 1325, 345, 8583, 619, 2598, 269, 808, 4696, 476, 4037, 267, 476, 14991, 1700, 15094, 630, 1708, 271, 1916, 276, 269, 670, 1690, 529, 26907, 718, 529, 267, 717, 269, 1299, 932, 822, 752, 529, 267, 570, 269, 10871, 543, 11528, 6127, 16046, 27731, 2068, 543, 12982, 32435, 885, 269, 14844, 269, 4860, 269, 16332, 565, 269, 476, 272, 1700, 1428, 630, 1708, 272, 264, 8222, 281, 1015, 269, 9818, 279, 4882, 25870, 6507, 268, 22903, 268, 21916, 6434, 268, 277, 563, 277, 269, 32201, 267, 808, 269, 631, 269, 1696, 620, 269, 5395, 636, 16384, 294, 25095, 1328, 20946, 547, 11270, 7267, 19287, 23273, 3657, 23105, 609, 5549, 1211, 12216, 8376, 269, 12813, 24382, 21450, 476, 280, 267, 630, 1001, 275, 1916, 278, 269, 12358, 4176, 267, 590, 269, 590, 269, 1696, 620, 269, 623, 6973, 344, 668, 517, 553, 31470, 2526, 529, 538, 12216, 779, 2068, 12058, 281, 15845, 585, 2068, 1757, 566, 543, 2126, 609, 1507, 2173, 1961, 9908, 20127, 269, 2233, 269, 5917, 269, 476, 276, 267, 552, 320, 879, 18357, 274, 630, 1001, 280, 1916, 279, 269, 23006, 541, 857, 267, 589, 269, 1696, 620, 269, 10395, 1441, 7245, 540, 5543, 9109, 661, 272, 543, 9067, 28845, 589, 275, 5543, 1407, 6553, 538, 513, 9597, 710, 2203, 540, 12216, 779, 2068, 269, 5890, 269, 3026, 340, 1503, 269, 476, 4968, 267, 476, 9340, 1700, 6344, 630, 1001, 279, 1916, 280, 269, 23006, 541, 857, 267, 589, 269, 1696, 620, 269, 5843, 6921, 658, 3210, 547, 8097, 1974, 2632, 4345, 538, 513, 9597, 710, 2203, 540, 12216, 779, 2068, 269, 2233, 269, 3115, 269, 476, 1015, 267, 476, 6977, 8618, 630, 1708, 271, 1916, 1015, 269, 10481, 951, 267, 667, 269, 1696, 620, 269, 634, 2126, 268, 3534, 633, 22435, 538, 1007, 268, 976, 564, 15867, 18255, 779, 2068, 269, 8426, 21118, 5843, 2041, 476, 1428, 267, 476, 4343, 273, 1700, 4375, 273, 630, 1001, 275, 1916, 1556, 2529, 577, 597, 1067, 267, 631, 269, 1696, 620, 269, 23531, 531, 543, 7843, 1602, 531, 15448, 538, 519, 28066, 5843, 6798, 727, 540, 17925, 21853, 1356, 894, 2051, 4345, 14904, 3657, 21912, 547, 8376, 6092, 269, 8426, 21118, 5843, 2041, 476, 2190, 267, 476, 7785, 268, 29637, 4318, 275, 630, 1001, 279, 1916, 1321, 269, 4263, 541, 20076, 267, 918, 269, 1696, 620, 269, 661, 551, 8084, 17091, 540, 5711, 4551, 538, 519, 16892, 11479, 8946, 272, 1591, 15632, 543, 6553, 269, 3163, 476, 3374, 279, 267, 476, 3374, 280, 1700, 18458, 630, 1001, 278, 1040, 0, 2108, 28406, 532, 519, 4544, 1606, 13607, 1540, 2892, 600, 32752, 685, 9194, 568, 4105, 267, 607, 789, 616, 606, 13525, 2249, 267, 26655, 721, 827, 519, 1072, 540, 938, 1604, 2223, 2443, 298, 987, 22220, 8361, 267, 513, 2027, 3785, 4717, 13541, 543, 2069, 11285, 585, 519, 32493, 27347, 1117, 26844, 267, 7150, 547, 634, 14086, 4750, 538, 606, 4757, 563, 23325, 1606, 13607, 1540, 2892, 600, 32752, 616, 711, 13155, 267, 855, 789, 616, 606, 13525, 2249, 602, 949, 10332, 1004, 827, 519, 5117, 269, 1358, 616, 21049, 547, 519, 4279, 20463, 2829, 267, 519, 22583, 267, 543, 13980, 540, 4516, 563, 6097, 547, 634, 6115, 5403, 267, 513, 2852, 2875, 3957, 18379, 645, 1512, 328, 729, 15747, 538, 20310, 8387, 547, 2673, 513, 6288, 4155, 538, 3057, 638, 8291, 267, 12309, 1169, 3781, 2394, 4571, 5025, 1440, 559, 547, 1683, 2922, 8574, 585, 2892, 600, 32752, 563, 288, 6712, 540, 8834, 6519, 20000, 538, 3465, 4302, 1772, 548, 5244, 568, 6806, 547, 6174, 6808, 267, 1169, 3781, 693, 476, 279, 533, 6230, 269, 689, 11728, 267, 4728, 476, 2641, 998, 4989, 476, 1789, 267, 547, 1450, 922, 1713, 2551, 540, 4544, 1606, 13607, 1540, 2892, 600, 32752, 547, 22109, 543, 16196, 9108, 269, 8307, 3723, 6808, 568, 15868, 538, 519, 1858, 563, 6097, 547, 513, 476, 1001, 280, 3621, 6268, 540, 519, 4155, 267, 476, 6110, 2892, 600, 32752, 941, 7166, 676, 26873, 1169, 1032, 607, 789, 28953, 547, 741, 9960, 22253, 689, 519, 6288, 1282, 519, 5614, 4212, 2000, 11691, 4005, 563, 5194, 1353, 8612, 602, 1175, 1614, 2892, 600, 32752, 941, 7166, 2899, 4155, 9993, 3459, 538, 476, 1708, 271, 563, 763, 2892, 600, 32752, 1152, 16196, 693, 3781, 267, 723, 3109, 2960, 267, 543, 1332, 547, 581, 1447, 982, 3670, 6279, 1279, 267, 1818, 873, 5393, 2352, 547, 5469, 585, 5179, 1235, 563, 763, 1847, 814, 8810, 865, 2442, 602, 519, 2749, 1631, 14747, 513, 968, 306, 15401, 6387, 17963, 892, 16635, 563, 306, 15401, 6387, 2914, 10248, 32751, 687, 616, 1631, 865, 11342, 538, 3057, 638, 8291, 602, 519, 2749, 814, 6074, 547, 3984, 922, 22305, 1116, 6428, 600, 6387, 17963, 713, 5614, 267, 513, 3670, 22173, 3126, 540, 2621, 602, 786, 1331, 513, 2892, 600, 6387, 1148, 4159, 543, 15211, 547, 1451, 827, 519, 27738, 262, 1604, 563, 763, 2962, 28837, 875, 21825, 5116, 4155, 5008, 999, 949, 1450, 3425, 543, 7320, 547, 1071, 4725, 527, 609, 1447, 11508, 563, 1432, 616, 707, 4555, 286, 7490, 2671, 538, 519, 8292, 269, 0, 294, 990, 785, 11831, 629, 327, 23202, 267, 5191, 25142, 543, 1101, 24505, 18328, 454, 11847, 6974, 532, 476, 3199, 540, 519, 700, 758, 17939, 3873, 779, 476, 276, 6246, 16295, 543, 513, 476, 29889, 2173, 1897, 13909, 267, 31579, 541, 21423, 267, 609, 922, 811, 982, 476, 1428, 2929, 17037, 267, 568, 3127, 779, 1034, 20833, 1271, 1533, 269, 4595, 5130, 476, 1839, 267, 476, 4198, 271, 267, 950, 519, 2136, 28393, 806, 729, 26948, 31579, 541, 21423, 267, 519, 1533, 1107, 998, 476, 1704, 13909, 12836, 1107, 814, 5462, 519, 1576, 540, 3084, 6214, 267, 22745, 513, 1850, 542, 540, 26106, 342, 11301, 267, 26110, 538, 6205, 543, 6305, 26110, 269, 1717, 267, 540, 1010, 476, 2641, 595, 16039, 267, 1152, 962, 690, 328, 1520, 640, 534, 987, 267, 13019, 327, 3796, 327, 962, 611, 822, 543, 2904, 1177, 10620, 723, 6192, 513, 2407, 2947, 4458, 2165, 267, 10452, 519, 7920, 25359, 540, 1010, 6214, 269, 4746, 538, 519, 2039, 540, 519, 595, 16039, 568, 519, 5168, 827, 519, 1533, 22634, 4834, 269, 14210, 540, 1010, 476, 2641, 595, 16039, 723, 1044, 23347, 332, 1231, 610, 774, 752, 2720, 269, 634, 1866, 1331, 1614, 962, 611, 822, 338, 267, 1614, 645, 8643, 344, 553, 267, 835, 700, 617, 327, 267, 835, 808, 520, 267, 835, 28270, 553, 628, 267, 835, 18243, 527, 543, 835, 590, 785, 6062, 269, 589, 3126, 593, 519, 1686, 543, 2797, 2242, 540, 24505, 998, 922, 595, 16039, 563, 2026, 11788, 10579, 540, 31579, 541, 21423, 267, 29583, 785, 11831, 629, 327, 23202, 267, 513, 30361, 540, 6837, 543, 513, 3056, 4137, 538, 3127, 779, 5191, 3350, 267, 568, 20295, 609, 3246, 7123, 2229, 543, 4180, 18497, 10103, 538, 519, 1533, 538, 519, 1296, 1739, 7115, 950, 15231, 2829, 899, 23570, 543, 4437, 9618, 941, 538, 519, 31462, 525, 540, 18497, 1476, 25419, 1674, 563, 14367, 2229, 8045, 519, 9086, 13373, 5109, 519, 1533, 779, 1990, 600, 785, 926, 1062, 1510, 6849, 513, 1713, 1394, 31988, 689, 9937, 540, 5215, 540, 1990, 600, 785, 1513, 563, 5475, 7115, 267, 23202, 7153, 607, 513, 2067, 3903, 607, 24505, 18328, 607, 646, 1185, 2907, 12199, 519, 1533, 2094, 476, 3707, 277, 543, 4505, 689, 476, 4350, 278, 547, 476, 4350, 280, 630, 553, 20031, 1512, 540, 519, 2136, 28393, 806, 693, 519, 942, 267, 945, 729, 26948, 31579, 541, 21423, 593, 476, 1839, 5130, 476, 4198, 271, 1916, 17812, 816, 1308, 5718, 4956, 602, 23202, 1058, 3136, 607, 24505, 18328, 1256, 1310, 519, 1101, 1533, 10198, 3440, 1824, 538, 476, 4198, 273, 267, 799, 941, 25626, 2476, 676, 519, 5428, 269, 1261, 4465, 538, 519, 645, 732, 11035, 27391, 1275, 14218, 1890, 267, 25588, 13225, 691, 31843, 3967, 5842, 724, 630, 289, 297, 306, 264, 11134, 2494, 332, 2129, 534, 700, 531, 4569, 584, 269, 634, 24505, 13909, 1287, 1185, 476, 31003, 16295, 267, 799, 3238, 476, 28091, 2582, 2173, 1897, 14218, 4293, 543, 476, 10695, 12242, 14218, 4293, 538, 1840, 547, 835, 9930, 3990, 10160, 269, 634, 6837, 4465, 476, 4343, 279, 16295, 267, 519, 31012, 9549, 476, 736, 267, 519, 645, 297, 306, 476, 273, 267, 1519, 476, 1428, 585, 4830, 10457, 543, 513, 1906, 1866, 563, 4002, 4728, 476, 1691, 267, 476, 4198, 273, 267, 23202, 9307, 547, 519, 13909, 281, 968, 2171, 786, 581, 2111, 547, 2936, 519, 2098, 600, 785, 926, 589, 2513, 819, 2920, 269, 901, 786, 1863, 519, 6705, 689, 2804, 543, 32540, 6125, 720, 543, 2285, 873, 1582, 9113, 1051, 269, 2991, 519, 9550, 267, 950, 1287, 8566, 4261, 528, 24605, 3525, 328, 9619, 519, 1101, 9361, 540, 519, 9241, 27648, 13909, 593, 2904, 476, 2641, 267, 476, 4198, 273, 267, 1034, 540, 1010, 4633, 729, 13991, 547, 15024, 971, 607, 519, 20552, 540, 2098, 600, 785, 926, 267, 799, 267, 5293, 676, 519, 954, 574, 23202, 2229, 4505, 267, 729, 8045, 538, 5147, 476, 4198, 273, 269, 13536, 267, 519, 24505, 3117, 24537, 540, 15579, 902, 2920, 267, 476, 4198, 274, 729, 849, 8045, 689, 476, 4198, 275, 563, 4322, 4031, 941, 2808, 968, 516, 23728, 776, 892, 585, 6705, 538, 519, 24505, 267, 1256, 1498, 789, 941, 8045, 1510, 1713, 1514, 19727, 269, 14076, 320, 966, 790, 526, 571, 20961, 540, 17833, 7032, 267, 945, 729, 1287, 606, 12463, 585, 519, 24505, 16217, 10937, 5428, 267, 5143, 519, 10198, 281, 968, 296, 729, 849, 835, 540, 519, 1990, 600, 785, 1513, 7255, 269, 1284, 723, 11124, 2804, 9271, 269, 1809, 649, 941, 14980, 1317, 540, 23202, 795, 328, 779, 1434, 2623, 267, 11587, 543, 2184, 8864, 563, 763, 23202, 2229, 849, 5293, 519, 9699, 8943, 9291, 543, 1500, 1395, 690, 18081, 25471, 585, 9699, 2367, 1247, 26587, 9699, 2021, 519, 1318, 547, 16028, 543, 27836, 18577, 3959, 563, 29820, 593, 5181, 476, 1015, 267, 476, 6642, 278, 538, 10609, 334, 2632, 8498, 538, 31471, 7702, 8664, 267, 23202, 6594, 1876, 693, 16589, 21171, 2160, 543, 2968, 513, 7986, 15818, 538, 715, 664, 1388, 543, 918, 553, 1222, 584, 1354, 11836, 6214, 269, 1261, 729, 7722, 538, 21621, 6214, 543, 7930, 6410, 6251, 547, 519, 1283, 3401, 540, 519, 4095, 2817, 6837, 8015, 519, 5191, 3350, 269, 1261, 729, 12912, 28579, 540, 519, 24505, 6837, 9730, 538, 476, 4572, 278, 269, 13536, 646, 849, 2968, 513, 4759, 540, 519, 4790, 15856, 550, 13909, 563, 4002, 5130, 476, 274, 267, 476, 4198, 276, 267, 23202, 729, 1572, 547, 16156, 676, 1287, 11788, 10579, 26836, 1695, 22611, 531, 3026, 327, 745, 547, 581, 2220, 1941, 538, 607, 5742, 10579, 1510, 5800, 12859, 269, 589, 3018, 2663, 267, 646, 729, 12912, 10579, 540, 519, 25181, 269, 1261, 729, 7466, 11221, 547, 519, 14076, 5984, 17939, 3873, 269, 769, 476, 4198, 278, 267, 646, 729, 24705, 1042, 609, 519, 32038, 520, 13158, 3534, 1107, 519, 1152, 24505, 18328, 547, 723, 4607, 519, 2197, 779, 5207, 19742, 8956, 865, 2484, 269, 1261, 729, 1287, 5742, 5851, 14199, 563, 303, 656, 10150, 11999, 1967, 1851, 519, 13999, 540, 519, 1533, 543, 729, 25343, 676, 519, 3401, 540, 519, 6837, 543, 11685, 6105, 269, 3571, 2229, 1185, 1896, 16529, 3401, 971, 607, 932, 7596, 327, 776, 4077, 534, 19453, 267, 21919 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 1262, 17345, 5149, 281, 4197, 595, 839, 11208, 543, 13405, 10163, 571, 842, 4373, 5331, 596, 5206, 513, 1650, 827, 707, 4832, 16314, 543, 4941, 547, 2671, 621, 609, 782, 707, 2828, 693, 1153, 269, 1411, 3142, 12215, 540, 707, 1650, 547, 1362, 543, 1376, 8429, 873, 856, 1282, 12899, 5503, 269, 22582, 267, 519, 9030, 15211, 883, 519, 22538, 2678, 807, 267, 3217, 2476, 782, 519, 2984, 267, 543, 6645, 596, 602, 596, 666, 1406, 15814, 873, 1317, 789, 10093, 1406, 1044, 9516, 1101, 269, 901, 3510, 1522, 3280, 15490, 267, 1318, 286, 1809, 1705, 596, 917, 1945, 2147, 4523, 538, 1483, 1272, 609, 1344, 267, 3377, 267, 543, 1256, 8369, 3838, 2228, 286, 2334, 779, 1018, 649, 1289, 24890, 780, 1262, 1432, 568, 595, 839, 11208, 15140, 290, 839, 11208, 1797, 9013, 610, 17527, 1569, 547, 1978, 2010, 540, 1344, 269, 22749, 1419, 946, 24890, 547, 2061, 741, 4961, 689, 7487, 1919, 789, 1810, 1406, 1616, 873, 547, 917, 269, 6884, 267, 4357, 3549, 849, 2259, 24890, 1765, 3697, 1514, 2923, 5867, 9427, 9708, 610, 7044, 602, 979, 1996, 741, 3652, 780, 3086, 1577, 779, 2911, 827, 2608, 335, 1874, 27047, 842, 29688, 5994, 952, 519, 9030, 1767, 596, 7948, 1406, 1780, 856, 707, 1650, 2394, 789, 1224, 621, 25656, 543, 4956, 2436, 621, 1223, 581, 3838, 610, 711, 269, 2334, 1131, 581, 1991, 27047, 842, 1107, 16069, 2576, 689, 4687, 1344, 1354, 789, 2965, 2671, 621, 269, 13405, 27047, 842, 568, 2808, 811, 3978, 982, 2834, 24890, 2094, 621, 11151, 1863, 4082, 15587, 780, 1262, 3963, 9701, 1284, 5516, 6168, 595, 839, 11208, 543, 13405, 10163, 571, 842, 15140, 26466, 4520, 540, 4633, 543, 4082, 568, 1898, 585, 1022, 11180, 2486, 269, 1879, 972, 568, 1932, 1454, 24890, 610, 1991, 27047, 842, 267, 1004, 949, 711, 1451, 1271, 5013, 267, 5873, 3309, 5380, 267, 610, 723, 1930, 5717, 269, 1306, 3743, 3059, 4961, 267, 621, 779, 2629, 547, 1174, 891, 2035, 865, 602, 649, 666, 7119, 24617, 538, 7391, 8345, 1472, 721, 780, 4131, 779, 1589, 827, 938, 4505, 1383, 1586, 269, 1403, 707, 9030, 1031, 1991, 27047, 842, 547, 3247, 596, 689, 26084, 707, 1650, 267, 9327, 1406, 602, 3970, 707, 4960, 547, 2769, 3054, 21176, 286, 6684, 267, 7050, 22257, 610, 9746, 9993, 593, 2228, 1543, 17225, 6209, 15377, 1851, 2043, 945, 3180, 1585, 4978, 780, 1262, 1692, 6496, 595, 839, 11208, 18748, 2974, 4653, 15140, 9213, 267, 2029, 2636, 721, 547, 8532, 543, 2671, 5318, 5666, 540, 1344, 3533, 269, 1717, 267, 713, 13418, 2501, 609, 2591, 971, 607, 25749, 543, 5739, 1543, 269, 1677, 2232, 891, 2152, 267, 930, 8044, 585, 31749, 6042, 899, 1346, 2938, 538, 3624, 267, 799, 17401, 8060, 4950, 6165, 1369, 922, 10665, 269, 31379, 5855, 267, 1498, 267, 602, 971, 3800, 949, 1291, 547, 7938, 1551, 5896, 7687, 593, 5191, 540, 4633, 543, 4082, 780, 2690, 3236, 267, 2015, 3871, 1141, 10509, 23766, 4894, 11786, 7044, 23345, 676, 3755, 269, 2755, 789, 2832, 547, 2149, 13588, 689, 5732, 5906, 610, 7301, 1543, 267, 3257, 865, 3006, 588, 604, 956, 2635, 9840, 543, 1225, 339, 5661, 4244, 2798, 540, 2070, 269, 1924, 267, 4466, 513, 3666, 1063, 4509, 1931, 543, 17420, 1367, 2924, 3587, 4105, 780, 1262, 6962, 4373, 8139, 24890, 543, 1991, 27047, 842, 786, 948, 596, 5660, 519, 2956, 540, 1863, 4082, 538, 5009, 1565, 267, 5807, 5876, 267, 543, 14637, 2565, 3206, 1983, 269, 1635, 1373, 3222, 540, 875, 891, 2035, 7500, 538, 2221, 781, 1158, 267, 596, 3513, 1831, 1732, 9280, 547, 6330, 1950, 3584, 543, 4497, 31635, 609, 18312, 8369, 269, 5457, 267, 3025, 19262, 519, 4316, 547, 3717, 11884, 1247, 6236, 1866, 262, 8171, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 2026, 519, 13044, 268, 866, 6433, 22264, 267, 24890, 3292, 4434, 267, 8015, 7125, 585, 3624, 16654, 1852, 540, 519, 5769, 454, 763, 3220, 338, 269, 8355, 661, 9581, 517, 543, 3203, 514, 7136, 1695, 328, 3381, 1185, 936, 476, 276, 267, 1822, 267, 1822, 5784, 538, 476, 274, 2395, 950, 621, 729, 3144, 1524, 676, 519, 5411, 540, 13334, 734, 630, 2254, 834, 5327, 335, 659, 17010, 257, 8513, 267, 855, 11141, 1040, 634, 8292, 3296, 729, 4904, 609, 4277, 4901, 630, 296, 9364, 2161, 607, 1082, 1996, 607, 585, 267, 855, 594, 4769, 1405, 1293, 1040, 898, 5795, 1004, 513, 1857, 12106, 269, 634, 1448, 676, 1448, 771, 7611, 540, 519, 7189, 262, 6881, 676, 1082, 6085, 619, 9450, 1620, 269, 3509, 540, 519, 6085, 619, 3177, 1201, 16615, 543, 1239, 2079, 269, 14171, 519, 6881, 1524, 8694, 519, 4901, 563, 763, 19060, 547, 524, 16428, 568, 31604, 269, 2311, 2547, 519, 661, 9581, 517, 543, 7136, 1695, 328, 3381, 3177, 630, 1721, 513, 5618, 1906, 2395, 264, 513, 8468, 1141, 1004, 540, 1114, 16752, 7722, 1142, 824, 563, 10498, 267, 20917, 267, 6068, 596, 585, 1296, 267, 855, 713, 835, 3893, 803, 547, 11522, 909, 519, 1269, 2412, 20478, 1862, 20365, 2702, 547, 1294, 5693, 9624, 713, 1202, 534, 640, 649, 616, 538, 568, 1312, 4686, 543, 17170, 269, 11289, 18222, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 623, 27773, 13316, 1315, 595, 839, 11208, 1315, 13405, 10163, 571, 842, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 8702, 547, 606, 3078, 1158, 1141, 2029, 10742, 6683, 256, 4653, 649, 2811, 2469, 547, 1451, 827, 875, 3375, 1489, 1949, 1210, 5841, 4987, 666, 948, 1832, 14742, 10760, 9108, 267, 855, 1810, 1405, 5855, 267, 649, 786, 849, 1294, 875, 713, 10039, 547, 8105, 780, 5331, 952, 707, 4116, 1185, 513, 9059, 12627, 3440, 602, 1223, 2995, 873, 950, 1945, 1522, 2736, 538, 519, 4928, 1354, 621, 1256, 4523, 1107, 899, 6616, 4010, 950, 519, 15513, 32260, 518, 786, 25888, 610, 519, 8279, 1522, 31300, 518, 269, 2334, 1259, 267, 789, 1223, 4368, 891, 2370, 2042, 1354, 789, 5828, 883, 8273, 3283, 269, 901, 1523, 568, 2147, 547, 1018, 4966, 1289, 834, 335, 9438, 633, 5826, 2437, 543, 621, 781, 4657, 875, 1004, 1491, 1416, 540, 1919, 538, 1082, 1114, 4610, 267, 1519, 27858, 543, 11396, 2439, 21080, 30350, 5826, 568, 513, 1950, 2816, 5473, 6266, 540, 2694, 543, 3157, 269, 4658, 945, 960, 593, 27858, 991, 547, 917, 3388, 827, 1142, 1062, 543, 5057, 547, 3713, 1022, 2152, 2038, 269, 1358, 1246, 7453, 3652, 1305, 676, 18229, 4441, 547, 8430, 2638, 5725, 543, 18203, 865, 602, 519, 7077, 13978, 6325, 543, 2922, 585, 3025, 593, 4580, 269, 2060, 519, 948, 540, 4359, 4066, 971, 607, 8262, 4578, 24630, 543, 3642, 267, 7114, 1761, 2042, 814, 1831, 811, 5730, 982, 2479, 2439, 25369, 11106, 630, 9590, 1070, 1175, 899, 519, 2012, 5267, 267, 616, 2706, 5100, 2645, 2966, 547, 4194, 2352, 4247, 267, 3592, 607, 952, 789, 941, 9800, 256, 1452, 9589, 948, 619, 5659, 5318, 5666, 540, 1344, 3533, 267, 5431, 3270, 267, 543, 946, 741, 4681, 547, 2097, 909, 609, 3435, 269, 1280, 1383, 267, 4952, 3843, 547, 1265, 513, 1880, 1433, 538, 513, 5399, 5627, 6634, 540, 2835, 910, 3833, 4101, 267, 1318, 286, 1809, 606, 3642, 1907, 1131, 30089, 998, 713, 4305, 538, 1100, 942, 693, 782, 2439, 3086, 1577, 779, 4019, 713, 2856, 547, 938, 16762, 5826, 1383, 269, 1635, 11018, 1239, 689, 3875, 2959, 899, 8596, 8704, 1369, 606, 8484, 2599, 267, 3642, 3292, 1184, 3140, 543, 1483, 6066, 7194, 547, 1174, 3339, 2623, 269, 3973, 267, 8164, 4376, 8966, 4386, 267, 971, 607, 2837, 2242, 610, 19089, 2157, 8375, 3564, 6788, 267, 519, 3642, 17514, 621, 607, 513, 2009, 3390, 8506, 3007, 269, 30474, 3579, 267, 26001, 2496, 3383, 875, 1281, 713, 9305, 547, 6683, 543, 3375, 1489, 1949, 286, 4270, 267, 6705, 3068, 2147, 2591, 1247, 4509, 741, 3484, 3937, 543, 6472, 269, 3807, 1589, 827, 5458, 8778, 832, 610, 9192, 3771, 1407, 1562, 2324, 1554, 543, 3781, 1282, 7556, 4005, 269, 1403, 835, 9397, 1524, 30122, 267, 10475, 942, 3478, 7031, 856, 540, 519, 4610, 949, 581, 4503, 269, 1677, 10994, 713, 1966, 267, 8030, 1628, 2027, 667, 7704, 5867, 13324, 676, 3642, 585, 6694, 3156, 269, 26478, 4324, 689, 2348, 4274, 5796, 11593, 2139, 267, 4543, 873, 2226, 741, 12227, 3927, 1759, 593, 4977, 11236, 543, 7840, 780, 1103, 5758, 267, 5841, 4987, 4249, 513, 1713, 1909, 538, 5355, 3375, 6194, 2066, 2789, 6080, 269, 6787, 621, 781, 5329, 14742, 10760, 12347, 610, 21528, 6705, 609, 5883, 741, 3407, 2200, 7561, 267, 3642, 2337, 4648, 3251, 6619, 540, 519, 7455, 676, 3246, 2629, 4030, 6508, 689, 7421, 7372, 9424, 540, 1239, 269, 1924, 1985, 942, 596, 5577, 5196, 513, 7077, 610, 3643, 513, 2413, 3484, 267, 3314, 972, 781, 930, 7168, 5863, 2029, 2182, 693, 960, 3297, 519, 10207, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 21104, 725, 540, 10724, 4804, 538, 589, 7878, 20904, 454, 288, 7878, 5826, 568, 606, 27763, 23499, 2361, 799, 14122, 7347, 1374, 543, 11938, 540, 3573, 5826, 4238, 543, 5773, 282, 21214, 519, 13337, 8446, 267, 7020, 543, 6439, 2305, 267, 543, 936, 3873, 30389, 267, 7816, 610, 14842, 540, 8484, 1949, 267, 1016, 17882, 338, 267, 543, 3334, 267, 607, 1134, 607, 519, 20319, 585, 1585, 5826, 4238, 267, 538, 10220, 609, 519, 18229, 4441, 282, 538, 1931, 547, 3589, 267, 840, 268, 3319, 543, 2061, 14286, 543, 3976, 2327, 519, 31934, 10727, 540, 8484, 269, 25790, 538, 8262, 4578, 24630, 630, 289, 6395, 264, 543, 5841, 4987, 2553, 723, 19117, 16762, 5826, 4238, 269, 21023, 633, 5826, 568, 1818, 2462, 26058, 538, 519, 23825, 5823, 10483, 676, 513, 3099, 540, 1322, 333, 8251, 1072, 2359, 3681, 269, 14464, 4987, 6620, 723, 5063, 1044, 14916, 4294, 547, 11126, 8484, 5826, 1949, 543, 4238, 269, 11153, 3173, 18222, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 570, 22379, 1299, 22957, 1315, 11982, 1315, 4937, 1315, 17423, 8081, 7010, 630, 291, 7704, 264, 585, 11982, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 2878, 17345, 5149, 281, 31327, 20514, 910, 2871, 4575, 2659, 28438, 538, 3203, 4373, 5970, 596, 2479, 6743, 693, 513, 8523, 543, 5433, 6537, 547, 513, 1880, 5544, 286, 2107, 6148, 596, 4312, 25343, 513, 4190, 7206, 855, 7948, 1405, 948, 5469, 875, 707, 4064, 941, 9900, 11461, 998, 519, 11247, 269, 901, 3884, 1405, 1175, 14626, 2064, 282, 5159, 946, 2027, 2553, 547, 1291, 938, 4064, 543, 2995, 3308, 2984, 269, 2290, 971, 4480, 568, 1572, 834, 18490, 3515, 2437, 799, 2337, 3391, 13588, 262, 1445, 2509, 1808, 2127, 1369, 513, 5888, 269, 2913, 781, 4685, 883, 1620, 3056, 3515, 543, 1294, 875, 789, 4012, 1227, 3337, 1148, 4773, 2439, 1262, 1432, 3657, 31327, 20514, 15140, 5331, 6972, 2059, 513, 23090, 13374, 11303, 676, 4054, 543, 5810, 269, 1306, 596, 1246, 519, 1225, 11803, 13009, 267, 707, 4064, 1832, 3001, 4464, 267, 2921, 538, 782, 519, 5898, 1472, 596, 269, 3807, 899, 602, 13374, 267, 3056, 3515, 538, 26620, 4196, 607, 10274, 585, 938, 4064, 267, 5705, 569, 562, 644, 3101, 721, 547, 1847, 2066, 519, 3239, 269, 1452, 3515, 1223, 2408, 607, 9897, 267, 31966, 267, 8933, 267, 9343, 540, 3615, 267, 610, 1256, 3270, 538, 2470, 1107, 4376, 602, 5932, 513, 2631, 540, 4287, 780, 265, 7078, 942, 256, 265, 5994, 3168, 693, 513, 4605, 1141, 972 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 3237, 540, 519, 1053, 5697, 269, 14268, 786, 4309, 513, 2407, 7778, 540, 519, 5773, 585, 8446, 267, 606, 7778, 540, 519, 1184, 547, 14827, 513, 2875, 689, 519, 1982, 267, 519, 1344, 593, 519, 8664, 781, 1982, 267, 543, 519, 3681, 602, 616, 2139, 547, 4857, 1053, 563, 268, 5136, 1555, 15366, 10479, 547, 1747, 4857, 1053, 538, 519, 1982, 1354, 1022, 2027, 2533, 543, 3292, 616, 3177, 547, 519, 2875, 563, 31088, 585, 2561, 7002, 454, 29261, 270, 31384, 2103, 723, 519, 1318, 547, 9029, 519, 3818, 16162, 9918, 5542, 12233, 779, 3375, 269, 15706, 13267, 519, 12233, 779, 3375, 1590, 10505, 513, 6192, 22587, 1106, 610, 4484, 31392, 2689, 540, 519, 5542, 270, 10293, 3375, 269, 634, 2854, 7662, 1590, 1331, 4128, 585, 519, 9029, 543, 267, 547, 1489, 556, 4621, 573, 3130, 267, 1683, 3606, 2963, 540, 3648, 4359, 5042, 610, 4081, 2157, 543, 5924, 14222, 7214, 267, 4081, 267, 610, 3860, 5759, 563, 763, 9029, 7662, 543, 5885, 2963, 1590, 581, 11643, 547, 519, 9752, 543, 4804, 7896, 4972, 1369, 476, 1015, 1153, 2395, 540, 519, 3818, 16162, 9918, 5542, 12233, 779, 3375, 31015, 563, 763, 8664, 779, 3818, 16162, 9918, 5542, 12233, 786, 2689, 519, 2875, 779, 3758, 267, 4879, 9043, 1239, 267, 543, 3606, 2963, 3177, 538, 519, 7662, 585, 9029, 563, 763, 3375, 540, 519, 12233, 949, 1331, 912, 308, 874, 13783, 519, 3312, 3375, 540, 519, 3818, 16162, 9918, 5542, 12233, 282, 610, 454, 3725, 951, 532, 519, 3375, 540, 519, 3818, 16162, 9918, 5542, 12233, 563, 288, 3375, 786, 581, 1500, 676, 519, 3818, 16162, 9918, 5542, 12233, 1369, 476, 1789, 1153, 2395, 1310, 2256, 18967, 540, 519, 2854, 7662, 585, 556, 4621, 573, 3130, 269, 634, 2385, 270, 31384, 1014, 786, 581, 711, 1881, 540, 519, 3375, 538, 1603, 269, 634, 3375, 540, 519, 12233, 568, 3803, 563, 26796, 519, 7662, 540, 513, 4116, 610, 513, 3810, 5827, 1982, 23070, 267, 519, 8664, 949, 20006, 519, 14827, 1184, 585, 1053, 945, 1100, 3476, 6542, 513, 991, 585, 3810, 5827, 1982, 2533, 269, 634, 3818, 16162, 9918, 5542, 12233, 786, 7036, 324, 513, 5870, 547, 2689, 519, 2875, 779, 9043, 547, 3313, 952, 519, 2875, 4018, 5809, 585, 1982, 2533, 1759, 593, 4879, 1239, 543, 5542, 7355, 269, 634, 3818, 16162, 9918, 5542, 12233, 949, 7662, 3606, 2963, 540, 2875, 7207, 543, 5924, 18515, 547, 7119, 538, 519, 1982, 269, 1403, 519, 12233, 11887, 602, 519, 2875, 1100, 3476, 4018, 5809, 585, 3810, 5827, 1982, 2533, 267, 621, 949, 581, 5227, 602, 519, 2875, 581, 608, 1243, 689, 519, 1982, 269, 634, 8664, 786, 711, 1518, 519, 2385, 270, 31384, 1014, 538, 1603, 540, 519, 12233, 779, 3375, 543, 540, 519, 9029, 1184, 563, 288, 2385, 270, 31384, 1014, 949, 7662, 547, 11198, 519, 2875, 689, 519, 1982, 610, 513, 2875, 949, 32380, 11198, 689, 519, 1982, 269, 589, 5870, 786, 581, 7036, 539, 676, 519, 3810, 5827, 1982, 4717, 13541, 7933, 1311, 528, 547, 1865, 519, 7662, 269, 1403, 519, 2385, 270, 31384, 1014, 13821, 547, 11198, 519, 2875, 689, 519, 1982, 267, 519, 8664, 786, 14827, 519, 2875, 689, 519, 1982, 269, 634, 3818, 16162, 9918, 5542, 12233, 786, 3313, 952, 8446, 5773, 616, 2556, 585, 1053, 530, 5109, 547, 556, 10938, 519, 1982, 538, 519, 2104, 563, 763, 8664, 786, 1118, 513, 3099, 540, 3617, 1982, 2533, 2139, 547, 1053, 945, 7119, 538, 519, 1982, 563, 5629, 2533, 616, 3323, 267, 519, 8664, 786, 1683, 513, 27795, 540, 2533, 547, 4857, 1053, 538, 9344, 918, 268, 1321, 269, 634, 8664, 8039, 2533, 1142, 21249, 2165, 585, 1142, 2875, 547, 2327, 602, 519, 2533, 616, 3617, 563, 763, 8664, 786, 2709, 3810, 5827, 1053, 519, 1739, 3292, 912, 268, 769, 9656, 998, 3446, 476, 274, 267, 519, 2115, 540, 3810, 5827, 1053, 616, 1558, 998, 15285, 543, 1367, 1436, 538, 519, 2489, 2069, 4928, 563, 268, 769, 9344, 476, 275, 268, 276, 267, 519, 2115, 540, 3810, 5827, 1053, 616, 1558, 998, 21630, 6044, 538, 519, 2489, 2069, 4928, 543, 5924, 13307, 538, 513, 2407, 942, 3810, 5827, 1982, 563, 268, 769, 9344, 476, 277, 268, 1321, 267, 519, 2115, 540, 3810, 5827, 1053, 616, 1558, 998, 21630, 6044, 538, 519, 2489, 2069, 4928, 267, 1641, 543, 5924, 3446, 10231, 267, 543, 4101, 1576, 13307, 269, 16930, 13508, 1489, 786, 581, 2139, 585, 4857, 3810, 5827, 1053, 538, 8939, 14013, 4101, 6030, 269, 32680, 5491, 3255, 2139, 547, 1053, 1331, 11628, 9255, 618, 267, 19396, 543, 14502, 4065, 267, 5441, 538, 519, 4400, 3427, 267, 543, 26121, 3399, 563, 15275, 1881, 1053, 786, 581, 8655, 519, 3617, 18043, 4065, 4578, 543, 3194, 3590, 630, 290, 3633, 12678, 264, 717, 26661, 1871, 4433, 264, 538, 519, 8664, 779, 2875, 1344, 1062, 585, 1439, 6361, 4458, 8989, 2238, 563, 763, 2706, 23734, 550, 610, 1374, 2465, 786, 1683, 606, 1439, 6361, 7308, 4458, 1867, 547, 519, 8433, 540, 8111, 23734, 550, 540, 5398, 19019, 630, 5308, 18444, 1070, 799, 2882, 912, 268, 634, 1297, 540, 1053, 6039, 676, 3446, 1377, 918, 268, 1321, 3248, 268, 9906, 15295, 1344, 3248, 268, 4578, 547, 3313, 952, 1053, 945, 616, 3810, 5827, 1558, 519, 3853, 1305, 543, 952, 519, 3292, 3177, 1558, 519, 4081, 2115, 540, 891, 1053, 3248, 763, 1297, 543, 1543, 540, 3318, 1646, 2238, 3177, 585, 2027, 3610, 543, 2489, 2069, 5234, 3248, 25284, 6268, 1239, 543, 267, 952, 2877, 267, 1982, 2242, 602, 786, 581, 1500, 1759, 2390, 713, 1344, 563, 3725, 14876, 281, 476, 280, 270, 280, 270, 5400, 282, 476, 279, 270, 2918, 270, 1691, 282, 476, 280, 270, 1724, 270, 2420, 0, 24092, 1242, 4255, 616, 513, 3126, 540, 10526, 13950, 12422, 676, 1857, 3506, 538, 519, 2136, 2276, 538, 1931, 547, 2268, 543, 3950, 1702, 602, 513, 2875, 814, 9715, 1282, 513, 1153, 1032, 267, 538, 824, 1913, 267, 741, 4081, 1646, 269, 4569, 543, 2296, 5678, 8551, 630, 5085, 288, 264, 616, 7318, 538, 476, 274, 6113, 998, 476, 279, 628, 3446, 543, 693, 2547, 2899, 1282, 1164, 1153, 269, 2755, 972, 616, 824, 1983, 602, 616, 7318, 1282, 930, 3446, 2157, 267, 4569, 267, 661, 6369, 267, 543, 3163, 616, 519, 1034, 4749, 7318, 4295, 1543, 2127, 269, 9208, 1242, 4152, 568, 2838, 676, 5313, 1876, 543, 2708, 2436, 610, 711, 1053, 616, 5870, 519, 24441, 4441, 585, 1346, 5396, 267, 799, 723, 1044, 1759, 1055, 540, 519, 5871, 11759, 11036, 2094, 476, 1001, 271, 563, 5278, 8466, 12700, 6168, 3557, 13281, 454, 2080, 616, 930, 4277, 5013, 827, 1533, 4152, 1282, 1686, 563, 268, 3557, 13281, 814, 1044, 513, 851, 540, 519, 1977, 2069, 1062, 2094, 519, 476, 5197, 271, 338, 563, 268, 14066, 1790, 641, 1637, 1533, 4152, 3459, 538, 519, 476, 3192, 271, 338, 543, 476, 2735, 271, 338, 267, 950, 519, 2136, 2276, 3323, 547, 2708, 25422, 563, 268, 769, 476, 1001, 273, 267, 519, 5993, 7836, 593, 10526, 729, 1269, 2767, 829, 2875, 18121, 5780, 280, 2929, 2949, 1040, 26451, 11889, 3790, 267, 519, 1942, 829, 2875, 29860, 547, 1269, 8099, 271, 563, 268, 634, 16504, 543, 18520, 4065, 2920, 540, 476, 3422, 276, 1500, 13387, 4152, 513, 10421, 538, 1857, 3506, 563, 268, 634, 2475, 5398, 4521, 476, 13040, 268, 8099, 267, 849, 1634, 607, 519, 3143, 4132, 19382, 19992, 630, 10998, 299, 289, 264, 2920, 540, 476, 1220, 272, 267, 13615, 1857, 1153, 7616, 547, 13387, 4152, 267, 2164, 593, 519, 4255, 941, 1031, 547, 21138, 7482, 543, 2200, 547, 3506, 563, 268, 634, 5272, 9906, 590, 1075, 12923, 2920, 267, 9896, 883, 1876, 676, 5518, 4446, 871, 15525, 593, 5412, 476, 1015, 267, 476, 1001, 276, 267, 729, 2813, 547, 2417, 1450, 2875, 9740, 543, 1967, 269, 901, 957, 568, 4867, 1869, 519, 1876, 540, 519, 2244, 543, 10274, 782, 602, 649, 798, 563, 10743, 543, 24110, 454, 2691, 649, 1589, 827, 9344, 649, 8850, 1589, 827, 10467, 543, 4255, 1282, 1153, 267, 1867, 6486, 543, 938, 3803, 21496, 9344, 267, 855, 21249, 568, 10876, 1472, 721, 269, 24110, 948, 721, 5635, 606, 7164, 1267, 1996, 513, 13387, 23988, 269, 1358, 948, 7855, 1294, 693, 1018, 1377, 513, 2875, 568, 7900, 543, 1018, 1983, 949, 991, 556, 974, 2286, 610, 1489, 563, 288, 1434, 1383, 540, 713, 568, 950, 3237, 1491, 741, 4816, 547, 519, 4387, 269, 634, 4387, 27786, 513, 4816, 779, 1072, 1759, 593, 513, 13387, 23988, 610, 1305, 540, 7355, 269, 901, 2337, 519, 4387, 543, 519, 3237, 1174, 875, 519, 4816, 568, 3257, 3379, 547, 824, 9002, 269, 9453, 513, 13387, 23988, 519, 4387, 666, 1152, 8263, 602, 519, 4816, 568, 3384, 1134, 1759, 593, 1018, 646, 666, 1294, 563, 763, 1533, 6272, 10526, 547, 3927, 2268, 2875, 9740, 543, 2208, 538, 2474, 540, 1142, 3044, 269, 1358, 1287, 1305, 2759, 8464, 543, 946, 873, 547, 5031, 875, 3927, 3506, 616, 4051, 532, 741, 1053, 543, 875, 602, 20383, 547, 519, 4441, 563, 19119, 540, 3557, 13281, 585, 12140, 543, 5940, 12230, 454, 3674, 1271, 547, 4063, 602, 711, 3025, 16137, 519, 1482, 1259, 269, 11334, 723, 547, 4001, 513, 1804, 1297, 540, 1053, 543, 4137, 856, 799, 1259, 547, 4001, 513, 1888, 865, 602, 3025, 666, 1451, 269, 28518, 1053, 568, 519, 1655, 1259, 547, 917, 952, 519, 2409, 3610, 616, 1210, 616, 2500, 610, 711, 269, 9208, 1242, 4255, 666, 849, 948, 1397, 875, 1053, 616, 5355, 936, 5503, 563, 2080, 616, 476, 276, 2640, 540, 13387, 4152, 912, 268, 9208, 1242, 4152, 2875, 2773, 593, 840, 1673, 17827, 4441, 13988, 547, 519, 5871, 11759, 269, 8549, 8128, 5965, 891, 4255, 1759, 3446, 1377, 14541, 12201, 563, 268, 1635, 7893, 513, 13387, 1592, 540, 1702, 1851, 782, 1053, 3506, 786, 917, 952, 519, 1699, 2069, 1377, 1373, 6026, 568, 3608, 610, 28119, 269, 898, 1128, 580, 919, 513, 6643, 593, 875, 547, 3136, 15980, 1434, 2164, 610, 875, 547, 2087, 2164, 602, 616, 711, 909, 547, 519, 3044, 563, 268, 966, 16191, 1239, 568, 9715, 950, 13387, 4255, 616, 1500, 269, 3683, 942, 713, 1239, 2337, 5635, 3140, 1239, 593, 891, 4441, 269, 898, 2337, 3391, 1153, 6454, 543, 1153, 3102, 4058, 7341, 563, 268, 13281, 3091, 513, 4023, 6476, 281, 5272, 2875, 4991, 519, 1482, 1449, 543, 786, 581, 28439, 8850, 676, 6191, 267, 865, 606, 6662, 1267, 666, 581, 5833, 269, 1280, 1053, 945, 723, 4049, 9124, 610, 1893, 7496, 267, 972, 616, 4244, 10526, 602, 666, 581, 1031, 563, 268, 13281, 2337, 3506, 543, 3251, 593, 3950, 609, 5313, 4170, 543, 1445, 593, 4180, 2298, 2069, 269, 12140, 543, 2829, 2226, 5571, 2792, 609, 5313, 8128, 2429, 519, 1184, 269, 901, 2636, 3506, 547, 3082, 741, 6437, 543, 3450, 2409, 267, 865, 789, 666, 1331, 519, 2229, 4170, 543, 1118, 2386, 1053, 1810, 1406, 2887, 1932, 2484, 3297, 269, 898, 849, 2337, 3391, 3506, 543, 1153, 13102, 1544, 6619, 543, 5635, 4566, 267, 6578, 267, 543, 3318, 1646, 5752, 563, 13425, 13050, 938, 3896, 827, 1533, 10526, 267, 1519, 7044, 689, 938, 12751, 14288, 20229, 3220, 269, 10127, 5055, 9652, 267, 938, 21246, 1023, 267, 543, 1256, 938, 1053, 2336, 31306, 5649, 344, 5183, 3820, 814, 2661, 2070, 762, 1239, 585, 782, 547, 1294, 269, 623, 3201, 5425, 7512, 2385, 5955, 256, 1280, 948, 16208, 610, 17265, 713, 1239, 267, 5225, 1745, 1863, 547, 3914, 13050, 547, 938, 8111, 6665, 528, 540, 8549, 15789, 2098, 1993, 807, 4210, 5573, 330, 693, 4757, 11333, 2593, 610, 476, 279, 6507, 268, 278, 1839, 268, 30116, 276, 1535, 8099, 279, 269, 0, 15124, 14440, 25803, 685, 3045, 1392, 2456, 1810, 1406, 7363, 1491, 1747, 12422, 267, 855, 2094, 519, 932, 641, 514, 1299, 5576, 30977, 1032, 476, 1001, 271, 543, 519, 28988, 345, 339, 16873, 476, 1001, 272, 267, 942, 814, 1631, 2097, 585, 1776, 30140, 1271, 21917, 563, 9213, 267, 519, 476, 2420, 526, 540, 4864, 476, 1001, 273, 7436, 519, 476, 5611, 1296, 14512, 540, 519, 3943, 21917, 19863, 324, 13891, 1380, 344, 267, 676, 1082, 2808, 519, 4651, 540, 968, 19640, 2575, 9731, 288, 1715, 28042, 31326, 454, 5719, 321, 1380, 344, 779, 14440, 2575, 568, 7361, 513, 1353, 538, 20538, 269, 4107, 540, 1010, 1570, 2501, 1152, 513, 1906, 5756, 1310, 28988, 345, 339, 779, 2669, 267, 855, 568, 4174, 330, 5944, 1114, 269, 717, 821, 616, 519, 19711, 532, 12354, 1511, 15102 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 568, 513, 476, 3422, 279, 1126, 27231, 1433, 2854, 543, 11609, 676, 1810, 1954, 17507, 267, 543, 3370, 676, 269, 1452, 616, 5078, 585, 20854, 267, 9251, 543, 2038, 10026, 3214, 269, 634, 15888, 540, 519, 2462, 7703, 543, 2370, 7703, 2984, 3142, 721, 519, 9661, 540, 513, 269, 8866, 1175, 2648, 519, 2984, 899, 4154, 559, 4169, 267, 524, 785, 699, 12848, 267, 22850, 684, 29992, 3092, 4583, 18912, 9661, 4154, 559, 4169, 269, 14594, 536, 9904, 16439, 1433, 609, 1383, 543, 16168, 7703, 20419, 269, 9466, 7703, 267, 6960, 7703, 13492, 267, 2238, 267, 543, 25258, 269, 16974, 3817, 585, 3214, 7703, 7801, 3817, 811, 20419, 12217, 20419, 7703, 7801, 3817, 269, 2983, 996, 534, 329, 8932, 27977, 585, 3214, 5227, 585, 596, 476, 1556, 563, 297, 2794, 1376, 707, 1126, 338, 2648, 540, 1565, 609, 938, 24015, 2966, 9251, 3756, 269, 14594, 536, 9904, 16439, 1433, 609, 1383, 543, 16168, 7703, 269, 19468, 3700, 1494, 1562, 1650, 19347, 676, 4626, 4439, 18403, 798, 711, 4647, 689, 269, 3245, 1287, 593, 267, 519, 2012, 22788, 11276, 7703, 568, 1031, 547, 3277, 547, 28077, 3662, 31119, 602, 18613, 513, 2370, 7703, 7750, 269, 901, 729, 606, 2653, 3018, 547, 1544, 267, 2094, 972, 616, 865, 1082, 1390, 4605, 2835, 543, 13492, 856, 972, 547, 3442, 689, 269, 769, 519, 1101, 540, 513, 1000, 641, 691, 3126, 267, 596, 786, 3605, 2093, 585, 2085, 14363, 2835, 543, 9413, 602, 6338, 3214, 547, 891, 5863, 2831, 269, 17828, 569, 3358, 585, 707, 1396, 339, 23057, 6267, 2115, 267, 891, 9251, 3756, 786, 2253, 10962, 707, 1126, 547, 519, 5022, 540, 519, 9904, 267, 10203, 267, 5546, 267, 6482, 2645, 267, 543, 1297, 2631, 269, 1215, 1082, 2835, 1705, 596, 1224, 538, 519, 4928, 19108, 610, 693, 21557, 2063, 3781, 269, 14295, 9398, 7328, 13558, 562, 4148, 17281, 16720, 321, 544, 3149, 562, 9346, 562, 25632, 2528, 563, 2467, 616, 849, 2238, 585, 513, 1297, 540, 5172, 3197, 689, 1126, 27231, 2835, 1519, 2144, 545, 1286, 956, 6960, 7703, 543, 22774, 3165, 269, 901, 2025, 812, 1351, 706, 5797, 729, 513, 7703, 267, 646, 1185, 1100, 2828, 9170, 269, 9741, 7703, 16137, 519, 2081, 540, 519, 1158, 538, 713, 8748, 3126, 1759, 593, 519, 5929, 1126, 27231, 1433, 269, 23897, 1343, 540, 1007, 267, 1164, 638, 1275, 5961, 3773, 1169, 1554, 269, 645, 8986, 6249, 2238, 543, 25258, 17680, 3960, 569, 12217, 267, 3109, 12217, 267, 5774, 320, 12217, 267, 8701, 12217, 267, 3141, 12217, 855, 711, 32748, 531, 553, 616, 782, 2818, 540, 519, 7703, 1920, 269, 2290, 1187, 1433, 547, 6338, 707, 23021, 547, 568, 12217, 10690, 5694, 676, 737, 12609, 530, 12291, 269, 3733, 8701, 7703, 7801, 9212, 723, 930, 540, 519, 8701, 7703, 521, 7226, 899, 6777, 543, 4672, 267, 543, 1256, 930, 4672, 6199, 338, 269, 1306, 23021, 1250, 3214, 6068, 2835, 899, 8701, 7703, 267, 8701, 7703, 1018, 798, 596, 5873, 24988, 2854, 676, 3915, 31994, 267, 795, 337, 269, 15012, 721, 693, 519, 1650, 5503, 14500, 8756, 585, 6266, 811, 1390, 1126, 27231, 2984, 1224, 856, 10978, 269, 1703, 568, 513, 2898, 3126, 540, 6653, 2835, 827, 2370, 8701, 7703, 563, 11742, 547, 2097, 538, 7703, 1126, 27231, 1650, 593, 1514, 26865, 269, 15932, 569, 1747, 519, 476, 1428, 4773, 540, 3043, 1957, 519, 4672, 6199, 338, 593, 519, 6989, 269, 23413, 11276, 7703, 8964, 543, 9416, 680, 904, 2947, 2370, 12217, 821, 2370, 7703, 342, 1180, 1359, 1018, 547, 269, 9466, 7703, 2979, 25258, 6960, 7703, 15971, 6486, 543, 804, 1678, 666, 2856, 2370, 6960, 7703, 7792, 5467, 6960, 7703, 4605, 605, 1186, 6960, 7703, 7792, 6486, 547, 979, 609, 1433, 4216, 4739, 7792, 6863, 6486, 585, 2038, 3988, 4806, 6486, 267, 4938, 629, 6486, 543, 12470, 564, 16853, 6960, 7703, 7924, 1770, 5862, 513, 6960, 7703, 267, 2458, 720, 513, 5835, 21868, 269, 8437, 593, 513, 1433, 3382, 547, 1205, 811, 1344, 827, 519, 1433, 952, 12349, 3388, 9251, 949, 1205, 513, 1507, 10243, 269, 674, 5424, 12470, 1115, 616, 711, 1152, 513, 1390, 5162, 3214, 4739, 855, 789, 616, 3501, 5916, 609, 513, 5172, 1126, 27231, 1433, 827, 8701, 12217, 269, 2986, 782, 519, 1655, 331, 3437, 543, 1034, 11599, 5515, 538, 1126, 27231, 3332, 267, 606, 1659, 2685, 269, 23413, 11276, 7703, 2835, 585, 9251, 6249, 7792, 3817, 269, 3776, 9251, 12217, 2835, 3568, 519, 1034, 2347, 2038, 269, 9466, 7703, 267, 6960, 7703, 267, 1018, 798, 596, 1294, 1224, 16965, 596, 32353, 269, 14168, 543, 1863, 547, 1820, 2370, 7703, 7801, 3817, 585, 1453, 269, 8111, 7801, 1863, 7792, 7801, 3817, 585, 3214, 267, 7801, 9212, 267, 1863, 7990, 532, 1433, 267, 12383, 267, 7792, 5961, 267, 17157, 691, 267, 3109, 543, 3043, 5961, 267, 1899, 1148, 543, 12400, 269, 595, 1393, 29681, 20419, 7703, 3662, 1688, 6537, 6960, 11442, 20419, 22788, 11276, 7703, 18795, 593, 513, 11909, 4282, 609, 2699, 1957, 2295, 269, 901, 1433, 3294, 568, 3810, 2502, 543, 3947, 1175, 519, 1318, 2179, 540, 15923, 1510, 11566, 707, 9251, 518, 563, 27409, 2931, 267, 13492, 267, 543, 2238, 547, 1118, 5162, 1565, 1187, 269, 3371, 568, 513, 1390, 4015, 540, 22788, 11276, 7703, 7801, 3817, 7792, 585, 707, 269, 1284, 1224, 835, 610, 1079, 540, 519, 540, 519, 2835, 7396, 2630, 1142, 1554, 547, 519, 1453, 1282, 5858, 942, 610, 1650, 942, 269, 9717, 513, 1957, 6676, 519, 1126, 786, 30164, 519, 7703, 875, 789, 1616, 547, 269, 11206, 20419, 2831, 609, 20224, 6152, 4104, 20419, 563, 10403, 7792, 10959, 585, 20419, 1915, 13492, 585, 9251, 543, 9656, 3214, 269, 12409, 4247, 585, 9251, 1453, 20036, 27033, 1941, 7801, 1433, 610, 2985, 585, 1453, 540, 1153, 543, 9251, 2085, 269, 6423, 811, 2093, 827, 6960, 7703, 267, 9251, 543, 9251, 2835, 269, 4855, 519, 1283, 476, 1911, 1034, 2442, 3688, 538, 32312, 2835, 1655, 23965, 563, 8196, 713, 6249, 547, 8661, 3084, 22788, 11276, 7703, 1554, 694, 4697, 476, 280, 610, 3084, 22788, 11276, 7703, 17552, 5371, 1554, 5104, 569, 476, 1015, 269, 2060, 4557, 1114, 4365, 2010, 713, 1305, 568, 1390, 585, 1818, 513, 1491, 24610, 4365, 1433, 269, 17949, 1863, 7703, 7801, 3817, 547, 2681, 267, 5862, 610, 4739, 344, 3872, 3785, 585, 1762, 1453, 543, 519, 1762, 693, 2295, 269, 4855, 20419, 7703, 6006, 2592, 538, 554, 323, 543, 6634, 540, 824, 28370, 16451, 6006, 6337, 267, 12383, 543, 10321, 538, 519, 9505, 614, 18450, 4015, 269, 14689, 279, 476, 31430, 476, 15946, 272, 476, 275, 4817, 476, 276, 1240, 476, 15704, 476, 12893, 277, 476, 13893, 279, 476, 4375, 278, 476, 16409, 278, 476, 278, 4343, 476, 8064, 277, 476, 1960, 476, 12739, 476, 4281, 275, 476, 279, 4343, 476, 6321, 279, 476, 4037, 275, 476, 25375, 476, 6344, 273, 476, 6321, 273, 476, 9873, 277, 476, 276, 6078, 476, 278, 4029, 476, 3192, 476, 5325, 275, 476, 4510, 272, 476, 15946, 275, 476, 6812, 275, 476, 16928, 277, 476, 9340, 277, 476, 10441, 280, 476, 12893, 280, 476, 4649, 277, 476, 12208, 271, 476, 29496, 476, 7176, 275, 476, 25002, 476, 2767, 476, 5325, 278, 476, 2568, 273, 476, 9610, 278, 476, 4343, 272, 0, 3674, 21939, 17149, 888, 12606, 1772, 21939, 17149, 286, 2483, 3412, 332, 12568, 3040, 3040, 3040, 3040, 3040, 3040, 3040, 454, 3412, 332, 12568, 2667, 574, 7976, 28636, 12729, 17796, 9137, 1306, 23796, 4530, 1948, 273, 1985, 1362, 454, 2108, 22818, 519, 1034, 3407, 1267, 540, 782, 2069, 568, 519, 2702, 547, 1118, 3054, 798, 519, 3364, 596, 723, 547, 798, 267, 950, 621, 11129, 547, 581, 2944, 267, 2436, 596, 899, 621, 610, 711, 1848, 1107, 7338, 8361, 670, 5060, 2917, 267, 4437, 6048, 454, 8489, 616, 1034, 3656, 11082, 689, 286, 5440, 476, 1015, 538, 476, 1001, 271, 454, 13126, 281, 772, 2529, 269, 4972, 540, 13067, 14657, 8232, 5291, 2517, 4178, 6155, 26387, 10993, 24474, 331, 3869, 270, 7221, 23995, 520, 2524, 9706, 3016, 566, 521, 14672, 28739, 6958, 337, 318, 1001, 271, 15005, 454, 300, 1410, 4815, 3127, 13372, 3624, 10476, 21896, 29401, 6243, 18010, 27425, 25706, 454, 1432, 2694, 540, 519, 772, 2529, 269, 798, 1034, 11082, 7017, 538, 888, 1432, 2694, 540, 519, 772, 2529, 269, 798, 1034, 11082, 7017, 538, 286, 1656, 1946, 286, 4993, 454, 303, 2313, 543, 29553, 2188, 540, 26790, 883, 519, 772, 2529, 269, 32379, 2188, 6710, 454, 325, 8533, 13864, 10617, 4108, 8908, 454, 516, 31437, 610, 2797, 20655, 454, 303, 2313, 543, 29553, 2188, 540, 26790, 883, 519, 772, 2529, 269, 29553, 2188, 8226, 540, 11995, 3255, 7694, 1920, 3909, 5191, 2804, 5191, 2069, 454, 296, 993, 513, 3267, 476, 272, 269, 476, 273, 269, 476, 274, 269, 476, 275, 563, 5575, 5108, 19366, 630, 322, 877, 547, 519, 772, 2529, 269, 711, 4535, 1934, 264, 5822, 5108, 630, 18499, 3357, 547, 519, 772, 2529, 1421, 4535, 1934, 264, 12059, 5108, 630, 6588, 526, 18499, 3357, 547, 772, 2529, 4700, 7731, 814, 1044, 538, 519, 772, 2529, 269, 811, 982, 476, 274, 5481, 454, 1432, 568, 21939, 888, 10112, 574, 7976, 476, 272, 269, 7917, 661, 269, 5244, 779, 2757, 21939, 3069, 454, 273, 269, 29859, 23583, 779, 4207, 5784, 476, 274, 269, 9710, 864, 918, 718, 523, 779, 2686, 12683, 1143, 4586, 27144, 5244, 779, 2757, 21939, 2203, 267, 21939, 4386, 1310, 476, 274, 5481, 269, 3040, 476, 272, 560, 281, 6560, 547, 1451, 519, 1007, 1259, 540, 1007, 2197, 267, 3180, 593, 547, 1082, 3344, 540, 741, 2528, 454, 6097, 547, 7917, 5244, 779, 2757, 21939, 2203, 3040, 476, 273, 526, 281, 7390, 1857, 3506, 1451, 2296, 1732, 982, 3237, 454, 16673, 1847, 856, 540, 17801, 1227, 19882, 16973, 19533, 2576, 3544, 540, 741, 5198, 269, 12846, 2938, 607, 16080, 11107, 543, 949, 2015, 2933, 16080, 11107, 454, 27144, 5244, 779, 2757, 21939, 2203, 3040, 476, 274, 6113, 281, 6264, 18244, 540, 11082, 267, 1847, 4625, 883, 13416, 540, 1977, 1272, 563, 9802, 1451, 513, 1906, 1913, 540, 22594, 685, 1893, 267, 917, 513, 1906, 10346, 267, 610, 605, 18690, 267, 855, 3717, 6140, 2296, 23225, 2055, 3823, 741, 22874, 454, 6097, 547, 2757, 21939, 2203, 267, 21939, 4386, 1310, 476, 274, 5481, 269, 3040, 476, 272, 560, 281, 9620, 547, 1451, 519, 1007, 1259, 454, 1892, 476, 273, 526, 281, 1451, 2296, 1732, 982, 3237, 267, 1847, 856, 540, 17801, 1227, 19882, 16973, 267, 19533, 2576, 3544, 540, 741, 5198, 269, 12846, 2938, 607, 16080, 11107, 3040, 476, 274, 6113, 281, 1847, 4625, 883, 519, 13416, 1977, 1272, 563, 1103, 707, 6644, 610, 2123, 2833, 814, 713, 1044, 3020, 888, 290, 761, 6291, 540, 2757, 21939, 2203, 476, 272, 269, 22695, 2803, 2085, 540, 7127, 454, 273, 269, 22695, 2803, 5198, 454, 274, 269, 22695, 2803, 3903, 454, 290, 761, 6291, 540, 2757, 21939, 2203, 476, 275, 269, 22695, 2803, 1895, 2450, 2676, 935, 1417, 5928, 267, 543, 942, 540, 7127, 454, 276, 269, 22695, 2803, 16726, 1063, 519, 454, 300, 559, 2023, 23583, 779, 12634, 14358, 593, 2667, 574, 7976, 23583, 4330, 476, 278, 1114, 1016, 3157, 540, 21939, 454, 300, 559, 2023, 23583, 779, 12634, 14358, 593, 2667, 574, 7976, 454, 5278, 1745, 602, 711, 782, 616, 2009, 476, 272, 269, 8836, 630, 335, 847, 1182, 543, 5389, 264, 476, 273, 269, 23305, 630, 25217, 338, 267, 6009, 267, 8027, 267, 16351, 21384, 540, 2486, 264, 476, 274, 269, 3057, 1388, 630, 28412, 4891, 264, 476, 275, 269, 5772, 881, 1049, 630, 1492, 1895, 596, 2697, 609, 264, 476, 276, 269, 5900, 15994, 630, 2181, 9080, 823, 264, 476, 277, 269, 19884, 630, 29171, 19303, 264, 476, 278, 269, 595, 15960, 630, 335, 11823, 1379, 267, 6041, 538, 6214, 264, 21939, 563, 27839, 1154, 8000, 5288, 269, 6428, 611, 30558, 454, 24292, 1773, 1116, 1143, 3013, 454, 295, 528, 864, 918, 718, 523, 779, 8836, 1773, 1116, 1143, 11683, 640, 779, 2528, 1058, 711, 5372, 12102, 779, 2528, 1809, 1039, 547, 621, 454, 14737, 528, 640, 1895, 779, 2081, 1058, 581, 7608, 9701, 581, 2938, 607, 968, 13563, 1242, 892, 1510, 7106, 8960, 607, 10058, 2516, 454, 27839, 1154, 8000, 5288, 269, 6428, 611, 30558, 6904, 798, 596, 1745, 568, 1732, 585, 519, 2136, 2276, 286, 4208, 286, 8836, 1773, 1116, 1143, 454, 27650, 17796, 16103, 689, 519, 4993, 7732, 540, 6837, 476, 272, 269, 12532, 1472, 543, 2070, 782, 540, 519, 2592, 476, 273, 269, 5776 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 519, 2136, 2276, 269, 3776, 2221, 538, 1686, 6538, 3568, 936, 476, 1220, 267, 1822, 4628, 3406, 762, 13366, 269, 4455, 476, 274, 267, 476, 4350, 271, 267, 634, 11204, 9483, 21001, 2193, 269, 3371, 616, 519, 1883, 8090, 538, 14151, 781, 1686, 936, 519, 1296, 267, 689, 840, 4211, 2753, 2782, 2621, 547, 519, 3527, 540, 3532, 2797, 5515, 543, 32333, 602, 581, 325, 749, 14151, 7264, 269, 16952, 8989, 676, 1325, 2088, 17659, 5112, 267, 14970, 3163, 19928, 12460, 269, 2622, 12668, 594, 543, 4083, 941, 971, 2621, 602, 1185, 513, 1713, 1198, 593, 519, 3003, 1158, 269, 6792, 568, 513, 2244, 540, 26037, 267, 609, 1164, 10239, 543, 2620, 666, 344, 976, 538, 519, 4099, 540, 519, 2197, 267, 27789, 24301, 538, 519, 5087, 267, 543, 10053, 4764, 7733, 538, 519, 5045, 543, 7532, 269, 476, 16825, 277, 281, 8361, 543, 10906, 19533, 282, 31218, 6423, 713, 2680, 538, 824, 28868, 281, 1635, 476, 3707, 278, 910, 589, 772, 23859, 27581, 16154, 3338, 2282, 14472, 6202, 269, 476, 7277, 279, 3967, 269, 476, 2190, 269, 2201, 1804, 2680, 538, 513, 11204, 1920, 568, 519, 844, 1550, 320, 10722, 5028, 269, 634, 3239, 20186, 513, 16826, 6029, 519, 12625, 540, 19090, 538, 519, 2136, 2276, 269, 13690, 7788, 2098, 20810, 10458, 910, 14970, 3163, 19928, 12460, 25599, 5682, 568, 519, 7167, 20738, 13163, 12751, 540, 634, 744, 9383, 1695, 2674, 269, 901, 568, 513, 5542, 540, 1883, 2621, 538, 519, 1686, 540, 9111, 269, 4256, 10367, 1331, 7524, 4778, 543, 26007, 540, 1272, 538, 6792, 269, 634, 4611, 4655, 17275, 519, 11204, 7115, 3350, 267, 4171, 1101, 6205, 729, 513, 17308, 267, 20353, 3241, 670, 10537, 2998, 586, 8779, 8759, 269, 7490, 632, 716, 10675, 707, 740, 3625, 518, 538, 1931, 547, 1294, 938, 20478, 2709, 269, 634, 7292, 5208, 3357, 538, 513, 2486, 602, 7873, 19861, 17478, 543, 7109, 730, 561, 2106, 4221, 269, 769, 476, 1220, 279, 267, 519, 22208, 8111, 306, 9582, 882, 11343, 547, 20274, 4975, 543, 2968, 519, 774, 8974, 269, 1306, 519, 20274, 8466, 5980, 12662, 621, 281, 834, 2690, 2185, 5756, 1310, 476, 4572, 277, 519, 19814, 25793, 14414, 4229, 540, 1689, 10876, 621, 20109, 269, 1715, 3840, 267, 3371, 568, 513, 5618, 7650, 540, 11204, 2528, 269, 634, 1034, 1134, 8153, 23055, 540, 519, 11204, 631, 1116, 626, 1153, 616, 17630, 5211, 320, 630, 6642, 277, 1700, 4198, 278, 1070, 6424, 1325, 325, 16619, 590, 1664, 328, 4592, 2560, 476, 6642, 272, 910, 25381, 519, 17718, 568, 8929, 543, 7166, 269, 834, 29261, 616, 5701, 609, 513, 1164, 4110, 540, 2463, 267, 607, 568, 519, 1920, 538, 2489, 543, 972, 949, 581, 3586, 6560, 267, 2523, 585, 519, 3395, 1453, 1063, 1367, 6499, 543, 2115, 543, 1346, 6499, 543, 2115, 540, 519, 1920, 2437, 3773, 25538, 1676, 269, 6239, 11106, 10837, 781, 2622, 5517, 1504, 267, 623, 1168, 3194, 281, 29570, 519, 21337, 15510, 267, 1635, 3557, 267, 6019, 543, 4975, 267, 2160, 540, 1715, 6792, 281, 4303, 540, 519, 16458, 267, 1975, 3863, 1782, 476, 279, 28902, 17489, 1412, 4754, 11663, 262, 540, 4672, 2085, 581, 6814, 4362, 6456, 538, 8835, 22986, 267, 8136, 11464, 781, 5728, 4760, 1223, 2709, 1007, 10881, 827, 519, 772, 23859, 16154, 538, 14472, 6202, 538, 476, 3707, 278, 267, 4132, 781, 7633, 12617, 476, 2412, 267, 1822, 1296, 3516, 4194, 1279, 29280, 3026, 6387, 11209, 9814, 267, 9147, 12266, 11876, 731, 540, 4831, 10623, 527, 1412, 323, 8812, 2724, 262, 11552, 691, 1117, 267, 16329, 5505, 1265, 5318, 3060, 540, 8835, 14252, 9788, 856, 899, 519, 26355, 267, 476, 272, 267, 8517, 4458, 6040, 26749, 547, 25384, 5601, 7754, 6456, 538, 513, 20850, 5939, 269, 634, 2244, 602, 568, 1459, 6377, 14151, 568, 835, 540, 519, 9510, 20948, 2127, 538, 519, 2136, 2276, 269, 20274, 4975, 1185, 6738, 6385, 3379, 547, 717, 3578, 4471, 543, 4961, 540, 519, 1533, 20366, 547, 1847, 519, 3854, 547, 519, 3677, 2749, 269, 834, 17442, 595, 1075, 541, 778, 320, 257, 568, 513, 1134, 8153, 25795, 25764, 20013, 269, 14307, 1323, 6905, 1974, 540, 10980, 267, 13864, 543, 20247, 6327, 19411, 730, 538, 634, 4279, 12870, 538, 519, 476, 4350, 271, 338, 543, 12012, 519, 1582, 268, 13548, 540, 519, 1533, 607, 32161, 1242, 538, 3627, 23415, 20198, 781, 834, 763, 717, 1905, 525, 540, 654, 337, 987, 1701, 269, 5403, 729, 4152, 1010, 10316, 10581, 30350, 950, 621, 1835, 14414, 16172, 1310, 1491, 4752, 538, 519, 20893, 269, 19198, 979, 689, 7450, 547, 7450, 8876, 22250, 543, 13465, 267, 6998, 585, 12062, 2394, 519, 5411, 1930, 519, 7450, 267, 693, 799, 1448, 519, 5428, 5956, 269, 2368, 1883, 7389, 538, 6792, 781, 1686, 281, 3239, 10677, 5192, 1399, 16103, 3239, 1309, 1632, 6792, 4682, 998, 2101, 2242, 607, 513, 1267, 540, 519, 4838, 3366, 676, 7754, 11155, 966, 8759, 543, 2506, 559, 10730, 2098, 777, 1092, 898, 8711, 8090, 1141, 972, 729, 513, 1713, 4720, 540, 11180, 3741, 269, 634, 3778, 540, 6792, 689, 3504, 2053, 547, 519, 2413, 1554, 269, 3367, 593, 547, 1265, 856, 811, 827, 519, 19142, 540, 519, 772, 2529, 269, 9139, 267, 519, 17039, 27619, 267, 519, 667, 1042, 8845, 3375, 267, 519, 26923, 540, 9410, 13162, 3751, 267, 12789, 1421, 543, 811, 269, 1284, 3142, 547, 596, 513, 1592, 540, 971, 2621, 269, 769, 713, 1592, 649, 2263, 606, 2680, 689, 1142, 8717, 538, 772, 2529, 269, 1686, 602, 814, 8032, 519, 2197, 269, 634, 5072, 540, 519, 5397, 4724, 1533, 3125, 666, 581, 1336, 538, 519, 2244, 23761, 1974, 689, 476, 6642, 280, 547, 476, 5002, 272, 269, 6178, 539, 593, 5988, 476, 273, 267, 476, 7277, 279, 267, 519, 15521, 540, 2871, 611, 2728, 701, 670, 10537, 2998, 4547, 547, 513, 2673, 519, 11204, 12677, 2782, 630, 7277, 277, 1700, 4366, 264, 543, 9583, 24009, 519, 2494, 28685, 20121, 4176, 540, 519, 2136, 2276, 13084, 16845, 676, 3465, 269, 11135, 540, 6792, 4975, 268, 4937, 12736, 7615, 8845, 543, 10136, 818, 633, 538, 6792, 781, 3854, 2749, 543, 4339, 741, 3803, 6370, 1996, 513, 649, 926, 539, 11204, 7952, 269, 2368, 1883, 7389, 543, 2621, 538, 6792, 779, 1686, 616, 607, 5205, 281, 476, 14681, 280, 281, 23634, 525, 521, 5661, 689, 32147, 3570, 543, 3338, 538, 6792, 269, 23883, 3544, 540, 4872, 267, 3885, 616, 3335, 1804, 543, 5165, 15092, 616, 1360, 6857, 540, 741, 9021, 547, 7525, 1920, 2818, 543, 6905, 1920, 971, 607, 30980, 543, 1256, 2673, 2828, 269, 15566, 547, 7033, 5202, 540, 15638, 281, 476, 4198, 272, 547, 476, 3192, 271, 5412, 476, 4350, 279, 634, 4436, 10237, 32554, 1235, 32572, 670, 23167, 543, 674, 761, 345, 5899, 817, 10458, 3605, 519, 1184, 540, 31612, 538, 20879, 269, 6792, 267, 922, 1686, 267, 543, 922, 1004, 2968, 519, 2582, 1034, 1271, 4798, 540, 519, 5458, 9597, 1023, 602, 30164, 519, 6821, 540, 1857, 5656, 269, 6176, 543, 16627, 540, 1883, 2680, 538, 519, 1034, 3102, 8675, 8847, 4199, 593, 519, 1357, 269, 5211, 320, 729, 513, 22082, 540, 631, 1116, 1143, 267, 513, 3350, 602, 1031, 27763, 3774, 1148, 547, 13599, 519, 1004, 269, 476, 6977, 271, 910, 634, 1715, 6792, 24540, 568, 3964, 676, 519, 2136, 2276, 269, 589, 12225, 1108, 540, 1883, 2621, 269, 5510, 619, 513, 26567, 15415, 540, 1271, 7389, 267, 2621, 267, 543, 19325, 538, 14151, 1686, 269, 3509, 3536, 602, 12090, 538, 6792, 616, 2442, 5001, 267, 1519, 19146, 29777, 267, 10217, 543, 6802, 9469, 269, 634, 11802, 543, 13567, 540, 519, 2749, 676, 519, 772, 2529, 269, 593, 20029, 269, 476, 1691, 7436, 519, 796, 334, 24810, 1439, 540, 519, 11204, 12677, 2782, 269, 476, 5908, 274, 910, 634, 7043, 12532, 5956, 607, 519, 18937, 26953, 616, 7142, 547, 882, 11229, 269, 834, 23991, 4559, 616, 2356, 1804, 267, 609, 2757, 4008, 5107, 543, 3573, 1920, 9525, 689, 519, 5007, 2818, 945, 4217, 835, 1776, 538, 1554, 547, 1554, 1272, 2437, 25538, 1676, 5143, 14970, 3163, 269, 634, 544, 652, 714, 334, 630, 288, 1067, 785, 1014, 4149, 20725, 264, 1895, 6589, 585, 476, 7830, 2600, 540, 519, 2551, 269, 6206, 2621, 538, 519, 1686, 540, 9111, 269, 16731, 938, 9746, 3135, 269, 11289, 596, 585, 19142, 909, 547, 14970, 3163, 269, 3571, 7952, 267, 7768, 5631, 540, 544, 652, 714, 657, 543, 12075, 267, 8057, 6385, 543, 4465, 513, 1297, 540, 24984, 267, 855, 789, 941, 5555, 17204, 676, 10424, 626, 10136, 538, 476, 8687, 272, 269, 1717, 267, 2757, 11204, 2021, 21485, 338, 7802, 1631, 5781, 2882, 6266, 540, 15022, 622, 30927, 267, 1419, 1519, 2592, 543, 3270, 602, 723, 12572, 2495, 7923, 547, 873, 269, 7085, 687, 540, 11204, 3484, 4600, 4503, 741, 6009, 607, 10464, 772, 2529, 269, 20558, 2322, 11204, 11396, 856, 540, 1870, 269, 476, 15171, 276, 910, 634, 25069, 14369, 1336, 519, 2749, 540, 14210, 5255, 339, 527, 17427, 269, 634, 2528, 540, 6792, 814, 22734, 513, 16854, 7004, 936, 519, 2250, 1906, 5756, 543, 621, 9775, 4922, 2429, 519, 2197, 269, 4340, 547, 519, 31835, 267, 5053, 568, 9275, 676, 476, 10844, 269, 278, 2600, 540, 519, 11204, 2551, 269, 4989, 476, 736, 12794, 13704, 781, 1290, 564, 5526, 267, 1082, 5165, 15092, 3494, 568, 513, 3771, 321, 5424, 540, 2112, 28872, 652, 559, 775, 543, 2669, 907, 20029, 476, 2767, 623, 21807, 597, 1470, 667, 27927, 29064, 7022, 585, 1010, 21632, 2165, 269, 898, 20054, 519, 2594, 1305, 538, 476, 1220, 271, 676, 715, 8882, 320, 779, 22731, 11204, 31777, 656, 267, 538, 20279, 269, 769, 476, 5197, 279, 519, 3943, 17169, 19167, 594, 22983, 8050, 543, 5116, 1010, 7015, 9478, 593, 519, 17599, 269, 476, 6642, 272, 910, 25381, 519, 17718, 568, 8929, 543, 7166, 269, 11683, 15638, 540, 11204, 7169, 634, 11204, 7169, 729, 513, 2101, 11439, 6560, 5631, 689, 476, 4489, 271, 268, 4572, 271, 267, 513, 2603, 5949, 1369, 713, 4838, 267, 1519, 1082, 2621, 609, 12316, 3401, 543, 3401, 540, 6792, 945, 5337, 1243, 30891, 269, 14151, 3778, 7033, 5202, 12830, 667, 919, 267, 15638, 267, 543, 6660, 16893, 538, 14151, 3778, 269, 6792, 568, 519, 476, 1321, 628, 1034, 29245, 2197, 538, 519, 1158, 267, 609, 936, 476, 11277, 2929, 1004, 538, 513, 5147, 476, 1001, 277, 7447, 267, 2687, 547, 519, 6239, 11106, 10837, 781, 2622, 5517, 1504, 269, 634, 9986, 332, 1815, 338, 7017, 2282, 7638, 659, 745, 345, 269, 769, 6792, 543, 18475, 7905, 27176, 7710, 519, 3592, 7164, 1686, 540, 1079, 1713, 3109, 5095, 269, 3509, 12206, 849, 3494, 602, 519, 1340, 539, 4457, 24413, 932, 2507, 8892, 2475, 267, 5549, 269, 476, 1556, 4639, 476, 5655, 526, 9335, 267, 476, 1428, 628, 4469, 3233, 267, 634, 1034, 1134, 8153, 23055, 540, 519, 11204, 631, 1116, 626, 1153, 616, 17630, 5211, 320, 630, 6642, 277, 1700, 4198, 278, 1070, 6424, 1325, 325, 16619, 590, 1664, 328, 4592, 2560, 589, 2603, 666, 4755, 538, 476, 14093, 1296, 269, 589, 10927, 540, 670, 3518, 1245, 339, 3557, 2160, 538, 20211, 1092, 267, 2836, 604, 1421, 646, 5249, 607, 3377, 9375, 585, 634, 23105, 4964, 538, 20274, 4975, 1354, 11836, 634, 744, 9383, 1695, 2674, 269, 1452, 2516, 1711, 513, 2528, 602, 568, 2189, 547, 6792, 269, 7085, 3317, 807, 6040, 5389, 3136, 538, 8988, 1606, 19431, 532, 267, 19821, 923, 267, 20955, 267, 20341, 543, 11127, 32734, 3058, 267, 2687, 547, 834, 300, 1410, 4815, 1280, 1411, 1701, 269, 19676, 568, 849, 513, 20013, 267, 2687, 547, 3778, 2593, 269, 6987, 2056, 519, 3375, 6194, 1184, 547, 513, 9962, 3296, 540, 2486, 269, 11204, 12563, 2575, 1572, 544, 926, 25764, 568, 1419, 4862, 593, 28037, 1723, 632, 25832, 269, 476, 3707, 278, 910, 589, 772, 23859, 27581, 16154, 3338, 2282, 14472, 6202, 269, 769, 476, 9264, 272, 267, 6792, 10645, 922, 7115, 689, 8050, 269, 476, 16825, 277, 281, 8361, 543, 10906, 19533, 282, 31218, 589, 1067, 785, 1014, 1004, 610, 15866, 589, 1067, 785, 1014, 1004, 2272, 585, 476, 2641, 2600, 267, 1247, 476, 1015, 2600, 540, 519, 2551, 568, 3043, 269, 11204, 12316, 7754, 11155, 966, 8759, 8329, 547, 1715, 6792, 1686, 950, 646, 18084, 6302, 883, 519, 1533, 267, 8781, 1524, 19090, 543, 11318, 476, 1704, 540, 922, 7264, 538, 476, 4489, 277, 269, 476, 4489, 273, 910, 1715, 6792, 568, 15861, 607, 519, 476, 5325, 628, 1533, 269, 6258, 811, 827, 519, 2729 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1242, 5334, 550, 318, 3438, 284, 271, 454, 453, 339, 7505, 1242, 5334, 550, 318, 716, 783, 318, 785, 1182, 17342, 2639, 453, 6112, 6025, 7505, 1242, 5334, 550, 318, 3438, 283, 6352, 6025, 7505, 1242, 5334, 550, 15892, 453, 14851, 18351, 1242, 5334, 550, 318, 3438, 283, 7003, 6025, 7505, 1242, 5334, 550, 2187, 4848, 453, 339, 7505, 1242, 5334, 550, 318, 10420, 284, 339, 7505, 1242, 5334, 550, 314, 339, 7505, 1242, 5334, 550, 318, 3438, 2639, 453, 14851, 1292, 5334, 550, 318, 3438, 283, 7003, 9852, 664, 5334, 550, 2187, 4848, 453, 10852, 5334, 550, 318, 10420, 284, 10852, 5334, 550, 314, 10852, 5334, 550, 318, 3438, 6540, 453, 453, 6112, 1292, 5334, 550, 318, 10420, 256, 284, 339, 7505, 1242, 5334, 550, 318, 10420, 543, 1292, 5334, 550, 318, 10420, 2525, 257, 834, 912, 4848, 14851, 1292, 5334, 550, 318, 3438, 266, 272, 2525, 6352, 9852, 664, 5334, 550, 2567, 19874, 454, 4848, 453, 10852, 5334, 550, 318, 3438, 23785, 272, 454, 4848, 453, 10852, 5334, 550, 318, 10420, 284, 10852, 5334, 550, 314, 10852, 5334, 550, 318, 3438, 6540, 453, 453, 6112, 1292, 5334, 550, 318, 10420, 256, 284, 339, 7505, 1242, 5334, 550, 318, 10420, 543, 18351, 1242, 5334, 550, 318, 10420, 2525, 257, 834, 912, 4848, 14851, 18351, 1242, 5334, 550, 318, 3438, 266, 272, 2525, 6352, 6025, 7505, 1242, 5334, 550, 2567, 19874, 454, 4848, 453, 339, 7505, 1242, 5334, 550, 318, 3438, 23785, 272, 454, 4848, 453, 339, 7505, 1242, 5334, 550, 318, 10420, 284, 339, 7505, 1242, 5334, 550, 314, 339, 7505, 1242, 5334, 550, 318, 3438, 2639, 453, 14851, 18351, 1242, 5334, 550, 318, 10420, 256, 6889, 834, 912, 4848, 453, 339, 7505, 1242, 5334, 550, 318, 716, 783, 318, 785, 1182, 6910, 9230, 339, 7505, 1242, 5334, 550, 318, 10420, 267, 1292, 5334, 550, 318, 3438, 4917, 453, 453, 10852, 5334, 550, 318, 3438, 23785, 272, 454, 453, 453, 339, 7505, 1242, 5334, 550, 318, 3438, 23785, 272, 692, 7531, 453, 453, 258, 1820, 9852, 664, 5334, 550, 318, 10420, 267, 18351, 1242, 5334, 550, 318, 10420, 994, 453, 258, 1820, 6025, 7505, 1242, 5334, 550, 318, 716, 783, 318, 785, 1182, 994, 453, 5320, 284, 3269, 454, 453, 5320, 318, 11034, 318, 520, 284, 271, 454, 453, 8161, 284, 271, 454, 453, 339, 7505, 318, 3438, 284, 271, 454, 453, 339, 7505, 318, 11034, 29223, 17342, 2639, 22610, 512, 538, 21797, 1384, 453, 453, 258, 1820, 2891, 6352, 6025, 7505, 1242, 5334, 550, 318, 716, 783, 318, 785, 1182, 281, 14307, 6352, 6025, 7505, 1242, 5334, 550, 318, 716, 783, 318, 785, 1182, 1070, 18351, 318, 3438, 994, 453, 453, 258, 1820, 6025, 267, 18351, 1242, 5334, 550, 318, 716, 783, 318, 785, 1182, 314, 339, 7505, 318, 3438, 6012, 272, 7481, 453, 453, 339, 272, 284, 339, 18622, 2897, 2891, 955, 268, 14824, 19515, 453, 14851, 18351, 318, 3438, 283, 6352, 6025, 7505, 1242, 5334, 550, 318, 716, 783, 318, 785, 1182, 2187, 4848, 453, 339, 7505, 318, 11034, 29223, 6910, 9230, 339, 267, 18351, 1242, 5334, 550, 318, 716, 783, 318, 785, 1182, 314, 339, 7505, 318, 3438, 6012, 272, 27994, 4752, 3553, 4917, 453, 453, 339, 7505, 318, 3438, 23785, 6352, 6025, 272, 994, 4848, 454, 453, 7531, 16596, 18351, 318, 11034, 29223, 19638, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 453, 258, 1257, 6889, 17806, 8698, 11434, 814, 1305, 17806, 263, 21803, 1070, 855, 950, 3168, 593, 519, 9022, 267, 594, 1810, 1405, 1294, 835, 585, 25373, 299, 599, 719, 4799, 453, 3667, 6889, 567, 4880, 6826, 753, 281, 1215, 547, 946, 1547, 21186, 6119, 538, 4880, 6826, 753, 1616, 263, 4415, 955, 268, 320, 955, 268, 10946, 3065, 955, 268, 21653, 955, 268, 1993, 955, 268, 29121, 279, 343, 24833, 277, 21663, 4840, 13537, 2891, 10852, 1257, 281, 14307, 3667, 994, 28768, 28768, 453, 339, 7505, 318, 310, 29223, 815, 4786, 26748, 15461, 318, 10420, 29495, 267, 21797, 267, 476, 271, 994, 13537, 2891, 339, 7505, 318, 310, 29223, 281, 14307, 18351, 318, 310, 29223, 2020, 0, 26611, 31162, 24800, 270, 7090, 274, 692, 18743, 272, 815, 27835, 4067, 9166, 262, 17951, 13717, 12887, 720, 9166, 736, 10086, 5417, 337, 9166, 262, 420, 368, 369, 26266, 508, 262, 8679, 2745, 5560, 1112, 272, 2020, 258, 18777, 379, 25426, 362, 21211, 10429, 372, 19404, 490, 7511, 29219, 454, 2745, 5560, 1112, 272, 9131, 4067, 11172, 2020, 258, 418, 371, 375, 20693, 510, 32517, 350, 418, 479, 363, 454, 18743, 272, 9131, 25217, 11172, 815, 834, 420, 493, 506, 421, 372, 509, 10533, 503, 31801, 489, 4840, 2745, 5560, 1112, 272, 994, 18411, 258, 10254, 510, 30522, 353, 30317, 27381, 510, 4970, 492, 418, 372, 483, 419, 358, 374, 21211, 10429, 372, 454, 23437, 9598, 272, 9131, 25217, 23300, 2745, 5560, 1112, 272, 994, 18743, 272, 269, 27234, 3890, 476, 1948, 418, 372, 483, 419, 358, 374, 21211, 10429, 372, 454, 23437, 9598, 272, 8587, 1948, 10254, 510, 30522, 353, 21211, 10429, 372, 454, 18411, 258, 13213, 498, 18713, 508, 22047, 21211, 10429, 372, 7511, 418, 369, 483, 14035, 491, 10254, 370, 454, 18743, 273, 815, 9598, 272, 6983, 4878, 4590, 2745, 5560, 1112, 273, 2020, 258, 10254, 505, 417, 375, 374, 22047, 13161, 364, 21211, 10429, 372, 8147, 23284, 31365, 28578, 572, 336, 18809, 30317, 27381, 510, 417, 479, 504, 21211, 10429, 372, 7511, 421, 498, 362, 454, 572, 336, 815, 18011, 4067, 12887, 720, 12887, 5417, 337, 5073, 18743, 273, 815, 9598, 273, 269, 5228, 12399, 263, 572, 336, 994, 2745, 5560, 1112, 273, 2020, 258, 10254, 353, 13161, 511, 421, 498, 362, 15159, 12571, 355, 21928, 21211, 10429, 372, 18809, 454, 2745, 3488, 4067, 262, 538, 9598, 272, 2020, 258, 418, 488, 488, 21211, 10429, 372, 18743, 272, 18809, 7511, 421, 498, 362, 270, 29219, 28098, 418, 505, 368, 13161, 364, 28996, 18743, 274, 18809, 454, 18743, 274, 815, 31460, 18743, 274, 269, 26303, 5560, 1112, 272, 994, 2745, 5560, 1112, 274, 2020, 258, 10254, 510, 30522, 353, 21211, 10429, 372, 14756, 503, 27936, 7511, 4486, 19867, 478, 28098, 18021, 498, 7511, 29219, 8147, 13213, 498, 18713, 508, 29219, 20992, 420, 351, 360, 10254, 510, 30522, 353, 7511, 29219, 454, 18743, 274, 21014, 3488, 4067, 5073, 2745, 5560, 1112, 274, 2020, 258, 421, 504, 493, 10951, 374, 13213, 498, 18713, 508, 23946, 370, 10254, 510, 30522, 353, 21211, 10429, 372, 18809, 7511, 31006, 12571, 492, 13601, 28098, 421, 498, 362, 25520, 29219, 454, 2745, 5560, 1112, 274, 21014, 14403, 15405 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2018, 1592, 540, 7402, 3300, 3615, 713, 7402, 3300, 12260, 539, 454, 1038, 2407, 297, 306, 2177, 630, 1598, 2187, 2018, 32227, 6041, 540, 519, 7402, 3300, 692, 1038, 3629, 2901, 513, 32227, 610, 782, 824, 6724, 607, 3403, 563, 1038, 634, 32227, 786, 936, 20183, 1022, 824, 3403, 952, 1305, 563, 1038, 29185, 1038, 1948, 17997, 1152, 7493, 946, 540, 713, 1362, 454, 1038, 7682, 1826, 4311, 264, 11203, 7402, 3300, 3528, 11243, 692, 1038, 2706, 14061, 1029, 8181, 9191, 454, 2018, 32165, 284, 1211, 8595, 2676, 2018, 12260, 1963, 284, 684, 6674, 1963, 2676, 2018, 2407, 297, 306, 2177, 284, 21459, 297, 306, 2177, 454, 1038, 25589, 1038, 7682, 1826, 4311, 269, 1211, 8595, 264, 2652, 1193, 7531, 5035, 10886, 263, 21886, 3300, 3528, 11243, 2187, 825, 8173, 825, 1323, 3504, 2029, 689, 519, 3014, 3794, 7112, 6409, 523, 454, 825, 29185, 825, 7874, 12173, 815, 834, 30726, 5016, 454, 5035, 9549, 288, 2151, 22777, 263, 21886, 3300, 3528, 11243, 2187, 825, 8173, 825, 589, 5428, 9740, 689, 519, 3014, 3794, 7112, 6409, 523, 454, 825, 29185, 825, 7874, 12173, 815, 834, 4820, 344, 9740, 5016, 454, 5035, 6820, 288, 2151, 22777, 263, 21886, 3300, 3528, 11243, 2187, 825, 8173, 825, 589, 561, 2128, 9740, 689, 519, 3014, 3794, 7112, 6409, 523, 454, 825, 29185, 825, 7874, 12173, 815, 834, 29514, 9740, 5016, 454, 5035, 7402, 3300, 3528, 10831, 263, 21886, 3300, 2187, 825, 8173, 825, 1323, 1958, 537, 614, 4857, 609, 513, 2189, 1297, 689, 519, 3014, 3794, 7112, 6409, 523, 454, 825, 17593, 1362, 547, 7001, 6140, 7653, 543, 2621, 454, 825, 29185, 825, 1948, 1058, 581, 7670, 9287, 676, 1126, 5049, 454, 825, 7874, 12173, 815, 834, 16780, 3300, 676, 1297, 5016, 825, 1219, 6449, 8181, 9191, 1345, 267, 32165, 281, 703, 815, 7183, 267, 12260, 1963, 281, 1592, 815, 1496, 3910, 2407, 297, 306, 2177, 281, 1193, 815, 7183, 2187, 1038, 8173, 1038, 32165, 630, 842, 2187, 2018, 519, 32165, 540, 519, 7402, 3300, 454, 1038, 12260, 1963, 630, 4289, 540, 7402, 3300, 2187, 2018, 1592, 540, 7402, 3300, 3615, 713, 7402, 3300, 12260, 539, 454, 1038, 2407, 297, 306, 2177, 630, 1598, 2187, 2018, 32227, 6041, 540, 519, 7402, 3300, 692, 1038, 3629, 2901, 513, 32227, 610, 782, 824, 6724, 607, 3403, 563, 1038, 634, 32227, 786, 936, 20183, 1022, 824, 3403, 952, 1305, 563, 1038, 29185, 1038, 1948, 17997, 1152, 7493, 946, 540, 713, 1362, 454, 1038, 7682, 1826, 4311, 264, 11203, 7402, 3300, 3528, 10831, 692, 1038, 2706, 14061, 1029, 8181, 9191, 454, 2018, 32165, 284, 1211, 8595, 2676, 2018, 12260, 1963, 284, 684, 6674, 1963, 2676, 2018, 2407, 297, 306, 2177, 284, 21459, 297, 306, 2177, 454, 1038, 25589, 1038, 7682, 1826, 4311, 269, 1211, 8595, 264, 2652, 703, 692, 825, 1219, 6449, 1598, 9191, 1345, 264, 9847, 1193, 912, 1038, 8173, 1038, 16849, 2489, 9623, 827, 519, 1958, 537, 614, 630, 1598, 994, 1038, 29185, 1038, 2706, 23919, 815, 2706, 14061, 1029, 1598, 9191, 2020, 1038, 2132, 535, 257, 346, 27273, 23919, 348, 3010, 454, 5035, 7066, 5501, 263, 21886, 3300, 3528, 10831, 2187, 825, 8173, 825, 1323, 7493, 1362, 585, 14951, 689, 519, 3014, 3794, 7112, 6409, 523, 454, 825, 29185, 825, 7874, 12173, 815, 834, 30036, 5501, 5016, 454, 5035, 9214, 11365, 21886, 3300, 3528, 10831, 263, 21886, 3300, 3528, 10831, 2187, 825, 8173, 825, 1323, 7493, 1362, 585, 31278, 13341, 689, 519, 3014, 3794, 7112, 6409, 523, 454, 825, 9214, 11365, 13341, 616, 13341, 799, 32165, 568, 519, 32165, 540, 454, 825, 519, 3105, 7237, 540, 519, 1482, 1826, 2799, 676, 835, 454, 825, 29185, 825, 1948, 1058, 581, 7670, 9287, 676, 1126, 5049, 454, 825, 7874, 12173, 815, 834, 19102, 11365, 7237, 5016, 454, 5035, 5213, 566, 263, 19102, 11365, 21886, 3300, 3528, 10831, 2187, 825, 8173, 825, 589, 25113, 21856, 689, 519, 3014, 3794, 7112, 6409, 523, 454, 825, 29185, 825, 7874, 12173, 815, 834, 18484, 566, 5016, 454, 5035, 9147, 22897, 263, 19102, 11365, 21886, 3300, 3528, 10831, 2187, 825, 8173, 825, 1323, 3504, 2029, 689, 519, 3014, 3794, 7112, 6409, 523, 454, 825, 29185, 825, 7874, 12173, 815, 834, 534, 2615, 2029, 5016, 454, 5035, 7926, 263, 21886, 3300, 3528, 10831, 2187, 825, 8173, 825, 1323, 7493, 1362, 585, 2621, 689, 519, 3014, 3794, 7112, 6409, 523, 454, 825, 29185, 825, 1948, 1058, 581, 7670, 9287, 676, 1126, 5049, 454, 825, 7874, 12173, 815, 834, 324, 1203, 5016, 825, 1219, 6449, 8181, 9191, 454, 1038, 1582, 2676, 1038, 32165, 281, 703, 815, 7183, 2676, 1038, 3903, 281, 1193, 815, 7183, 2676, 1038, 12260, 1963, 281, 1592, 815, 1496, 16689, 1038, 2407, 297, 306, 2177, 281, 703, 815, 7183, 454, 825, 476, 2187, 1038, 8173, 1038, 32165, 630, 842, 2187, 2018, 519, 32165, 540, 519, 2680, 454, 1038, 3903, 9497, 288, 2580, 834, 289, 257, 610, 834, 257, 2187, 2018, 834, 288, 257, 610, 834, 289, 257, 585, 6364, 3903, 267, 834, 257, 952, 1152, 12260, 539, 454, 1038, 12260, 1963, 630, 4289, 540, 7402, 3300, 2187, 2018, 1592, 540, 7402, 3300, 3615, 713, 7402, 3300, 12260, 539, 454, 1038, 29185, 1038, 7682, 1826, 4311, 264, 11203, 7926, 692, 1038, 952, 2407, 297, 306, 2177, 568, 711, 7183, 912, 2018, 2407, 291, 1112, 815, 1582, 269, 5228, 297, 306, 2177, 263, 21459, 297, 306, 2177, 994, 2018, 32165, 815, 2407, 291, 1112, 14277, 1211, 8595, 31116, 2018, 3903, 815, 2407, 291, 1112, 14277, 577, 4069, 31116, 2018, 12260, 1963, 815, 2407, 291, 1112, 14277, 684, 6674, 1963, 257, 6540, 1038, 7682, 3903, 2652, 834, 288, 257, 610, 3903, 2652, 834, 289, 257, 610, 3903, 2652, 834, 5016, 1038, 2706, 14061, 1029, 8181, 9191, 1211, 8595, 267, 12260, 1963, 2020, 1038, 1582, 26716, 4069, 815, 3903, 692, 825, 1219, 6449, 1598, 9191, 1345, 264, 9847, 1193, 912, 1038, 8173, 1038, 16849, 2489, 9623, 827, 519, 2680, 454, 1038, 29185, 1038, 2706, 23919, 815, 2706, 14061, 1029, 1598, 9191, 2020, 1038, 952, 1582, 26716, 4069, 912, 2018, 1193, 318, 754, 815, 535, 9899, 2715, 1345, 26716, 4069, 348, 4840, 1038, 3116, 912, 2018, 1193, 318, 754, 815, 834, 5016, 1038, 2132, 535, 257, 346, 27273, 23919, 2410, 1598, 318, 754, 348, 5016, 454, 5035, 10003, 30631, 27887, 1203, 2187, 825, 8173, 825, 589, 1362, 585, 4155, 2621, 689, 519, 3014, 3794, 7112, 6409, 523, 454, 825, 29185, 825, 7874, 12173, 815, 834, 5802, 2680, 5016, 454, 5035, 4975, 30631, 27887, 1203, 2187, 825, 8173, 825, 589, 1362, 585, 2749, 2621, 689, 519, 3014, 3794, 7112, 6409, 523, 454, 825, 29185, 825, 7874, 12173, 815, 834, 322, 640, 2680, 5016, 454, 5035, 715, 3139, 21886, 3300, 3528, 10831, 263, 21886, 3300, 3528, 10831, 2187, 825, 8173, 825, 1323, 7493, 1362, 585, 13341, 609, 513, 2012, 689, 519, 3014, 3794, 7112, 6409, 523, 454, 825, 29185, 825, 1948, 1058, 581, 7670, 9287, 676, 1126, 5049, 454, 825, 7874, 12173, 815, 834, 24887, 7237, 5016, 825, 1219, 6449, 8181, 9191, 454, 1038, 1582, 2676, 1038, 32165, 281, 703, 815, 7183, 2676, 1038, 2012, 281, 1193, 815, 7183, 2676, 1038, 12260, 1963, 281, 1592, 815, 1496, 16689, 1038, 2407, 297, 306, 2177, 281, 1193, 815, 7183, 454, 825, 476, 2187, 1038, 8173, 1038, 32165, 630, 842, 2187, 2018, 519, 32165, 540, 519, 3957, 7237, 454, 1038, 2012, 630, 11415, 2187, 2018, 519, 2012, 540, 519, 3957, 7237, 454, 1038, 12260, 1963, 630, 4289, 540, 7402, 3300, 2187, 2018, 1592, 540, 7402, 3300, 3615, 713, 7402, 3300, 12260, 539, 692, 1038, 3629, 2901, 513, 32227, 610, 782, 824, 6724, 607, 3403, 563, 1038, 634, 32227, 786, 936, 20183, 1022, 824, 3403, 952, 1305, 563, 1038, 29185, 1038, 952, 2407, 297, 306, 2177, 568, 711, 7183, 912, 2018, 2407, 291, 1112, 815, 1582, 269, 5228, 297, 306, 2177, 263, 21459, 297, 306, 2177, 994, 2018, 32165, 815, 2407, 291, 1112, 14277, 1211, 8595, 31116, 2018, 2012, 815, 2407, 291, 1112, 14277, 4067, 31116, 2018, 12260, 1963, 815, 2407, 291, 1112, 14277, 684, 6674, 1963, 257, 6540, 1038, 7682, 1826, 28442, 264, 2652, 1193, 692, 1038, 2706, 14061, 1029, 8181, 9191, 1211, 8595, 267, 12260, 1963, 2020, 1038, 1582, 20508, 815, 2012, 692, 825, 1219, 6449, 1598, 9191, 1345, 264, 9847, 1193, 912, 1038, 8173, 1038, 16849, 2489, 9623, 827, 519, 3957, 7237, 454, 1038, 29185, 1038, 2706, 23919, 815, 2706, 14061, 1029, 1598, 9191, 2020, 1038, 2132, 535, 257, 346, 27273, 23919, 348, 2715, 1345, 20508, 348, 5016, 454, 5035, 2372, 652, 18217, 3139, 21886, 3300, 3528, 10831, 2187, 825, 8173, 825, 589, 2123, 1391, 689, 519, 3014, 3794, 7112, 6409, 523, 454, 825, 29185, 825, 7874, 12173, 815, 834, 26810, 5016, 454, 5035, 30014, 17637, 18217, 3139, 21886, 3300, 3528, 10831, 2187, 825, 8173, 825, 1323, 6221, 1374, 689, 519, 3014, 3794, 7112, 6409, 523, 454, 825, 29185, 825, 7874, 12173, 815, 834, 14403, 1374, 5016, 454, 5035, 31950, 9222, 18217, 3139, 21886, 3300, 3528, 10831, 2187, 825, 8173, 825, 589, 9183, 689, 519, 3014, 3794, 7112, 6409, 523, 454, 825, 29185, 825, 7874, 12173, 815, 834, 2675, 523, 9222, 5016, 825, 1219, 6449, 8181, 9191, 454, 1038, 1582, 2676, 1038, 32165, 281, 703, 815, 7183, 2676, 1038, 2012, 281, 1193, 815, 7183, 2676, 1038, 7470, 19613, 281, 25373, 19613, 815, 7183, 2676, 1038, 13151, 525, 22561, 2676, 1038, 12260, 1963, 281, 1592, 815, 1496, 16689, 1038, 2407, 297, 306, 2177, 281, 1193, 815, 7183, 454, 825, 476, 2187, 1038, 8173, 1038, 32165, 630, 842, 2187, 2018, 519, 32165, 540, 519, 31950, 9222, 454, 1038, 2012, 630, 11415, 2187, 2018, 519, 2012, 540, 519, 31950, 9222, 454, 1038, 7470, 19613, 630, 294, 5090, 19613, 2187, 2018, 519, 7470, 4087, 540, 519, 31950, 9222, 593, 519, 4786, 540, 3794, 7112, 6409, 523, 454, 1038, 13151, 525, 630, 321, 944, 610, 834, 257, 2187, 2018, 536, 944, 585, 2436, 9183, 729, 12913, 267, 834, 257, 952, 1152, 12260, 539, 454, 1038, 12260, 1963, 630, 4289, 540, 7402, 3300, 2187, 2018, 1592, 540, 7402, 3300, 3615, 713, 7402, 3300, 12260, 539, 454, 1038, 2407, 297, 306, 2177, 630, 1598, 2187, 2018, 32227, 6041, 540, 519, 31950, 9222, 692, 1038, 3629, 2901, 513, 32227, 610, 782, 824, 6724, 607, 3403, 563, 1038, 634, 32227, 786, 936, 20183, 1022, 824, 3403, 952, 1305, 563, 1038, 29185, 1038, 952, 2407, 297, 306, 2177, 568, 711, 7183, 912, 2018, 2407, 291, 1112, 815, 1582, 269, 5228, 297, 306, 2177, 263, 21459, 297, 306, 2177, 994, 2018, 32165, 815, 2407, 291, 1112, 14277, 1211, 8595, 31116, 2018, 2012, 815, 2407, 291, 1112, 14277, 4067, 31116, 2018, 7470, 19613, 815, 25373, 19613, 18692, 3546, 2407, 297, 306, 2177, 284, 329, 5459, 6155, 7927, 263, 21459, 291, 1112, 14277, 28186, 19613, 257, 7481, 2018, 12467, 2018, 13151, 525, 815, 2407, 291, 1112, 14277, 24175, 764, 525, 31116, 2018, 12260, 1963, 815, 2407, 291, 1112, 14277, 684, 6674, 1963, 257, 6540, 1038, 7682, 1826, 14116, 5090, 19613, 264, 2652, 25373, 19613, 454, 1038, 7682, 1826, 4433, 25458, 525, 264, 2652, 536, 944, 610, 13151, 525, 2652, 834, 5016, 1038, 2706, 14061, 1029, 8181, 9191, 1211, 8595, 267, 2012, 267, 12260, 1963, 2020, 1038, 1582, 26942, 19613, 815, 7470, 19613, 454, 1038, 1582, 4732, 25458, 525, 815, 13151, 525, 692, 825, 1219, 6449, 1598, 9191, 1345, 264, 9847, 1193, 912, 1038, 8173, 1038, 16849, 2489, 9623, 827, 519, 31950, 9222, 454, 1038, 29185, 1038, 2706, 23919, 815, 2706, 14061, 1029, 1598, 1029, 4590, 1038, 4087, 23919, 815, 1582, 26942, 19613, 14857, 1598, 9191, 2020, 1038, 952, 1582, 4732, 25458, 525, 2652, 834, 13426, 2018, 1193, 318, 754, 815, 834, 4840, 1038, 8640, 1582, 4732, 25458, 525, 912, 2018, 1193, 318, 754, 815, 834, 281, 13151, 525, 4840, 1038, 3116, 912, 2018, 1193, 318, 754, 815, 834, 281, 5821, 5016, 1038, 2132, 535, 257, 346, 27273, 23919, 348, 2715, 331, 6327, 23919, 2410, 1598, 318, 754, 348, 5016, 454, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1820, 2891, 27771, 3568, 1152, 1843, 8847, 267, 1100, 6198, 3009, 593, 922, 1378, 5602, 0, 5814, 1770, 11687, 454, 5228, 11788, 17653, 1807, 1104, 11788, 692, 5035, 11788, 17653, 1807, 14818, 19111, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 5727, 307, 3949, 585, 2387, 28269, 17653, 1807, 18258, 319, 27969, 692, 825, 1219, 1449, 318, 529, 318, 22764, 318, 18905, 4311, 2187, 1038, 5727, 3674, 1614, 513, 6305, 286, 12163 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 258, 19370, 476, 1556, 282, 4855, 4102, 1587, 538, 513, 7470, 780, 5976, 1930, 2891, 2889, 12378, 1556, 17902, 2580, 834, 337, 8442, 607, 538, 17572, 912, 453, 6050, 815, 538, 17572, 18667, 14061, 20889, 19629, 333, 5602, 453, 23437, 3515, 15631, 272, 6540, 28186, 815, 20886, 842, 4433, 264, 585, 521, 538, 1899, 21858, 3890, 316, 585, 1899, 538, 3515, 6540, 10946, 3065, 815, 1775, 815, 795, 815, 1535, 815, 586, 815, 476, 271, 454, 258, 1817, 815, 9825, 815, 678, 10972, 698, 815, 561, 10972, 698, 815, 476, 271, 454, 2889, 323, 815, 476, 272, 454, 1817, 815, 9825, 815, 678, 10972, 698, 815, 561, 10972, 698, 815, 8771, 692, 258, 295, 528, 714, 7267, 2472, 454, 1721, 1775, 538, 2039, 12759, 14116, 5090, 15892, 22610, 795, 538, 2039, 12759, 14116, 5090, 264, 910, 476, 274, 2187, 453, 22610, 737, 538, 2039, 263, 275, 2187, 4848, 453, 2889, 323, 2608, 284, 7470, 5157, 6012, 329, 266, 330, 2639, 4848, 14851, 5021, 2999, 605, 323, 912, 15235, 453, 10946, 3065, 815, 605, 323, 454, 15235, 453, 343, 815, 795, 910, 737, 454, 15235, 453, 344, 815, 1775, 454, 15235, 453, 1817, 815, 6936, 454, 453, 453, 2889, 323, 815, 476, 272, 692, 258, 309, 1068, 673, 2472, 454, 1721, 1775, 538, 2039, 12759, 14116, 5090, 264, 910, 476, 274, 2187, 22610, 795, 538, 2039, 12759, 14116, 5090, 15892, 453, 22610, 737, 538, 2039, 263, 275, 2187, 4848, 453, 2889, 323, 2608, 284, 7470, 5157, 266, 330, 6012, 329, 2639, 4848, 14851, 5021, 2999, 605, 323, 912, 15235, 453, 10946, 3065, 815, 605, 323, 454, 15235, 453, 343, 815, 1775, 454, 15235, 453, 344, 815, 795, 454, 15235, 453, 3200, 815, 6936, 454, 15235, 453, 1817, 815, 8771, 454, 453, 453, 2889, 323, 815, 476, 272, 692, 258, 13312, 21192, 15385, 1318, 2072, 454, 1721, 1775, 538, 2039, 12759, 14116, 5090, 264, 910, 476, 274, 2187, 22610, 795, 538, 2039, 12759, 14116, 5090, 264, 910, 476, 274, 2187, 453, 22610, 737, 538, 2039, 263, 275, 2187, 4848, 453, 2889, 323, 2608, 284, 7470, 5157, 266, 330, 6012, 329, 266, 330, 2639, 4848, 14851, 5021, 2999, 605, 323, 912, 15235, 453, 10946, 3065, 815, 605, 323, 454, 15235, 453, 343, 815, 1775, 454, 15235, 453, 344, 815, 795, 454, 15235, 453, 6113, 328, 698, 815, 6936, 454, 15235, 453, 3200, 815, 3520, 815, 8771, 454, 453, 453, 2889, 323, 815, 476, 272, 692, 258, 13312, 21192, 15385, 2451, 2072, 454, 1721, 1775, 538, 2039, 12759, 14116, 5090, 264, 910, 476, 274, 2187, 22610, 795, 538, 2039, 263, 274, 267, 7003, 14116, 5090, 15892, 453, 22610, 737, 538, 2039, 263, 275, 2187, 4848, 453, 2889, 323, 2608, 284, 7470, 5157, 266, 330, 6012, 329, 10275, 2639, 4848, 14851, 5021, 2999, 605, 323, 912, 15235, 453, 10946, 3065, 815, 605, 323, 454, 15235, 453, 343, 815, 1775, 454, 15235, 453, 344, 815, 795, 454, 15235, 453, 671, 328, 698, 815, 6936, 454, 15235, 453, 6113, 328, 698, 815, 9825, 815, 3520, 815, 8771, 454, 453, 453, 2889, 323, 815, 476, 272, 692, 323, 3925, 815, 22373, 1817, 714, 22667, 2580, 834, 3200, 1227, 2580, 834, 10972, 6782, 958, 1318, 2072, 2580, 834, 10972, 6782, 958, 2451, 2072, 257, 6540, 604, 3520, 912, 453, 12248, 815, 476, 271, 454, 19197, 9825, 912, 453, 12248, 815, 476, 272, 454, 19197, 678, 10972, 698, 912, 453, 12248, 815, 476, 273, 454, 19197, 561, 10972, 698, 912, 453, 12248, 815, 476, 274, 692, 2745, 2891, 16655, 3065, 1587, 540, 519, 7470, 568, 281, 4939, 323, 257, 4939, 5021, 994, 2745, 2891, 291, 3925, 281, 4939, 338, 257, 4939, 4287, 314, 12248, 7481, 2745, 2891, 10870, 24002, 281, 630, 260, 323, 267, 260, 323, 17983, 4939, 630, 343, 267, 586, 4917, 0, 20135, 815, 476, 271, 454, 320, 815, 476, 274, 454, 321, 815, 476, 276, 692, 6112, 513, 2999, 476, 1911, 271, 912, 14851, 536, 2999, 476, 1911, 271, 912, 453, 453, 20135, 6834, 513, 1341, 536, 454, 453, 453, 320, 6834, 476, 274, 454, 453, 453, 321, 6834, 476, 276, 454, 453, 19197, 513, 2999, 476, 1911, 271, 912, 453, 453, 20135, 6834, 513, 454, 0, 1477, 5814, 4351, 5897, 3698, 3635, 5334, 677, 4433, 677, 267, 1024, 284, 12690, 20179, 8029, 825, 5727, 305, 684, 930, 4255, 593, 519, 18570, 1599, 267, 4990, 18851, 1477, 825, 585, 562, 538, 1496, 271, 267, 476, 272, 267, 476, 1911, 267, 476, 1911, 271, 267, 476, 1911, 876, 13912, 21506, 1038, 513, 815, 1496, 2102, 3890, 585, 9041, 538, 2039, 3799, 13580, 1477, 1038, 536, 815, 513, 11468, 15947, 1038, 1948, 538, 268, 2897, 12204, 2132, 7183, 267, 824, 12204, 2132, 15044, 5044, 1477, 1038, 524, 815, 4990, 6357, 3418, 1038, 952, 524, 568, 7183, 281, 524, 815, 536, 1477, 1038, 7682, 4433, 9285, 5416, 264, 2652, 1592, 6262, 17903, 1363, 1477, 1363, 0, 18257, 1477, 2304, 5044, 2861, 1592, 6388, 609, 744, 263, 272, 266, 2381, 346, 328, 19885, 25829, 16585, 993, 677, 1242, 9337, 942, 269, 5897, 1607, 4881, 942, 568, 6913, 676, 1350, 5224, 1927, 1079, 26275, 1805, 2931, 267, 1477, 21406, 4395, 543, 1394, 267, 865, 602, 789, 616, 1394, 547, 1394, 269, 5897, 2005, 2114, 616, 23799, 30744, 1256, 1063, 4395, 543, 1394, 8164, 835, 568, 811, 982, 1477, 22764, 2053, 519, 2450, 540, 519, 824, 23228, 18257, 5897, 5228, 5044, 23637, 1104, 26275, 1805, 871, 5897, 5228, 3490, 1104, 12476, 8266, 5897, 5035, 32680, 26161, 291, 3225, 324, 16360, 848, 8266, 8029, 825, 1219, 6449, 8181, 9191, 1345, 267, 12055, 762, 17342, 316, 8029, 1038, 1582, 11519, 30976, 1125, 14052, 1038, 1582, 14491, 318, 718, 263, 3438, 762, 3418, 1363, 1477, 825, 1219, 9041, 30976, 1125, 4311, 8029, 1038, 1582, 8807, 3224, 815, 26275, 1805, 871, 14052, 1038, 1582, 269, 3724, 815, 26275, 1805, 871, 14052, 24541, 825, 1219, 1205, 4311, 267, 1775, 8029, 1038, 952, 1775, 2999, 1582, 8807, 3224, 25915, 28399, 2018, 2132, 1582, 8807, 3224, 10947, 4311, 8807, 3224, 25915, 3890, 268, 328, 268, 272, 3418, 1038, 3116, 6769, 2018, 2132, 1582, 269, 3724, 10947, 9217, 268, 1345, 8807, 3224, 25915, 3890, 3418, 24541, 825, 1219, 1305, 4311, 267, 1775, 267, 1535, 8029, 1038, 952, 1775, 2999, 1582, 8807, 3224, 25915, 28399, 2018, 2132, 1582, 8807, 3224, 15630, 4311, 8807, 3224, 25915, 3890, 268, 328, 268, 272, 267, 1535, 3418, 1038, 3116, 6769, 2018, 2132, 1582, 269, 3724, 15630, 9217, 268, 1345, 8807, 3224, 25915, 19572, 1535, 3418, 24541, 825, 1219, 1039, 4311, 267, 1775, 267, 1535, 8029, 1038, 952, 1775, 2999, 1582, 8807, 3224, 25915, 28399, 2018, 1582, 8807, 3224, 14491, 4311, 8807, 3224, 25915, 3890, 268, 328, 267, 1535, 3418, 1038, 3116, 6769, 2018, 1582, 269, 3724, 14491, 9217, 268, 1345, 8807, 3224, 25915, 19572, 1535, 3418, 1038, 1582, 11519, 25270, 31476, 825, 1219, 4894, 4311, 267, 1775, 8029, 1038, 952, 1775, 2999, 1582, 8807, 3224, 25915, 28399, 2018, 1535, 815, 1582, 8807, 3224, 31927, 4311, 8807, 3224, 25915, 3890, 268, 328, 268, 272, 3418, 1038, 3116, 6769, 2018, 1535, 815, 1582, 269, 3724, 31927, 9217, 268, 1345, 8807, 3224, 25915, 3890, 3418, 1038, 1582, 11519, 25270, 14052, 1038, 2132, 1535, 5897, 825, 1219, 9041, 25270, 4311, 8029, 1038, 562, 815, 1582, 25915, 14052, 1038, 4571, 815, 562, 2260, 273, 1477, 1038, 952, 476, 274, 265, 1345, 8807, 3224, 25915, 3890, 2999, 1582, 269, 3724, 25915, 3890, 610, 476, 274, 265, 1345, 269, 3724, 25915, 3890, 2999, 1582, 8807, 3224, 25915, 28399, 2018, 535, 815, 26275, 1805, 871, 14052, 2018, 585, 1775, 538, 2039, 9852, 573, 8029, 3546, 535, 14491, 9217, 267, 1582, 10947, 9852, 573, 25829, 268, 272, 17903, 2018, 536, 815, 26275, 1805, 871, 14052, 2018, 585, 1775, 538, 2039, 3799, 2173, 573, 8029, 3546, 536, 14491, 9217, 267, 1582, 10947, 9852, 573, 266, 328, 4297, 21506, 2018, 1582, 8807, 3224, 815, 535, 1477, 2018, 1582, 269, 3724, 815, 536, 5897, 825, 1219, 2312, 4311, 8029, 1038, 1582, 8807, 3224, 269, 27234, 14052, 1038, 1582, 269, 3724, 269, 27234, 31476, 825, 1219, 2450, 4311, 8029, 1038, 2132, 1582, 8807, 3224, 25915, 3890, 1341, 1582, 269, 3724, 25915, 14052, 672, 24653, 0, 5035, 8827, 912, 825, 1219, 19758, 10628, 24718, 4311, 267, 590, 267, 476, 570, 2187, 1038, 521, 8266, 284, 11713, 1038, 512, 8266, 815, 11713, 1038, 585, 1130, 538, 590, 912, 2018, 952, 263, 1998, 2652, 834, 258, 257, 2187, 3546, 952, 12759, 4433, 8266, 264, 11203, 271, 2187, 7386, 521, 8266, 21014, 4590, 2018, 3116, 912, 3546, 521, 8266, 6910, 263, 1998, 994, 1038, 1820, 4433, 8266, 994, 1038, 585, 1130, 538, 570, 912, 2018, 952, 263, 1998, 2652, 834, 258, 257, 2187, 3546, 952, 12759, 6025, 8266, 264, 11203, 271, 2187, 7386, 512, 8266, 21014, 4590, 2018, 3116, 912, 3546, 512, 8266, 6910, 263, 1998, 994, 1038, 1820, 6025, 8266, 994, 1038, 952, 12759, 4433, 8266, 264, 11203, 7003, 6025, 8266, 15892, 2018, 2132, 8771, 454, 1038, 585, 1775, 538, 2039, 12759, 4433, 8266, 15892, 2018, 952, 4433, 8266, 5157, 316, 11203, 512, 8266, 5157, 316, 2187, 3546, 2132, 8771, 454, 1038, 2132, 6936, 22562, 2745, 263, 11405, 14061, 10587, 10628, 24718, 2891, 344, 258, 325, 334, 1012, 325, 2580, 834, 344, 258, 325, 258, 334, 1012, 325, 257, 4297, 0, 1998, 284, 3488, 272, 12887, 273, 12887, 274, 12887, 275, 12887, 276, 12887, 277, 5073, 2745, 263, 1998, 994, 8161, 284, 1998, 28827, 263, 276, 994, 2745, 2891, 8161, 540, 476, 276, 568, 24333, 8161, 994, 0, 12163, 9573, 9610, 275, 270, 9573, 6321, 274, 273, 910, 19750, 454, 8620, 513, 2241, 6300, 9498, 454, 12163, 258, 21635, 454, 291, 3041, 4596, 7419, 307, 318, 8025, 305, 2464, 295, 5357, 291, 815, 476, 1911, 476, 1948, 1269, 1911, 454, 291, 3041, 4596, 7419, 307, 318, 305, 12442, 815, 1547, 272, 476, 1948, 476, 1015, 260, 476, 7531, 3698, 1292, 10031, 825, 1820, 2891, 8702, 547, 6300, 7762, 267, 13071, 5173, 562, 8631, 5602, 825, 1297, 15058, 318, 14403, 815, 1205, 318, 20777, 318, 842, 4590, 825, 6221, 7272, 4631, 815, 11713, 825, 585, 1775, 538, 2039, 28840, 15058, 318, 14403, 2187, 1038, 3902, 815, 1205, 318, 20777, 318, 15615, 4590, 1038, 6221, 7272, 4631, 6910, 263, 23748, 994, 825, 2698, 318, 23748, 815, 2040, 263, 14403, 7272, 4631, 994, 825, 952, 2698, 318, 23748, 13843, 20591, 4596, 7419, 307, 318, 8025, 305, 2464, 295, 5357, 291, 912, 1038, 10958, 815, 2698, 318, 23748, 2608, 20591, 4596, 7419, 307, 318, 305, 12442, 454, 1038, 4159, 318, 23748, 815, 2698, 318, 23748, 910, 10958, 454, 825, 3116, 912, 1038, 4159, 318, 23748, 815, 2698, 318, 23748, 692, 825, 1820, 2891, 13707, 3902, 585, 2715, 271, 348, 3688, 568, 20270, 272, 15545, 273, 325, 348, 2668, 8971, 28840, 15058, 318, 14403, 267, 4159, 318, 23748, 264, 9239, 3698, 1205, 318, 20777, 318, 842, 10031, 825, 4570, 17750, 815, 8771, 454, 825, 1247, 711, 4570, 17750, 912, 1038, 2119, 912, 2018, 5697, 20311, 815, 703, 9272, 3488, 10831, 540, 3688, 281, 29125, 1038, 4849, 28759, 912, 2018, 1820, 2891, 6546, 568, 711, 513, 1297, 267, 7490, 3442, 513, 1297, 3152, 982, 4642, 5602, 2018, 3136, 692, 1038, 952, 5697, 20311, 10922, 476, 271, 912, 2018, 1820, 2891, 8923, 3442, 513, 1297, 3152, 982, 4642, 5602, 2018, 3136, 454, 1038, 3116, 912, 2018, 2132, 5697, 20311, 7531, 3698, 1205, 318, 20777, 318, 15615, 10031, 825, 4570, 17750, 815, 8771, 454, 825, 1247, 711, 4570, 17750, 912, 1038, 2119, 912, 2018, 5697, 20311, 815, 10581, 9272, 3488, 25820, 540, 6221, 281, 1269, 29125, 1038, 4849, 28759, 912, 2018, 1820, 2891, 6546, 568, 711, 513, 1297, 267, 7490, 3442, 513, 1297, 3152, 982, 4642, 5602, 2018, 3136, 692, 1038, 952, 5697, 20311, 10922, 476, 271, 912, 2018, 1820, 2891, 8923, 3442, 513, 1297, 3152, 982, 4642, 5602, 2018, 3136, 454, 1038, 3116, 912, 2018, 2132, 5697, 20311, 7531, 10852, 4590, 0, 18851, 9573, 9610, 275, 270, 9573, 6321, 274, 273, 19750, 910, 14691, 4654, 27969, 454, 5228, 533, 2350, 318, 5881, 3052, 3726, 541, 1104, 2871, 10560, 7531, 299, 8780, 318, 294, 308, 3951, 12678, 815, 834, 299, 4840, 4696, 291, 318, 294, 308, 3951, 2752, 815, 834, 288, 4840, 12702, 3951, 815, 834, 304, 4840, 300, 2894, 308, 815, 5727, 24464, 340, 912, 24001, 910, 5903, 2871, 527, 1513, 454, 24001, 910, 5410, 2871, 527, 1513, 454, 24001, 910, 2372, 527, 1982, 3269, 2668 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 540, 519, 28599, 7732, 5948, 267, 513, 631, 5474, 10628, 5890, 334, 18740, 693, 713, 1296, 25674, 14924, 7870, 10554, 538, 8738, 28002, 267, 966, 307, 693, 16422, 21622, 5441, 779, 674, 2231, 728, 561, 1735, 613, 563, 763, 1930, 3898, 609, 3946, 6823, 2238, 267, 2875, 3785, 543, 2199, 631, 6033, 1922, 13083, 5828, 856, 547, 581, 513, 1390, 1967, 256, 3371, 779, 930, 2923, 563, 11390, 2106, 1774, 10584, 27722, 853, 4526, 10916, 3381, 540, 606, 5140, 2875, 20536, 1788, 563, 20578, 476, 274, 291, 17002, 2220, 698, 269, 25674, 14924, 7870, 476, 1001, 275, 8258, 269, 11426, 1242, 689, 3364, 5744, 1843, 281, 5291, 2517, 4178, 269, 2251, 5744, 2593, 270, 2251, 281, 27183, 279, 1724, 454, 264, 763, 16173, 538, 1250, 9036, 5531, 338, 18660, 8286, 269, 901, 568, 513, 1966, 585, 519, 12200, 543, 5234, 945, 946, 519, 10051, 3232, 269, 898, 779, 2067, 602, 8286, 786, 18061, 909, 1317, 649, 723, 1053, 267, 15646, 1562, 267, 543, 9683, 12200, 543, 5234, 945, 946, 519, 10051, 26742, 611, 1227, 267, 2356, 1282, 513, 19060, 593, 513, 2736, 269, 4746, 267, 711, 3025, 6487, 519, 3652, 540, 519, 10051, 267, 610, 602, 621, 779, 15502, 547, 946, 519, 8670, 13195, 615, 563, 306, 1074, 609, 20798, 623, 7644, 9300, 547, 700, 7374, 5496, 16173, 6895, 630, 629, 913, 267, 4099, 1916, 5475, 20171, 513, 1454, 20501, 1129, 267, 519, 18660, 8286, 941, 4389, 269, 594, 4956, 547, 979, 2417, 543, 946, 606, 20798, 267, 623, 7644, 9300, 543, 700, 7374, 5496, 267, 543, 547, 4194, 519, 1966, 1312, 1099, 10999, 543, 2618, 10999, 563, 5141, 846, 909, 20798, 623, 7644, 9300, 547, 700, 7374, 5496, 16173, 6895, 454, 763, 12498, 1449, 7000, 602, 519, 9300, 568, 513, 3787, 20202, 3006, 543, 3085, 1406, 6952, 5163, 267, 543, 602, 519, 5048, 621, 15920, 950, 621, 4667, 5163, 1472, 16173, 540, 968, 8923, 798, 707, 8286, 892, 4769, 1406, 960, 607, 1134, 607, 519, 5048, 968, 14188, 596, 585, 3257, 782, 707, 8286, 1848, 19577, 602, 596, 798, 3006, 1205, 811, 10987, 609, 9932, 563, 5978, 10865, 5870, 540, 5696, 4490, 4011, 334, 9351, 631, 5474, 10272, 1007, 16500, 5112, 28599, 15670, 267, 4432, 20811, 543, 24138, 267, 5411, 540, 17183, 294, 549, 7174, 2593, 269, 4432, 20811, 543, 24138, 941, 2186, 2614, 547, 3802, 721, 998, 513, 2656, 8955, 2759, 614, 5850, 269, 1358, 849, 4951, 721, 930, 540, 741, 5140, 960, 269, 6764, 4809, 267, 3872, 543, 649, 3893, 513, 968, 289, 4456, 892, 20446, 2759, 856, 540, 930, 16150, 2336, 5978, 5067, 568, 3592, 1079, 1631, 543, 649, 4076, 4121, 930, 15361, 585, 14229, 1136, 538, 2635, 3536, 646, 4465, 1406, 2356, 3548, 267, 899, 3039, 19787, 543, 10365, 267, 883, 519, 1426, 646, 14560, 563, 2171, 2661, 538, 28599, 543, 2119, 543, 723, 513, 1360, 1434, 2732, 609, 607, 1454, 2199, 267, 2067, 267, 543, 5214, 1426, 607, 649, 666, 1205, 270, 3530, 867, 269, 1284, 2461, 2818, 540, 519, 2199, 2910, 8008, 267, 607, 1134, 607, 513, 1426, 9140, 18756, 543, 649, 723, 513, 4677, 269, 1284, 849, 2648, 4313, 3536, 543, 594, 4076, 3893, 513, 8467, 585, 30644, 16152, 543, 18437, 543, 1250, 7385, 585, 10217, 543, 4672, 8645, 563, 5978, 5067, 540, 1576, 14560, 5672, 543, 10381, 267, 610, 607, 646, 3081, 968, 332, 659, 5991, 19295, 3150, 5991, 22751, 1790, 770, 320, 17373, 543, 666, 3100, 547, 4584, 782, 519, 9761, 9269, 856, 540, 1022, 4478, 5388, 543, 10365, 563, 2080, 938, 938, 29202, 15361, 563, 300, 1662, 27574, 7105, 17112, 883, 5672, 543, 10381, 256, 1358, 616, 1482, 2681, 267, 711, 547, 18476, 267, 855, 4904, 609, 6775, 543, 3940, 563, 7922, 21123, 4195, 918, 1446, 610, 1975, 514, 778, 538, 3905, 1216, 267, 632, 268, 980, 267, 543, 6986, 324, 883, 513, 11641, 334, 899, 13134, 269, 5410, 547, 5839, 543, 4258, 3150, 269, 634, 10448, 2694, 616, 865, 1507, 789, 6529, 547, 519, 10381, 14036, 543, 646, 3085, 1406, 5469, 563, 4407, 538, 2407, 2070, 693, 519, 3349, 585, 9913, 1871, 267, 2322, 595, 20792, 593, 11945, 21100, 267, 610, 949, 334, 267, 28401, 267, 6952, 1575, 630, 24119, 1742, 593, 707, 3214, 7375, 264, 593, 19787, 267, 3165, 267, 3092, 269, 3776, 5067, 786, 3548, 873, 547, 1205, 547, 519, 968, 338, 879, 576, 892, 607, 646, 3081, 563, 303, 4958, 754, 547, 20057, 548, 6070, 593, 17112, 267, 8970, 267, 17436, 563, 21607, 2370, 546, 629, 540, 7423, 593, 3905, 19787, 543, 4585, 621, 14897, 563, 24246, 1164, 6775, 267, 2898, 10568, 267, 918, 2761, 610, 824, 12478, 602, 723, 3323, 547, 723, 519, 3903, 563, 24109, 16443, 4667, 547, 960, 1134, 609, 2558, 7416, 1115, 610, 824, 1360, 2241, 476, 274, 12146, 1164, 6775, 11523, 619, 563, 8196, 6679, 1187, 23691, 547, 4482, 269, 16157, 267, 1490, 626, 1782, 630, 20791, 652, 2186, 264, 521, 731, 1149, 616, 30644, 543, 3995, 4486, 267, 855, 849, 11212, 1434, 585, 3395, 3425, 1813, 547, 741, 7513, 267, 26102, 476, 274, 338, 543, 824, 5567, 269, 1284, 946, 3751, 30546, 968, 29589, 3640, 1490, 626, 1782, 892, 538, 29106, 13813, 543, 645, 5183, 1863, 23691, 563, 11754, 1744, 1042, 4765, 5453, 520, 267, 610, 715, 8898, 5453, 520, 10945, 1835, 14217, 909, 547, 29877, 18506, 269, 2107, 2322, 513, 6749, 540, 9932, 593, 1142, 835, 563, 292, 520, 19787, 543, 19997, 609, 7772, 693, 519, 3349, 547, 2203, 1434, 2623, 256, 0, 268, 476, 272, 269, 272, 630, 23719, 7953, 2443, 540, 1268, 264, 5609, 22815, 19063, 282, 630, 1765, 540, 3662, 264, 5609, 1273, 553, 5415, 1383, 5220, 272, 269, 273, 630, 20142, 6064, 264, 630, 23873, 2296, 270, 532, 331, 15530, 12766, 17505, 4815, 264, 1496, 322, 3326, 13228, 658, 11721, 13399, 316, 630, 335, 1042, 545, 894, 9706, 1042, 545, 520, 16343, 264, 547, 581, 1850, 1652, 1609, 541, 265, 18664, 571, 11155, 610, 1496, 322, 3326, 13228, 658, 11721, 13399, 316, 635, 334, 19448, 7750, 320, 454, 268, 1924, 1946, 789, 991, 547, 2759, 1524, 593, 519, 1297, 540, 5624, 594, 666, 946, 267, 538, 1931, 547, 1683, 513, 2034, 5544, 585, 519, 1850, 1652, 267, 594, 4312, 1100, 2856, 563, 268, 769, 476, 1960, 271, 267, 12996, 781, 21667, 26689, 329, 31974, 6390, 1500, 519, 1101, 3811, 15385, 676, 513, 1850, 1652, 1268, 563, 268, 2368, 711, 27940, 1922, 13399, 7068, 267, 899, 519, 1850, 1652, 267, 3276, 8089, 1309, 1815, 559, 2103, 267, 616, 849, 27738, 563, 8340, 856, 875, 547, 2328, 5022, 538, 5053, 267, 1519, 5796, 593, 26250, 902, 267, 11768, 267, 30804, 2483, 300, 1601, 657, 546, 262, 19324, 15153, 571, 568, 519, 2012, 540, 519, 7128, 3196, 540, 519, 18280, 534, 14628, 3148, 269, 898, 814, 513, 2647, 2039, 540, 9021, 855, 519, 15050, 807, 6406, 543, 22094, 17144, 715, 659, 1308, 849, 7500, 538, 18280, 8205, 269, 0, 7072, 4633, 1806, 910, 1207, 14794, 267, 4985, 4633, 1806, 4367, 4633, 1806, 666, 2285, 596, 606, 5813, 883, 875, 4367, 18531, 1058, 581, 2854, 267, 543, 875, 1857, 6340, 666, 581, 563, 8993, 999, 4633, 910, 4214, 1806, 267, 6201, 543, 7422, 281, 519, 5515, 607, 2081, 540, 7487, 834, 1492, 5318, 7535, 540, 2474, 585, 11913, 15022, 3512, 566, 814, 19500, 899, 513, 5444, 7535, 585, 519, 17720, 9345, 563, 1432, 3732, 7097, 16475, 22692, 16008, 7790, 267, 1548, 568, 513, 3732, 900, 576, 324, 781, 7097, 585, 606, 10026, 1153, 22692, 286, 2626, 621, 256, 875, 798, 596, 2285, 513, 10950, 4633, 547, 519, 4378, 24461, 8783, 16823, 286, 563, 275, 4097, 1535, 476, 22446, 5788, 476, 7906, 737, 289, 5788, 533, 978, 267, 19573, 566, 16594, 25201, 454, 14096, 276, 1535, 476, 13679, 271, 5788, 476, 7597, 737, 289, 5788, 533, 978, 267, 2155, 775, 618, 12833, 2787, 22276, 12726, 14594, 454, 8340, 3501, 4633, 256, 910, 568, 701, 16696, 1753, 267, 1403, 1810, 685, 2328, 30823, 8956, 4633, 267, 16806, 5428, 1745, 5749, 685, 25442, 282, 1224, 3391, 1451, 547, 1348, 4586, 1692, 2328, 16168, 4633, 22692, 910, 2073, 1215, 2328, 16168, 22692, 4633, 282, 2328, 1434, 22692, 4633, 282, 2328, 22692, 4633, 282, 2328, 22692, 4633, 1164, 1153, 563, 8702, 2093, 22692, 4633, 1923, 552, 6011, 267, 1411, 1547, 8808, 1153, 22692, 4633, 2093, 269, 2093, 22692, 4633, 269, 15980, 1909, 10584, 22692, 16008, 8956, 269, 0, 763, 14069, 13748, 597, 1843, 568, 513, 5691, 15682, 1843, 5833, 676, 10912, 519, 30014, 1505, 630, 528, 676, 10912, 519, 5410, 29919, 17445, 800, 1505, 952, 596, 616, 2870, 513, 1007, 5691, 15682, 1916, 763, 14069, 13748, 597, 1843, 7028, 519, 1739, 3601, 269, 1411, 666, 1205, 543, 1305, 2418, 585, 782, 540, 891, 3601, 4849, 519, 10426, 5320, 3959, 630, 1721, 799, 596, 666, 1305, 267, 855, 3112, 1205, 267, 519, 1871, 1916, 3674, 519, 2012, 540, 519, 5691, 15682, 563, 3674, 519, 2407, 2168, 2619, 547, 519, 15682, 2404, 609, 519, 5691, 15682, 563, 3674, 519, 2012, 540, 519, 7746, 4881, 9786, 10378, 14069, 18218, 12814, 476, 1220, 271, 267, 799, 568, 519, 1239, 2707, 585, 519, 5691, 15682, 563, 3674, 519, 9949, 6538, 1031, 538, 14511, 1996, 713, 5691, 15682, 563, 3674, 519, 3593, 21189, 602, 568, 1031, 547, 1921, 547, 519, 1239, 2707, 563, 3674, 519, 3593, 10957, 602, 568, 1031, 547, 1921, 547, 519, 1239, 2707, 563, 3674, 519, 21189, 17452, 1505, 602, 568, 1031, 609, 519, 5691, 15682, 267, 971, 607, 14069, 24956, 1709, 610, 8837, 21091, 24956, 1709, 269, 1411, 666, 14574, 835, 540, 891, 2418, 563, 347, 272, 1475, 21415, 18218, 21189, 2008, 347, 273, 1475, 19859, 7809, 8837, 10378, 20822, 21189, 2008, 347, 279, 1475, 20360, 3298, 21091, 24956, 1709, 2008, 25519, 1081, 1403, 596, 616, 4657, 519, 4276, 5468, 630, 577, 4474, 7746, 2012, 267, 6538, 2012, 267, 3593, 2012, 267, 10957, 610, 519, 3354, 7154, 1070, 621, 568, 5227, 602, 519, 5691, 15682, 1569, 581, 771, 9994, 539, 269, 634, 5691, 15682, 666, 581, 16981, 676, 4259, 519, 14190, 14503, 4711, 3959, 547, 476, 271, 563, 17809, 1938, 519, 1826, 540, 1569, 4847, 998, 713, 5691, 15682, 269, 1411, 666, 14574, 835, 630, 528, 513, 4999, 264, 540, 891, 2418, 563, 11854, 322, 5809, 2436, 9786, 10378, 5769, 6176, 7896, 630, 2862, 306, 264, 568, 4847, 547, 6023, 519, 20822, 10957, 15222, 1436, 563, 17809, 1938, 519, 2407, 2619, 547, 519, 590, 336, 5894, 777, 328, 6155, 961, 563, 6701, 3593, 20452, 5468, 813, 2105, 547, 519, 744, 4041, 24766, 4276, 5569, 563, 763, 14069, 13748, 597, 1843, 849, 7028, 713, 1505, 912, 3674, 519, 4015, 540, 5691, 2012, 544, 1952, 902, 585, 519, 5691, 15682, 563, 1607, 1383, 20964, 513, 4276, 547, 519, 1101, 5680, 3135, 593, 606, 594, 3041, 7746, 269, 634, 1101, 5691, 15682, 1843, 630, 8161, 476, 271, 264, 593, 519, 4448, 5680, 3135, 568, 15600, 269, 634, 8447, 26073, 3959, 540, 519, 1843, 568, 1305, 547, 595, 24097, 6839, 335, 889, 563, 13729, 5136, 329, 311, 7876, 815, 8073, 30606, 2891, 21415, 13748, 597, 2529, 10258, 13748, 597, 6944, 1503, 8442, 5136, 329, 311, 7876, 269, 21010, 834, 2862, 7704, 13996, 2580, 834, 272, 257, 5590, 5136, 329, 13748, 15077, 815, 5136, 329, 311, 7876, 2529, 10258, 13748, 15077, 5590, 5136, 329, 13748, 597, 815, 5136, 329, 13748, 15077, 20193, 655, 263, 271, 264, 5136, 329, 13748, 597, 269, 16498, 26073, 815, 834, 290, 24097, 257, 5136, 329, 13748, 597, 269, 16498, 26073, 815, 5136, 329, 13748, 597, 269, 16498, 26073, 1299, 834, 6839, 335, 889, 257, 3267, 5136, 329, 311, 7876, 6185, 529, 6618, 0, 1103, 476, 13923, 278, 267, 519, 24649, 540, 5800, 334, 267, 7977, 267, 9315, 1400, 21293, 632, 22757, 267, 10288, 519, 26749, 538, 519, 5783, 540, 853, 269, 18039, 538, 5842, 590, 1197, 3626, 547, 581, 22058, 730, 269, 901, 2838, 519, 26749, 547, 581, 24905, 1194, 269, 16270, 771, 553, 12273, 267, 513, 6939, 729, 4362, 609, 519, 4608, 528, 32152, 1560, 540, 853, 269, 5845, 1580, 320, 3330, 267, 1141, 621, 1185, 9788, 585, 513, 8536, 1296, 563, 1805, 269, 5845, 1580, 320, 729, 1767, 547, 581, 8052, 1117, 538, 513, 4190, 1094, 653, 10921, 23469, 10571, 543, 519, 3532, 20416, 540, 24712, 267, 1419, 2404, 609, 519, 4703, 540, 25598, 267, 729, 4810, 676, 782, 1346, 1459, 563, 16920, 3737, 547, 519, 1560, 676, 513, 6094, 10260 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 2704, 770, 1515, 294, 1315, 11300, 12780, 3776, 15769, 723, 5697, 930, 521, 11170, 1782, 12504, 2257, 3785, 538, 11812, 540, 14400, 22069, 560, 823, 593, 4873, 476, 2641, 269, 11153, 616, 849, 3617, 585, 3214, 540, 782, 6502, 630, 18141, 1346, 8186, 8325, 936, 519, 4832, 2736, 32656, 1656, 1862, 712, 2828, 693, 10076, 4469, 1601, 12286, 834, 1428, 12085, 1411, 31598, 9894, 333, 1405, 5700, 6168, 519, 14400, 22069, 560, 823, 2437, 1519, 713, 1249, 912, 10454, 3047, 568, 693, 922, 9663, 1492, 560, 689, 519, 3141, 1282, 519, 14400, 22069, 560, 823, 7868, 14246, 540, 8999, 1067, 2501, 14311, 689, 519, 28550, 540, 519, 3047, 781, 7852, 267, 543, 711, 689, 875, 2673, 621, 568, 547, 519, 3141, 693, 1022, 2016, 942, 4799, 13425, 856, 519, 2233, 1805, 6621, 5816, 585, 10311, 593, 707, 5172, 3785, 543, 1265, 1007, 3785, 538, 938, 5741, 4855, 518, 2336, 763, 2233, 1805, 6621, 12243, 454, 763, 715, 23701, 6129, 6997, 454, 20055, 3744, 3589, 3859, 15420, 609, 8331, 781, 1239, 267, 2592, 543, 2645, 269, 2107, 1711, 707, 1378, 1382, 1788, 1210, 891, 2645, 543, 715, 23701, 781, 29433, 7044, 563, 300, 5237, 540, 3163, 454, 27852, 12187, 13772, 4032, 543, 3950, 5256, 11721, 24580, 3595, 13219, 538, 707, 1394, 13452, 585, 476, 1428, 3764, 513, 3781, 543, 3565, 547, 1382, 593, 519, 13664, 3892, 540, 891, 5172, 4832, 5503, 7786, 563, 291, 1046, 21708, 631, 2678, 454, 2026, 4166, 607, 519, 3141, 5036, 267, 519, 4832, 3781, 6607, 3091, 606, 11212, 1114, 267, 1016, 331, 830, 1995, 269, 634, 14730, 21708, 631, 2678, 630, 19989, 585, 1775, 4942, 2158, 264, 2636, 12504, 3744, 547, 3565, 547, 513, 2518, 4786, 540, 30148, 1769, 5533, 563, 5970, 596, 2938, 513, 21297, 8127, 593, 519, 11824, 2943, 286, 7797, 621, 547, 808, 11481, 31296, 910, 513, 1857, 6538, 25643, 5836, 2175, 269, 1452, 3173, 616, 2523, 5461, 538, 21297, 8127, 11067, 909, 267, 855, 789, 849, 3950, 2699, 29500, 267, 2695, 573, 543, 25850, 18843, 902, 267, 543, 824, 10832, 540, 5836, 1072, 563, 3240, 25332, 969, 2218, 267, 513, 12504, 2257, 3760, 267, 568, 5356, 1788, 5411, 1269, 273, 267, 1822, 538, 1863, 1239, 2533, 256, 4855, 856, 811, 563, 23086, 519, 2233, 1805, 6621, 12243, 454, 10387, 841, 281, 18078, 17106, 11333, 3820, 19534, 281, 5291, 2517, 2675, 626, 6621, 2593, 0, 6635, 8157, 10979, 631, 3881, 18748, 338, 16661, 18963, 2353, 3683, 3345, 9533, 454, 763, 8325, 7771, 538, 11848, 4262, 4672, 568, 7133, 711, 1152, 22260, 538, 23529, 855, 849, 4365, 3270, 782, 936, 519, 3345, 9533, 563, 288, 1353, 2063, 3018, 2982, 602, 4908, 540, 4832, 968, 4565, 12177, 892, 2621, 267, 5827, 540, 6721, 3665, 543, 24715, 656, 4365, 267, 814, 2799, 2094, 519, 476, 2735, 271, 338, 269, 901, 814, 8507, 538, 811, 3636, 2011, 936, 23529, 543, 519, 2837, 3017, 1063, 519, 11848, 543, 22465, 9533, 814, 9141, 2621, 899, 476, 1001, 273, 779, 2594, 6632, 4832, 538, 519, 5177, 563, 2690, 513, 4514, 4685, 281, 6115, 5403, 267, 26851, 267, 7186, 2622, 5240, 454, 2690, 811, 2916, 1689, 543, 2973, 1648, 3377, 267, 596, 666, 1246, 8693, 715, 1410, 639, 593, 12108, 543, 9365, 267, 543, 1129, 909, 585, 3232, 12182, 5240, 563, 24168, 631, 20846, 9338, 12569, 22244, 17395, 454, 8867, 8898, 26671, 4762, 3305, 570, 2316, 303, 2048, 8649, 870, 338, 547, 513, 670, 4007, 18734, 540, 5295, 689, 4658, 547, 8262, 6355, 20371, 23219, 1066, 20873, 9116, 1234, 915, 338, 595, 8712, 585, 8693, 7827, 7797, 454, 20458, 7827, 547, 654, 16582, 16186, 540, 8376, 4211, 541, 11538, 17018, 10181, 3996, 454, 14722, 17166, 11848, 7256, 10979, 16393, 2048, 4537, 8667, 547, 16680, 8899, 685, 901, 14400, 0, 288, 3209, 1935, 547, 6850, 1723, 698, 1637, 814, 1044, 2919, 538, 799, 1166, 665, 5108, 814, 1044, 4824, 269, 901, 814, 1044, 6913, 998, 22392, 519, 1604, 538, 799, 1166, 665, 568, 6850, 17057, 1227, 4646, 7258, 5688, 5314, 540, 19654, 4393, 269, 901, 3209, 1505, 936, 3699, 930, 540, 519, 2757, 7687, 540, 6671, 6850, 1723, 698, 1637, 2126, 971, 607, 282, 19650, 2627, 535, 537, 1782, 267, 22536, 3151, 267, 543, 1780, 10474, 269, 3245, 713, 1646, 267, 1166, 665, 3812, 814, 3254, 547, 581, 811, 14388, 547, 19852, 2188, 267, 1106, 3677, 12550, 13355, 27960, 267, 543, 723, 5488, 11175, 3928, 269, 901, 814, 8507, 538, 4824, 8764, 656, 8851, 3928, 267, 10156, 11175, 2053, 267, 543, 2706, 12641, 541, 1881, 2706, 333, 520, 656, 12531, 269, 4033, 5383, 1331, 513, 5786, 538, 3937, 11640, 543, 4389, 5826, 543, 1379, 4616, 3790, 609, 7222, 1764, 593, 3854, 543, 5665, 3790, 269, 898, 568, 11943, 602, 6850, 1723, 698, 1637, 2126, 998, 5688, 2213, 546, 3151, 568, 9120, 547, 2757, 6850, 1723, 698, 1637, 269, 910, 634, 6881, 568, 540, 1719, 547, 1346, 3168, 585, 8925, 547, 3114, 2126, 630, 1723, 698, 1637, 264, 663, 1507, 11640, 1949, 269, 910, 634, 6881, 12857, 513, 3209, 1505, 540, 6388, 540, 5082, 549, 1723, 698, 1637, 543, 922, 2640, 563, 301, 11065, 269, 634, 1344, 8659, 538, 713, 7127, 568, 3177, 676, 519, 1657, 18261, 267, 543, 1281, 711, 8209, 2992, 519, 5784, 543, 8369, 540, 519, 17404, 0, 31819, 1411, 654, 5896, 547, 5700, 6168, 23081, 14777, 4826, 269, 23081, 14777, 1216, 568, 1631, 2808, 3592, 513, 4235, 540, 519, 10971, 267, 799, 14767, 267, 952, 711, 23629, 1275, 267, 1287, 7067, 689, 782, 3676, 267, 1519, 2860, 269, 1772, 713, 3020, 267, 543, 1018, 568, 17310, 1216, 2731, 5827, 540, 888, 1432, 568, 23081, 14777, 4826, 888, 310, 7364, 568, 6158, 267, 602, 17310, 1216, 568, 519, 968, 331, 18612, 1439, 657, 11279, 540, 1762, 17310, 13869, 5613, 269, 1306, 519, 4829, 18009, 839, 267, 12772, 540, 3282, 9658, 1540, 676, 2941, 571, 2887, 883, 519, 1439, 657, 11279, 267, 543, 519, 5277, 7140, 883, 17310, 5144, 267, 1287, 713, 5144, 5394, 839, 543, 2182, 839, 269, 9232, 898, 568, 1419, 11821, 609, 17310, 5144, 267, 799, 568, 3812, 689, 519, 17870, 540, 18009, 2989, 17310, 13869, 4054, 630, 3697, 17310, 3282, 1070, 1247, 1216, 666, 1152, 581, 1336, 538, 3039, 10808, 563, 2005, 568, 24253, 543, 16919, 513, 3787, 6653, 609, 513, 13581, 2428, 1399, 8137, 269, 23081, 14777, 1216, 3568, 3362, 7558, 1043, 11950, 543, 32690, 630, 338, 18754, 543, 11379, 1070, 621, 568, 2808, 513, 1970, 23343, 12929, 1587, 1107, 4998, 585, 4896, 3238, 538, 5026, 269, 1280, 6476, 267, 596, 666, 1491, 606, 14793, 6776, 4235, 267, 476, 1789, 16720, 540, 799, 3568, 476, 277, 269, 1839, 737, 5632, 267, 476, 272, 269, 4037, 10101, 540, 4006, 267, 476, 274, 269, 4037, 31501, 540, 11379, 543, 476, 1724, 269, 4037, 31501, 540, 9770, 269, 2755, 476, 1789, 16720, 540, 17310, 1216, 3568, 476, 276, 269, 3393, 737, 5632, 267, 476, 272, 269, 274, 10101, 540, 4006, 267, 476, 8618, 31501, 540, 11379, 543, 476, 276, 269, 3393, 31501, 540, 9770, 1107, 1447, 4006, 267, 7864, 8477, 543, 811, 11379, 543, 9770, 563, 290, 665, 14777, 4826, 23531, 912, 268, 8324, 1107, 595, 267, 645, 272, 267, 645, 273, 267, 645, 274, 630, 13048, 1070, 645, 275, 267, 645, 276, 267, 645, 277, 543, 645, 280, 3248, 268, 12550, 324, 6123, 1107, 7513, 267, 11379, 267, 9770, 267, 13101, 267, 16247, 267, 16903, 3248, 268, 10250, 2609, 1107, 4401, 267, 13058, 267, 7601, 267, 22670, 267, 31093, 3248, 268, 9600, 1107, 15459, 9761, 7408, 267, 1395, 10494, 18260, 9761, 7408, 630, 18652, 268, 280, 1070, 4874, 12584, 18260, 9761, 7408, 630, 4802, 1961, 545, 543, 15060, 268, 277, 11850, 268, 3362, 7558, 1043, 11950, 3248, 268, 620, 21747, 6775, 3248, 268, 12708, 11254, 7408, 1107, 2415, 24100, 267, 1130, 710, 267, 2119, 696, 2684, 534, 267, 4307, 2643, 23750, 710, 267, 555, 516, 517, 710, 267, 8715, 542, 710, 267, 30897, 710, 267, 682, 1075, 710, 267, 568, 1961, 1075, 710, 543, 1277, 26593, 563, 290, 665, 14777, 1216, 543, 1973, 11919, 454, 14549, 1973, 593, 11919, 543, 8032, 2609, 17735, 538, 621, 1107, 2699, 1973, 2281, 609, 513, 1507, 2179, 540, 3043, 1973, 2281, 543, 6676, 7410, 269, 898, 568, 519, 2699, 1973, 2281, 602, 2285, 519, 1973, 513, 2699, 2681, 563, 5522, 553, 2742, 568, 519, 5277, 851, 540, 519, 1973, 602, 3568, 1216, 543, 519, 6878, 17735, 538, 621, 1107, 5946, 630, 531, 321, 6058, 267, 5895, 592, 1231, 543, 27417, 514, 4094, 264, 543, 824, 7135, 269, 6168, 476, 3445, 260, 540, 519, 11919, 568, 1216, 269, 769, 16955, 6878, 1118, 909, 827, 476, 273, 268, 274, 10065, 1452, 616, 524, 725, 630, 27845, 31956, 918, 266, 300, 326, 273, 31956, 6970, 273, 266, 264, 543, 606, 687, 630, 295, 4596, 274, 1700, 267, 1849, 1700, 267, 18161, 6246, 6629, 12569, 5655, 6629, 994, 29613, 320, 602, 17310, 1216, 666, 5372, 1973, 11919, 267, 21256, 1813, 547, 922, 13666, 4577, 3601, 1282, 2622, 2782, 4083, 267, 950, 1813, 547, 519, 3668, 540, 29649, 267, 17310, 1216, 729, 29689, 12499, 1597, 3585, 547, 2550, 267, 607, 1134, 607, 1282, 519, 2475, 2112, 609, 10476, 269, 1452, 941, 6595, 3800, 267, 2094, 538, 4641, 621, 568, 6251, 538, 5888, 547, 519, 5714, 3330, 519, 2699, 4703, 269, 1656, 1317, 540, 519, 1164, 1543, 540, 7513, 543, 13101, 267, 621, 568, 9090, 711, 5078, 585, 1004, 609, 8459, 5821, 543, 4049, 17236, 563, 6546, 568, 1946, 1631, 7189, 798, 711, 4363, 1210, 713, 1505, 267, 855, 693, 602, 942, 17310, 1216, 10710, 1082, 2729, 563, 2005, 814, 15934, 3601, 454, 290, 665, 14777, 1216, 3568, 14434, 602, 2149, 2281, 689, 3441, 269, 3194, 593, 2831, 267, 6534, 547, 13802, 267, 3254, 547, 12189, 1863, 18119, 267, 799, 1287, 798, 1100, 2800, 563, 2690, 1383, 267, 14148, 593, 513, 1164, 535, 28229, 2732, 941, 5701, 609, 17310, 1216, 269, 5131, 9097, 2534, 814, 8519, 267, 865, 324, 899, 1973, 2604, 267, 27831, 1938, 267, 543, 1973, 7378, 2157, 563, 12148, 267, 971, 2090, 609, 519, 7589, 540, 1004, 723, 711, 2943, 1044, 5342, 563, 2026, 2907, 5018, 267, 519, 5888, 540, 17310, 1216, 568, 4998, 585, 1004, 945, 616, 8362, 3238, 538, 5026, 267, 607, 621, 2337, 11177, 9770, 3666, 543, 11379, 538, 519, 1560, 630, 19491, 26299, 974, 3666, 1040, 13095, 333, 752, 12671, 621, 814, 1447, 9770, 630, 1492, 1292, 23386, 602, 2501, 609, 17570, 264, 982, 538, 5841, 5026, 10425, 267, 543, 1447, 11950, 267, 865, 621, 568, 5227, 547, 4235, 17310, 1216, 711, 1282, 2866, 267, 855, 1310, 1362, 269, 9603, 547, 922, 1164, 1216, 1543, 630, 11463, 15992, 621, 844, 523, 2583, 19818, 1134, 1510, 4929, 15353, 267, 543, 693, 519, 1482, 942, 2337, 547, 693, 2547, 13148, 1118, 909, 585, 2609, 4503, 609, 17570, 563, 13900, 1186, 9156, 689, 2168, 11851, 542, 454, 26773, 2866, 666, 1291, 547, 13101, 22930, 543, 267, 607, 513, 1267, 267, 25574, 267, 13110, 7953, 6794, 267, 543, 16081, 4771, 563, 9773, 6458, 543, 13101, 267, 799, 616, 8659, 538, 1804, 9424, 267, 711, 1152, 7794, 7633, 267, 855, 849, 948, 6091, 547, 1599, 7363, 543, 9156, 5488, 269, 769, 713, 2013, 267, 13101, 6411, 607, 513, 1098, 1602, 614, 1107, 621, 2337, 547, 4483, 7513, 543, 11379, 547, 519, 6091, 563, 290, 12682, 758, 514, 1231, 616, 10399, 602, 948, 2371, 1332, 269, 898, 568, 5156, 602, 891, 7135, 3500, 1524, 10172, 543, 616, 513, 1434, 4550, 2275, 22083, 6604, 269, 1717, 267, 1382, 593, 713, 1888, 568, 1869, 13385, 563, 290, 12682, 758, 514, 1231, 1107, 513, 1362, 540, 2030, 10399, 540, 519, 476, 277, 268, 3133, 641, 584, 710, 3126, 602, 12954, 1591, 6498, 630, 1097, 339, 758, 1149, 529, 1040, 2060, 713, 2702, 540, 22270, 514, 1231, 267, 741, 1292, 3252, 538, 519, 1646, 540, 2371, 616, 2404, 1107, 585, 1383, 267, 4509, 519, 3284, 673, 9496, 5789, 626, 655, 269, 769, 1840, 267, 519, 12214, 3252, 540, 22270, 514, 1231, 1331, 14242, 540, 3560, 540, 5567, 883, 519, 1591, 267, 22629, 540, 14694, 3597, 2208, 267, 543, 23646, 6978, 10172, 563, 11045, 2176, 9025, 1072, 543, 24506, 1973, 2604, 454, 7804, 9722, 17310, 1216, 24506, 27831, 1938, 543, 8501, 538, 519, 1973, 269, 2311, 2547, 1382, 5645, 856, 593, 14148, 267, 5795, 1175, 971, 2164, 269, 1403, 596, 4483, 713, 1184, 547, 513, 1268, 267, 1287, 621 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 888, 268, 6052, 8249, 281, 24997, 543, 6348, 7304, 523, 1168, 762, 454, 268, 7025, 10495, 454, 268, 2637, 13443, 3525, 1881, 5029, 3359, 630, 14875, 11675, 994, 268, 10871, 16958, 7025, 2037, 7593, 454, 268, 25115, 6987, 3555, 0, 3080, 17096, 2495, 2443, 21739, 519, 1034, 1419, 14437, 827, 835, 2443, 568, 2141, 547, 2047, 21102, 2576, 2474, 799, 616, 3116, 779, 27642, 789, 2731, 616, 16523, 267, 610, 267, 4244, 569, 267, 547, 1118, 946, 540, 18825, 1913, 602, 616, 3116, 779, 5310, 5310, 6148, 711, 1683, 873, 609, 5491, 269, 1452, 3527, 616, 20982, 8942, 547, 13587, 633, 267, 10123, 789, 798, 4755, 538, 1483, 1272, 269, 2859, 1419, 267, 855, 267, 2042, 8451, 689, 5310, 711, 689, 20982, 13817, 2265, 267, 855, 689, 17608, 610, 9073, 602, 616, 1416, 1652, 8806, 2285, 606, 1764, 540, 25718, 1317, 2959, 723, 2965, 333, 1406, 1044, 20295, 2094, 789, 1058, 563, 5629, 519, 2495, 713, 568, 6157, 1360, 1101, 10297, 971, 3527, 607, 20982, 17403, 267, 621, 568, 4277, 569, 606, 2653, 4305, 547, 12735, 3511, 1125, 538, 6266, 540, 2081, 799, 1223, 581, 1765, 602, 568, 3006, 23139, 16136, 2074, 269, 2659, 16929, 786, 4440, 723, 17096, 2638, 518, 1863, 950, 621, 2501, 547, 741, 946, 267, 543, 1082, 786, 1665, 1524, 2798, 585, 4057, 14327, 267, 1256, 621, 568, 6148, 6148, 711, 18532, 25718, 952, 789, 1174, 454, 6624, 16929, 7662, 596, 547, 13712, 519, 1568, 540, 824, 1004, 865, 602, 596, 1451, 547, 581, 513, 11001, 602, 568, 5683, 786, 711, 12735, 3511, 1125, 269, 32279, 267, 16929, 946, 513, 1863, 540, 5279, 17096, 602, 568, 2228, 610, 5310, 519, 3169, 3169, 1482, 17096, 3926, 547, 1118, 2386, 10453, 616, 1310, 8846, 269, 11048, 267, 609, 1082, 3785, 267, 26050, 267, 14609, 625, 267, 607, 1134, 607, 824, 3344, 540, 1272, 9648, 267, 621, 949, 581, 2352, 547, 2594, 1169, 3364, 269, 0, 5804, 519, 9976, 14787, 540, 13303, 5125, 267, 519, 1650, 540, 513, 7415, 855, 4625, 5667, 2426, 1895, 602, 1981, 539, 3388, 547, 948, 519, 1034, 7925, 454, 1103, 519, 2038, 476, 4572, 271, 338, 9624, 519, 30331, 10052, 540, 1284, 31483, 5125, 267, 513, 1507, 1895, 540, 4708, 762, 4998, 1235, 3459, 547, 2743, 267, 8026, 513, 9602, 267, 18497, 1272, 5059, 593, 1582, 21553, 2889, 22777, 269, 1280, 519, 1034, 851, 267, 789, 1185, 2097, 547, 917, 1142, 824, 1247, 11504, 2937, 2069, 5049, 538, 519, 2749, 540, 3647, 523, 269, 1809, 968, 1492, 25143, 2223, 607, 789, 1572, 741, 1895, 267, 1185, 3138, 11998, 17050, 910, 896, 519, 4287, 540, 741, 6205, 3203, 584, 10496, 10849, 267, 922, 2818, 12479, 547, 585, 613, 606, 4998, 2146, 602, 1131, 4196, 607, 513, 2203, 585, 2486, 693, 1804, 269, 1809, 609, 519, 607, 1417, 540, 519, 21647, 267, 519, 25143, 729, 7142, 547, 556, 24834, 10663, 922, 5692, 267, 2519, 3079, 593, 5356, 6351, 547, 519, 30201, 3176, 267, 5103, 519, 1390, 1981, 269, 4256, 2238, 24132, 689, 9683, 10969, 730, 6014, 3885, 1310, 26701, 718, 333, 25638, 267, 547, 11488, 28302, 5022, 543, 1612, 26118, 540, 1426, 543, 9660, 547, 1244, 677, 4315, 538, 5834, 13122, 267, 547, 12062, 532, 2797, 4744, 6342, 543, 7642, 593, 519, 2196, 563, 1432, 2968, 540, 713, 1895, 286, 1656, 875, 1058, 922, 23339, 910, 1419, 1507, 267, 9583, 28971, 6411, 540, 11587, 543, 6351, 910, 581, 11117, 538, 519, 6626, 1686, 540, 1272, 896, 519, 21647, 286, 14301, 593, 513, 11495, 1305, 540, 5892, 10002, 21242, 5022, 267, 1019, 2456, 267, 30123, 777, 334, 5359, 267, 824, 6054, 267, 543, 1010, 1378, 11042, 609, 15000, 267, 14787, 4460, 14986, 2006, 2982, 875, 543, 1946, 519, 25143, 9333, 809, 922, 5906, 960, 269, 898, 568, 606, 9058, 1650, 538, 922, 1378, 1318, 267, 855, 14986, 2006, 3217, 721, 4514, 267, 8716, 721, 547, 556, 20459, 519, 2035, 540, 4187, 543, 15063, 896, 519, 21647, 267, 2093, 1932, 1419, 554, 6359, 17977, 676, 2442, 18765, 540, 1367, 5869, 1143, 610, 2797, 4998, 1143, 269, 26361, 782, 267, 519, 25143, 779, 1650, 568, 835, 602, 24259, 1007, 1769, 593, 1018, 621, 5921, 547, 2709, 513, 4543, 1688, 538, 713, 4158, 942, 563, 27237, 292, 281, 901, 2140, 568, 513, 645, 1173, 664, 1433, 269, 645, 1173, 664, 2835, 616, 4430, 11891, 610, 4558, 7024, 689, 21101, 602, 616, 15739, 564, 569, 6825, 609, 513, 1507, 12297, 610, 1899, 593, 519, 6316, 540, 519, 3817, 543, 267, 1247, 1034, 616, 538, 1390, 2783, 267, 930, 2835, 949, 8858, 5634, 23815, 5957, 543, 15237, 269, 1358, 949, 849, 723, 513, 3902, 6529, 518, 593, 621, 689, 519, 3312, 4558, 621, 729, 8120, 689, 269, 769, 4686, 2665, 519, 4890, 3382, 540, 519, 1433, 1522, 711, 6474, 519, 835, 538, 519, 4159, 4605, 269, 1280, 811, 1344, 267, 3643, 3776, 8605, 2985, 563, 18814, 547, 1082, 21101, 711, 3246, 513, 8225, 1592, 3902, 519, 8225, 1592, 3902, 3254, 568, 606, 16759, 1759, 2390, 519, 2475, 1592, 3902, 16611, 676, 519, 1699, 5385, 2557, 269, 0, 3963, 1281, 1250, 2837, 2542, 3100, 25619, 888, 2414, 1491, 606, 7525, 6482, 267, 596, 1590, 1832, 519, 2011, 3001, 1472, 519, 2837, 9300, 269, 1403, 972, 568, 513, 2178, 30089, 267, 1175, 1448, 519, 918, 652, 7758, 883, 519, 2842, 269, 1403, 972, 568, 1100, 2842, 267, 18711, 519, 918, 652, 7758, 1472, 538, 513, 5858, 593, 922, 561, 1415, 731, 610, 6385, 5951, 621, 1394, 543, 8521, 538, 1688, 269, 901, 5849, 602, 519, 9300, 3800, 519, 2837, 540, 519, 2011, 2864, 982, 519, 2837, 540, 519, 2013, 563, 21446, 8271, 267, 952, 596, 723, 942, 267, 1450, 519, 918, 652, 7758, 547, 1964, 1141, 596, 1616, 547, 2268, 519, 2011, 2837, 630, 27237, 538, 707, 1688, 264, 2394, 519, 2013, 2837, 3160, 3278, 609, 519, 2011, 2837, 269, 1879, 3160, 1242, 267, 519, 4159, 786, 1224, 513, 3586, 1871, 269, 2142, 3222, 602, 713, 1223, 1491, 607, 1279, 607, 8938, 3764, 269, 0, 22139, 11114, 9598, 1807, 13690, 808, 784, 1133, 20374, 689, 519, 1857, 3750, 585, 811, 982, 3368, 540, 4989, 267, 799, 17275, 513, 10917, 652, 540, 25127, 593, 1010, 12556, 269, 9012, 5359, 10704, 593, 1010, 1072, 267, 11021, 646, 1185, 22734, 513, 7762, 3481, 5106, 282, 693, 2547, 835, 2923, 17752, 1256, 1179, 4327, 602, 646, 1185, 5747, 563, 15447, 333, 585, 14027, 922, 6046, 9604, 1982, 538, 1219, 4800, 540, 3486, 20320, 3646, 267, 13690, 779, 12512, 729, 849, 1336, 25964, 538, 476, 1001, 279, 676, 513, 772, 2529, 269, 5313, 5480, 585, 519, 25711, 543, 2669, 540, 11158, 288, 2875, 32572, 24953, 321, 1512, 563, 4002, 2904, 476, 273, 267, 13690, 31272, 18193, 538, 1533, 17898, 29107, 2923, 6337, 267, 11504, 513, 16008, 16287, 519, 12032, 540, 513, 13226, 2030, 5087, 540, 12877, 784, 344, 836, 267, 1574, 532, 930, 4145, 827, 519, 4182, 779, 6617, 563, 2414, 948, 12172, 713, 3510, 267, 11158, 288, 4653, 5342, 606, 4757, 5967, 609, 9478, 6423, 2917, 267, 606, 13930, 7548, 538, 519, 2160, 540, 9098, 779, 4856, 14585, 534, 4972, 540, 3778, 945, 24870, 538, 519, 1686, 540, 9705, 267, 519, 5545, 7276, 543, 5101, 7489, 2825, 1686, 563, 8450, 2917, 568, 4867, 1603, 513, 1433, 593, 519, 962, 2728, 5211, 10465, 1063, 3345, 9705, 543, 3624, 1282, 519, 1974, 476, 6245, 275, 547, 476, 3707, 276, 563, 304, 269, 1548, 6941, 519, 2487, 2923, 1719, 543, 25127, 827, 519, 1141, 629, 8083, 540, 3345, 11114, 6205, 13690, 808, 784, 1133, 888, 288, 269, 13690, 808, 784, 1133, 779, 2487, 476, 2641, 6377, 9000, 689, 1857, 2621, 19430, 7920, 2923, 25127, 540, 513, 2101, 4576, 610, 1256, 1010, 2669, 267, 1152, 547, 723, 891, 32422, 26632, 622, 950, 13690, 31272, 18193, 538, 513, 1857, 16008, 16287, 519, 6679, 540, 513, 1007, 13226, 12051, 563, 1607, 729, 15991, 519, 1101, 942, 513, 3345, 11114, 6205, 779, 10151, 18956, 689, 519, 1857, 30425, 19430, 7080, 545, 687, 540, 3978, 4576, 267, 24835, 659, 2787, 610, 31587, 12512, 1689, 269, 681, 636, 832, 849, 2220, 597, 1194, 950, 13690, 20374, 689, 519, 1857, 2070, 585, 513, 942, 538, 476, 1001, 275, 267, 1152, 547, 9583, 968, 2492, 1394, 689, 519, 4666, 892, 476, 6078, 2395, 2663, 563, 4517, 621, 779, 711, 1175, 13690, 779, 1141, 629, 8083, 610, 519, 6214, 540, 3345, 11114, 5718, 602, 4482, 519, 4639, 779, 3007, 269, 589, 29519, 594, 5063, 6026, 11158, 288, 896, 6588, 1091, 593, 3345, 9705, 2141, 3459, 609, 513, 968, 22139, 9705, 538, 519, 3377, 892, 4901, 1141, 1053, 3838, 1018, 789, 1185, 1224, 5063, 827, 3345, 9705, 269, 1358, 782, 3533, 4121, 602, 5375, 22906, 609, 713, 2197, 1500, 1256, 519, 1034, 9583, 27217, 3377, 3078, 950, 3345, 9705, 729, 3773, 547, 519, 3575, 269, 594, 3982, 569, 3314, 835, 581, 332, 4310, 1362, 6643, 827, 513, 3377, 2376, 593, 968, 20776, 325, 532, 538, 3345, 9705, 3034, 1432, 568, 621, 267, 1287, 267, 827, 713, 16957, 968, 615, 2466, 10806, 892, 543, 922, 6214, 602, 8992, 971, 22906, 286, 1280, 1346, 540, 721, 538, 519, 772, 2529, 1421, 519, 14891, 4658, 779, 6243, 540, 9705, 267, 519, 4013, 2012, 540, 1018, 649, 1289, 968, 22139, 9705, 2223, 814, 1044, 14578, 16678, 1242, 607, 606, 1202, 13062, 17014, 12019, 2782, 3180, 719, 602, 267, 538, 938, 7104, 4337, 5209, 267, 2488, 519, 3501, 25710, 4185, 547, 938, 3854, 2065, 543, 11180, 2486, 269, 4634, 607, 19797, 3624, 814, 8499, 17947, 2518, 16851, 267, 543, 1977, 14666, 1107, 693, 2547, 840, 1790, 663, 2438, 1107, 616, 11488, 17749, 533, 923, 689, 519, 10754, 540, 32147, 3570, 267, 519, 667, 11266, 298, 3788, 8149, 547, 513, 9709, 4346, 543, 9395, 2000, 1342, 539, 28974, 2486, 602, 4667, 267, 693, 2547, 547, 721, 267, 899, 1945, 2786, 856, 540, 513, 476, 4198, 271, 338, 3377, 516, 601, 540, 519, 8168, 5742, 563, 1607, 267, 5916, 609, 519, 667, 11266, 298, 779, 1646, 540, 6046, 9604, 267, 922, 4050, 31008, 585, 10514, 2880, 4013, 605, 743, 600, 725, 267, 607, 1134, 607, 519, 2823, 569, 5920, 540, 922, 5767, 30552, 2880, 6205, 267, 2306, 519, 2197, 606, 782, 3562, 334, 12656, 2739, 1641, 585, 711, 1152, 4987, 2146, 1526, 1716, 566, 267, 855, 849, 3735, 5991, 697, 18792, 543, 3377, 5662, 19240, 689, 824, 5571, 543, 811, 2673, 3562, 25571, 15166, 1886, 1127, 899, 519, 5046, 268, 866, 6855, 563, 304, 269, 11512, 13690, 808, 784, 1133, 267, 875, 646, 3893, 547, 1141, 646, 568, 267, 1010, 1920, 1899, 267, 1018, 646, 568, 899, 543, 1946, 646, 568, 602, 1259, 563, 288, 269, 634, 1699, 10966, 26064, 540, 519, 667, 11266, 298, 267, 13690, 808, 784, 1133, 267, 568, 519, 5067, 540, 3105, 3345, 11114, 10966, 26064, 13690, 808, 784, 19129, 543, 1178, 2738, 517, 540, 13690, 19129, 590, 2426, 267, 3345, 9705, 779, 1101, 10966, 26064, 689, 519, 2197, 779, 15713, 538, 476, 3707, 279, 2394, 476, 1960, 275, 269, 3345, 9705, 568, 2189, 1851, 19797, 2829, 538, 922, 2259, 540, 513, 1062, 540, 30552, 2880, 19588, 585, 922, 1283, 5718, 269, 901, 729, 711, 2141, 606, 12491, 527, 1464, 282, 538, 476, 3192, 271, 267, 835, 3345, 11114, 2797, 8675, 4330, 22420, 19588, 607, 968, 320, 5114, 776, 2688, 13736, 538, 7518, 5511, 7239, 1848, 1809, 676, 602, 1482, 8717, 13690, 19129, 590, 2426, 1185, 849, 5693, 4956, 602, 519, 1655, 1259, 547, 5150, 1010, 9371, 729, 547, 19081, 1010, 5067, 267, 13690, 808, 784, 19129, 267, 547, 8263, 1379, 267, 543, 1379, 814, 7283, 538, 519, 13690, 1920, 2479, 2094, 563, 304, 269, 21518, 13690, 808, 784, 1133, 547, 10393, 5884, 610, 1831, 24835, 659, 18469, 267, 1018, 798, 649, 538, 519, 4639, 917, 827, 945, 1131, 1491, 1010, 1747, 888, 288, 269, 634, 2243, 540, 19588, 568, 606, 4277, 543, 1271, 835, 269, 25392, 519, 30552, 2880, 1505, 540, 19588, 602, 814, 7173, 9229, 3976, 2484, 538, 3345, 9705, 267, 621, 4667, 2693, 602, 1379, 1131, 5555, 1780, 547, 835, 540, 13690, 779, 1453, 269, 1809, 952, 13690, 808, 784, 1133, 941, 547, 5884, 16349, 569, 267, 607, 1082, 1179, 4327, 2063, 3018, 267, 1287, 13690, 779, 1699, 1453, 1131, 581, 2484, 1932, 1762, 547, 8263, 519, 25136, 540, 5718, 563, 298, 574, 779, 11078, 267, 13690, 962, 334, 808, 784, 267, 814, 2799, 538, 23146, 538, 519, 1857 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 10214, 1498, 1261, 3091, 873, 1100, 25863, 267, 2696, 568, 267, 5310, 19599, 547, 721, 267, 5461, 538, 3450, 519, 23109, 563, 2690, 1454, 540, 519, 6196, 11620, 267, 28556, 22646, 543, 22679, 1600, 741, 1378, 16322, 2886, 827, 519, 11419, 602, 1131, 2097, 998, 519, 7985, 902, 540, 2441, 543, 519, 7766, 1350, 1559, 269, 2353, 540, 713, 1434, 3377, 267, 799, 8834, 1767, 1185, 1044, 840, 3737, 547, 1010, 1528, 3988, 267, 941, 968, 628, 902, 883, 799, 23109, 1279, 547, 1413, 892, 630, 272, 8834, 476, 272, 281, 1015, 268, 1321, 1916, 4002, 519, 3444, 4906, 5747, 585, 1346, 945, 941, 4666, 538, 741, 512, 4046, 13293, 269, 1261, 666, 576, 1194, 968, 1492, 2594, 540, 7963, 602, 11542, 1996, 721, 609, 922, 3656, 7569, 269, 901, 646, 1305, 11735, 267, 562, 9430, 621, 547, 519, 3444, 1848, 901, 568, 2441, 779, 960, 585, 721, 269, 1809, 538, 3257, 865, 1261, 849, 968, 4134, 28534, 519, 17710, 543, 8128, 267, 543, 2322, 873, 547, 1930, 17847, 267, 676, 17636, 532, 936, 873, 892, 630, 8624, 1601, 2103, 476, 273, 281, 1724, 268, 1428, 1040, 2311, 519, 3444, 2696, 6026, 519, 23109, 513, 3992, 563, 2467, 568, 1776, 3992, 1869, 2469, 593, 269, 2696, 568, 8744, 547, 1769, 585, 3025, 1018, 568, 519, 9814, 540, 3571, 1544, 269, 901, 968, 18661, 945, 2813, 782, 1919, 892, 5170, 2324, 968, 810, 602, 998, 519, 5939, 519, 32032, 7326, 540, 2696, 1522, 1631, 581, 1500, 1634, 547, 519, 17710, 543, 8128, 538, 31676, 4025, 892, 630, 22977, 1127, 2103, 476, 274, 281, 280, 268, 1015, 1040, 4911, 1564, 1451, 4245, 607, 2696, 13976, 3571, 5939, 563, 1607, 11744, 960, 4422, 782, 519, 1259, 1394, 547, 3798, 523, 269, 2696, 5143, 519, 15743, 267, 968, 296, 786, 2322, 679, 332, 640, 1063, 596, 543, 519, 4807, 267, 543, 1063, 707, 6079, 543, 1200, 6079, 2223, 543, 596, 616, 2469, 547, 6336, 269, 1284, 2356, 1810, 1406, 4766, 2696, 779, 13414, 607, 968, 8243, 871, 2911, 2223, 855, 713, 568, 10143, 29405, 547, 519, 1583, 25871, 269, 634, 4807, 779, 6079, 17993, 563, 2690, 5481, 2696, 814, 1044, 6158, 713, 1259, 547, 31111, 23109, 543, 1261, 5170, 547, 1118, 3571, 1448, 676, 796, 1746, 519, 5939, 538, 519, 22900, 4149, 331, 9707, 267, 938, 14205, 1640, 267, 4906, 2441, 563, 763, 16285, 540, 2696, 543, 519, 7092, 540, 2367, 568, 711, 606, 4081, 3635, 269, 23323, 5390, 12544, 1434, 2696, 779, 1852, 936, 812, 779, 9409, 630, 663, 2470, 779, 16160, 3196, 602, 9292, 1206, 2367, 28931, 20813, 1258, 1206, 721, 1169, 1554, 269, 1403, 649, 2161, 1261, 666, 3247, 621, 267, 1946, 3085, 1406, 1261, 286, 1403, 649, 2161, 1261, 666, 711, 3247, 621, 267, 1141, 666, 649, 979, 585, 948, 888, 296, 4076, 2141, 1336, 621, 5363, 547, 3314, 602, 519, 1034, 9409, 3364, 602, 814, 2479, 5949, 538, 519, 1158, 729, 9709, 676, 2696, 1354, 1261, 2813, 519, 1158, 269, 3143, 25711, 814, 2479, 1044, 811, 24407, 982, 1018, 519, 7980, 1705, 547, 4906, 267, 543, 676, 1346, 16398, 649, 616, 646, 4705, 269, 3143, 3557, 7254, 794, 539, 3854, 10751, 814, 2479, 1044, 811, 17351, 610, 12638, 748, 538, 8247, 267, 543, 676, 2441, 779, 2669, 649, 917, 2696, 779, 15962, 8247, 269, 2696, 1031, 519, 1034, 646, 29532, 5609, 540, 812, 547, 6718, 519, 20778, 540, 812, 563, 763, 19980, 956, 6444, 2696, 779, 1688, 538, 519, 16961, 32267, 542, 269, 8834, 840, 3737, 593, 19999, 1815, 739, 912, 10472, 4906, 267, 9447, 909, 2687, 547, 519, 17386, 1544, 543, 2062, 32474, 540, 2696, 267, 596, 16961, 1881, 543, 7166, 676, 519, 3946, 540, 1876, 1652, 2367, 269, 630, 8002, 338, 476, 273, 281, 2537, 994, 763, 21071, 7281, 539, 538, 1769, 540, 2392, 652, 1588, 912, 1721, 5963, 538, 713, 2749, 972, 941, 10356, 1927, 1996, 707, 13411, 22700, 4906, 267, 7247, 596, 606, 31212, 267, 1312, 4173, 617, 543, 30716, 3780, 15815, 622, 267, 2059, 609, 519, 22918, 3796, 543, 519, 9082, 540, 5840, 267, 547, 798, 8726, 707, 1688, 543, 707, 1544, 1185, 2392, 652, 1441, 547, 1491, 1747, 269, 630, 8002, 338, 476, 275, 281, 2767, 1700, 2764, 994, 18661, 711, 1152, 666, 946, 519, 9409, 540, 2367, 267, 1261, 5921, 547, 269, 1261, 20217, 721, 547, 3314, 519, 18710, 540, 519, 3444, 1700, 3602, 1261, 2966, 519, 10700, 4159, 540, 18710, 1700, 553, 649, 3548, 519, 3694, 543, 4235, 519, 9174, 1927, 269, 0, 763, 29336, 3578, 7412, 720, 454, 19604, 1245, 645, 269, 29336, 3578, 267, 2278, 540, 519, 1433, 267, 29336, 3578, 7731, 267, 476, 4198, 280, 267, 5156, 602, 519, 2012, 29336, 3578, 630, 4944, 8215, 8938, 1114, 2081, 1070, 729, 3144, 689, 834, 4133, 540, 29336, 3578, 2437, 513, 1895, 540, 3484, 560, 1737, 338, 4092, 538, 519, 3046, 3415, 540, 667, 1276, 531, 538, 11412, 325, 4319, 28790, 267, 10430, 269, 901, 568, 4092, 827, 476, 1321, 5195, 689, 519, 4099, 540, 29161, 543, 827, 2947, 5195, 5045, 540, 519, 595, 569, 1372, 5211, 538, 4190, 544, 3233, 4133, 269, 1403, 29733, 645, 269, 29336, 3578, 568, 4977, 267, 1287, 782, 29336, 3578, 338, 616, 30980, 563, 763, 2495, 543, 5169, 540, 519, 1747, 2012, 267, 29336, 3578, 267, 568, 7164, 269, 24764, 538, 834, 4133, 540, 29336, 3578, 257, 568, 513, 9543, 2006, 2777, 1572, 834, 290, 1551, 3578, 5600, 1701, 898, 568, 2347, 609, 513, 9856, 5264, 693, 519, 13675, 540, 519, 535, 10642, 1858, 540, 519, 10040, 543, 519, 2777, 18795, 538, 513, 9240, 557, 540, 4054, 269, 3600, 637, 540, 544, 3233, 4133, 3295, 519, 3959, 543, 621, 568, 1767, 547, 581, 607, 17681, 2221, 607, 621, 729, 4080, 547, 723, 1044, 538, 519, 476, 8182, 271, 781, 543, 476, 10204, 271, 781, 563, 32481, 476, 15433, 276, 267, 3703, 22477, 8118, 909, 24914, 538, 772, 3149, 518, 267, 8832, 8581, 269, 3509, 29703, 3576, 5413, 540, 519, 682, 553, 762, 2244, 267, 1519, 930, 540, 519, 29336, 3578, 338, 689, 11412, 325, 4319, 28790, 269, 3502, 782, 540, 519, 29336, 3578, 338, 28953, 547, 8581, 267, 930, 18423, 3297, 563, 2005, 568, 1634, 602, 519, 2062, 321, 8986, 540, 519, 29336, 3578, 338, 945, 3357, 547, 3013, 3576, 519, 4316, 547, 25755, 519, 23505, 720, 538, 7187, 8581, 563, 9961, 519, 3703, 11866, 538, 519, 2038, 476, 10204, 271, 781, 267, 519, 29703, 267, 607, 1134, 607, 519, 3465, 2421, 614, 2103, 941, 649, 776, 543, 27209, 676, 519, 9993, 5116, 593, 873, 676, 519, 22477, 543, 519, 5783, 540, 4789, 269, 1358, 3459, 547, 1413, 1472, 585, 513, 1007, 543, 1732, 1753, 1141, 789, 1223, 2972, 811, 5191, 540, 4984, 269, 769, 476, 15094, 278, 267, 519, 24663, 267, 6276, 29336, 3578, 267, 540, 645, 958, 27926, 514, 3474, 880, 267, 4165, 3234, 6019, 267, 8581, 267, 5747, 269, 3571, 14930, 267, 19124, 543, 14088, 630, 272, 264, 30774, 547, 3013, 593, 519, 6928, 267, 667, 559, 580, 775, 540, 29161, 267, 538, 5130, 540, 476, 15094, 280, 269, 1879, 789, 1101, 8452, 538, 519, 1007, 2197, 267, 519, 4505, 21152, 5219, 547, 873, 607, 9721, 267, 799, 789, 9244, 759, 5034, 267, 1202, 12371, 2864, 602, 789, 941, 29703, 269, 13536, 267, 789, 941, 2808, 13677, 16927, 16194, 610, 8857, 577, 16927, 16194, 563, 3849, 600, 29336, 3578, 267, 630, 272, 1070, 4535, 1472, 476, 10204, 275, 267, 4165, 3234, 6019, 267, 8581, 267, 5747, 476, 9965, 273, 267, 538, 22050, 517, 6019, 267, 3345, 10491, 269, 1261, 9310, 10906, 2142, 3430, 773, 267, 8250, 540, 3627, 2142, 3430, 773, 269, 14088, 543, 10906, 1185, 5722, 1453, 269, 634, 3791, 1126, 267, 3957, 7917, 29336, 3578, 630, 273, 1070, 4535, 476, 14690, 277, 267, 5747, 476, 8687, 276, 267, 9310, 10906, 18722, 269, 1358, 1185, 8370, 1453, 269, 7917, 543, 10906, 781, 18749, 1126, 729, 513, 5067, 3957, 12138, 29336, 3578, 630, 274, 1070, 4535, 476, 9965, 275, 267, 3345, 10491, 267, 9310, 27211, 4432, 9469, 538, 476, 8687, 279, 267, 543, 6410, 547, 18039, 6019, 267, 17665, 563, 20694, 6387, 543, 27211, 1185, 8370, 1453, 267, 543, 741, 8772, 1126, 729, 513, 5067, 3957, 7338, 29336, 3578, 630, 275, 1040, 7338, 729, 4535, 538, 23885, 6019, 267, 11908, 267, 538, 476, 8687, 275, 269, 634, 476, 5908, 271, 2475, 17227, 8638, 7338, 9310, 547, 595, 2106, 628, 807, 7788, 853, 990, 718, 267, 519, 8250, 540, 5261, 853, 990, 718, 543, 595, 2106, 628, 807, 570, 23628, 590, 22201, 841, 269, 2991, 595, 2106, 628, 807, 7788, 781, 2669, 538, 476, 7277, 275, 267, 7338, 2451, 1010, 2185, 1453, 609, 12559, 565, 558, 594, 269, 853, 990, 718, 267, 513, 7015, 540, 595, 2106, 628, 807, 7788, 267, 543, 4682, 1394, 547, 21701, 6019, 267, 17665, 269, 7338, 262, 1141, 629, 8083, 729, 7164, 676, 1010, 1920, 543, 18939, 585, 1082, 1296, 2394, 646, 729, 1336, 538, 519, 476, 5908, 271, 17227, 5638, 23493, 538, 631, 4115, 6019, 267, 17665, 267, 609, 2034, 7385, 543, 1079, 811, 1453, 269, 769, 476, 6977, 273, 267, 12559, 565, 558, 594, 269, 853, 990, 718, 6410, 1010, 1920, 267, 2059, 609, 519, 29336, 3578, 1453, 267, 689, 18039, 6019, 267, 17665, 547, 570, 1575, 601, 334, 267, 14967, 269, 1261, 729, 513, 14012, 543, 646, 25374, 585, 1010, 11078, 781, 1453, 2394, 789, 941, 4079, 563, 6097, 547, 519, 476, 5908, 271, 2475, 17227, 267, 7338, 543, 1010, 2034, 7385, 267, 6307, 700, 269, 834, 303, 14709, 257, 18628, 267, 543, 741, 1453, 941, 538, 3057, 542, 6019, 267, 17665, 269, 1358, 1185, 513, 2698, 540, 5216, 1453, 269, 2290, 540, 519, 1453, 729, 513, 5067, 267, 5261, 29336, 3578, 630, 276, 1070, 4535, 5147, 476, 1789, 267, 476, 7277, 279, 267, 3057, 542, 6019, 267, 17665, 269, 1261, 9310, 6307, 7200, 595, 2211, 710, 16019, 267, 8250, 540, 3627, 808, 28771, 16019, 543, 9253, 25475, 595, 2211, 710, 717, 2335, 269, 630, 4322, 717, 534, 985, 616, 14360, 1394, 547, 26652, 538, 634, 717, 2335, 9198, 725, 676, 661, 850, 523, 717, 2335, 538, 476, 1960, 273, 4700, 5261, 543, 6307, 7200, 1185, 2185, 1453, 269, 634, 9510, 267, 513, 5067, 3957, 3627, 7338, 29336, 3578, 630, 277, 1070, 729, 4535, 5239, 476, 2918, 267, 476, 6942, 276, 267, 538, 5842, 5112, 6019, 267, 17665, 630, 852, 19681, 541, 6019, 1040, 1261, 9310, 2506, 1067, 8895, 321, 805, 327, 6519, 267, 4535, 4864, 476, 1691, 267, 476, 6942, 278, 269, 2701, 729, 519, 454, 323, 5922, 540, 4024, 773, 654, 269, 6519, 543, 13162, 1975, 745, 328, 749, 630, 16269, 2760, 9310, 1916, 11990, 7338, 543, 2506, 1067, 1185, 8370, 1453, 269, 1452, 8370, 1453, 616, 519, 3237, 540, 519, 29336, 3578, 338, 945, 13984, 519, 476, 1960, 278, 29336, 3578, 22653, 542, 538, 19681, 541, 6019, 267, 17665, 269, 5903, 539, 2630, 616, 891, 8370, 1453, 912, 272, 269, 9253, 25475, 661, 1492, 331, 29336, 3578, 267, 4535, 5181, 476, 272, 267, 476, 6245, 278, 267, 9310, 593, 5437, 476, 1839, 267, 476, 4572, 274, 267, 547, 8361, 700, 6856, 2782, 5585, 267, 4535, 2904, 476, 1724, 267, 476, 6642, 279, 563, 273, 269, 5261, 24898, 29336, 3578, 267, 4535, 4728, 476, 277, 267, 476, 5002, 271, 267, 9310, 593, 5181, 476, 2537, 267, 476, 4572, 274, 267, 547, 20653, 1067, 4432, 332, 732, 3733, 619, 563, 274, 269, 31701, 322, 773, 17451, 1467, 29336, 3578, 267, 4535, 5437, 476, 866, 267, 476, 5002, 274, 267, 9310, 593, 5130, 476, 1626, 267, 476, 4572, 274, 267, 547, 18039, 23765, 8055, 563, 275, 269, 7085, 773, 14105, 29336, 3578, 267, 4535, 476, 5002, 277, 267, 9310, 593, 2904, 476, 1240, 267, 476, 4350, 271, 267, 547, 3057, 4802, 674, 14979, 333, 563, 276, 269, 18844, 12340, 17555, 29336, 3578, 267, 4535, 4873, 476, 273, 267, 476, 5002, 280, 267, 9310, 593, 5437, 476, 2918, 267, 476, 4350, 273, 267, 547, 24898, 29527, 11875, 328, 2714, 563, 277, 269, 4024, 773, 10557, 29336, 3578, 267, 4535, 5437, 476, 1839, 267, 476, 4489, 272, 267, 9310, 593, 5412, 476, 275, 267, 476, 3707, 278, 267, 547, 20306, 773, 681, 9926, 2088, 13177, 267, 4535, 2904, 476, 1839, 267, 476, 4572, 274, 563, 278, 269, 1546, 28838, 18039, 29336, 3578, 267, 4535, 5437, 476, 276, 267, 476, 4489, 277, 267, 9310, 547 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 661, 12839, 563, 5085, 296, 918, 269, 11553, 21201, 267, 11536, 304, 1421, 454, 11266, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 292, 743, 2354, 525, 257, 607, 851, 540, 834, 289, 7495, 312, 267, 631, 18853, 1299, 9501, 7644, 3951, 1315, 8330, 14347, 1315, 9710, 8113, 8554, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 1012, 4197, 12430, 22953, 609, 5124, 692, 30791, 9695, 568, 513, 2241, 543, 4922, 1031, 1826, 540, 16762, 2079, 269, 898, 781, 513, 8579, 1505, 602, 2636, 721, 547, 1353, 3347, 1063, 1079, 6024, 630, 31642, 5511, 264, 4632, 269, 769, 713, 1770, 267, 649, 3513, 1451, 875, 547, 946, 5124, 781, 3684, 1565, 5399, 267, 2387, 12921, 16753, 12452, 547, 1628, 513, 5276, 9695, 2203, 543, 1118, 11236, 780, 2162, 7383, 532, 23905, 543, 15775, 4578, 692, 2171, 3513, 1376, 676, 1104, 532, 519, 2556, 8021, 543, 15205, 938, 10471, 269, 634, 2387, 2903, 10734, 10667, 13237, 1599, 689, 2387, 12921, 16753, 6155, 21648, 1115, 319, 2488, 519, 11785, 24184, 10471, 267, 799, 3568, 1344, 827, 8075, 538, 1585, 11785, 1016, 31755, 780, 3499, 7090, 454, 5814, 21795, 607, 19073, 454, 5814, 11885, 607, 5286, 454, 5228, 28189, 6155, 21648, 1115, 1104, 4452, 10734, 10667, 454, 5228, 28189, 269, 15035, 31200, 1104, 12430, 8802, 1833, 692, 258, 5192, 1239, 454, 11907, 815, 4452, 10734, 10667, 4590, 4206, 815, 19073, 6185, 1092, 20988, 16597, 21606, 267, 9587, 284, 11907, 8807, 324, 1155, 5332, 1868, 994, 4206, 9131, 339, 13759, 11172, 815, 1239, 6745, 13759, 454, 7884, 763, 10471, 2882, 476, 1724, 2934, 267, 971, 607, 6760, 2557, 267, 3328, 1297, 540, 11623, 267, 543, 3845, 547, 7694, 7740, 269, 3776, 3804, 568, 547, 3589, 519, 11667, 1871, 540, 8227, 268, 31039, 5321, 630, 1492, 1412, 339, 13759, 262, 4756, 6393, 2162, 590, 5902, 1154, 4578, 883, 9751, 543, 13281, 30498, 692, 6524, 2679, 938, 2203, 267, 649, 991, 547, 8237, 519, 1239, 883, 513, 2866, 1305, 543, 513, 4152, 1305, 269, 634, 2866, 1305, 568, 1031, 547, 5721, 519, 2203, 267, 1247, 519, 4152, 1305, 568, 1031, 547, 6218, 922, 2773, 269, 1284, 3513, 946, 606, 476, 3199, 270, 736, 8237, 267, 2495, 476, 3199, 260, 540, 519, 1239, 786, 581, 1031, 585, 2866, 543, 476, 736, 260, 585, 4152, 780, 3499, 7090, 454, 5228, 28189, 6230, 617, 601, 26000, 3005, 1104, 5721, 15305, 5334, 5902, 692, 258, 590, 5902, 1239, 454, 311, 17601, 267, 2473, 15305, 267, 586, 17601, 267, 586, 15305, 815, 5721, 15305, 5334, 5902, 29254, 6155, 1886, 3488, 339, 13759, 3299, 7852, 284, 272, 1070, 17093, 9131, 339, 13759, 28710, 1449, 15481, 284, 271, 269, 273, 267, 4351, 26077, 284, 271, 994, 7884, 2162, 8490, 513, 12430, 22953, 7844, 692, 3086, 602, 649, 723, 938, 1239, 4712, 267, 649, 666, 1628, 938, 5276, 9695, 2203, 269, 589, 5276, 9695, 2203, 568, 513, 2203, 602, 9060, 519, 1655, 5276, 2078, 1063, 513, 8200, 4756, 630, 1492, 4756, 649, 1616, 547, 3589, 264, 543, 835, 610, 811, 4830, 4632, 630, 1492, 4632, 649, 946, 547, 1118, 11236, 6393, 1103, 5124, 267, 649, 666, 1711, 513, 5276, 9695, 2203, 1210, 519, 2387, 30791, 8802, 1833, 13237, 1599, 689, 2387, 12921, 16753, 269, 15035, 31200, 18269, 1284, 1287, 3514, 519, 2203, 547, 938, 2866, 1239, 1210, 519, 2387, 7257, 13237, 1505, 780, 3499, 7090, 454, 258, 12706, 513, 12605, 2203, 454, 15035, 31200, 815, 12430, 8802, 1833, 14061, 7257, 11583, 17601, 267, 586, 17601, 994, 7884, 2162, 4197, 519, 12430, 22953, 17817, 692, 763, 5276, 9695, 2203, 9060, 519, 1655, 3514, 1899, 267, 799, 568, 6719, 676, 519, 3830, 1384, 16465, 344, 815, 536, 318, 271, 1341, 536, 318, 272, 20080, 318, 272, 1341, 536, 318, 273, 20080, 318, 273, 1341, 3267, 1341, 536, 5332, 20080, 5332, 454, 9681, 3602, 912, 268, 1269, 344, 259, 568, 519, 8200, 4756, 630, 1492, 4756, 649, 1616, 547, 3589, 13211, 268, 1269, 321, 318, 271, 259, 568, 519, 586, 25435, 2676, 268, 1269, 321, 318, 272, 267, 536, 318, 273, 267, 10371, 1421, 536, 5332, 259, 616, 519, 14170, 540, 519, 4830, 4632, 267, 543, 454, 268, 1269, 343, 318, 272, 267, 1535, 318, 273, 267, 10371, 1421, 1535, 5332, 259, 616, 519, 4830, 4632, 630, 1492, 4632, 649, 946, 547, 1118, 11236, 6393, 763, 14170, 2995, 721, 519, 3328, 1198, 593, 1269, 344, 259, 540, 513, 835, 15492, 2333, 538, 1269, 343, 8961, 8066, 782, 824, 4632, 3586, 269, 1280, 1383, 267, 952, 519, 11664, 585, 1412, 320, 2071, 1297, 540, 11623, 262, 568, 476, 1015, 267, 1287, 585, 1142, 3606, 4055, 267, 519, 10567, 11667, 1871, 540, 8227, 268, 31039, 5321, 4679, 676, 1269, 1015, 267, 1822, 780, 2162, 15775, 7844, 30352, 543, 11778, 692, 2171, 666, 1205, 519, 14170, 543, 519, 586, 25435, 540, 938, 2203, 1210, 519, 2387, 1723, 1030, 318, 319, 543, 2387, 5793, 1061, 318, 319, 10305, 540, 519, 2387, 30791, 8802, 1833, 319, 1843, 780, 3499, 7090, 454, 258, 5192, 2164, 454, 2745, 263, 15035, 31200, 10947, 318, 1706, 4461, 15405, 2745, 263, 15035, 31200, 16691, 1030, 318, 994, 2745, 263, 15035, 31200, 269, 5793, 1061, 318, 994, 7884, 2171, 666, 849, 946, 938, 2203, 547, 1118, 11236, 593, 519, 4152, 1305, 1210, 519, 2387, 335, 9438, 13237, 1505, 269, 901, 1505, 7024, 606, 5044, 540, 10567, 2418, 780, 3499, 7090, 454, 2745, 263, 15035, 31200, 4877, 9438, 11583, 15305, 4917, 7884, 7661, 267, 649, 666, 6218, 519, 2773, 540, 938, 2203, 1210, 519, 2387, 16557, 13237, 1505, 269, 901, 1505, 7024, 519, 11664, 540, 8990, 1269, 305, 317, 273, 259, 540, 519, 12605, 269, 634, 1269, 305, 317, 273, 259, 6060, 9832, 689, 476, 271, 547, 476, 272, 267, 609, 476, 272, 2495, 602, 938, 2203, 9985, 25221, 519, 1239, 780, 3499, 7090, 454, 2745, 263, 15035, 31200, 269, 16557, 11583, 15305, 267, 586, 15305, 4917, 3499, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 5814, 21795, 607, 19073, 454, 5814, 11885, 607, 5286, 454, 5228, 20848, 1104, 28189, 12774, 15461, 32470, 267, 5721, 15305, 5334, 5902, 318, 5228, 32470, 454, 5228, 28189, 6155, 21648, 1115, 1104, 4452, 10734, 10667, 454, 5228, 28189, 269, 15035, 31200, 1104, 12430, 8802, 1833, 692, 258, 5192, 1239, 454, 11907, 815, 4452, 10734, 10667, 4590, 4206, 815, 28189, 12774, 15461, 32470, 16597, 2020, 258, 590, 5902, 1239, 454, 311, 17601, 267, 2473, 15305, 267, 586, 17601, 267, 586, 15305, 815, 5721, 15305, 5334, 5902, 318, 5228, 32470, 29254, 267, 1412, 339, 13759, 3299, 1449, 15481, 284, 271, 269, 273, 267, 4351, 26077, 284, 271, 994, 2745, 12759, 11583, 17601, 1070, 7003, 11583, 15305, 1070, 7003, 12169, 17601, 1070, 7003, 12169, 15305, 11723, 258, 12706, 513, 12605, 2203, 454, 15035, 31200, 815, 12430, 8802, 1833, 14061, 7257, 11583, 17601, 267, 586, 17601, 2020, 258, 5192, 2164, 454, 2745, 263, 15035, 31200, 10947, 318, 1706, 4461, 15405, 2745, 263, 15035, 31200, 16691, 1030, 318, 994, 2745, 263, 15035, 31200, 269, 5793, 1061, 318, 994, 2745, 263, 15035, 31200, 4877, 9438, 11583, 15305, 4917, 2745, 263, 15035, 31200, 269, 16557, 11583, 15305, 267, 586, 15305, 4917, 8199, 2237, 606, 3573, 543, 2143, 1837, 1770, 609, 19900, 1257, 543, 3009, 12612, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 1100, 1991, 1702, 540, 519, 1641, 269, 634, 1837, 1058, 3895, 7744, 543, 20201, 1983, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 10289, 14740, 543, 23830, 538, 5403, 4211, 2753, 7126, 16527, 3979, 1977, 1299, 4563, 7931, 1734, 692, 1103, 519, 7706, 540, 3332, 267, 3961, 543, 6041, 723, 1279, 1044, 2565, 4798, 602, 3337, 6386, 267, 3226, 1369, 12790, 2950, 269, 634, 8574, 3177, 8711, 891, 2152, 998, 519, 7828, 540, 5026, 267, 4481, 2021, 781, 17281, 267, 1141, 594, 8615, 4210, 5573, 330, 781, 18517, 1831, 513, 18463, 585, 3695, 875, 2043, 6330, 741, 9163, 9624, 6848, 6788, 269, 769, 713, 1576, 1770, 267, 649, 786, 5490, 883, 2147, 2055, 4478, 14070, 11269, 540, 3979, 1977, 543, 4563, 3197, 1282, 519, 2022, 4211, 2753, 7126, 5736, 267, 9878, 1880, 3007, 547, 15832, 9089, 269, 3414, 7421, 1585, 5931, 267, 7811, 10850, 267, 3140, 8658, 267, 543, 4207, 27964, 267, 596, 786, 2744, 513, 4514, 7071, 585, 519, 1950, 2081, 4589, 21907, 23141, 543, 1895, 28930, 725, 780, 1262, 306, 11970, 476, 272, 281, 19484, 5772, 885, 1107, 1323, 11137, 4373, 2414, 2253, 938, 3460, 267, 1577, 721, 1101, 2263, 1018, 13054, 2123, 543, 7104, 9163, 269, 14301, 2390, 25349, 6436, 971, 607, 8210, 1324, 3619, 742, 2006, 781, 667, 1090, 520, 17790, 7869, 630, 4198, 280, 1070, 799, 29102, 602, 1004, 1459, 2933, 21825, 4470, 593, 1514, 3871, 267, 2015, 875, 5007, 2188, 899, 5198, 267, 4008, 267, 22874, 267, 3092, 1421, 3310, 1582, 12656, 4003, 543, 1857, 6881, 269, 1280, 3236, 267, 594, 8615, 4210, 5573, 330, 949, 2697, 5097, 607, 513, 3318, 19002, 267, 2943, 1866, 13498, 1200, 1759, 593, 1200, 2085, 267, 3023, 267, 543, 22874, 269, 901, 27524, 30315, 12651, 1271, 2055, 827, 8116, 267, 13597, 267, 543, 15287, 780, 28274, 713, 1523, 547, 5339, 2079, 267, 4983, 6276, 25930, 7773, 781, 6271, 13474, 630, 3422, 273, 264, 910, 513, 14262, 3209, 1634, 585, 922, 13857, 28402, 540, 954, 24055, 3347, 543, 4638, 5714, 640, 269, 9181, 875, 519, 16502, 681, 18860, 639, 8845, 12066, 956, 609, 1010, 7292, 267, 575, 25311, 267, 543, 14227, 9163, 1247, 10188, 1715, 3840, 4975, 781, 2686, 5251, 269, 1215, 798, 891, 3344, 1217, 1010, 2833, 543, 4205, 286, 1548, 2994, 1281, 25930, 7773, 2308, 547, 6655, 519, 6988, 540, 681, 18860, 639, 262, 1915, 543, 5030, 4641, 2496, 1262, 306, 11970, 476, 273, 281, 11724, 1049, 15348, 1107, 8466, 12745, 338, 543, 12634, 5494, 12973, 4373, 30399, 267, 11509, 5708, 10023, 3979, 4892, 543, 4563, 3197, 814, 1419, 18674, 11475, 610, 524, 23926, 14311, 547, 3043, 9458, 269, 1717, 267, 2094, 519, 6406, 7126, 11873, 267, 1082, 5830, 723, 8179, 547, 29379, 1852, 936, 3109, 6386, 267, 4101, 3105, 21050, 525, 543, 14957, 585, 3152, 13784, 269, 6333, 25761, 1568, 899, 570, 18223, 31513, 781, 11146, 630, 1220, 274, 264, 610, 30094, 569, 23514, 9469, 262, 1473, 15282, 630, 1960, 278, 1040, 5637, 9089, 2709, 3638, 26007, 540, 3109, 2648, 2984, 3544, 2757, 10636, 517, 768, 894, 3889, 780, 11101, 267, 5659, 2487, 12326, 899, 13669, 807, 670, 756, 6975, 781, 5192, 513, 5020, 267, 932, 331, 4141, 9466, 630, 1001, 280, 264, 610, 589, 569, 1087, 320, 23045, 781, 1323, 23448, 867, 2435, 5742, 630, 1001, 279, 1070, 15663, 875, 789, 3136, 11319, 6302, 3823, 6041, 269, 1452, 4207, 32741, 4497, 9691, 609, 28622, 267, 9659, 267, 2681, 1143, 267, 543, 824, 10296, 2152, 5185, 676, 3309, 5095, 269, 1635, 3257, 865, 267, 789, 5706, 1898, 1436, 543, 3565, 9797, 2509, 24905, 1782, 11528, 15746, 780, 1262, 306, 11970, 476, 274, 281, 7335, 1063, 519, 20514, 1107, 7600, 1172, 532, 7956, 783, 11150, 4373, 2026, 4230, 1393, 3988, 267, 621, 568, 2629, 547, 29506, 1125, 875, 4589, 4020, 3197, 543 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 642, 755, 798, 712, 586, 5622, 15921, 345, 1932, 269, 674, 269, 3100, 513, 2370, 8900, 630, 327, 2426, 787, 1040, 7340, 269, 610, 630, 12898, 513, 521, 756, 559, 656, 264, 476, 714, 563, 292, 328, 7708, 1206, 856, 563, 272, 269, 1284, 324, 28471, 345, 708, 688, 11301, 454, 290, 22528, 560, 979, 334, 15017, 3697, 547, 5873, 873, 269, 1034, 824, 11913, 10096, 616, 6829, 676, 1797, 540, 25581, 13450, 4553, 2901, 676, 519, 634, 1152, 3597, 540, 519, 8231, 610, 676, 922, 1459, 610, 2250, 32096, 269, 586, 5622, 345, 714, 546, 3062, 1631, 14371, 305, 4456, 300, 2752, 454, 3918, 293, 4041, 311, 25893, 11553, 2177, 5495, 10064, 269, 1990, 2727, 345, 513, 3787, 682, 518, 599, 563, 11266, 2464, 7728, 28960, 32177, 20937, 269, 674, 269, 674, 269, 562, 643, 341, 584, 552, 518, 345, 546, 1002, 563, 17764, 875, 8900, 454, 4692, 560, 23524, 979, 15017, 2171, 324, 4779, 770, 569, 28471, 345, 621, 8575, 320, 2465, 23823, 1410, 8526, 616, 519, 22543, 9548, 1459, 543, 2250, 540, 519, 22566, 269, 946, 873, 1631, 269, 6201, 454, 292, 269, 594, 7708, 339, 856, 269, 543, 519, 31208, 1438, 568, 6829, 676, 519, 3597, 454, 2181, 1027, 539, 676, 519, 840, 6570, 547, 630, 1729, 334, 264, 1547, 674, 563, 25809, 1735, 519, 4865, 633, 1106, 1031, 2429, 563, 8339, 519, 16122, 5161, 3274, 540, 519, 8231, 563, 2171, 2356, 1289, 621, 2904, 1284, 1289, 873, 12271, 454, 10174, 540, 519, 8231, 538, 1312, 454, 785, 545, 894, 8591, 521, 610, 1990, 269, 744, 320, 875, 682, 518, 599, 661, 328, 1745, 345, 563, 16149, 1268, 13737, 563, 292, 328, 661, 328, 661, 328, 661, 328, 661, 328, 454, 548, 328, 802, 1932, 552, 518, 454, 341, 3073, 1080, 269, 547, 519, 2338, 543, 538, 782, 7606, 4849, 519, 454, 327, 584, 345, 1409, 938, 29992, 341, 345, 586, 3233, 29992, 341, 345, 546, 327, 584, 29992, 341, 345, 454, 10174, 540, 519, 454, 514, 3044, 2296, 563, 3891, 7125, 630, 322, 4954, 345, 994, 296, 594, 594, 594, 594, 454, 322, 4954, 345, 962, 5622, 28471, 345, 20144, 599, 28471, 345, 454, 21830, 596, 2097, 454, 322, 4954, 560, 28471, 345, 715, 563, 296, 1289, 630, 322, 4954, 994, 269, 538, 799, 519, 26694, 454, 5445, 1205, 827, 782, 1318, 563, 291, 327, 599, 1726, 714, 688, 731, 563, 5445, 2119, 2182, 563, 2026, 538, 2296, 563, 14888, 3201, 17614, 5508, 5990, 454, 301, 269, 1358, 2995, 803, 563, 292, 269, 674, 269, 20144, 599, 575, 1080, 827, 513, 592, 556, 527, 563, 303, 17129, 28960, 32177, 20937, 269, 966, 344, 5622, 890, 788, 592, 6633, 345, 621, 562, 537, 269, 20144, 599, 13071, 546, 1335, 856, 563, 291, 327, 599, 8952, 546, 1335, 454, 1729, 334, 269, 674, 269, 589, 642, 344, 5622, 546, 3107, 345, 15921, 345, 1035, 571, 553, 454, 1889, 324, 269, 20144, 599, 1100, 1794, 1932, 1134, 269, 1358, 1118, 9174, 269, 1358, 917, 1932, 1134, 269, 543, 519, 1152, 1102, 3005, 621, 3217, 568, 519, 1840, 540, 588, 610, 476, 272, 560, 538, 519, 2034, 1268, 13737, 269, 546, 563, 2492, 2066, 803, 454, 263, 24593, 547, 803, 1040, 519, 2250, 13029, 568, 3622, 4646, 676, 4946, 1196, 269, 1358, 1577, 873, 856, 269, 20144, 599, 2995, 345, 803, 324, 563, 313, 636, 28471, 345, 546, 1335, 654, 582, 546, 327, 599, 28471, 345, 454, 29442, 269, 2368, 15116, 2250, 338, 454, 301, 269, 20144, 599, 12103, 320, 2465, 802, 649, 514, 563, 1729, 334, 269, 610, 512, 547, 519, 3597, 563, 5445, 1832, 873, 454, 292, 328, 546, 684, 7224, 320, 530, 1515, 546, 327, 599, 979, 9926, 454, 3104, 1141, 789, 979, 547, 563, 288, 1906, 1919, 454, 320, 6879, 3424, 514, 269, 594, 4280, 1864, 1010, 2012, 563, 651, 696, 593, 6158, 269, 20144, 1731, 812, 15921, 555, 262, 938, 29693, 525, 269, 5781, 538, 519, 1715, 11206, 13172, 563, 763, 1459, 32096, 568, 4646, 676, 4946, 538, 547, 519, 3597, 269, 676, 4946, 610, 512, 547, 519, 3597, 563, 21865, 4776, 12089, 547, 519, 1459, 32096, 563, 292, 328, 1990, 8696, 538, 563, 289, 626, 513, 3766, 933, 514, 1932, 695, 10394, 15017, 295, 2465, 530, 9926, 513, 2914, 320, 752, 514, 1659, 12711, 2465, 563, 329, 626, 513, 22271, 599, 514, 269, 962, 5622, 524, 797, 646, 518, 900, 513, 1673, 571, 1662, 514, 563, 296, 4718, 1864, 563, 1492, 2250, 269, 28580, 752, 514, 269, 1196, 563, 301, 269, 634, 1459, 454, 6546, 781, 519, 1482, 533, 3415, 594, 4718, 454, 5445, 1832, 4657, 563, 763, 27612, 513, 454, 628, 537, 2469, 15017, 27237, 292, 269, 674, 269, 607, 1990, 599, 630, 25669, 1916, 11266, 2464, 7728, 24315, 2316, 5746, 303, 4041, 269, 674, 563, 296, 729, 1175, 6031, 269, 661, 328, 1990, 573, 679, 269, 661, 328, 1990, 8696, 530, 684, 522, 320, 586, 3233, 17993, 327, 714, 563, 310, 514, 3943, 530, 9926, 454, 292, 269, 1879, 519, 3943, 941, 4947, 563, 6518, 538, 2296, 723, 606, 12150, 2250, 32096, 269, 1019, 328, 2987, 28580, 752, 630, 339, 1779, 1916, 295, 2465, 1183, 335, 593, 454, 27237, 292, 269, 3657, 596, 2469, 547, 519, 1397, 7790, 1261, 729, 6972, 2476, 563, 2763, 345, 269, 2296, 2469, 454, 269, 546, 269, 1990, 599, 514, 1019, 328, 630, 23135, 1040, 674, 563, 335, 770, 32096, 568, 3622, 4646, 563, 1103, 32538, 519, 1459, 540, 519, 8231, 1990, 599, 6201, 454, 301, 269, 1547, 543, 972, 568, 513, 12402, 547, 946, 519, 2250, 607, 513, 2250, 32096, 1141, 538, 2296, 519, 8545, 814, 513, 1106, 540, 922, 1378, 269, 1411, 1223, 5873, 873, 4278, 4770, 269, 2296, 979, 630, 2998, 320, 1040, 674, 563, 263, 2998, 320, 532, 1040, 20144, 1731, 781, 546, 515, 1990, 320, 2801, 523, 328, 1093, 534, 599, 661, 328, 1990, 3975, 3288, 770, 9493, 518, 563, 4820, 545, 2118, 540, 979, 334, 269, 2334, 812, 3357, 547, 938, 2777, 563, 301, 269, 594, 4718, 835, 540, 707, 6690, 269, 1703, 616, 1082, 17756, 547, 713, 4341, 269, 661, 328, 513, 612, 538, 554, 714, 14255, 2801, 655, 563, 292, 269, 607, 538, 2296, 563, 14888, 3201, 17614, 5508, 5990, 454, 732, 596, 630, 691, 23524, 264, 7790, 3657, 596, 630, 691, 23524, 264, 4411, 7790, 3657, 596, 2469, 1932, 15017, 296, 917, 621, 3884, 1405, 269, 661, 328, 13520, 556, 527, 695, 1090, 323, 649, 324, 546, 515, 1071, 3716, 563, 9767, 4189, 15017, 6701, 596, 2469, 7790, 3657, 596, 4411, 7790, 3657, 596, 4947, 1753, 7790, 1548, 7504, 616, 596, 2469, 454, 295, 537, 262, 345, 1205, 339, 514, 593, 269, 594, 6415, 19914, 630, 921, 1078, 1040, 623, 269, 654, 582, 536, 626, 513, 527, 514, 15017, 289, 2465, 586, 5622, 575, 933, 514, 7790, 27392, 586, 5622, 1071, 3716, 7790, 27392, 552, 324, 524, 6058, 522, 537, 332, 7790, 654, 582, 688, 553, 13520, 586, 2465, 575, 933, 514, 1932, 454, 2171, 616, 2469, 1932, 563, 8133, 269, 570, 1342, 262, 333, 530, 3578, 621, 269, 8409, 616, 5386, 533, 23888, 269, 586, 5622, 15017, 263, 691, 23524, 264, 3478, 454, 310, 1515, 536, 626, 575, 933, 514, 7790, 670, 5622, 536, 626, 28580, 752, 514, 1932, 454, 8489, 616, 596, 630, 691, 23524, 264, 2469, 888, 732, 596, 630, 691, 23524, 264, 6158, 454, 2171, 324, 13520, 575, 933, 514, 1932, 269, 661, 328, 13520, 29693, 714, 323, 563, 1692, 536, 626, 610, 1655, 7790, 645, 626, 546, 31649, 1071, 3716, 7790, 645, 626, 546, 31649, 575, 933, 514, 1932, 15017, 13828, 530, 9926, 543, 530, 518, 616, 1031, 967, 4593, 3234, 514, 2299, 585, 1312, 2338, 543, 782, 7606, 4849, 519, 2034, 1268, 13737, 563, 323, 615, 269, 594, 6415, 3833, 1649, 3518, 539, 609, 519, 454, 6701, 891, 1434, 533, 23888, 7790, 1703, 616, 7899, 811, 8371, 269, 799, 568, 530, 739, 563, 339, 714, 269, 667, 1002, 781, 1990, 636, 905, 514, 1093, 534, 599, 345, 454, 2467, 616, 20739, 985, 827, 1934, 269, 2701, 781, 711, 693, 1753, 563, 714, 540, 519, 3791, 454, 1492, 3791, 1268, 12683, 563, 289, 2465, 546, 327, 599, 1434, 1093, 534, 599, 345, 7790, 667, 615, 13520, 3288, 1846, 4779, 541, 2909, 534, 292, 328, 536, 5593, 575, 933, 514, 269, 2701, 324, 476, 1342, 262, 333, 693, 522, 537, 332, 14371, 305, 4456, 300, 2752, 454, 291, 615, 262, 345, 15646, 345, 827, 552, 518, 269, 634, 2942, 1106, 568, 530, 9926, 262, 333, 630, 13195, 333, 1405, 1040, 898, 3884, 1405, 4502, 621, 563, 292, 328, 13520, 1071, 3716, 563, 10623, 564, 616, 4411, 563, 27237, 292, 269, 661, 328, 1100, 320, 512, 1342, 262, 333, 563, 296, 6415, 711, 2469, 563, 14888, 3201, 17614, 5508, 5990, 454, 301, 269, 1284, 324, 530, 9926, 693, 23580, 797, 563, 292, 328, 530, 518, 546, 615, 12171, 269, 674, 269, 1358, 941, 2192, 563, 312, 5622, 530, 9926, 556, 527, 269, 594, 695, 534, 1405, 979, 269, 1744, 718, 594, 979, 609, 596, 7790, 1744, 718, 596, 581, 693, 1753, 547, 2173, 528, 8894, 11004, 269, 661, 328, 3513, 979, 334, 269, 5637, 10772, 941, 2759, 1055, 563, 292, 269, 4425, 1926, 9493, 518, 345, 530, 9926, 2759, 1055, 269, 594, 4927, 269, 530, 9926, 262, 333, 454, 14367, 4064, 941, 3983, 269, 14201, 1405, 789, 454, 291, 31649, 530, 739, 546, 615, 563, 5591, 320, 269, 1358, 941, 972, 269, 530, 9926, 262, 333, 546, 31649, 286, 667, 615, 530, 9926, 513, 1434, 2367, 333, 599, 269, 14201, 1405, 454, 2467, 941, 513, 1434, 1082, 563, 292, 269, 607, 538, 2296, 563, 292, 269, 634, 2942, 1106, 568, 695, 320, 656, 543, 530, 334, 656, 563, 12663, 596, 979, 2059, 609, 454, 269, 530, 9926, 262, 333, 15017, 312, 5622, 7911, 345, 530, 9926, 454, 323, 615, 269, 674, 269, 661, 324, 530, 518, 269, 661, 328, 695, 320, 656, 979, 334, 563, 8133, 269, 32599, 531, 661, 328, 979, 334, 11097, 31649, 7790, 32599, 520, 546, 31649, 13520, 693, 522, 537, 332, 1932, 8894, 5591, 269, 20144, 599, 530, 9926, 546, 327, 1515, 269, 20144, 599, 530, 9926, 2192, 269, 634, 454, 16149, 1268, 13737, 454, 301, 269, 20144, 1731, 642, 15120, 530, 518, 513, 592, 26151, 563, 11526, 676, 519, 946, 540, 695, 320, 531, 543, 786, 454, 4433, 5568, 1793, 13899, 883, 1412, 1556, 264, 538, 1454, 519, 1482, 1259, 607, 538, 2296, 269, 1775, 714, 530, 9926, 24052, 563, 2171, 941, 693, 23580, 6229, 563, 263, 628, 537, 729, 339, 264, 972, 563, 310, 527, 546, 31649, 979, 334, 3288, 836, 522, 320, 803, 324, 15017, 6546, 9663, 2763, 729, 454, 10767, 660, 269, 14201, 1405, 596, 7790, 1411, 8695, 941, 972, 563, 30862, 2207, 22847, 311, 6579, 296, 14473, 966, 2207, 7034, 563, 292, 324, 262, 345, 10822, 16891, 1659, 12711, 2465, 563, 3891, 814, 1044, 1360, 1358, 4312, 3893, 547, 798, 454, 292, 328, 10822, 1932, 25411, 2801, 525, 18255, 269, 661, 328, 3893, 1579, 523, 909, 546, 3873, 520, 2011, 454, 295, 2465, 10822, 28580, 541, 12712, 20144, 599, 3893, 798, 334, 621, 563, 2041, 523, 547, 519, 454, 288, 592, 546, 515, 17661, 337, 331, 345, 13520, 16891, 563, 292, 269, 595, 3089, 30139, 723, 1831, 1360, 454, 5472, 519, 25277, 723, 8854, 563, 292, 269, 674, 6185, 24361, 17614, 5508, 5990, 454, 13757, 8854, 2476, 563, 27271, 1031, 3079, 454, 1993, 723, 538, 2296, 563, 296, 4312, 3893, 547, 2973, 454, 295, 320, 770, 3893, 513, 683, 604, 7790, 654, 582, 781, 1309, 520, 546, 327, 1515, 623, 454, 1432, 723, 596, 454, 22607, 770, 23524, 264, 513, 17180, 7790, 630, 327, 770, 23524, 264, 9575, 972, 15017, 324, 1030, 546, 31649, 524, 797, 560, 7790, 12794, 553, 262, 333, 546, 31649, 3893, 621, 7790, 654, 30139, 262, 333, 979, 334, 7790, 12794, 553, 262, 333, 546, 31649, 5609, 803, 328, 530, 334, 12245, 10800, 536, 719, 15017, 2998, 952, 596, 1223, 7790, 670, 13273, 1405, 596, 3893, 621, 7790, 14348, 333, 1405, 596, 979, 7790, 670, 13273, 1405, 596, 2938, 1250, 2025, 10800, 827, 15017, 263, 17647, 264, 568, 3006, 454, 27237, 292, 269, 717, 809, 5622, 345, 13520, 3893, 28580, 541, 12712, 454, 312, 5622, 798, 656, 552, 518, 562, 684, 522, 320, 546, 515, 586, 2426, 796, 345 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 519, 11882, 5211, 269, 10251, 621, 729, 1454, 1932, 524, 13246, 727, 543, 7948, 1405, 1256, 14526, 609, 519, 661, 4471, 22575, 269, 2755, 519, 1101, 3515, 3710, 538, 519, 476, 8146, 271, 338, 941, 18445, 2933, 607, 513, 6325, 1797, 540, 6283, 711, 3025, 729, 4421, 593, 519, 1007, 325, 22931, 2029, 269, 22575, 5411, 543, 519, 4872, 789, 6039, 21787, 16456, 338, 1131, 2322, 873, 856, 540, 1870, 1247, 930, 540, 519, 1857, 14126, 827, 519, 3106, 540, 2046, 28962, 9252, 26925, 267, 21611, 543, 824, 12178, 2404, 609, 621, 269, 1452, 12194, 941, 1134, 20582, 855, 824, 811, 28457, 748, 7682, 687, 10645, 16456, 338, 941, 513, 834, 22563, 823, 540, 519, 26881, 257, 543, 1223, 2014, 513, 834, 935, 322, 15664, 540, 519, 2634, 8487, 4407, 4789, 1223, 605, 8010, 3294, 607, 4332, 2897, 540, 519, 16456, 267, 676, 476, 7277, 271, 922, 2698, 13304, 720, 630, 272, 267, 4335, 264, 1185, 1044, 2484, 20546, 539, 676, 519, 2136, 2276, 269, 21452, 267, 519, 2883, 7754, 545, 540, 476, 8146, 278, 1705, 711, 12517, 21391, 16456, 4070, 267, 7429, 2663, 538, 519, 476, 866, 628, 2540, 950, 891, 2804, 1244, 11306, 25224, 539, 2417, 4070, 269, 1306, 5892, 5941, 267, 519, 645, 261, 302, 729, 835, 540, 16456, 532, 781, 1034, 22082, 1949, 269, 4706, 1871, 538, 21722, 1007, 2553, 666, 849, 711, 581, 896, 26061, 269, 1306, 676, 31489, 32083, 543, 6424, 744, 4592, 17844, 4063, 538, 741, 1433, 267, 834, 289, 5306, 20095, 1299, 11882, 21805, 2437, 5176, 3388, 3375, 621, 1500, 729, 606, 13473, 7058, 1759, 593, 1018, 2370, 729, 1634, 827, 16456, 338, 543, 4702, 2853, 693, 519, 942, 269, 12344, 1034, 4101, 729, 14335, 513, 1697, 1318, 6361, 17574, 543, 23115, 856, 519, 22441, 7182, 543, 3446, 10335, 513, 6093, 5721, 1223, 6023, 269, 1677, 5351, 538, 713, 20089, 8030, 30774, 547, 4789, 267, 519, 4332, 2897, 540, 16456, 338, 267, 585, 2093, 7282, 4070, 543, 1655, 2853, 269, 7324, 741, 1034, 8037, 1491, 25498, 729, 3950, 15378, 282, 2296, 3515, 941, 9001, 513, 8700, 540, 476, 275, 3952, 267, 476, 279, 476, 272, 270, 273, 6279, 799, 729, 6038, 7550, 676, 519, 645, 261, 302, 563, 21132, 1985, 4305, 729, 538, 8888, 513, 3950, 3391, 3118, 585, 519, 14884, 262, 14743, 547, 1246, 269, 4495, 1586, 267, 8030, 1336, 2933, 538, 7164, 8513, 607, 789, 4603, 539, 609, 1585, 2553, 689, 6149, 3391, 1811, 609, 11308, 20832, 547, 4401, 2269, 1186, 1210, 519, 1482, 6240, 269, 1358, 5555, 4121, 519, 1655, 267, 1034, 22237, 1374, 729, 513, 11308, 11237, 18674, 609, 513, 4401, 588, 1905, 6462, 676, 11308, 31832, 560, 625, 269, 11635, 588, 1905, 986, 2812, 1705, 960, 4352, 9863, 11212, 5906, 607, 12816, 2269, 1186, 1223, 1577, 979, 4929, 519, 14686, 7613, 540, 834, 338, 333, 820, 9843, 2437, 799, 3362, 678, 5792, 998, 519, 19683, 540, 2038, 11308, 6517, 543, 544, 2727, 539, 610, 7166, 15915, 269, 7053, 267, 8030, 1185, 547, 32230, 513, 1318, 6361, 17574, 5827, 540, 7829, 713, 1007, 1106, 540, 2029, 269, 4495, 811, 267, 609, 1100, 2835, 610, 1991, 1382, 547, 3391, 873, 267, 31924, 29962, 15537, 670, 269, 7043, 540, 519, 772, 2529, 269, 8136, 945, 729, 13327, 4370, 5619, 960, 267, 543, 3627, 11936, 26427, 267, 513, 3540, 11653, 3274, 1500, 13473, 7058, 525, 269, 634, 645, 261, 302, 1131, 7620, 946, 9640, 547, 1379, 741, 14884, 609, 519, 15752, 540, 23248, 835, 1554, 15175, 547, 9252, 27668, 269, 1306, 513, 1267, 267, 26427, 543, 7043, 1031, 1360, 15061, 5515, 267, 12145, 519, 15194, 3446, 547, 513, 1360, 2463, 762, 476, 271, 269, 277, 260, 630, 528, 513, 6071, 476, 277, 6279, 540, 15038, 585, 1169, 476, 1911, 3952, 14612, 1040, 21452, 267, 2705, 267, 789, 4847, 14258, 547, 581, 5266, 8325, 693, 476, 1691, 268, 1240, 5232, 267, 23387, 519, 3259, 14884, 1131, 835, 1554, 3914, 269, 769, 519, 2104, 267, 9344, 941, 4847, 547, 581, 10169, 588, 2465, 704, 1247, 14258, 941, 4389, 563, 294, 8724, 513, 3020, 1620, 540, 2038, 16456, 1286, 1646, 666, 581, 2352, 1813, 547, 23278, 4973, 2984, 610, 1175, 30739, 25749, 269, 898, 568, 2417, 7294, 676, 519, 3668, 540, 3140, 6054, 2139, 593, 519, 1641, 269, 1403, 596, 616, 5461, 538, 713, 1641, 1614, 2835, 593, 519, 1888, 616, 513, 1590, 267, 782, 2854, 676, 3627, 670, 269, 6519, 267, 12789, 12727, 834, 763, 1977, 21805, 10426, 10152, 2961, 257, 630, 8512, 338, 594, 543, 4083, 264, 543, 834, 763, 1977, 21805, 6154, 697, 2961, 1701, 1306, 646, 4967, 267, 519, 1650, 540, 3013, 781, 1101, 18213, 6517, 3710, 689, 3942, 1723, 2851, 3788, 4922, 5143, 547, 713, 1554, 269, 769, 4641, 267, 1247, 891, 941, 6766, 689, 3942, 1723, 2851, 543, 14475, 676, 3942, 1723, 778, 26767, 267, 789, 941, 2965, 2966, 689, 519, 669, 817, 529, 909, 269, 634, 1101, 1634, 18213, 1286, 4579, 729, 13752, 547, 9400, 1955, 26792, 540, 22768, 538, 476, 9264, 279, 950, 519, 22768, 1299, 11882, 21805, 14059, 1864, 827, 3761, 519, 2754, 609, 3937, 269, 634, 1101, 267, 1759, 689, 519, 3044, 13875, 16455, 540, 519, 1554, 267, 729, 3957, 519, 27505, 518, 543, 5116, 883, 3028, 1282, 2904, 267, 476, 8146, 271, 269, 898, 729, 4553, 676, 2947, 811, 5176, 9838, 6272, 602, 1482, 4864, 269, 6176, 593, 26708, 6517, 689, 713, 1974, 568, 1256, 811, 17077, 2094, 519, 1857, 6976, 2370, 3007, 547, 971, 1919, 543, 972, 941, 1100, 8041, 538, 1747, 547, 6895, 16456, 338, 563, 763, 5892, 5018, 21081, 924, 24020, 6964, 513, 2596, 267, 18674, 11308, 6366, 8364, 2966, 676, 25373, 2917, 21563, 656, 799, 8246, 7504, 1379, 547, 3560, 519, 18899, 936, 5458, 6149, 986, 2812, 269, 11088, 267, 1282, 606, 5736, 1510, 2139, 8100, 2093, 543, 2035, 941, 10731, 269, 4340, 547, 6004, 269, 6519, 781, 1433, 267, 834, 763, 1101, 3126, 540, 6517, 941, 5645, 676, 2185, 530, 6782, 14743, 269, 634, 10007, 941, 5645, 2630, 519, 4949, 956, 593, 513, 3760, 6659, 610, 22485, 676, 513, 1688, 14617, 3094, 577, 3728, 2989, 547, 513, 11308, 959, 1380, 7406, 602, 11542, 1657, 519, 14743, 269, 1280, 971, 606, 2038, 1974, 891, 6517, 941, 1134, 18705, 267, 29656, 3710, 15333, 6877, 269, 21563, 656, 781, 1523, 9863, 865, 3811, 602, 922, 2489, 1374, 7283, 24240, 2394, 519, 3312, 21081, 924, 24020, 1062, 729, 14460, 538, 476, 5908, 277, 269, 769, 476, 8146, 271, 267, 543, 2429, 602, 8717, 1034, 26708, 729, 16487, 538, 2901, 513, 6366, 8364, 267, 513, 2241, 575, 1180, 7637, 630, 288, 2241, 6366, 8364, 609, 2110, 5011, 547, 3180, 17078, 3429, 1496, 325, 516, 697, 3910, 621, 568, 811, 4122, 1634, 607, 519, 575, 1180, 7637, 2221, 269, 634, 1101, 568, 20295, 547, 519, 22768, 1299, 11882, 540, 476, 8146, 273, 799, 5219, 547, 621, 607, 513, 834, 4148, 712, 1286, 257, 2094, 621, 17411, 29054, 540, 7912, 13776, 610, 606, 2038, 1826, 540, 5577, 704, 1634, 607, 513, 834, 329, 9404, 773, 1701, 634, 8545, 15866, 17411, 16320, 2350, 924, 5755, 267, 971, 607, 519, 1507, 267, 476, 272, 267, 7785, 1790, 895, 6272, 1336, 593, 519, 2274, 14683, 15021, 1299, 32522, 7577, 693, 31410, 577, 932, 6064, 267, 12425, 269, 1452, 1507, 6517, 1223, 6023, 827, 476, 274, 267, 1822, 6550, 1142, 543, 16487, 16320, 2350, 924, 5755, 689, 1930, 1790, 527, 15183, 2282, 31410, 577, 932, 6064, 936, 513, 476, 280, 28902, 267, 476, 5655, 20878, 15378, 16456, 547, 519, 2274, 14683, 5211, 1141, 519, 1587, 729, 5645, 593, 547, 9456, 2798, 971, 607, 15740, 269, 1306, 519, 476, 7277, 271, 781, 546, 1177, 2740, 267, 16456, 338, 941, 4742, 513, 19618, 3060, 855, 1454, 960, 7283, 693, 3964, 513, 1062, 5827, 540, 3608, 267, 954, 8063, 3028, 269, 12709, 15955, 21805, 3778, 15955, 634, 22073, 0, 763, 21836, 540, 2947, 1453, 538, 513, 1647, 11665, 1920, 267, 27262, 19258, 517, 729, 4535, 593, 8285, 4303, 476, 9264, 272, 538, 10228, 267, 12590, 269, 4014, 1352, 729, 13473, 693, 1753, 267, 27262, 3459, 3450, 1153, 9887, 693, 519, 2085, 540, 19939, 538, 1585, 10026, 3506, 538, 12590, 543, 1715, 14948, 1063, 519, 1296, 476, 8146, 277, 543, 476, 6977, 275, 269, 13405, 547, 519, 6406, 2782, 267, 27262, 781, 1034, 29810, 9740, 729, 519, 10661, 540, 513, 1863, 1857, 1153, 538, 645, 867, 550, 1144, 267, 1715, 14948, 269, 3958, 267, 1200, 1152, 2564, 1995, 1991, 547, 519, 2112, 729, 950, 1352, 25374, 585, 1200, 23380, 7015, 6424, 585, 1079, 1296, 563, 4263, 519, 12176, 540, 519, 6406, 2782, 267, 27262, 5030, 538, 6115, 267, 667, 5861, 1421, 1141, 1352, 5249, 693, 519, 772, 2529, 269, 30171, 8433, 269, 11374, 519, 22768, 681, 328, 1824, 267, 2390, 519, 476, 277, 628, 12590, 31118, 21945, 538, 6115, 267, 621, 729, 27262, 945, 6896, 513, 8323, 1982, 585, 519, 7980, 267, 4358, 1200, 15400, 4876, 607, 513, 12016, 543, 19493, 563, 9515, 729, 519, 28013, 543, 13653, 540, 519, 1977, 4414, 9061, 269, 589, 1390, 12092, 602, 2982, 1200, 1416, 543, 6161, 585, 519, 10304, 540, 1866, 563, 296, 960, 585, 513, 1876, 6109, 538, 1937, 31569, 267, 12590, 267, 799, 729, 8547, 676, 27262, 19258, 517, 781, 23013, 594, 571, 18703, 19258, 517, 538, 476, 9264, 273, 269, 1284, 616, 519, 9510, 1876, 6109, 538, 1937, 31569, 269, 3733, 674, 3305, 568, 1360, 10583, 540, 621, 781, 1686, 543, 3838, 519, 4276, 547, 27262, 19258, 517, 609, 803, 1250, 1101, 1554, 693, 960, 563, 296, 723, 513, 2370, 1433, 602, 814, 476, 1911, 1004, 945, 8032, 3013, 538, 621, 267, 543, 1352, 781, 835, 540, 873, 269, 898, 3947, 2370, 6256, 1344, 269, 1358, 2141, 2285, 1079, 2370, 9642, 3440, 5013, 693, 519, 1439, 540, 519, 5758, 563, 28347, 12493, 2322, 19258, 517, 267, 1634, 607, 519, 19664, 540, 519, 11135, 7615, 267, 538, 5279, 540, 29466, 7508, 2367, 689, 519, 5742, 7952, 268, 543, 1352, 1336, 5215, 563, 9515, 18617, 3013, 547, 1129, 519, 25611, 15716, 538, 476, 6642, 273, 267, 799, 2488, 3652, 585, 519, 4023, 2126, 540, 1346, 20754, 610, 7166, 1282, 2112, 563, 4692, 596, 4952, 2348, 971, 513, 2462, 1764, 593, 519, 1158, 286, 634, 7022, 6785, 1200, 267, 543, 1352, 1185, 513, 1688, 538, 865, 1082, 1919, 538, 938, 1686, 269, 2334, 781, 865, 5863, 547, 803, 269, 23883, 3257, 782, 713, 693, 513, 942, 950, 2021, 1373, 3742, 3544, 519, 1753, 7012, 1405, 6743, 2390, 609, 11419, 563, 2171, 1964, 27262, 19258, 517, 547, 2671, 4277, 1249, 689, 2250, 2053, 912, 9213, 568, 281, 476, 2537, 6113, 5239, 630, 14875, 307, 1070, 538, 1686, 593, 519, 476, 2537, 6113, 540, 5239, 267, 476, 6245, 271, 5084, 519, 1739, 2669, 5949, 912, 298, 28328, 631, 631, 7638, 26245, 281, 674, 12661, 880, 10266, 614, 1315, 8642, 7376, 0, 3528, 594, 3960, 328, 1215, 749, 454, 8340, 856, 827, 18335, 609, 713, 1187, 543, 2502, 1101, 1344, 1433, 269, 11762, 1331, 519, 2197, 781, 11585, 267, 2101, 4872, 267, 1004, 543, 4277, 4025, 269, 1280, 1453, 1739, 3883, 645, 1343, 267, 621, 568, 5078, 585, 1453, 2542, 693, 6512, 476, 279, 267, 13711, 7868, 27084, 11370, 3960, 3126, 267, 585, 2085, 476, 276, 31956, 2337, 1453, 1020, 741, 1702, 543, 1620, 540, 519, 1158, 676, 8720, 513, 2647, 2039, 540, 3584, 538, 513, 1187, 267, 7990, 995, 543, 7317, 1259, 269, 634, 2835, 723, 513, 18512, 1374, 267, 2502, 1257, 543, 6337, 267, 2055, 547, 1205, 1453, 3206, 543, 6158, 543, 3450, 4967, 269, 3962, 2140, 568, 2854, 538, 14966, 609, 513, 7924, 22639, 543, 2934, 1433, 6512, 5583, 543, 4647, 762, 2534, 9212, 2228, 563, 3528, 6754, 9412, 9116, 454, 5804, 32665, 6628, 547, 519, 476, 2641, 560, 11416, 267, 2831, 723, 9863, 606, 1271, 851, 540, 3703, 2729, 689, 5026, 543, 10617, 547, 10130, 543, 1426, 2504, 269, 6904, 2831, 941, 1500, 17255, 543, 799, 723, 1044, 32543, 22004, 286, 1548, 3361, 519, 4563, 12280, 286, 6904, 4622, 5293, 513, 1876, 602, 9415, 3025, 547, 6968, 2831, 538, 519, 3552, 286, 4208, 729, 519, 8486, 533, 3415, 1898, 585, 5755, 2173, 1456, 286, 2353, 891, 2055, 543, 1082, 811, 616, 8268, 538, 713, 4241, 2272, 540, 6628, 781, 1686, 998, 2831, 7868, 1433, 568, 851, 540, 1412, 288, 1686, 540, 6628, 538, 476, 1321, 3267, 3299, 513, 3126, 799, 12116, 476, 1321 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 7133, 27575, 3693, 476, 1015, 269, 5047, 267, 606, 954, 8306, 476, 1839, 666, 581, 3177, 538, 519, 9018, 835, 540, 9764, 14034, 476, 279, 563, 1103, 13076, 609, 16658, 306, 269, 476, 1428, 543, 476, 1626, 267, 9300, 2212, 476, 272, 568, 3177, 609, 1079, 8220, 23049, 476, 2918, 538, 513, 23643, 6438, 11460, 269, 634, 23049, 8831, 1472, 513, 2582, 8220, 31455, 476, 2767, 799, 568, 513, 851, 540, 9300, 2212, 6712, 476, 273, 269, 901, 11460, 2488, 811, 2230, 585, 9591, 5122, 4296, 1510, 519, 991, 585, 2810, 519, 4320, 540, 519, 9300, 269, 898, 814, 2417, 1044, 1336, 547, 581, 25368, 547, 1683, 8220, 23049, 476, 2918, 543, 476, 2767, 609, 513, 9764, 24263, 476, 2764, 799, 14687, 609, 513, 9764, 12424, 476, 3066, 538, 9300, 6712, 476, 273, 269, 6270, 5180, 902, 543, 12424, 525, 949, 581, 11368, 883, 519, 824, 12589, 9323, 540, 519, 8798, 267, 5941, 23954, 629, 913, 269, 1306, 5145, 1194, 8220, 23049, 476, 2918, 267, 476, 2767, 267, 476, 275, 267, 543, 476, 276, 1106, 513, 4745, 12718, 476, 1789, 563, 20983, 306, 269, 476, 1704, 543, 476, 1240, 14550, 606, 20032, 540, 519, 8798, 13296, 9300, 2212, 6712, 476, 272, 543, 5365, 3977, 6712, 476, 273, 1142, 2270, 2789, 8220, 23049, 476, 4029, 269, 769, 713, 20032, 267, 519, 11836, 540, 9300, 13980, 476, 272, 543, 476, 273, 676, 519, 17727, 3058, 540, 741, 9757, 23049, 267, 607, 3254, 538, 16658, 269, 476, 1704, 267, 3029, 513, 4745, 12718, 476, 1789, 563, 20983, 269, 476, 866, 14550, 602, 513, 4745, 7852, 666, 581, 4646, 676, 513, 3044, 3684, 17684, 476, 3953, 2348, 513, 2212, 476, 3451, 799, 26520, 593, 9300, 6712, 476, 272, 267, 543, 799, 568, 9395, 2989, 676, 513, 2428, 476, 4097, 799, 26520, 1996, 5365, 3977, 6712, 476, 273, 269, 1323, 4835, 27575, 3693, 476, 3374, 20910, 519, 1079, 9300, 13980, 538, 519, 1858, 540, 519, 28728, 532, 3693, 269, 1306, 3254, 538, 519, 4137, 267, 28728, 532, 17684, 476, 3953, 11579, 6233, 998, 1312, 9300, 13980, 3842, 513, 8559, 476, 3607, 563, 20983, 269, 476, 736, 2982, 606, 20032, 540, 519, 8798, 13296, 513, 512, 11474, 8559, 476, 4391, 568, 11231, 538, 9300, 6712, 476, 273, 267, 543, 30283, 2428, 476, 4097, 269, 769, 713, 20032, 267, 621, 568, 849, 2009, 547, 3035, 519, 4276, 676, 1797, 540, 513, 28728, 532, 30021, 476, 4343, 267, 607, 3254, 538, 16658, 269, 476, 2641, 269, 4935, 267, 519, 2212, 540, 28728, 532, 30021, 476, 4375, 568, 26356, 538, 519, 4965, 538, 9300, 6712, 476, 272, 267, 3079, 540, 2212, 476, 3451, 3254, 538, 16658, 269, 476, 866, 269, 16658, 269, 476, 2641, 2982, 513, 7484, 1606, 7428, 476, 2412, 2348, 513, 3444, 18921, 607, 519, 28728, 532, 3693, 799, 3217, 519, 1747, 540, 2428, 476, 4097, 269, 769, 16658, 269, 476, 2420, 267, 606, 13412, 4276, 568, 6913, 676, 29780, 513, 16509, 5614, 476, 6078, 269, 16658, 269, 476, 2537, 2982, 513, 16509, 5614, 476, 5655, 1031, 607, 519, 4745, 7852, 269, 589, 5614, 2212, 476, 6246, 540, 519, 16509, 5614, 568, 5116, 538, 4965, 476, 4510, 538, 9300, 6712, 476, 272, 269, 1306, 3254, 538, 16658, 269, 476, 2190, 267, 519, 5614, 5911, 568, 18761, 1394, 693, 606, 1439, 476, 3393, 865, 607, 547, 1106, 513, 16147, 2066, 519, 8006, 540, 519, 16509, 5614, 269, 769, 713, 6073, 267, 513, 17684, 323, 18182, 18921, 476, 5379, 568, 3812, 269, 634, 8142, 1439, 476, 5325, 540, 16509, 5614, 476, 5655, 666, 581, 3458, 14954, 883, 8142, 476, 4366, 538, 513, 8220, 31455, 267, 607, 3254, 538, 16658, 269, 476, 2537, 563, 20983, 306, 269, 476, 1839, 268, 3451, 9414, 513, 2027, 20032, 540, 519, 8798, 2348, 513, 20425, 9018, 7387, 476, 5392, 593, 799, 23295, 513, 8142, 568, 2759, 269, 32190, 2212, 6712, 476, 272, 814, 23643, 11057, 8220, 23049, 476, 2918, 799, 4497, 2582, 8220, 31455, 476, 2767, 269, 634, 10167, 540, 519, 4745, 7852, 476, 274, 609, 519, 19976, 7852, 476, 2004, 585, 519, 9300, 11460, 568, 11280, 607, 476, 7906, 269, 634, 3544, 32725, 540, 519, 1079, 23049, 616, 11280, 476, 7367, 269, 1306, 3254, 538, 16658, 269, 476, 2918, 267, 513, 530, 8354, 11057, 2759, 476, 7871, 568, 3177, 593, 1312, 5011, 540, 4745, 7852, 476, 274, 865, 607, 547, 11863, 9300, 2212, 476, 272, 547, 18711, 2476, 689, 5365, 3977, 6712, 476, 273, 676, 476, 3445, 5232, 269, 769, 713, 20032, 267, 530, 8354, 7252, 476, 7918, 540, 9300, 2212, 476, 272, 26520, 1996, 530, 8354, 7252, 476, 4649, 540, 5365, 3977, 6712, 476, 273, 267, 607, 3254, 538, 16658, 269, 476, 4029, 269, 898, 568, 6190, 547, 1683, 519, 530, 8354, 11057, 11912, 476, 7871, 1152, 593, 835, 2427, 540, 519, 9300, 267, 2094, 519, 476, 3445, 4110, 2990, 666, 849, 581, 11843, 547, 519, 824, 2427, 676, 7432, 519, 9300, 827, 922, 19976, 7852, 269, 4595, 519, 530, 8354, 11057, 11912, 616, 3177, 593, 1152, 835, 2427, 267, 519, 21266, 1154, 540, 9300, 2212, 6712, 476, 272, 3448, 547, 5365, 3977, 6712, 476, 273, 267, 1510, 28728, 532, 519, 4745, 7852, 267, 666, 581, 15286, 676, 3138, 657, 2287, 543, 3728, 2287, 513, 2428, 476, 6321, 538, 519, 25610, 540, 4745, 7852, 476, 274, 269, 1306, 513, 1267, 540, 519, 530, 8354, 11057, 11912, 267, 1100, 2230, 568, 4503, 585, 8220, 519, 9300, 2212, 6712, 547, 519, 5365, 3977, 6712, 267, 1317, 519, 2407, 5858, 585, 519, 8220, 26423, 568, 12873, 269, 634, 8006, 540, 519, 4745, 5858, 14687, 547, 519, 8006, 540, 519, 9300, 3294, 269, 769, 824, 1913, 267, 519, 9300, 2212, 6712, 543, 519, 9300, 3977, 6712, 1142, 723, 519, 1482, 8006, 563, 763, 12589, 9323, 540, 519, 8798, 3254, 538, 16658, 306, 269, 476, 4097, 268, 5655, 3858, 538, 6240, 609, 519, 12589, 9323, 540, 16658, 306, 269, 476, 272, 268, 1691, 267, 3226, 16658, 306, 269, 476, 1015, 268, 1691, 269, 769, 519, 12589, 9323, 540, 16658, 306, 269, 476, 4097, 268, 5655, 267, 2705, 267, 2027, 12632, 616, 3177, 585, 27575, 3693, 476, 1015, 269, 634, 9764, 8258, 11057, 27575, 3693, 693, 9300, 2212, 6712, 476, 272, 267, 2687, 547, 16658, 306, 269, 476, 4097, 543, 476, 3374, 267, 814, 513, 530, 8354, 11057, 3444, 16687, 476, 6872, 269, 589, 530, 8354, 11057, 12424, 476, 6812, 568, 3177, 538, 5365, 3977, 6712, 476, 273, 267, 543, 814, 513, 10169, 811, 8650, 530, 8354, 5086, 865, 602, 621, 568, 20399, 1927, 538, 513, 6073, 3254, 538, 16658, 269, 476, 4343, 269, 1879, 519, 1079, 9300, 13980, 616, 8678, 267, 519, 13021, 568, 12913, 269, 16658, 306, 269, 476, 3607, 543, 476, 4375, 1397, 606, 20032, 13296, 27575, 3693, 476, 1015, 814, 513, 12931, 1844, 983, 3444, 16687, 269, 634, 20282, 12424, 538, 519, 824, 9300, 6712, 568, 11338, 27358, 547, 581, 10169, 4130, 267, 865, 602, 519, 12705, 799, 2164, 689, 971, 606, 6278, 14687, 547, 16658, 269, 476, 4375, 269, 16658, 306, 269, 476, 4391, 543, 476, 2412, 1397, 519, 1374, 540, 519, 27575, 3693, 9001, 513, 25671, 18042, 9043, 269, 769, 713, 20032, 267, 519, 25671, 18042, 12424, 568, 27358, 547, 581, 4130, 865, 602, 1166, 3471, 476, 6795, 540, 519, 25671, 1355, 616, 20399, 1996, 7222, 2427, 6821, 476, 2568, 540, 519, 12424, 563, 1103, 519, 20032, 540, 16658, 306, 269, 476, 6078, 543, 476, 5655, 267, 513, 798, 557, 18571, 11057, 27575, 18921, 568, 4646, 693, 835, 9300, 6712, 865, 602, 621, 1590, 26882, 883, 519, 824, 6712, 269, 634, 3444, 16687, 540, 519, 27575, 6679, 1590, 4061, 723, 513, 4130, 13675, 8700, 982, 519, 8700, 540, 519, 798, 557, 18571, 540, 519, 13021, 269, 901, 3340, 519, 798, 557, 18571, 13021, 610, 519, 8728, 540, 519, 12424, 547, 581, 13412, 971, 602, 519, 798, 557, 18571, 666, 26882, 883, 519, 12424, 269, 769, 713, 2543, 267, 621, 568, 3226, 25368, 547, 1683, 5614, 17534, 476, 8618, 593, 27575, 3693, 476, 1015, 269, 634, 5614, 17534, 616, 4646, 6823, 543, 723, 513, 25671, 18042, 3444, 16687, 269, 634, 8728, 540, 519, 25671, 18042, 12424, 585, 519, 27575, 3693, 616, 849, 3177, 609, 5614, 17534, 476, 7830, 267, 607, 3254, 538, 16658, 269, 476, 5655, 267, 865, 602, 18374, 513, 5595, 2978, 31307, 13021, 568, 5833, 950, 519, 2818, 540, 519, 13021, 616, 7722, 269, 11354, 17534, 476, 8618, 26520, 1996, 606, 896, 12827, 6712, 476, 8287, 540, 519, 25671, 18042, 9043, 540, 18921, 476, 5038, 269, 11354, 17534, 476, 7830, 1106, 513, 13021, 609, 8405, 476, 4792, 540, 519, 25671, 18042, 27575, 3693, 476, 1015, 269, 634, 5614, 17534, 616, 4646, 538, 513, 2241, 6073, 950, 519, 9300, 568, 9087, 3139, 2987, 676, 7533, 29706, 17371, 269, 901, 568, 6913, 676, 513, 5078, 16369, 540, 519, 22786, 538, 713, 3148, 269, 769, 519, 1459, 8798, 267, 519, 8220, 1797, 538, 4745, 7852, 476, 274, 666, 4781, 958, 581, 7006, 10234, 609, 269, 634, 1079, 9300, 13980, 666, 581, 8678, 1927, 538, 2259, 676, 513, 26882, 2987, 4276, 799, 8195, 3029, 519, 13021, 563, 1103, 519, 20032, 540, 16658, 269, 476, 6078, 267, 519, 25671, 18042, 27575, 3693, 568, 11231, 693, 9300, 2212, 6712, 476, 272, 543, 538, 519, 2143, 5373, 540, 16658, 269, 476, 5655, 267, 693, 519, 5365, 3977, 6712, 476, 273, 269, 589, 2417, 7872, 585, 7006, 14819, 609, 2027, 28728, 532, 25336, 610, 28728, 532, 2609, 799, 1106, 519, 4745, 7852, 568, 3254, 538, 519, 20032, 540, 16658, 306, 269, 476, 6246, 543, 476, 4510, 269, 769, 713, 20032, 267, 513, 23643, 6438, 5614, 476, 5780, 267, 799, 949, 581, 2966, 607, 513, 6978, 5614, 267, 568, 9087, 3139, 538, 519, 7533, 17371, 883, 519, 23643, 11057, 8220, 23049, 476, 2918, 269, 4935, 267, 519, 23643, 512, 1149, 476, 2918, 616, 20399, 883, 519, 2582, 8220, 31455, 476, 2767, 3842, 27575, 3693, 476, 1015, 607, 1134, 607, 3842, 9764, 14034, 476, 279, 610, 9764, 8258, 12415, 476, 280, 269, 634, 598, 673, 1486, 6350, 687, 476, 6858, 666, 1683, 519, 1246, 518, 2962, 538, 4745, 7852, 476, 279, 952, 519, 5583, 676, 27575, 3693, 476, 1015, 568, 711, 16363, 547, 581, 6190, 563, 1103, 13076, 609, 519, 8798, 267, 513, 2241, 4276, 1063, 1079, 610, 811, 9300, 13980, 568, 3177, 267, 799, 666, 581, 9112, 18374, 1510, 3606, 4674, 1210, 8465, 18364, 543, 9087, 5446, 2987, 2553, 269, 29706, 7533, 17371, 568, 23295, 1031, 538, 519, 9087, 5446, 2987, 4480, 585, 519, 2601, 602, 1100, 5094, 24450, 540, 513, 27575, 3693, 568, 2556, 269, 4935, 267, 519, 946, 543, 5478, 540, 513, 20177, 9300, 11460, 568, 19658, 269, 5047, 267, 713, 11460, 14998, 519, 9300, 547, 581, 20218, 538, 18374, 1022, 3210, 4287, 1510, 519, 991, 585, 2027, 8066, 1797, 972, 1721, 563, 7212, 519, 8798, 814, 1044, 4330, 538, 2474, 540, 1808, 12589, 9323, 543, 3156, 267, 621, 568, 547, 581, 6956, 602, 7606, 9952, 538, 519, 1148, 267, 538, 1769, 540, 713, 3450, 267, 666, 1374, 3606, 12589, 9323, 1510, 8977, 532, 689, 519, 6891, 610, 23630, 519, 9165, 540, 519, 10645, 8798, 269, 22353, 267, 621, 568, 547, 581, 6956, 602, 519, 12400, 543, 11673, 538, 713, 23930, 616, 605, 742, 1229, 547, 7520, 8223, 540, 519, 8798, 543, 1058, 711, 581, 1526, 29471, 547, 3970, 519, 9165, 23476, 563, 272, 269, 589, 4287, 25259, 9300, 2348, 513, 1101, 9300, 6712, 4448, 547, 513, 2034, 9300, 6712, 693, 513, 2220, 633, 331, 4745, 267, 519, 2220, 633, 331, 4745, 1373, 4646, 540, 513, 31455, 4276, 693, 799, 519, 9300, 13980, 616, 4371, 538, 513, 5551, 5086, 540, 10047, 2990, 538, 513, 23649, 799, 568, 4232, 23534, 827, 513, 2417, 7852, 13902, 547, 519, 7852, 540, 519, 4745, 267, 519, 9300, 13980, 1373, 30788, 4448, 547, 835, 1776, 267, 519, 11460, 2417, 16030, 912, 268, 693, 2547, 13980, 540, 9764, 14034, 11231, 3492, 29182, 827, 519, 4745, 7852, 267, 1767, 13980, 540, 1767, 9764, 14034, 1373, 16119, 4448, 547, 519, 8220, 23049, 3248, 268, 27575, 1797, 11231, 593, 693, 2547, 835, 540, 519, 23049, 585, 11700, 3151, 519, 856, 25958, 835, 540, 1767, 9764, 14034, 3248, 268, 5547, 4604, 1797, 11231, 538, 693, 2547, 835, 540, 1767, 9300, 13980, 3248, 268, 693, 2547, 835, 5122, 5057, 11231, 593, 1767, 5547, 4604, 282, 543, 454, 268, 5122, 8220, 2609, 11231, 593, 1767, 5547, 4604, 585 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 22139, 540, 519, 4279, 20463, 6013, 519, 8225, 1744, 1752, 267, 513, 1360, 3504, 27230, 4183, 602, 12217, 17020, 539, 11635, 19725, 630, 289, 9281, 1040, 4813, 539, 476, 275, 547, 476, 273, 269, 276, 5479, 1296, 3516, 267, 645, 9281, 568, 1851, 3047, 779, 9510, 4224, 21272, 269, 2368, 645, 9281, 3568, 15455, 540, 3047, 779, 9998, 1272, 267, 588, 668, 520, 565, 2572, 267, 799, 941, 13479, 1319, 338, 4646, 593, 3504, 15798, 269, 769, 2487, 10979, 12698, 267, 519, 22260, 602, 1085, 10696, 519, 8225, 1744, 1752, 4547, 7725, 5627, 645, 9281, 543, 588, 668, 520, 565, 2572, 547, 519, 7013, 24528, 540, 519, 4279, 20463, 563, 22498, 779, 3131, 14651, 30024, 15354, 593, 9370, 593, 5988, 476, 1240, 267, 476, 1708, 272, 269, 4706, 5692, 267, 538, 851, 267, 568, 547, 1413, 585, 588, 668, 520, 565, 2572, 269, 1215, 18822, 594, 993, 547, 1265, 3504, 645, 9281, 5627, 588, 668, 520, 565, 2572, 2059, 8235, 12309, 779, 19382, 11076, 563, 4462, 17769, 946, 568, 19275, 0, 19751, 476, 1724, 267, 476, 1708, 273, 454, 273, 1295, 1224, 454, 288, 3461, 779, 2085, 267, 10335, 540, 2589, 267, 1297, 540, 3105, 6677, 21631, 543, 1920, 1686, 540, 17867, 4713, 941, 2404, 609, 513, 991, 585, 3606, 1416, 1354, 2875, 9845, 609, 6677, 15664, 1223, 2132, 547, 1404, 563, 291, 537, 6921, 553, 623, 269, 6833, 787, 267, 12854, 267, 513, 5778, 17595, 6048, 693, 519, 22505, 19270, 15664, 4741, 693, 966, 6387, 321, 2830, 2160, 538, 27850, 6807, 267, 570, 3317, 1421, 543, 9164, 8179, 547, 2697, 4632, 2404, 609, 3606, 6677, 15664, 16758, 11564, 1354, 513, 2875, 19002, 779, 5305, 547, 606, 18942, 26519, 269, 634, 3173, 4080, 741, 4681, 538, 519, 11916, 4750, 540, 11846, 6925, 563, 2108, 289, 5802, 569, 6340, 267, 476, 5952, 260, 547, 476, 3445, 260, 540, 2875, 9845, 1491, 476, 274, 4374, 610, 1447, 547, 24802, 9156, 689, 741, 6677, 15664, 543, 2154, 8766, 2564, 6304, 2223, 519, 4589, 5206, 563, 24404, 787, 543, 9164, 5342, 513, 24794, 8826, 20165, 1353, 1851, 2550, 9907, 476, 1321, 547, 476, 2537, 1296, 945, 4843, 609, 513, 5026, 5829, 6677, 15664, 689, 3967, 269, 476, 1556, 267, 476, 1001, 278, 267, 998, 3967, 269, 476, 1015, 267, 476, 1708, 271, 267, 543, 941, 26809, 547, 606, 18942, 26519, 563, 763, 4589, 3379, 1346, 945, 941, 26809, 547, 606, 18942, 26519, 1310, 741, 3355, 16758, 3643, 609, 1346, 945, 4682, 547, 3606, 16758, 11564, 1354, 741, 5305, 547, 513, 26519, 269, 589, 2550, 685, 2085, 267, 3023, 267, 3355, 3643, 10835, 6060, 267, 1920, 543, 2123, 1686, 540, 17867, 4524, 543, 26043, 267, 607, 1134, 607, 1686, 540, 1991, 6677, 15664, 941, 12290, 563, 288, 2698, 540, 476, 276, 2190, 2550, 941, 3769, 538, 519, 2079, 2443, 476, 26951, 941, 26809, 1310, 741, 3355, 16758, 3643, 282, 476, 25971, 2550, 2838, 3606, 16758, 11564, 563, 8170, 1346, 945, 1185, 3606, 16758, 11564, 1354, 741, 5305, 267, 519, 3173, 4080, 513, 2362, 3355, 10835, 6060, 267, 811, 7928, 2212, 9196, 267, 513, 1920, 1686, 540, 17867, 4713, 610, 26043, 267, 513, 7820, 2085, 543, 811, 7928, 6677, 21631, 950, 3379, 609, 1346, 945, 4607, 1175, 835, 16758, 3643, 563, 1103, 513, 2789, 4756, 2203, 267, 1920, 1686, 540, 17867, 2068, 630, 3036, 815, 476, 274, 269, 1321, 282, 476, 4817, 260, 16275, 267, 476, 272, 269, 7871, 268, 277, 269, 4097, 1070, 1991, 6677, 21631, 630, 3036, 815, 476, 272, 269, 4375, 282, 476, 4817, 260, 16275, 267, 476, 272, 269, 6349, 268, 272, 269, 8660, 1070, 3152, 3355, 10835, 6060, 630, 3036, 815, 476, 272, 269, 4962, 282, 476, 4817, 260, 16275, 267, 476, 272, 269, 6734, 268, 272, 269, 4962, 264, 543, 7820, 2085, 630, 3036, 815, 476, 271, 269, 9262, 282, 476, 4817, 260, 16275, 267, 476, 271, 269, 6507, 268, 271, 269, 9032, 264, 941, 9244, 2404, 609, 3606, 11564, 267, 519, 4589, 4080, 563, 2108, 18893, 2711, 6677, 15664, 1416, 1058, 2569, 519, 8458, 540, 7092, 1279, 3856, 8801, 4539, 610, 10024, 2132, 3562, 25178, 10873, 16349, 569, 2223, 6833, 787, 1767, 538, 513, 2046, 5305, 689, 519, 4760, 779, 17404, 269, 968, 15447, 1578, 540, 1713, 4632, 2404, 609, 3606, 16758, 11564, 949, 3565, 547, 1732, 6788, 6956, 676, 2550, 543, 741, 3885, 1282, 519, 6051, 1184, 3034, 7617, 2875, 268, 987, 2280, 525, 666, 581, 9108, 5950, 547, 606, 18942, 26519, 1310, 6677, 15664, 286, 4179, 2517, 4178, 269, 2908, 1873, 1047, 2593, 270, 14895, 270, 6518, 24713, 550, 268, 987, 2280, 525, 2275, 534, 15515, 1606, 12522, 569, 3146, 548, 1078, 3562, 12845, 268, 987, 2280, 545, 2389, 1778, 518, 8584, 1123, 8410, 322, 15664, 286, 2675, 284, 323, 3369, 337, 261, 15383, 284, 1911, 5881, 275, 4343, 269, 15618, 4239, 269, 476, 275, 267, 476, 1708, 273, 269, 21700, 4239, 269, 476, 1724, 267, 476, 1708, 273, 269, 0, 5475, 811, 982, 513, 1032, 540, 24187, 267, 7092, 543, 2669, 267, 972, 779, 1044, 835, 26124, 1769, 538, 713, 6855, 1107, 519, 4028, 1374, 540, 1896, 3810, 2500, 10074, 563, 307, 709, 7632, 2404, 609, 519, 5066, 719, 540, 519, 10074, 723, 1044, 1776, 2339, 267, 1018, 609, 5663, 2591, 267, 22520, 543, 519, 31464, 1145, 540, 1082, 547, 1491, 519, 6669, 267, 3976, 6650, 3739, 4126, 540, 8236, 23636, 12046, 563, 3719, 972, 779, 513, 5198, 2469, 593, 609, 713, 3644, 1107, 666, 649, 3945, 3729, 2614, 1004, 5001, 3533, 2614, 547, 2061, 519, 11944, 540, 14726, 602, 856, 342, 527, 519, 1459, 10074, 888, 5472, 8290, 10929, 13592, 543, 267, 607, 8290, 979, 267, 713, 835, 4573, 919, 5266, 7444, 269, 4107, 13592, 616, 9243, 281, 789, 1810, 1406, 1860, 519, 8897, 609, 799, 519, 3644, 19082, 610, 519, 10335, 540, 519, 3968, 563, 3719, 950, 267, 607, 538, 713, 2013, 267, 519, 3644, 9060, 865, 1082, 14747, 1472, 519, 1158, 267, 19692, 610, 2663, 930, 540, 1346, 13592, 786, 6961, 547, 581, 5906, 1317, 789, 1118, 621, 4443, 585, 519, 3644, 547, 3262, 267, 1118, 519, 3644, 811, 24037, 610, 948, 519, 3644, 547, 9101, 6923, 610, 6669, 9715, 12046, 610, 10659, 540, 1346, 1614, 3681, 563, 6546, 779, 10502, 1018, 779, 5949, 609, 713, 3644, 269, 10738, 513, 1906, 3275, 267, 1896, 14726, 7902, 602, 9863, 547, 581, 3810, 18993, 24777, 269, 769, 519, 2665, 540, 519, 772, 14389, 1421, 3162, 3979, 543, 19384, 14726, 267, 789, 941, 811, 2205, 12040, 269, 634, 5920, 540, 519, 772, 14389, 269, 14583, 538, 1880, 729, 4440, 519, 2601, 585, 519, 4028, 21782, 538, 2665, 7620, 538, 519, 772, 14389, 269, 543, 4166, 27502, 538, 2342, 267, 519, 772, 2529, 1421, 4516, 543, 1631, 3127, 563, 7197, 14726, 4125, 513, 4999, 540, 1079, 610, 811, 13592, 267, 799, 1860, 519, 3644, 685, 21782, 5946, 543, 8754, 519, 8897, 609, 799, 519, 26389, 9376, 5196, 519, 3984, 1591, 779, 31984, 268, 273, 13364, 543, 1930, 519, 1591, 779, 9703, 547, 519, 3644, 563, 5629, 972, 267, 519, 3644, 10717, 1164, 329, 2931, 519, 1591, 779, 12227, 547, 1118, 5215, 540, 12215, 540, 519, 3644, 267, 1354, 6368, 16802, 532, 519, 1591, 543, 16089, 1346, 12215, 883, 519, 10009, 563, 3383, 2484, 267, 519, 13592, 543, 14726, 723, 8959, 547, 3648, 2569, 519, 4791, 7145, 540, 519, 1699, 7693, 540, 10074, 1107, 602, 568, 267, 519, 1981, 540, 30674, 610, 513, 3978, 2013, 540, 5046, 269, 1809, 5693, 602, 779, 2009, 538, 519, 2104, 543, 519, 2601, 1946, 9755, 543, 1857, 1072, 20682, 6895, 519, 4657, 22308, 3068, 540, 713, 3644, 3168, 585, 3209, 267, 5732, 1454, 811, 5906, 13592, 543, 14726, 267, 543, 7654, 6451, 12381, 547, 741, 10074, 547, 2226, 741, 7145, 563, 6546, 779, 835, 1259, 547, 979, 827, 6061, 519, 1966, 540, 14726, 269, 4033, 3744, 2038, 593, 538, 713, 6855, 6700, 1776, 2619, 281, 4208, 711, 1020, 10074, 602, 3077, 1134, 15926, 5703, 4525, 540, 519, 3644, 685, 11646, 267, 799, 616, 2484, 1447, 11630, 547, 13592, 888, 4517, 2469, 1454, 2417, 267, 1946, 711, 1020, 10074, 1996, 782, 8318, 822, 21905, 602, 723, 6098, 3425, 971, 607, 16568, 17336, 268, 273, 630, 1492, 1699, 5046, 268, 866, 3644, 1070, 16568, 17336, 630, 1492, 3312, 16568, 1070, 631, 8991, 17336, 543, 1866, 1634, 547, 2014, 519, 1455, 4411, 286, 4208, 711, 267, 8197, 563, 6546, 1935, 602, 729, 6700, 547, 519, 2817, 4659, 540, 30665, 543, 29956, 15302, 630, 301, 8656, 2839, 264, 2038, 593, 538, 713, 6855, 267, 513, 11556, 602, 2689, 619, 2808, 606, 968, 719, 9227, 892, 2856, 267, 1175, 711, 1287, 950, 1034, 6669, 9367, 4941, 547, 2712, 326, 1836, 1020, 10074, 585, 713, 1808, 3644, 267, 2760, 31935, 519, 3644, 1131, 1831, 519, 2367, 864, 621, 2968, 543, 5170, 547, 581, 563, 3719, 1631, 602, 6669, 9367, 723, 519, 5580, 1688, 267, 621, 779, 942, 547, 2132, 547, 513, 811, 13598, 11556, 2966, 547, 4308, 609, 2104, 14726, 676, 9256, 883, 835, 6669, 3810, 24721, 267, 12691, 547, 1689, 267, 18970, 545, 3334, 689, 782, 8318, 822, 21905, 602, 4323, 3425, 563, 290, 10248, 909, 609, 14726, 593, 519, 8038, 676, 22212, 1699, 10074, 607, 1007, 14726, 21074, 568, 7199, 543, 4440, 711, 513, 14323, 3070, 585, 1018, 814, 1831, 513, 5001, 1966, 602, 779, 2469, 547, 581, 609, 721, 585, 519, 2062, 5408, 762, 2104, 563, 288, 13598, 6669, 1131, 1118, 513, 14952, 331, 748, 26259, 6669, 2899, 519, 6855, 3936, 956, 1524, 267, 607, 513, 11064, 547, 2104, 27503, 5774, 12515, 269, 1306, 621, 7140, 856, 267, 1082, 3744, 3238, 609, 8888, 2770, 10074, 616, 3168, 693, 513, 2147, 1935, 1107, 9192, 18970, 545, 3334, 689, 607, 1082, 2770, 14726, 607, 2009, 883, 835, 6669, 563, 2690, 1312, 519, 11452, 543, 14798, 3644, 267, 519, 2856, 568, 547, 8936, 1346, 11347, 18970, 545, 3940, 3334, 547, 930, 1106, 540, 17560, 14835, 24775, 1107, 865, 9112, 1107, 602, 1169, 18970, 545, 3940, 814, 606, 3160, 4316, 547, 12954, 519, 4761, 1062, 269, 898, 779, 513, 15931, 2856, 602, 5310, 814, 1336, 922, 942, 563, 288, 2147, 3070, 585, 1079, 3885, 540, 8290, 2306, 2631, 547, 803, 269, 1656, 9039, 540, 721, 786, 4413, 519, 1455, 4411, 1058, 971, 513, 13598, 11452, 6669, 2490, 856, 547, 960, 269, 11569, 267, 814, 4896, 1185, 513, 4411, 610, 2770, 713, 4005, 286, 1924, 2484, 267, 621, 779, 1044, 513, 968, 7224, 2770, 892, 4005, 563, 6546, 781, 513, 26460, 538, 519, 1286, 333, 720, 540, 5046, 268, 866, 563, 7804, 269, 5261, 9466, 568, 513, 7548, 540, 11719, 344, 693, 5062, 22913, 2160, 543, 1071, 1922, 10133, 540, 519, 27084, 8234, 3126, 693, 519, 15281, 698, 4673, 6823, 7308, 6441, 820, 5398, 7732, 269, 0, 26296, 1852, 568, 513, 1599, 540, 1870, 602, 9388, 609, 15271, 267, 9276, 267, 2724, 267, 5291, 2517, 332, 2292, 268, 24597, 2593, 270, 1708, 272, 270, 6187, 270, 1704, 270, 6343, 28104, 7308, 1532, 652, 8686, 23709, 1673, 1092, 268, 3336, 268, 7809, 2264, 543, 5491, 269, 3958, 267, 621, 568, 7255, 609, 519, 1379, 540, 606, 9872, 547, 4163, 856, 741, 5692, 269, 1717, 2073, 972, 616, 930, 3119, 3604, 1063, 2883, 5883, 543, 519, 3606, 1870, 2934, 269, 12989, 616, 513, 1297, 540, 519, 3604, 5473, 519, 1079, 269, 18227, 891, 538, 2212, 666, 948, 596, 547, 2824, 519, 1318, 835, 2139, 585, 596, 269, 3367, 593, 547, 1451, 811, 269, 1403, 596, 616, 3206, 827, 4742, 513, 2883, 9614, 267, 972, 616, 7899, 540, 2081, 596, 666, 1353, 621, 563, 2414, 1118, 513, 7443, 267, 606, 13055, 2115, 1434, 6666, 543, 28880, 269, 898, 12651, 891, 2724, 998, 2123, 7963, 610, 32097, 14104, 269, 11038, 9946, 948, 547, 1832, 513, 27357, 3666, 1851, 891, 1079, 2010, 540, 14104, 269, 901, 2337, 547, 2327, 602, 519, 2754, 568, 2356, 1134, 1790, 3789, 539, 585, 519, 3483, 540, 2104, 1646, 269, 634, 7525, 6859, 540, 2804, 2359, 949, 4782, 547, 581, 14894, 539, 538, 519, 1279, 24507, 269, 1280, 1383, 2073, 606, 3919, 602, 568, 9561, 2724, 949, 6430, 547, 6175, 922, 10986, 543, 10697, 3490, 269, 901, 786, 2569, 5665, 3790, 543, 1450, 609, 14621, 547, 1964, 31382, 543, 835, 6066, 2472, 269, 634, 1279, 3856, 3804, 267, 2943, 2073, 1522, 581, 547, 3035, 513, 811, 7347, 3510, 538, 519, 2344, 563, 306, 22066, 2883, 4238, 568 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 711, 1294, 621, 607, 6739, 855, 2864, 607, 812, 1500, 267, 602, 649, 3425, 1185, 2944, 713, 269, 634, 8360, 968, 763, 6607, 779, 519, 3970, 892, 729, 1631, 513, 8360, 540, 519, 2250, 269, 901, 729, 2230, 2336, 763, 10131, 540, 590, 1584, 23364, 3361, 1390, 1526, 1716, 566, 538, 519, 2136, 2276, 269, 1284, 1185, 15468, 3297, 519, 28592, 269, 1284, 941, 1100, 3476, 519, 1152, 6345, 693, 519, 4099, 540, 519, 3942, 540, 1480, 9909, 543, 17050, 269, 898, 814, 1044, 24080, 17019, 602, 713, 2680, 15427, 519, 2230, 5198, 543, 7914, 3323, 513, 5756, 685, 1279, 8561, 593, 519, 3450, 540, 2257, 693, 782, 2157, 538, 519, 2136, 2276, 269, 10738, 519, 2796, 540, 519, 4411, 2112, 267, 713, 2197, 5433, 12219, 267, 7925, 543, 13934, 269, 2334, 1686, 814, 1044, 1134, 13006, 267, 865, 594, 786, 1413, 693, 824, 7835, 602, 2095, 539, 689, 713, 2680, 476, 2004, 1296, 3516, 602, 2303, 875, 5963, 1713, 621, 2731, 729, 563, 306, 1584, 23364, 3576, 2230, 856, 540, 2257, 5708, 883, 4641, 267, 689, 1018, 952, 547, 1631, 269, 589, 812, 18478, 1843, 1185, 2451, 519, 4541, 799, 538, 2490, 22485, 519, 829, 24632, 3774, 540, 20159, 547, 1397, 513, 2361, 540, 796, 19960, 514, 762, 7872, 269, 898, 2968, 513, 4704, 1448, 543, 513, 14165, 540, 1761, 607, 538, 968, 20756, 267, 952, 519, 28592, 666, 2322, 513, 9682, 883, 2230, 649, 666, 798, 3071, 263, 3369, 7241, 729, 519, 5326, 729, 1373, 5941, 1040, 898, 729, 713, 1826, 540, 3206, 602, 3366, 547, 5518, 17394, 779, 1390, 4633, 538, 476, 3422, 272, 827, 13941, 513, 812, 593, 519, 7599, 543, 8744, 1864, 1753, 9108, 1354, 519, 1439, 540, 519, 8717, 269, 15154, 8118, 909, 563, 763, 5452, 540, 3206, 11451, 941, 1101, 1792, 1233, 609, 590, 1584, 23364, 269, 1879, 3627, 3794, 3317, 543, 1287, 1866, 11497, 1243, 519, 4541, 267, 519, 1158, 19557, 607, 835, 547, 519, 1480, 10618, 689, 2230, 269, 1284, 782, 14478, 621, 593, 7641, 269, 2290, 540, 721, 267, 513, 1480, 267, 729, 909, 972, 269, 3973, 972, 941, 1079, 540, 721, 267, 1287, 1614, 693, 513, 942, 269, 5272, 10131, 883, 2230, 2968, 519, 8789, 3377, 1650, 585, 519, 8653, 540, 519, 8184, 269, 898, 3366, 519, 1007, 2675, 6814, 543, 729, 2141, 593, 519, 4395, 2985, 269, 18479, 1597, 1296, 1310, 590, 1584, 23364, 267, 593, 8285, 18832, 267, 476, 3422, 279, 267, 519, 4583, 968, 24160, 4473, 892, 8666, 729, 13739, 689, 21011, 476, 279, 269, 1284, 782, 4718, 519, 3047, 607, 513, 4190, 4544, 4541, 11303, 676, 12808, 3109, 1145, 269, 3776, 19236, 1753, 8604, 865, 17866, 543, 4805, 538, 519, 7122, 563, 1607, 729, 519, 1101, 942, 538, 519, 1686, 540, 8103, 602, 649, 1223, 782, 1294, 513, 8523, 540, 938, 4541, 689, 2230, 269, 901, 2582, 3239, 267, 811, 982, 1022, 824, 267, 9250, 519, 2825, 3350, 269, 898, 729, 2312, 602, 519, 4541, 729, 10475, 543, 13113, 269, 634, 1101, 3047, 4303, 729, 538, 476, 3192, 271, 267, 476, 1724, 1296, 1310, 519, 10131, 540, 590, 1584, 23364, 269, 769, 930, 1279, 543, 23090, 1259, 267, 938, 1699, 2518, 2825, 9637, 814, 6738, 689, 519, 10131, 540, 590, 1584, 23364, 269, 21244, 32511, 340, 7315, 779, 1390, 2825, 10839, 729, 1759, 538, 2230, 16166, 281, 968, 2467, 616, 1100, 15915, 593, 14136, 3047, 267, 649, 616, 782, 12284, 9731, 763, 7872, 540, 2230, 602, 649, 782, 3323, 547, 2661, 609, 1310, 590, 1584, 23364, 5280, 547, 3337, 519, 31341, 6681, 8717, 540, 519, 476, 3422, 271, 338, 269, 2755, 8304, 21601, 267, 6406, 7126, 267, 4224, 2575, 543, 5061, 616, 1034, 1419, 21433, 607, 519, 1689, 8069, 540, 713, 8717, 267, 2230, 3408, 729, 849, 513, 2101, 3310, 269, 8330, 14347, 267, 513, 2259, 540, 12605, 1759, 2390, 10785, 2968, 3833, 2442, 1107, 6520, 540, 13985, 23581, 4896, 286, 1306, 5018, 1657, 267, 3206, 8118, 909, 269, 26321, 2924, 286, 4208, 711, 256, 5269, 2648, 711, 2112, 286, 8786, 256, 1403, 812, 666, 979, 883, 2230, 646, 666, 4194, 18714, 2042, 563, 306, 1584, 23364, 849, 3323, 1945, 602, 729, 3833, 1713, 538, 519, 2136, 2276, 269, 769, 24918, 267, 519, 2197, 1185, 1044, 4625, 20834, 1242, 547, 3094, 519, 4279, 2782, 269, 1548, 519, 2197, 12913, 538, 1346, 1906, 2110, 1296, 1185, 1100, 3140, 9551, 775, 269, 2991, 519, 2112, 267, 543, 909, 2394, 590, 1584, 23364, 267, 519, 2136, 2276, 3576, 513, 1454, 2877, 13884, 2736, 269, 901, 729, 519, 942, 540, 27657, 267, 1016, 7875, 807, 543, 519, 1286, 2528, 269, 1284, 1185, 4465, 543, 649, 10150, 519, 5613, 540, 938, 10888, 269, 590, 1584, 23364, 15427, 513, 4254, 16478, 538, 519, 2197, 269, 3013, 4951, 3294, 547, 581, 2111, 547, 20834, 1125, 1472, 513, 3804, 267, 513, 5692, 540, 1390, 3140, 9588, 269, 769, 476, 1321, 2110, 1296, 649, 4682, 689, 513, 1507, 12106, 581, 9429, 922, 1259, 1472, 519, 4541, 267, 547, 2965, 6972, 593, 519, 7599, 269, 634, 2229, 267, 8331, 267, 1870, 543, 519, 12504, 787, 782, 1071, 2297, 1027, 1472, 713, 11212, 11121, 5692, 563, 2171, 991, 547, 798, 713, 1586, 2221, 269, 901, 942, 711, 1175, 607, 513, 4182, 855, 607, 835, 540, 1082, 6082, 602, 991, 547, 12840, 547, 4194, 519, 2518, 1648, 1966, 269, 3767, 267, 607, 538, 476, 4198, 278, 267, 649, 616, 12219, 267, 7925, 543, 13934, 282, 1152, 1631, 621, 568, 782, 540, 8103, 602, 8188, 513, 7372, 1966, 269, 4653, 621, 568, 519, 4161, 540, 4466, 4625, 7791, 1648, 543, 607, 3728, 607, 649, 666, 269, 4495, 1586, 519, 3070, 568, 2230, 269, 589, 1297, 540, 519, 1390, 3744, 602, 723, 1044, 26906, 1934, 538, 713, 5816, 723, 6462, 606, 968, 25721, 18099, 6438, 892, 1982, 547, 10131, 543, 1628, 7372, 20771, 3859, 2230, 10473, 269, 18741, 18852, 2066, 267, 891, 7372, 2048, 338, 6897, 8440, 538, 2230, 685, 666, 1683, 3592, 782, 519, 1648, 2115, 540, 8103, 1354, 519, 1439, 540, 713, 2540, 269, 595, 6817, 6611, 9891, 5295, 630, 7704, 303, 264, 610, 6611, 9891, 6052, 630, 7704, 292, 264, 621, 568, 519, 2582, 1655, 2462, 3070, 585, 519, 4541, 563, 5472, 1648, 593, 3047, 2501, 998, 835, 1184, 610, 1776, 689, 519, 3141, 269, 634, 3141, 568, 519, 2707, 540, 782, 1648, 538, 938, 3859, 1062, 269, 1635, 8380, 1896, 1804, 3859, 8440, 538, 2520, 334, 1606, 2106, 28942, 10739, 1472, 519, 4541, 543, 23142, 519, 3859, 1648, 9676, 1394, 1524, 547, 3618, 649, 666, 1683, 1648, 547, 3047, 585, 607, 1279, 607, 972, 568, 519, 3141, 269, 634, 2029, 568, 782, 2139, 543, 267, 1282, 519, 1576, 540, 519, 476, 736, 1296, 621, 786, 1491, 547, 2322, 519, 1101, 9399, 303, 9682, 538, 10739, 267, 621, 666, 581, 2417, 15568, 269, 634, 1434, 3377, 568, 602, 519, 29426, 2230, 3549, 538, 519, 4357, 5823, 616, 3728, 16042, 519, 942, 950, 789, 666, 1711, 513, 1870, 540, 9505, 339, 1782, 1394, 543, 8521, 883, 2230, 267, 12419, 782, 519, 2326, 2877, 585, 891, 7372, 15408, 269, 589, 3020, 11450, 540, 2229, 4287, 543, 7616, 267, 6462, 676, 585, 7443, 3549, 543, 513, 5075, 540, 4126, 267, 9322, 543, 6668, 593, 519, 851, 540, 782, 2518, 4961, 454, 2005, 568, 2312, 602, 713, 3804, 2115, 547, 581, 1305, 269, 634, 4961, 540, 519, 1158, 543, 741, 6608, 991, 547, 2097, 1927, 1472, 1776, 2230, 1759, 5075, 602, 786, 711, 1152, 4194, 519, 1034, 10296, 1966, 540, 519, 942, 855, 1131, 849, 267, 998, 519, 4674, 267, 585, 613, 519, 4098, 540, 513, 1007, 2518, 5736, 540, 9316, 269, 4208, 711, 256, 6733, 1018, 649, 1705, 1310, 590, 1584, 23364, 269, 0, 2237, 519, 946, 540, 1739, 3758, 31452, 609, 606, 1383, 10778, 5353, 2131, 326, 263, 2567, 901, 1599, 568, 1031, 547, 3406, 519, 1239, 31632, 538, 513, 3758, 950, 519, 3758, 568, 8118, 538, 1224, 7154, 563, 306, 7417, 298, 294, 3890, 9890, 529, 1031, 547, 1847, 519, 1205, 24072, 547, 513, 5551, 4087, 609, 2463, 547, 513, 4704, 1448, 563, 306, 9321, 1314, 2433, 3758, 7272, 334, 5793, 269, 572, 2131, 326, 630, 15893, 540, 25466, 2073, 13129, 1448, 11850, 7078, 2433, 1710, 269, 572, 2131, 326, 263, 1015, 267, 3930, 26012, 1917, 5148 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 12007, 12191, 2337, 547, 2708, 513, 7184, 1620, 540, 1514, 6384, 540, 1004, 945, 786, 4309, 519, 6304, 563, 763, 11556, 1131, 581, 689, 606, 15834, 5133, 267, 5473, 912, 268, 6987, 2400, 2361, 960, 2676, 268, 23840, 540, 17801, 4919, 2553, 585, 1239, 4015, 630, 7945, 607, 16045, 8343, 540, 1153, 543, 1920, 2853, 267, 5638, 538, 513, 2361, 19701, 543, 922, 13604, 1062, 520, 1242, 994, 268, 14171, 883, 2272, 782, 1514, 11051, 630, 7945, 607, 3610, 267, 1053, 267, 1920, 267, 543, 2146, 264, 602, 2097, 883, 1404, 267, 585, 1383, 676, 7311, 538, 3829, 11042, 543, 5660, 2047, 519, 2238, 538, 1153, 267, 1753, 610, 6753, 540, 5872, 269, 769, 713, 2631, 267, 621, 568, 1898, 547, 581, 3222, 540, 1018, 789, 968, 25669, 789, 798, 892, 543, 1018, 968, 16269, 798, 892, 538, 3232, 1272, 269, 25037, 532, 891, 1079, 3344, 1058, 581, 3730, 547, 1174, 1018, 4523, 538, 1483, 6384, 17804, 609, 2069, 3853, 543, 2157, 540, 11558, 267, 1455, 1620, 540, 519, 1949, 267, 543, 10721, 2853, 563, 2005, 568, 2009, 602, 1142, 1895, 814, 1114, 11994, 540, 2621, 267, 543, 713, 2460, 666, 1860, 3347, 267, 2792, 267, 1599, 267, 543, 4879, 540, 3853, 538, 606, 3872, 2146, 563, 2026, 5892, 5018, 267, 782, 1346, 3344, 616, 4143, 547, 723, 543, 11455, 8223, 540, 2069, 543, 1153, 6384, 267, 607, 1134, 607, 5171, 685, 3232, 1272, 269, 0, 8368, 540, 12937, 454, 3963, 1705, 14884, 3247, 1210, 9348, 334, 4680, 888, 9213, 267, 7064, 547, 2780, 2029, 543, 2804, 13766, 267, 9348, 334, 4680, 1100, 3476, 1246, 3013, 779, 14884, 269, 634, 2101, 16456, 338, 723, 19944, 4240, 741, 946, 267, 4849, 593, 930, 2110, 24507, 26708, 543, 5826, 14884, 269, 21805, 3549, 2161, 519, 3926, 6104, 8460, 3388, 519, 9348, 5366, 1705, 1532, 583, 14949, 543, 1732, 563, 3963, 568, 972, 1100, 9348, 5366, 593, 14884, 888, 290, 629, 334, 4680, 2221, 616, 6140, 1031, 952, 513, 5721, 814, 547, 979, 18807, 585, 606, 6905, 1974, 540, 942, 543, 519, 11653, 6499, 2576, 538, 1394, 547, 1294, 1141, 519, 26708, 6517, 616, 2469, 269, 4634, 538, 1346, 2665, 267, 519, 9348, 5366, 568, 9561, 2666, 2094, 1082, 26708, 3549, 4782, 547, 946, 513, 2034, 2599, 538, 519, 1394, 267, 30330, 1767, 563, 1432, 568, 519, 1101, 1286, 538, 513, 5721, 1572, 888, 1692, 1279, 568, 513, 5721, 2599, 888, 763, 8028, 7785, 271, 290, 310, 568, 513, 476, 277, 267, 1822, 268, 1817, 572, 12741, 630, 275, 267, 4335, 737, 310, 264, 4155, 2220, 527, 7815, 17088, 3167, 21525, 12067, 3710, 676, 23817, 18815, 269, 898, 568, 1851, 519, 1158, 779, 1034, 3532, 2582, 268, 1263, 1441, 17088, 21525, 582, 1161, 16634, 12283, 8028, 7785, 271, 290, 310, 563, 347, 12640, 601, 8006, 1475, 5655, 538, 630, 272, 267, 6187, 278, 6515, 10245, 347, 21920, 1475, 10602, 10264, 476, 271, 538, 630, 2537, 269, 1626, 544, 10245, 347, 310, 5954, 1475, 1015, 10264, 476, 274, 538, 630, 274, 269, 1321, 544, 10245, 347, 3891, 697, 1475, 1626, 10264, 476, 271, 538, 630, 275, 269, 6434, 544, 10245, 1432, 1826, 540, 4492, 798, 14884, 946, 888, 2710, 14884, 723, 24039, 888, 19640, 21525, 582, 1161, 946, 3167, 20086, 269, 901, 568, 1454, 811, 8465, 982, 24039, 269, 667, 625, 1564, 2196, 18402, 689, 519, 13674, 2599, 630, 17141, 3586, 18165, 264, 543, 2981, 519, 1648, 1210, 606, 3124, 1807, 270, 10090, 1807, 547, 2196, 519, 20086, 16546, 269, 3143, 267, 14884, 723, 1100, 24039, 267, 2094, 891, 616, 4652, 29342, 1043, 563, 1692, 1454, 16671, 568, 513, 5721, 2599, 888, 763, 2599, 568, 519, 1034, 1271, 851, 538, 17088, 21525, 582, 1161, 543, 3761, 519, 1379, 547, 2490, 519, 14743, 269, 634, 2599, 568, 849, 1572, 513, 968, 28269, 631, 1478, 6100, 1452, 9817, 616, 5458, 267, 2356, 2348, 476, 1626, 595, 2643, 785, 619, 267, 476, 3953, 4406, 1407, 543, 827, 476, 1911, 267, 1822, 547, 476, 5611, 267, 1822, 524, 322, 12761, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 538, 1582, 21553, 2889, 22777, 269, 1452, 2418, 2992, 519, 6626, 10206, 540, 10343, 1336, 1369, 6154, 655, 21863, 910, 22205, 1004, 1759, 593, 741, 1915, 2864, 982, 5007, 2188, 563, 290, 269, 16792, 20504, 766, 538, 7073, 5980, 454, 17457, 6154, 655, 3517, 3136, 547, 9784, 519, 6240, 540, 10343, 676, 10283, 538, 26988, 2238, 6322, 693, 5355, 2950, 5001, 269, 1358, 3895, 13784, 267, 18245, 1367, 4978, 1247, 5807, 1455, 3853, 269, 1306, 2104, 3401, 267, 1565, 827, 10343, 538, 6154, 655, 21863, 7512, 1053, 547, 1871, 3604, 543, 11441, 4724, 9322, 780, 4089, 4083, 281, 10289, 3281, 6842, 538, 13221, 454, 288, 269, 9502, 540, 3281, 6842, 538, 13221, 454, 15253, 6842, 6013, 693, 519, 2295, 540, 10067, 27011, 13221, 267, 3989, 607, 25091, 9637, 585, 519, 7092, 540, 1866, 10483, 676, 513, 7287, 547, 13468, 602, 1928, 269, 26636, 20130, 3430, 11663, 12013, 1518, 17519, 2623, 267, 27185, 11238, 562, 597, 341, 3570, 2394, 1169, 2366, 1304, 1373, 31267, 21481, 563, 289, 269, 3474, 762, 540, 519, 18771, 731, 23268, 454, 3080, 1134, 8153, 14418, 1612, 762, 14550, 8296, 998, 519, 1650, 540, 918, 13453, 20944, 9564, 267, 4171, 1126, 10523, 911, 326, 1227, 269, 2677, 704, 622, 547, 2847, 633, 1200, 5067, 267, 1352, 11394, 948, 689, 519, 17700, 267, 945, 4051, 338, 1200, 547, 5531, 28401, 5452, 689, 3885, 2150, 31189, 676, 2669, 269, 1133, 762, 547, 1265, 971, 10820, 267, 918, 13453, 16137, 1272, 781, 6650, 2006, 775, 543, 9060, 24176, 538, 4687, 1200, 16012, 7326, 563, 290, 269, 4980, 22899, 3281, 6842, 538, 11545, 5020, 454, 7437, 9066, 2553, 899, 5450, 3279, 645, 6409, 3570, 630, 331, 8221, 29292, 1145, 1070, 11009, 5751, 267, 543, 6411, 540, 28908, 267, 4896, 666, 11349, 8296, 3232, 269, 20876, 25872, 2636, 721, 547, 1521, 1866, 24963, 543, 6536, 2318, 3347, 780, 4089, 8633, 281, 20710, 3101, 16610, 3842, 19565, 9085, 454, 288, 269, 19805, 31999, 12267, 454, 17315, 8736, 5708, 2835, 10023, 14418, 10752, 2709, 11541, 6386, 15386, 10343, 543, 8296, 269, 8564, 2085, 29003, 10643, 5466, 3584, 971, 607, 11648, 267, 2530, 267, 11505, 267, 610, 2686, 3017, 269, 6201, 1331, 912, 268, 834, 10376, 9877, 1145, 257, 676, 10496, 638, 5202, 8381, 5459, 454, 268, 834, 306, 611, 752, 334, 543, 519, 23897, 663, 7433, 595, 3757, 525, 257, 676, 661, 32642, 3213, 20482, 454, 268, 834, 313, 523, 1744, 2176, 257, 676, 13744, 808, 631, 3578, 454, 289, 269, 17564, 5999, 1299, 11242, 454, 21886, 5971, 2565, 3206, 543, 2123, 8086, 676, 30286, 2055, 3823, 3197, 262, 3527, 267, 4664, 267, 543, 18144, 269, 1280, 3236, 281, 1215, 1705, 1924, 30394, 1676, 18266, 6542, 10343, 286, 1548, 1909, 1281, 8296, 1404, 538, 20547, 7526, 286, 5071, 3860, 3785, 20872, 1053, 547, 4019, 4121, 3741, 267, 899, 1603, 3312, 2110, 2984, 610, 2870, 13371, 14816, 14624, 540, 6074, 5931, 780, 6962, 912, 3528, 18167, 883, 519, 2035, 540, 10343, 538, 6154, 655, 21863, 543, 8296, 538, 13221, 267, 1053, 2744, 3407, 4030, 10858, 3564, 4081, 5468, 269, 22034, 11174, 5708, 3332, 5849, 3015, 29293, 540, 1950, 2093, 267, 16779, 6107, 547, 1831, 8069, 540, 1689, 5009, 538, 1816, 4369, 543, 6568, 538, 741, 1378, 2729, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 5824, 934, 760, 699, 267, 4309, 267, 729, 689, 740, 267, 2495, 968, 1729, 2223, 543, 1698, 699, 267, 2495, 968, 339, 820, 2223, 4061, 547, 1491, 267, 547, 4309, 269, 634, 12809, 29095, 1222, 543, 22612, 267, 855, 1310, 519, 32096, 540, 713, 729, 3398, 639, 269, 769, 7358, 894, 631, 21863, 2818, 941, 15861, 998, 1576, 540, 942, 267, 543, 950, 519, 14958, 1185, 13175, 547, 9178, 267, 9543, 5443, 945, 1185, 1100, 9837, 540, 3257, 26767, 685, 960, 855, 941, 5461, 538, 519, 14958, 585, 1514, 267, 610, 5310, 585, 1884, 1172, 4115, 4128, 267, 941, 7608, 892, 883, 15376, 282, 547, 10646, 891, 9543, 5443, 631, 3517, 689, 519, 7358, 2510, 538, 519, 15376, 789, 941, 1572, 519, 968, 10907, 1061, 539, 1848, 2991, 476, 14378, 278, 267, 950, 519, 2898, 14958, 729, 19117, 883, 513, 2605, 24471, 267, 782, 2818, 2968, 1875, 14114, 704, 2510, 267, 8754, 938, 946, 540, 519, 2262, 538, 971, 2453, 607, 968, 10403, 543, 20504, 539, 631, 3517, 3034, 23742, 3780, 568, 5824, 585, 5067, 267, 2083, 807, 585, 8250, 282, 519, 18772, 968, 2378, 892, 568, 513, 1106, 540, 519, 5824, 740, 267, 2495, 547, 1039, 547, 269, 1677, 581, 28337, 1797, 4061, 547, 581, 7550, 883, 513, 1920, 607, 513, 5067, 610, 8250, 267, 513, 2495, 602, 18991, 6227, 513, 28224, 779, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 16337, 1315, 16241, 1315, 14418, 1315, 9752, 3281, 6842, 998, 14418, 674, 1963, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 20821, 19626, 267, 513, 1360, 2027, 12016, 19995, 256, 1809, 1018, 1281, 602, 1611, 286, 4270, 267, 1577, 781, 2736, 621, 1524, 1927, 780, 5331, 596, 979, 547, 1294, 707, 4387, 950, 596, 2811, 4743, 796, 6202, 269, 1358, 1522, 2285, 596, 4915, 610, 4363, 5574, 547, 948, 596, 1745, 1732, 269, 589, 12016, 19995, 666, 798, 782, 1346, 1919, 1932, 910, 789, 1175, 723, 3063, 2866, 865, 789, 666, 1683, 1256, 811, 1416, 547, 741, 2550, 269, 2334, 781, 1946, 649, 1289, 873, 834, 611, 341, 2331, 2259, 11923, 15323, 3086, 267, 972, 616, 1114, 2010, 540, 12016, 9439, 4470, 593, 1141, 789, 3442, 547, 1445, 741, 1983, 269, 2368, 960, 1152, 609, 9002, 267, 1866, 1522, 1491, 1416, 540, 11361, 1004, 267, 1247, 938, 3659, 19626, 4956, 547, 1831, 606, 4274, 538, 4543, 11570, 609, 2790, 1072, 2152, 899, 4965, 267, 4160, 267, 11838, 267, 610, 17299, 4524, 269, 1284, 1289, 713, 1826, 540, 8808, 267, 834, 23991, 5369, 12278, 10076, 2657, 29237, 31943, 518, 1701, 2372, 924, 513, 5023, 995, 267, 1318, 286, 5213, 1405, 5855, 1498, 282, 922, 1292, 3804, 568, 1818, 2386, 3025, 7959, 18668, 543, 8902, 14156, 780, 3719, 875, 1705, 19626, 1205, 1934, 286, 4279, 2243, 256, 6969, 4742, 513, 12016, 19995, 267, 1352, 6594, 2797, 2257, 1317, 1620, 875, 1949, 960, 630, 3697, 6608, 610, 3782, 264, 2337, 1200, 6330, 1950, 3871, 269, 3973, 1352, 798, 557, 883, 1565, 827, 5778, 326, 770, 549, 10938, 1108, 1107, 799, 4992, 2706, 7294, 855, 2965, 1797, 4974, 519, 4276, 1063, 519, 2634, 267, 13285, 267, 543, 12536, 269, 5994, 952, 1169, 942, 596, 941, 8401, 267, 17984, 4904, 707, 6084, 3240, 282, 1134, 267, 602, 781, 4010, 519, 2186, 540, 3095, 891, 3744, 8495, 2439, 7661, 267, 1310, 13215, 5778, 326, 770, 549, 10938, 1108, 267, 1352, 4682, 1394, 547, 1153, 835, 2063, 942, 547, 1353, 2618, 17226, 4481, 269, 901, 4847, 1200, 547, 32260, 1200, 2645, 585, 5885, 1004, 10010, 609, 2790, 1072, 2591, 269, 27009, 267, 1352, 1568, 609, 6107, 543, 4079, 7231, 609, 1585, 2790, 10108, 2066, 2789, 5468, 267, 689, 18241, 13646, 547, 5691, 20499, 998, 1945, 1572, 834, 974, 548, 17595, 17226, 2437, 8220, 609, 2950, 538, 4025, 899, 23497, 543, 16855, 780, 2791, 949, 4898, 1946, 2576, 1131, 4142, 6510, 741, 1272, 547, 4543, 1866, 4383, 741, 4664, 543, 4555, 269, 898, 7140, 856, 602, 2921, 1434, 1416, 540, 938, 8186, 6927, 1631, 811, 982, 2479, 1354, 269, 1879, 938, 12058, 5749, 1405, 2324, 7157, 267, 3388, 3116, 3587, 9875, 910, 4189, 1134, 267, 12008, 2614, 267, 2519, 593, 4247, 267, 11981, 12348, 267, 610, 3274, 2348, 1187, 609, 2828, 269, 1635, 1373, 972, 585, 1004, 1282, 9157, 2053, 267, 19626, 2306, 513, 1483, 3017, 538, 741, 2729, 267, 7175, 873, 547, 7753, 9465, 543, 1265, 8788, 1586, 780, 13914, 827, 621, 281, 9327, 1405, 621, 581, 5863, 952, 649, 1223, 782, 1451, 875, 547, 1489, 1142, 824, 1732, 267, 2523, 950, 6849, 3929, 23434, 286, 9320, 14693, 9358, 786, 6443, 19626, 543, 3565, 547, 5355, 2790, 1072, 1416, 585, 3025, 1472, 596, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 28494, 4785, 3198, 667, 7968, 3008, 12702, 3201, 292, 267, 10790, 267, 9049, 301, 267, 6751, 295, 23259, 5174, 290, 454, 306, 639, 534, 1546, 303, 553, 638, 1446, 568, 513, 4604, 2275, 1068, 1881, 7731, 5369, 12278, 10076, 2657, 29237, 31943, 518, 269, 4173, 1699, 2259, 568, 609, 6107, 543, 4079, 945, 723, 2790, 10108, 538, 1312, 538, 18345, 543, 30229, 5468, 267, 1519, 7658, 17595, 17226, 585, 23497, 543, 16855, 2950, 269, 2701, 6192, 1200, 9457, 540, 3203, 538, 11572, 3163, 693, 519, 2160, 540, 15117, 267, 3703, 12052, 267, 9457, 540, 3163, 538, 16711, 693, 22208, 7414, 2160, 538, 22208, 267, 6115, 267, 609, 513, 1445, 538, 5778, 326, 770, 549, 10938, 1108, 267, 543, 519, 5403, 5336, 2120, 540, 3163, 538, 16711, 693, 519, 23497, 3557, 2160, 538, 4425, 345, 17507, 267, 23497, 609, 513, 1445, 538, 2618, 17226, 269, 2701, 814, 5249, 609, 1507, 543, 6917, 3782, 6887, 538, 3703, 12052, 543, 519, 19566, 17197, 1559, 267, 4516, 267, 543, 538, 3450, 543, 1382, 10506, 971, 607, 3038, 2064, 2657, 543, 9098, 28224, 6481, 4741, 6226, 24304, 543, 20506, 8376, 3493, 25902, 538, 22208, 269, 4595, 476, 1001, 273, 267, 1352, 814, 1044, 8362, 3238, 538, 2228, 11173, 2069, 1982, 1821, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 7170, 281, 1215, 547, 5192, 681, 573, 540, 6181, 543, 14022, 22458, 630, 294, 597, 3149, 262, 9990, 994, 25275, 13117, 7529, 284, 692, 6701, 596, 13110, 540, 695, 3058, 267, 14589, 532, 267, 610, 7231, 609, 13311, 1850, 543, 6186, 4552, 286, 901, 3102, 3391, 786, 3802, 596, 998, 1585, 2409, 547, 948, 596, 2161, 1434, 25742, 547, 602, 26240, 5652, 1560, 4552, 269, 3245, 10151, 3435, 899, 695, 3058, 543, 1244, 559, 2218, 1212, 4461, 547, 3476, 18835, 3681, 971, 607, 8955, 5574, 543, 14793, 3974, 267, 649, 723, 3893, 596, 4988, 2439, 1262, 8368, 540, 12937, 16001, 272, 269, 1744, 3058, 454, 273, 269, 3493, 559, 2218, 31201, 338, 454, 274, 269, 654, 1314, 532, 454, 275, 269, 590, 1872, 2130, 454, 276, 269, 9210, 7976, 454, 277, 269, 21558, 32192, 454, 278, 269, 5082, 26299, 3974, 454, 279, 269, 5851, 3816, 12203, 454, 280, 269, 24367, 3911, 26743, 16164, 692, 3721, 476, 272, 281, 1744, 3058, 454, 1366, 19567, 4537, 3058, 568, 835, 540, 519, 1034, 1455, 2081, 547, 4894, 1850, 543, 6186, 4552, 269, 898, 2488, 2656, 2164, 855, 3340, 7928, 909, 18141, 269, 3371, 616, 930, 3268, 543, 5363, 4388, 1384, 320, 269, 2878, 27609, 566, 4995, 6969, 4358, 267, 1491, 513, 3636, 17643, 610, 8602, 547, 21352, 707, 2960, 543, 1930, 22405, 269, 1401, 9110, 5573, 1210, 513, 3138, 1993, 1695, 610, 28103, 547, 1205, 7759, 540, 4666, 2281, 543, 2061, 3824, 3497, 24827, 563, 321, 269, 2878, 299, 1430, 5455, 4995, 15233, 695, 3058, 17371, 610, 15074, 14961, 936, 707, 7953, 610, 7916, 269, 7994, 2472, 4481, 2966, 585, 6213, 2960, 952, 2877, 563, 322, 269, 2878, 20007, 1664, 4995, 2422, 8325, 986, 345, 832, 1152, 282, 20585, 19059, 2333, 8458, 540, 11912, 543, 16698, 269, 15579, 519, 986, 345, 528, 693, 513, 476, 1789, 4113, 5086, 543, 1350, 728, 9900, 2059, 707, 2960, 1739, 519, 4287, 540, 4552, 2208, 269, 3680, 2469, 1394, 936 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 3946, 540, 519, 28435, 20379, 267, 799, 3576, 1747, 538, 1249, 950, 590, 3779, 3576, 6341, 7559, 538, 476, 278, 2420, 645, 5861, 5919, 543, 1312, 1705, 741, 1655, 547, 13489, 741, 1004, 547, 1732, 1919, 563, 5278, 540, 519, 9998, 6054, 799, 649, 4865, 616, 18584, 676, 519, 1032, 538, 799, 930, 18476, 2680, 3576, 1747, 267, 607, 538, 4579, 2389, 762, 1206, 540, 519, 2085, 540, 590, 3779, 540, 3397, 1228, 476, 272, 1677, 2057, 1022, 7872, 540, 936, 560, 908, 519, 2013, 267, 621, 568, 2556, 547, 3277, 1934, 547, 519, 1249, 602, 570, 996, 332, 2670, 630, 1320, 1054, 6996, 264, 8633, 563, 763, 4266, 26520, 2390, 513, 3948, 540, 715, 629, 340, 268, 3534, 262, 573, 781, 267, 602, 590, 3779, 781, 5067, 267, 23902, 600, 4149, 514, 267, 556, 11220, 476, 17168, 271, 1296, 1354, 5128, 563, 1607, 8884, 1281, 711, 4096, 2390, 513, 6071, 1592, 540, 9210, 7716, 1296, 282, 649, 723, 538, 519, 3045, 1023, 540, 590, 3779, 543, 590, 3317, 12329, 756, 2407, 1880, 338, 540, 519, 2621, 538, 782, 519, 18060, 532, 1296, 563, 763, 6111, 609, 799, 2679, 4238, 616, 17814, 267, 543, 513, 2631, 540, 5251, 267, 616, 1390, 8441, 1256, 593, 519, 24077, 960, 540, 590, 3779, 781, 19289, 693, 918, 4243, 21171, 563, 15371, 26588, 745, 22835, 267, 2494, 880, 339, 639, 340, 543, 3816, 2313, 630, 21865, 1572, 772, 745, 2173, 2313, 264, 2731, 28263, 267, 543, 547, 930, 6708, 17191, 267, 834, 306, 3779, 257, 1775, 4318, 563, 6546, 590, 3779, 729, 610, 2968, 18678, 538, 27859, 3112, 581, 6065, 1540, 267, 2094, 972, 568, 4207, 2963, 602, 646, 22482, 2549, 584, 745, 563, 763, 1614, 8747, 540, 519, 18659, 540, 590, 3779, 630, 4537, 541, 745, 8566, 296, 268, 2793, 264, 538, 5080, 328, 4734, 721, 538, 8969, 1018, 2731, 5949, 563, 1432, 519, 834, 516, 14179, 339, 540, 782, 3338, 257, 607, 8282, 547, 519, 2663, 851, 540, 590, 3779, 781, 12081, 1797, 568, 711, 2943, 2312, 282, 855, 646, 610, 1010, 5067, 3533, 26793, 621, 563, 21914, 814, 3254, 602, 519, 2245, 267, 799, 729, 9277, 547, 1921, 590, 3779, 594, 563, 763, 15337, 1014, 1223, 798, 1100, 811, 982, 5000, 610, 1489, 519, 5204, 20379, 538, 741, 4339, 585, 5191, 1996, 590, 3779, 543, 590, 3317, 12329, 756, 563, 1103, 476, 278, 2420, 6341, 7559, 267, 1498, 896, 606, 28435, 6929, 642, 817, 531, 630, 295, 657, 9996, 519, 2063, 4622, 1070, 8678, 609, 5845, 626, 807, 538, 27693, 282, 538, 476, 24798, 621, 729, 24027, 609, 717, 18054, 543, 12456, 2444, 639, 267, 543, 519, 18094, 540, 19727, 568, 10423, 950, 590, 3779, 538, 476, 278, 1428, 1336, 621, 2556, 547, 3560, 883, 6341, 7559, 1585, 9082, 540, 519, 9390, 563, 2026, 519, 6360, 23953, 936, 16850, 543, 2095, 539, 5045, 267, 5840, 630, 21579, 7559, 264, 11124, 20494, 341, 3585, 267, 543, 519, 10616, 3361, 676, 2112, 543, 1244, 677, 566, 941, 4904, 909, 676, 519, 4367, 540, 1007, 13896, 676, 590, 3779, 267, 543, 676, 1010, 1967, 832, 538, 519, 476, 278, 628, 2540, 563, 763, 9740, 568, 10645, 676, 1010, 24288, 590, 3779, 563, 300, 843, 8942, 267, 547, 581, 2386, 267, 547, 1895, 519, 8783, 24587, 2404, 609, 519, 1034, 1271, 3909, 543, 2797, 18013, 883, 513, 2834, 20562, 515, 517, 941, 1500, 910, 16113, 538, 715, 2089, 584, 543, 2663, 538, 7984, 910, 855, 971, 8942, 26218, 519, 11972, 2298, 799, 1140, 2851, 547, 10609, 2459, 3120, 6798, 781, 1285, 15735, 3609, 547, 6318, 3057, 706, 330, 910, 519, 19121, 25976, 540, 519, 2104, 3854, 267, 20770, 910, 547, 519, 2212, 540, 519, 3003, 20770, 1014, 20562, 515, 517, 267, 607, 476, 272, 4634, 538, 519, 2013, 540, 519, 834, 306, 655, 12792, 257, 2012, 540, 519, 4583, 590, 3779, 594, 1421, 4171, 2407, 2012, 568, 3622, 1224, 26588, 745, 268, 5287, 340, 1606, 3873, 268, 8932, 267, 543, 14648, 607, 834, 1492, 16048, 4622, 540, 519, 2749, 2437, 519, 2243, 814, 5063, 1044, 6659, 2436, 649, 11129, 711, 547, 1224, 834, 319, 26588, 745, 268, 5287, 2313, 541, 268, 686, 257, 543, 4612, 607, 834, 1492, 16048, 4622, 3652, 257, 910, 606, 14745, 540, 519, 7477, 20746, 1869, 17888, 538, 713, 2352, 6389, 540, 1382, 563, 15900, 538, 519, 476, 274, 6113, 26992, 645, 5861, 269, 519, 2749, 729, 22482, 543, 13026, 676, 519, 12054, 12792, 17710, 540, 13019, 330, 611, 267, 610, 3397, 1228, 267, 543, 3875, 642, 12067, 3615, 540, 1325, 340, 268, 2313, 1513, 573, 630, 308, 5300, 2313, 610, 681, 574, 2313, 1070, 590, 3779, 543, 23902, 600, 4149, 514, 1449, 1518, 547, 519, 9006, 3130, 538, 799, 789, 849, 4371, 713, 25113, 563, 5475, 519, 1647, 540, 519, 476, 1321, 628, 2540, 5205, 1776, 1279, 1974, 540, 13354, 10714, 267, 855, 609, 519, 21037, 540, 9040, 2643, 8205, 676, 519, 28435, 6929, 590, 3779, 267, 693, 519, 2673, 540, 519, 476, 279, 628, 2540, 645, 5861, 1421, 649, 2743, 1586, 609, 2679, 1202, 18587, 267, 543, 896, 2667, 584, 1532, 8643, 1790, 531, 267, 827, 519, 1647, 540, 519, 476, 278, 628, 2540, 267, 649, 1265, 661, 10275, 584, 17468, 609, 513, 26672, 712, 3152, 982, 2479, 1354, 267, 519, 1990, 24513, 584, 520, 540, 602, 1974, 1373, 476, 5002, 10264, 563, 15371, 646, 3357, 547, 519, 17599, 1354, 610, 1310, 519, 2887, 540, 6341, 7559, 630, 278, 2420, 278, 2641, 645, 5861, 4700, 568, 31713, 10086, 6862, 568, 621, 2312, 1018, 2671, 28311, 3576, 538, 519, 28435, 6929, 7526, 1524, 547, 476, 3583, 272, 269, 273, 10374, 569, 1354, 713, 4266, 519, 2898, 540, 7262, 5607, 729, 538, 513, 7542, 618, 282, 590, 3779, 1185, 5747, 543, 590, 3317, 12329, 756, 1185, 2097, 547, 519, 17599, 630, 514, 476, 3583, 276, 5148, 642, 817, 531, 15438, 28367, 547, 9156, 741, 7115, 543, 28435, 6929, 12470, 1115, 941, 6569, 676, 741, 17837, 563, 1103, 519, 2034, 3942, 267, 28352, 540, 3020, 19730, 630, 280, 547, 476, 1470, 260, 17646, 264, 1831, 1455, 282, 13556, 20341, 540, 10889, 10036, 609, 20585, 3109, 22762, 3740, 3270, 5526, 7258, 519, 2699, 268, 2264, 282, 543, 4914, 20558, 2049, 267, 971, 607, 12266, 4544, 25322, 18968, 19273, 630, 311, 2862, 628, 29930, 7656, 628, 19092, 267, 476, 7742, 271, 268, 1220, 271, 645, 5861, 13776, 272, 543, 20425, 1306, 328, 1738, 20910, 630, 821, 540, 590, 3779, 594, 1421, 476, 1220, 271, 645, 5861, 12175, 273, 769, 519, 3791, 3942, 267, 32363, 613, 534, 21152, 5189, 519, 29901, 523, 2801, 534, 630, 17218, 631, 3626, 534, 264, 2528, 543, 6080, 282, 609, 1007, 2010, 540, 9604, 267, 8868, 13402, 20341, 267, 543, 513, 2067, 2065, 1148, 799, 6385, 3587, 6671, 282, 4154, 543, 32334, 616, 10731, 267, 543, 4837, 543, 679, 600, 1564, 616, 1634, 563, 5591, 4704, 547, 30259, 814, 1044, 1336, 538, 20770, 1014, 610, 288, 269, 1087, 344, 6929, 5638, 1354, 519, 12081, 540, 590, 3779, 4083, 563, 306, 3779, 781, 11044, 538, 5087, 16850, 267, 595, 32281, 807, 543, 5045, 3887, 770, 5607, 19724, 630, 278, 2641, 268, 278, 1556, 264, 1008, 12097, 1101, 6285, 267, 1287, 606, 2377, 29983, 543, 19169, 538, 476, 3583, 280, 267, 689, 5722, 15438, 540, 962, 520, 333, 3570, 630, 1492, 28435, 6929, 2012, 585, 30259, 5148, 543, 606, 30115, 540, 590, 3779, 5128, 267, 1336, 563, 1103, 13022, 1756, 543, 16740, 531, 1756, 267, 593, 519, 824, 1688, 267, 513, 21265, 6509, 13172, 543, 9904, 941, 538, 946, 689, 519, 942, 540, 590, 3779, 593, 1189, 25692, 306, 3779, 781, 30115, 693, 13022, 1756, 568, 524, 2317, 6134, 269, 275, 634, 2528, 543, 1148, 540, 30259, 538, 713, 3400, 324, 1723, 268, 4942, 14535, 6509, 1974, 616, 1134, 6719, 676, 3788, 689, 13022, 1756, 267, 16740, 531, 1756, 267, 23111, 817, 639, 267, 2549, 987, 639, 543, 4354, 1756, 282, 519, 4505, 11775, 616, 1655, 6719, 5180, 700, 777, 987, 639, 267, 3752, 328, 267, 623, 7469, 657, 543, 13022, 1756, 282, 519, 2663, 18774, 523, 1436, 267, 693, 2549, 987, 639, 543, 3057, 542, 5025, 3464, 3626, 324, 563, 306, 3779, 11579, 3603, 17439, 4554, 267, 8391, 538, 476, 278, 1428, 562, 322, 269, 519, 24744, 540, 3875, 2405, 1014, 4884, 17376, 514, 806, 563, 6097, 547, 519, 2272, 540, 4173, 617, 582, 639, 267, 519, 15913, 729, 6508, 689, 1546, 328, 665, 525, 267, 519, 27604, 540, 590, 3779, 267, 4171, 18939, 949, 723, 1336, 9675, 538, 519, 9390, 563, 763, 21219, 9863, 547, 581, 1346, 540, 519, 4884, 540, 20736, 4149, 9618, 745, 7219, 267, 834, 306, 3779, 781, 16836, 2437, 3710, 676, 590, 3779, 267, 4622, 540, 28435, 6319, 267, 607, 513, 10424, 15335, 563, 763, 19289, 543, 2749, 941, 6192, 538, 476, 3583, 278, 645, 5861, 1421, 543, 538, 476, 3583, 277, 590, 3779, 3576, 909, 1010, 15335, 972, 563, 2005, 729, 1101, 4294, 547, 519, 3665, 7013, 8664, 267, 4171, 3504, 3854, 729, 519, 2749, 540, 9779, 962, 752, 514, 267, 519, 8783, 10160, 540, 519, 12021, 932, 12245, 2801, 534, 31111, 8585, 617, 778, 28394, 24460, 267, 945, 3771, 21724, 519, 28435, 6929, 15438, 590, 3779, 543, 590, 3317, 12329, 756, 563, 13010, 267, 8585, 617, 778, 28394, 24460, 729, 1572, 676, 590, 3779, 4083, 563, 763, 1686, 540, 519, 2749, 540, 20770, 666, 1631, 581, 14360, 1394, 547, 519, 2395, 540, 590, 3779, 540, 3397, 1228, 630, 29592, 476, 4968, 271, 645, 5861, 4700, 945, 5526, 547, 723, 2016, 519, 2749, 922, 2012, 563, 310, 514, 1188, 2401, 949, 581, 1318, 538, 19620, 513, 4573, 23624, 8574, 538, 519, 3045, 1023, 540, 713, 4622, 865, 607, 547, 1118, 621, 1611, 602, 20770, 7640, 539, 922, 2012, 547, 590, 3779, 267, 945, 1500, 621, 519, 3854, 540, 1010, 10504, 563, 763, 1955, 326, 584, 5174, 601, 540, 590, 3779, 781, 942, 814, 1044, 4362, 676, 519, 4436, 14155, 2209, 4881, 5045, 540, 519, 1627, 553, 337, 689, 519, 661, 25045, 6233, 547, 519, 19835, 540, 1772, 6255, 541, 563, 13434, 3581, 6580, 689, 519, 12081, 540, 590, 3779, 540, 13019, 330, 611, 630, 23884, 271, 645, 5861, 4700, 17538, 602, 1256, 1287, 519, 8795, 3344, 540, 519, 6607, 1185, 1044, 1279, 896, 4274, 8343, 563, 2750, 1061, 585, 519, 705, 677, 633, 8375, 896, 590, 3779, 538, 476, 24798, 267, 649, 5873, 4986, 811, 540, 12456, 2444, 639, 585, 513, 1279, 1974, 563, 3719, 609, 519, 2669, 540, 590, 3779, 538, 476, 3583, 276, 972, 729, 1776, 1390, 856, 10767, 560, 282, 18374, 519, 2898, 540, 21157, 543, 16850, 729, 538, 7916, 267, 543, 519, 8699, 540, 590, 3317, 12329, 756, 781, 10504, 729, 12219, 563, 763, 27693, 540, 6341, 7559, 3576, 1747, 1282, 1010, 12081, 630, 5408, 7642, 19926, 476, 1428, 1070, 543, 1247, 646, 729, 14850, 773, 3101, 519, 31111, 2749, 646, 5747, 593, 519, 476, 1321, 628, 540, 1855, 321, 564, 476, 278, 2420, 645, 5861, 269, 543, 519, 13862, 729, 25868, 676, 590, 3779, 563, 2005, 568, 267, 2705, 267, 519, 642, 3188, 766, 3144, 676, 590, 3779, 2390, 12891, 323, 617, 630, 278, 1556, 264, 799, 4667, 547, 581, 12873, 538, 669, 777, 269, 1535, 343, 1421, 543, 519, 11495, 2370, 28897, 538, 1535, 3495, 563, 2691, 519, 12054, 12792, 13896, 540, 519, 2085, 540, 590, 3779, 267, 7247, 621, 568, 1631, 1455, 609, 930, 5126, 547, 1289, 13019, 330, 21808, 630, 5408, 5681, 518, 1070, 1185, 1831, 8499, 24673, 538, 519, 2551, 267, 972, 7902, 513, 1007, 19366, 3693, 267, 519, 2549, 584, 745, 267, 4171, 4434, 607, 2484, 607, 9040, 2643, 8205, 568, 547, 581, 14360, 538, 519, 30223, 1686, 540, 519, 2022, 294, 644, 6756, 1974, 267, 856, 540, 519, 10539, 540, 799, 972, 6038, 7153, 519, 10609, 2459, 3120, 6798, 15913, 563, 4322, 10617, 941, 4797, 896, 20422, 15438, 267, 11489, 519, 28435, 6929, 1379, 538, 891, 4525, 25189, 922, 1990, 523, 603, 896, 590, 3779, 630, 336, 269, 272, 13776, 945, 630, 278, 1428, 645, 5861, 4700, 3366, 883, 24815, 519, 2405, 1014, 8783, 4303, 4157, 340, 630, 5408, 667, 14976, 665, 19324, 1070, 513, 642, 817, 531, 540, 519, 3687, 14269, 630, 300, 2335, 2801, 753, 1070, 609, 782, 1010, 1920, 267, 543, 16271, 519, 2379, 806, 540, 9012, 607, 2484, 607, 519, 7823, 540, 645, 1731, 14269, 630, 14976, 10767 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 10485, 4889, 919, 267, 513, 1870, 17874, 543, 2866, 6109, 8547, 538, 609, 22071, 538, 14977, 2401, 267, 7147, 563, 2026, 513, 1870, 22639, 267, 932, 3089, 814, 31570, 609, 1082, 540, 519, 674, 28232, 3549, 543, 568, 6444, 2429, 519, 1158, 585, 1010, 960, 538, 519, 2127, 540, 7195, 2331, 24143, 11568, 267, 14520, 590, 7950, 267, 2274, 534, 269, 16514, 2835, 827, 3197, 1210, 543, 1818, 11708, 543, 12125, 269, 24143, 589, 1433, 779, 2698, 6060, 568, 1759, 593, 2789, 2188, 267, 1519, 519, 1297, 540, 1004, 945, 723, 20366, 585, 621, 543, 875, 3810, 1346, 17037, 19486, 519, 1433, 563, 20751, 513, 5276, 3113, 267, 972, 616, 2798, 8220, 519, 1239, 547, 1397, 513, 538, 947, 656, 1689, 269, 1452, 3515, 616, 11231, 538, 513, 27312, 543, 26799, 1931, 1759, 593, 519, 1239, 269, 1284, 666, 946, 513, 1899, 3113, 547, 5635, 1114, 3871, 267, 2621, 267, 543, 1344, 563, 2005, 568, 3501, 547, 1397, 519, 2883, 269, 918, 1195, 21129, 2488, 1863, 2645, 547, 948, 9520, 1382, 13632, 543, 824, 10697, 5049, 998, 21686, 15236, 543, 5750, 532, 269, 3776, 3795, 5161, 540, 1226, 885, 267, 21180, 22661, 267, 20304, 267, 2062, 343, 267, 7554, 267, 8994, 7482, 543, 2804, 1239, 563, 2690, 1226, 885, 267, 649, 1683, 3902, 1686, 267, 17950, 267, 9193, 267, 3377, 267, 543, 25135, 32718, 269, 30263, 9578, 543, 30263, 9578, 18234, 9990, 6651, 1504, 8074, 281, 901, 3391, 1504, 585, 519, 30263, 9578, 610, 30263, 9578, 18234, 9990, 609, 5665, 1062, 630, 5308, 264, 4528, 12463, 563, 2252, 707, 9498, 814, 513, 3105, 13013, 4528, 267, 707, 13819, 949, 1413, 1114, 269, 3733, 7731, 16680, 3883, 281, 634, 14168, 10158, 547, 5029, 1125, 9608, 6176, 267, 11038, 12697, 267, 543, 15937, 654, 8460, 585, 7354, 12542, 267, 5516, 326, 1392, 267, 24529, 13079, 12781, 267, 3092, 269, 1496, 305, 4923, 267, 20831, 715, 20426, 593, 2608, 293, 12767, 265, 11288, 593, 27216, 3091, 563, 7069, 7731, 16680, 3883, 281, 634, 14168, 10158, 547, 5029, 1125, 9608, 6176, 267, 11038, 12697, 267, 543, 15937, 654, 8460, 585, 7354, 12542, 18800, 338, 281, 5269, 4190, 1239, 32331, 609, 2052, 9366, 781, 3113, 20536, 269, 9521, 824, 2228, 3113, 15670, 267, 2052, 9366, 3884, 1406, 7294, 610, 942, 21791, 269, 1703, 779, 1100, 1565, 7455, 1107, 596, 3580, 1205, 513, 4190, 3113, 610, 6516, 538, 3764, 267, 7432, 6151, 1239, 883, 1945, 602, 779, 1312, 3308, 543, 2653, 547, 1174, 563, 18719, 1324, 707, 2259, 910, 3113, 1227, 269, 630, 27665, 1218, 262, 946, 540, 11708, 264, 676, 5576, 549, 25005, 267, 22956, 269, 17593, 268, 10055, 1218, 1058, 946, 11708, 547, 3927, 6655, 2883, 1344, 547, 1312, 2883, 4966, 543, 11708, 1034, 4122, 8246, 676, 2272, 1218, 1331, 8880, 3046, 11708, 267, 7299, 6241, 11708, 267, 2650, 12125, 267, 543, 1899, 11708, 563, 11328, 5562, 267, 1863, 2228, 24275, 9498, 689, 2983, 334, 10481, 3630, 281, 3113, 3252, 267, 4729, 1239, 267, 8749, 1793, 11107, 267, 543, 1454, 811, 269, 1403, 596, 2461, 1210, 9185, 972, 568, 513, 1007, 1259, 547, 14650, 2883, 6898, 269, 634, 26700, 568, 891, 12125, 616, 2653, 547, 1711, 1107, 607, 1279, 607, 596, 2461, 3222, 540, 513, 8356, 766, 1107, 855, 519, 17498, 728, 568, 602, 891, 12125, 666, 1406, 581, 3838, 609, 4896, 1210, 9185, 610, 4505, 563, 763, 11708, 1590, 1459, 519, 5013, 9425, 267, 2523, 950, 789, 616, 6829, 538, 2338, 269, 4475, 267, 609, 713, 10959, 267, 596, 786, 1205, 606, 9237, 543, 24669, 6041, 540, 519, 2883, 4605, 540, 519, 2754, 563, 4415, 519, 1114, 2650, 11708, 267, 596, 786, 3180, 519, 3007, 540, 519, 23265, 543, 9946, 585, 3833, 513, 1279, 942, 269, 634, 1344, 1657, 543, 519, 4930, 267, 1118, 13569, 267, 543, 2200, 1657, 786, 581, 1360, 5363, 563, 3719, 519, 1655, 1259, 585, 596, 543, 707, 9164, 547, 1118, 513, 1900, 1689, 6454, 538, 519, 1259, 596, 1459, 2883, 1344, 568, 547, 1305, 909, 513, 16419, 593, 21935, 13186, 269, 634, 3046, 11708, 543, 2650, 12125, 616, 1175, 1114, 2081, 540, 9306, 519, 1482, 1344, 596, 666, 849, 2070, 538, 5359, 563, 30022, 20486, 814, 3670, 2010, 540, 11708, 602, 666, 1683, 909, 547, 476, 1428, 1114, 5784, 540, 707, 1239, 269, 634, 2010, 540, 11708, 2139, 2408, 538, 519, 1739, 3349, 563, 8450, 519, 6990, 811, 5693, 267, 2087, 707, 14769, 2359, 267, 543, 1265, 9621, 1007, 3255, 5488, 982, 2479, 1354, 269, 11565, 539, 676, 5215, 540, 2228, 9520, 2066, 519, 8608, 267, 14351, 2419, 11301, 2306, 621, 2653, 547, 1711, 519, 1357, 781, 5207, 7779, 2883, 12125, 538, 1175, 513, 1906, 2241, 30390, 563, 8620, 269, 8641, 532, 568, 835, 540, 1346, 2645, 602, 596, 1175, 3112, 581, 1510, 269, 4634, 4058, 707, 10865, 6578, 666, 581, 28322, 676, 5373, 909, 513, 3113, 267, 798, 713, 585, 513, 1974, 540, 476, 277, 3275, 543, 4166, 596, 786, 581, 2111, 547, 1294, 1141, 596, 1118, 9073, 543, 1141, 596, 616, 10653, 532, 563, 28398, 1218, 786, 4324, 676, 1210, 11708, 547, 6655, 2883, 1344, 547, 741, 7218, 269, 10403, 24275, 9498, 14678, 11708, 707, 2979, 2042, 269, 4569, 3118, 269, 16731, 4569, 3118, 593, 519, 1357, 269, 8281, 1863, 593, 5616, 7591, 269, 8281, 1863, 593, 1775, 307, 17480, 269, 8281, 1863, 593, 8835, 563, 12606, 1863, 538, 8837, 15188, 269, 1205, 3619, 269, 8641, 532, 269, 9978, 4569, 269, 2776, 25575, 5040, 269, 10789, 269, 26344, 5852, 269, 2776, 20412, 639, 269, 20145, 269, 10803, 269, 5685, 924, 4569, 269, 12430, 10789, 14371, 1429, 338, 543, 741, 7077, 19509, 326, 999, 476, 276, 13536, 649, 13404, 593, 630, 13678, 921, 264, 11708, 269, 849, 1353, 9859, 11708, 610, 2007, 1429, 338, 667, 815, 630, 309, 267, 292, 1070, 1141, 519, 8728, 723, 513, 4287, 267, 602, 568, 267, 519, 8728, 616, 10288, 281, 661, 2340, 488, 484, 966, 6398, 713, 2013, 267, 579, 341, 476, 277, 284, 642, 340, 563, 763, 9859, 11708, 723, 11269, 267, 1141, 519, 8728, 616, 6537, 607, 21985, 269, 0, 300, 1173, 15756, 9986, 14746, 6215, 665, 636, 590, 720, 5013, 585, 3214, 454, 30022, 5013, 585, 3214, 454, 300, 1173, 15756, 9986, 14746, 6215, 665, 636, 590, 720, 454, 306, 720, 538, 476, 4489, 271, 454, 300, 1173, 15756, 9986, 14746, 6215, 665, 636, 454, 20826, 476, 279, 267, 476, 9264, 279, 454, 25238, 1221, 1475, 21776, 476, 275, 267, 476, 4489, 279, 454, 6124, 3840, 4975, 267, 1715, 3840, 267, 772, 2529, 563, 347, 19733, 1475, 307, 5797, 21058, 12054, 2435, 2008, 347, 15447, 333, 585, 1475, 293, 10133, 540, 21651, 590, 720, 5441, 2008, 9852, 269, 476, 5908, 280, 282, 1010, 2669, 476, 5002, 277, 994, 300, 1173, 15756, 13100, 3205, 808, 1069, 664, 454, 347, 9824, 2510, 1475, 11990, 808, 1069, 664, 630, 6588, 526, 15289, 10245, 300, 1173, 15756, 9986, 14746, 6215, 665, 636, 590, 720, 267, 1634, 607, 9986, 14746, 590, 720, 630, 20826, 476, 279, 267, 476, 9264, 279, 1107, 5437, 476, 275, 267, 476, 4489, 279, 1070, 729, 606, 1977, 24960, 626, 1634, 585, 1200, 7418, 547, 2069, 543, 11636, 3123, 269, 769, 476, 5908, 280, 1352, 2968, 519, 2034, 7385, 540, 3775, 828, 3046, 517, 21651, 590, 720, 269, 2311, 1010, 2669, 538, 476, 5002, 277, 267, 1352, 15110, 513, 19539, 6059, 693, 811, 982, 1269, 8287, 267, 1822, 267, 1822, 267, 547, 581, 1031, 693, 1200, 24787, 563, 288, 5449, 4116, 267, 590, 720, 9244, 6462, 2069, 267, 1312, 609, 1982, 543, 2679, 14828, 547, 5204, 2350, 2224, 543, 824, 9945, 269, 2701, 3964, 519, 21651, 590, 720, 7690, 538, 476, 5002, 278, 543, 8547, 21651, 590, 720, 5441, 538, 476, 4489, 277, 267, 607, 1134, 607, 1439, 12976, 3292, 585, 2021, 563, 15900, 1272, 543, 2069, 454, 300, 1173, 15756, 9986, 14746, 6215, 665, 636, 267, 1572, 9986, 14746, 267, 729, 4535, 538, 5204, 2350, 2224, 267, 1715, 3840, 267, 547, 20152, 13100, 3205, 630, 333, 19902, 808, 1069, 664, 264, 543, 9478, 6215, 665, 636, 269, 2991, 519, 7754, 545, 540, 476, 8146, 278, 543, 519, 7771, 540, 12324, 6808, 1739, 4070, 540, 16456, 338, 2066, 519, 1533, 267, 1200, 4651, 781, 4213, 543, 16292, 17346, 3459, 547, 3111, 269, 6736, 1200, 4651, 781, 2883, 9620, 267, 9986, 14746, 729, 13473, 538, 4357, 3506, 543, 21783, 538, 476, 7277, 278, 689, 519, 31684, 21058, 12054, 2435, 630, 331, 831, 1572, 519, 21877, 4024, 731, 3427, 267, 513, 4549, 2218, 1153, 1916, 30469, 14746, 6215, 665, 636, 6462, 9887, 676, 3450, 585, 476, 736, 1296, 538, 5204, 2350, 2224, 267, 1715, 3840, 267, 1141, 1352, 5030, 609, 1200, 3237, 267, 543, 538, 15740, 269, 4173, 4651, 4797, 547, 6560, 543, 538, 476, 6977, 278, 267, 3170, 958, 2192, 609, 21061, 267, 4421, 741, 1920, 1753, 538, 5204, 2350, 2224, 269, 9986, 14746, 543, 1200, 3993, 1185, 547, 1847, 538, 609, 14077, 563, 11321, 5846, 543, 1920, 454, 1103, 476, 5908, 280, 693, 2085, 476, 6078, 267, 9986, 14746, 6215, 665, 636, 9310, 21651, 590, 720, 267, 513, 11097, 1077, 267, 1710, 534, 857, 518, 543, 3775, 828, 3046, 517, 945, 729, 476, 1321, 1296, 4587, 982, 1352, 269, 1358, 1185, 1100, 1453, 269, 2701, 2968, 3238, 538, 2238, 3989, 676, 1200, 1909, 607, 1010, 7385, 563, 1103, 476, 5002, 277, 267, 590, 720, 5747, 543, 2451, 1010, 3003, 19539, 540, 827, 1269, 3583, 2929, 547, 9986, 14746, 267, 1510, 9013, 875, 1352, 1131, 946, 621, 563, 15463, 6138, 729, 20206, 4327, 538, 1200, 2376, 267, 834, 302, 653, 1953, 885, 543, 13786, 4850, 540, 2274, 529, 3293, 6468, 2580, 1519, 834, 3559, 4771, 519, 25031, 676, 3246, 873, 609, 513, 1434, 1604, 267, 4316, 585, 1582, 23418, 677, 543, 1367, 5539, 267, 543, 4027, 689, 519, 796, 2675, 14442, 592, 748, 1701, 11427, 269, 590, 720, 24603, 9139, 6816, 547, 519, 5313, 2229, 607, 606, 1840, 547, 4639, 8672, 563, 1103, 476, 5002, 276, 267, 9986, 14746, 590, 720, 5143, 5204, 2350, 2224, 2160, 602, 1352, 1131, 6718, 962, 919, 16836, 543, 922, 4478, 3959, 547, 2777, 513, 3610, 262, 2852, 269, 901, 4830, 1788, 7152, 1200, 13613, 547, 5204, 2350, 2224, 267, 1200, 8446, 607, 513, 4116, 267, 543, 1200, 7029, 547, 2021, 781, 2069, 269, 769, 476, 5002, 280, 267, 1352, 24603, 1269, 2004, 267, 1822, 547, 5204, 2350, 2224, 593, 1200, 14512, 563, 306, 720, 2968, 513, 19121, 540, 661, 269, 700, 27482, 25595, 630, 1492, 1101, 4807, 538, 519, 1158, 547, 1374, 27858, 264, 1310, 7487, 25595, 781, 1101, 20987, 1374, 693, 606, 14266, 693, 23885, 12384, 25052, 538, 476, 5002, 277, 563, 305, 639, 8688, 590, 720, 7690, 454, 15463, 6574, 2582, 10516, 729, 1269, 1015, 267, 1822, 267, 1822, 538, 476, 5002, 278, 547, 3715, 543, 1439, 578, 519, 21651, 590, 720, 7690, 269, 898, 862, 3827, 2090, 540, 1514, 2152, 543, 15565, 3435, 563, 1103, 476, 5002, 279, 6215, 665, 636, 590, 720, 24603, 1269, 20981, 267, 1822, 547, 23171, 2160, 267, 7175, 519, 6718, 540, 519, 10830, 5264, 3959, 585, 1018, 729, 2919, 607, 519, 6280, 781, 3163, 10830, 269, 769, 476, 5002, 280, 267, 590, 720, 24603, 15579, 518, 8065, 547, 23134, 2160, 267, 3957, 1310, 1200, 2372, 6033, 22660, 18332, 15579, 518, 269, 1261, 1185, 1044, 30201, 3176, 538, 7810, 12590, 585, 1010, 4984, 563, 10521, 1296, 2663, 267, 590, 720, 5795, 1269, 4968, 267, 1822, 547, 26658, 2160, 585, 519, 4070, 540, 513, 2021, 781, 18959, 7480, 267, 20322, 2917, 8065, 267, 3957, 1310, 1200, 3993, 2987, 25237, 269, 4173, 13319, 540, 2021, 781, 2069, 849, 3769, 7616, 519, 4070, 540, 519, 9986, 14746, 21280, 572, 14979, 5600, 538, 476, 4489, 273, 267, 3957, 585, 1200, 20516, 267, 693, 966, 817, 541, 5441, 267, 513, 2021, 781, 2852, 563, 305, 639, 8688, 590, 720, 5441, 454, 1103, 476, 4489, 277, 267, 590, 720, 8547, 21651, 590, 720, 5441, 538, 31684, 267, 1715, 3840, 607, 513, 3102, 2852, 585, 2021, 269, 634, 2852, 568, 4092, 1369, 1018, 814, 2094, 1044, 11280, 607, 519, 8978, 8664, 540, 31684, 267, 606, 1858, 602, 568, 7396, 593, 519, 2817, 19193, 540, 19866, 23089, 269, 681, 17092, 3091, 12666, 6575, 543, 3318, 4110, 3292, 547, 7668, 1053, 547, 1831, 2021, 540, 3310, 538, 741, 11678, 543, 741, 2950, 563, 303, 328, 3205, 5664, 6953, 662, 3427, 454, 19226, 3496, 547 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 4357, 9494, 3379, 547, 519, 1463, 1840, 547, 14407, 1587, 256, 645, 6563, 532, 4249, 606, 1271, 1909, 538, 2229, 1412, 338, 6578, 17211, 14340, 950, 519, 2229, 568, 2693, 1862, 13891, 30004, 8952, 12123, 267, 543, 7554, 269, 602, 1412, 338, 1946, 772, 2529, 269, 9777, 2209, 1705, 562, 1405, 723, 547, 10210, 689, 519, 4357, 23511, 27308, 4063, 11729, 267, 1256, 607, 519, 7963, 585, 513, 1279, 942, 3395, 269, 21344, 519, 6578, 476, 1001, 280, 543, 1857, 9806, 4679, 950, 2229, 22939, 811, 982, 621, 11392, 689, 9204, 10770, 1862, 4107, 5491, 832, 1589, 602, 519, 2229, 18664, 4900, 676, 9513, 7221, 971, 607, 3959, 1101, 267, 519, 5491, 832, 2362, 1862, 4934, 933, 662, 338, 519, 3747, 23060, 547, 2628, 585, 519, 10617, 538, 12925, 543, 15787, 269, 5491, 832, 1589, 602, 519, 2229, 24228, 1862, 1975, 754, 607, 1454, 607, 2009, 17211, 538, 1079, 2081, 547, 2569, 922, 6578, 17211, 519, 15558, 1154, 540, 269, 4024, 2693, 6529, 547, 7059, 23348, 610, 1507, 22907, 543, 8804, 9541, 5097, 609, 5665, 21045, 729, 7836, 256, 13201, 1044, 3384, 543, 10115, 538, 1648, 3785, 9001, 6932, 4066, 1519, 7791, 1648, 630, 267, 256, 6875, 593, 1007, 7963, 547, 23231, 519, 7963, 786, 2333, 519, 17211, 538, 1079, 2081, 2569, 256, 12181, 4400, 25286, 1752, 20607, 630, 610, 22938, 20607, 15426, 891, 616, 1572, 22938, 7554, 1421, 6608, 786, 1447, 269, 14986, 1586, 538, 476, 1001, 271, 607, 513, 12343, 540, 519, 20789, 29773, 7963, 6433, 269, 607, 519, 7963, 585, 513, 1279, 907, 14068, 267, 15234, 8525, 476, 273, 1412, 338, 4123, 17211, 568, 1710, 2331, 676, 7963, 267, 568, 269, 14451, 1981, 3478, 513, 6318, 267, 4466, 513, 1732, 2816, 267, 610, 10519, 856, 10040, 1862, 5516, 827, 519, 1857, 7963, 269, 540, 4357, 9494, 3379, 547, 519, 20789, 849, 6336, 8907, 12424, 687, 1862, 10815, 982, 835, 3562, 14633, 14340, 607, 513, 15944, 9304, 269, 8387, 1832, 9621, 23466, 811, 28011, 1488, 2478, 607, 513, 1267, 267, 1034, 27504, 2799, 519, 6578, 585, 513, 1279, 942, 1205, 2208, 1394, 3950, 256, 1280, 2477, 547, 5066, 936, 7963, 269, 2197, 949, 9949, 593, 922, 7963, 269, 4881, 6578, 22907, 5491, 832, 3747, 1719, 269, 9324, 558, 3990, 538, 602, 2197, 1412, 338, 4123, 17211, 568, 513, 10927, 1153, 32082, 543, 814, 1044, 543, 256, 3619, 10002, 4660, 267, 741, 5491, 6060, 726, 17026, 1115, 616, 2870, 6009, 543, 3395, 519, 4346, 2724, 256, 6554, 666, 1832, 4946, 1142, 1032, 1412, 338, 17211, 547, 519, 20789, 540, 602, 2197, 9304, 1862, 16010, 741, 22907, 3079, 540, 13326, 519, 6578, 476, 1001, 280, 8375, 27308, 4063, 11729, 267, 1256, 607, 12014, 1862, 13044, 268, 866, 593, 2229, 7963, 267, 713, 568, 4867, 11278, 4968, 5479, 950, 602, 4523, 267, 519, 13362, 9782, 1586, 538, 607, 256, 6270, 607, 3959, 2229, 1185, 6578, 1147, 680, 4926, 267, 4352, 2043, 267, 3549, 267, 543, 1152, 9878, 519, 5934, 8569, 7963, 1862, 769, 2229, 1412, 338, 6578, 18083, 922, 17211, 609, 27308, 12014, 267, 4967, 267, 543, 1152, 9878, 519, 8569, 1862, 589, 6318, 267, 4466, 513, 1732, 2104, 519, 2197, 1412, 338, 9304, 269, 1909, 538, 2229, 1412, 338, 6578, 17211, 24228, 2810, 269, 4658, 2724, 547, 6108, 267, 799, 2417, 25242, 2208, 568, 3238, 538, 3384, 1648, 3785, 9001, 6932, 1519, 256, 0, 16274, 676, 8176, 25303, 267, 1362, 540, 476, 6642, 280, 267, 891, 1614, 5449, 12370, 15032, 3964, 519, 26790, 10163, 9689, 13477, 593, 2904, 476, 4029, 267, 476, 6245, 275, 538, 8065, 779, 11785, 1876, 5604, 269, 634, 2832, 540, 519, 3919, 729, 968, 1410, 2424, 540, 2609, 24379, 892, 689, 519, 2197, 563, 1432, 729, 519, 1292, 3804, 540, 519, 26790, 10163, 9689, 13477, 888, 763, 3804, 540, 713, 3915, 267, 1572, 968, 2304, 2920, 547, 10038, 519, 11776, 540, 30659, 547, 267, 543, 519, 15335, 538, 267, 519, 2136, 2276, 2223, 729, 547, 2569, 607, 1454, 607, 2009, 519, 1297, 540, 11082, 689, 8828, 543, 8109, 2342, 1247, 2810, 519, 1297, 540, 11082, 689, 8832, 543, 5375, 2342, 945, 519, 13477, 2219, 941, 6693, 1432, 1705, 519, 11776, 10163, 9689, 798, 888, 763, 26790, 2920, 540, 476, 4572, 275, 3908, 519, 1297, 540, 11082, 4847, 7127, 883, 519, 2136, 2276, 998, 513, 3084, 8129, 844, 7974, 269, 634, 844, 7974, 3177, 11776, 1471, 553, 547, 1079, 2600, 540, 519, 2698, 1297, 540, 1004, 540, 1142, 22874, 538, 519, 2136, 2276, 607, 540, 519, 476, 6245, 271, 3084, 14829, 563, 1432, 1705, 519, 26790, 10163, 9689, 13477, 1616, 28866, 888, 763, 26790, 10163, 9689, 13477, 4941, 547, 20818, 513, 7924, 1449, 593, 782, 11082, 267, 799, 6837, 5293, 563, 1692, 1705, 519, 26790, 10163, 9689, 13477, 15974, 547, 3970, 11776, 888, 1692, 1705, 519, 26790, 10163, 9689, 13477, 15974, 547, 3970, 11776, 286, 2560, 898, 1577, 11082, 685, 1920, 2818, 6294, 3433, 267, 855, 711, 31356, 563, 1432, 729, 519, 3483, 540, 519, 26790, 10163, 9689, 2920, 538, 5245, 888, 10666, 519, 6519, 5245, 3609, 454, 763, 26790, 10163, 9689, 2920, 729, 835, 540, 519, 1101, 20448, 4031, 5293, 1310, 18966, 269, 898, 729, 1759, 593, 519, 4540, 4031, 540, 519, 10125, 269, 634, 2832, 540, 519, 1876, 729, 547, 3970, 1875, 22554, 630, 31860, 7489, 264, 11776, 547, 5245, 267, 547, 948, 1832, 5245, 2048, 23873, 17483, 1432, 729, 519, 26790, 10163, 9689, 13477, 543, 1018, 2242, 547, 2797, 7589, 1705, 621, 12167, 28866, 888, 1432, 729, 519, 26790, 10163, 9689, 13477, 543, 1018, 2242, 547, 2797, 7589, 1705, 621, 12167, 286, 12878, 2082, 538, 476, 6245, 275, 676, 11785, 4648, 269, 1358, 1500, 513, 8325, 11984, 1063, 2025, 543, 1007, 11082, 269, 2349, 5446, 4683, 6760, 543, 6710, 547, 2527, 13864, 593, 519, 1007, 11082, 563, 1432, 729, 519, 1198, 540, 519, 26790, 10163, 9689, 2920, 888, 1103, 476, 5002, 272, 519, 26790, 10163, 9689, 2920, 3927, 8694, 782, 1875, 26049, 11776, 676, 3246, 585, 13675, 18362, 538, 3864, 4654, 563, 1432, 729, 519, 26790, 10163, 9689, 2920, 543, 950, 729, 621, 5189, 888, 2304, 2920, 547, 1747, 1978, 9993, 593, 26790, 543, 547, 1683, 585, 519, 8851, 689, 519, 20448, 540, 19275, 8056, 580, 7847, 269, 1496, 10112, 5034, 547, 476, 2537, 6113, 5412, 267, 476, 5002, 272, 24358, 3412, 332, 12568, 10163, 9689, 2920, 476, 5002, 272, 563, 347, 14630, 540, 2667, 550, 1475, 2537, 5463, 476, 5002, 272, 2008, 347, 3725, 701, 4705, 676, 1475, 300, 12568, 2920, 476, 4198, 279, 2008, 1432, 729, 519, 3804, 540, 2817, 17959, 2920, 476, 4572, 275, 888, 763, 3804, 540, 519, 2817, 17959, 2920, 729, 547, 1852, 1312, 519, 7274, 543, 2298, 540, 772, 2529, 269, 11082, 538, 606, 4674, 547, 2061, 2417, 11761, 540, 519, 6803, 9152, 328, 268, 512, 542, 540, 772, 2529, 269, 2486, 563, 1432, 941, 930, 540, 519, 4128, 1946, 3864, 11082, 941, 4947, 547, 2661, 538, 1715, 3840, 4975, 28866, 888, 1432, 941, 930, 540, 519, 4128, 1946, 3864, 11082, 941, 4947, 547, 2661, 538, 1715, 3840, 4975, 286, 3509, 3864, 11082, 8452, 538, 519, 2136, 2276, 543, 12306, 538, 1715, 3840, 4975, 269, 4107, 11082, 941, 4057, 543, 1223, 1152, 6488, 547, 2661, 538, 519, 22125, 512, 2940, 906, 538, 1715, 3840, 4975, 563, 8005, 729, 513, 13653, 540, 519, 26790, 10163, 9689, 13477, 28866, 888, 296, 268, 634, 26790, 10163, 9689, 13477, 267, 729, 8547, 538, 476, 6245, 275, 676, 15818, 8176, 25303, 267, 6172, 520, 6048, 7917, 1546, 290, 712, 1097, 24156, 267, 543, 18607, 3465, 22574, 674, 563, 3963, 1705, 3864, 11082, 2097, 547, 519, 2136, 2276, 888, 293, 548, 4370, 7693, 5821, 267, 2244, 543, 2816, 22520, 267, 8375, 9204, 267, 543, 26380, 267, 1082, 3357, 547, 519, 772, 269, 590, 269, 1317, 621, 729, 9228, 607, 519, 2244, 540, 2804, 4316, 269, 2560, 2060, 519, 12614, 540, 2182, 2804, 2053, 538, 519, 476, 6942, 271, 338, 267, 3864, 11082, 543, 4892, 3459, 547, 14526, 585, 519, 6009, 12926, 11603, 585, 519, 4457, 563, 1692, 1279, 1705, 519, 26790, 10163, 9689, 13477, 2063, 888, 763, 13477, 7283, 3742, 585, 5176, 8938, 1296, 267, 855, 1310, 519, 2669, 540, 8065, 741, 1648, 530, 534, 539, 267, 543, 519, 13477, 5555, 771, 7171, 539, 269, 3465, 22574, 674, 563, 2691, 729, 519, 26790, 10163, 9689, 13477, 1500, 888, 763, 26790, 10163, 9689, 13477, 630, 7644, 299, 264, 729, 606, 3919, 2813, 538, 476, 6245, 275, 676, 12370, 20021, 8176, 25303, 267, 7917, 1546, 290, 712, 1097, 24156, 267, 543, 3465, 22574, 10787, 985, 10290, 8065, 630, 19604, 10542, 2160, 7732, 7046, 26888, 5358, 267, 562, 6155, 28593, 1432, 729, 519, 4102, 30070, 3815, 585, 11082, 4947, 547, 519, 2136, 2276, 888, 2467, 941, 4440, 607, 1082, 4128, 585, 4947, 547, 3013, 607, 972, 941, 1004, 945, 3357, 2560, 8616, 621, 666, 581, 1767, 602, 1614, 1804, 4229, 1107, 3909, 20655, 267, 2797, 15746, 543, 2804, 27465, 1107, 3177, 519, 8783, 24500, 585, 519, 2527, 4955, 5928, 547, 938, 24528, 269, 0, 20791, 1101, 3923, 454, 298, 9655, 690, 1846, 340, 568, 606, 2680, 593, 519, 476, 1428, 628, 1554, 540, 519, 1007, 1032, 269, 2107, 267, 476, 274, 2395, 689, 476, 1691, 628, 547, 476, 1626, 628, 267, 610, 689, 23863, 593, 476, 1691, 628, 547, 23863, 593, 476, 1428, 628, 267, 610, 593, 519, 1554, 540, 4126, 630, 21459, 7599, 1070, 610, 476, 1428, 2395, 689, 1715, 5729, 781, 4303, 547, 476, 1428, 628, 269, 18679, 23192, 519, 16264, 11706, 267, 621, 949, 581, 4371, 593, 5130, 476, 1428, 628, 540, 519, 1007, 11706, 1310, 519, 2725, 25702, 11706, 6963, 267, 610, 593, 28527, 6361, 5025, 613, 4303, 630, 1492, 2034, 11728, 540, 5130, 264, 689, 476, 1220, 271, 563, 6124, 5729, 781, 4303, 630, 528, 689, 1715, 5729, 781, 4303, 547, 5130, 476, 278, 628, 264, 568, 1572, 19248, 880, 334, 267, 6466, 621, 568, 1572, 713, 1259, 269, 898, 568, 849, 17479, 607, 519, 1439, 540, 519, 1715, 5729, 630, 32173, 958, 2394, 519, 1439, 540, 519, 3923, 1040, 19974, 267, 5822, 1715, 5729, 267, 8479, 4658, 267, 21058, 1715, 5729, 267, 27003, 1715, 5729, 269, 1703, 616, 849, 4525, 1572, 17776, 1715, 5729, 543, 17776, 1715, 5729, 563, 2005, 568, 5156, 547, 581, 513, 20276, 656, 540, 519, 1249, 602, 519, 1554, 540, 4126, 729, 519, 4098, 540, 519, 3923, 1354, 519, 4367, 540, 519, 4457, 561, 684, 529, 6897, 11706, 563, 6097, 547, 834, 298, 690, 340, 11445, 590, 2967, 329, 5942, 2580, 799, 568, 519, 590, 2967, 329, 5942, 540, 519, 14520, 667, 2106, 770, 625, 267, 834, 4002, 519, 476, 1428, 628, 1554, 540, 519, 1715, 5729, 267, 1118, 21167, 521, 731, 1149, 267, 1039, 3282, 593, 1283, 540, 621, 267, 543, 1671, 327, 9068, 519, 7450, 269, 2334, 10543, 267, 519, 13711, 3993, 2987, 25237, 729, 20888, 269, 4475, 267, 649, 786, 25837, 519, 2104, 16536, 11988, 15273, 9440, 543, 693, 519, 1482, 942, 2062, 5408, 519, 1857, 12602, 269, 27029, 1103, 519, 2025, 523, 2395, 267, 1018, 729, 538, 519, 12566, 3529, 2394, 713, 1507, 1715, 5729, 630, 6518, 21243, 519, 918, 611, 558, 1846, 340, 2394, 713, 1554, 264, 729, 1767, 547, 581, 2394, 519, 19248, 880, 334, 1715, 5729, 593, 5130, 476, 278, 676, 519, 1931, 540, 519, 15480, 1872, 11867, 1744, 690, 684, 622, 538, 519, 3798, 334, 1974, 267, 855, 621, 814, 3262, 3544, 519, 23006, 334, 3148, 269, 594, 4769, 1405, 1205, 621, 563, 2005, 568, 22232, 547, 3548, 2699, 21167, 11188, 16466, 713, 6640, 267, 543, 621, 568, 849, 1572, 834, 288, 330, 1846, 25431, 11188, 16466, 257, 1317, 621, 568, 13881, 2038, 538, 519, 6640, 267, 543, 834, 4462, 14765, 11188, 16466, 257, 610, 834, 306, 752, 3120, 11188, 16466, 257, 1317, 540, 519, 2681, 540, 519, 2699, 10365, 269, 769, 3504, 2053, 267, 834, 307, 6242, 21208, 7288, 257, 543, 834, 15031, 329, 4157, 257, 849, 2446, 602, 789, 17696, 1273, 329, 4157, 1282, 519, 3689, 9509, 9855, 16635, 269, 4634, 1631, 267, 972, 616, 930, 2127, 538, 519, 6917, 2127, 540, 519, 1677, 327, 18602, 3148, 1141, 519, 2688, 540, 4189, 2699, 21167, 11188, 16466, 3788, 538, 4395, 540, 32371, 747, 334, 269, 769, 891, 2127, 267, 621, 568, 1419, 15333, 785, 5344, 547, 3548, 740, 345, 25431, 10365, 630, 528, 782, 2699, 23469, 3536, 267, 1519, 5779, 264, 689, 1715, 5729, 781, 4303 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 24135, 4826, 10866, 538, 24543, 454, 2171, 2461, 7487, 1808, 2152, 609, 7148, 1216, 2298, 538, 24543, 267, 607, 5216, 856, 540, 476, 2190, 17694, 9765, 2635, 7182, 269, 634, 17694, 1331, 26537, 1756, 268, 277, 267, 21668, 5308, 18025, 23859, 288, 267, 1488, 11420, 545, 267, 670, 14900, 659, 2045, 7408, 267, 543, 7101, 1756, 563, 11039, 1216, 538, 24543, 949, 849, 723, 513, 5835, 512, 16636, 543, 4232, 1084, 4212, 17627, 1813, 547, 16247, 543, 512, 2335, 1231, 563, 300, 22585, 779, 7148, 1216, 568, 1869, 2808, 2922, 547, 4235, 267, 855, 621, 779, 1271, 547, 581, 3222, 540, 519, 1761, 4220, 269, 1284, 991, 547, 3251, 21713, 543, 3136, 547, 6895, 519, 3510, 547, 2327, 938, 3885, 543, 2950, 3251, 2922, 563, 1607, 568, 2523, 3020, 607, 649, 5912, 547, 7234, 519, 1808, 2152, 609, 7148, 1216, 2298, 538, 26054, 16047, 563, 11854, 6900, 12983, 2060, 24135, 4826, 10866, 538, 26054, 16047, 454, 5978, 1699, 4901, 6212, 593, 519, 1808, 2152, 609, 7148, 1216, 2298, 538, 26054, 16047, 267, 1141, 2947, 856, 540, 476, 2190, 17694, 9765, 661, 310, 294, 4808, 269, 26054, 16047, 6019, 4826, 16958, 2488, 1216, 585, 5176, 476, 7785, 267, 1822, 7264, 563, 2419, 668, 1756, 268, 277, 267, 25914, 622, 267, 670, 14900, 659, 2045, 7408, 267, 11192, 2468, 15595, 558, 996, 6951, 267, 543, 7101, 1756, 616, 1851, 519, 17694, 269, 1452, 666, 2014, 1585, 1072, 8374, 563, 26773, 1216, 609, 1164, 7777, 1543, 666, 6492, 17285, 610, 15280, 269, 898, 666, 849, 2014, 561, 1307, 7051, 19221, 538, 21818, 1949, 563, 19894, 5464, 543, 4152, 948, 2226, 2922, 6704, 1216, 585, 519, 1857, 269, 1284, 1058, 581, 3222, 540, 1761, 12526, 543, 1491, 5539, 585, 2973, 6704, 1216, 563, 28444, 1005, 15822, 25530, 4826, 543, 9608, 26930, 454, 2026, 513, 2146, 267, 649, 1590, 11441, 547, 2327, 2922, 6704, 1216, 543, 1491, 2123, 5539, 585, 922, 11091, 563, 2171, 666, 798, 713, 676, 912, 272, 264, 16424, 543, 4152, 1857, 1216, 1949, 5781, 563, 273, 264, 17553, 4441, 585, 2922, 6704, 1216, 563, 274, 264, 17291, 1761, 2152, 609, 1216, 2298, 563, 2710, 532, 891, 1919, 666, 948, 2226, 2922, 6704, 1216, 585, 782, 563, 2171, 1590, 849, 581, 3222, 540, 6923, 9648, 17694, 543, 1491, 15416, 547, 2569, 4598, 1141, 2009, 563, 2005, 779, 1271, 547, 581, 5483, 543, 1491, 14942, 3268, 547, 2149, 938, 1216, 543, 938, 1072, 563, 4415, 1702, 543, 2962, 267, 649, 666, 2327, 2922, 6704, 1216, 585, 938, 2950, 563, 32552, 540, 8419, 24135, 4826, 454, 2171, 4076, 1044, 3181, 908, 519, 3106, 540, 8419, 779, 7148, 1216, 267, 543, 621, 779, 1271, 547, 1174, 519, 2959, 267, 1761, 17694, 267, 543, 1808, 2152, 609, 1216, 2298, 538, 519, 1533, 563, 307, 777, 1216, 538, 8419, 568, 21433, 689, 15780, 6864, 28875, 267, 543, 568, 5701, 547, 4894, 17694, 269, 11192, 2468, 15595, 558, 996, 6951, 630, 307, 8025, 16039, 1070, 10300, 334, 659, 2045, 7408, 630, 295, 8150, 276, 1070, 15279, 10052, 550, 26388, 267, 2234, 1756, 267, 543, 28227, 616, 782, 1336, 538, 519, 1533, 779, 7148, 1216, 563, 300, 22585, 5937, 1228, 4826, 16958, 5713, 936, 476, 273, 269, 274, 2929, 1004, 543, 814, 5216, 17694, 23630, 2635, 7182, 267, 1247, 26054, 16047, 6019, 4826, 16958, 5713, 5176, 476, 7785, 267, 1822, 1004, 543, 814, 2947, 17694, 23630, 661, 310, 294, 4808, 563, 2171, 782, 723, 513, 5539, 547, 2327, 2922, 6704, 1216, 267, 543, 2229, 8041, 5781, 6895, 543, 1449, 1857, 1216, 1949, 547, 10018, 4441, 616, 1558, 269, 2755, 7148, 1216, 538, 8419, 568, 3622, 2922, 267, 649, 1590, 2611, 21713, 543, 11441, 585, 31934, 6454, 563, 13126, 543, 9615, 540, 8419, 24135, 4826, 454, 294, 1430, 532, 938, 2200, 689, 8419, 779, 11895, 6864, 28875, 267, 649, 2461, 8156, 519, 1216, 547, 4894, 17694, 543, 2327, 2922, 6704, 1216, 585, 782, 269, 3245, 6094, 3037, 6106, 543, 1164, 1216, 7515, 547, 4028, 2551, 2208, 543, 5230, 11811, 267, 938, 3646, 547, 2844, 513, 7347, 1216, 3761, 616, 13934, 269, 3371, 779, 875, 649, 2461, 7863, 938, 1216, 912, 268, 13281, 585, 17694, 543, 5781, 5464, 1216, 1949, 454, 268, 12305, 532, 19288, 1949, 547, 4894, 2168, 23606, 454, 268, 3447, 908, 7264, 827, 519, 2956, 540, 25137, 1216, 454, 2171, 1174, 602, 1569, 547, 2922, 6704, 1216, 568, 513, 2596, 1480, 1318, 543, 616, 8149, 547, 12419, 1216, 602, 10742, 519, 5207, 4441, 269, 3776, 3804, 568, 547, 1683, 2922, 267, 1164, 7779, 6704, 1216, 547, 782, 269, 1284, 2461, 6131, 547, 7863, 519, 1604, 543, 8497, 938, 10475, 1216, 2200, 585, 2104, 5481, 563, 763, 8827, 2433, 634, 5682, 1656, 26192, 454, 2691, 7234, 519, 7148, 1216, 2298, 538, 8419, 267, 621, 779, 7543, 547, 26777, 519, 7418, 540, 634, 5682, 1656, 26192, 269, 1280, 936, 476, 2420, 1296, 267, 789, 723, 1044, 6131, 547, 4180, 602, 7579, 573, 2103, 723, 1569, 547, 519, 1655, 1216, 2298, 2009, 269, 3414, 741, 3102, 1216, 19288, 543, 21352, 532, 3435, 267, 634, 5682, 1656, 26192, 9607, 519, 3309, 2591, 15054, 676, 8419, 779, 7148, 1216, 563, 5804, 19713, 519, 1379, 540, 9357, 5385, 547, 2709, 1283, 2389, 1512, 1216, 21352, 532, 3435, 547, 3246, 513, 3099, 540, 19288, 1949, 3358, 585, 8419, 779, 2189, 1216, 9043, 267, 789, 723, 11179, 1044, 693, 519, 21282, 540, 17420, 519, 1072, 543, 1134, 5630, 540, 7264, 2066, 519, 1533, 269, 4256, 5131, 769, 6953, 727, 4826, 4530, 2417, 11363, 741, 7029, 267, 5356, 7579, 573, 2103, 513, 2312, 5813, 883, 741, 7148, 1216, 779, 2298, 269, 1924, 267, 607, 649, 5490, 2620, 883, 519, 14960, 540, 8419, 779, 7148, 1216, 267, 621, 779, 1898, 547, 5431, 519, 26106, 342, 11301, 899, 634, 5682, 1656, 26192, 945, 1404, 513, 11358, 1909, 538, 4180, 602, 1169, 6749, 649, 8532, 568, 607, 6986, 607, 621, 1058, 581, 563, 21761, 18542, 5999, 454, 1432, 3657, 519, 7043, 31645, 2657, 12186, 540, 25530, 2552, 3133, 730, 24135, 4826, 888, 16524, 3856, 4598, 547, 13572, 7148, 1216, 666, 2014, 3978, 1072, 4220, 267, 1519, 2860, 267, 10285, 2152, 267, 543, 14715, 23043, 269, 898, 779, 1271, 547, 581, 3222, 540, 1761, 17694, 543, 723, 707, 1216, 7318, 547, 2327, 621, 779, 2922, 547, 4235, 563, 3674, 24135, 4826, 538, 8419, 15822, 585, 29283, 888, 8133, 267, 7148, 1216, 538, 8419, 568, 2922, 547, 4235, 1107, 855, 1152, 952, 596, 2461, 8348, 547, 1491, 5539, 585, 1620, 519, 4220, 269, 1635, 9363, 5483, 543, 2921, 23833, 3800, 267, 649, 666, 2972, 519, 5191, 540, 2922, 6704, 1216, 563, 1432, 21474, 2052, 594, 6875, 547, 3550, 519, 8881, 540, 3733, 25530, 4826, 888, 2171, 666, 2327, 519, 3106, 540, 938, 6704, 1216, 676, 5781, 5464, 543, 4152, 621, 585, 17694, 269, 853, 11691, 5483, 543, 2921, 15324, 3800, 666, 948, 721, 2057, 1761, 4220, 269, 7743, 3653, 12871, 543, 9319, 14107, 666, 948, 1832, 938, 6704, 1216, 2922, 563, 6701, 1703, 7102, 22769, 538, 9255, 547, 13363, 18830, 16140, 4248, 2552, 8727, 888, 8133, 267, 519, 16501, 814, 6042, 538, 1747, 547, 2149, 1996, 15780, 12526, 269, 1280, 1383, 267, 519, 5021, 8764, 656, 1377, 585, 570, 8025, 16039, 568, 476, 3199, 6032, 321, 267, 1247, 519, 661, 310, 294, 15565, 476, 271, 269, 1428, 6032, 321, 269, 3683, 476, 736, 2929, 8419, 7264, 723, 28041, 2362, 31032, 3146, 5570, 2105, 9830, 540, 17694, 563, 1432, 2052, 594, 1684, 547, 21079, 3733, 22452, 547, 2552, 3133, 1218, 538, 24135, 4826, 888, 2171, 666, 2569, 938, 4598, 547, 17694, 538, 7148, 1216, 676, 1210, 1216, 12086, 267, 9319, 4357, 19401, 267, 543, 1373, 3222, 540, 2199, 1216, 2298, 5359, 269, 30799, 538, 513, 1216, 19288, 1062, 666, 948, 4894, 17694, 689, 938, 7148, 1216, 269, 3958, 267, 9319, 4357, 19401, 543, 1373, 3222, 540, 2199, 1216, 2298, 5359, 666, 948, 2327, 602, 938, 6704, 1216, 568, 2922, 563, 2171, 4076, 8268, 519, 2959, 543, 12526, 540, 8419, 779, 7148, 1216, 267, 519, 1808, 17694, 1459, 267, 543, 2152, 609, 7148, 1216, 2298, 538, 24543, 543, 26054, 16047, 563, 2171, 4076, 5941, 519, 3800, 3144, 547, 2327, 2922, 6704, 1216, 543, 2123, 5539, 563, 3719, 519, 10700, 2243, 3788, 281, 568, 8419, 779, 7148, 1216, 2922, 547, 4235, 888, 763, 2626, 3884, 1406, 865, 2241, 267, 855, 609, 519, 1318, 15416, 267, 596, 666, 581, 2386, 602, 596, 2461, 6704, 2922, 543, 2973, 1216, 563, 3383, 1018, 2461, 596, 7996, 585, 888, 12648, 5279, 540, 707, 1072, 543, 3106, 2221, 256 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 5650, 3843, 547, 11168, 602, 1317, 568, 269, 15681, 952, 519, 27744, 616, 3982, 267, 519, 14802, 27523, 616, 16798, 547, 875, 547, 2638, 952, 513, 5119, 568, 15497, 14184, 23511, 7464, 27744, 267, 543, 2417, 3467, 952, 972, 616, 476, 274, 4830, 14802, 27523, 585, 519, 27744, 256, 13201, 715, 30314, 30314, 30314, 26008, 1862, 12384, 1483, 610, 1950, 14290, 3738, 856, 519, 1739, 2042, 827, 519, 15497, 1436, 540, 513, 15497, 14184, 1862, 2334, 568, 9647, 690, 517, 958, 4511, 334, 30692, 2522, 14184, 267, 8058, 602, 589, 268, 272, 568, 9647, 690, 517, 958, 15497, 14184, 19839, 334, 7325, 476, 1556, 1412, 1724, 693, 606, 256, 589, 476, 274, 343, 274, 5119, 267, 875, 666, 594, 2995, 952, 519, 5119, 568, 15497, 14184, 2489, 1018, 616, 519, 543, 1862, 594, 993, 2016, 513, 476, 274, 343, 274, 5119, 267, 875, 666, 594, 2995, 952, 519, 27744, 616, 3982, 267, 519, 14802, 27523, 16798, 256, 1677, 6338, 547, 596, 1879, 568, 513, 1888, 602, 1082, 1004, 616, 3168, 585, 3533, 2697, 607, 256, 1656, 28809, 519, 8984, 9971, 267, 596, 666, 2638, 538, 9971, 942, 2436, 519, 5119, 568, 538, 3200, 1043, 5272, 1862, 19881, 3296, 568, 602, 972, 616, 1079, 2081, 602, 513, 5119, 568, 15497, 14184, 799, 4564, 19852, 568, 1862, 1656, 1152, 952, 585, 1142, 14802, 7407, 519, 10155, 540, 519, 14802, 7407, 543, 9587, 1141, 519, 2338, 2099, 513, 1239, 907, 3657, 476, 274, 4830, 14802, 27523, 15497, 14184, 713, 568, 513, 5119, 543, 594, 1131, 899, 547, 917, 952, 621, 547, 269, 3657, 16798, 547, 581, 4830, 27744, 616, 3982, 267, 519, 14802, 27523, 616, 547, 1862, 2549, 2016, 513, 476, 274, 343, 274, 5119, 267, 1287, 5119, 568, 15497, 14184, 713, 568, 5119, 1862, 589, 6629, 272, 568, 849, 15497, 14184, 5294, 543, 931, 540, 1142, 540, 891, 8021, 267, 540, 4009, 1483, 610, 1950, 3738, 256, 634, 15497, 616, 15497, 14184, 676, 26667, 14290, 594, 2995, 952, 519, 27744, 616, 267, 29755, 8058, 602, 589, 268, 272, 568, 9647, 690, 517, 958, 4511, 334, 30692, 2522, 14184, 267, 8058, 602, 589, 268, 272, 568, 4511, 334, 30692, 2522, 14184, 256, 2986, 891, 8021, 15497, 616, 15497, 14184, 676, 26667, 14290, 15497, 14184, 5119, 538, 3200, 1043, 4564, 19852, 3515, 256, 13216, 14290, 3738, 568, 1770, 776, 1152, 25241, 14184, 952, 621, 568, 15497, 14184, 5918, 6088, 27744, 476, 274, 27744, 269, 27336, 6548, 538, 9343, 543, 9587, 1141, 519, 2338, 2099, 513, 1239, 1305, 11532, 538, 519, 681, 5752, 1893, 25241, 14184, 621, 269, 19336, 602, 568, 9647, 690, 517, 958, 15497, 14184, 6030, 2560, 616, 1079, 2081, 602, 513, 5119, 594, 269, 4934, 519, 1739, 2042, 827, 519, 20131, 707, 5119, 568, 606, 26667, 5119, 5119, 814, 1614, 1114, 23511, 11638, 13109, 540, 519, 14802, 7407, 952, 972, 616, 1079, 2081, 602, 513, 5119, 543, 594, 1131, 899, 547, 538, 1862, 15020, 1271, 3738, 1107, 19839, 334, 7325, 476, 1556, 1412, 1724, 693, 476, 1724, 281, 1428, 606, 562, 343, 333, 5119, 568, 15497, 1242, 621, 3587, 1360, 547, 1862, 5700, 952, 621, 568, 267, 1265, 513, 20060, 532, 983, 5119, 623, 865, 602, 568, 9647, 690, 517, 958, 11783, 645, 9795, 7684, 1862, 5272, 15497, 14184, 5119, 568, 606, 26667, 5119, 1294, 952, 596, 1265, 14290, 3982, 256, 1284, 723, 547, 2638, 952, 649, 666, 1265, 4830, 14802, 27523, 585, 519, 5918, 6088, 27744, 1114, 256, 4144, 21192, 14184, 676, 26667, 14290, 602, 519, 5119, 568, 1770, 776, 540, 891, 8021, 715, 1175, 256, 634, 5119, 568, 15497, 1242, 621, 3587, 1360, 2653, 547, 6318, 621, 547, 8870, 7060, 1287, 589, 6629, 272, 568, 849, 2807, 1215, 666, 594, 2995, 952, 519, 5119, 568, 15497, 14184, 713, 568, 513, 1888, 602, 1004, 269, 28088, 2059, 891, 3515, 15497, 14184, 594, 281, 11778, 543, 6201, 547, 11168, 602, 1317, 621, 1360, 256, 26321, 547, 519, 3818, 13109, 540, 519, 552, 580, 839, 10628, 568, 3160, 547, 519, 3818, 13109, 540, 552, 580, 839, 10628, 256, 5272, 15497, 14184, 5119, 538, 3200, 1043, 1265, 4830, 14802, 27523, 693, 476, 1724, 281, 1428, 606, 562, 343, 333, 5119, 568, 15497, 1242, 621, 3587, 1360, 547, 1421, 8058, 602, 589, 268, 272, 568, 9647, 690, 517, 958, 15497, 14184, 1239, 1305, 1287, 589, 6629, 272, 568, 849, 15497, 14184, 28011, 7756, 267, 1287, 5119, 568, 606, 5044, 540, 2338, 11231, 538, 9343, 543, 9587, 1141, 519, 2099, 1862, 3657, 16798, 547, 581, 15497, 14184, 2418, 616, 1114, 267, 1287, 5119, 568, 606, 5044, 2338, 1862, 1403, 596, 1265, 14290, 609, 3982, 27744, 630, 3818, 13109, 815, 476, 272, 3738, 596, 1058, 3533, 2697, 607, 256, 18880, 616, 1114, 267, 1287, 5119, 568, 1770, 776, 7325, 476, 1556, 1412, 1724, 693, 476, 1724, 281, 1428, 606, 5119, 269, 1772, 513, 20060, 532, 983, 15497, 14184, 5119, 267, 1287, 5119, 568, 15497, 1242, 621, 3587, 1360, 2653, 547, 6318, 621, 8870, 269, 11638, 13109, 815, 476, 272, 3738, 596, 1058, 3533, 2697, 1346, 607, 25241, 14184, 723, 715, 267, 1175, 3843, 547, 11168, 1317, 269, 769, 9343, 543, 9587, 1141, 519, 2338, 2099, 513, 1239, 1305, 5752, 286, 2336, 1708, 271, 513, 32142, 2200, 3909, 2090, 0, 1012, 1284, 289, 310, 528, 298, 10819, 692, 2162, 16534, 700, 305, 692, 2421, 9986, 14746, 670, 11367, 20620, 10831, 540, 30491, 281, 476, 275, 692, 2171, 616, 3843, 547, 946, 16534, 700, 305, 547, 1265, 519, 3070, 547, 713, 2243, 630, 5408, 3239, 2020, 4913, 267, 3079, 540, 3478, 519, 4397, 2626, 630, 1492, 5119, 20886, 274, 3910, 15631, 272, 316, 8079, 649, 2461, 3478, 513, 476, 273, 343, 273, 4642, 5119, 780, 21104, 762, 3515, 540, 3009, 616, 7396, 2630, 780, 1432, 616, 649, 3257, 27235, 2496, 259, 341, 273, 291, 815, 28758, 309, 10725, 263, 275, 267, 272, 5148, 1269, 291, 815, 19336, 31912, 274, 267, 276, 25662, 272, 267, 273, 316, 8079, 3248, 258, 18771, 581, 1572, 676, 513, 19336, 4569, 30606, 563, 259, 24987, 18693, 815, 259, 291, 15010, 338, 9876, 318, 28384, 263, 30467, 263, 259, 341, 273, 291, 9984, 285, 10520, 2821, 5148, 645, 9680, 2562, 318, 22333, 7876, 1979, 269, 16534, 700, 305, 1548, 568, 519, 3070, 547, 519, 1062, 1496, 291, 343, 815, 1422, 11355, 28452, 348, 316, 286, 1496, 287, 20735, 318, 7901, 263, 275, 267, 1789, 264, 7711, 30297, 1496, 287, 8382, 26705, 20055, 2891, 9795, 8442, 7711, 30297, 567, 2608, 28557, 8382, 4433, 2567, 265, 1496, 259, 24987, 18693, 6540, 2608, 11514, 2452, 539, 8382, 630, 12898, 519, 1813, 4266, 2567, 265, 20886, 259, 24987, 18693, 14963, 13673, 291, 318, 22333, 7876, 4888, 306, 263, 259, 24987, 18693, 15010, 322, 5404, 31156, 2162, 1234, 281, 16534, 700, 305, 692, 2421, 9986, 14746, 670, 11367, 20620, 28989, 267, 519, 3239, 8959, 547, 11904, 585, 930, 2601, 269, 7490, 1294, 5291, 2517, 19112, 584, 2593, 14121, 340, 309, 13993, 289, 339, 585, 519, 26518, 3239, 780, 2162, 1234, 281, 16534, 700, 305, 692, 2421, 5096, 728, 595, 969, 821, 20620, 763, 1966, 568, 602, 4194, 318, 28384, 3085, 1405, 2132, 1018, 596, 1589, 621, 1281, 269, 634, 1505, 3096, 519, 7222, 835, 689, 519, 19336, 18600, 10189, 267, 543, 602, 7024, 1614, 1919, 281, 519, 10155, 267, 519, 25739, 6152, 267, 543, 519, 3490, 5119, 269, 1452, 616, 6045, 538, 519, 5532, 2985, 630, 14142, 585, 4194, 318, 28384, 1040, 1924, 596, 1223, 798, 2901, 454, 263, 259, 323, 267, 259, 24987, 18693, 267, 259, 311, 264, 815, 259, 291, 15010, 338, 9876, 318, 28384, 263, 30467, 263, 259, 341, 273, 291, 9984, 285, 10520, 2821, 5148, 476, 610, 1269, 24987, 18693, 815, 18121, 291, 15010, 338, 9876, 318, 28384, 263, 30467, 263, 259, 341, 273, 291, 9984, 285, 10520, 2821, 4297, 314, 271, 316, 16963, 1729, 1205, 519, 1267, 602, 596, 616, 3168, 585, 269, 898, 7140, 856, 602, 952, 596, 3651, 519, 5044, 540, 1614, 547, 519, 22185, 8096, 24987, 18693, 267, 621, 4991, 8655, 547, 519, 2063, 3693, 538, 519, 5044, 630, 1492, 3490, 5119, 1070, 799, 568, 519, 476, 273, 343, 273, 4642, 5119, 596, 616, 7487, 269, 0, 258, 27387, 281, 4635, 13392, 3069, 547, 1265, 3193, 543, 1295, 2798, 593, 513, 3113, 2496, 272, 269, 12361, 4635, 13392, 3069, 547, 1265, 3193, 543, 1295, 2798, 593, 513, 3113, 2496, 1607, 568, 538, 519, 1641, 1543, 540, 606, 981, 594, 1544, 547, 1694, 855, 594, 1810, 1405, 723, 1250, 1257, 1433, 2943, 865, 594, 993, 2324, 689, 1863, 2200, 2228, 267, 855, 594, 723, 2760, 2938, 713, 1354, 543, 594, 666, 1405, 1265, 4376, 899, 621, 676, 10478, 24440, 267, 23248, 2576, 1934, 666, 2995, 803, 1141, 547, 1265, 811, 9623, 593, 713, 780, 257, 8794, 13392, 3069, 630, 2254, 11810, 264, 547, 1265, 519, 2009, 2418, 540, 519, 1599, 543, 519, 10974, 540, 519, 5021, 610, 5934, 2798, 593, 519, 3113, 780, 292, 326, 585, 586, 815, 1535, 273, 266, 273, 24474, 273, 268, 275, 343, 267, 952, 586, 815, 737, 1287, 1535, 273, 266, 273, 815, 330, 343, 273, 910, 476, 275, 330, 343, 10484, 7617, 814, 1483, 5072, 952, 476, 1626, 330, 273, 1341, 476, 279, 330, 910, 476, 279, 3436, 270, 284, 476, 271, 267, 26759, 952, 737, 21742, 284, 910, 272, 610, 737, 3436, 270, 284, 476, 272, 270, 273, 282, 630, 15124, 518, 982, 610, 11224, 281, 3436, 270, 284, 2020, 1805, 566, 776, 2798, 616, 630, 272, 267, 910, 272, 264, 543, 11196, 273, 267, 476, 272, 270, 273, 1040, 5016, 12552, 10484, 11219, 820, 692, 273, 269, 12361, 1234, 281, 4635, 13392, 3069, 547, 1265, 3193, 543, 1295, 2798, 593, 513, 3113, 2496, 2414, 1265, 519, 19335, 1448, 585, 513, 29236, 267, 946, 519, 1249, 602, 713, 4386, 693, 519, 14584, 267, 799, 568, 593, 519, 7852, 540, 15340, 267, 610, 1535, 815, 910, 321, 14370, 273, 320, 6393, 274, 269, 12361, 1234, 281, 4635, 13392, 3069, 547, 1265, 3193, 543, 1295, 2798, 593, 513, 3113, 2496, 296, 917, 855, 519, 2243, 3884, 1405, 827, 25158, 15614, 267, 922, 827, 7787, 3252, 538, 2489, 780, 275, 269, 12361, 1234, 281, 4635, 13392, 3069, 547, 1265, 3193, 543, 1295, 2798, 593, 513, 3113, 2496, 9767, 666, 1405, 2731, 10994, 834, 2102, 1968, 7787, 3252, 257, 609, 1175, 834, 638, 7310, 1738, 3069, 6231, 6011, 1197, 267, 952, 535, 3287, 264, 815, 623, 3287, 8358, 304, 3287, 1070, 1141, 623, 3287, 264, 543, 1627, 3287, 264, 616, 21335, 540, 4110, 2999, 476, 274, 267, 1287, 835, 666, 946, 1018, 835, 6487, 827, 834, 638, 7310, 1738, 21335, 257, 630, 1706, 629, 15614, 6393, 15290, 649, 1305, 586, 815, 737, 267, 1018, 649, 616, 3257, 568, 3843, 547, 1265, 630, 29985, 264, 5021, 543, 5934, 2418, 585, 737, 630, 6518, 568, 586, 267, 519, 1871, 540, 535, 3287, 4297, 780, 6748, 519, 13392, 3069, 267, 649, 1287, 1413, 585, 519, 1535, 781, 602, 2285, 1346, 2418, 585, 586, 1384, 344, 815, 910, 272, 25341, 1535, 273, 1341, 476, 273, 815, 476, 275, 343, 910, 1535, 273, 25341, 476, 273, 343, 273, 910, 476, 275, 343, 1341, 476, 273, 815, 476, 271, 25341, 1535, 273, 910, 476, 273, 343, 1341, 476, 272, 815, 476, 271, 25341, 1535, 815, 476, 272, 780, 810, 630, 272, 16427, 272, 264, 568, 513, 19335, 1448, 780, 344, 815, 476, 272, 270, 273, 25341, 476, 273, 343, 273, 1341, 476, 275, 815, 1535, 273, 910, 476, 275, 343, 25341, 1535, 273, 1341, 476, 275, 343, 1341, 476, 275, 815, 476, 271, 25341, 1535, 815, 910, 273, 780, 810, 11196, 273, 267, 272, 270, 273, 264, 568, 1776, 19335, 1448, 780, 11960, 4373, 810, 2484, 267, 713, 1152, 6645, 721, 535, 814, 513, 834, 701, 752, 257, 610, 513, 834, 1998, 2917, 257, 693, 1346, 1079, 2798, 630, 528, 7654, 267, 606, 1102, 3005, 1448, 1040, 2094, 519, 14009, 1317, 3768, 18249, 693, 1535, 815, 476, 271, 267, 543, 1535, 815, 476, 275, 267, 649, 1616, 547, 1413, 693, 875, 535, 31136, 593, 519, 1739, 4525, 1384, 268, 31236, 2999, 1535, 2999, 910, 273, 454, 268, 273, 2999, 1535, 2999, 476, 271, 454, 271, 2999, 1535, 2999, 476, 272, 454, 272, 2999, 1535, 2999, 476, 275, 454, 275, 2999, 1535, 2999, 3980, 508, 692, 257, 333, 792, 257, 910, 31236, 267, 630, 854, 1804, 2942, 1535, 264, 535, 3287, 264, 568, 2282, 476 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 589, 1283, 4919, 5470, 540, 524, 7397, 538, 519, 667, 4932, 786, 3132, 513, 5123, 5470, 540, 524, 10774, 267, 535, 2590, 525, 538, 519, 4611, 31785, 6945, 269, 8210, 5558, 538, 6093, 667, 4932, 338, 2039, 689, 476, 1015, 547, 476, 1789, 332, 630, 310, 6504, 543, 30733, 5069, 267, 476, 1960, 273, 1070, 31552, 602, 7446, 513, 6292, 540, 2592, 609, 9948, 15595, 1063, 476, 736, 543, 476, 2568, 332, 786, 6556, 606, 31785, 6248, 6482, 609, 606, 5470, 1732, 982, 524, 1315, 554, 513, 815, 1341, 476, 272, 270, 273, 4783, 267, 610, 1341, 1691, 6515, 585, 661, 11965, 269, 9540, 2418, 540, 9948, 3873, 316, 666, 9633, 1256, 1804, 6786, 609, 31074, 783, 1283, 4919, 535, 2590, 525, 269, 769, 606, 3665, 630, 663, 4686, 264, 2013, 267, 7136, 517, 6339, 543, 3171, 580, 331, 630, 1960, 276, 320, 264, 20114, 513, 1283, 4919, 5470, 540, 524, 9625, 476, 7742, 332, 267, 10199, 476, 279, 2053, 3677, 982, 519, 3370, 8856, 585, 519, 667, 4932, 269, 901, 31074, 20998, 519, 535, 16206, 4806, 3812, 676, 513, 1507, 13091, 269, 3680, 532, 971, 10539, 3340, 3168, 693, 1896, 31785, 9999, 609, 1114, 2418, 540, 688, 269, 1280, 606, 13091, 267, 519, 1297, 540, 524, 846, 1143, 545, 535, 2590, 525, 1281, 711, 4096, 593, 688, 269, 27321, 2360, 666, 849, 635, 12393, 519, 7664, 540, 606, 31785, 6945, 269, 11569, 267, 7648, 538, 519, 31659, 4994, 540, 519, 7708, 1842, 335, 1877, 616, 519, 1699, 12145, 2707, 540, 5470, 538, 519, 5442, 306, 2752, 4480, 630, 20112, 7322, 267, 476, 1960, 276, 282, 7136, 517, 6339, 543, 3171, 580, 331, 267, 476, 1960, 276, 320, 282, 25347, 1696, 620, 1421, 476, 1960, 277, 282, 20579, 599, 516, 543, 7136, 517, 6339, 267, 476, 1960, 277, 282, 14858, 321, 12027, 1696, 620, 1421, 476, 1960, 278, 282, 17713, 11420, 267, 476, 1220, 271, 1040, 15783, 569, 267, 835, 1223, 25657, 513, 1283, 4919, 15040, 609, 513, 12761, 267, 952, 18640, 2360, 1711, 535, 2590, 525, 799, 834, 327, 1872, 257, 519, 27177, 899, 26048, 3515, 267, 855, 799, 2268, 519, 1689, 538, 7708, 1842, 335, 8879, 8488, 269, 901, 1198, 729, 1101, 4767, 607, 1896, 3492, 878, 535, 2590, 525, 538, 513, 476, 272, 6377, 31785, 6945, 593, 24398, 269, 18264, 3534, 630, 22709, 517, 6339, 543, 3171, 580, 331, 267, 476, 1960, 279, 282, 2142, 7596, 340, 4897, 1696, 620, 1421, 476, 1220, 271, 1040, 2290, 666, 5431, 713, 11029, 1198, 1210, 6292, 3772, 7954, 630, 22709, 517, 6339, 543, 3171, 580, 331, 267, 476, 1960, 276, 320, 264, 610, 1210, 513, 667, 4932, 543, 2199, 14368, 1670, 7422, 630, 22013, 659, 22620, 1696, 620, 1421, 476, 1960, 279, 282, 13879, 1696, 620, 1421, 476, 1960, 279, 1040, 1717, 267, 19459, 519, 7708, 1842, 335, 8879, 6846, 689, 519, 22636, 5365, 666, 581, 4101, 267, 3226, 950, 519, 5365, 568, 1507, 267, 552, 3052, 1421, 519, 9588, 476, 276, 269, 273, 13091, 2282, 853, 269, 6754, 632, 674, 523, 537, 32576, 267, 5333, 630, 305, 15282, 543, 7136, 517, 6339, 267, 476, 1960, 280, 1916, 272, 269, 278, 590, 2752, 3955, 2536, 5852, 901, 2520, 617, 2045, 4480, 21410, 519, 13779, 4806, 3361, 676, 519, 5123, 3017, 1063, 1079, 2592, 9715, 676, 513, 2230, 25645, 10991, 27934, 16986, 630, 306, 2752, 264, 693, 1079, 3982, 2053, 269, 634, 4611, 31785, 6945, 568, 513, 26048, 4786, 540, 519, 1689, 538, 3845, 1063, 519, 2666, 543, 519, 16986, 6293, 269, 3962, 535, 16206, 4564, 513, 2039, 1689, 540, 3368, 519, 15423, 269, 4935, 267, 519, 26048, 8884, 568, 476, 2764, 6515, 585, 595, 7171, 2234, 1513, 971, 607, 661, 11965, 543, 681, 4696, 12678, 2969, 543, 10199, 2185, 2053, 3677, 267, 476, 10219, 6515, 585, 519, 700, 1532, 663, 808, 8991, 9682, 269, 1452, 7851, 1683, 606, 5667, 584, 10139, 539, 8901, 10386, 5860, 630, 349, 1911, 335, 1460, 1564, 14790, 268, 273, 1070, 513, 8013, 8856, 630, 349, 272, 4699, 264, 543, 513, 3730, 8343, 20017, 775, 630, 272, 1780, 270, 24629, 1070, 607, 4330, 538, 513, 2689, 2376, 676, 7136, 517, 6339, 543, 3171, 580, 331, 630, 1960, 279, 1070, 799, 568, 22950, 337, 1078, 1934, 269, 1677, 7001, 606, 13091, 267, 5442, 306, 2752, 3340, 1614, 1239, 5036, 281, 513, 590, 2752, 3239, 1354, 519, 13091, 267, 835, 1310, 267, 543, 1283, 4919, 1344, 269, 634, 590, 2752, 2592, 2933, 616, 3638, 1239, 5036, 1134, 13006, 538, 519, 6552, 15392, 3332, 630, 10501, 1633, 518, 543, 5062, 10673, 965, 267, 476, 1960, 272, 282, 26673, 3205, 543, 11066, 267, 476, 1960, 279, 1040, 634, 1283, 4919, 1344, 568, 2556, 547, 2203, 543, 4894, 519, 31785, 6248, 535, 2590, 525, 3361, 676, 1283, 4919, 8323, 607, 834, 16308, 538, 8305, 334, 257, 689, 5594, 1114, 2798, 540, 2070, 269, 1677, 6023, 519, 1283, 4919, 9295, 267, 649, 666, 3442, 1063, 519, 834, 18314, 1790, 817, 257, 1935, 630, 324, 3052, 1421, 7136, 517, 6339, 543, 3171, 580, 331, 267, 476, 1960, 279, 264, 543, 519, 834, 22764, 1790, 817, 257, 610, 834, 29602, 1673, 29924, 257, 1935, 630, 324, 3052, 1421, 14858, 321, 12027, 1696, 620, 1421, 476, 1960, 275, 1040, 1280, 13091, 2090, 267, 972, 568, 2356, 513, 4123, 11325, 1063, 519, 1079, 1790, 817, 1935, 267, 799, 3340, 513, 3059, 15038, 2203, 630, 291, 4932, 1070, 543, 519, 1614, 1790, 817, 1935, 267, 799, 3340, 513, 3791, 590, 2752, 11601, 269, 4329, 4901, 540, 3448, 26350, 540, 519, 1079, 268, 543, 1614, 1790, 817, 4485, 616, 3564, 519, 9165, 540, 713, 3184, 269, 1677, 4612, 606, 31785, 6945, 267, 835, 1590, 1174, 875, 1114, 2360, 3565, 547, 519, 535, 16206, 4806, 269, 3509, 4051, 633, 1806, 2408, 538, 2689, 4574, 676, 7136, 517, 6339, 543, 3171, 580, 331, 630, 1960, 279, 1070, 631, 6758, 523, 543, 14858, 321, 12027, 630, 1960, 279, 264, 543, 26990, 10458, 1696, 620, 269, 630, 1220, 271, 1040, 634, 6310, 3877, 2408, 538, 1776, 2689, 630, 289, 600, 2401, 543, 19134, 331, 267, 476, 1960, 279, 1040, 17713, 11420, 630, 1220, 272, 264, 814, 2854, 513, 9488, 1837, 269, 1280, 13091, 2090, 267, 519, 1034, 1271, 2360, 4125, 1283, 4919, 8323, 267, 20771, 24551, 267, 543, 7708, 1842, 335, 8879, 1201, 3555, 267, 2356, 538, 4999, 269, 1403, 519, 1283, 4919, 1344, 630, 320, 667, 4932, 585, 1079, 1790, 817, 267, 610, 519, 834, 9008, 334, 6292, 257, 538, 1614, 1790, 817, 5442, 306, 2752, 264, 568, 538, 5470, 267, 519, 31785, 6945, 786, 2270, 31074, 783, 535, 2590, 525, 269, 1358, 2408, 538, 519, 1482, 4087, 538, 1169, 31785, 6945, 3812, 1210, 602, 1283, 4919, 2203, 269, 1677, 22945, 713, 1198, 267, 7136, 517, 6339, 543, 15887, 320, 1393, 630, 1960, 274, 264, 5581, 519, 15820, 540, 13509, 688, 607, 519, 6521, 538, 15820, 2877, 547, 3132, 835, 1283, 4919, 535, 16206, 269, 11569, 267, 713, 9936, 568, 11201, 569, 14354, 547, 519, 13902, 5057, 540, 519, 9497, 21353, 5202, 8442, 6152, 19459, 519, 1079, 20771, 24551, 2676, 272, 269, 279, 4856, 21975, 540, 5565, 22647, 1606, 14819, 16103, 898, 568, 849, 2009, 547, 3713, 630, 26171, 264, 524, 846, 1143, 545, 771, 2897, 906, 676, 12633, 908, 1079, 9804, 2592, 269, 634, 834, 25419, 257, 10321, 6059, 1063, 519, 7222, 1016, 335, 31242, 2281, 540, 513, 840, 638, 820, 543, 513, 2022, 638, 820, 3239, 11729, 519, 8880, 3334, 540, 519, 524, 846, 1143, 545, 12761, 6152, 609, 11281, 7400, 8856, 543, 20267, 10309, 6571, 630, 290, 23774, 523, 267, 476, 1960, 273, 282, 595, 23774, 523, 543, 2349, 558, 267, 476, 1960, 273, 282, 11709, 10658, 2096, 15842, 324, 1188, 1696, 620, 1421, 476, 1220, 271, 1040, 634, 1482, 4480, 849, 10039, 547, 590, 2752, 2592, 269, 1635, 12633, 908, 1079, 17266, 6733, 454, 277, 1321, 13216, 630, 306, 9448, 264, 590, 2752, 17931, 9497, 10587, 322, 2660, 8442, 2592, 9715, 693, 1114, 2053, 267, 18466, 1696, 620, 269, 630, 1960, 280, 264, 6027, 2666, 771, 2897, 906, 585, 519, 8092, 619, 13091, 269, 4256, 1267, 568, 834, 320, 1079, 8820, 12761, 2361, 609, 4830, 7403, 1169, 827, 476, 12553, 544, 538, 20842, 574, 3578, 543, 476, 7742, 332, 538, 2039, 269, 634, 6111, 5673, 593, 519, 4162, 540, 519, 2592, 269, 1280, 519, 8092, 619, 1449, 2013, 5941, 538, 519, 1353, 267, 519, 476, 272, 8584, 10462, 568, 476, 271, 269, 279, 544, 538, 2039, 543, 476, 271, 269, 275, 544, 538, 20842, 574, 3578, 269, 1496, 5445, 316, 1397, 602, 713, 6482, 2488, 513, 4786, 540, 2101, 2627, 13337, 8297, 696, 999, 4977, 547, 1732, 982, 476, 272, 5998, 543, 606, 1344, 593, 524, 846, 1143, 545, 22636, 13380, 547, 519, 476, 10844, 15870, 7403, 2139, 269, 4014, 1447, 4977, 267, 713, 4480, 568, 811, 7347, 982, 590, 2752, 31785, 5852, 543, 2488, 513, 14911, 1344, 2094, 31785, 9999, 616, 1152, 6213, 547, 519, 12761, 538, 2039, 1701, 630, 31466, 3559, 1696, 620, 1421, 476, 1960, 280, 8094, 273, 269, 6480, 26305, 32495, 820, 30352, 676, 769, 11437, 540, 2983, 617, 2045, 4578, 454, 325, 5435, 15429, 814, 3259, 700, 543, 8700, 654, 269, 634, 17277, 593, 519, 13337, 7077, 568, 513, 6152, 772, 609, 1614, 3334, 267, 772, 272, 267, 772, 273, 267, 543, 772, 274, 269, 634, 2990, 10974, 540, 519, 13337, 15429, 616, 661, 267, 715, 267, 543, 546, 267, 3144, 2318, 7532, 267, 5087, 267, 543, 1524, 269, 634, 20842, 574, 3578, 513, 3947, 519, 10880, 540, 519, 13337, 267, 538, 5232, 29628, 689, 5087, 269, 7053, 267, 606, 20626, 6849, 2059, 10880, 1058, 1294, 519, 13337, 16702, 693, 476, 277, 5232, 547, 1010, 1318, 269, 634, 21411, 3385, 6724, 8428, 5594, 689, 519, 6724, 23163, 676, 17688, 5505, 269, 769, 1880, 267, 519, 5169, 540, 21411, 3385, 781, 13337, 15429, 1281, 711, 14626, 728, 609, 519, 1298, 5514, 693, 519, 12166, 4099, 540, 519, 13337, 13551, 630, 8722, 580, 331, 543, 13660, 1440, 277, 267, 476, 1960, 280, 1040, 1280, 513, 5595, 2275, 537, 921, 2707, 267, 519, 28995, 5057, 8709, 8460, 630, 308, 274, 284, 271, 264, 543, 519, 17277, 6152, 772, 6013, 538, 519, 13337, 7077, 269, 1530, 1143, 5505, 5581, 519, 986, 651, 5086, 678, 971, 602, 16009, 678, 815, 772, 345, 270, 308, 272, 630, 288, 7288, 543, 27672, 267, 476, 2735, 271, 1040, 769, 14287, 267, 678, 284, 2969, 3198, 273, 263, 308, 345, 267, 772, 272, 264, 1141, 11083, 3198, 273, 568, 519, 8912, 11123, 15045, 3198, 17271, 1599, 585, 818, 551, 836, 550, 630, 308, 345, 270, 308, 272, 264, 593, 519, 2039, 1496, 910, 476, 272, 476, 279, 476, 271, 9625, 1341, 5197, 349, 589, 19876, 325, 5435, 532, 7271, 267, 585, 1383, 267, 814, 772, 273, 3436, 476, 271, 543, 678, 3436, 476, 271, 269, 589, 3339, 13337, 532, 7271, 267, 593, 519, 824, 1688, 267, 814, 772, 273, 2999, 476, 271, 543, 678, 2999, 476, 271, 269, 6684, 267, 2451, 2000, 8632, 17277, 10522, 772, 272, 3436, 476, 271, 543, 7054, 331, 9041, 283, 3445, 9625, 6466, 1318, 2000, 8632, 17277, 10522, 772, 272, 9041, 285, 271, 543, 7054, 331, 3436, 318, 476, 3445, 9625, 454, 273, 269, 274, 7201, 2391, 2667, 636, 6877, 476, 273, 269, 272, 634, 9208, 4432, 2880, 21009, 1606, 10628, 7844, 454, 3602, 476, 277, 329, 330, 568, 519, 918, 337, 821, 14982, 18232, 267, 589, 543, 1948, 616, 19681, 349, 262, 338, 14170, 267, 642, 330, 568, 519, 4287, 25482, 540, 519, 3339, 547, 519, 2627, 3693, 546, 292, 267, 543, 519, 14805, 566, 15007, 10039, 269, 634, 2165, 579, 314, 568, 519, 476, 603, 5057, 540, 519, 12761, 693, 630, 343, 331, 267, 1535, 273, 267, 1535, 274, 264, 1813, 547, 519, 795, 628, 4287, 1448, 3196, 540, 9588, 674, 693, 630, 349, 272, 267, 9625, 273, 267, 9625, 274, 1040, 1280, 519, 2347, 1305, 540, 4834, 1294, 21411, 3385, 630, 2735, 276, 1070, 945, 849, 2953, 338, 3105, 8174, 725, 269, 589, 1857, 26730, 664, 2780, 1982, 15824, 891, 9273, 630, 8722, 580, 331, 543, 13660, 1440, 349, 267, 476, 1960, 280, 1040, 595, 6817, 681, 7582, 6224, 301, 267, 713, 1982, 568, 3769, 593, 519, 18361, 7131, 268, 15375, 896, 519, 15682, 1422, 4391, 8722, 580, 331, 269, 21411, 3385, 630, 1960, 273, 264, 15824, 713, 9819, 693, 1022 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2797, 6138, 543, 13919, 2275, 1712, 540, 6004, 269, 8834, 5136, 328, 267, 513, 5449, 17294, 540, 1323, 600, 3630, 3557, 269, 1261, 1336, 741, 23339, 1033, 652, 762, 267, 16339, 27809, 267, 705, 1817, 1370, 267, 543, 20868, 563, 5522, 11691, 3020, 547, 1826, 267, 6004, 269, 8834, 5136, 328, 267, 945, 1031, 547, 581, 513, 1283, 4759, 540, 623, 7894, 267, 23564, 2797, 5428, 267, 543, 8678, 519, 23267, 9549, 269, 1261, 568, 267, 1631, 519, 16232, 11134, 540, 519, 23267, 9549, 269, 4595, 1010, 2797, 13743, 1336, 19671, 593, 519, 4262, 24528, 540, 519, 23267, 9549, 267, 519, 8560, 540, 602, 5428, 814, 865, 1563, 609, 930, 2797, 2462, 10381, 11836, 519, 2797, 5428, 547, 2220, 749, 922, 16034, 563, 3086, 267, 6004, 269, 8834, 5136, 328, 779, 8425, 324, 601, 543, 3540, 2213, 1259, 540, 2184, 10107, 267, 1010, 17611, 748, 531, 540, 1010, 2797, 24866, 267, 543, 32538, 540, 1010, 5718, 27356, 8124, 814, 10769, 1563, 1864, 547, 519, 13999, 269, 3571, 18531, 267, 799, 616, 2575, 547, 938, 10772, 267, 723, 1336, 16982, 1851, 519, 32249, 10126, 540, 13280, 779, 2551, 269, 5136, 328, 779, 9118, 18793, 267, 945, 1289, 2933, 519, 744, 10292, 323, 1304, 2073, 723, 3144, 936, 519, 2166, 1499, 10628, 1141, 789, 616, 9070, 908, 1010, 19237, 543, 5009, 1010, 2797, 6596, 1155, 563, 5353, 1242, 676, 5136, 328, 17907, 807, 267, 5136, 328, 779, 18793, 616, 20834, 2358, 1489, 585, 1864, 18487, 585, 11815, 529, 269, 3767, 267, 513, 5354, 540, 30645, 31655, 723, 10412, 539, 593, 547, 519, 2856, 540, 519, 4644, 267, 2956, 267, 543, 519, 16122, 540, 4543, 6004, 269, 8834, 27068, 5136, 328, 267, 519, 23267, 9549, 16232, 11134, 267, 547, 3094, 519, 476, 1708, 274, 16232, 9550, 269, 4256, 3597, 532, 585, 1864, 267, 799, 568, 1759, 593, 741, 8226, 540, 1864, 607, 938, 2797, 31050, 267, 568, 513, 20381, 844, 820, 602, 786, 1689, 938, 2797, 5251, 543, 5337, 924, 519, 4720, 540, 938, 2797, 2528, 269, 1772, 4838, 711, 2907, 7192, 2393, 538, 13280, 1631, 286, 1924, 2436, 6004, 269, 8834, 5136, 328, 17993, 519, 476, 1708, 274, 16232, 9550, 610, 711, 568, 1799, 1468, 547, 721, 563, 3719, 646, 6763, 513, 1390, 4960, 540, 6932, 519, 16771, 540, 519, 476, 1708, 274, 16232, 16311, 267, 952, 519, 9550, 786, 581, 1863, 543, 4023, 269, 594, 723, 1044, 5706, 532, 519, 20882, 547, 1376, 5466, 6004, 269, 5136, 328, 607, 519, 19670, 5518, 540, 13280, 269, 0, 22709, 568, 2965, 513, 22185, 2647, 3099, 602, 779, 6140, 6766, 676, 519, 1007, 24880, 269, 769, 1068, 807, 568, 519, 4187, 856, 6361, 606, 6221, 547, 2087, 741, 1533, 540, 5163, 952, 538, 2013, 606, 21286, 3196, 729, 1031, 593, 621, 269, 4475, 267, 606, 6221, 602, 723, 4514, 2527, 814, 513, 30856, 4356, 540, 8396, 6991, 269, 634, 4195, 2450, 3823, 606, 6221, 2337, 596, 547, 917, 519, 1259, 646, 11998, 519, 1007, 3077, 729, 538, 519, 1747, 540, 8904, 269, 898, 779, 3586, 1317, 519, 2527, 5170, 547, 581, 519, 3169, 1482, 593, 1114, 1558, 1886, 565, 2478, 693, 519, 513, 2016, 942, 269, 12769, 584, 5270, 543, 596, 949, 4320, 2119, 3710, 2987, 7907, 2476, 689, 6927, 269, 1280, 519, 2653, 16166, 267, 1945, 602, 8952, 2527, 543, 3217, 909, 1858, 849, 814, 2834, 640, 543, 5860, 269, 18833, 519, 4276, 9170, 1063, 12136, 543, 4908, 267, 835, 1058, 4865, 513, 1991, 8223, 540, 1293, 269, 12769, 584, 5270, 666, 581, 7150, 607, 519, 1297, 540, 13557, 1459, 538, 513, 1570, 2348, 9672, 4320, 269, 12769, 584, 5270, 2048, 338, 519, 6580, 8151, 689, 13557, 543, 596, 949, 4320, 269, 1284, 1223, 1174, 2429, 519, 12136, 1175, 875, 18172, 519, 6675, 1055, 606, 6221, 729, 14095, 3823, 6035, 1858, 269, 634, 6216, 1007, 11098, 540, 707, 1378, 3077, 2760, 7369, 799, 723, 3337, 543, 2450, 563, 32701, 12136, 1522, 581, 12012, 4470, 593, 519, 2837, 543, 596, 786, 2604, 2322, 593, 519, 6221, 8754, 2417, 8309, 547, 519, 1689, 585, 519, 6219, 269, 22039, 568, 2965, 513, 2168, 2647, 3099, 602, 568, 1759, 593, 1297, 543, 596, 666, 20475, 519, 476, 274, 21021, 519, 2179, 540, 606, 1843, 602, 568, 5462, 676, 1210, 519, 30080, 4090, 522, 340, 3926, 269, 1323, 30688, 267, 519, 7274, 856, 540, 513, 1390, 13306, 568, 6697, 547, 2427, 2053, 4395, 2427, 2053, 4395, 269, 9603, 547, 519, 1249, 2427, 540, 513, 4009, 568, 519, 1482, 267, 649, 666, 1118, 8653, 540, 602, 4395, 13306, 269, 3958, 267, 606, 1620, 540, 5860, 543, 596, 949, 4908, 2094, 519, 2489, 2474, 543, 2175, 568, 10123, 1271, 269, 3371, 267, 4320, 568, 519, 15629, 2230, 4904, 585, 519, 827, 1614, 17114, 689, 519, 513, 6225, 2339, 267, 950, 596, 1265, 3054, 12136, 568, 519, 13557, 585, 1142, 543, 1169, 3937, 856, 540, 2834, 640, 563, 763, 7274, 540, 513, 7623, 568, 1614, 8820, 269, 898, 779, 6569, 2094, 2450, 950, 596, 1413, 693, 519, 827, 1614, 4388, 538, 1747, 540, 2749, 6382, 8653, 267, 543, 519, 4320, 540, 1007, 6219, 7868, 1587, 2298, 3926, 26224, 2268, 2834, 640, 729, 25451, 269, 634, 3926, 568, 2965, 10736, 883, 1804, 543, 4130, 2645, 585, 1383, 513, 6225, 1232, 9014, 610, 9481, 516, 585, 875, 2462, 610, 1507, 519, 2698, 2179, 568, 2965, 267, 621, 779, 2944, 676, 8806, 8840, 909, 270, 14921, 676, 519, 9937, 267, 7366, 267, 1082, 267, 543, 865, 593, 269, 634, 5767, 11098, 540, 1022, 1843, 568, 4330, 607, 519, 1007, 2450, 2476, 689, 596, 547, 9090, 3077, 585, 1142, 3926, 4320, 269, 12769, 584, 5270, 2337, 547, 6430, 875, 15982, 6382, 2484, 2476, 519, 1007, 6675, 568, 2965, 14095, 883, 519, 9672, 4055, 269, 634, 6574, 10196, 1634, 607, 5246, 574, 26433, 4092, 519, 2219, 540, 1007, 12769, 584, 5270, 856, 540, 606, 1843, 269, 2201, 11973, 1982, 267, 12769, 584, 5270, 568, 2965, 18886, 950, 596, 1413, 693, 519, 4846, 8276, 274, 602, 779, 17814, 1317, 519, 667, 610, 7790, 269, 634, 6216, 1007, 5860, 3823, 513, 6219, 3112, 2981, 896, 930, 29886, 2175, 3079, 4470, 593, 519, 2179, 269, 10089, 330, 31963, 593, 6708, 2016, 602, 649, 666, 711, 3313, 519, 4195, 1007, 2450, 3823, 513, 7623, 609, 1100, 1702, 540, 922, 2834, 640, 610, 824, 8733, 4170, 269, 1703, 568, 6266, 856, 540, 3017, 538, 2527, 543, 596, 949, 11098, 711, 607, 1454, 607, 1114, 4170, 543, 18312, 2609, 543, 596, 786, 7135, 269, 25756, 568, 519, 1769, 652, 11046, 543, 3568, 835, 10116, 1007, 2450, 1055, 26775, 799, 568, 519, 2034, 1769, 652, 269, 25756, 8444, 1129, 909, 2059, 609, 1200, 547, 1106, 835, 11140, 855, 596, 547, 9090, 11140, 689, 7250, 22179, 4724, 3368, 607, 1454, 607, 513, 2582, 26775, 11046, 269, 9603, 547, 519, 1915, 540, 707, 1378, 4492, 267, 930, 2179, 689, 7250, 4492, 568, 5111, 3368, 540, 519, 4195, 1007, 5860, 856, 540, 26775, 4492, 711, 607, 1454, 607, 6697, 4170, 269, 1717, 23463, 585, 519, 17571, 543, 596, 949, 6704, 1216, 519, 4276, 2476, 689, 11098, 568, 1454, 811, 4359, 269, 634, 5767, 6046, 610, 7636, 23466, 2170, 1247, 519, 11098, 2242, 2687, 547, 519, 2450, 543, 3337, 540, 835, 779, 6125, 563, 763, 6216, 1007, 12136, 543, 596, 949, 2834, 640, 1920, 1894, 6811, 835, 547, 1312, 616, 14354, 865, 596, 666, 835, 1776, 269, 898, 6920, 596, 547, 9090, 849, 513, 1507, 1689, 538, 12136, 1223, 581, 547, 2014, 513, 1689, 538, 7274, 540, 602, 2179, 267, 581, 621, 606, 3693, 610, 513, 6219, 563, 13010, 267, 519, 6587, 568, 849, 4570, 267, 17929, 1256, 13622, 6454, 538, 4320, 4122, 1439, 909, 538, 513, 1434, 1689, 538, 11098, 856, 6361, 513, 1808, 1843, 269, 8921, 547, 267, 596, 1058, 849, 917, 827, 519, 5767, 16315, 24218, 585, 1169, 2582, 9936, 547, 581, 2111, 547, 6813, 519, 2078, 3330, 8579, 2175, 24672, 563, 12234, 267, 2899, 519, 1053, 922, 849, 8797, 547, 4063, 6216, 1007, 3457, 856, 6361, 1312, 12136, 543, 596, 949, 2834, 640, 607, 1134, 269, 4935, 267, 607, 2834, 640, 568, 606, 5140, 1614, 8820, 7274, 267, 621, 779, 3893, 741, 1907, 538, 519, 513, 12945, 2511, 267, 971, 513, 1434, 12945, 25451, 563, 8802, 8973, 5860, 267, 602, 568, 6444, 607, 519, 2557, 540, 2242, 540, 2450, 585, 1169, 4320, 267, 519, 3926, 568, 11304, 11305, 889, 545, 25451, 543, 922, 1378, 6499, 269, 1452, 3457, 3478, 2527, 1522, 581, 13532, 6382, 575, 267, 4470, 593, 700, 832, 4302, 543, 596, 786, 595, 14899, 1949, 267, 1022, 666, 581, 4294, 269, 1656, 713, 267, 1453, 1522, 581, 18762, 8164, 596, 616, 4259, 5346, 513, 2648, 1063, 13557, 4320, 543, 596, 786, 5860, 543, 1175, 723, 952, 596, 616, 4657, 689, 476, 272, 1907, 547, 930, 824, 563, 3725, 958, 814, 2965, 2119, 19927, 676, 3173, 269, 1358, 666, 581, 5018, 1369, 519, 5933, 540, 476, 272, 610, 3152, 856, 6361, 2947, 3601, 281, 1974, 267, 4266, 267, 2450, 267, 543, 596, 786, 3167, 13324, 12375, 269, 634, 2179, 540, 513, 1390, 18062, 2119, 513, 1770, 2476, 689, 1296, 7750, 539, 543, 4061, 519, 21777, 4783, 666, 581, 8476, 602, 609, 11098, 543, 596, 786, 1287, 621, 568, 2799, 676, 1210, 4463, 269, 11730, 568, 2965, 6027, 538, 2474, 540, 1296, 543, 621, 568, 6045, 607, 519, 7274, 540, 476, 274, 323, 2749, 596, 547, 606, 6221, 3217, 909, 269, 22039, 568, 2965, 5018, 1369, 519, 12945, 15432, 267, 19838, 12945, 1298, 22015, 637, 269, 1411, 666, 1265, 835, 8536, 1984, 4106, 637, 538, 835, 1396, 516, 269, 12769, 584, 5270, 729, 6027, 1175, 899, 519, 8167, 1055, 13557, 543, 5860, 269, 12769, 584, 5270, 568, 1256, 15504, 2094, 513, 2040, 602, 3081, 547, 6216, 1007, 11593, 2139, 1858, 538, 547, 519, 606, 1858, 269, 634, 3926, 540, 12136, 616, 575, 30763, 476, 274, 1547, 10089, 330, 568, 9157, 547, 3489, 269, 12769, 584, 5270, 568, 1336, 538, 2474, 540, 2450, 543, 4908, 269, 22039, 616, 7123, 543, 621, 568, 4330, 607, 519, 2230, 4904, 1317, 540, 519, 513, 1570, 269, 634, 2450, 540, 1007, 7623, 15320, 538, 1585, 3688, 269, 634, 4320, 689, 606, 2500, 18062, 666, 581, 5462, 676, 14921, 4463, 543, 3178, 269, 1703, 616, 1585, 2409, 3823, 12719, 2179, 540, 811, 8631, 563, 32622, 547, 6056, 540, 454, 763, 5767, 6935, 1063, 4320, 543, 596, 786, 11098, 799, 723, 2527, 814, 930, 8945, 1919, 602, 1053, 1058, 1174, 547, 1378, 8763, 6791, 538, 519, 1482, 269, 901, 1007, 3688, 616, 607, 5205, 24121, 299, 1172, 1749, 2119, 606, 608, 18277, 538, 713, 2680, 267, 607, 621, 21040, 538, 519, 4908, 950, 596, 616, 16171, 267, 7551, 602, 723, 513, 1390, 4308, 811, 4320, 538, 922, 4396, 15581, 982, 1175, 3379, 547, 519, 554, 273, 334, 1533, 269, 901, 2962, 5956, 693, 476, 275, 9180, 543, 602, 779, 1634, 607, 18811, 748, 10137, 540, 1216, 563, 9824, 566, 9737, 774, 32169, 1656, 596, 949, 22039, 454, 2252, 596, 1265, 3054, 2921, 513, 1413, 693, 519, 6935, 9170, 1063, 12136, 4908, 543, 13557, 759, 14741, 4950, 4609, 328, 267, 10453, 1131, 581, 547, 4063, 1318, 1934, 602, 5860, 3823, 1216, 7369, 538, 519, 811, 3002, 269, 1717, 267, 922, 11098, 593, 476, 1911, 5933, 17622, 568, 9090, 519, 3490, 856, 6361, 4199, 563, 2005, 1522, 581, 8797, 547, 1131, 1382, 519, 7004, 2476, 689, 12136, 865, 596, 666, 4908, 543, 13030, 17930, 3395, 513, 16994, 1702, 540, 1950, 10230, 269, 2142, 1978, 602, 596, 2461, 2111, 547, 6460, 873, 1510, 7411, 267, 1141, 596, 786, 581, 8357, 1047, 1522, 4542, 2348, 12136, 563, 2690, 606, 6221, 540, 811, 2143, 1344, 3823, 519, 6216, 1007, 13557, 2834, 640, 543, 596, 949, 11098, 543, 741, 4143, 814, 2965, 267, 7503, 3928, 543, 596, 666, 3156, 267, 8399, 998, 938, 1360, 1378, 593, 519, 1357, 12423, 15961, 269, 1261, 814, 3893, 519, 1283, 7400, 2090, 1344, 31751, 676, 519, 938, 1888, 5294, 585, 707, 27792, 563, 2791, 949, 10333, 782, 540, 938, 1353, 1570, 547, 707, 6580, 9170, 1063, 11098, 543, 596, 949, 4908, 543, 824, 4143, 3652, 593, 519, 782, 540, 938, 28174, 656, 340, 3498, 799, 2636, 835, 547, 10333, 938, 2079, 5650, 20471, 269, 0, 14503, 698, 540, 519, 4436, 7276, 454, 763, 25035, 540, 519, 4436, 7276, 267, 610, 15875, 25035, 267, 568, 513, 4999, 1063, 519 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 25078, 8294, 17262, 20254, 12168, 362, 15906, 21333, 12168, 363, 14507, 12168, 363, 17262, 21333, 406, 363, 8294, 20901, 18457, 25078, 20254, 28519, 8294, 21333, 20901, 476, 30764, 14507, 21333, 20901, 12168, 357, 8294, 404, 368, 17262, 21333, 12168, 359, 8294, 17262, 17262, 21333, 476, 14180, 404, 362, 15906, 8294, 20901, 21333, 12168, 368, 21333, 563, 268, 476, 406, 484, 14180, 8294, 14180, 406, 484, 20901, 12168, 363, 14507, 12168, 363, 17262, 21333, 406, 363, 8294, 20901, 12168, 362, 15906, 21333, 18457, 404, 366, 12168, 368, 14534, 8294, 14507, 20901, 12168, 359, 14534, 8294, 25078, 404, 490, 18457, 17262, 14534, 17262, 12022, 476, 15906, 12168, 351, 17262, 21333, 17262, 12168, 359, 12022, 406, 363, 14507, 8294, 14534, 18457, 25078, 20254, 28519, 8294, 21333, 20901, 476, 30764, 14507, 21333, 20901, 12168, 357, 8294, 404, 368, 17262, 21333, 12168, 359, 8294, 17262, 17262, 21333, 476, 14180, 404, 362, 15906, 8294, 20901, 21333, 12168, 368, 21333, 563, 268, 476, 406, 484, 14180, 8294, 14180, 406, 484, 20901, 12168, 363, 17262, 21333, 406, 363, 8294, 20901, 17262, 12168, 357, 17262, 18457, 14507, 20254, 24220, 8294, 404, 371, 12168, 357, 8294, 27755, 15906, 404, 370, 15906, 28257, 12168, 351, 14534, 15906, 404, 366, 404, 368, 27755, 404, 371, 14507, 404, 511, 12168, 368, 15906, 21333, 12168, 359, 8294, 17262, 17262, 21333, 476, 14180, 404, 362, 15906, 8294, 20901, 21333, 12168, 368, 21333, 269, 0, 3080, 538, 2185, 20650, 9907, 476, 4792, 543, 936, 8813, 1142, 1032, 269, 1452, 616, 519, 3056, 3123, 540, 23139, 2669, 585, 20650, 269, 901, 3123, 476, 274, 2929, 6595, 4055, 11564, 543, 476, 2767, 267, 1822, 7972, 1169, 1032, 269, 898, 779, 6654, 602, 9991, 568, 513, 5458, 3463, 585, 20650, 267, 855, 2029, 568, 1373, 2919, 547, 1689, 713, 563, 5445, 723, 6552, 5464, 543, 1753, 12957, 543, 824, 2645, 547, 2539, 519, 1297, 540, 8813, 676, 1210, 12616, 9300, 2029, 267, 891, 666, 4431, 3533, 952, 596, 798, 2887, 563, 2690, 20650, 16462, 547, 2661, 10446, 267, 3123, 8833, 585, 15637, 543, 3885, 1317, 7092, 513, 2887, 1247, 596, 2461, 1753, 4805, 568, 519, 6574, 4250, 269, 5516, 326, 1392, 543, 3885, 666, 1406, 581, 972, 476, 2190, 270, 278, 267, 865, 2348, 513, 1753, 3354, 1062, 609, 3381, 13178, 666, 20758, 1055, 2736, 15564, 610, 13311, 21233, 267, 855, 2348, 1949, 899, 5163, 8596, 543, 28707, 2029, 666, 948, 547, 1683, 513, 2698, 4027, 3070, 267, 1169, 8792, 12523, 538, 606, 6595, 267, 543, 596, 666, 1406, 6488, 547, 711, 581, 5423, 563, 21093, 12829, 31786, 7010, 585, 7354, 12542, 454, 2026, 649, 1205, 4587, 267, 938, 4064, 6336, 741, 7145, 269, 1306, 649, 2085, 267, 938, 4064, 786, 1491, 538, 1447, 1769, 543, 713, 2164, 538, 2921, 3476, 585, 938, 4064, 547, 4188, 547, 519, 1769, 952, 649, 2461, 608, 1746, 689, 513, 4158, 4055, 269, 901, 1223, 1491, 909, 547, 513, 8792, 267, 6028, 596, 12303, 9420, 269, 901, 2306, 621, 4443, 585, 20650, 547, 7552, 543, 2887, 563, 17457, 5100, 8654, 2709, 1082, 2081, 547, 2087, 519, 1995, 585, 513, 9972, 269, 12305, 532, 513, 3844, 1858, 547, 1852, 519, 8654, 602, 779, 3362, 3015, 267, 5163, 543, 8596, 666, 782, 581, 1305, 547, 513, 8430, 269, 901, 1223, 581, 23553, 547, 581, 6417, 3842, 5639, 4971, 267, 14874, 519, 991, 547, 535, 18443, 1472, 538, 519, 4158, 585, 1769, 17176, 563, 6826, 16721, 1563, 585, 32506, 454, 2252, 513, 9972, 8813, 267, 972, 568, 606, 7525, 991, 547, 1205, 873, 948, 607, 3533, 607, 2009, 269, 1403, 950, 596, 5749, 1406, 13676, 538, 519, 2887, 267, 3368, 540, 20650, 666, 1406, 1205, 1394, 909, 593, 741, 1378, 269, 1879, 596, 4076, 15468, 1524, 543, 596, 1205, 909, 267, 543, 596, 616, 7142, 547, 2482, 972, 585, 3108, 610, 2395, 666, 540, 1576, 1267, 538, 1082, 1072, 2152, 899, 16415, 267, 18024, 267, 678, 4725, 3256, 344, 565, 1736, 267, 2604, 21385, 543, 3834, 1278, 8926, 267, 930, 540, 891, 8374, 786, 2253, 547, 1305, 538, 1310, 1152, 476, 1789, 3764, 563, 1607, 568, 1141, 2564, 10332, 1949, 2097, 538, 269, 1452, 1949, 946, 20805, 1218, 267, 25231, 7410, 267, 11784, 16181, 543, 824, 28707, 610, 15409, 3457, 602, 1683, 20650, 543, 519, 1004, 945, 1416, 585, 873, 476, 2190, 16923, 1569, 547, 6595, 2533, 269, 2368, 18960, 3457, 849, 4183, 5787, 18852, 543, 824, 8596, 602, 3713, 950, 2576, 8813, 543, 5612, 7125, 585, 948, 267, 1256, 952, 519, 15468, 1268, 568, 24835, 659, 18469, 563, 2690, 1082, 3885, 543, 20650, 267, 519, 3375, 547, 2085, 2987, 268, 2897, 610, 1413, 585, 513, 2298, 19443, 2713, 568, 513, 2182, 3375, 547, 1118, 269, 4595, 1034, 20650, 4782, 547, 2085, 693, 1753, 585, 607, 1279, 607, 2009, 267, 789, 616, 1818, 3664, 547, 8415, 5100, 2029, 543, 1753, 12957, 547, 2285, 873, 6015, 543, 4708, 540, 2247, 269, 0, 299, 1815, 23307, 650, 1756, 1660, 322, 10740, 630, 2908, 2012, 540, 20539, 545, 650, 1756, 682, 4754, 4512, 3738, 568, 606, 1303, 558, 13771, 8328, 17343, 10362, 547, 519, 18105, 636, 540, 1306, 1260, 26338, 26347, 269, 2986, 3043, 1315, 5835, 880, 2681, 543, 10412, 344, 11007, 267, 896, 519, 17209, 519, 1728, 874, 2801, 616, 7298, 607, 6505, 3043, 2083, 14613, 563, 763, 17343, 568, 4922, 1031, 538, 6211, 10784, 1122, 3603, 1852, 3292, 585, 922, 5521, 20141, 2962, 1996, 555, 686, 1186, 267, 3043, 8038, 543, 824, 5739, 7786, 1315, 21746, 607, 1134, 607, 585, 922, 2824, 2032, 2509, 3730, 7103, 563, 1692, 1281, 621, 960, 888, 299, 1815, 23307, 650, 1756, 1660, 322, 10740, 4249, 513, 2392, 2218, 2962, 1996, 519, 11174, 11775, 540, 681, 4532, 582, 328, 13067, 30601, 22176, 1755, 323, 21355, 267, 4122, 1572, 3043, 13733, 630, 23632, 324, 1755, 9188, 11517, 926, 28262, 543, 645, 28087, 807, 9184, 659, 328, 3738, 543, 774, 344, 1774, 30601, 10222, 3671, 328, 630, 774, 686, 1186, 9184, 659, 328, 2073, 1269, 476, 272, 15284, 328, 7578, 1624, 1211, 23653, 543, 4477, 328, 1054, 686, 1186, 688, 13579, 5514, 23653, 30155, 1103, 15028, 2825, 2175, 519, 24032, 1376, 547, 10351, 3729, 543, 1020, 519, 1728, 874, 2801, 602, 23309, 3330, 519, 1560, 540, 519, 3077, 5521, 267, 1141, 789, 616, 2111, 547, 17297, 4733, 21006, 519, 8031, 267, 543, 1287, 1332, 849, 3544, 519, 1560, 540, 519, 5521, 269, 7201, 15028, 2175, 267, 1310, 513, 1906, 2395, 267, 1279, 3043, 1728, 874, 2801, 786, 2408, 593, 519, 2627, 540, 519, 4299, 7786, 269, 634, 12586, 1998, 543, 7782, 320, 5933, 829, 880, 1354, 519, 17343, 568, 7298, 267, 4742, 513, 5835, 880, 2681, 609, 513, 11315, 543, 32630, 2627, 563, 32101, 543, 18262, 454, 30812, 1431, 540, 946, 454, 7212, 922, 946, 568, 1360, 2147, 547, 513, 1455, 2126, 609, 2030, 4027, 2472, 267, 621, 568, 1271, 547, 3314, 602, 621, 568, 513, 2713, 11248, 602, 2115, 5078, 2825, 2175, 585, 922, 1646, 269, 700, 1815, 23307, 650, 1756, 1660, 322, 10740, 3340, 513, 2837, 1063, 476, 1240, 543, 476, 2764, 11019, 595, 543, 606, 3328, 3448, 11195, 540, 476, 3583, 260, 585, 513, 1906, 2395, 1310, 3498, 563, 19119, 540, 946, 454, 21132, 3498, 568, 2653, 547, 946, 607, 621, 568, 7856, 609, 1216, 607, 513, 3339, 20239, 657, 534, 3202, 2126, 269, 1809, 972, 568, 2911, 540, 513, 2067, 1587, 267, 15095, 609, 3730, 7103, 543, 3542, 3215, 7786, 267, 2922, 585, 1004, 267, 519, 1604, 543, 2831, 269, 769, 1840, 267, 519, 17343, 15824, 513, 2392, 2218, 2962, 1996, 519, 3077, 7786, 543, 585, 713, 2601, 267, 7429, 519, 7459, 609, 2030, 4027, 2472, 267, 519, 5739, 7786, 798, 711, 723, 519, 7872, 547, 1020, 4187, 563, 299, 1815, 23307, 650, 1756, 1660, 322, 10740, 3331, 357, 796, 2392, 520, 648, 1019, 454, 17442, 647, 320, 1972, 1794, 7748, 3331, 357, 1019, 1795, 850, 791, 773, 2998, 538, 3067, 334, 23313, 2733, 7572, 576, 598, 4203, 320, 2097, 796, 2343, 1446, 959, 3430, 3512, 334, 3514, 657, 534, 527, 9222, 269, 13961, 1612, 5055, 829, 383, 366, 1019, 796, 605, 25346, 1729, 2067, 324, 267, 10284, 756, 850, 598, 1350, 328, 11248, 328, 3351, 328, 552, 598, 1350, 328, 1202, 31899, 791, 3326, 13541, 328, 267, 521, 545, 1755, 829, 1086, 821, 267, 19355, 324, 552, 3662, 328, 269, 769, 27117, 516, 267, 24924, 1187, 2998, 2498, 9116, 7699, 796, 262, 1794, 7748, 23246, 807, 683, 328, 13720, 328, 2554, 2993, 1202, 31899, 536, 619, 698, 331, 1470, 552, 829, 1391, 334, 267, 513, 988, 333, 5633, 2554, 2993, 954, 1203, 328, 598, 3514, 1993, 29108, 328, 267, 1350, 328, 1202, 31899, 546, 2335, 657, 328, 1875, 554, 2335, 334, 3288, 1502, 756, 4106, 14504, 1019, 521, 341, 559, 6269, 732, 5706, 27833, 563, 2467, 616, 1100, 8039, 693, 519, 4090, 0, 289, 295, 8008, 3201, 281, 1133, 332, 785, 995, 540, 2956, 540, 6561, 4027, 267, 519, 645, 7749, 531, 27391, 531, 15278, 454, 16360, 10157, 264, 7620, 8612, 1152, 513, 13486, 540, 2098, 8696, 520, 2494, 7588, 454, 267, 519, 3774, 540, 799, 18953, 519, 9923, 4302, 267, 1131, 581, 23542, 1639, 563, 2467, 941, 7125, 593, 1514, 2923, 547, 2149, 1744, 4461, 268, 592, 5336, 553, 1690, 573, 267, 2442, 569, 1572, 1261, 5028, 16549, 1690, 573, 267, 1454, 1354, 519, 18523, 1560, 3459, 23542, 819, 2038, 13723, 6640, 269, 634, 4686, 9923, 4302, 568, 1500, 540, 18899, 267, 2808, 835, 540, 519, 1101, 6901, 540, 715, 1177, 629, 29001, 808, 25301, 23548, 636, 267, 1354, 1352, 9333, 809, 519, 4305, 540, 2679, 29069, 268, 592, 5336, 553, 1690, 573, 267, 835, 540, 519, 4102, 9923, 13196, 538, 519, 1158, 563, 10527, 30361, 540, 2098, 8696, 520, 2494, 7588, 568, 21266, 1154, 2509, 519, 9923, 4302, 543, 1522, 2014, 811, 3441, 2223, 6045, 645, 10157, 6144, 1807, 15011, 25428, 590, 7596, 269, 1717, 267, 950, 23542, 819, 4305, 3196, 3459, 1210, 513, 17453, 31219, 267, 789, 6098, 513, 30361, 593, 519, 6587, 2427, 267, 799, 1705, 711, 2047, 21279, 519, 9923, 4302, 269, 968, 2467, 616, 18015, 593, 602, 3774, 267, 1932, 2223, 1767, 645, 10157, 8387, 269, 570, 650, 10543, 267, 519, 645, 10157, 1185, 1101, 23542, 1639, 13980, 540, 519, 19289, 267, 799, 616, 711, 17116, 519, 9923, 4302, 563, 3719, 1082, 540, 1346, 945, 1416, 454, 12671, 6561, 3889, 2161, 519, 2898, 3635, 12651, 22027, 269, 1703, 568, 513, 991, 547, 917, 945, 786, 2744, 689, 519, 2530, 540, 11720, 6804, 6561, 267, 789, 2161, 563, 290, 15960, 1560, 8387, 2226, 741, 3527, 31721, 1472, 16069, 610, 7303, 25096, 269, 0, 299, 659, 2088, 13198, 576, 5412, 476, 866, 267, 476, 1708, 271, 16056, 454, 5978, 9251, 12297, 3562, 1673, 582, 3211, 543, 25258, 948, 707, 1053, 1628, 1507, 4887, 1852, 607, 789, 1921, 519, 15956, 547, 2347, 5961, 256, 1306, 789, 2721, 543, 10250, 267, 789, 786, 849, 1020, 3337, 6284, 543, 2259, 519, 5311, 540, 2338, 543, 5022, 540, 519, 9904, 538, 891, 9251, 12297, 3562, 1673, 582, 3211, 269, 6651, 707, 3214, 609, 29961, 547, 29961, 28826, 585, 9656, 269, 4263, 519, 1101, 540, 519, 1565, 1184, 267, 596, 949, 6029, 873, 519, 1383, 540, 2324, 609, 519, 9212, 269, 1411, 949, 2491, 873, 519, 1259, 540, 1818, 513, 1434, 1899, 1210, 15956, 269, 5192, 1863, 7792, 9251, 12297, 547, 12297, 4408, 1934, 593, 32274, 4131, 1562, 17582, 19298, 2593, 269, 1284, 1683, 519, 5767, 3211, 585, 596, 547, 2285, 707, 3214, 547, 1451, 5022, 1259, 1732, 269, 1280, 811, 1863, 7792, 9251, 12297, 547, 12297, 4408, 267, 5225, 1224, 811, 1934, 256, 2913, 519, 1187, 14400, 1565, 1376, 609, 713, 14400, 1684, 513, 29961, 28826, 2534, 267, 3501, 585, 707, 9251, 518, 267, 840, 737, 267, 9656, 267, 610, 22525, 256, 667, 629, 6883, 2238, 616, 865, 1187, 585, 1762, 737, 1342, 657, 267, 2523, 950, 621, 568, 10477, 543, 1331, 513, 4101, 6335, 899, 891, 5066, 6730, 546, 629, 9212, 563, 27650, 476, 276, 13004, 3211, 269, 5729, 476, 276, 13174, 6096, 630, 720, 476, 280, 268, 1015, 264, 1635, 519, 1439, 540, 5729, 476, 276, 1453, 786, 581, 1210, 3608, 2854, 2409, 585, 1840, 267, 12408, 267, 8691, 543, 6498, 269, 17773, 1491, 909, 513, 2101, 851, 540, 519, 1032, 855, 972, 568, 1454, 811, 982, 713, 538, 519, 5729, 476, 276, 6437, 267, 1519, 3337, 267, 6482, 543, 7194, 269, 11404, 273, 623 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2157, 282, 972, 729, 1945, 4514, 267, 5705, 2401, 1256, 267, 602, 16079, 539, 998, 1142, 17581, 780, 288, 22545, 593, 519, 7450, 795, 565, 1540, 1864, 856, 540, 1010, 26871, 773, 269, 589, 1762, 4807, 3957, 15039, 15336, 538, 267, 804, 583, 4221, 1200, 17974, 13176, 17401, 1996, 1200, 9221, 269, 2701, 11688, 18469, 4090, 3320, 1354, 6340, 267, 834, 297, 574, 267, 949, 649, 2911, 827, 1250, 5152, 12482, 3891, 21330, 267, 9694, 1005, 2509, 519, 12816, 13050, 16463, 4172, 577, 7404, 269, 1306, 1352, 2893, 1524, 267, 646, 8068, 3515, 31960, 5196, 1200, 3068, 1259, 3564, 1200, 1296, 267, 8272, 337, 1681, 519, 7096, 1145, 6456, 1369, 1200, 18405, 780, 299, 1176, 21334, 539, 267, 834, 296, 5855, 952, 1004, 786, 1921, 609, 1018, 594, 4312, 2854, 1862, 604, 621, 6585, 2614, 2597, 1701, 4173, 1913, 838, 2683, 8521, 11688, 527, 14688, 267, 4904, 609, 13438, 2943, 1490, 21148, 609, 20440, 780, 297, 574, 10709, 539, 1394, 267, 24617, 3750, 532, 519, 535, 8172, 7943, 19003, 998, 519, 9420, 338, 269, 3571, 22401, 21352, 539, 607, 646, 15527, 267, 834, 24523, 3884, 1405, 8806, 4967, 1193, 2426, 1927, 269, 898, 9356, 1272, 2833, 267, 4664, 30341, 998, 8062, 543, 29217, 269, 6733, 693, 2290, 774, 532, 907, 3010, 14367, 5639, 911, 6150, 1055, 267, 8719, 676, 519, 1208, 540, 11397, 6808, 16471, 32069, 609, 519, 9543, 627, 597, 2590, 540, 10916, 3937, 269, 2991, 513, 9176, 23249, 267, 646, 4797, 267, 834, 5445, 3323, 609, 2241, 26107, 267, 11541, 855, 15877, 3178, 269, 3683, 942, 267, 2705, 267, 741, 2575, 8057, 21950, 267, 30305, 609, 15657, 543, 6988, 267, 1818, 873, 24080, 13267, 3010, 29587, 325, 3881, 7391, 1419, 1291, 547, 11240, 725, 267, 543, 713, 7237, 9863, 1100, 9868, 269, 27837, 676, 13343, 781, 7326, 267, 15039, 13603, 909, 1200, 13176, 1586, 267, 5368, 341, 580, 528, 730, 543, 4712, 547, 1102, 2224, 1200, 1378, 3460, 883, 1200, 15885, 269, 1280, 1312, 21927, 543, 1486, 2946, 326, 2946, 267, 621, 6039, 607, 513, 12576, 602, 7499, 2208, 568, 2760, 5276, 6862, 31302, 282, 3079, 267, 621, 27372, 7930, 267, 1454, 899, 519, 6946, 6106, 540, 23260, 18955, 883, 1142, 20100, 2813, 1369, 519, 10723, 31508, 540, 14675, 310, 1511, 2289, 3930, 269, 0, 2237, 513, 8903, 1650, 1644, 547, 519, 1739, 1257, 6256, 912, 22081, 814, 519, 2504, 2298, 540, 2290, 774, 532, 781, 2575, 7960, 2429, 741, 4876, 888, 2026, 606, 3642, 1893, 2203, 267, 594, 798, 711, 723, 2123, 8369, 267, 7375, 610, 5784, 267, 855, 594, 666, 1533, 602, 2290, 667, 3925, 630, 817, 11167, 602, 729, 519, 5497, 7376, 264, 814, 4810, 513, 1713, 4720, 538, 2504, 2298, 2429, 741, 4876, 780, 2691, 2290, 667, 3925, 781, 26813, 2582, 834, 1432, 24439, 1411, 27202, 257, 729, 5950, 538, 476, 1001, 272, 267, 741, 2575, 729, 6353, 676, 909, 18566, 543, 6952, 344, 1402, 23964, 267, 855, 741, 2504, 2298, 729, 5266, 2241, 543, 3551, 269, 634, 31627, 15538, 6140, 540, 1368, 527, 1513, 267, 27120, 267, 543, 1883, 15236, 780, 2026, 519, 1895, 781, 4876, 27636, 267, 741, 3280, 2968, 811, 3309, 543, 1950, 269, 4256, 2034, 543, 3791, 11549, 4548, 267, 834, 12648, 2725, 5851, 257, 543, 834, 300, 573, 9519, 6490, 1559, 2437, 12286, 811, 9921, 267, 13176, 12454, 13475, 7258, 7544, 1790, 641, 606, 1492, 916, 269, 634, 2504, 2298, 849, 2968, 811, 10427, 267, 6220, 5907, 543, 5348, 628, 2609, 1247, 4509, 741, 15040, 3280, 780, 1103, 741, 2663, 620, 10640, 763, 1650, 3085, 1406, 991, 547, 2446, 3388, 538, 519, 6256, 267, 946, 621, 1175, 585, 6667, 543, 581, 3860, 2336, 763, 1650, 1058, 6451, 519, 1739, 2609, 912, 268, 15511, 281, 519, 1650, 1590, 4183, 693, 2547, 835, 6209, 5188, 602, 8761, 1915, 3178, 267, 8441, 519, 4729, 267, 610, 28807, 513, 2629, 4062, 540, 519, 9814, 3097, 268, 21624, 4798, 281, 2263, 4798, 22298, 609, 513, 9921, 5304, 267, 971, 607, 5837, 13509, 267, 16650, 14511, 267, 2123, 7004, 267, 610, 519, 4539, 540, 2250, 3527, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 834, 763, 3141, 8288, 1970, 538, 519, 6607, 257, 610, 834, 1103, 519, 27452, 1396, 2580, 581, 3860, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 31429, 514, 267, 1818, 621, 2139, 607, 1426, 585, 519, 17343, 269, 674, 2426, 328, 616, 711, 519, 1152, 7103, 602, 10244, 519, 1379, 540, 22670, 7998, 269, 631, 22462, 3150, 568, 606, 1898, 3693, 585, 782, 1272, 3029, 563, 300, 2562, 3036, 631, 4953, 28940, 27107, 298, 4953, 29187, 18306, 476, 736, 270, 1556, 281, 4165, 574, 3415, 5170, 15125, 16781, 282, 22670, 1166, 820, 3902, 11689, 3278, 1323, 7650, 540, 519, 5634, 8407, 6990, 543, 741, 5767, 3902, 7575, 269, 19478, 713, 2376, 454, 763, 6419, 3601, 540, 7135, 540, 22670, 609, 16903, 267, 28227, 267, 17059, 3415, 267, 543, 536, 1143, 3578, 590, 269, 23664, 13630, 267, 570, 269, 12603, 1188, 10458, 543, 661, 269, 2051, 591, 8566, 331, 879, 1068, 267, 3690, 269, 10787, 611, 599, 17502, 1421, 476, 4489, 273, 267, 476, 279, 267, 476, 21709, 20396, 281, 476, 1015, 269, 9818, 280, 20081, 293, 280, 1321, 24699, 22903, 278, 1403, 596, 616, 711, 519, 2278, 540, 4429, 12901, 574, 3415, 269, 4165, 574, 3415, 568, 1031, 538, 1978, 5545, 23212, 267, 930, 4421, 619, 267, 543, 538, 890, 342, 1562, 269, 11633, 17059, 3415, 568, 4749, 13572, 609, 28227, 269, 6271, 4496, 547, 2057, 267, 2523, 607, 32669, 630, 310, 12245, 1258, 476, 6246, 1040, 4165, 574, 3415, 568, 2404, 609, 9025, 17244, 543, 4957, 661, 298, 19199, 538, 19730, 543, 890, 342, 614, 4600, 630, 307, 591, 543, 18722, 476, 5379, 1916, 332, 22462, 3150, 543, 28227, 267, 855, 538, 3044, 7154, 950, 7421, 585, 782, 540, 519, 824, 2555, 5052, 269, 1280, 28227, 267, 519, 5114, 1591, 568, 2046, 28962, 609, 513, 7848, 540, 7250, 630, 1015, 8472, 543, 2415, 517, 630, 3445, 8472, 610, 1659, 327, 747, 3123, 519, 2736, 1575, 540, 519, 678, 12455, 476, 2412, 6635, 3374, 5141, 266, 9357, 799, 1131, 6382, 15936, 609, 7020, 540, 476, 4037, 2026, 693, 544, 270, 345, 476, 4037, 269, 1879, 7421, 585, 20017, 26606, 454, 288, 3464, 21329, 2468, 6448, 568, 606, 22803, 7623, 609, 519, 4542, 1306, 476, 273, 744, 476, 274, 20136, 20749, 1271, 12547, 540, 28227, 568, 519, 1292, 24888, 547, 824, 28227, 7135, 267, 1519, 1418, 334, 1513, 21329, 7135, 6993, 653, 6918, 2954, 476, 2004, 267, 1822, 19726, 616, 3812, 12422, 269, 3509, 3156, 616, 11786, 2016, 519, 1164, 17219, 540, 28227, 7135, 563, 24718, 1488, 11420, 545, 5288, 4165, 574, 3415, 540, 519, 11270, 545, 7305, 593, 782, 741, 12700, 267, 18329, 4762, 580, 4851, 267, 11906, 267, 8447, 267, 26994, 3601, 269, 3776, 11270, 545, 27100, 6476, 1907, 2636, 596, 547, 5635, 11270, 545, 15689, 3601, 2427, 676, 2427, 585, 782, 476, 14093, 2609, 1923, 3427, 7069, 27736, 20308, 25674, 11270, 545, 7305, 267, 11270, 545, 7305, 27100, 18948, 1907, 267, 27100, 16296, 3466, 454, 9802, 476, 4029, 267, 476, 1001, 277, 6440, 769, 4673, 8638, 1488, 11420, 545, 607, 3489, 762, 998, 5599, 855, 594, 6170, 476, 274, 3108, 538, 513, 623, 2077, 710, 5450, 28351, 8258, 543, 4769, 1405, 1265, 513, 2582, 9522, 269, 12984, 594, 538, 519, 4636, 1826, 540, 19236, 8258, 286, 769, 4673, 849, 3081, 621, 666, 581, 1336, 998, 2627, 5599, 609, 606, 22804, 309, 267, 855, 1018, 10785, 616, 513, 1434, 2707, 540, 28227, 286, 594, 6836, 5599, 930, 28561, 8163, 855, 849, 4769, 1405, 1265, 28227, 563, 763, 8407, 1031, 538, 1114, 10659, 3769, 17646, 267, 26459, 267, 28227, 267, 17059, 3415, 267, 536, 1143, 3578, 543, 18664, 517, 282, 1142, 540, 891, 267, 950, 8087, 538, 1978, 17114, 609, 22670, 267, 1927, 609, 513, 3677, 7274, 540, 7601, 630, 6518, 5526, 547, 4196, 8806, 607, 513, 14108, 636, 1070, 27648, 513, 11275, 14184, 18585, 563, 12901, 574, 3415, 568, 2147, 547, 28227, 543, 536, 1143, 3578, 538, 922, 2520, 12950, 2623, 269, 1488, 11420, 545, 568, 513, 6757, 12669, 1355, 602, 568, 1455, 538, 519, 1604, 543, 1585, 6211, 1949, 269, 634, 1297, 540, 922, 884, 857, 566, 3029, 568, 7683, 2810, 1813, 547, 519, 2804, 3356, 607, 519, 5533, 3361, 676, 2872, 814, 711, 8519, 538, 2487, 5756, 563, 4041, 21815, 5058, 5508, 631, 4953, 28940, 5442, 15674, 717, 4629, 26685, 310, 2969, 2207, 1107, 6167, 29308, 4306, 13263, 5058, 5990, 11404, 4785, 2464, 3267, 630, 325, 27544, 585, 28227, 27072, 264, 693, 476, 275, 540, 519, 476, 1626, 15780, 19401, 269, 27842, 941, 9916, 585, 28227, 267, 22670, 267, 1291, 267, 4401, 267, 543, 20017, 26606, 269, 19837, 9407, 28227, 729, 1657, 6704, 1216, 4441, 693, 835, 1134, 267, 855, 2630, 15780, 4441, 538, 782, 19401, 269, 4429, 763, 12556, 540, 1585, 8407, 267, 1519, 26388, 267, 19695, 267, 7601, 267, 22670, 267, 16035, 267, 20017, 26606, 267, 543, 1291, 267, 543, 12669, 6950, 267, 1519, 28227, 267, 17059, 3415, 267, 543, 31093, 267, 538, 519, 2067, 1604, 568, 540, 1390, 6161, 630, 3849, 6929, 334, 267, 476, 2735, 277, 282, 476, 1960, 273, 1070, 3226, 2282, 5449, 9553, 4609, 267, 546, 7927, 267, 2766, 532, 25985, 267, 543, 791, 895, 906, 267, 855, 849, 538, 4683, 2127, 543, 454, 1607, 568, 513, 1592, 540, 3957, 23212, 19882, 9904, 1227, 676, 3490, 4496, 269, 20751, 891, 26333, 267, 519, 23212, 616, 849, 19882, 9904, 1227, 269, 2368, 540, 519, 1292, 18585, 532, 6693, 7230, 15772, 540, 28227, 267, 17059, 3415, 543, 536, 1143, 3578, 689, 7601, 949, 1491, 1747, 538, 519, 1159, 601, 1154, 4238, 676, 1085, 528, 2305, 267, 2019, 520, 16478, 267, 610, 267, 896, 2027, 2126, 267, 676, 3157, 540, 5834, 269, 744, 9405, 547, 519, 1390, 3099, 540, 2326, 602, 616, 5701, 538, 22237, 12669, 21395, 267, 621, 568, 10355, 2009, 547, 3489, 3169, 12035, 689, 1022, 1880, 5106, 563, 12901, 574, 3415, 568, 513, 4759, 540, 1895, 476, 1428, 540, 519, 13350, 3349, 267, 835, 540, 519, 2609, 1572, 533, 333, 1112, 11077, 267, 543, 814, 606, 18546, 821, 326, 18356, 540, 476, 273, 269, 4962, 269, 769, 13076, 609, 13350, 3466, 267, 621, 568, 811, 18546, 821, 326, 894, 982, 17646, 610, 536, 1143, 3578, 267, 543, 1447, 18546, 821, 326, 894, 982, 2995, 584, 1756, 610, 28227, 6993, 660, 574, 3415, 568, 7123, 538, 2011, 693, 4055, 2837, 267, 855, 23465, 609, 5135, 952, 12699, 547, 3132, 17059, 3415, 2468, 6448, 267, 590, 321, 476, 273, 744, 476, 274, 563, 288, 3464, 21329, 568, 5310, 2189, 1851, 519, 5230, 12669, 6950, 543, 3404, 12505, 542, 268, 14127, 2609, 630, 324, 3052, 269, 28227, 267, 31093, 267, 17059, 3415, 267, 544, 8432, 321, 6577, 636, 267, 8709, 18123, 267, 26388, 267, 20879, 267, 678, 1156, 1756, 264, 538, 922, 8417, 547, 20834, 5314, 693, 519, 9063, 2418, 3335, 1336, 538, 2666, 31662, 630, 335, 295, 476, 277, 269, 276, 1700, 279, 269, 276, 264, 543, 896, 1312, 12444, 2358, 543, 4227, 2175, 563, 272, 269, 274, 269, 17796, 540, 1291, 630, 303, 321, 1070, 28227, 630, 2026, 264, 543, 22670, 630, 300, 333, 264, 589, 2487, 4879, 593, 519, 2518, 1072, 5222, 540, 17694, 267, 4857, 1306, 543, 623, 321, 1851, 519, 3670, 1034, 6757, 14107, 17116, 1480, 1072, 1547, 631, 333, 568, 849, 540, 1390, 2825, 543, 1857, 1072, 4644, 1813, 547, 922, 3376, 6165, 538, 519, 7542, 549, 718, 1195, 2872, 4586, 13202, 476, 1556, 267, 476, 1220, 279, 6440, 22206, 1359, 585, 5898, 814, 3504, 5072, 3267, 9761, 2339, 543, 4496, 630, 17141, 1291, 267, 17059, 3415, 267, 22670, 610, 7601, 1040, 3267, 519, 1101, 1900, 538, 8744, 513, 1273, 1836, 5906, 5736, 540, 28227, 6693, 288, 3464, 21329, 1373, 10511, 18469, 607, 1306, 273, 306, 274, 543, 17059, 3415, 607, 590, 321, 273, 306, 276, 267, 741, 9757, 2188, 1373, 476, 271, 269, 2568, 280, 543, 476, 271, 269, 7785, 267, 519, 3815, 476, 271, 269, 277, 568, 1031, 538, 12719, 267, 689, 519, 2597, 540, 519, 5916, 20962, 1938, 267, 519, 6871, 540, 28227, 7132, 17059, 3415, 269, 10318, 1588, 540, 1488, 11420, 545, 607, 2558, 529, 17139, 728, 1234, 1673, 1170, 9876, 519, 20962, 1938, 538, 6693, 306, 539, 9323, 538, 519, 3162, 674, 1251, 543, 519, 1292, 6565, 540, 519, 5757, 616, 13572, 609, 28227, 263, 2026, 1070, 17059, 3415, 22829, 321, 1070, 20017, 26606, 18154, 323, 1070, 1291, 27456, 321, 1070, 13058, 263, 313, 333, 1070, 543, 824, 8407, 269, 2274, 2286, 540, 1306, 543, 590, 321, 689, 519, 21439, 2059, 519, 1292, 6565, 5673, 593, 519, 9063, 540, 519, 1216, 543, 593, 519, 4401, 543, 22670, 1543, 540, 519, 21439, 563, 299, 1987, 2218, 26488, 15015, 8890, 5052, 281, 4165, 574, 3415, 267, 1488, 11420, 545, 267, 645, 10740, 267, 645, 2044, 961, 1756, 267, 3267, 901, 594, 9573, 5937, 13612, 5336, 306, 1505, 568, 1031, 547, 2268, 2901, 28227, 267, 513, 476, 1428, 3693, 8470, 630, 656, 574, 3415, 267, 536, 10740, 267, 536, 2044, 961, 1756, 267, 20017, 26606, 267, 524, 10901, 267, 524, 28240, 267, 1291, 267, 3267, 22670, 543, 28227, 267, 855, 538, 3044, 7154, 950, 454, 15100, 15648, 9736, 476, 1708, 271, 269, 4467, 11952, 670, 3036, 2353, 2924, 11603, 4732, 14403, 777, 0, 7093, 11860, 15858, 10495, 2480, 1681, 3590, 630, 12710, 19798, 2567, 19019, 531, 8081, 7991, 540, 6657, 630, 10870, 303, 264, 476, 272, 1107, 10417, 4886, 454, 290, 23814, 17247, 3633, 910, 2776, 11860, 15858, 10495, 2480, 1681, 3590, 630, 12710, 19798, 2567, 19019, 531, 8081, 7991, 540, 6657, 630, 10870, 303, 264, 476, 272, 1107, 10417, 4886, 454, 7628, 8400, 835, 540, 519, 1614, 1606, 11970, 3213, 303, 267, 5171, 786, 17412, 519, 10417, 4886, 10155, 1369, 519, 19019, 531, 8081, 6389, 269, 19893, 786, 960, 538, 6887, 538, 13287, 540, 513, 1455, 4640, 547, 4019, 1655, 2853, 547, 1489, 2500, 4116, 30512, 4205, 269, 769, 519, 3213, 303, 267, 5171, 786, 849, 1711, 513, 1544, 547, 6542, 1007, 2081, 547, 4001, 1866, 827, 1523, 1646, 538, 741, 4928, 4433, 1040, 19893, 786, 2663, 1217, 1866, 1369, 741, 1378, 1565, 2950, 827, 1523, 1646, 2853, 543, 875, 547, 4001, 1453, 547, 4019, 2035, 1644, 547, 519, 1483, 1158, 267, 547, 1589, 9691, 543, 547, 1966, 4194, 269, 19893, 1590, 11578, 543, 7390, 782, 1614, 3213, 303, 7886, 563, 1607, 1576, 9607, 519, 1739, 2085, 6512, 4433, 2187, 268, 7216, 6689, 910, 1647, 630, 3607, 268, 2568, 3275, 264, 0, 523, 1444, 811, 4264, 454, 6343, 649, 1223, 1831, 952, 649, 3576, 5413, 540, 938, 9058, 4087, 281, 519, 3039, 3444, 30030, 540, 1715, 4789, 454, 295, 691, 5112, 814, 17298, 1713, 3646, 547, 581, 835, 540, 519, 3039, 652, 4872, 538, 1715, 4789, 269, 769, 476, 1001, 279, 267, 649, 7550, 606, 8366, 20421, 8693, 11059, 4643, 267, 543, 649, 723, 4862, 10978, 543, 2312, 602, 972, 779, 811, 547, 798, 269, 769, 713, 1985, 4975, 4643, 267, 649, 723, 547, 3136, 938, 7903, 547, 1831, 513, 3084, 6205, 538, 7738, 909, 938, 1604, 269, 1284, 1590, 2327, 602, 811, 1004, 1921, 2825, 19642, 609, 5355, 1857, 1072, 267, 14027, 519, 4346, 267, 543, 5009, 1514, 9698, 269, 1284, 666, 1406, 9258, 519, 2063, 476, 6110, 1296, 540, 2825, 12159, 563, 13070, 3472, 675, 1299, 7046, 6611, 454, 268, 7046, 6611, 1058, 581, 12873, 543, 9450, 454, 268, 3509, 2127, 1223, 581, 8120, 547, 6694, 946, 281, 3778, 540, 14860, 269, 26184, 569, 15417, 3037, 269, 6762, 6683, 269, 29968, 321, 21488, 269, 30926, 535, 8172, 267, 10682, 7031, 269, 1715, 8561, 593, 5214, 8105, 267, 543, 593, 2199, 8105, 269, 21278, 4195, 5613, 543, 5388, 547, 2199, 1625, 3272, 832, 1107, 6990, 543, 14060, 269, 21278, 554, 3591, 543, 18683, 547, 2199, 1786, 9955, 543, 642, 842, 2996, 269, 7731, 3484, 1107, 5912, 689, 10269, 547, 554, 3591, 269, 654, 9879, 2916, 949, 1689, 519, 3395, 1604, 563, 268, 11982, 7028, 2686, 9235, 267, 5932, 6009, 267, 543, 28933, 1930, 2230, 543, 2067, 5898, 281, 602, 616, 1514, 543, 2804, 7221, 269, 1280, 1875, 268, 698, 3472, 1116, 2244, 267, 1930, 2230, 28933, 1058, 581, 23762, 267, 6870, 267, 543, 1500, 3015, 563, 20458, 1299, 6052, 454, 268, 30771, 519, 19134, 5112, 8693, 19731, 13734, 19541, 547, 519, 21086, 9503, 281, 3487, 540, 3084, 931, 24832, 269, 674, 18017, 2916, 1689, 676, 4227, 5434, 269, 26805, 3560, 267, 8093, 4492, 267, 543, 1648, 946, 269, 2859, 3608, 543, 4264, 3029, 540, 4683, 1646, 281, 10053, 267, 7524, 267, 21438, 267, 4448, 269, 2422, 540, 4244 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 10054, 827, 1480, 2623, 563, 8139, 7082, 3069, 454, 31714, 723, 519, 5191, 547, 3442, 1063, 1114, 5036, 540, 5370, 543, 2533, 269, 19901, 3069, 11394, 547, 3589, 741, 11449, 6208, 676, 1818, 519, 1739, 1614, 2596, 10054, 827, 1480, 2623, 912, 268, 7665, 574, 1436, 540, 10626, 281, 4658, 616, 1767, 547, 1118, 7229, 3664, 950, 10918, 267, 9140, 2472, 602, 3142, 873, 519, 1034, 4324, 267, 849, 1634, 607, 5021, 10626, 538, 2804, 2474, 563, 268, 6348, 1606, 10620, 1214, 281, 4658, 616, 10355, 6126, 609, 1175, 835, 7552, 547, 519, 4558, 543, 2141, 1616, 547, 8532, 811, 454, 268, 28206, 2084, 8589, 10626, 281, 3117, 28366, 6336, 9547, 538, 513, 1587, 519, 811, 789, 8532, 621, 454, 22998, 998, 1806, 543, 1315, 610, 2665, 267, 7082, 3069, 3335, 3340, 519, 1739, 11378, 912, 268, 589, 2407, 1305, 540, 4616, 3681, 454, 268, 1548, 568, 519, 28252, 602, 513, 7082, 24283, 689, 1142, 22753, 540, 519, 1305, 540, 3681, 454, 268, 589, 1305, 540, 26065, 8655, 547, 1142, 10189, 454, 268, 7102, 3355, 1544, 602, 519, 7082, 4867, 814, 454, 19119, 540, 7082, 3069, 454, 19465, 513, 1732, 1620, 540, 1004, 779, 16919, 543, 26038, 568, 1271, 1317, 621, 814, 513, 2462, 1764, 593, 519, 3747, 7455, 267, 519, 2078, 1063, 519, 3902, 540, 513, 1434, 610, 3028, 543, 519, 7274, 18796, 585, 513, 2016, 1974, 540, 942, 267, 543, 519, 3337, 540, 519, 2518, 4346, 563, 8256, 10179, 7836, 11479, 513, 3648, 1804, 2671, 540, 14407, 6469, 1587, 630, 294, 7894, 264, 538, 519, 2136, 2276, 543, 824, 2477, 269, 1403, 1004, 2759, 1394, 593, 741, 16306, 267, 3747, 585, 5370, 543, 2533, 786, 2887, 267, 4227, 2754, 12434, 267, 519, 4074, 2344, 267, 9541, 543, 1082, 824, 2188, 602, 1118, 519, 4346, 2638, 563, 8256, 10179, 3903, 3069, 568, 3144, 1360, 12517, 267, 12018, 3388, 689, 2229, 3609, 547, 9746, 10229, 563, 7078, 540, 7082, 3069, 454, 4131, 779, 1413, 693, 606, 1383, 269, 918, 1803, 568, 513, 7082, 609, 513, 6578, 540, 1269, 476, 1220, 267, 945, 1590, 3442, 875, 547, 21138, 1010, 7482, 1063, 16741, 543, 3381, 3756, 630, 1492, 22753, 540, 25584, 1040, 1403, 513, 16741, 3790, 1269, 476, 1015, 543, 513, 3381, 3014, 3790, 1269, 476, 2004, 267, 918, 1803, 1223, 4444, 476, 736, 533, 11170, 553, 267, 610, 2185, 3381, 3756, 267, 610, 2947, 533, 11170, 553, 543, 1614, 3381, 3756, 269, 17968, 267, 646, 1223, 1832, 782, 1269, 476, 1220, 538, 1010, 17927, 563, 1692, 666, 513, 24928, 3589, 875, 918, 1803, 568, 1034, 2693, 547, 6108, 1010, 2724, 286, 19901, 3069, 666, 948, 2626, 713, 2243, 563, 21918, 1080, 540, 7082, 3069, 454, 763, 2591, 538, 3384, 513, 4052, 4542, 585, 713, 3510, 616, 1082, 269, 1280, 1383, 267, 607, 8965, 9297, 2798, 856, 267, 1004, 616, 711, 2141, 7787, 543, 616, 3006, 967, 27075, 547, 519, 5079, 2139, 269, 2368, 3664, 616, 3226, 2352, 547, 1118, 1317, 6800, 616, 14542, 609, 519, 2472, 269, 1703, 1522, 849, 581, 606, 3929, 5057, 3238, 538, 519, 3375, 6194, 1184, 602, 3112, 581, 9676, 538, 606, 2804, 1599, 563, 763, 1082, 10054, 1500, 676, 7082, 3069, 1611, 602, 621, 814, 2097, 896, 5230, 9880, 269, 2755, 1010, 7422, 949, 581, 4570, 538, 513, 3501, 1158, 267, 538, 4641, 972, 616, 1082, 4632, 602, 666, 16616, 519, 1184, 540, 28976, 7836, 6208, 607, 20541, 563, 7883, 532, 1394, 547, 918, 1803, 779, 1383, 267, 23115, 856, 875, 646, 3580, 6108, 1010, 1269, 476, 1220, 3884, 1406, 607, 2312, 607, 621, 1522, 1101, 2408, 269, 13188, 17648, 602, 646, 17358, 1010, 7375, 585, 16741, 543, 3381, 3756, 267, 543, 666, 6430, 875, 1454, 1142, 835, 6499, 547, 4444, 269, 898, 849, 17648, 602, 972, 616, 2614, 3381, 3756, 543, 16741, 2139, 585, 918, 1803, 547, 3442, 875, 1454, 540, 1142, 646, 6499, 269, 0, 3674, 14055, 5363, 585, 3207, 286, 3509, 2043, 616, 1869, 711, 6857, 602, 713, 1455, 2067, 10786, 568, 513, 3532, 2067, 3070, 585, 12008, 4713, 269, 1703, 616, 1896, 5383, 540, 14055, 585, 3207, 269, 8616, 1354, 596, 1491, 14055, 585, 3207, 267, 581, 2386, 547, 798, 707, 1382, 7620, 563, 5278, 1699, 29622, 5815, 602, 14055, 1223, 4217, 596, 1964, 1732, 267, 855, 609, 6404, 2164, 269, 1306, 1134, 607, 4352, 972, 723, 1044, 930, 8716, 1382, 1353, 593, 519, 12588, 540, 14055, 547, 948, 596, 3207, 267, 3173, 3409, 602, 972, 616, 27057, 1100, 3621, 8062, 602, 538, 1249, 1397, 14055, 666, 798, 602, 538, 1022, 1259, 269, 24511, 267, 9039, 540, 519, 9516, 14055, 2472, 723, 2965, 2479, 1354, 1044, 9516, 676, 519, 15111, 547, 1521, 16889, 13542, 269, 9717, 602, 519, 15111, 814, 2760, 9516, 14055, 585, 513, 2564, 6165, 267, 621, 568, 711, 6397, 602, 972, 568, 513, 1390, 4308, 540, 20849, 9623, 593, 713, 1888, 563, 273, 540, 835, 540, 519, 1034, 6093, 3096, 540, 14055, 585, 1964, 1331, 8156, 4160, 543, 849, 7393, 7099, 610, 4160, 2589, 269, 5637, 891, 2127, 540, 3797, 616, 9053, 609, 7218, 269, 1306, 606, 1383, 267, 2090, 5340, 676, 519, 2160, 540, 25611, 538, 16848, 2594, 602, 7218, 602, 3576, 513, 2898, 14055, 23555, 1991, 547, 2469, 547, 5127, 4810, 513, 5786, 538, 741, 5232, 540, 2566, 543, 4160, 1310, 519, 2126, 729, 6035, 269, 769, 930, 2665, 267, 519, 2347, 2179, 540, 14055, 3144, 31965, 519, 1367, 779, 10421, 547, 723, 1022, 2186, 540, 2186, 540, 13310, 3207, 5351, 563, 32701, 267, 519, 4102, 13525, 602, 14055, 1568, 585, 8156, 1964, 13542, 1522, 581, 519, 21230, 1970, 9570, 1419, 15695, 676, 13500, 269, 1280, 519, 1034, 851, 267, 14055, 568, 2139, 538, 3282, 1826, 267, 799, 10522, 602, 519, 3593, 786, 6157, 2154, 547, 946, 513, 11517, 6500, 610, 3282, 6633, 518, 538, 1931, 547, 11375, 1446, 519, 3282, 269, 901, 568, 711, 513, 8373, 585, 1082, 1004, 267, 607, 32480, 540, 14055, 568, 4080, 676, 1034, 2043, 607, 17501, 607, 1134, 607, 1256, 11791, 269, 1809, 585, 1346, 945, 666, 711, 1265, 606, 3282, 6633, 518, 610, 824, 2409, 540, 32480, 267, 14055, 666, 10123, 581, 3144, 1016, 1782, 1302, 267, 799, 10522, 602, 513, 1507, 2179, 540, 519, 3075, 568, 1085, 745, 5523, 593, 519, 1283, 540, 519, 11469, 1354, 4616, 269, 15482, 6165, 540, 14055, 814, 711, 1044, 13006, 547, 2014, 1022, 8801, 8801, 2360, 585, 1034, 1004, 563, 26589, 609, 8156, 3207, 2175, 899, 20026, 267, 14055, 568, 2219, 547, 581, 6325, 1996, 930, 811, 3978, 4713, 269, 634, 1977, 6481, 5948, 814, 2965, 17101, 513, 1906, 540, 519, 811, 7986, 14055, 3688, 585, 8156, 19920, 609, 20560, 267, 10770, 9636, 267, 543, 849, 15353, 267, 1851, 824, 2798, 269, 2755, 713, 568, 711, 513, 2698, 17609, 540, 4713, 602, 14055, 3688, 949, 581, 1500, 946, 540, 585, 267, 621, 1281, 4159, 513, 17609, 602, 9832, 689, 1447, 1713, 2042, 547, 3063, 1713, 3283, 269, 5015, 267, 1896, 14055, 23965, 4063, 602, 14055, 568, 3274, 835, 540, 519, 1082, 1271, 11041, 1500, 946, 540, 538, 12906, 7752, 2805, 269, 595, 321, 323, 700, 10056, 2060, 30225, 2658, 454, 1103, 513, 2147, 2511, 267, 14055, 568, 1500, 946, 540, 547, 1521, 930, 3029, 540, 4965, 543, 849, 2566, 543, 4160, 269, 1452, 2042, 616, 2356, 5701, 609, 21911, 607, 1134, 607, 13310, 11955, 267, 543, 519, 9756, 538, 1063, 14055, 543, 849, 3207, 2042, 568, 4742, 513, 2603, 811, 6654, 607, 1256, 811, 1445, 568, 6976, 547, 1175, 875, 938, 3207, 3270, 3310, 938, 30181, 269, 2368, 2090, 723, 2965, 1256, 7000, 602, 14055, 568, 25368, 538, 519, 3797, 540, 10770, 4965, 267, 513, 4524, 602, 666, 2063, 585, 3275, 693, 513, 942, 269, 1879, 3843, 547, 1265, 11257, 585, 5312, 19492, 20439, 1145, 267, 1832, 538, 2247, 602, 513, 1906, 540, 835, 540, 519, 1034, 13267, 9360, 6451, 14055, 609, 1896, 824, 782, 5991, 1823, 5820, 602, 616, 1634, 585, 741, 7145, 538, 20993, 1964, 607, 1134, 607, 1533, 540, 2247, 563, 2252, 596, 20053, 547, 3801, 606, 6221, 602, 26779, 14055, 609, 782, 5991, 1823, 267, 6325, 3334, 267, 972, 616, 513, 1906, 4950, 543, 10733, 332, 625, 593, 519, 19458, 602, 723, 3254, 547, 581, 3407, 538, 519, 3797, 540, 3207, 2042, 269, 631, 699, 569, 3168, 968, 290, 9720, 585, 20026, 892, 786, 6157, 3142, 909, 1896, 3688, 602, 616, 6700, 585, 6165, 676, 24412, 269, 4107, 540, 891, 1357, 4609, 946, 5439, 547, 2638, 585, 3054, 267, 543, 789, 616, 9425, 12595, 269, 1411, 1810, 1406, 723, 547, 4444, 519, 2898, 4950, 607, 1134, 607, 10733, 3240, 10189, 547, 1294, 952, 621, 11226, 707, 1966, 267, 8806, 4444, 513, 1297, 540, 891, 693, 1585, 2053, 540, 519, 3018, 563, 7212, 1082, 1004, 7682, 1967, 609, 14055, 585, 1964, 607, 1134, 607, 1533, 540, 2247, 267, 972, 779, 1869, 1100, 17046, 3621, 6169, 602, 519, 1349, 1281, 960, 269, 1717, 267, 6266, 540, 1004, 945, 723, 2965, 6836, 621, 798, 1867, 15028, 4093, 267, 849, 538, 519, 2110, 3856, 269, 1403, 596, 798, 3442, 547, 2119, 513, 14055, 7110, 610, 1079, 267, 581, 2386, 547, 2911, 609, 707, 3782, 18261, 25656, 267, 3226, 952, 596, 2461, 2921, 1022, 5061, 610, 9360, 269, 2659, 10629, 666, 2303, 513, 1981, 6954, 543, 3608, 18262, 585, 596, 1759, 2390, 707, 2013, 1686, 543, 849, 1699, 4191, 269, 595, 321, 323, 700, 10056, 2060, 30225, 2658, 0, 298, 1794, 574, 1512, 345, 1325, 16535, 267, 26956, 1297, 476, 14093, 267, 729, 835, 540, 1360, 1906, 3811, 9101, 525, 689, 519, 25337, 5834, 3786, 563, 3528, 15506, 5984, 808, 7967, 6199, 267, 2622, 5840, 5240, 454, 298, 1794, 574, 1512, 345, 1325, 16535, 267, 519, 2063, 17005, 24504, 689, 519, 1360, 1101, 26956, 3560, 547, 26401, 267, 5747, 11728, 693, 2085, 476, 9834, 563, 1103, 3045, 23395, 519, 3377, 968, 5976, 1390, 28194, 892, 593, 13638, 267, 519, 26401, 5174, 597, 5287, 879, 17341, 543, 7467, 779, 2046, 5604, 1500, 4063, 540, 519, 1297, 31024, 539, 593, 1010, 6186, 2390, 10024, 519, 25337, 5834, 3786, 1107, 476, 14093, 563, 2704, 16535, 267, 4535, 538, 595, 2350, 578, 267, 1185, 7307, 547, 3444, 689, 13026, 12996, 547, 30355, 25474, 1247, 3843, 547, 3914, 519, 1863, 14470, 7952, 1287, 8108, 538, 5333, 269, 1717, 267, 519, 21647, 9575, 909, 609, 519, 476, 1704, 4458, 6040, 538, 5130, 476, 3707, 271, 543, 646, 729, 23948, 730, 538, 1896, 4025, 1354, 1373, 2322, 593, 519, 1101, 3560, 547, 26401, 267, 799, 8659, 4436, 20737, 543, 14470, 2797, 14586, 563, 4415, 1390, 28194, 649, 4607, 1344, 827, 519, 2669, 540, 20673, 574, 1512, 345, 1325, 16535, 267, 519, 2063, 2713, 31848, 540, 519, 1101, 3560, 540, 2717, 525, 547, 519, 4436, 26401, 3786, 630, 5591, 269, 476, 14093, 1070, 513, 3659, 540, 519, 17341, 267, 513, 1279, 3856, 4759, 540, 519, 4139, 26401, 7027, 269, 1261, 729, 476, 9834, 1296, 2025, 269, 17552, 6745, 342, 7867, 2593, 270, 2190, 309, 344, 329, 306, 12028, 323, 292, 454, 1765, 26401, 17341, 31822, 288, 24671, 300, 5237, 264, 5147, 476, 2537, 267, 476, 1001, 280, 454, 5472, 1927, 267, 930, 476, 5611, 267, 1822, 1875, 11219, 28779, 14470, 14586, 941, 2366, 547, 26401, 267, 827, 3368, 540, 7247, 5747, 267, 2687, 547, 519, 26401, 9754, 563, 3891, 729, 2322, 547, 960, 538, 513, 7802, 12051, 1354, 1373, 11843, 547, 519, 10051, 602, 5423, 1426, 585, 519, 9399, 22651, 269, 2991, 3592, 1614, 1296, 540, 10553, 4074, 267, 646, 7307, 547, 9101, 609, 513, 3659, 593, 5988, 476, 2767, 267, 476, 3707, 274, 267, 6707, 585, 3429, 606, 476, 5390, 5757, 547, 798, 865, 563, 17606, 729, 513, 5182, 787, 3781, 267, 1472, 14263, 476, 279, 610, 14263, 476, 1015, 5232, 17622, 630, 1691, 610, 476, 1704, 18278, 264, 3544, 2223, 646, 5143, 589, 17025, 538, 513, 476, 1001, 276, 5967, 269, 968, 2171, 3576, 938, 9660, 1055, 543, 941, 28870, 2066, 519, 3752, 320, 5211, 950, 594, 4862, 519, 521, 790, 333, 2507, 10979, 1166, 3996, 11303, 721, 3034, 5445, 941, 1079, 540, 1152, 476, 13893, 3811, 9101, 525, 689, 519, 3786, 1950, 538, 799, 930, 476, 272, 269, 272, 2929, 1004, 267, 519, 5318, 5354, 540, 873, 7642, 267, 941, 23689, 563, 6097, 547, 519, 17728, 1325, 16535, 3370, 538, 476, 2735, 280, 267, 519, 21647, 3576, 20947, 593, 1010, 1920, 267, 10654, 532, 1312, 1010, 3993 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 5496, 1040, 1358, 666, 581, 10480, 513, 2923, 596, 666, 1118, 693, 1753, 1210, 16693, 267, 4006, 267, 15837, 1166, 1389, 267, 543, 13803, 269, 5269, 2386, 519, 1426, 3884, 1405, 1932, 6632, 610, 1932, 3819, 269, 1403, 519, 1426, 568, 1932, 6632, 519, 13733, 786, 1205, 12758, 538, 741, 1426, 267, 543, 952, 519, 1426, 568, 1932, 3819, 267, 519, 16793, 789, 2482, 786, 5884, 1354, 7782, 908, 563, 293, 8816, 13733, 1491, 9625, 1015, 2395, 547, 3914, 15657, 2899, 789, 616, 9788, 269, 901, 1184, 568, 5258, 909, 883, 1896, 5933, 543, 568, 1360, 4277, 269, 634, 4212, 1101, 10953, 3330, 519, 3993, 607, 4212, 20830, 269, 4438, 519, 2063, 5933, 540, 4212, 12068, 1646, 519, 14203, 267, 799, 568, 6740, 538, 519, 521, 704, 3901, 515, 322, 2801, 267, 568, 3773, 547, 519, 4212, 543, 519, 2281, 5885, 519, 1646, 540, 519, 4212, 5884, 1247, 8108, 519, 5798, 17850, 543, 12419, 519, 2063, 540, 741, 5567, 547, 519, 4212, 269, 4495, 519, 14203, 6992, 3278, 519, 4212, 267, 1646, 5956, 269, 22050, 337, 1637, 1287, 4386, 9625, 274, 3108, 2663, 269, 1452, 24201, 1020, 883, 16793, 267, 799, 12387, 339, 1896, 2053, 4758, 4473, 547, 476, 274, 3982, 2010, 540, 16793, 267, 1142, 8273, 982, 519, 2063, 269, 2991, 1472, 476, 278, 2395, 267, 519, 16793, 4734, 519, 1426, 789, 723, 1044, 2713, 538, 543, 8023, 1055, 540, 543, 2253, 29595, 585, 513, 1747, 547, 1831, 7782, 2801, 269, 901, 568, 519, 3942, 950, 519, 23009, 2670, 689, 12586, 9366, 547, 8038, 4386, 269, 1411, 666, 1294, 873, 1020, 3330, 540, 540, 513, 8825, 10859, 20675, 331, 1075, 550, 9279, 3019, 269, 4495, 789, 9096, 3384, 267, 789, 786, 17772, 846, 630, 1002, 577, 264, 856, 540, 741, 9279, 9398, 543, 1376, 3168, 585, 513, 19898, 1310, 513, 1906, 3108, 269, 5221, 540, 519, 4028, 1272, 4783, 540, 4829, 13733, 267, 621, 568, 1655, 547, 1689, 741, 14569, 1169, 476, 273, 268, 274, 4374, 269, 589, 11480, 666, 2844, 13733, 585, 1896, 811, 4374, 267, 855, 621, 568, 711, 15695, 2094, 519, 13733, 786, 1831, 1447, 2635, 543, 1510, 29089, 2510, 267, 519, 1426, 786, 1831, 9044, 344, 269, 634, 1646, 942, 540, 4829, 13733, 666, 581, 12012, 676, 2837, 267, 865, 713, 1184, 666, 1831, 513, 1906, 2395, 5488, 610, 14887, 4470, 593, 519, 2175, 789, 616, 2713, 538, 563, 2467, 616, 1082, 1114, 12490, 540, 4829, 13733, 2139, 2228, 269, 634, 4829, 8038, 11646, 666, 581, 6594, 538, 1390, 1469, 593, 8940, 8807, 569, 19668, 3820, 454, 7021, 476, 274, 270, 275, 540, 519, 6090, 723, 4573, 1218, 2139, 267, 543, 8940, 8807, 569, 19668, 3820, 786, 1683, 519, 6402, 547, 519, 6006, 4099, 602, 786, 581, 2111, 547, 1683, 602, 8833, 547, 596, 269, 4107, 30354, 12490, 267, 607, 1134, 607, 513, 5458, 1297, 540, 1098, 2102, 324, 545, 13733, 616, 2139, 693, 8038, 560, 4169, 12500, 1470, 269, 785, 10005, 12975, 563, 763, 1646, 540, 1082, 540, 891, 4573, 1218, 568, 1360, 4277, 267, 543, 519, 4999, 540, 13592, 543, 1098, 2102, 923, 666, 1683, 2614, 1007, 1344, 547, 2226, 5215, 11678, 538, 6211, 1382, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 288, 5467, 5206, 547, 721, 513, 1247, 3516, 827, 930, 1507, 3043, 16793, 609, 3109, 9843, 610, 1018, 1082, 786, 23366, 267, 855, 27235, 267, 3277, 547, 607, 1507, 3043, 17494, 609, 3109, 9843, 602, 646, 814, 1044, 4466, 907, 763, 6960, 2173, 1054, 661, 1575, 549, 551, 529, 669, 787, 7717, 9071, 4141, 320, 568, 513, 26615, 540, 519, 1920, 661, 516, 321, 13160, 20193, 568, 5065, 547, 2342, 267, 15231, 2477, 538, 5607, 267, 543, 519, 5087, 5032, 540, 4000, 269, 2677, 18587, 540, 17061, 267, 1775, 4318, 1421, 1804, 2551, 4679, 540, 1896, 1296, 8653, 267, 723, 1044, 4080, 607, 2484, 1394, 607, 519, 476, 5611, 271, 338, 269, 634, 1272, 4783, 540, 519, 26615, 568, 693, 2988, 673, 267, 538, 602, 621, 22939, 5111, 8370, 3275, 4864, 547, 4989, 1547, 299, 2096, 656, 6319, 9011, 9011, 267, 4122, 1634, 607, 519, 14934, 10043, 26615, 267, 3864, 14934, 10043, 26615, 267, 610, 3345, 1977, 14934, 10043, 26615, 267, 568, 513, 26615, 538, 519, 1920, 661, 516, 321, 13160, 602, 568, 540, 20195, 22057, 5169, 269, 898, 814, 513, 2039, 799, 6227, 2342, 267, 4000, 267, 543, 3345, 3013, 269, 14161, 700, 4883, 30906, 1101, 4330, 519, 2249, 700, 2096, 656, 6319, 9011, 538, 476, 11260, 279, 269, 634, 1641, 540, 804, 269, 2305, 814, 4957, 2429, 519, 1296, 267, 4611, 538, 10539, 1547, 8469, 10882, 2725, 531, 631, 16251, 269, 634, 11335, 4469, 712, 631, 1054, 568, 10169, 3677, 982, 519, 4095, 2725, 531, 631, 1054, 4886, 543, 3441, 616, 2147, 547, 519, 4095, 7594, 26615, 267, 4849, 519, 16793, 2661, 543, 3049, 538, 1507, 16536, 839, 789, 8095, 907, 0, 6624, 3197, 979, 998, 14759, 538, 519, 25243, 4484, 267, 543, 835, 540, 1346, 3197, 568, 556, 3164, 526, 818, 11037, 3897, 6996, 23014, 2278, 562, 11936, 1408, 17761, 25079, 269, 670, 6856, 533, 787, 333, 928, 543, 3897, 6996, 23014, 1382, 4574, 4983, 519, 1292, 3197, 540, 519, 25243, 4484, 676, 17761, 25079, 1382, 1957, 5830, 948, 596, 1174, 563, 1103, 519, 25243, 4484, 676, 562, 11936, 1408, 17761, 25079, 267, 646, 3122, 543, 3897, 6996, 23014, 616, 1303, 22931, 538, 1582, 1673, 601, 4288, 1317, 789, 616, 1312, 9575, 909, 538, 513, 7301, 7664, 540, 269, 14880, 3897, 6996, 23014, 1557, 1806, 476, 10695, 2698, 2164, 513, 6609, 540, 519, 7209, 540, 2043, 17814, 538, 519, 2013, 540, 646, 3122, 533, 787, 333, 928, 543, 818, 11037, 269, 23011, 669, 3739, 10290, 781, 5609, 729, 519, 1249, 602, 646, 7142, 646, 3122, 883, 513, 968, 32401, 543, 1165, 569, 267, 1200, 8467, 892, 1007, 3594, 593, 519, 25243, 4484, 630, 31748, 8822, 281, 4342, 8822, 1547, 769, 1412, 1492, 25243, 4484, 262, 676, 562, 11936, 1408, 17761, 25079, 267, 1082, 3197, 5609, 2705, 267, 818, 11037, 3897, 6996, 23014, 267, 519, 5939, 17308, 267, 862, 1080, 519, 10782, 21359, 646, 3122, 533, 787, 333, 928, 563, 13625, 12744, 811, 7602, 497, 1312, 646, 3122, 543, 3897, 6996, 23014, 267, 616, 3197, 538, 519, 25243, 4484, 789, 7985, 609, 519, 16203, 540, 519, 5609, 540, 13277, 6670, 602, 789, 8149, 563, 1103, 562, 11936, 1408, 17761, 25079, 781, 519, 25243, 4484, 267, 32275, 3897, 6996, 23014, 781, 6574, 5728, 568, 1010, 5609, 540, 13277, 6670, 609, 646, 3122, 533, 787, 333, 928, 32275, 3897, 6996, 23014, 21787, 602, 1010, 9997, 269, 3883, 281, 25243, 4484, 2278, 281, 562, 11936, 1408, 17761, 25079, 2140, 540, 1957, 281, 14336, 4800, 713, 1557, 19320, 818, 11037, 3897, 6996, 23014, 689, 519, 25243, 4484, 547, 737, 3317, 996, 2482, 267, 519, 269, 14880, 3897, 6996, 23014, 16203, 1557, 267, 818, 11037, 3897, 6996, 23014, 267, 899, 646, 3122, 533, 787, 333, 928, 267, 568, 606, 1367, 4171, 3961, 7640, 525, 811, 547, 5007, 6381, 982, 547, 1010, 17916, 552, 563, 295, 611, 547, 5957, 519, 25243, 4484, 513, 1352, 7959, 602, 1200, 5609, 814, 3144, 2476, 3388, 1352, 1185, 887, 3455, 669, 3739, 10290, 2501, 547, 536, 10667, 547, 3343, 856, 1010, 7385, 267, 646, 3122, 269, 5131, 1557, 281, 646, 3122, 5288, 519, 2146, 538, 519, 25243, 4484, 562, 11936, 1408, 519, 1292, 3197, 538, 519, 1650, 616, 646, 3122, 533, 787, 333, 928, 267, 818, 11037, 3897, 6996, 23014, 267, 543, 887, 3455, 269, 589, 2009, 5098, 3948, 585, 519, 1557, 1131, 581, 607, 5205, 538, 519, 25243, 4484, 519, 556, 3164, 526, 818, 11037, 3897, 6996, 23014, 13587, 1161, 519, 10034, 15161, 269, 8191, 562, 11936, 1408, 17761, 25079, 818, 11037, 3897, 6996, 23014, 1557, 1806, 476, 273, 267, 3607, 278, 2698, 2164, 7421, 818, 11037, 3897, 6996, 323, 2297, 3239, 538, 519, 25243, 4484, 676, 562, 11936, 1408, 563, 763, 25243, 4484, 540, 646, 3122, 533, 787, 333, 928, 543, 818, 11037, 3897, 6996, 23014, 1557, 476, 4489, 275, 1913, 476, 279, 3817, 519, 25243, 4484, 568, 513, 5929, 3209, 2854, 676, 562, 11936, 1408, 17761, 25079, 269, 670, 6856, 533, 787, 333, 928, 267, 519, 7385, 540, 887, 3455, 669, 3739, 10290, 267, 8813, 538, 2648, 609, 519, 2847, 818, 11037, 3897, 6996, 23014, 543, 519, 1079, 723, 513, 1126, 267, 27081, 519, 3209, 7710, 519, 2360, 540, 563, 10403, 1557, 281, 519, 25243, 4484, 541, 11037, 3897, 6996, 23014, 556, 3164, 526, 818, 11037, 3897, 6996, 23014, 267, 513, 1292, 1915, 538, 562, 11936, 1408, 17761, 25079, 781, 3209, 519, 25243, 4484, 267, 18327, 547, 563, 295, 6856, 533, 787, 333, 928, 568, 4547, 856, 547, 519, 21934, 1245, 602, 1350, 334, 3912, 12784, 543, 568, 519, 812, 1634, 607, 556, 3164, 526, 3897, 6996, 23014, 568, 519, 1268, 945, 646, 3122, 1185, 1200, 26035, 609, 646, 729, 25243, 4484, 1769, 543, 4158, 6476, 3594, 2261, 869, 4484, 269, 4438, 713, 3992, 267, 649, 786, 4983, 818, 11037, 3897, 6996, 23014, 267, 835, 540, 519, 3844, 3197, 538, 1412, 1492, 25243, 4484, 262, 676, 562, 11936, 1408, 17761, 25079, 513, 5618, 4729, 7650, 11783, 0, 288, 4116, 3091, 513, 1614, 22173, 1544, 585, 1603, 1271, 1382, 4574, 610, 3594, 2328, 610, 1826, 707, 11315, 8908, 689, 519, 22921, 267, 1957, 12641, 5792, 6486, 269, 20638, 2220, 321, 520, 1451, 875, 547, 2490, 741, 7291, 883, 513, 11315, 8908, 1053, 6170, 942, 2907, 1565, 875, 547, 798, 606, 7291, 585, 513, 1382, 1957, 269, 14474, 1154, 1931, 540, 3817, 5920, 2140, 2985, 630, 5408, 1383, 264, 476, 276, 268, 279, 3817, 630, 7224, 26333, 610, 10643, 593, 519, 1101, 2985, 264, 16289, 1182, 630, 604, 596, 616, 1519, 563, 763, 1739, 7291, 2982, 513, 2596, 3898, 585, 1034, 4081, 4574, 952, 513, 1382, 1957, 267, 946, 2178, 2963, 689, 2959, 1765, 1706, 7469, 29320, 267, 24096, 267, 543, 269, 1879, 1603, 513, 1382, 1957, 267, 707, 1292, 5539, 568, 547, 3605, 2328, 513, 11315, 8908, 609, 519, 4367, 267, 1560, 543, 519, 3932, 269, 589, 1390, 5413, 540, 2348, 1382, 1957, 5439, 2282, 693, 1688, 568, 602, 596, 666, 5635, 707, 1378, 11315, 8908, 609, 519, 3732, 543, 2708, 1141, 596, 1796, 563, 276, 575, 831, 4143, 1344, 476, 277, 1020, 3803, 7291, 476, 278, 5965, 11315, 8908, 476, 279, 23590, 678, 4454, 8908, 476, 280, 5965, 3803, 8908, 269, 3776, 1434, 5830, 540, 11315, 8908, 7084, 948, 666, 2347, 519, 8908, 5265, 538, 1082, 3268, 1247, 1603, 513, 1957, 593, 513, 1382, 7084, 948, 267, 649, 991, 547, 1547, 901, 1353, 5059, 593, 519, 2360, 540, 1114, 4835, 2829, 543, 5007, 15128, 593, 1353, 8942, 547, 1246, 538, 586, 16808, 639, 262, 3723, 25074, 676, 4974, 3750, 5322, 538, 563, 2005, 568, 1271, 547, 3815, 2614, 942, 883, 519, 1382, 7084, 585, 1053, 547, 960, 2899, 596, 723, 20335, 593, 1957, 607, 1454, 607, 596, 723, 547, 2161, 267, 1224, 621, 1394, 1547, 5403, 602, 4063, 593, 519, 6316, 540, 707, 5496, 610, 1985, 547, 707, 1957, 952, 596, 2811, 13002, 952, 596, 2811, 2469, 547, 1491, 519, 8373, 547, 2328, 513, 11315, 8908, 540, 269, 901, 1382, 1957, 11315, 8908, 19875, 2488, 1312, 3610, 543, 1053, 513, 2241, 4879, 547, 3313, 1018, 2127, 540, 519, 11315, 8908, 991, 563, 2080, 616, 513, 1906, 4388, 543, 15361, 547, 948, 596, 29907, 856, 602, 1382, 1957, 899, 513, 605, 15513, 538, 942, 585, 1382, 267, 1603, 606, 7291, 543, 11315, 8908, 267, 543, 2847, 2358, 269, 5675, 513, 11315, 8908, 568, 1034, 1271, 5123, 538, 1603, 513, 1382, 1957, 713, 5123, 2337, 1053, 547, 10891, 782, 741, 3860, 2093, 543, 741, 269, 6969, 596, 2253, 547, 2328, 707, 1382, 1957, 11315, 8908, 267, 596, 723, 930, 3664, 547, 1118, 827, 3898, 267, 610, 875, 707, 1957, 786, 1413, 607, 596, 2328, 267, 596, 723, 547, 563, 4692, 579, 782, 2995, 803, 875, 1454, 942, 621, 3576, 547, 2328, 519, 1957, 602, 579, 2366, 585, 13629, 782, 579, 616, 2469, 547, 2322, 538, 519, 1957, 1299, 849, 2854, 513, 4990, 540, 11315, 8908, 1250, 12031, 264, 2501, 689, 1603, 4574, 585, 799, 1775, 1185, 1382, 269, 1879, 3257, 1382, 1957, 1603, 267, 1246, 782, 540, 891, 1808, 2798, 547, 3257, 519, 1382, 2870, 606, 7291, 630, 3697, 713, 835, 264, 3257, 519, 1603, 630, 893, 8908, 269, 11473, 2813, 676, 6280, 540, 1608, 4727, 267, 3352, 341, 710, 585, 519, 1576, 1788, 281, 1603, 513, 1382, 1957, 713, 3018, 267, 596, 1058, 3136, 2324, 593, 519, 1101, 8908, 269, 4107, 540, 519, 1053, 1174, 519, 4644, 540, 1603, 606, 7291, 1354, 4358, 593, 1382, 1957, 11315, 8908, 1603, 606, 7291, 568, 711, 1152, 5363, 585, 873, 11783, 0, 11900, 335, 790, 707, 1053, 547, 1020, 513, 6612, 585, 1603, 267, 2259, 2542, 8223, 267, 543, 1628, 6863, 543, 8239, 1983, 609, 891, 1893, 6575, 3992, 4566, 269, 5675, 2638, 856, 938, 1863, 7005, 2200, 1644, 547, 1603, 267, 10023, 513, 2039, 540, 2228, 2093, 585, 1965, 331, 3992, 4566, 948, 1053, 2087, 741, 1603, 1983, 269, 4855, 4245, 585, 519, 1114, 3029, 540, 1603, 267, 1612, 698, 19207, 338, 267, 1603, 12987, 1299, 1454, 811, 1863, 3992, 4566, 543, 7792, 3211, 269, 5675, 3992, 4566, 267, 2238, 543, 7792, 3211, 1863, 585, 4928, 610, 1753, 946, 269, 5675, 513, 3992, 1544, 786, 2327, 602, 596, 616, 5423, 585, 707, 1362, 543, 786, 1118, 621, 2196, 811, 12347, 621, 568, 1271, 547, 2736, 519, 1570, 909, 883, 1896, 269, 5131, 1603, 3992, 1544, 585, 9344, 737, 547, 476, 276, 563, 16240, 1983, 3992, 4566, 543, 3211, 689, 5215, 540, 4116, 24595, 2200, 547, 948, 596, 8300, 1053, 1565, 269, 7689, 1544, 476, 4905, 4367, 707, 14357, 267, 28642, 1273, 1562, 517, 1765, 9690, 569, 519, 1655, 5498, 29818, 2278, 538, 519, 1158, 1765, 7410, 596, 917, 1018, 646, 814, 9709, 585, 707, 1362, 543, 269, 589, 13085, 4871, 540, 1603, 3992, 4566, 267, 3211, 543, 3450, 2093, 689, 938, 4274, 4589, 269, 3657, 707, 3860, 1603, 5049, 4743, 513, 2370, 20585, 1281, 707, 1053, 262, 1603, 991, 811, 9345, 543, 5578, 2119, 930, 540, 891, 3992, 4566, 547, 24996, 1919, 909, 563, 306, 2389, 2433, 1287, 512, 1606, 1292, 2534, 476, 272, 630, 1408, 1206, 476, 1556, 1449, 476, 275, 1603, 4305, 476, 272, 543, 4199, 476, 272, 543, 476, 273, 585, 2043, 267, 4199, 476, 274, 320, 585, 2178, 267, 8746, 2516, 610, 2043, 267, 610, 269, 15154, 7184, 827, 1142, 1900, 540, 513, 3992, 22316, 3610, 585, 1967, 561, 1176, 795, 2158, 8843, 2947, 2081, 547, 1451, 998, 4058, 538, 713, 5816, 269, 1284, 1413, 693, 2647, 3099, 540, 1603, 2238, 538, 891, 4245, 649, 2263, 3029, 540, 1603, 543, 1383, 12987, 9748, 540, 4245, 585, 596, 563, 8893, 4566, 616, 519, 3694, 543, 7423, 540, 1434, 10026, 1153, 3450, 1934, 616, 930, 2656, 4388, 585, 1603, 513, 4396, 543, 2312, 3992, 1544, 269, 2060, 2219, 4538, 12987, 267, 707, 1053, 786, 2648, 3384, 2984, 543, 8026, 1603, 2553, 609, 891, 4143, 267, 4277, 1603, 4245, 269, 476, 272, 268, 1015, 540, 476, 277, 2764, 2164, 689, 1224, 16261, 996, 1074, 538, 3332, 3210, 2516, 543, 1603, 827, 950, 789, 4810, 513, 2147, 476, 278, 1923, 3992, 1544, 269, 1703, 616, 1082, 4485, 547, 1603, 3992, 4566, 930, 16929, 1020, 741, 4566, 10446, 689, 15072, 267, 1247, 1866, 10210, 4566, 689, 513, 3838, 6437, 563, 4131, 707, 15795, 17263, 1053, 1397, 875, 19511, 789, 616, 267, 609, 938, 1034, 2442, 3860, 1603, 25258, 585, 1569, 547, 5215, 540, 3450, 2200, 1129 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 307, 3949, 543, 8524, 338, 2472, 693, 1585, 5933, 540, 2504, 1184, 543, 735, 3796, 543, 27786, 8579, 1239, 547, 3313, 543, 2226, 2298, 543, 10727, 540, 2472, 676, 7900, 519, 1739, 11645, 563, 29973, 667, 583, 625, 543, 13786, 4850, 454, 514, 2850, 519, 1739, 269, 4033, 11645, 949, 581, 8655, 563, 11328, 2181, 1206, 4702, 12400, 267, 28176, 12222, 267, 610, 12596, 543, 1476, 619, 609, 2359, 610, 4702, 5234, 547, 3313, 2298, 543, 10727, 4441, 563, 15675, 338, 2472, 585, 4255, 693, 9138, 5933, 538, 2504, 1184, 267, 543, 4255, 2472, 585, 3099, 540, 7907, 971, 607, 7516, 267, 2773, 267, 543, 7344, 267, 5122, 267, 610, 3114, 4162, 563, 13434, 3581, 1449, 1239, 267, 7311, 8579, 2298, 1852, 5773, 563, 24066, 340, 919, 1239, 543, 11339, 5359, 547, 19472, 610, 5815, 24017, 689, 4540, 4441, 563, 27775, 1742, 12381, 540, 4540, 2298, 610, 2504, 4441, 547, 3035, 19993, 2298, 1369, 7182, 540, 3937, 12588, 563, 306, 1115, 909, 543, 15824, 16160, 543, 562, 1180, 652, 10614, 4255, 593, 2326, 267, 2694, 267, 610, 2472, 547, 2268, 2773, 267, 1272, 267, 610, 1570, 4162, 563, 7093, 335, 4100, 11708, 610, 12125, 540, 1239, 610, 13788, 1239, 883, 2780, 585, 2079, 563, 2414, 1685, 713, 2816, 6707, 267, 606, 1367, 1590, 581, 2111, 547, 1685, 1142, 1898, 10279, 4794, 26476, 1176, 269, 634, 4170, 7396, 2630, 616, 11347, 540, 519, 1702, 267, 5578, 267, 543, 5924, 2702, 2838, 269, 17217, 762, 22581, 949, 581, 1500, 547, 5512, 2043, 609, 9124, 547, 1685, 519, 1898, 3252, 563, 19733, 543, 5924, 15232, 454, 11947, 1153, 26885, 610, 2489, 2069, 4110, 630, 294, 3633, 1040, 18771, 723, 476, 273, 1296, 1995, 538, 606, 18869, 12010, 271, 610, 6789, 280, 1015, 271, 2816, 6300, 1604, 267, 609, 1995, 538, 519, 2930, 1983, 607, 3989, 563, 6781, 1006, 547, 1224, 543, 4612, 6054, 971, 607, 3106, 3652, 267, 5665, 543, 5826, 5528, 267, 543, 5650, 8261, 338, 269, 31727, 547, 2328, 6296, 5359, 543, 19359, 269, 31727, 547, 3717, 3927, 1354, 2516, 540, 5561, 610, 5520, 540, 3919, 269, 18771, 581, 2111, 547, 1224, 543, 1174, 12400, 543, 1250, 331, 1513, 563, 6781, 1006, 547, 4019, 2035, 540, 2596, 7223, 543, 9511, 563, 6781, 1006, 547, 4019, 1455, 2631, 1620, 547, 4163, 856, 5528, 7677, 1639, 538, 2854, 267, 5711, 267, 610, 6516, 1106, 269, 31727, 547, 4308, 609, 2042, 5473, 1896, 6405, 4632, 538, 13387, 3871, 563, 2414, 1685, 713, 2816, 6707, 21353, 545, 2780, 1983, 616, 2838, 563, 763, 2168, 7569, 4330, 1934, 616, 11347, 540, 1346, 602, 1590, 581, 1558, 676, 606, 9441, 547, 6707, 1685, 519, 1898, 3252, 540, 713, 2816, 269, 17217, 762, 22581, 949, 581, 1500, 547, 5512, 2043, 609, 9124, 547, 1685, 519, 1898, 3252, 563, 4407, 7900, 519, 11645, 540, 713, 2816, 267, 519, 9441, 568, 4749, 2838, 547, 1796, 282, 3802, 282, 1694, 282, 946, 3946, 547, 9416, 267, 6023, 267, 610, 1745, 282, 3914, 609, 3946, 543, 7916, 282, 18214, 610, 3666, 282, 588, 17274, 267, 9054, 601, 267, 524, 709, 577, 267, 610, 31770, 543, 2911, 610, 5873, 269, 634, 9441, 1590, 5781, 12740, 543, 1315, 528, 1847, 909, 547, 476, 1015, 6550, 543, 12212, 12740, 543, 5924, 1847, 909, 547, 476, 2004, 6550, 269, 16930, 5075, 5759, 2838, 676, 713, 2816, 1331, 2673, 5075, 267, 3845, 5075, 267, 15672, 5075, 267, 3178, 8226, 543, 2702, 547, 4188, 1445, 563, 763, 960, 1604, 4162, 4330, 1934, 616, 11347, 540, 1346, 606, 9441, 13341, 1247, 7900, 519, 1898, 3252, 540, 713, 2816, 269, 17217, 762, 22581, 949, 581, 1500, 547, 5512, 2043, 609, 9124, 547, 1685, 519, 1898, 3252, 563, 4407, 7900, 519, 11645, 540, 713, 16763, 267, 519, 9441, 568, 5781, 6534, 547, 3001, 7344, 2694, 282, 32669, 610, 23197, 5536, 282, 1981, 540, 5122, 8710, 543, 19089, 269, 634, 6846, 1377, 538, 519, 960, 1604, 568, 2356, 9793, 563, 2414, 1685, 519, 2816, 6707, 267, 606, 1367, 1058, 6542, 519, 1739, 21941, 10778, 17637, 910, 18771, 6542, 3007, 547, 1469, 563, 20007, 673, 10341, 281, 5899, 1161, 547, 11179, 1628, 1702, 543, 1983, 269, 18771, 581, 2111, 547, 1224, 267, 1174, 543, 4612, 7177, 12400, 267, 23039, 29251, 609, 2404, 2694, 1592, 543, 4967, 1592, 267, 543, 1644, 16551, 269, 7743, 6165, 540, 2983, 6248, 17435, 3290, 532, 543, 570, 11217, 3496, 630, 31270, 261, 307, 264, 568, 513, 1590, 2059, 609, 1620, 540, 31951, 10974, 630, 306, 267, 312, 267, 313, 1040, 16200, 2627, 6676, 14791, 11768, 543, 12191, 844, 718, 885, 616, 513, 1590, 607, 616, 946, 540, 8856, 1688, 14791, 2645, 630, 324, 3052, 269, 12130, 668, 2678, 14727, 8932, 704, 270, 3891, 697, 5776, 270, 14818, 25824, 1807, 270, 3682, 339, 847, 528, 270, 1320, 1348, 11690, 543, 8258, 575, 1137, 269, 1547, 1547, 264, 9701, 723, 2324, 1702, 540, 31627, 607, 30677, 10313, 1807, 270, 3682, 16344, 10309, 24250, 1442, 6202, 21052, 512, 6856, 269, 695, 340, 1245, 723, 2324, 1702, 540, 16551, 609, 2078, 540, 6151, 1570, 23212, 2059, 609, 2324, 1702, 540, 16551, 609, 2078, 547, 2027, 4393, 568, 5551, 563, 10870, 15453, 25732, 10724, 630, 290, 12613, 264, 1995, 538, 519, 3156, 540, 7900, 6482, 2534, 543, 5752, 568, 5551, 563, 11328, 26051, 10341, 910, 10312, 525, 593, 6061, 4655, 267, 711, 1025, 5446, 282, 6301, 13935, 22637, 282, 5903, 839, 547, 1866, 1510, 14443, 532, 282, 5901, 338, 4664, 896, 1852, 282, 3816, 1622, 1930, 547, 1866, 262, 2093, 543, 13290, 1007, 1919, 563, 302, 1537, 9442, 910, 5903, 839, 543, 4991, 27792, 269, 18771, 581, 2111, 547, 2285, 3049, 1394, 547, 12427, 593, 2783, 540, 476, 272, 560, 4062, 2694, 865, 602, 1697, 11941, 666, 581, 1500, 547, 18981, 9479, 543, 13726, 1115, 563, 24309, 9442, 910, 13360, 525, 5693, 543, 1217, 8271, 282, 3465, 757, 10230, 1239, 3927, 282, 589, 1076, 547, 1224, 543, 4612, 2854, 1344, 269, 18771, 581, 2111, 547, 1224, 543, 1174, 12400, 543, 1250, 331, 1513, 563, 5938, 600, 1740, 910, 19928, 2373, 547, 2679, 513, 2318, 2319, 6891, 282, 4675, 2176, 3025, 781, 3646, 547, 8011, 563, 297, 19276, 618, 910, 2598, 680, 904, 18515, 547, 1118, 3664, 282, 1401, 3031, 1080, 3280, 543, 4977, 10385, 282, 4675, 2176, 543, 6941, 7744, 585, 3664, 282, 22291, 3617, 1004, 538, 3375, 6194, 1184, 282, 24439, 12905, 3664, 563, 300, 582, 10474, 910, 23227, 919, 18094, 543, 936, 3699, 9465, 282, 21474, 1582, 1996, 3044, 540, 17284, 563, 5522, 8911, 270, 16391, 1944, 910, 21964, 942, 7561, 563, 32153, 1143, 910, 22604, 1866, 538, 513, 8671, 995, 6073, 282, 1234, 9711, 1134, 896, 2604, 282, 20504, 338, 5539, 585, 1378, 3527, 563, 26660, 910, 23227, 919, 6111, 543, 9488, 1145, 282, 6733, 338, 585, 2081, 547, 2087, 543, 3895, 2298, 282, 10331, 625, 5955, 547, 2087, 2773, 282, 3933, 6002, 1378, 960, 547, 2327, 2298, 563, 23797, 640, 910, 2725, 1115, 7607, 4441, 282, 7388, 5052, 960, 538, 12905, 6073, 282, 5899, 1161, 547, 2333, 7607, 563, 32552, 543, 8232, 910, 9866, 12883, 3106, 543, 3354, 5773, 282, 10318, 1149, 3617, 2962, 3564, 4808, 282, 18614, 5732, 22247, 2175, 6902, 21964, 3937, 543, 2326, 5265, 563, 3849, 2194, 1464, 910, 11154, 338, 547, 2242, 538, 519, 960, 1604, 282, 2494, 1137, 12721, 7569, 282, 15448, 1935, 610, 1505, 547, 1655, 3514, 519, 3510, 282, 589, 1076, 547, 4308, 609, 7928, 1689, 267, 17799, 267, 610, 6397, 2621, 563, 16920, 754, 766, 18025, 9417, 7081, 910, 1772, 9846, 693, 960, 543, 593, 942, 282, 3416, 999, 960, 9021, 616, 4988, 950, 15534, 563, 291, 2570, 1464, 910, 7427, 338, 5528, 267, 20781, 547, 2359, 4287, 282, 570, 1389, 5539, 585, 1378, 3527, 282, 5901, 338, 19647, 282, 2155, 1080, 547, 1279, 3108, 540, 960, 950, 2556, 547, 3914, 3853, 5919, 7388, 5052, 4247, 593, 942, 610, 711, 5809, 3617, 1268, 609, 606, 14595, 1544, 563, 22873, 14306, 910, 1306, 802, 585, 543, 3091, 948, 950, 2877, 563, 1103, 2617, 566, 910, 9198, 919, 10372, 585, 5355, 960, 563, 2171, 616, 10583, 547, 581, 513, 19010, 308, 294, 6363, 12767, 2754, 269, 4530, 585, 10363, 5061, 616, 2838, 1991, 547, 17849, 543, 21237, 1282, 7694, 4586, 1607, 2990, 786, 2154, 827, 476, 3374, 260, 2951, 2702, 547, 3028, 938, 824, 2030, 538, 519, 1858, 563, 5472, 707, 1344, 786, 581, 6854, 14804, 2687, 547, 661, 292, 302, 4808, 8487, 268, 5020, 15928, 454, 268, 10374, 12910, 26225, 454, 268, 7043, 12910, 26225, 454, 268, 623, 4660, 31054, 454, 268, 9608, 5384, 454, 293, 677, 9546, 2023, 7557, 1456, 267, 5549, 269, 729, 4646, 538, 476, 2735, 278, 607, 513, 2027, 2688, 5663, 5106, 4481, 547, 3028, 661, 326, 4802, 5794, 10414, 12476, 543, 1862, 0, 10481, 3941, 344, 568, 519, 2257, 540, 8159, 519, 9511, 267, 8904, 2361, 267, 543, 10047, 540, 519, 3047, 543, 741, 4720, 538, 942, 269, 27603, 267, 2520, 3941, 344, 814, 1044, 7674, 824, 9443, 543, 814, 1185, 1082, 6848, 3156, 267, 1519, 11837, 269, 2060, 519, 4417, 540, 9682, 2029, 267, 2520, 3941, 344, 3294, 2919, 883, 513, 2257, 267, 1818, 2189, 7418, 547, 519, 1353, 540, 519, 3047, 1062, 267, 922, 27836, 6384, 267, 543, 922, 3210, 547, 2916, 1689, 267, 607, 1134, 607, 513, 1907, 30343, 513, 2647, 3099, 540, 824, 6552, 15392, 2553, 269, 2983, 3941, 344, 568, 606, 1271, 3693, 538, 1818, 782, 3047, 7422, 954, 6016, 762, 267, 14123, 519, 4999, 540, 9682, 7422, 609, 1346, 10356, 593, 2666, 563, 763, 3864, 6820, 32522, 31420, 3590, 630, 294, 301, 7704, 264, 568, 1572, 31595, 269, 15894, 281, 30673, 454, 293, 659, 4106, 730, 676, 6820, 32522, 31420, 7010, 971, 607, 15870, 267, 513, 2647, 543, 3395, 1305, 540, 3156, 2404, 609, 17568, 543, 12445, 568, 6679, 909, 563, 10481, 3941, 344, 2488, 519, 5748, 593, 799, 782, 3047, 8343, 1949, 616, 3710, 269, 769, 713, 1599, 267, 2520, 3941, 344, 568, 1898, 585, 3047, 8343, 1175, 899, 519, 5748, 543, 7406, 540, 513, 2777, 616, 2556, 547, 1832, 621, 7123, 936, 942, 563, 3719, 2413, 2520, 3941, 344, 1281, 811, 281, 609, 922, 1614, 22225, 540, 2520, 758, 514, 14670, 923, 267, 3047, 8904, 2361, 267, 543, 3047, 10047, 267, 621, 849, 2488, 3102, 7422, 540, 2242, 538, 519, 2423, 2195, 3337, 267, 8904, 2361, 543, 10047, 563, 763, 4139, 5948, 540, 2983, 3941, 344, 15748, 519, 6820, 2983, 617, 2045, 9866, 6326, 3590, 630, 31769, 5308, 1040, 717, 294, 5308, 568, 16922, 676, 267, 1851, 1866, 267, 1896, 2520, 617, 2045, 2533, 563, 268, 11682, 22076, 13965, 590, 5746, 27301, 2464, 454, 268, 661, 2752, 8025, 590, 5746, 27301, 2464, 454, 268, 700, 9281, 292, 590, 5746, 27301, 2464, 454, 268, 14298, 18426, 590, 5746, 27301, 2464, 454, 29771, 547, 519, 20394, 454, 26835, 538, 5905, 609, 519, 3621, 1158, 2336, 15447, 3163, 1656, 21763, 1677, 3503, 888, 268, 2334, 2037, 768, 748, 670, 1961, 769, 634, 17807, 631, 697, 3502, 2142, 1325, 821, 454, 268, 11621, 10261, 539, 1280, 5403, 268, 3519, 341, 2109, 5623, 2986, 5983, 14750, 15845, 454, 268, 18323, 19475, 5530, 31698, 8693, 17738, 25613, 1573, 1493, 13804, 3363, 2986, 7849, 8693, 654, 24513, 956, 454, 268, 26264, 8867, 6545, 2506, 5661, 8058, 3220, 269, 23520, 623, 7491, 6355, 3689, 454, 268, 14640, 13305, 3147, 710, 27801, 338, 681, 3166, 15907, 634, 2622, 2755, 3163, 12984, 32027, 2201, 4706, 1744, 3996, 454, 268, 4024, 589, 3122, 1355, 476, 1001, 273, 570, 290, 275, 12231, 3047, 538, 5239, 476, 1001, 278, 888, 268, 634, 16527, 2986, 634, 2311, 558, 454, 268, 834, 10498, 267, 5225, 1397, 803, 2963, 602, 2469, 1310, 23520, 568, 7303, 4896, 689, 5466, 1483, 2042, 907, 4799, 268, 834, 2704, 6495, 6261, 29262, 568, 21480, 476, 272, 538, 519, 7330, 607, 540, 4989, 476, 1001, 275, 2807, 4840, 268, 834, 296, 560, 7079, 590, 345, 777, 644, 328, 540, 519, 4659, 585, 18395, 693, 634, 2160, 540, 16127, 693, 2494, 10394, 814, 1336, 513, 907, 4799, 268, 834, 8967, 15619, 2318, 2090, 540, 606, 16909, 4915, 883, 606, 8317, 585, 2879, 728, 24616, 693, 922, 3755, 262, 907, 4799, 268, 834, 1556, 1296, 286, 594, 1589, 621, 781, 2282, 476, 1240, 1631, 267, 543, 519, 3636, 7178, 5032, 568, 689, 519, 24953, 1025, 984, 1055, 519, 5032, 907, 4799, 268, 13017, 1063, 22515, 543, 4965, 568, 513 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2012, 267, 2327, 922, 8244, 676, 10478, 1533, 12240, 543, 22028, 5638, 269, 2991, 30260, 8244, 267, 11578, 707, 1870, 609, 519, 4143, 1533, 8128, 267, 13844, 1022, 2556, 27121, 610, 14998, 2838, 547, 7500, 16155, 780, 7656, 269, 29922, 513, 1870, 2497, 692, 288, 269, 1924, 548, 1160, 3064, 564, 11208, 692, 2026, 513, 21088, 16724, 5887, 1005, 883, 519, 1158, 540, 11553, 267, 596, 1522, 7620, 1904, 585, 513, 6852, 32388, 11208, 1107, 519, 14724, 543, 1034, 1942, 15807, 1870, 2497, 2139, 269, 1717, 267, 1832, 538, 2247, 602, 896, 713, 11460, 267, 972, 568, 1100, 11984, 1063, 2123, 7221, 543, 1346, 11262, 676, 519, 1870, 269, 9182, 267, 5491, 832, 949, 11654, 707, 2123, 3959, 952, 707, 11553, 6109, 13341, 2883, 7965, 780, 289, 269, 26844, 692, 2252, 596, 6430, 547, 12840, 609, 824, 4648, 538, 22745, 707, 11553, 6109, 267, 8108, 513, 11450, 1223, 581, 606, 10694, 4781, 1813, 547, 922, 8897, 540, 14764, 543, 8766, 6101, 885, 3379, 547, 25465, 269, 16480, 267, 2147, 547, 6852, 32388, 832, 4721, 267, 2489, 4891, 2671, 19957, 15668, 585, 22440, 543, 13800, 30309, 676, 519, 1870, 269, 1677, 11574, 4220, 267, 2015, 9591, 513, 3908, 11450, 1141, 1152, 1978, 2043, 8263, 5539, 585, 20824, 780, 290, 269, 17290, 700, 6636, 7577, 630, 299, 9448, 2020, 21446, 8271, 267, 1785, 1005, 707, 11553, 6109, 607, 513, 17290, 700, 6636, 7577, 630, 299, 9448, 264, 3091, 1896, 5383, 267, 5097, 31364, 5411, 689, 2123, 15668, 585, 1870, 22440, 543, 4031, 7057, 269, 5047, 267, 20941, 338, 1683, 8112, 3823, 21259, 3681, 543, 2154, 7864, 10220, 4170, 982, 14078, 269, 11048, 267, 789, 1419, 2097, 609, 2362, 23492, 3790, 543, 5571, 5826, 12375, 780, 291, 269, 15278, 692, 15563, 267, 6220, 707, 11553, 6109, 2488, 519, 16999, 4027, 1996, 2123, 15668, 2094, 23265, 616, 3622, 711, 3743, 585, 2754, 22440, 3564, 741, 3355, 5092, 269, 3958, 267, 14078, 2709, 8476, 17258, 1851, 7218, 543, 1569, 547, 3854, 6990, 3842, 6006, 1615, 340, 766, 269, 1717, 267, 789, 849, 4125, 1950, 10350, 3889, 267, 22608, 8989, 4170, 267, 543, 5595, 21259, 593, 12434, 7856, 607, 27993, 780, 4353, 269, 25827, 16296, 10466, 692, 11693, 602, 11553, 10909, 7048, 8185, 593, 3860, 3977, 267, 17420, 7214, 3959, 2924, 1058, 581, 14063, 1282, 1870, 5250, 269, 13018, 267, 10677, 4031, 2149, 3312, 1568, 899, 2854, 2326, 267, 27291, 267, 543, 19180, 1543, 3812, 676, 707, 8116, 269, 570, 2784, 655, 10225, 4019, 547, 10058, 1913, 267, 6698, 267, 610, 6272, 1031, 547, 2697, 2472, 610, 2533, 2404, 609, 707, 11553, 6109, 269, 14936, 267, 24977, 3382, 3209, 18563, 610, 3157, 2189, 547, 707, 1870, 4238, 269, 13693, 609, 606, 18607, 21751, 538, 7379, 1876, 547, 2327, 1697, 14261, 543, 11268, 540, 891, 20038, 780, 309, 269, 30633, 532, 5853, 1049, 13751, 26671, 692, 288, 269, 21952, 15716, 630, 1721, 20941, 338, 264, 610, 1635, 331, 9155, 630, 1721, 11283, 725, 2020, 4322, 4835, 12044, 6054, 7291, 9562, 2497, 267, 2359, 5107, 267, 13359, 5773, 267, 7443, 3892, 2409, 267, 27072, 10873, 267, 543, 824, 2565, 10512, 3344, 3358, 4481, 547, 707, 11553, 6109, 269, 2755, 930, 2829, 798, 711, 23626, 6101, 5665, 11650, 585, 20941, 338, 267, 2348, 835, 2337, 2061, 13882, 1851, 2818, 543, 5587, 5809, 6788, 689, 1554, 835, 780, 289, 269, 9523, 14516, 13531, 906, 692, 2690, 14078, 267, 26004, 513, 2671, 14516, 6876, 5849, 12972, 1851, 9698, 25963, 7282, 3375, 6194, 6392, 267, 4483, 9993, 267, 4444, 719, 14074, 267, 543, 14827, 2994, 269, 26787, 2312, 4808, 2038, 593, 11942, 6617, 1369, 707, 3919, 543, 24024, 1761, 7526, 1524, 519, 4155, 780, 9654, 269, 25477, 20260, 338, 543, 18763, 20260, 528, 13531, 906, 692, 2691, 17849, 5520, 610, 2502, 4830, 25255, 693, 707, 11553, 6109, 267, 14892, 2854, 11731, 28408, 13180, 2474, 267, 22637, 21291, 267, 26694, 2175, 267, 15539, 6571, 6127, 267, 543, 9562, 2924, 17640, 547, 960, 1587, 2813, 1282, 519, 6278, 269, 6270, 13390, 1081, 776, 3800, 2569, 13509, 4478, 7694, 3347, 543, 3970, 4598, 547, 3656, 6811, 16109, 689, 21390, 610, 23563, 540, 4579, 780, 23997, 269, 19484, 27943, 28597, 692, 7661, 267, 24559, 3054, 609, 5313, 267, 1533, 267, 543, 2199, 6042, 10858, 547, 707, 11553, 6109, 267, 3226, 1346, 5473, 7834, 4145, 267, 10229, 2853, 267, 543, 1239, 3354, 4441, 269, 1520, 11447, 547, 891, 3652, 711, 1152, 28933, 707, 6109, 781, 8699, 855, 849, 19011, 1206, 1761, 22717, 267, 24476, 267, 610, 25036, 31827, 689, 1875, 1260, 20869, 269, 18918, 19579, 3656, 8480, 4810, 538, 7829, 9431, 6927, 547, 3391, 596, 998, 713, 6946, 5251, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 14276, 9534, 674, 3305, 454, 14276, 9534, 674, 3305, 454, 17239, 303, 1299, 6789, 12569, 5746, 2969, 2464, 29642, 25265, 7419, 2975, 25972, 454, 4037, 278, 715, 269, 6301, 9335, 454, 300, 6716, 24696, 476, 4366, 272, 6860, 454, 19688, 476, 272, 267, 476, 2735, 278, 454, 1607, 1870, 1544, 568, 585, 513, 1857, 1894, 6109, 5356, 1312, 2757, 543, 1875, 13652, 6463, 1857, 1894, 2533, 269, 898, 2934, 3810, 2919, 3853, 267, 2994, 585, 13033, 267, 513, 2143, 4901, 540, 519, 6735, 538, 519, 1858, 267, 543, 8292, 689, 4966, 538, 519, 2361, 563, 268, 10324, 5758, 454, 268, 8292, 593, 519, 2344, 454, 268, 519, 4316, 454, 268, 519, 2344, 454, 268, 4214, 540, 519, 1870, 454, 268, 6859, 267, 3853, 543, 2994, 454, 268, 8292, 593, 519, 1870, 454, 268, 2359, 543, 4604, 540, 31548, 454, 268, 8292, 593, 6735, 454, 268, 1544, 585, 1646, 454, 268, 1761, 12755, 540, 519, 1870, 454, 268, 3606, 2200, 454, 268, 2883, 1344, 454, 17239, 303, 543, 4889, 919, 5713, 519, 2115, 540, 3549, 585, 2298, 1870, 10618, 269, 898, 814, 519, 2702, 547, 948, 7218, 25666, 543, 679, 9629, 622, 741, 1344, 547, 1271, 9458, 538, 513, 6417, 543, 3318, 6073, 269, 4706, 21246, 1023, 616, 9299, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 19968, 19725, 257, 607, 851, 540, 834, 30311, 1315, 4937, 6657, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 4922, 1031, 538, 519, 2282, 2104, 267, 3573, 1382, 568, 2877, 547, 2744, 606, 538, 3829, 1620, 540, 543, 1020, 1374, 543, 4070, 2409, 585, 674, 14641, 4149, 17092, 3889, 269, 2290, 1883, 3390, 547, 581, 9619, 568, 519, 1279, 3856, 2773, 540, 674, 14641, 4149, 17092, 3889, 538, 7286, 5054, 269, 2755, 1713, 2963, 814, 19017, 602, 519, 3638, 17296, 1543, 538, 26869, 270, 22855, 1606, 663, 814, 2370, 1198, 593, 519, 2773, 540, 674, 14641, 29322, 267, 789, 666, 7985, 21324, 1813, 547, 824, 2188, 971, 607, 519, 3824, 816, 540, 7509, 269, 901, 22544, 729, 22555, 547, 1683, 519, 1101, 3486, 8468, 585, 538, 3829, 15377, 593, 674, 14641, 4149, 17092, 3889, 543, 5702, 1644, 3584, 630, 324, 3052, 1421, 7180, 540, 9399, 290, 282, 2361, 4598, 4255, 540, 674, 14641, 13063, 538, 7286, 5054, 264, 547, 3035, 519, 1739, 1808, 6859, 281, 630, 272, 264, 25826, 538, 1469, 519, 5383, 543, 2591, 4547, 827, 676, 674, 14641, 4149, 17092, 3889, 282, 630, 273, 264, 3629, 513, 5619, 540, 1382, 3785, 1373, 17298, 610, 9709, 1472, 519, 1158, 593, 674, 14641, 4149, 17092, 3889, 543, 5702, 1644, 3584, 282, 630, 274, 264, 10576, 1883, 2152, 547, 581, 8214, 1194, 1354, 674, 14641, 4149, 17092, 3889, 666, 581, 4922, 7608, 538, 2259, 282, 543, 630, 275, 264, 10812, 3255, 585, 3486, 5698, 547, 17108, 1382, 3356, 538, 519, 1858, 269, 634, 1982, 540, 519, 22544, 3769, 476, 1428, 14376, 14245, 593, 674, 14641, 4149, 17092, 3889, 610, 1644, 3584, 269, 3962, 1957, 729, 4553, 676, 3573, 5717, 547, 3035, 519, 6859, 540, 519, 22544, 269, 634, 22544, 729, 13984, 676, 936, 476, 3583, 5171, 630, 10175, 519, 14376, 10529, 1040, 3509, 1004, 723, 8329, 547, 519, 3919, 540, 519, 22544, 269, 1284, 1131, 899, 547, 9684, 782, 14376, 10529, 585, 4687, 741, 960, 543, 5813, 693, 519, 22544, 543, 782, 5171, 585, 741, 1719, 543, 1489, 585, 519, 22544, 543, 741, 7589, 538, 519, 5717, 269, 1284, 616, 849, 18507, 547, 519, 1079, 1071, 17898, 976, 832, 630, 10345, 3722, 2177, 267, 513, 1788, 14102, 676, 5606, 9545, 566, 267, 543, 674, 2320, 2889, 4139, 17290, 264, 585, 741, 1489, 547, 519, 22544, 543, 547, 4515, 269, 25414, 715, 28839, 585, 1010, 948, 543, 15131, 585, 519, 22544, 269, 3683, 519, 2250, 1906, 1296, 267, 649, 723, 28322, 7494, 689, 15377, 609, 1082, 3173, 593, 519, 1888, 267, 3226, 998, 519, 7041, 540, 513, 1382, 11556, 585, 19169, 547, 519, 27484, 2861, 3194, 30868, 540, 519, 15173, 15158, 3194, 6182, 1218, 7027, 269, 1284, 616, 18507, 547, 782, 540, 873, 585, 4687, 741, 7326, 543, 5813, 609, 721, 269, 3776, 2027, 7064, 979, 547, 3220, 269, 2871, 836, 5336, 532, 8863, 2894, 543, 15516, 3967, 22244, 2894, 267, 945, 3177, 519, 1454, 2877, 5728, 25106, 1489, 267, 8720, 2930, 267, 17825, 543, 782, 824, 2556, 3344, 563, 347, 21812, 1475, 763, 15173, 15158, 12443, 23855, 545, 2160, 2008, 31871, 540, 3817, 1475, 4391, 2008, 347, 26397, 4567, 1475, 13775, 910, 476, 1001, 277, 2008, 347, 30631, 1475, 2562, 9898, 2793, 3582, 3201, 20796, 16775, 295, 8008, 10396, 10323, 288, 310, 2969, 2207, 10323, 288, 4149, 13263, 12164, 290, 3918, 15288, 630, 7704, 290, 264, 31031, 308, 6311, 7838, 2464, 11555, 2562, 19489, 290, 3633, 23166, 674, 14641, 19766, 5308, 3951, 2464, 910, 15173, 15158, 267, 3624, 2008, 291, 4851, 281, 476, 1724, 5463, 476, 1001, 277, 9890, 476, 1724, 5463, 476, 1001, 277, 0, 305, 719, 710, 10552, 18873, 538, 26579, 454, 15542, 16847, 267, 476, 1001, 274, 454, 2026, 851, 540, 27514, 1416, 267, 6296, 1973, 4255, 616, 5227, 585, 782, 2021, 269, 1403, 891, 4255, 2697, 606, 3968, 610, 1776, 2783, 267, 2126, 666, 2569, 519, 1981, 540, 2800, 547, 519, 9176, 4807, 543, 1200, 4816, 269, 901, 1249, 6656, 2488, 1344, 593, 6296, 1973, 4255, 5342, 269, 634, 6656, 2501, 538, 21181, 540, 476, 2004, 563, 295, 4353, 267, 26579, 267, 543, 30926, 2422, 454, 15542, 16847, 267, 476, 1001, 280, 454, 1607, 1249, 6656, 6941, 602, 585, 2021, 2713, 609, 7486, 267, 7296, 10269, 1282, 6379, 666, 2333, 519, 8458, 602, 7486, 786, 581, 5293, 547, 519, 4816, 269, 15750, 2572, 616, 7396, 547, 948, 9176, 2021, 543, 1346, 4058, 513, 6379, 547, 16718, 610, 2569, 741, 10269, 946, 2529, 298, 308, 281, 476, 278, 268, 276, 1428, 454, 295, 4353, 281, 13245, 21250, 17473, 543, 13245, 9040, 625, 454, 1607, 27412, 568, 2966, 585, 2021, 2713, 609, 7486, 945, 616, 4058, 513, 6379, 610, 616, 2907, 9176, 269, 11762, 1331, 2596, 7486, 543, 7486, 2126, 1344, 267, 875, 547, 3251, 2635, 1354, 543, 1282, 6379, 267, 2189, 2152, 602, 949, 3068, 2021, 2713, 609, 7486, 267, 543, 1141, 547, 979, 585, 811, 1344, 543, 1489, 269, 634, 27412, 568, 606, 9337, 547, 519, 3105, 7486, 543, 6379, 5829, 30732, 7410, 3177, 676, 519, 32527, 520, 3832, 9774, 10644, 4659, 2529, 298, 308, 281, 476, 278, 268, 22650, 0, 293, 29183, 29661, 1222, 538, 14451, 4065, 1107, 513, 9167, 5133, 3244, 821, 645, 3201, 291, 19798, 2752, 6020, 5149, 661, 269, 272, 29661, 1222, 563, 13775, 676, 9556, 1881, 936, 476, 276, 1296, 3516, 454, 303, 19948, 593, 6249, 281, 834, 293, 29183, 29661, 1222, 538, 14451, 4065, 1107, 513, 9167, 5133, 3244, 821, 645, 3201, 291, 19798, 2752, 6020, 5149, 661, 269, 272, 29661, 1222, 1701, 1765, 19809, 13973, 912, 293, 29183, 29661, 1222, 538, 14451, 4065, 1107, 513, 9167, 5133, 3244, 821, 645, 3201, 291, 19798, 2752, 6020, 5149, 661, 269, 272, 29661, 1222, 454, 14240, 540, 29661, 1222, 29661, 1222, 4016, 547, 606, 1367, 779, 2702, 547, 2490, 2093, 883, 2962, 269, 898, 2882, 5876, 267, 5647, 543, 1981, 2921, 267, 607, 1134, 607, 519, 2702, 547, 1544, 543, 4383, 3785, 538, 1931, 547, 3035, 6859, 269, 901, 7028, 3025, 538, 1554, 3562, 6377, 1272, 693, 1753, 543, 538, 2486, 267, 2306, 5520, 811, 3222, 540, 519, 2796, 540, 741, 960, 543, 1732, 2111, 547, 28958, 3255, 267, 543, 2488, 513, 5748, 585, 11639, 9591, 513, 1514, 610, 5010, 2534, 630, 1220, 277, 24805, 566, 593, 6206, 14847, 1878, 585, 17151, 13717, 4804, 994, 29619, 29661, 1222, 568, 711, 18481, 7471, 538, 519, 6437, 540, 16777, 3674, 634, 5354, 540, 20835, 6030, 616, 6035, 538, 1870, 543, 2804, 2090, 932, 1734, 540, 1373, 6534, 547, 661, 292, 616, 2362, 950, 519, 2875, 568, 19801, 538, 513, 1870, 1153, 610, 513, 23499, 9872, 609, 513, 1870, 1153, 269, 2859, 982, 3368, 540, 519, 2875, 2551, 538, 2342, 798, 711, 723, 1569, 547, 29661, 1222, 4065, 454, 5415, 1239, 689, 519, 476, 1220, 279, 3864, 11752, 8307, 476, 272, 270, 275, 540, 7463, 543, 476, 272, 270, 274, 540, 23499, 5238, 1510, 513, 1870, 1153, 2709, 20835, 29661, 1222, 1034, 4122, 6035, 547, 15938, 610, 10927, 1053, 267, 7864, 6030, 585, 12854, 1053, 29661, 1222, 2069, 568, 1869, 1799, 1155, 281, 1419, 1268, 9141, 543, 4470, 2390, 519, 3646, 540, 2043, 769, 1152, 476, 736, 260, 540, 16777, 3674, 519, 3450, 5234, 1590, 10929, 2866, 538, 1931, 547, 4001, 20835, 269, 10815, 982, 476, 272, 270, 274, 540, 5234, 3450, 20835, 1185, 4052, 1995, 609, 20835, 3544, 24243, 563, 22826, 2645, 1703, 568, 513, 7934, 1063, 2409, 4294, 543, 1346, 602, 616, 2938, 607, 519, 1034, 2500, 15232, 2861, 2409, 616, 2629, 281, 2757, 15338, 690, 625, 630, 937, 999, 264, 616, 711, 519, 1034, 2500, 4107, 2500, 2409, 8612, 281, 1895, 2553, 585, 1007, 1870, 2093, 267, 2013, 2090, 267, 1870, 4058, 11925, 12708, 3693, 281, 15385, 6302, 1063, 10459, 267, 543, 3818, 16162, 9918, 5698, 454, 3682, 21793, 270, 11917, 560, 8163, 10374, 720, 540, 7616, 18320, 1906, 20485, 540, 20835, 9741, 24539, 543, 8007, 585, 3610, 11120, 738, 625, 543, 13623, 4043, 547, 960, 14384, 22994, 1006, 1063, 16777, 3674, 543, 1870, 568, 1970, 16777, 3674, 616, 711, 18481, 3238, 609, 741, 620, 30282, 454, 288, 2388, 585, 16777, 3674, 5590, 909, 513, 4640, 610, 2962, 1544, 8073, 606, 29426, 13398, 20644, 4367, 547, 20835, 547, 782, 267, 543, 3255, 547, 1246, 811, 1808, 6030, 5590, 909, 15314, 547, 18663, 543, 8007, 5234, 11559, 519, 21245, 11036, 540, 1053, 13815, 17099, 585, 2238, 543, 4052, 960 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 3034, 22826, 5137, 1143, 267, 799, 568, 9003, 1759, 593, 3909, 4978, 602, 3668, 1022, 3621, 2963, 267, 538, 1857, 3506, 568, 9090, 606, 3801, 547, 3715, 513, 4984, 676, 519, 2229, 269, 7040, 2665, 267, 971, 607, 918, 6308, 332, 14525, 642, 269, 667, 1478, 9351, 3427, 10588, 543, 29885, 642, 269, 3397, 340, 650, 731, 616, 2565, 5480, 3664, 799, 723, 15653, 3450, 540, 5137, 1143, 1317, 621, 568, 513, 3909, 3661, 563, 11039, 267, 835, 851, 540, 17039, 17358, 519, 11156, 543, 2257, 269, 4340, 547, 519, 2817, 4741, 585, 3163, 4065, 267, 634, 20252, 3474, 880, 3427, 8274, 267, 799, 8060, 519, 6437, 543, 3450, 4507, 585, 3506, 538, 1715, 20252, 267, 20366, 547, 7333, 519, 3450, 540, 5137, 1143, 607, 2257, 269, 634, 1007, 3609, 4481, 536, 753, 3610, 689, 1519, 968, 1415, 2460, 540, 3909, 5132, 892, 538, 2257, 6030, 543, 689, 1210, 1686, 9499, 14661, 547, 1331, 8567, 630, 514, 4704, 547, 7147, 1837, 4808, 799, 946, 3140, 14469, 1143, 1916, 763, 4890, 2262, 532, 540, 519, 519, 1007, 3609, 568, 1018, 782, 1153, 12545, 1058, 1489, 912, 5591, 1686, 1837, 4927, 581, 9516, 799, 814, 1044, 14661, 538, 13076, 609, 519, 3557, 540, 7147, 14469, 626, 4808, 6862, 4927, 1022, 2257, 1837, 581, 9516, 799, 6799, 5137, 1143, 610, 10995, 1374, 607, 2257, 610, 3621, 6436, 563, 8133, 269, 8786, 269, 1656, 9811, 269, 11822, 543, 547, 519, 1448, 267, 543, 5693, 17548, 1018, 1058, 581, 6026, 547, 1453, 269, 1403, 789, 1616, 547, 1451, 827, 930, 7301, 1686, 1759, 593, 10764, 267, 610, 4550, 1606, 7220, 4978, 267, 1451, 621, 693, 1753, 269, 634, 1857, 1153, 1058, 711, 5512, 621, 563, 3719, 972, 779, 811, 912, 5591, 4116, 540, 1022, 9015, 540, 2257, 4927, 4001, 1022, 2460, 540, 3909, 5132, 607, 2257, 610, 538, 513, 2257, 1362, 269, 3143, 4116, 540, 1022, 9015, 540, 2257, 4927, 4001, 5137, 1143, 610, 10995, 1374, 538, 5049, 11280, 607, 2257, 5049, 563, 763, 856, 4707, 5518, 540, 519, 20252, 3427, 8274, 267, 7338, 7605, 747, 14513, 267, 7150, 602, 968, 15290, 713, 729, 2944, 538, 7147, 267, 782, 713, 2911, 729, 1018, 7372, 3310, 1131, 798, 538, 824, 2829, 269, 1284, 1616, 547, 1118, 2386, 3214, 616, 6026, 1686, 602, 814, 1044, 5265, 17022, 1540, 676, 19174, 543, 5423, 585, 741, 4616, 16634, 594, 723, 1100, 1966, 3450, 1496, 516, 5554, 542, 316, 538, 513, 4984, 610, 6138, 1362, 267, 855, 519, 2257, 1362, 568, 711, 519, 3617, 1747, 585, 621, 3034, 6124, 20252, 568, 1175, 835, 851, 630, 320, 2462, 851, 264, 540, 17039, 267, 865, 621, 779, 513, 1434, 1900, 538, 519, 1318, 4287, 269, 1656, 519, 1053, 538, 602, 8664, 786, 4324, 689, 713, 3609, 267, 1317, 789, 666, 581, 3173, 267, 3744, 267, 7189, 267, 610, 1175, 13473, 609, 1697, 2565, 3206, 1983, 563, 12552, 1715, 20252, 563, 4415, 2463, 547, 4720, 27102, 15424, 2238, 267, 476, 1001, 273, 729, 513, 9425, 1434, 1032, 585, 2257, 269, 2986, 1576, 267, 17906, 5293, 519, 4550, 1606, 7220, 3933, 4486, 9291, 267, 799, 5000, 3610, 547, 1459, 519, 968, 27023, 881, 9342, 543, 3621, 12755, 892, 540, 2518, 8337, 543, 4720, 269, 2986, 1576, 267, 972, 568, 1100, 968, 27023, 881, 8467, 2223, 1175, 2797, 9840, 602, 723, 1100, 3621, 10083, 269, 1809, 2829, 899, 18518, 630, 10843, 513, 695, 4319, 323, 23603, 540, 513, 14891, 9777, 1807, 1070, 20274, 267, 17665, 267, 1715, 24900, 543, 16713, 8959, 547, 1780, 6069, 1884, 773, 23728, 9086, 267, 6140, 998, 25931, 2152, 267, 855, 849, 538, 606, 909, 543, 1524, 8917, 538, 1715, 24900, 563, 4415, 519, 3932, 540, 519, 2487, 30814, 9550, 267, 9241, 4646, 1533, 9777, 2137, 616, 4058, 741, 476, 1001, 274, 15424, 3292, 269, 1924, 602, 1797, 1318, 13617, 267, 4550, 1606, 7220, 9777, 2209, 538, 811, 15061, 2829, 616, 2469, 547, 2899, 1586, 7903, 4720, 1673, 523, 3539, 9086, 563, 1103, 23497, 267, 1533, 11724, 894, 22110, 2023, 674, 29234, 630, 11847, 3016, 534, 264, 568, 2469, 547, 6338, 513, 3915, 602, 786, 2154, 519, 3450, 540, 968, 842, 3485, 550, 1374, 2108, 267, 513, 1106, 540, 5137, 1143, 269, 901, 10421, 1131, 581, 538, 4655, 609, 519, 476, 1220, 276, 918, 6308, 332, 14525, 642, 269, 667, 1478, 9351, 3427, 10588, 267, 1141, 27674, 14554, 6707, 11130, 602, 10995, 1374, 568, 513, 1106, 540, 5137, 1143, 267, 543, 602, 519, 667, 1478, 1153, 4604, 3609, 26991, 519, 19372, 618, 1849, 1021, 540, 519, 3689, 14821, 547, 519, 2136, 2276, 9139, 269, 634, 9561, 27779, 1996, 519, 667, 1478, 1153, 8664, 1942, 873, 936, 1269, 272, 2929, 267, 2724, 799, 1223, 723, 1044, 1031, 585, 5301, 971, 607, 3450, 1453, 1483, 2257, 269, 594, 666, 1152, 28756, 675, 2436, 519, 3915, 786, 1331, 7616, 585, 1153, 13102, 602, 2936, 713, 1761, 10421, 547, 9718, 1996, 519, 17149, 13338, 4031, 7057, 563, 20118, 267, 538, 18518, 267, 1533, 6845, 1807, 667, 12447, 918, 745, 572, 630, 11847, 3016, 534, 264, 814, 5143, 513, 11356, 602, 646, 4566, 547, 6338, 513, 3915, 9247, 2854, 676, 519, 20570, 4659, 630, 320, 1875, 17416, 3909, 968, 20459, 7382, 892, 4583, 585, 922, 8942, 693, 3478, 10995, 1374, 6026, 538, 1977, 3506, 1040, 3571, 3915, 786, 581, 2147, 547, 519, 27069, 3933, 4486, 9291, 538, 17906, 543, 1776, 835, 602, 729, 5293, 538, 17039, 538, 476, 1220, 279, 267, 519, 3765, 548, 611, 5944, 3957, 17039, 3163, 4065, 2920, 563, 296, 666, 1152, 4126, 602, 607, 5949, 2063, 1032, 267, 2901, 519, 1533, 9777, 2137, 6430, 602, 519, 2070, 540, 519, 1977, 1528, 28672, 814, 6410, 593, 689, 713, 4550, 1606, 7220, 21169, 267, 610, 789, 1175, 6430, 972, 616, 811, 1271, 2152, 593, 519, 546, 12714, 563, 763, 1533, 540, 4639, 9098, 630, 310, 309, 264, 814, 835, 540, 519, 27162, 4554, 1126, 12674, 6042, 538, 519, 2136, 2276, 267, 711, 3850, 1022, 3909, 23614, 687, 547, 25750, 2838, 1354, 11504, 1153, 269, 8307, 14967, 814, 6042, 713, 7453, 585, 1450, 762, 23614, 687, 269, 2986, 1576, 267, 607, 594, 723, 2854, 267, 3909, 23614, 687, 723, 1044, 26884, 676, 6669, 3954, 4536, 676, 2870, 968, 325, 820, 892, 10764, 865, 602, 3237, 685, 17617, 3147, 1588, 4978, 786, 581, 6444, 676, 519, 1533, 269, 769, 1249, 267, 1152, 2564, 23614, 687, 616, 7608, 676, 519, 1533, 630, 23486, 1070, 543, 741, 4441, 593, 945, 666, 2743, 519, 2564, 608, 18277, 616, 3833, 9157, 269, 0, 11405, 547, 581, 9447, 538, 476, 3607, 3108, 12898, 19027, 454, 1432, 568, 11108, 3747, 7455, 888, 1432, 568, 519, 3017, 1063, 10137, 543, 2333, 538, 519, 3747, 7455, 543, 19432, 543, 6175, 538, 519, 3747, 7455, 11631, 888, 12047, 663, 539, 269, 4208, 286, 536, 269, 1548, 568, 519, 8589, 2121, 10626, 630, 4621, 10179, 21045, 264, 950, 519, 2344, 3902, 568, 1269, 476, 275, 269, 876, 829, 7273, 269, 1946, 286, 524, 269, 13159, 519, 3349, 540, 519, 3747, 8430, 543, 3113, 519, 3747, 2483, 272, 269, 589, 30049, 626, 8188, 519, 3747, 7455, 1627, 815, 476, 2568, 6261, 270, 273, 269, 634, 1942, 1599, 568, 595, 284, 304, 273, 269, 4855, 519, 3977, 602, 12366, 2478, 713, 30049, 626, 779, 12434, 269, 1548, 616, 519, 5777, 693, 12434, 543, 602, 3977, 286, 4855, 454, 1432, 568, 519, 1655, 1259, 547, 2491, 519, 2474, 11108, 3747, 538, 519, 1106, 540, 922, 2495, 543, 6516, 563, 6343, 568, 10137, 540, 3747, 543, 2333, 538, 3747, 454, 12047, 663, 7455, 585, 688, 1844, 7491, 693, 570, 11446, 22458, 5071, 568, 623, 815, 476, 2412, 1107, 476, 271, 269, 2412, 304, 1141, 1627, 568, 519, 454, 15893, 540, 11912, 829, 3018, 543, 623, 568, 519, 3902, 540, 688, 1844, 583, 269, 2311, 513, 3902, 540, 1269, 1428, 2676, 29019, 570, 11446, 6318, 519, 3902, 454, 763, 3747, 7455, 585, 476, 4366, 892, 590, 3415, 6366, 5496, 751, 4582, 2888, 568, 2693, 547, 1847, 547, 519, 1318, 950, 7082, 26038, 2333, 563, 763, 3747, 7455, 585, 476, 4366, 892, 590, 3415, 6366, 5496, 751, 4582, 2888, 568, 2693, 454, 18528, 518, 1338, 1063, 513, 3339, 543, 11108, 3747, 7455, 269, 11512, 609, 12222, 454, 23251, 3907, 880, 1063, 513, 1689, 538, 3747, 543, 5279, 538, 7274, 18796, 454, 292, 21643, 910, 24637, 2483, 718, 13050, 2112, 267, 543, 519, 2483, 19968, 13188, 14581, 6435, 6355, 13188, 1797, 968, 31754, 538, 9746, 1604, 6100, 901, 1826, 540, 9297, 28352, 2483, 2562, 9898, 2793, 3582, 3201, 18598, 634, 1775, 562, 1181, 1049, 4123, 568, 5385, 540, 519, 3854, 267, 519, 5370, 267, 543, 519, 2533, 269, 1452, 3854, 267, 5370, 543, 2533, 616, 2483, 21547, 19172, 21643, 5839, 19172, 21643, 568, 5059, 593, 519, 3350, 543, 3466, 538, 519, 4346, 607, 513, 2898, 267, 1247, 538, 2890, 31754, 519, 1445, 568, 5116, 593, 2188, 2483, 10048, 4526, 658, 13188, 6435, 4340, 547, 3798, 7773, 32617, 7615, 267, 15440, 658, 9297, 568, 834, 935, 1356, 2740, 609, 3498, 540, 2804, 2035, 543, 2804, 2079, 2483, 19859, 31754, 5843, 31754, 281, 519, 14694, 2495, 540, 5259, 2262, 2048, 332, 2222, 685, 568, 1507, 610, 8792, 543, 18772, 532, 621, 609, 9297, 1797, 8792, 268, 2483, 292, 21643, 1107, 4033, 11762, 13188, 568, 513, 1514, 2257, 7255, 609, 519, 2079, 540, 519, 2504, 267, 3892, 267, 543, 4616, 540, 5370, 543, 1862, 0, 3725, 1177, 23818, 6987, 3307, 15661, 454, 257, 30706, 2094, 519, 476, 1960, 274, 3625, 321, 13831, 30083, 26226, 5244, 267, 519, 7872, 540, 8744, 17255, 2249, 1394, 547, 1272, 814, 1044, 851, 540, 938, 7104, 9345, 269, 634, 4670, 267, 1759, 593, 513, 7812, 595, 5341, 2023, 3209, 267, 729, 3294, 6273, 676, 4890, 3621, 23484, 538, 519, 2038, 476, 1960, 271, 338, 602, 4847, 3744, 547, 946, 5027, 689, 9754, 15013, 543, 15455, 547, 30712, 519, 11646, 2443, 610, 4719, 29685, 2443, 540, 4666, 2831, 269, 1879, 519, 4670, 3181, 3176, 519, 2257, 7012, 1406, 4359, 2614, 547, 3142, 1394, 17255, 2249, 269, 1809, 2221, 621, 1522, 1134, 581, 267, 543, 3173, 685, 3395, 3646, 547, 30712, 17255, 2249, 2443, 538, 22475, 689, 4993, 547, 5245, 2443, 723, 1044, 1818, 24657, 563, 2005, 3884, 1406, 2009, 547, 3142, 17878, 1394, 547, 1272, 267, 3744, 2161, 267, 1317, 5027, 568, 1932, 28811, 1310, 6634, 540, 1296, 269, 1809, 960, 568, 1631, 25093, 547, 3142, 1394, 811, 5063, 17255, 2249, 267, 1519, 1382, 693, 519, 2160, 540, 4993, 4149, 9017, 30434, 6322, 693, 19620, 18213, 25190, 976, 267, 543, 12370, 3744, 685, 8942, 547, 3142, 1394, 519, 15144, 569, 7882, 1054, 267, 799, 19532, 12239, 7710, 538, 713, 3368, 16923, 17245, 267, 1234, 1177, 23818, 6987, 3307, 15661, 4799, 19400, 519, 2027, 543, 1451, 811, 827, 519, 1686, 543, 2055, 4478, 713, 1950, 1382, 693, 1341, 12702, 12239, 3163, 0, 20124, 609, 476, 272, 4063, 454, 293, 2775, 31924, 18238, 26304, 24522, 267, 667, 12569, 267, 667, 15598, 267, 5822, 2622, 2782, 3703, 9576, 5794, 10414, 25142, 12681, 538, 519, 15483, 335, 527, 540, 1010, 1975, 527, 13933, 269, 634, 476, 2918, 2220, 770, 11986, 900, 21793, 20301, 1010, 19666, 24984, 563, 7628, 519, 11135, 540, 6628, 476, 6642, 17241, 293, 20466, 21804, 6913, 519, 11984, 540, 968, 864, 892, 630, 325, 633, 9672, 24984, 1040, 24522, 729, 519, 17241, 293, 779, 1034, 3811, 267, 15246, 1524, 476, 2641, 4436, 8484, 267, 1034, 540, 799, 941, 11619, 619, 577, 18283, 25881, 267, 1282, 519, 4832, 540, 476, 3707, 271, 563, 29820, 538, 2701, 9749, 12064, 267, 24522, 1185, 8678, 519, 17241, 293, 538, 476, 4350, 280, 543, 729, 11540, 547, 1100, 269, 6078, 27805, 1258, 17241, 293, 595, 2660, 1157, 267, 3345, 962, 3311, 267, 1354, 28099, 7877, 547, 17241, 293, 24125, 577, 3420, 267, 10507, 16303, 563, 4002, 476, 1704, 5437, 476, 3707, 271, 1010, 8293, 611, 1258, 16091, 513, 5250, 540, 476, 3583, 645, 325, 476, 11820, 338, 602, 941, 1283, 3382, 585, 513, 17177, 828, 986, 573, 593, 5507, 269, 2991, 15246, 1524, 835, 645, 325, 476, 11820, 267, 543, 4259, 1776, 593, 3595, 267, 24522, 779, 1975, 527, 13933, 729, 5734, 676, 513, 2019, 2917, 540, 666, 12061, 16115, 267, 799, 16094, 13676, 1010, 1318, 6186, 543, 1312, 7953, 269, 634, 21448, 849, 5679, 18088, 519, 555, 8527, 1479, 18385, 1930, 676, 1812, 532, 519, 1852, 11573, 267, 7175, 519, 1975, 527, 13933, 547, 17108 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 4584, 513, 1505, 543, 6529, 547, 621, 269, 594, 849, 11291, 7487, 606, 2376, 827, 875, 519, 5540, 540, 22726, 689, 1880, 6801, 666, 2014, 11254, 7408, 547, 1106, 538, 835, 19942, 1145, 936, 1776, 269, 1703, 786, 581, 606, 7778, 267, 649, 1175, 10093, 1405, 1336, 621, 2943, 563, 296, 1589, 267, 1498, 267, 602, 713, 568, 2943, 1776, 29172, 2376, 689, 4432, 3204, 602, 3217, 513, 10257, 8367, 543, 695, 1080, 782, 936, 621, 609, 2283, 1049, 2817, 2037, 638, 790, 337, 899, 5409, 321, 1961, 269, 634, 812, 1767, 602, 621, 781, 2009, 519, 11254, 7408, 593, 3047, 12090, 11992, 543, 621, 781, 849, 2009, 602, 5027, 689, 938, 4541, 814, 18188, 856, 883, 519, 26355, 269, 1261, 1705, 711, 2303, 538, 519, 13581, 652, 602, 17878, 3710, 2230, 9635, 543, 24363, 2476, 563, 19285, 1810, 1405, 1174, 1946, 834, 527, 5949, 12341, 3116, 543, 1287, 3893, 9447, 1934, 676, 14368, 924, 257, 568, 683, 831, 982, 834, 527, 5949, 1934, 257, 4799, 296, 1589, 646, 729, 6158, 827, 952, 1272, 3029, 941, 1336, 593, 824, 10785, 941, 834, 3847, 19942, 257, 865, 547, 3717, 16220, 899, 3047, 269, 10787, 811, 2693, 602, 891, 2679, 7161, 616, 782, 936, 519, 14925, 982, 519, 2596, 2679, 7161, 3323, 1934, 543, 3262, 782, 936, 519, 14925, 563, 11917, 16227, 922, 1175, 513, 2219, 3635, 693, 713, 1448, 267, 952, 649, 3605, 17973, 593, 9370, 610, 1945, 621, 949, 8774, 513, 3787, 811, 1769, 267, 855, 1318, 1631, 519, 2963, 649, 723, 7028, 2901, 4781, 563, 14187, 2243, 269, 898, 781, 1317, 834, 7562, 3563, 257, 543, 834, 1372, 343, 614, 257, 3277, 4481, 547, 519, 2451, 1688, 543, 1318, 1688, 5011, 540, 606, 1843, 267, 6466, 834, 331, 2801, 17383, 257, 543, 834, 1372, 868, 549, 257, 3277, 547, 519, 6207, 8846, 269, 898, 781, 519, 3017, 1063, 6031, 834, 339, 820, 519, 4155, 547, 707, 2451, 257, 543, 834, 339, 1248, 2451, 2580, 952, 596, 1294, 1018, 594, 1611, 563, 10214, 3425, 723, 818, 4513, 1932, 2462, 1932, 20354, 12740, 909, 543, 17108, 547, 3507, 762, 3432, 269, 594, 798, 711, 1589, 2558, 2335, 903, 19653, 786, 6749, 1524, 538, 513, 3991, 7781, 3926, 4166, 269, 1656, 1287, 1586, 267, 1946, 711, 2743, 873, 286, 5221, 561, 19123, 14797, 616, 2868, 16072, 1014, 796, 16591, 888, 12179, 3118, 267, 594, 3314, 930, 1957, 827, 875, 519, 669, 597, 1275, 2501, 827, 1813, 547, 1496, 1492, 9059, 540, 316, 7523, 12519, 6419, 4610, 2324, 593, 11254, 7408, 12617, 538, 635, 1115, 269, 1924, 972, 563, 4517, 593, 513, 2484, 4541, 267, 649, 1224, 912, 257, 5719, 987, 10060, 513, 701, 30659, 1223, 4341, 14925, 8627, 268, 13298, 982, 12955, 856, 538, 519, 27452, 1396, 21987, 540, 513, 575, 514, 768, 748, 20503, 1764, 267, 3284, 525, 593, 3047, 949, 723, 3079, 3262, 547, 824, 10785, 543, 3710, 513, 32049, 2230, 8410, 638, 1359, 10504, 2807, 4840, 763, 12918, 540, 10451, 513, 14368, 609, 1808, 669, 597, 1275, 616, 10924, 547, 581, 1732, 982, 952, 621, 568, 8345, 538, 17542, 540, 4025, 2066, 519, 2627, 540, 519, 4541, 269, 1403, 519, 14368, 3338, 543, 1346, 11353, 1831, 519, 4493, 540, 519, 5946, 543, 14836, 585, 519, 10785, 267, 621, 568, 10257, 585, 519, 4541, 547, 723, 513, 4630, 18100, 1604, 563, 5472, 602, 1373, 1767, 267, 713, 568, 1259, 856, 593, 519, 23019, 6316, 910, 1259, 1259, 3544, 2257, 543, 1454, 811, 538, 13299, 267, 4849, 519, 1630, 742, 1231, 609, 782, 519, 5022, 1193, 2426, 3297, 741, 4408, 1810, 1405, 899, 547, 16153, 621, 563, 6097, 547, 713, 2376, 513, 14368, 1223, 3560, 1152, 2451, 17973, 952, 267, 899, 609, 519, 20503, 1764, 593, 3618, 267, 621, 3357, 689, 513, 4541, 602, 1185, 2907, 7960, 834, 3847, 1759, 257, 1272, 563, 3719, 607, 513, 4358, 1448, 593, 922, 1378, 267, 621, 1223, 540, 1576, 4163, 2901, 563, 2026, 2427, 4063, 267, 1215, 1279, 1354, 1975, 1408, 6199, 814, 570, 1234, 343, 781, 887, 5446, 2066, 17455, 7702, 585, 30083, 26226, 5244, 476, 275, 286, 769, 476, 274, 291, 540, 1576, 2483, 8002, 1302, 256, 3025, 945, 3081, 834, 309, 1195, 4526, 12558, 2433, 5940, 656, 18882, 476, 1960, 278, 257, 1705, 621, 1101, 707, 14174, 6579, 9745, 318, 349, 454, 2005, 729, 519, 1292, 834, 516, 557, 531, 257, 540, 519, 3803, 12558, 540, 834, 22129, 2433, 26361, 543, 15332, 257, 476, 1960, 276, 268, 1960, 277, 454, 307, 29354, 856, 519, 834, 2419, 12127, 257, 630, 8932, 839, 3983, 28621, 903, 264, 941, 2965, 26731, 689, 2901, 29318, 543, 5924, 667, 3626, 781, 5027, 535, 2038, 3618, 269, 898, 729, 3262, 2066, 519, 14925, 950, 519, 589, 3122, 1355, 602, 7166, 519, 667, 542, 781, 5734, 3618, 2483, 283, 32621, 285, 519, 18265, 268, 2023, 14368, 924, 1764, 602, 7166, 519, 17878, 476, 4792, 2929, 1296, 3516, 949, 723, 1025, 16556, 1055, 1507, 11353, 540, 21300, 5027, 856, 883, 2230, 269, 1656, 3833, 513, 2603, 540, 1346, 11353, 540, 546, 3626, 21307, 11538, 4224, 786, 723, 15354, 593, 21443, 762, 10785, 267, 2161, 519, 1957, 781, 4589, 9572, 32621, 11417, 9989, 713, 1611, 602, 2576, 6926, 2644, 267, 12662, 930, 2281, 538, 513, 20220, 267, 3217, 513, 29746, 610, 8726, 267, 15920, 621, 856, 883, 2230, 543, 3649, 1080, 585, 621, 547, 16154, 5196, 513, 4541, 621, 786, 15514, 534, 2801, 3585, 3142, 8521, 1272, 888, 2414, 3142, 713, 883, 519, 26441, 540, 1373, 1163, 790, 7695, 267, 1018, 952, 649, 6749, 930, 4155, 6146, 593, 23047, 269, 786, 621, 10778, 320, 269, 1694, 972, 543, 581, 4411, 11014, 563, 321, 269, 5614, 8521, 1272, 888, 295, 517, 652, 569, 267, 708, 8049, 269, 621, 4667, 513, 512, 611, 936, 13678, 680, 1881, 563, 287, 293, 842, 534, 281, 834, 9989, 713, 1611, 602, 2576, 6926, 2644, 267, 12662, 930, 2281, 538, 513, 20220, 267, 3217, 513, 29746, 610, 8726, 267, 15920, 621, 856, 883, 2230, 543, 3649, 1080, 585, 621, 547, 16154, 5196, 513, 4541, 621, 786, 15514, 534, 2801, 3585, 3142, 8521, 1272, 24350, 2005, 781, 3592, 513, 22979, 602, 1272, 814, 693, 2547, 10272, 519, 824, 10785, 538, 938, 1378, 3859, 1062, 910, 621, 949, 723, 1256, 15068, 269, 2368, 3029, 540, 6132, 1156, 267, 585, 1383, 267, 666, 7639, 9985, 1134, 538, 2230, 630, 1410, 12723, 547, 519, 12511, 543, 5982, 1040, 31035, 689, 1558, 324, 832, 1025, 8463, 8631, 883, 2230, 267, 621, 781, 2009, 649, 4312, 1256, 10299, 1945, 538, 519, 3937, 649, 4312, 2366, 547, 9370, 3092, 563, 257, 1862, 2368, 3029, 540, 6132, 1156, 267, 585, 1383, 267, 666, 7639, 9985, 1134, 538, 2230, 630, 1410, 12723, 547, 519, 12511, 543, 5982, 1040, 31035, 689, 1558, 324, 832, 1025, 8463, 8631, 883, 2230, 267, 621, 781, 2009, 649, 4312, 1256, 10299, 1945, 538, 519, 3937, 649, 4312, 2366, 547, 9370, 3092, 269, 10371, 4799, 31800, 1695, 855, 1018, 2186, 540, 2706, 5905, 6132, 1156, 1131, 7639, 10024, 1776, 10785, 5790, 593, 519, 1394, 540, 930, 1166, 2459, 532, 2230, 4224, 1862, 15983, 621, 1131, 6633, 909, 593, 556, 268, 18782, 888, 287, 305, 3041, 290, 13013, 281, 834, 6343, 2186, 540, 2706, 5905, 6132, 1156, 1131, 7639, 10024, 1776, 10785, 5790, 593, 519, 1394, 540, 930, 1166, 2459, 532, 2230, 4224, 4840, 2252, 1945, 568, 30275, 539, 689, 519, 2627, 540, 519, 3618, 676, 513, 5458, 1764, 267, 972, 781, 1100, 2601, 547, 15475, 621, 568, 8209, 6378, 547, 513, 4224, 269, 1656, 1317, 972, 568, 1100, 11508, 547, 3500, 606, 1843, 538, 2230, 267, 621, 786, 2951, 11884, 2394, 621, 781, 6537, 883, 519, 14965, 2361, 540, 513, 3677, 1560, 269, 634, 5266, 1970, 5860, 540, 1945, 899, 6132, 1156, 1058, 1450, 621, 547, 632, 5120, 622, 1510, 5337, 1746, 543, 7444, 20847, 547, 519, 2627, 269, 670, 4007, 9424, 540, 7452, 7017, 593, 519, 3618, 538, 713, 6073, 269, 1411, 1522, 849, 973, 565, 937, 602, 513, 4224, 689, 9370, 729, 1336, 593, 3047, 267, 543, 729, 7620, 2219, 547, 2270, 519, 3788, 540, 513, 2713, 11248, 269, 634, 1482, 1184, 1223, 3362, 4755, 538, 9258, 267, 1775, 4318, 269, 689, 3047, 547, 9370, 269, 1809, 621, 1223, 2141, 723, 1743, 26661, 1318, 856, 540, 938, 3859, 1062, 1932, 563, 763, 1483, 8594, 568, 602, 519, 546, 3626, 5937, 2793, 7263, 1746, 11935, 10301, 606, 20948, 4541, 1354, 519, 18714, 13739, 540, 30083, 26226, 5244, 568, 6707, 1232, 10757, 543, 930, 18174, 880, 3744, 3801, 547, 804, 821, 519, 5027, 269, 2986, 1576, 267, 519, 1394, 3562, 1922, 3224, 11254, 7408, 602, 519, 3744, 786, 1100, 8969, 581, 7768, 540, 568, 2693, 547, 2285, 570, 1234, 343, 513, 3983, 2013, 540, 29463, 267, 855, 602, 3513, 1152, 4196, 547, 1118, 1864, 1256, 1835, 1678, 1512, 19601, 1862, 16269, 2097, 1394, 538, 741, 772, 293, 11675, 547, 3484, 721, 563, 8450, 849, 6424, 594, 322, 651, 267, 3092, 563, 8002, 1302, 1022, 2230, 1922, 2130, 2528, 1131, 723, 547, 581, 4853, 2073, 543, 1022, 4853, 2528, 568, 2469, 547, 4734, 15244, 602, 1058, 1869, 581, 7298, 910, 1256, 1310, 476, 4792, 2929, 1296, 563, 3383, 4440, 711, 1287, 563, 3719, 621, 781, 1869, 513, 1434, 1650, 269, 2433, 994, 28791, 789, 946, 9059, 267, 15069, 563, 5475, 476, 4792, 2929, 1296, 1256, 519, 3500, 29684, 10824, 616, 2469, 547, 723, 6410, 513, 7008, 540, 8536, 21240, 267, 543, 519, 2656, 3283, 5595, 602, 269, 2334, 1797, 1034, 540, 519, 2963, 540, 606, 4853, 3540, 5314, 568, 2469, 547, 723, 1044, 1016, 2265, 539, 1394, 896, 519, 12933, 563, 31374, 540, 513, 2973, 909, 543, 1376, 1586, 1062, 910, 513, 2347, 25430, 1169, 476, 1911, 2929, 1296, 610, 865, 563, 257, 5475, 476, 4792, 2929, 1296, 1256, 519, 3500, 29684, 10824, 616, 2469, 547, 723, 6410, 513, 7008, 540, 8536, 21240, 267, 543, 519, 2656, 3283, 5595, 602, 269, 2334, 1797, 1034, 540, 519, 2963, 540, 606, 4853, 3540, 5314, 568, 2469, 547, 723, 1044, 1016, 2265, 539, 1394, 896, 519, 12933, 4799, 288, 3873, 267, 519, 1482, 1184, 676, 799, 782, 2963, 540, 519, 6228, 540, 17878, 729, 10032, 267, 2495, 602, 649, 1631, 723, 1100, 2168, 2963, 789, 2479, 11478, 269, 3143, 8093, 2213, 7633, 267, 1100, 8093, 2213, 29066, 267, 1100, 13545, 1790, 527, 610, 993, 828, 15013, 269, 769, 1249, 267, 609, 865, 2370, 2963, 267, 649, 2760, 1256, 2022, 4327, 741, 6228, 610, 11827, 519, 2262, 21300, 2336, 3674, 621, 15002, 2065, 602, 17878, 1590, 11457, 1101, 1354, 11864, 286, 2598, 704, 572, 930, 11254, 7408, 547, 476, 1911, 5078, 10785, 267, 543, 17878, 5614, 8521, 538, 782, 540, 873, 269, 23703, 782, 17878, 267, 543, 11864, 786, 1491, 741, 1747, 888, 1432, 952, 519, 10785, 616, 5078, 585, 1272, 267, 855, 1683, 1114, 15128, 585, 4720, 286, 2290, 1522, 7957, 2293, 10760, 7068, 267, 1776, 1223, 581, 476, 4817, 260, 4988, 676, 1216, 269, 2052, 1405, 519, 1482, 11254, 7408, 6079, 11207, 1114, 5686, 540, 1272, 3029, 609, 1114, 23079, 267, 8219, 543, 10285, 1949, 888, 10498, 267, 865, 952, 519, 17878, 22821, 1405, 1044, 530, 21317, 856, 789, 1522, 1869, 4341, 519, 3047, 269, 1809, 2527, 970, 18728, 5949, 3833, 5781, 267, 865, 15983, 519, 17878, 2933, 1152, 3893, 513, 1413, 538, 1317, 519, 3105, 30085, 2249, 630, 26241, 756, 2103, 24047, 3893, 17515, 269, 12344, 519, 14925, 568, 2731, 2196, 676, 1007, 1206, 543, 4949, 565, 582, 3149, 2483, 1103, 606, 11466, 3510, 267, 1312, 3029, 1131, 581, 8449, 7123, 269, 634, 1184, 1572, 5198, 332, 5314, 1131, 2490, 606, 782, 5937, 610, 782, 6441, 4358, 1448, 883, 513, 7848, 540, 476, 2004, 260, 1142, 563, 3719, 519, 2713, 1591, 568, 711, 606, 11466, 3510, 281, 621, 568, 1018, 1250, 6323, 11000, 3464, 1572, 513, 26632, 894, 1062, 269, 901, 949, 581, 538, 513, 11931, 1533, 267, 855, 12346, 593, 513, 811, 610, 1447, 11931, 2095, 540, 1648, 563, 20751, 513, 26632, 894, 1062, 621, 568, 2009, 547, 4952, 602, 606, 19261, 267, 799, 3323, 693, 4351, 267, 1223, 581, 3172, 1881, 2394, 621, 729, 11207, 835, 21758, 563, 18693, 17190, 9499, 2491, 875, 519, 1950, 6675, 540, 1272, 723, 547, 581, 9846, 667, 610, 700, 865, 602, 789, 1439, 909, 538, 5812, 5546, 269, 1306, 1806, 267, 713, 568, 2877, 676, 11476, 282, 543, 568, 2877, 547, 1205, 513 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 279, 4239, 531, 476, 25090, 5379, 454, 1015, 27252, 476, 10755, 7176, 454, 1321, 13660, 1712, 31565, 476, 277, 1704, 273, 454, 736, 966, 580, 525, 2711, 476, 15433, 328, 454, 3607, 12476, 3607, 476, 10436, 324, 692, 1012, 9978, 9273, 630, 333, 815, 476, 10755, 7176, 2020, 2162, 18527, 692, 333, 9943, 328, 454, 562, 9943, 273, 476, 21076, 9834, 476, 28766, 11463, 476, 275, 2537, 10844, 476, 276, 3066, 3445, 692, 2162, 10406, 692, 14269, 454, 562, 22397, 482, 273, 476, 276, 3066, 280, 476, 31874, 273, 269, 6858, 476, 25784, 280, 269, 276, 476, 21076, 280, 269, 277, 692, 2162, 5890, 9426, 2747, 692, 14269, 454, 562, 273, 476, 12208, 28766, 2568, 275, 476, 15686, 271, 4097, 3422, 278, 866, 273, 476, 14695, 13923, 4510, 272, 6924, 274, 25484, 1626, 476, 15836, 7597, 277, 3374, 278, 277, 4817, 4792, 273, 271, 5325, 280, 6924, 692, 2162, 715, 628, 17848, 692, 328, 18414, 333, 454, 476, 273, 18414, 333, 476, 9083, 269, 280, 5325, 476, 2641, 269, 280, 4792, 276, 476, 1015, 269, 16409, 274, 476, 277, 269, 4343, 274, 3066, 692, 1012, 476, 10755, 7176, 607, 12166, 5546, 692, 2162, 17781, 692, 18924, 2678, 476, 21076, 9834, 476, 277, 4792, 8660, 269, 273, 476, 274, 269, 276, 2764, 6321, 324, 266, 5400, 692, 2162, 1975, 1877, 692, 11730, 476, 275, 269, 7176, 277, 6021, 324, 266, 1321, 476, 272, 269, 30329, 5655, 324, 266, 6021, 476, 277, 4792, 8660, 269, 273, 692, 2162, 12384, 692, 21920, 815, 562, 454, 32309, 476, 275, 2537, 10844, 476, 272, 269, 11277, 1240, 324, 266, 5400, 476, 14983, 9262, 269, 279, 692, 2162, 28116, 692, 21920, 815, 562, 454, 17183, 1858, 476, 277, 269, 278, 4375, 6187, 324, 266, 5400, 476, 272, 269, 5002, 4097, 324, 266, 1321, 476, 8146, 6321, 269, 274, 692, 2162, 4982, 10561, 21121, 692, 21920, 815, 562, 454, 32309, 476, 28766, 11463, 476, 275, 269, 279, 8287, 5392, 324, 266, 5881, 476, 280, 1704, 279, 269, 1691, 692, 2162, 10222, 9771, 30958, 692, 21920, 815, 562, 454, 17183, 1858, 476, 272, 269, 280, 3393, 275, 324, 266, 5400, 476, 272, 269, 29710, 10695, 324, 266, 1556, 476, 279, 4792, 274, 269, 2537, 692, 1012, 15303, 4919, 25300, 12793, 692, 30113, 276, 552, 277, 17304, 4962, 322, 5881, 321, 13893, 321, 277, 742, 275, 323, 272, 325, 323, 272, 7251, 273, 6277, 321, 28192, 476, 866, 320, 10711, 321, 11463, 539, 279, 325, 321, 273, 26501, 279, 320, 10463, 324, 4489, 276, 320, 279, 1789, 275, 323, 7251, 5881, 275, 325, 273, 320, 535, 11025, 323, 280, 325, 29574, 10623, 275, 325, 280, 3953, 324, 9032, 2378, 323, 278, 4375, 320, 273, 320, 14093, 323, 3393, 6767, 271, 321, 278, 320, 273, 320, 271, 659, 2420, 321, 7251, 23056, 20660, 14096, 275, 321, 278, 4029, 271, 476, 274, 611, 276, 6078, 280, 1815, 10623, 278, 325, 276, 2918, 4097, 17304, 277, 324, 271, 4391, 276, 320, 3147, 576, 320, 12893, 15171, 742, 274, 2801, 279, 2568, 320, 31620, 17304, 277, 324, 277, 325, 278, 11738, 321, 271, 324, 275, 322, 275, 320, 4375, 273, 31404, 16409, 3451, 7251, 27843, 276, 322, 6434, 275, 324, 1015, 320, 276, 6434, 323, 280, 325, 271, 322, 273, 324, 278, 5379, 320, 11011, 322, 276, 322, 2190, 629, 25320, 324, 278, 322, 6021, 274, 10037, 323, 476, 279, 322, 4649, 278, 876, 323, 5952, 272, 22396, 539, 322, 321, 279, 5655, 5038, 323, 7251, 6767, 271, 325, 6812, 277, 274, 325, 278, 323, 576, 764, 0, 2005, 568, 4867, 476, 1240, 8734, 476, 1001, 278, 267, 476, 6734, 281, 3607, 692, 2162, 17918, 11833, 11545, 16721, 692, 2971, 11289, 596, 585, 1210, 519, 22245, 910, 713, 4359, 1907, 666, 7447, 707, 2773, 543, 2303, 811, 2259, 2055, 269, 1284, 723, 20401, 539, 596, 547, 11545, 16721, 5999, 3842, 4757, 780, 20578, 1242, 454, 1721, 1411, 692, 933, 786, 4584, 1007, 2055, 602, 6474, 707, 1377, 1759, 593, 707, 7033, 518, 3778, 692, 9199, 1188, 692, 22336, 3018, 267, 649, 3580, 6494, 596, 606, 6059, 17918, 6060, 1759, 593, 707, 2773, 692, 20797, 454, 303, 904, 692, 933, 786, 4584, 1007, 2055, 602, 6474, 707, 1377, 1759, 593, 707, 7033, 518, 3778, 692, 258, 15638, 1299, 8871, 19600, 692, 30607, 15638, 1299, 8871, 19600, 538, 4873, 454, 15411, 26346, 25038, 692, 258, 589, 1053, 3328, 630, 541, 10379, 1611, 264, 1449, 6060, 593, 476, 275, 4255, 692, 2022, 16253, 7726, 8492, 20042, 3733, 3883, 12201, 17352, 12830, 3584, 454, 12041, 24606, 454, 307, 8980, 306, 1384, 2162, 31674, 16193, 692, 12421, 454, 16274, 281, 476, 5400, 8734, 476, 1220, 279, 454, 15803, 281, 476, 3066, 692, 20132, 19560, 476, 7906, 1496, 271, 3910, 2016, 281, 476, 271, 692, 288, 1053, 3328, 630, 541, 10379, 1611, 264, 1449, 6060, 593, 476, 275, 4255, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 1556, 8734, 476, 1220, 279, 267, 476, 1724, 281, 3451, 454, 272, 454, 1607, 2022, 729, 454, 19447, 10498, 300, 2752, 298, 3633, 454, 876, 281, 876, 692, 11795, 22187, 1384, 276, 260, 630, 869, 2020, 9223, 853, 1846, 1384, 11152, 260, 630, 876, 281, 2767, 264, 2953, 476, 278, 260, 630, 876, 281, 736, 264, 4636, 1759, 593, 476, 16960, 7886, 692, 2162, 31674, 17004, 22245, 10803, 692, 288, 2875, 781, 3328, 630, 541, 10379, 1611, 264, 1449, 6060, 593, 476, 275, 4255, 568, 476, 4281, 269, 1548, 1590, 581, 519, 2875, 781, 6060, 593, 513, 476, 276, 628, 1449, 585, 519, 2875, 781, 3328, 6060, 593, 519, 476, 276, 4255, 547, 581, 476, 3199, 2496, 10490, 264, 476, 3199, 454, 16360, 264, 476, 11025, 454, 18154, 264, 476, 10019, 454, 20573, 264, 476, 10436, 454, 27887, 264, 476, 6434, 692, 8008, 2894, 20591, 290, 4785, 31064, 5508, 24199, 32530, 3582, 4959, 28313, 281, 513, 24713, 550, 1606, 8584, 2071, 268, 541, 10379, 268, 11743, 23150, 1606, 14537, 6823, 268, 275, 2389, 3949, 268, 15389, 9262, 274, 11258, 454, 314, 3725, 557, 531, 316, 1975, 334, 8814, 281, 29314, 692, 20132, 19560, 476, 7906, 1496, 271, 3910, 2016, 281, 476, 271, 692, 306, 29262, 454, 16274, 281, 476, 1789, 4455, 476, 1220, 279, 454, 15803, 281, 476, 5908, 274, 692, 20132, 19560, 476, 277, 2537, 1496, 274, 3910, 2016, 281, 476, 3953, 692, 19613, 281, 20274, 4975, 454, 18662, 338, 281, 10434, 12928, 4169, 454, 3725, 281, 2875, 781, 6060, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 1556, 8734, 476, 1220, 279, 267, 476, 1724, 281, 4375, 454, 274, 454, 298, 11070, 5308, 454, 292, 269, 476, 6434, 692, 763, 2875, 1590, 6060, 693, 2547, 606, 476, 3199, 585, 2386, 269, 1403, 646, 8464, 606, 476, 279, 267, 1287, 646, 786, 991, 547, 6060, 476, 273, 17428, 585, 1142, 540, 519, 476, 275, 824, 4255, 547, 834, 24708, 909, 257, 519, 3017, 269, 1358, 1142, 941, 693, 476, 4281, 630, 520, 2547, 519, 3328, 568, 267, 855, 713, 568, 513, 1507, 1448, 543, 3085, 1405, 2339, 547, 519, 2626, 1040, 1924, 476, 275, 4255, 602, 941, 1142, 476, 273, 2798, 2110, 540, 519, 476, 3199, 3328, 602, 568, 5551, 1797, 519, 1985, 1449, 1590, 581, 476, 279, 2798, 2362, 982, 519, 5551, 3328, 267, 865, 476, 3199, 266, 279, 815, 476, 6434, 780, 7065, 2075, 7776, 5206, 912, 288, 2875, 779, 3328, 630, 541, 10379, 1611, 264, 1449, 6060, 593, 476, 275, 4255, 568, 476, 4281, 269, 1548, 1590, 581, 519, 2875, 779, 6060, 593, 513, 476, 276, 628, 1449, 585, 519, 2875, 779, 3328, 6060, 593, 519, 476, 276, 4255, 547, 581, 476, 3199, 2496, 288, 269, 476, 3199, 454, 289, 269, 476, 11025, 454, 290, 269, 476, 10019, 454, 291, 269, 476, 10436, 454, 292, 269, 476, 6434, 692, 6303, 318, 692, 5785, 955, 454, 297, 19395, 24261, 454, 1262, 296, 6415, 7168, 2386, 594, 6415, 1318, 267, 855, 1287, 1586, 267, 594, 6415, 1175, 513, 18560, 609, 1010, 2212, 909, 1010, 513, 780, 29479, 11833, 20031, 1756, 16840, 1222, 910, 2462, 2640, 543, 9806, 692, 20132, 19560, 476, 277, 2537, 1496, 274, 3910, 2016, 281, 476, 3953, 692, 10048, 4526, 454, 16274, 281, 476, 6349, 8734, 476, 1220, 280, 454, 15803, 281, 476, 15389, 692, 20132, 19560, 476, 18684, 1496, 272, 3910, 2016, 281, 476, 9032, 692, 3725, 281, 2875, 781, 6060, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 2918, 4924, 476, 1001, 272, 267, 476, 2420, 281, 3374, 454, 272, 454, 298, 11070, 5308, 454, 3721, 476, 272, 264, 11192, 20699, 19105, 265, 1297, 692, 20135, 815, 476, 4281, 265, 275, 815, 24374, 692, 3721, 476, 273, 264, 570, 815, 589, 265, 301, 454, 275, 628, 1449, 1341, 476, 276, 628, 815, 2698, 454, 24374, 1341, 276, 628, 1449, 815, 630, 3199, 265, 276, 994, 276, 628, 1449, 815, 476, 6110, 268, 24374, 815, 6434, 692, 11687, 532, 593, 11192, 815, 589, 265, 333, 692, 20132, 19560, 476, 18684, 1496, 272, 3910, 2016, 281, 476, 9032, 692, 10048, 4526, 454, 16274, 281, 476, 1240, 3967, 476, 1001, 272, 454, 15803, 281, 476, 25248, 692, 20132, 19560, 476, 4391, 1496, 271, 3910, 2016, 281, 476, 275, 692, 3725, 281, 2875, 781, 6060, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 6021, 4455, 476, 1001, 272, 267, 476, 1428, 281, 6246, 454, 822, 326, 593, 476, 275, 568, 476, 4281, 267, 538, 1931, 547, 2333, 519, 1285, 326, 547, 476, 3199, 267, 519, 1007, 1297, 1058, 581, 2111, 547, 3565, 476, 273, 547, 1142, 540, 519, 4540, 476, 275, 2338, 1775, 4318, 269, 476, 279, 538, 2698, 865, 476, 6434, 563, 6303, 318, 692, 14187, 24664, 8627, 2439, 30995, 20055, 543, 581, 5280, 26008, 1262, 4373, 20132, 19560, 476, 4391, 1496, 271, 3910, 2016, 281, 476, 275, 692, 15239, 6953, 3861, 14871, 454, 16274, 281, 476, 6021, 9484, 476, 1001, 274, 454, 15803, 281, 476, 14444, 9032, 692, 20132, 19560, 476, 27005, 1496, 271, 3910, 2016, 281, 476, 271, 692, 3725, 281, 589, 1053, 3328, 630, 541, 10379, 1611, 264, 1449, 6060, 593, 476, 275, 4255, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 1724, 9484, 476, 1001, 274, 267, 476, 5881, 281, 7367, 454, 15916, 689, 519, 17918, 11833, 645, 2794, 289, 582, 2439, 12552, 547, 1776, 17918, 11833, 4759, 267, 594, 723, 1175, 4362, 713, 3407, 1888, 267, 2943, 621, 1185, 1100, 4901, 585, 936, 513, 1032, 269, 594, 993, 1631, 536, 18804, 621, 909, 910, 3257, 1250, 2816, 269, 594, 1589, 596, 949, 1265, 621, 3407, 630, 525, 335, 1346, 30491, 609, 918, 16997, 6393, 23763, 547, 1294, 782, 824, 3584, 594, 2007, 856, 286, 7427, 803, 630, 28781, 1246, 7735, 593, 9043, 1040, 1411, 786, 4309, 513, 5758, 540, 782, 3584, 594, 29424, 538, 707, 9043, 1858, 607, 1134, 607, 3842, 4757, 563, 6303, 318, 692, 20132, 19560, 476, 27005, 1496, 271, 3910, 2016, 281, 476, 271, 692, 13043, 16869, 454, 16274, 281, 476, 6349, 9484, 476, 1220, 280, 454, 15803, 281, 476, 32455, 5392, 692, 20132, 19560, 476, 15171, 4649, 275, 1496, 271, 3910, 2016, 281, 476, 11277, 2918, 692, 3725, 281, 589, 1053, 3328, 630, 541, 10379, 1611, 264, 1449, 6060, 593, 476, 275, 4255, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 1724, 9484, 476, 1001, 274, 267, 476, 5400, 281, 7367, 454, 288, 2875, 781, 3328, 630, 541, 10379, 1611, 264, 1449, 6060, 593, 476, 275, 4255, 568, 476, 4281, 269, 1548, 1590, 581, 519, 2875, 781, 6060, 593, 513, 476, 276, 628, 1449, 585, 519, 2875, 781, 3328, 6060, 593, 519, 476, 276, 4255, 547, 581, 476, 3199, 2496, 10490, 264, 476, 3199, 454, 16360, 264, 476, 11025, 454, 18154, 264, 476, 10019, 454, 20573, 264, 476, 10436, 454, 27887, 264, 476, 6434, 692, 7712, 519, 2875, 781, 3328, 1449, 6060, 593, 476, 275, 4255, 568, 476, 4281, 267, 1287, 519, 2040, 540, 519, 1101, 476, 275, 1449, 8464, 568, 476, 275, 265, 4281, 284, 24374, 269, 1284, 991, 519, 2040, 540, 20231, 476, 276, 8464, 547, 581, 476, 276, 265, 3199, 284, 6110, 267, 865, 952, 3230, 343, 2330, 568, 519, 476, 276, 628, 1449, 6060, 267, 1287, 3230, 24374, 21147, 284, 6110, 2330, 25341, 3230, 343, 284, 6434, 29634, 8008, 2894, 20591, 290, 4785, 31064, 5508, 24199, 32530, 3582, 4959, 28313, 281, 513, 24713, 550, 1606, 8584, 2071, 268, 541, 10379, 268, 11743, 23150, 1606, 14537, 6823, 268, 275, 2389, 3949, 268, 15389, 9262 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 29209, 6363, 768, 520, 476, 273, 5937, 12443, 659, 787, 4594, 728, 717, 601, 5082, 5268, 2803, 529, 454, 268, 476, 273, 269, 273, 330, 20042, 454, 3682, 974, 1231, 616, 7768, 540, 1114, 2338, 540, 9243, 9797, 543, 11874, 9901, 11254, 7408, 269, 4475, 267, 5946, 4268, 4922, 538, 2450, 543, 723, 2901, 2318, 267, 2942, 267, 610, 4642, 2121, 5279, 267, 4470, 593, 519, 9063, 540, 741, 10450, 269, 634, 3312, 1079, 8820, 15074, 32661, 2803, 529, 3898, 729, 2919, 3592, 476, 1789, 1296, 3516, 630, 272, 264, 547, 17908, 713, 8390, 538, 3940, 5279, 543, 2450, 585, 9668, 5301, 269, 634, 568, 29090, 1448, 540, 513, 3940, 630, 335, 296, 264, 568, 519, 9063, 693, 799, 621, 814, 513, 2121, 4642, 5279, 267, 799, 267, 585, 519, 5354, 540, 5946, 267, 6013, 1063, 9063, 476, 275, 269, 271, 543, 476, 279, 269, 271, 269, 634, 7306, 540, 5946, 4268, 4922, 630, 1015, 1700, 4335, 737, 291, 320, 1070, 609, 606, 3328, 7636, 2597, 540, 4114, 476, 2004, 737, 291, 320, 269, 1452, 1079, 20102, 4830, 3601, 616, 23699, 676, 1101, 569, 3954, 520, 1005, 5946, 538, 579, 16699, 543, 1287, 1641, 532, 873, 547, 606, 3167, 2361, 538, 513, 9063, 13506, 3964, 538, 513, 1970, 8410, 1417, 1674, 4874, 659, 787, 4594, 728, 15074, 630, 10594, 3373, 713, 9063, 13506, 729, 4646, 267, 1210, 16822, 8432, 5052, 267, 538, 2198, 267, 855, 1631, 3348, 770, 1799, 984, 28895, 9063, 13506, 1496, 7709, 294, 316, 17446, 1496, 273, 267, 476, 274, 267, 476, 275, 316, 616, 1336, 547, 581, 811, 6325, 1040, 769, 713, 2013, 267, 782, 855, 519, 1360, 4102, 5946, 666, 22109, 11884, 2394, 789, 3914, 513, 9063, 693, 799, 789, 723, 1100, 2121, 5279, 630, 529, 29090, 2519, 1496, 296, 9128, 316, 1040, 2991, 12032, 540, 519, 2519, 267, 519, 5946, 616, 3954, 25733, 538, 2198, 267, 741, 5065, 5279, 568, 15459, 609, 519, 606, 31020, 28052, 550, 9770, 546, 1712, 1097, 331, 20962, 622, 630, 306, 9169, 1070, 543, 1287, 519, 15074, 568, 30305, 267, 13902, 547, 519, 4287, 540, 2519, 267, 593, 513, 2362, 8410, 1417, 1674, 4874, 659, 787, 4594, 728, 15074, 267, 543, 519, 5059, 5946, 616, 9674, 593, 519, 4493, 540, 2450, 269, 901, 3947, 4473, 547, 15768, 9634, 8204, 835, 630, 528, 5310, 513, 1360, 1507, 1297, 264, 540, 1114, 5946, 563, 21292, 306, 18754, 667, 1712, 1097, 331, 590, 17139, 622, 1323, 31020, 5489, 1120, 550, 31406, 667, 1712, 1097, 331, 590, 17139, 622, 3600, 787, 4594, 728, 8827, 853, 8692, 15579, 518, 3600, 787, 4594, 728, 12443, 1067, 1436, 454, 268, 476, 272, 20166, 685, 293, 19128, 961, 267, 623, 269, 670, 269, 630, 3192, 276, 264, 4400, 6571, 1079, 8820, 32661, 2803, 529, 540, 5946, 269, 808, 269, 22776, 269, 6314, 269, 476, 7742, 267, 476, 6110, 278, 1700, 29710, 272, 32155, 10104, 454, 268, 476, 273, 15030, 6856, 1889, 1512, 267, 681, 1421, 661, 330, 267, 918, 1421, 15519, 515, 26152, 267, 623, 269, 717, 1421, 717, 1014, 1794, 5633, 267, 661, 1421, 717, 23152, 326, 267, 589, 1421, 543, 5403, 601, 267, 654, 269, 630, 2735, 273, 264, 594, 810, 26104, 2519, 538, 1799, 984, 28895, 9063, 27080, 281, 6240, 267, 12191, 543, 930, 3156, 269, 808, 269, 4437, 32554, 269, 4437, 19398, 269, 476, 277, 263, 28766, 1070, 476, 26552, 32155, 10104, 454, 268, 476, 1321, 10611, 629, 650, 3716, 267, 570, 269, 630, 1960, 279, 264, 2422, 540, 555, 328, 537, 16699, 547, 2333, 519, 32610, 540, 9245, 5946, 538, 1079, 8820, 32661, 2803, 529, 269, 5082, 5268, 2803, 529, 476, 866, 267, 476, 4037, 280, 1700, 31318, 32155, 10104, 454, 268, 476, 1724, 14371, 23152, 326, 267, 589, 1421, 32181, 3578, 267, 717, 1421, 744, 828, 2742, 1512, 267, 595, 1421, 10434, 518, 267, 589, 1421, 543, 1284, 1170, 267, 654, 269, 630, 1960, 279, 264, 476, 273, 5937, 32661, 2803, 529, 609, 1799, 984, 28895, 9063, 27080, 1210, 7379, 294, 874, 528, 568, 29090, 2519, 1062, 269, 5020, 3163, 5240, 476, 272, 267, 476, 275, 1700, 277, 32155, 10104, 0, 2414, 2328, 513, 1434, 1557, 593, 1977, 14134, 267, 1101, 267, 596, 991, 547, 1205, 606, 2856, 540, 1018, 547, 2328, 827, 269, 1677, 1205, 6667, 267, 5225, 979, 998, 938, 1557, 1806, 593, 713, 1888, 563, 13563, 14134, 10749, 281, 7305, 540, 12474, 454, 3674, 519, 1977, 14134, 16458, 610, 1325, 633, 4828, 454, 23192, 267, 519, 2048, 291, 3195, 685, 729, 679, 6665, 3042, 547, 581, 1272, 538, 513, 1007, 1158, 1141, 4376, 3811, 666, 4755, 543, 1434, 1919, 1522, 630, 295, 5255, 338, 18876, 267, 476, 1960, 277, 1040, 769, 476, 3422, 274, 267, 9410, 13162, 3751, 808, 333, 337, 1767, 602, 646, 1932, 1185, 513, 5326, 968, 7474, 593, 519, 2699, 15113, 540, 11908, 519, 14930, 540, 5449, 10553, 5411, 786, 581, 2111, 547, 1694, 1524, 1927, 693, 513, 3349, 540, 7015, 3125, 892, 11473, 281, 634, 22684, 1040, 4595, 1287, 267, 1082, 3344, 540, 9410, 13162, 3751, 779, 14134, 585, 519, 1977, 1004, 723, 2097, 3020, 267, 855, 930, 2611, 513, 5326, 269, 4653, 267, 519, 10206, 540, 519, 2048, 13563, 14134, 685, 21018, 2484, 3564, 519, 2856, 540, 2797, 543, 3909, 5191, 547, 513, 811, 17215, 20218, 3490, 269, 634, 2136, 2276, 814, 5051, 1831, 513, 7082, 2861, 2486, 267, 865, 519, 2856, 540, 2048, 338, 15471, 685, 568, 1631, 6027, 676, 1570, 5763, 1107, 513, 3043, 4584, 564, 535, 10642, 2777, 538, 519, 1016, 31755, 2347, 609, 1286, 267, 2915, 543, 1079, 1453, 563, 763, 1977, 14134, 568, 1869, 9800, 267, 855, 1152, 538, 519, 8186, 540, 1346, 4961, 945, 723, 519, 2200, 547, 30593, 519, 4214, 540, 1967, 267, 12077, 267, 1570, 5763, 269, 20591, 290, 4785, 31064, 634, 2475, 568, 519, 1034, 9565, 2197, 538, 519, 1158, 269, 901, 568, 2938, 711, 1152, 538, 13075, 4222, 543, 1870, 1379, 267, 855, 849, 538, 519, 3903, 540, 2575, 267, 9660, 543, 16351, 2238, 269, 898, 568, 713, 8226, 602, 14405, 1004, 547, 519, 2856, 540, 519, 1390, 1977, 14134, 543, 519, 2048, 1633, 540, 519, 1863, 8730, 513, 8226, 602, 585, 519, 1318, 1268, 693, 519, 1318, 942, 267, 3388, 568, 2009, 269, 3013, 814, 12926, 1044, 513, 2244, 540, 11082, 543, 519, 1753, 547, 1004, 540, 1082, 3084, 885, 543, 4529, 267, 782, 14971, 547, 3035, 519, 14134, 563, 15900, 11082, 723, 2451, 606, 30170, 1665, 593, 1977, 4872, 543, 2486, 267, 689, 519, 32228, 2103, 538, 1715, 3840, 267, 519, 32090, 6705, 540, 16855, 543, 519, 11068, 8862, 652, 267, 547, 519, 811, 2487, 6329, 540, 11082, 689, 5607, 593, 519, 4639, 11076, 630, 295, 5255, 338, 18876, 267, 476, 1960, 277, 1916, 3674, 1977, 14134, 7464, 4828, 454, 25567, 320, 568, 519, 2244, 540, 4316, 1141, 9909, 666, 2097, 3020, 269, 968, 763, 2898, 540, 519, 1977, 5326, 814, 1044, 1759, 593, 519, 4960, 547, 1205, 6619, 267, 585, 835, 779, 1582, 610, 835, 779, 1453, 269, 14348, 713, 2197, 723, 2479, 6603, 519, 1448, 621, 814, 952, 519, 1367, 1185, 2141, 1044, 15189, 519, 12587, 540, 1010, 2978, 832, 543, 12178, 9495, 1107, 22832, 2558, 639, 869, 17566, 1452, 1913, 9275, 676, 6276, 2558, 639, 869, 17566, 513, 5856, 543, 2797, 6085, 1807, 6829, 513, 4743, 602, 568, 1869, 4143, 2221, 269, 8056, 580, 7847, 689, 782, 936, 519, 1158, 723, 15354, 593, 891, 24528, 538, 3406, 540, 621, 269, 4892, 4535, 543, 26870, 1934, 2661, 741, 2729, 20678, 547, 3035, 621, 563, 763, 1977, 14134, 568, 1483, 1317, 713, 4182, 7512, 543, 14014, 922, 5326, 619, 676, 20170, 547, 21246, 1023, 1759, 593, 5126, 267, 5191, 267, 543, 3160, 4316, 269, 26321, 4316, 9863, 547, 581, 835, 540, 519, 1034, 1271, 2609, 540, 519, 1977, 14134, 1851, 519, 17037, 945, 3576, 851, 538, 938, 5619, 269, 901, 1523, 729, 5258, 1851, 1082, 5396, 1519, 2069, 269, 4065, 568, 835, 540, 519, 4128, 3013, 5012, 519, 1158, 269, 4634, 1498, 519, 4441, 540, 6044, 543, 6703, 949, 8428, 689, 835, 23407, 3009, 547, 824, 3255, 798, 2291, 267, 3610, 616, 4061, 835, 540, 519, 1832, 619, 540, 519, 1977, 14134, 563, 9827, 3292, 899, 10361, 3399, 267, 799, 3459, 538, 476, 3422, 276, 267, 2291, 547, 5351, 1970, 13867, 1453, 543, 741, 3885, 609, 1126, 1646, 269, 901, 1982, 3947, 873, 519, 4316, 547, 2253, 741, 2729, 593, 606, 3160, 4493, 609, 1866, 269, 26321, 4316, 849, 4016, 547, 3255, 2139, 7488, 540, 824, 2188, 971, 607, 5198, 267, 4008, 267, 543, 2085, 269, 16572, 2291, 602, 2061, 7130, 585, 891, 543, 824, 4128, 269, 634, 4031, 540, 713, 2197, 711, 1152, 2149, 1996, 519, 7130, 789, 4196, 547, 10018, 5126, 585, 782, 563, 8512, 540, 519, 1977, 14134, 3340, 602, 782, 4961, 581, 5701, 9425, 269, 30543, 899, 519, 10966, 7040, 814, 1419, 19500, 547, 2149, 12504, 779, 1569, 547, 519, 1977, 5326, 563, 13563, 14740, 543, 519, 1977, 14134, 4828, 454, 763, 22184, 602, 17158, 539, 519, 476, 4572, 271, 779, 543, 476, 4350, 271, 779, 538, 4683, 3013, 3177, 513, 32193, 540, 2757, 18691, 267, 3979, 20054, 267, 543, 10700, 2686, 25954, 538, 3013, 269, 1879, 519, 1279, 2395, 540, 3665, 15746, 2509, 1346, 540, 2681, 8604, 547, 31652, 1524, 267, 1082, 28953, 5087, 547, 9101, 741, 4652, 987, 558, 762, 2250, 338, 538, 519, 7013, 2829, 269, 634, 2349, 2931, 685, 3803, 10278, 5462, 741, 9566, 540, 2686, 14762, 543, 13884, 269, 13018, 267, 31222, 267, 1715, 3840, 729, 9927, 883, 513, 2749, 540, 2189, 1148, 543, 7544, 269, 634, 4583, 21011, 14364, 4371, 1082, 1390, 2206, 619, 945, 6829, 741, 7772, 267, 530, 4141, 267, 543, 16012, 10362, 538, 519, 2749, 269, 19452, 267, 1082, 5830, 543, 15023, 540, 3109, 5169, 5206, 827, 741, 968, 325, 516, 4520, 892, 543, 2566, 585, 552, 6549, 9107, 4441, 602, 941, 12042, 1229, 676, 13343, 18844, 1876, 2094, 476, 6942, 275, 563, 2108, 20225, 26147, 855, 3160, 2223, 729, 606, 4998, 602, 9674, 1318, 995, 1977, 4961, 540, 2681, 689, 1346, 540, 14402, 1950, 687, 269, 3414, 519, 31222, 11193, 267, 17051, 1223, 2769, 741, 8990, 585, 6284, 538, 1977, 2486, 607, 1318, 995, 4961, 269, 9282, 267, 585, 930, 713, 2856, 267, 8604, 7334, 269, 4279, 1806, 540, 519, 3406, 543, 14751, 566, 540, 1977, 3961, 568, 2938, 538, 2185, 1568, 676, 18999, 8725, 24806, 267, 19863, 324, 21025, 599, 267, 1488, 3534, 645, 2632, 655, 1186, 6276, 654, 15505, 517, 9652, 269, 3509, 666, 3858, 602, 519, 31222, 11193, 729, 513, 18463, 585, 7682, 532, 606, 1977, 3961, 267, 14344, 17051, 607, 606, 3160, 5057, 540, 1977, 6848, 2497, 267, 607, 1134, 607, 15819, 519, 7872, 540, 1140, 8724, 713, 3804, 563, 1103, 18999, 8725, 24806, 685, 6648, 968, 296, 267, 18320, 5608, 2982, 1977, 32742, 593, 519, 15773, 540, 519, 3109, 17069, 864, 269, 634, 10584, 5956, 609, 1010, 25621, 540, 3013, 998, 267, 968, 296, 267, 1932, 267, 2206, 3013, 1848, 630, 331, 1040, 634, 6679, 1899, 5036, 513, 29014, 3159, 585, 519, 6429, 13269, 269, 634, 10584, 19528, 606, 2272, 540, 21440, 855, 1281, 711, 1450, 713, 547, 844, 1662, 1010, 4978, 607, 513, 1318, 995, 1977, 563, 1432, 1772, 1977, 14134, 4828, 454, 763, 1977, 5326, 666, 581, 3989, 607, 519, 22059, 540, 513, 3501, 3013, 4904, 609, 2588, 26508, 6859, 543, 11995, 7399, 630, 19913, 592, 2006, 267, 476, 1220, 279, 1040, 901, 568, 7488, 540, 7292, 4282, 543, 1514, 4567, 269, 5020, 568, 5156, 547, 581, 1732, 543, 6899, 585, 782, 543, 972, 568, 1761, 547, 1831, 8726, 596, 1616, 269, 15526, 9909, 540, 513, 1272, 1510, 2566, 543, 2591, 267, 609, 2760, 268, 2056, 3761, 540, 2724, 543, 1025, 1170, 269, 2060, 2614, 2724, 547, 4444, 4376, 267, 513, 1434, 2816, 267, 513, 1390, 1920, 543, 2713, 538, 3413, 23308, 4025, 538, 3013, 899, 21035, 543, 11968, 13353, 269, 898, 568, 5156, 602, 782, 713, 568, 2009, 538, 3013, 267, 8754, 519, 8360, 2048, 763, 1977, 14134, 17483, 1607, 5326, 2488, 596, 609, 519, 3501, 2828, 543, 1920, 267, 945, 616, 2141, 972, 585, 596, 543, 2648, 11014, 269, 901, 568, 519, 2601, 1946, 1082, 1004, 979, 547, 519, 2136, 2276, 540, 3013, 269, 1358, 3494, 602, 538, 3013, 267, 789, 1131, 3035, 741, 2123, 3853, 267, 13190, 543, 31717, 640, 267, 1945, 789 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1318, 7944, 540, 519, 1843, 563, 23044, 12125, 616, 849, 5219, 547, 607, 1184, 11837, 610, 2095, 12222, 269, 10417, 19352, 667, 8656, 16165, 4456, 642, 1321, 568, 513, 3501, 1184, 2095, 24577, 3301, 609, 3638, 2095, 5750, 17074, 543, 2095, 5750, 6698, 596, 666, 1711, 3318, 2095, 12125, 3533, 543, 3362, 563, 17746, 1192, 532, 513, 2095, 5750, 568, 1419, 835, 540, 519, 1101, 2238, 540, 513, 1184, 6454, 4674, 267, 1317, 540, 519, 1739, 2640, 281, 5269, 1184, 2095, 577, 11301, 12315, 3025, 513, 2312, 1620, 540, 519, 1184, 6435, 547, 2697, 1875, 17032, 14194, 4765, 4238, 11120, 4106, 622, 16542, 543, 2792, 5901, 3025, 593, 519, 1482, 2985, 5071, 513, 2095, 12125, 10046, 24577, 4070, 3092, 563, 9359, 609, 513, 2241, 835, 11060, 6609, 610, 2140, 540, 519, 1184, 1373, 2095, 577, 14975, 324, 269, 13129, 2143, 1344, 998, 14391, 725, 610, 28339, 269, 7427, 519, 1184, 998, 547, 12032, 267, 20922, 676, 513, 13042, 1439, 12363, 2095, 24577, 3090, 267, 552, 269, 6787, 596, 616, 519, 6852, 17082, 9849, 1082, 22970, 267, 610, 835, 540, 1082, 593, 519, 1646, 2319, 267, 4687, 513, 1455, 3308, 1893, 786, 3391, 519, 1788, 998, 922, 1082, 23200, 543, 1646, 11775, 2429, 519, 14292, 1374, 1184, 269, 2750, 1815, 5737, 1744, 7398, 3213, 1421, 5549, 563, 529, 513, 12370, 6355, 630, 295, 16576, 264, 8865, 5530, 593, 5303, 1299, 15051, 267, 22513, 10783, 2160, 2488, 670, 16576, 2013, 1353, 7084, 948, 585, 1175, 1269, 3776, 2013, 3070, 568, 1759, 593, 8865, 5530, 6396, 6791, 1299, 938, 2518, 4030, 563, 17637, 532, 513, 7743, 31044, 15873, 585, 513, 5741, 15129, 2290, 23314, 540, 3919, 1374, 1184, 568, 3919, 5750, 1547, 634, 3919, 5750, 568, 968, 1492, 3308, 12180, 1184, 269, 4635, 513, 2013, 1353, 267, 649, 4553, 513, 1184, 676, 799, 649, 2919, 513, 1007, 3919, 5750, 4586, 1103, 519, 521, 667, 749, 19117, 1312, 519, 2780, 2872, 543, 3761, 5832, 2359, 609, 922, 1463, 3562, 15926, 10179, 1870, 2203, 269, 1280, 519, 2250, 1896, 1296, 267, 2705, 267, 519, 2754, 814, 1044, 13321, 922, 3761, 5832, 883, 513, 1617, 747, 14128, 267, 5302, 7757, 2203, 267, 609, 1114, 4507, 585, 7674, 6800, 267, 9746, 5561, 267, 2733, 12781, 267, 543, 21625, 563, 2750, 1815, 5737, 1744, 16630, 16721, 1563, 676, 281, 15445, 1744, 7398, 7577, 5549, 269, 4728, 476, 2420, 267, 7726, 476, 272, 281, 30770, 519, 1739, 9424, 585, 519, 1699, 2504, 1184, 607, 1134, 607, 585, 19375, 779, 543, 594, 651, 779, 4566, 267, 14322, 519, 4566, 616, 8045, 607, 4330, 538, 519, 2013, 269, 20638, 281, 1677, 1353, 519, 5663, 1184, 540, 5794, 24650, 14742, 543, 1946, 570, 9567, 1787, 729, 6074, 607, 519, 4087, 585, 519, 5663, 3490, 563, 763, 5794, 24650, 589, 568, 513, 5595, 11546, 1188, 267, 2647, 23073, 267, 2185, 268, 19956, 15191, 2011, 4802, 518, 14475, 676, 5794, 24650, 269, 898, 568, 519, 1158, 781, 4102, 18213, 2011, 4802, 518, 269, 1635, 1739, 519, 5528, 12303, 1022, 1826, 540, 2095, 5750, 666, 581, 1500, 563, 5649, 811, 269, 2290, 1268, 1336, 713, 5363, 269, 6435, 995, 269, 19410, 7797, 6057, 269, 7917, 700, 269, 17166, 516, 269, 856, 540, 476, 276, 6801, 4279, 4985, 563, 18550, 476, 2537, 267, 14474, 281, 28980, 7638, 1881, 27619, 269, 1280, 2576, 602, 2115, 513, 2656, 4367, 543, 513, 2324, 1702, 540, 6355, 6713, 17352, 281, 0, 8070, 6180, 655, 18362, 616, 4922, 1031, 547, 3313, 519, 2014, 540, 2669, 267, 2943, 2757, 1313, 641, 1910, 814, 4957, 2370, 538, 519, 2250, 2540, 267, 9967, 540, 5007, 6514, 543, 859, 529, 1356, 566, 267, 771, 7611, 540, 519, 2101, 8219, 609, 8446, 540, 12550, 2675, 8084, 2619, 3098, 543, 7063, 563, 288, 1906, 1296, 3516, 267, 543, 538, 513, 1391, 547, 4434, 519, 2361, 540, 18837, 4915, 267, 513, 2319, 540, 3744, 693, 519, 2160, 540, 2098, 584, 747, 2073, 16848, 267, 814, 1044, 1583, 6053, 3384, 12747, 2645, 543, 4066, 547, 2087, 2164, 267, 2569, 3790, 267, 543, 942, 1282, 1313, 3591, 625, 269, 1635, 9256, 1007, 4066, 267, 899, 476, 274, 291, 9196, 267, 17655, 267, 543, 8228, 547, 5352, 5691, 1313, 641, 1910, 2645, 267, 883, 1018, 814, 5555, 1831, 513, 7622, 2012, 538, 2062, 985, 923, 513, 14679, 1634, 607, 519, 5164, 9008, 1910, 1788, 2073, 610, 1175, 4075, 641, 1910, 267, 789, 616, 4657, 519, 17565, 540, 2062, 985, 923, 563, 2026, 851, 540, 519, 5164, 9008, 1910, 1788, 267, 3744, 723, 2097, 909, 609, 3860, 2081, 547, 948, 519, 2361, 540, 2062, 985, 923, 267, 609, 2093, 8151, 689, 20965, 6781, 913, 281, 623, 10134, 328, 10870, 1426, 267, 15165, 267, 543, 20892, 1587, 1899, 5346, 270, 13126, 281, 623, 10134, 328, 10870, 623, 10134, 328, 10870, 5828, 547, 1907, 532, 609, 476, 274, 291, 8228, 1862, 0, 21581, 2626, 281, 1548, 779, 519, 14438, 540, 513, 6862, 19886, 4104, 3032, 286, 1948, 3333, 2176, 454, 12749, 1655, 4267, 547, 519, 2243, 16938, 1432, 568, 519, 14438, 540, 513, 6862, 19886, 4104, 3032, 14872, 454, 12024, 1034, 6469, 3032, 14981, 267, 21785, 11206, 19949, 666, 2661, 9170, 689, 476, 1321, 547, 476, 736, 1296, 267, 4470, 593, 741, 2949, 1072, 543, 2298, 540, 1416, 269, 9282, 3622, 2635, 267, 713, 6923, 16757, 9742, 666, 2887, 6408, 547, 8377, 543, 824, 2597, 1644, 2042, 899, 3987, 543, 4745, 2152, 607, 789, 2085, 563, 763, 9742, 568, 1360, 1434, 693, 16246, 282, 2094, 789, 723, 2178, 32356, 269, 634, 14438, 568, 2356, 476, 1691, 547, 476, 1626, 1296, 267, 4352, 8459, 543, 2295, 3676, 723, 1044, 4080, 538, 519, 9742, 563, 268, 21785, 11206, 19949, 616, 3622, 2635, 267, 609, 513, 1279, 1272, 12732, 540, 476, 1691, 547, 476, 1626, 1296, 269, 634, 1739, 3676, 723, 1044, 2938, 538, 519, 9742, 281, 31946, 322, 4094, 19554, 8376, 10001, 267, 513, 4686, 1200, 3386, 2783, 602, 5540, 10307, 540, 7280, 269, 4107, 6539, 29181, 609, 519, 2068, 616, 1869, 9799, 610, 5884, 1369, 513, 1906, 3108, 540, 4332, 31972, 21581, 2626, 281, 1548, 1426, 1281, 519, 6862, 19886, 4104, 3032, 2648, 286, 1948, 3333, 2176, 0, 309, 514, 1417, 8709, 717, 26710, 729, 513, 2022, 268, 3412, 16054, 626, 18048, 4171, 960, 2443, 8037, 585, 922, 5898, 267, 7553, 543, 2681, 2443, 3810, 6766, 476, 736, 628, 10601, 1148, 269, 1261, 17388, 609, 2790, 4576, 543, 7283, 4057, 543, 12303, 7164, 2429, 1010, 1272, 563, 24078, 11709, 717, 26710, 779, 1272, 8909, 888, 2026, 646, 729, 7206, 930, 540, 519, 1034, 9976, 543, 9565, 1148, 540, 782, 942, 267, 27673, 8709, 717, 26710, 630, 18550, 476, 1789, 267, 476, 6977, 274, 1700, 20809, 476, 3066, 267, 476, 6245, 271, 264, 729, 28530, 1010, 2587, 340, 5109, 2790, 4576, 2443, 7928, 14501, 540, 4965, 267, 1612, 3315, 4506, 4160, 543, 267, 2687, 547, 930, 6589, 267, 519, 2589, 540, 17299, 4524, 2443, 799, 1131, 5555, 6693, 24078, 11709, 717, 26710, 779, 1272, 6126, 888, 298, 754, 718, 13187, 602, 1247, 11709, 717, 26710, 8909, 569, 11124, 689, 3134, 850, 10364, 17465, 972, 941, 2053, 646, 729, 2965, 6126, 269, 1261, 729, 2212, 27492, 13463, 1564, 538, 2648, 609, 2470, 31539, 6689, 513, 10178, 857, 518, 540, 12961, 543, 5810, 267, 1256, 547, 6616, 2249, 676, 2012, 563, 3963, 1705, 11709, 717, 26710, 14299, 1055, 1010, 1274, 888, 309, 514, 1417, 8709, 717, 26710, 2759, 1055, 1010, 2451, 1274, 950, 10917, 619, 1166, 1563, 609, 6754, 717, 879, 7666, 514, 267, 519, 7376, 609, 7247, 646, 1185, 1044, 2324, 585, 513, 1247, 538, 1488, 956, 269, 11709, 717, 26710, 779, 4576, 7000, 3294, 281, 646, 3459, 547, 26390, 3729, 543, 11124, 6285, 538, 799, 646, 4503, 9637, 269, 4438, 835, 540, 891, 6285, 267, 646, 1031, 519, 17180, 563, 1432, 616, 476, 276, 4277, 5013, 827, 27673, 8709, 717, 26710, 888, 279, 4241, 5013, 827, 27673, 8709, 717, 26710, 454, 268, 1261, 13556, 3592, 476, 12010, 10367, 538, 476, 1015, 1296, 269, 6693, 268, 8709, 717, 26710, 779, 25411, 1255, 941, 6995, 267, 13189, 543, 3694, 269, 6693, 268, 634, 5168, 3297, 8709, 717, 26710, 779, 1274, 568, 1869, 7164, 269, 6693, 268, 2048, 1805, 14019, 13957, 685, 729, 2813, 538, 606, 2048, 553, 23796, 685, 6693, 268, 8709, 717, 26710, 729, 513, 22082, 540, 519, 2022, 27780, 1833, 2065, 1582, 773, 563, 8005, 13556, 519, 3458, 600, 888, 763, 2817, 7467, 538, 14642, 5979, 6585, 835, 540, 519, 1158, 779, 1034, 1271, 10070, 540, 10367, 676, 3798, 10542, 631, 4875, 267, 1519, 971, 11599, 1568, 607, 968, 763, 21115, 600, 6100, 1452, 1568, 1831, 2139, 585, 519, 1857, 950, 519, 1007, 2817, 7467, 10741, 593, 476, 1556, 4873, 267, 476, 1708, 273, 563, 1432, 5949, 547, 11709, 717, 26710, 779, 1274, 1310, 646, 2759, 621, 1055, 888, 763, 1274, 729, 2016, 547, 513, 15777, 693, 513, 2156, 1492, 331, 267, 711, 513, 14382, 3482, 269, 1280, 513, 1279, 942, 267, 519, 7608, 1650, 729, 602, 8709, 717, 26710, 22064, 519, 26481, 16289, 720, 547, 513, 4807, 3957, 24981, 267, 513, 14382, 3482, 693, 519, 2156, 1492, 331, 8709, 717, 26710, 2505, 5034, 1247, 2713, 538, 1488, 956, 267, 538, 7013, 5333, 563, 12441, 8709, 717, 26710, 723, 1453, 888, 1607, 835, 779, 2653, 281, 1100, 267, 27673, 4769, 1406, 723, 1022, 1453, 563, 3963, 1705, 8709, 717, 26710, 1152, 6133, 835, 7206, 888, 18744, 835, 7206, 4421, 1282, 1010, 10715, 454, 309, 534, 717, 26710, 729, 2760, 4583, 607, 513, 18048, 1282, 1010, 10715, 543, 7683, 17388, 609, 6710, 269, 1261, 4421, 1152, 835, 7206, 1247, 646, 729, 9800, 281, 634, 4414, 966, 710, 12881, 799, 4682, 585, 476, 6110, 21473, 14369, 538, 19934, 5722, 3275, 1354, 1010, 2669, 269, 0, 3080, 540, 519, 1034, 1455, 3096, 3859, 1648, 814, 267, 568, 547, 946, 621, 585, 8654, 267, 581, 621, 16280, 610, 13964, 269, 634, 6007, 5056, 619, 666, 581, 9901, 1282, 519, 1554, 950, 972, 568, 7943, 543, 621, 666, 946, 519, 6740, 1648, 1282, 519, 3781, 942, 269, 9891, 1648, 666, 849, 581, 2808, 547, 5279, 9075, 1472, 707, 1753, 563, 1692, 616, 3859, 2281, 1031, 538, 1483, 1272, 888, 23530, 1648, 689, 25675, 2281, 568, 1031, 585, 5010, 1379, 5108, 267, 4155, 4191, 267, 26732, 267, 15408, 543, 538, 1082, 824, 3156, 269, 681, 5622, 1111, 641, 19216, 946, 3859, 1379, 547, 2047, 3002, 1216, 1510, 14291, 621, 547, 5201, 1101, 563, 1432, 616, 519, 1614, 3096, 540, 3859, 2281, 888, 308, 4513, 540, 9891, 7754, 1564, 2433, 1775, 9891, 8440, 616, 1031, 538, 513, 2647, 2039, 540, 11418, 3937, 269, 13797, 15571, 7641, 20794, 10473, 538, 6552, 6753, 946, 3859, 1591, 8440, 269, 25831, 634, 3859, 2281, 8440, 616, 15841, 593, 16887, 2966, 20916, 31241, 3591, 865, 602, 811, 3859, 1648, 568, 10071, 936, 621, 563, 1432, 568, 513, 3859, 1591, 2285, 922, 3096, 888, 23530, 2281, 267, 849, 1572, 25675, 2281, 267, 2047, 2981, 1648, 883, 5201, 689, 519, 3141, 269, 24997, 1648, 568, 3177, 676, 3859, 2281, 267, 543, 789, 616, 14463, 267, 11741, 543, 1970, 31720, 5199, 269, 769, 6552, 5054, 267, 3859, 2281, 1419, 5352, 5201, 267, 1379, 532, 6191, 2484, 689, 519, 14191, 5122, 17752, 563, 1432, 616, 3859, 2281, 543, 2328, 922, 3096, 888, 23530, 2281, 616, 1031, 547, 6460, 1769, 2707, 689, 519, 3141, 883, 5122, 1648, 269, 476, 273, 269, 9891, 2281, 616, 1031, 538, 1379, 11396, 547, 1683, 5201, 547, 1804, 2127, 563, 1432, 616, 519, 1614, 1292, 3096, 540, 3859, 2281, 888, 308, 4513, 540, 3859, 1591, 8470, 1107, 634, 3859, 1591, 666, 581, 1031, 538, 519, 1739, 281, 630, 272, 264, 1280, 5665, 8613, 17513, 543, 5925, 2256, 1392, 269, 630, 273, 264, 1280, 3246, 5201, 585, 8265, 8279, 269, 630, 274, 264, 538, 519, 616, 338, 1141, 1463, 3761, 540, 5201, 568, 2901, 711, 2009, 610, 1360, 14427, 610, 3112, 581, 3812, 676, 824, 1797, 563, 1432, 568, 3859, 1591, 2285, 930, 3096, 540, 3859, 1591, 1362, 476, 277, 888, 308, 4513, 281, 630, 272, 264, 589, 4015, 540, 3859, 2281, 568, 1031, 607, 513, 2707, 540, 1379, 585, 15408, 9250, 883, 2230, 269, 630, 273, 264, 769, 9678, 4025, 1141, 972, 568, 1100, 5201, 267, 3859, 2281, 3761, 1379, 547, 519, 8265, 8279, 543, 1216, 15450, 563, 1432, 568, 519, 3859, 1591, 12315, 1079, 3096, 540, 3859, 2281, 888, 288, 3859, 1591, 21810, 7943, 2047 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1696, 620, 1421, 454, 1001, 278, 282, 9149, 1696, 620, 1421, 454, 1708, 271, 282, 4880, 1084, 1696, 620, 1421, 454, 1001, 279, 282, 681, 773, 11738, 1299, 654, 773, 742, 518, 1074, 2676, 1001, 278, 282, 654, 773, 742, 518, 1074, 1696, 620, 1421, 454, 1001, 274, 1040, 3487, 540, 519, 1239, 593, 6568, 630, 11742, 476, 272, 264, 543, 593, 2618, 31752, 630, 11742, 476, 272, 547, 476, 274, 264, 538, 1453, 609, 513, 16275, 543, 8946, 1453, 729, 5892, 4080, 676, 31509, 11253, 541, 543, 1071, 548, 8046, 27210, 1001, 278, 264, 543, 4880, 1084, 543, 9164, 27210, 29248, 4331, 7726, 32666, 729, 2966, 547, 2268, 1762, 1453, 779, 26003, 545, 5615, 538, 3232, 1272, 630, 305, 773, 11738, 1696, 620, 1421, 454, 1001, 271, 1040, 898, 729, 15951, 676, 3237, 547, 5815, 519, 6708, 547, 799, 1142, 6221, 10630, 741, 1126, 779, 5615, 1282, 519, 2250, 1079, 3275, 630, 271, 815, 2760, 282, 476, 272, 815, 3006, 282, 476, 273, 815, 1419, 1070, 543, 621, 2882, 1614, 9408, 2297, 281, 28146, 6568, 630, 277, 3688, 282, 552, 3052, 1421, 968, 2691, 1776, 1126, 1835, 625, 267, 1250, 1126, 4991, 13347, 1932, 25257, 3007, 547, 4664, 630, 278, 3688, 282, 552, 3052, 1421, 968, 2691, 1776, 1126, 568, 14220, 267, 1250, 1126, 13515, 1010, 1378, 1404, 547, 4585, 25257, 543, 5294, 3469, 3527, 630, 277, 3688, 282, 552, 3052, 1421, 968, 2691, 1776, 1126, 6238, 547, 3956, 267, 1250, 1126, 13290, 547, 4313, 1864, 17017, 26158, 18378, 11007, 729, 7850, 2066, 942, 585, 28146, 6568, 630, 5780, 18016, 14668, 18016, 476, 271, 269, 4281, 1070, 3007, 547, 4664, 630, 7761, 18016, 14668, 18016, 476, 271, 269, 11025, 1070, 543, 5294, 3469, 3527, 630, 271, 269, 5780, 18016, 14668, 18016, 476, 271, 269, 10602, 282, 1294, 7305, 454, 273, 585, 519, 4835, 11007, 585, 782, 3800, 829, 942, 1448, 1040, 634, 4835, 2874, 4293, 941, 5266, 2539, 585, 28146, 6568, 693, 5384, 476, 274, 543, 5294, 3469, 3527, 693, 5384, 476, 275, 630, 10382, 815, 476, 271, 269, 5780, 264, 1813, 547, 2370, 13065, 538, 519, 18176, 540, 930, 3688, 630, 328, 4318, 1421, 513, 2282, 22286, 3233, 1198, 585, 28146, 6568, 543, 513, 2282, 268, 576, 4979, 1198, 585, 5294, 3469, 3527, 1916, 763, 7553, 8622, 8540, 9408, 1446, 540, 519, 454, 10387, 10056, 20309, 7726, 32666, 729, 1031, 547, 2268, 1453, 779, 2702, 547, 11760, 741, 3237, 685, 4664, 630, 305, 773, 11738, 1696, 620, 1421, 454, 1001, 271, 1040, 14268, 15951, 593, 513, 476, 276, 15304, 4336, 630, 272, 815, 3592, 2760, 282, 476, 276, 815, 3592, 2141, 264, 519, 6708, 547, 799, 741, 1453, 1223, 1174, 741, 4664, 630, 277, 3688, 282, 552, 3052, 1421, 968, 9989, 707, 1126, 1174, 950, 596, 616, 14220, 9495, 1040, 18378, 11007, 729, 1434, 2066, 942, 630, 271, 269, 3583, 18016, 14668, 18016, 476, 271, 269, 4281, 1916, 15900, 19974, 22802, 268, 275, 630, 4488, 296, 268, 275, 264, 568, 513, 4922, 268, 4310, 18102, 15951, 676, 3237, 585, 12570, 26616, 543, 18926, 15015, 540, 10076, 15136, 630, 275, 628, 1196, 5919, 32663, 268, 4353, 264, 2589, 630, 8967, 571, 325, 7219, 1696, 620, 1421, 454, 1220, 273, 1040, 898, 666, 581, 20639, 2687, 547, 519, 9584, 2759, 11325, 630, 323, 747, 582, 10535, 264, 610, 2687, 547, 519, 10835, 10335, 630, 517, 513, 476, 275, 15304, 4336, 281, 476, 271, 815, 2760, 282, 476, 274, 815, 1360, 1419, 1040, 1284, 1031, 519, 10335, 8464, 547, 2992, 519, 10335, 540, 4835, 1944, 543, 5007, 1944, 2589, 269, 1280, 7893, 519, 1377, 540, 4835, 1944, 5615, 267, 649, 1031, 519, 9408, 2297, 585, 2101, 19591, 4524, 630, 277, 3688, 264, 543, 4160, 4524, 630, 1691, 3688, 267, 1519, 20902, 4160, 4524, 267, 9668, 4160, 4524, 267, 543, 1514, 4160, 4524, 1040, 1280, 7893, 519, 1377, 540, 5007, 1944, 5615, 267, 649, 1031, 519, 9408, 2297, 585, 9263, 4655, 630, 1015, 3688, 1070, 11685, 531, 1219, 5050, 4524, 630, 279, 3688, 1070, 543, 2932, 4524, 630, 1015, 3688, 1040, 634, 10335, 8464, 540, 1142, 9408, 1446, 941, 2040, 4364, 547, 5173, 3803, 8464, 585, 4835, 1944, 270, 1410, 4156, 1944, 5615, 269, 18378, 11007, 729, 1434, 2066, 942, 585, 4835, 1944, 5615, 630, 271, 269, 4281, 18016, 14668, 18016, 476, 271, 269, 6434, 1070, 543, 585, 5007, 1944, 5615, 630, 271, 269, 9262, 18016, 14668, 18016, 476, 271, 269, 10844, 1040, 2755, 519, 454, 4488, 296, 268, 275, 729, 2966, 585, 1453, 9907, 1614, 547, 3670, 1296, 267, 922, 10727, 538, 12570, 1453, 1063, 835, 543, 1614, 1296, 2025, 814, 1044, 3254, 547, 581, 1434, 630, 324, 3052, 1421, 32762, 1696, 620, 1421, 454, 1220, 275, 282, 9149, 1696, 620, 1421, 454, 1708, 271, 282, 31474, 345, 1696, 620, 1421, 454, 1001, 275, 282, 4880, 1084, 1696, 620, 1421, 454, 1001, 279, 1040, 1280, 7664, 5301, 267, 570, 8464, 540, 519, 2589, 616, 4080, 538, 7305, 454, 26046, 543, 11778, 454, 21809, 6750, 9382, 941, 5340, 1210, 590, 31723, 4528, 476, 1839, 630, 306, 31723, 5549, 1421, 9628, 267, 14889, 267, 7330, 1040, 28977, 941, 1500, 538, 681, 4528, 476, 274, 269, 277, 269, 274, 27210, 294, 326, 7120, 273, 10189, 1040, 25392, 519, 1079, 7400, 2497, 538, 938, 1239, 267, 1775, 4318, 1421, 942, 2798, 630, 24038, 476, 272, 264, 29005, 1369, 5171, 630, 24038, 476, 273, 1070, 649, 1031, 5276, 6404, 3631, 630, 299, 12613, 338, 264, 609, 5021, 10171, 16759, 547, 5659, 519, 19976, 1239, 269, 700, 12613, 338, 1450, 519, 21341, 1369, 519, 1239, 547, 581, 20039, 585, 269, 589, 27667, 4756, 729, 9833, 607, 2348, 513, 1713, 9295, 547, 519, 2203, 950, 922, 476, 4817, 260, 6015, 8884, 630, 4817, 260, 16275, 264, 1705, 711, 1331, 519, 1871, 4642, 563, 29309, 532, 18880, 543, 13038, 1955, 1584, 566, 454, 4263, 5384, 476, 272, 267, 7508, 8464, 941, 1336, 593, 454, 29248, 4331, 7726, 32666, 630, 271, 16275, 267, 476, 275, 8946, 13211, 10387, 10056, 20309, 7726, 32666, 630, 271, 16275, 267, 476, 273, 8946, 13211, 4488, 296, 268, 275, 630, 275, 16275, 267, 476, 1626, 8946, 1070, 5386, 5179, 1646, 630, 1626, 16275, 267, 476, 2767, 8946, 1070, 15366, 2069, 1377, 630, 1240, 16275, 267, 476, 4343, 8946, 1070, 543, 2121, 7622, 4747, 630, 4029, 16275, 267, 476, 4817, 8946, 1040, 634, 9741, 779, 14330, 2752, 1449, 4951, 602, 1239, 693, 5384, 476, 272, 941, 7508, 4625, 693, 4351, 267, 6543, 485, 454, 273, 815, 476, 736, 267, 280, 4649, 2676, 4206, 815, 476, 2641, 267, 4962, 275, 2676, 335, 815, 476, 271, 269, 6924, 275, 269, 1677, 6023, 519, 7508, 1239, 693, 5384, 476, 272, 267, 649, 1031, 2789, 791, 20706, 630, 11085, 1040, 634, 24696, 4480, 25361, 538, 7508, 1239, 2687, 547, 16045, 4162, 543, 1894, 4767, 538, 519, 1239, 609, 824, 5171, 630, 288, 345, 584, 1696, 620, 1421, 454, 1001, 272, 282, 5576, 29195, 1299, 24023, 2676, 1220, 273, 282, 8709, 717, 1074, 601, 1696, 620, 1421, 454, 1001, 280, 1070, 3976, 2810, 8579, 1379, 543, 4227, 12886, 3361, 676, 7508, 1239, 630, 291, 1180, 619, 1696, 620, 1421, 454, 1220, 277, 282, 4880, 1084, 1696, 620, 1421, 454, 1001, 278, 1040, 634, 1739, 4632, 941, 3769, 585, 519, 16759, 540, 7508, 2418, 281, 2085, 267, 4008, 267, 6217, 4567, 267, 5386, 5179, 1646, 267, 15366, 2069, 1377, 267, 2121, 7622, 4747, 267, 543, 4093, 593, 519, 1614, 2385, 5359, 269, 14210, 791, 20706, 941, 5340, 630, 306, 614, 928, 1696, 620, 1421, 454, 1220, 280, 1070, 543, 7535, 539, 2164, 616, 4080, 563, 18744, 7508, 1239, 693, 5384, 476, 272, 941, 791, 3176, 1317, 700, 12613, 338, 666, 6023, 7508, 1246, 5346, 1239, 2798, 540, 513, 16045, 607, 1279, 607, 2418, 616, 7508, 630, 14814, 569, 264, 693, 4351, 630, 23562, 7416, 1696, 620, 1421, 454, 1001, 274, 1040, 4475, 267, 5171, 945, 1185, 7508, 1239, 693, 5384, 476, 273, 267, 476, 274, 267, 610, 476, 275, 941, 1869, 3769, 538, 519, 9382, 269, 31932, 1239, 941, 1336, 693, 5384, 476, 273, 630, 1839, 16275, 543, 476, 13932, 8946, 1453, 1070, 5384, 476, 274, 630, 1839, 16275, 543, 476, 12293, 8946, 1453, 1070, 543, 5384, 476, 275, 630, 4510, 16275, 543, 476, 14225, 8946, 1453, 1040, 1280, 476, 4343, 1453, 609, 513, 16275, 630, 7918, 8472, 543, 476, 10844, 8946, 1453, 630, 4097, 15992, 1239, 941, 2139, 585, 693, 2547, 1614, 942, 2798, 269, 634, 9741, 779, 14330, 2752, 1449, 4951, 602, 519, 2418, 2066, 519, 2185, 942, 2798, 941, 711, 7508, 4625, 693, 4351, 27210, 335, 2999, 476, 271, 269, 9826, 1040, 8616, 267, 519, 7508, 1145, 540, 519, 2418, 729, 8200, 593, 4767, 4162, 540, 519, 5171, 267, 1775, 4318, 1421, 942, 2798, 540, 7589, 543, 5868, 269, 19893, 1510, 5384, 476, 273, 1239, 849, 1705, 711, 723, 1239, 689, 5384, 476, 274, 543, 5384, 476, 275, 282, 543, 519, 6749, 13050, 729, 811, 4749, 4767, 538, 519, 8946, 1895, 630, 5408, 7305, 454, 306, 274, 585, 606, 7650, 540, 519, 2179, 540, 7508, 1239, 1040, 901, 729, 1317, 1453, 609, 513, 16275, 10272, 10506, 610, 13508, 2533, 5781, 543, 1223, 581, 4553, 909, 972, 269, 9717, 602, 519, 7508, 1145, 1223, 7361, 581, 6045, 676, 4767, 1239, 267, 649, 10924, 602, 2418, 941, 7508, 693, 4351, 543, 8399, 539, 609, 700, 12613, 338, 269, 5753, 609, 543, 1510, 7508, 1239, 2798, 1705, 711, 8428, 538, 2085, 693, 5384, 476, 272, 2676, 339, 815, 910, 272, 269, 2918, 2676, 335, 815, 476, 271, 269, 21172, 267, 4008, 3892, 267, 6543, 485, 454, 273, 815, 476, 272, 269, 3066, 2676, 335, 815, 476, 271, 269, 16348, 267, 5386, 5179, 1646, 2676, 339, 815, 910, 271, 269, 4200, 2676, 335, 815, 476, 271, 269, 27844, 267, 543, 15366, 2069, 1377, 2676, 339, 815, 910, 272, 269, 1626, 2676, 335, 815, 476, 271, 269, 26316, 269, 8616, 1453, 945, 15548, 538, 782, 6329, 1185, 2362, 2121, 7622, 4747, 982, 1346, 609, 7508, 1239, 2798, 2676, 339, 815, 910, 273, 269, 6795, 2676, 335, 815, 476, 271, 269, 18089, 563, 273, 2982, 519, 2698, 8464, 543, 3044, 24017, 585, 519, 4632, 829, 1895, 693, 1142, 942, 1448, 543, 519, 4830, 454, 339, 3613, 520, 2524, 585, 1895, 6476, 269, 9122, 593, 2385, 5359, 267, 519, 1453, 609, 513, 16275, 17820, 7864, 5294, 3469, 3527, 982, 741, 8946, 9905, 693, 5384, 476, 274, 2676, 339, 815, 476, 272, 269, 4200, 2676, 335, 815, 476, 271, 269, 271, 5325, 267, 543, 5384, 476, 275, 2676, 339, 815, 476, 273, 269, 6349, 2676, 335, 815, 476, 271, 269, 271, 4510, 269, 3143, 824, 1895, 3604, 941, 1336, 269, 6423, 23959, 454, 306, 276, 585, 21374, 1063, 1353, 4632, 543, 1063, 1353, 4632, 543, 6217, 5829, 2188, 269, 8431, 563, 306, 272, 2982, 8642, 11269, 540, 1367, 7648, 693, 519, 2185, 942, 2798, 563, 8867, 12069, 543, 25833, 3004, 915, 1559, 540, 5927, 987, 545, 10341, 454, 309, 807, 513, 6101, 2203, 1922, 9231, 5650, 540, 700, 12613, 267, 5051, 811, 1950, 3631, 941, 19034, 547, 519, 1239, 269, 1635, 1210, 519, 2698, 6060, 540, 1142, 26003, 545, 5578, 267, 6606, 267, 607, 519, 8200, 4756, 267, 649, 3323, 676, 17501, 606, 14955, 6463, 1797, 2203, 799, 3769, 1152, 513, 6378, 543, 4351, 18448, 607, 513, 15977, 269, 3973, 267, 649, 3769, 2085, 630, 1417, 1229, 264, 547, 519, 2203, 543, 8947, 1079, 3466, 540, 1689, 281, 5276, 543, 13392, 269, 589, 4351, 1606, 331, 2100, 1198, 585, 2085, 543, 513, 6378, 1198, 585, 4008, 630, 271, 815, 8695, 282, 476, 272, 815, 6690, 264, 941, 3773, 547, 519, 1655, 2085, 2203, 267, 799, 1705, 711, 2087, 519, 2203, 13352, 543, 3976, 616, 711, 4080, 1934, 269, 7053, 267, 1895, 15376, 630, 271, 815, 8946, 282, 476, 272, 815, 16275, 264, 543, 922, 5872, 609, 2085, 941, 3773, 267, 547, 4983, 952, 972, 941, 1895, 3604, 538, 519, 2949, 1377, 540, 1142, 26003, 545, 5578, 543, 922, 11095, 1576, 269, 634, 910, 273, 2845, 10171, 11196, 273, 454, 17247, 264, 2418, 941, 1031, 547, 5635, 1063, 519, 2203, 13352, 630, 1492, 10518, 532, 5650, 6700, 676, 8381, 543, 9164, 27210, 1220, 279, 264, 729, 1031, 547, 5833, 519, 910, 273, 454, 17247, 2418, 1310, 2789, 791, 20706, 1040, 634, 10171, 5223, 1449, 729, 5342, 547, 1449, 2436, 519, 1821, 4800, 538, 519, 910, 273 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 269, 1809, 585, 513, 16027, 945, 814, 7166, 606, 17707, 607, 513, 2063, 18992, 585, 986, 4575, 7031, 267, 972, 568, 513, 2620, 18354, 538, 519, 2669, 540, 713, 12926, 10723, 3662, 269, 3367, 1018, 968, 3080, 5682, 14136, 892, 5206, 827, 938, 5698, 609, 5741, 21060, 18479, 11244, 950, 649, 1101, 2968, 3238, 538, 10970, 11868, 5274, 18479, 11244, 18366, 563, 13425, 856, 1018, 649, 2461, 3257, 827, 621, 1631, 2336, 5804, 8228, 2361, 10274, 585, 27142, 602, 13599, 827, 2713, 538, 2673, 20453, 609, 3552, 19246, 547, 4687, 18479, 11244, 27919, 609, 1453, 998, 1650, 543, 1404, 547, 938, 14262, 1007, 1788, 968, 295, 2292, 289, 4315, 543, 21060, 19029, 5608, 649, 2461, 13991, 547, 13346, 519, 2250, 4904, 609, 4655, 547, 513, 2104, 540, 30398, 269, 6744, 856, 513, 2370, 3787, 540, 3776, 4518, 281, 4179, 2517, 24711, 1993, 1146, 21983, 3820, 270, 712, 22086, 10774, 582, 270, 543, 4179, 2517, 24711, 1993, 1146, 21983, 3820, 270, 712, 22086, 270, 25279, 11244, 2000, 913, 32551, 543, 952, 621, 26182, 596, 3368, 607, 1454, 607, 621, 26182, 721, 267, 1287, 519, 1158, 1175, 21266, 1540, 513, 2370, 3787, 811, 547, 519, 1434, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 267, 276, 267, 277, 267, 278, 267, 279, 267, 280, 267, 1015, 6540, 14310, 815, 1592, 9852, 777, 10857, 10033, 1535, 281, 1535, 1262, 273, 267, 1496, 272, 267, 273, 267, 274, 267, 275, 28413, 2745, 31114, 264, 0, 258, 3503, 513, 1982, 799, 3217, 476, 273, 9704, 267, 2473, 267, 312, 607, 3403, 543, 12958, 513, 476, 273, 8820, 5044, 269, 3097, 258, 634, 3693, 1871, 538, 519, 1775, 6253, 4737, 543, 795, 6253, 6241, 540, 519, 5044, 1058, 581, 1775, 265, 329, 563, 258, 8074, 281, 1775, 284, 271, 267, 272, 907, 267, 2473, 268, 272, 282, 795, 284, 271, 267, 272, 267, 382, 350, 30692, 312, 268, 272, 563, 258, 7151, 454, 258, 14597, 519, 1739, 11378, 616, 2016, 547, 519, 1982, 912, 258, 476, 274, 267, 276, 454, 258, 3973, 267, 519, 3977, 540, 519, 1982, 1058, 581, 912, 258, 20886, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 3910, 1496, 271, 267, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 3910, 1496, 271, 267, 476, 273, 267, 476, 275, 267, 476, 277, 267, 476, 279, 14963, 8528, 343, 267, 586, 815, 4786, 17301, 267, 3403, 2891, 11767, 2473, 1299, 962, 281, 834, 1040, 20889, 263, 12887, 4917, 2745, 2891, 343, 281, 4939, 323, 257, 4939, 1535, 994, 2745, 2891, 344, 281, 4939, 323, 257, 4939, 586, 2020, 258, 3355, 1125, 8900, 5044, 540, 2016, 10155, 1535, 11971, 454, 1551, 815, 11713, 314, 1551, 6910, 8443, 8079, 585, 524, 538, 2039, 3287, 264, 6540, 2745, 2891, 30467, 10155, 24333, 2855, 2020, 1721, 1775, 538, 2039, 3287, 2187, 825, 585, 795, 538, 2039, 12169, 2187, 1038, 2855, 5157, 4940, 6572, 9230, 328, 266, 272, 31618, 329, 266, 272, 11723, 2745, 19906, 264, 0, 3698, 2530, 318, 528, 318, 16118, 263, 514, 2492, 267, 6364, 2187, 825, 4747, 23544, 815, 2040, 263, 514, 2492, 994, 825, 6364, 23544, 815, 2040, 263, 719, 2492, 2020, 825, 952, 4747, 23544, 3436, 6364, 23544, 912, 1038, 2132, 834, 266, 257, 1341, 1193, 263, 514, 2492, 23544, 910, 6364, 23544, 994, 825, 952, 4747, 23544, 2999, 6364, 23544, 912, 1038, 2132, 29038, 257, 1341, 1193, 263, 719, 2492, 23544, 910, 4747, 23544, 994, 825, 952, 4747, 23544, 2652, 6364, 23544, 912, 1038, 2132, 834, 284, 271, 5016, 454, 3698, 1292, 10031, 825, 1820, 10857, 1601, 318, 528, 318, 16118, 8443, 1015, 3910, 1496, 1015, 28413, 825, 1820, 10857, 1601, 318, 528, 318, 16118, 8443, 1015, 3910, 1496, 736, 267, 476, 1789, 28413, 825, 1820, 10857, 1601, 318, 528, 318, 16118, 8443, 272, 267, 476, 273, 267, 476, 274, 3910, 1496, 274, 8079, 2020, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1292, 4590 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 606, 7778, 269, 4014, 519, 4901, 4806, 729, 519, 2343, 538, 519, 1788, 13460, 267, 19310, 2787, 3270, 540, 5872, 7153, 950, 972, 729, 930, 2186, 540, 4655, 1063, 5380, 269, 898, 568, 2009, 602, 3610, 12212, 2887, 1394, 593, 811, 2757, 2081, 540, 15025, 950, 6963, 2853, 616, 1007, 610, 14542, 547, 873, 269, 1306, 6963, 2853, 2968, 811, 7839, 267, 3173, 3459, 547, 5469, 22195, 1063, 1053, 1510, 3610, 1459, 630, 324, 3052, 1421, 670, 619, 327, 330, 578, 6308, 1299, 5576, 8705, 345, 267, 476, 1960, 280, 1040, 769, 519, 715, 281, 15575, 337, 4259, 689, 799, 1250, 1239, 14340, 267, 972, 616, 1082, 1806, 540, 519, 1453, 543, 803, 1071, 268, 24554, 532, 2093, 602, 3112, 581, 11911, 547, 1022, 835, 1268, 4805, 269, 3690, 18587, 543, 3381, 19827, 540, 891, 16395, 1106, 519, 1257, 585, 2079, 538, 519, 2164, 11271, 540, 713, 12031, 630, 2419, 9532, 476, 275, 267, 476, 276, 543, 476, 277, 1040, 476, 6812, 476, 273, 269, 275, 10390, 634, 4222, 540, 513, 1167, 27641, 5626, 1935, 547, 519, 1620, 540, 1914, 25959, 3012, 673, 8155, 568, 538, 519, 17602, 775, 1063, 4974, 875, 519, 3157, 676, 799, 789, 616, 7858, 7007, 1599, 607, 1514, 3527, 689, 1369, 513, 25349, 5943, 630, 21574, 6202, 267, 476, 1220, 274, 1040, 898, 2636, 513, 1445, 593, 519, 2495, 540, 8155, 538, 6128, 607, 1453, 4020, 543, 7259, 547, 602, 2495, 269, 901, 1826, 540, 1935, 568, 7508, 689, 519, 1382, 3332, 543, 3976, 7472, 513, 2631, 540, 14413, 638, 2329, 3823, 938, 1620, 540, 519, 1762, 1126, 779, 9295, 547, 6310, 2853, 269, 3733, 1353, 9607, 602, 14413, 638, 2329, 269, 769, 713, 1353, 267, 594, 2015, 519, 2259, 540, 6128, 607, 11407, 543, 519, 1995, 540, 14374, 2861, 1565, 607, 13883, 1369, 513, 1880, 4259, 281, 519, 715, 281, 15575, 337, 6128, 1382, 1353, 1895, 269, 5457, 532, 519, 10054, 3297, 17801, 558, 1385, 1108, 267, 4205, 1934, 616, 6956, 607, 851, 540, 513, 3152, 1514, 3510, 267, 711, 1175, 519, 1599, 540, 513, 10085, 19631, 6292, 630, 294, 4752, 2006, 267, 476, 1220, 272, 1040, 1306, 1167, 27641, 5626, 19767, 267, 649, 4612, 1759, 593, 519, 12170, 2963, 540, 519, 9275, 5872, 543, 1022, 5885, 2963, 602, 5171, 4956, 569, 7259, 547, 630, 10472, 1522, 1331, 17267, 610, 12400, 1040, 4475, 267, 519, 3381, 19827, 540, 519, 2898, 1895, 616, 2808, 519, 17046, 2707, 540, 6392, 3823, 519, 19326, 4767, 269, 1717, 267, 519, 1770, 540, 2079, 538, 1250, 1353, 568, 519, 11407, 267, 711, 519, 1126, 269, 898, 568, 4502, 4304, 1934, 1586, 519, 4644, 540, 4358, 609, 519, 11407, 2864, 982, 519, 5171, 630, 10955, 2072, 1299, 25260, 267, 476, 1220, 276, 1040, 5494, 6847, 3587, 519, 1843, 540, 1353, 676, 6313, 875, 621, 568, 1031, 676, 10529, 547, 1685, 1179, 16666, 1514, 3527, 267, 899, 519, 12972, 5018, 1657, 269, 634, 2963, 585, 713, 6422, 1184, 3823, 1914, 25959, 3012, 673, 8155, 1131, 1287, 2874, 540, 6029, 950, 543, 875, 2911, 610, 1801, 547, 8155, 269, 4475, 267, 621, 568, 711, 2556, 547, 917, 519, 4282, 540, 519, 5171, 610, 1179, 3634, 3823, 741, 6788, 585, 6310, 2259, 610, 519, 476, 6795, 4070, 540, 1702, 269, 634, 1152, 2963, 602, 568, 2877, 547, 4612, 17187, 7575, 568, 602, 799, 568, 2139, 547, 519, 5171, 2933, 538, 1483, 6066, 269, 901, 568, 711, 547, 2161, 602, 972, 568, 1152, 835, 7664, 602, 568, 4570, 585, 513, 1880, 5872, 269, 13038, 12496, 616, 2009, 267, 1759, 593, 519, 1382, 2243, 1373, 2808, 267, 519, 19767, 2078, 547, 519, 2146, 1373, 6594, 543, 1585, 2686, 610, 3140, 10080, 540, 1022, 540, 519, 5171, 269, 901, 729, 13890, 607, 513, 12550, 5133, 540, 519, 1071, 268, 18586, 540, 2495, 269, 634, 11407, 25107, 1909, 3340, 2921, 513, 2990, 5219, 547, 607, 968, 11907, 5991, 792, 892, 630, 4263, 330, 8657, 267, 21411, 3385, 1299, 307, 531, 3240, 267, 476, 1001, 272, 264, 865, 602, 1152, 1346, 2934, 540, 4282, 1500, 4143, 676, 519, 5171, 616, 2808, 269, 769, 1603, 909, 1250, 2079, 267, 594, 786, 2272, 585, 519, 6228, 540, 824, 2009, 12496, 676, 3246, 2898, 12415, 540, 1098, 8282, 9275, 5872, 538, 519, 1106, 540, 1806, 269, 1306, 519, 2079, 23131, 267, 594, 786, 1586, 1331, 1507, 12415, 1369, 519, 1257, 547, 9414, 2798, 269, 901, 568, 835, 1259, 602, 594, 1376, 609, 519, 11407, 2864, 982, 519, 5171, 269, 898, 3413, 3581, 14595, 12496, 689, 3988, 543, 8309, 547, 519, 2186, 540, 5188, 713, 2079, 568, 5497, 547, 28596, 269, 4438, 519, 715, 281, 15575, 337, 6128, 1382, 1895, 267, 519, 4305, 540, 519, 1453, 729, 547, 1404, 269, 3733, 1909, 607, 513, 11001, 729, 547, 2721, 856, 519, 6128, 538, 741, 1404, 269, 1306, 938, 5107, 7960, 267, 594, 4280, 2055, 610, 968, 2889, 22106, 725, 892, 630, 324, 3052, 1421, 1018, 798, 1453, 917, 827, 4642, 286, 2107, 875, 666, 596, 1397, 803, 2979, 609, 707, 1560, 24047, 547, 799, 789, 15527, 538, 2789, 2081, 269, 1452, 3638, 4205, 1106, 519, 4493, 540, 2079, 538, 519, 12377, 11271, 540, 519, 12031, 269, 1306, 7855, 543, 3872, 3173, 267, 649, 798, 938, 1655, 960, 950, 649, 7500, 689, 513, 2990, 540, 1373, 5483, 269, 4475, 594, 8044, 602, 609, 513, 17105, 6284, 540, 1762, 1453, 779, 4390, 547, 3565, 547, 4928, 2259, 267, 649, 786, 581, 1732, 9280, 547, 11760, 543, 4497, 1142, 2875, 269, 476, 2568, 3848, 476, 274, 281, 6396, 1108, 12824, 685, 2984, 616, 2938, 607, 4448, 547, 519, 1158, 519, 1259, 9660, 616, 1644, 547, 938, 4703, 281, 789, 616, 1480, 13402, 543, 1058, 3976, 711, 581, 11821, 609, 1018, 789, 616, 1152, 9277, 547, 968, 16225, 31865, 789, 723, 1082, 8747, 267, 543, 4352, 711, 3388, 4422, 267, 811, 982, 835, 540, 891, 8747, 1131, 2356, 1780, 607, 513, 1434, 6474, 282, 543, 6368, 267, 581, 519, 6474, 607, 1434, 607, 621, 949, 267, 9039, 540, 519, 8747, 1058, 581, 2938, 607, 519, 968, 738, 1493, 835, 1848, 901, 2022, 19640, 5075, 30283, 27453, 1279, 2245, 540, 8156, 1382, 607, 519, 2534, 540, 25643, 519, 1158, 779, 1378, 21981, 269, 630, 306, 325, 731, 267, 476, 1001, 273, 320, 267, 533, 269, 476, 278, 264, 634, 3483, 540, 519, 1699, 1353, 568, 547, 3561, 875, 1762, 1453, 7119, 538, 519, 1167, 27641, 1646, 540, 1914, 25959, 3012, 673, 8155, 269, 1717, 267, 519, 12319, 3812, 1058, 711, 581, 6956, 607, 513, 12001, 6041, 540, 4641, 267, 855, 2864, 607, 513, 4020, 540, 9553, 269, 769, 713, 1353, 267, 519, 1453, 779, 7589, 568, 7152, 998, 513, 476, 274, 9912, 1184, 540, 11407, 2079, 540, 31286, 1759, 593, 3381, 1239, 5892, 6394, 1282, 513, 1353, 602, 5916, 17801, 2762, 543, 24099, 12319, 630, 18250, 299, 749, 534, 267, 476, 1001, 271, 1040, 3962, 1900, 540, 2079, 568, 2966, 547, 2626, 835, 2460, 540, 519, 1382, 2243, 281, 1215, 798, 1762, 1453, 7119, 538, 519, 19908, 540, 1914, 25959, 3012, 673, 8155, 538, 14374, 2861, 5468, 286, 769, 3848, 476, 272, 540, 713, 12031, 630, 4089, 476, 272, 269, 274, 264, 594, 13890, 519, 1382, 1374, 540, 543, 519, 1239, 6383, 1282, 519, 715, 281, 15575, 337, 594, 543, 4083, 2090, 269, 901, 3769, 3877, 827, 1312, 519, 4259, 543, 519, 5171, 269, 4475, 267, 538, 713, 3184, 594, 1445, 593, 519, 1382, 1374, 540, 519, 1699, 1353, 799, 568, 6281, 1239, 2079, 593, 5892, 6394, 3381, 19827, 269, 901, 3184, 14592, 519, 1382, 1935, 3144, 267, 519, 1239, 6383, 543, 930, 27696, 10054, 3823, 519, 3157, 540, 16606, 543, 519, 4259, 269, 1452, 6810, 1683, 930, 1469, 3823, 875, 5683, 2152, 723, 1044, 9619, 543, 9096, 609, 513, 5758, 540, 519, 1382, 12191, 269, 476, 8618, 476, 274, 269, 272, 634, 1382, 1374, 634, 2243, 594, 993, 5461, 538, 3695, 20217, 513, 1445, 593, 2170, 1308, 3157, 543, 4061, 5267, 513, 12007, 4612, 633, 1935, 269, 2755, 519, 7811, 5943, 602, 28279, 1250, 1353, 568, 1167, 27641, 6530, 630, 10955, 2072, 1299, 25260, 267, 476, 1960, 273, 1070, 594, 786, 2721, 689, 7222, 960, 538, 11407, 2079, 630, 290, 15330, 517, 267, 476, 1220, 272, 264, 538, 1931, 547, 9414, 519, 1167, 27641, 2994, 1762, 1453, 946, 950, 789, 7119, 538, 519, 19908, 540, 1914, 25959, 3012, 673, 8155, 269, 769, 3848, 476, 273, 267, 594, 13890, 513, 2990, 1369, 799, 6128, 568, 6956, 547, 581, 513, 11407, 543, 1565, 6128, 568, 827, 7589, 538, 602, 11407, 269, 21637, 20218, 4928, 2853, 5000, 602, 7589, 543, 20741, 513, 1880, 4999, 540, 17185, 267, 20772, 543, 5698, 269, 19556, 16395, 799, 8451, 1287, 616, 6462, 676, 519, 3144, 23829, 6879, 1563, 1620, 540, 1914, 25959, 3012, 673, 8155, 267, 799, 3221, 1218, 4159, 547, 1142, 824, 998, 519, 2081, 789, 4020, 741, 1378, 7589, 269, 4475, 267, 538, 1931, 547, 1683, 2963, 538, 2626, 547, 1250, 1382, 2243, 267, 621, 568, 10257, 547, 5659, 519, 11407, 540, 1514, 4205, 1369, 606, 14374, 2861, 6128, 4259, 585, 1762, 1453, 269, 901, 12191, 729, 5697, 585, 1079, 4128, 269, 3689, 267, 11407, 2079, 593, 6923, 9648, 5872, 2636, 6609, 540, 3344, 540, 2792, 602, 3335, 1205, 3144, 585, 11292, 267, 971, 607, 2490, 1374, 630, 306, 3832, 6921, 4752, 267, 476, 1220, 278, 1070, 6863, 610, 512, 659, 527, 6876, 630, 290, 15330, 517, 267, 476, 1220, 272, 1040, 1306, 645, 879, 619, 26709, 630, 1960, 274, 264, 23403, 267, 519, 4295, 6286, 540, 4928, 8155, 2291, 693, 519, 1558, 1446, 767, 543, 8451, 689, 9940, 1565, 281, 968, 763, 4295, 540, 1018, 568, 4121, 998, 7589, 568, 950, 547, 798, 1018, 543, 875, 547, 798, 621, 892, 630, 335, 269, 476, 275, 1040, 634, 1360, 1184, 540, 556, 2305, 602, 2636, 5872, 547, 1599, 607, 12347, 607, 621, 1281, 14906, 619, 519, 1367, 3157, 540, 2792, 15865, 630, 310, 10152, 267, 476, 1960, 279, 1040, 898, 568, 519, 1360, 3144, 16519, 268, 7830, 11292, 1145, 540, 1914, 25959, 3012, 673, 8155, 602, 7472, 741, 2170, 1308, 1379, 269, 4475, 267, 11407, 2079, 32215, 338, 519, 10924, 543, 2488, 513, 1259, 540, 25643, 3157, 269, 5822, 267, 607, 513, 12191, 11407, 2079, 666, 5031, 519, 4390, 585, 1453, 779, 7418, 547, 519, 19908, 540, 4928, 8155, 676, 2519, 593, 1018, 9275, 11407, 1522, 9585, 585, 873, 630, 290, 15330, 517, 267, 476, 1220, 272, 1040, 769, 1880, 267, 519, 17720, 3919, 540, 2911, 547, 7580, 7475, 6585, 1390, 9153, 1934, 269, 18623, 616, 1175, 4098, 547, 5431, 1762, 1453, 779, 4390, 547, 18783, 4539, 547, 875, 1866, 4309, 543, 949, 4431, 547, 741, 7418, 630, 306, 32752, 1299, 6154, 17507, 267, 476, 1960, 279, 1040, 1879, 594, 2328, 827, 8155, 1373, 18611, 1282, 1514, 5872, 267, 594, 993, 13288, 547, 891, 5817, 1167, 27641, 2994, 3823, 20310, 1866, 610, 28487, 532, 1489, 585, 3283, 2990, 630, 10955, 2072, 1299, 25260, 267, 476, 1960, 273, 1040, 4935, 594, 8044, 602, 1210, 11407, 2079, 593, 13973, 687, 540, 6923, 9648, 9275, 4205, 6592, 538, 14374, 2861, 6128, 5468, 786, 1312, 1683, 4030, 3823, 1453, 779, 7418, 547, 519, 1646, 540, 1914, 25959, 3012, 673, 8155, 543, 1683, 513, 1797, 547, 4766, 538, 1469, 519, 1167, 27641, 2994, 789, 946, 269, 1548, 568, 2877, 568, 2298, 1239, 602, 568, 849, 2347, 269, 1635, 2298, 594, 3277, 547, 3381, 1239, 602, 1131, 4061, 1489, 16606, 540, 6190, 10409, 1469, 269, 1635, 2347, 594, 3277, 547, 1519, 2614, 4205, 936, 513, 1974, 540, 942, 547, 1683, 1806, 540, 519, 3157, 3238, 269, 769, 8791, 476, 272, 269, 279, 267, 594, 4330, 1585, 3344, 540, 519, 1239, 6383, 1282, 519, 2947, 3923, 715, 281, 15575, 337, 1353, 269, 4438, 1250, 10927, 1353, 17440, 267, 594, 5697, 1896, 4205, 689, 519, 2698, 476, 1691, 3108, 540, 2756, 582, 1901, 543, 1098, 8282, 873, 538, 1931, 547, 1450, 513, 811, 2143, 11407, 610, 267, 4481, 267, 6643, 2079, 269, 898, 729, 1282, 713, 942, 602, 594, 3459, 547, 5431, 519, 1871, 540, 519, 1239, 594, 1185, 6394, 267, 2523, 922, 17381, 3823, 1126, 3562, 30512, 543, 1126, 3562, 14194, 738, 5872, 269, 1280, 519, 5301, 540, 713, 1353, 267, 5473, 606, 14374, 2861, 1895, 4259, 267, 594, 3970, 1250, 476, 8287, 946, 540, 519, 1239, 547, 519, 715, 281, 15575, 337, 4083, 6128, 1382, 1895 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 9246, 30735, 338, 269, 2274, 662, 795, 26818, 743, 657, 4486, 781, 960, 9246, 30735, 540, 519, 1480, 9997, 814, 936, 476, 1321, 1296, 2220, 8215, 609, 23939, 9788, 1035, 787, 331, 923, 538, 29656, 2143, 18116, 540, 17184, 4778, 269, 12266, 9246, 30735, 338, 616, 1224, 2901, 538, 9587, 689, 1283, 547, 5377, 610, 538, 9343, 689, 519, 1318, 610, 689, 519, 2451, 4894, 18537, 29275, 21264, 532, 9246, 30735, 338, 563, 8993, 1005, 856, 519, 25029, 540, 519, 552, 340, 538, 3584, 1644, 547, 1072, 666, 581, 28330, 547, 21264, 532, 26131, 1014, 9246, 30735, 338, 267, 1818, 621, 4101, 585, 3549, 547, 1544, 6619, 267, 11339, 2992, 528, 269, 6969, 519, 21264, 532, 540, 26131, 1014, 9246, 30735, 338, 267, 3504, 26131, 729, 14692, 344, 543, 12357, 609, 26009, 20375, 267, 9589, 4408, 267, 543, 606, 7164, 25196, 267, 1498, 1034, 1547, 901, 812, 729, 519, 1101, 547, 1224, 26131, 1014, 9246, 30735, 545, 6698, 267, 2943, 1004, 1832, 30534, 1864, 1500, 519, 7887, 9295, 4724, 21264, 532, 519, 9246, 30735, 338, 1547, 634, 1650, 540, 519, 21264, 618, 540, 9246, 30735, 923, 568, 5143, 4487, 2685, 538, 513, 2487, 1433, 267, 519, 10569, 540, 26131, 281, 519, 31117, 547, 21264, 26131, 1014, 9246, 30735, 923, 676, 8350, 12340, 740, 9469, 543, 887, 344, 740, 9469, 519, 1650, 540, 519, 21264, 618, 568, 2731, 519, 1650, 540, 795, 6756, 1922, 3757, 1723, 529, 13084, 3326, 542, 540, 535, 8896, 1317, 267, 4352, 1082, 1866, 13986, 547, 19586, 9246, 30735, 923, 267, 621, 1547, 13536, 8942, 693, 21264, 532, 26131, 1014, 9246, 30735, 338, 941, 1500, 676, 513, 4599, 12206, 538, 10120, 26131, 1282, 519, 476, 280, 628, 543, 476, 1015, 628, 5553, 676, 1287, 267, 9246, 30735, 338, 1185, 1279, 1044, 16618, 538, 26131, 267, 543, 941, 8719, 676, 519, 2941, 6776, 543, 513, 32106, 26897, 563, 13828, 519, 1629, 5328, 26131, 1014, 7097, 543, 519, 19967, 1893, 941, 1134, 8153, 676, 519, 26131, 5505, 540, 519, 476, 866, 628, 2540, 945, 5249, 593, 21264, 532, 519, 7097, 593, 519, 6149, 2094, 519, 1257, 540, 1312, 519, 1629, 5328, 543, 19967, 729, 9838, 267, 621, 729, 6956, 602, 519, 26131, 1014, 9246, 30735, 338, 849, 729, 519, 1482, 269, 28762, 30735, 338, 1702, 540, 875, 547, 1224, 543, 2328, 26131, 1014, 9246, 30735, 338, 1185, 1044, 4503, 585, 7366, 540, 1296, 950, 5640, 538, 21570, 689, 519, 25174, 593, 13986, 547, 21264, 873, 621, 729, 2219, 789, 1131, 7866, 519, 25386, 7326, 540, 3504, 26131, 1014, 20577, 269, 5463, 8327, 532, 9246, 30735, 338, 1310, 519, 2887, 540, 3504, 26131, 1014, 10340, 538, 476, 1789, 27652, 267, 519, 2495, 540, 9246, 30735, 338, 7283, 513, 9814, 585, 827, 476, 272, 267, 8517, 1296, 1287, 267, 1282, 519, 18008, 13567, 540, 26131, 689, 476, 9692, 279, 547, 476, 5197, 272, 267, 513, 1895, 540, 18008, 7980, 543, 8030, 20114, 513, 1804, 6149, 1631, 1634, 607, 519, 887, 3553, 3279, 6149, 269, 476, 279, 3504, 1603, 1949, 602, 10093, 1405, 1044, 1232, 760, 22363, 2943, 1212, 11927, 9246, 30735, 923, 646, 543, 1010, 3404, 5112, 9164, 4280, 585, 948, 689, 519, 1857, 538, 21264, 532, 1486, 334, 268, 601, 600, 924, 789, 5950, 1547, 31981, 540, 519, 949, 320, 281, 21264, 532, 512, 1731, 531, 476, 2735, 275, 693, 2085, 476, 1240, 9789, 21836, 18579, 540, 519, 865, 10777, 21184, 8366, 1765, 1721, 1010, 1896, 12326, 543, 4574, 827, 21264, 532, 949, 534, 9246, 30735, 338, 646, 4586, 5475, 986, 4575, 513, 1906, 17633, 1775, 3323, 547, 5469, 1018, 5526, 547, 581, 9246, 30735, 338, 693, 519, 1283, 543, 5377, 540, 519, 11454, 4786, 15545, 2991, 1082, 1296, 540, 4974, 519, 887, 3553, 3279, 6149, 543, 824, 1806, 540, 3504, 26131, 1014, 1603, 267, 795, 6756, 1922, 3757, 9809, 12251, 13084, 3326, 542, 1232, 760, 22363, 9246, 30735, 338, 538, 476, 9264, 273, 875, 1705, 13084, 3326, 542, 21264, 9246, 30735, 338, 13084, 3326, 542, 1223, 1224, 1312, 19967, 543, 2941, 6776, 269, 16480, 267, 519, 6602, 540, 519, 887, 3553, 3279, 6149, 538, 519, 3735, 476, 1240, 628, 2540, 729, 1034, 15747, 538, 519, 21264, 532, 540, 26131, 1014, 9246, 30735, 923, 543, 5795, 5640, 1732, 5813, 883, 3504, 26131, 1014, 2528, 269, 634, 887, 3553, 3279, 6149, 729, 513, 2462, 948, 538, 21264, 532, 519, 1893, 527, 729, 2854, 538, 1614, 4654, 267, 646, 328, 5766, 569, 874, 338, 267, 32204, 543, 1629, 5328, 630, 534, 1278, 26131, 1014, 13172, 264, 527, 5280, 513, 1390, 4308, 607, 1004, 2907, 4586, 26123, 26131, 1014, 9246, 30735, 923, 543, 519, 887, 3553, 3279, 6149, 519, 1883, 547, 21264, 532, 519, 3504, 26131, 1014, 9246, 30735, 338, 729, 1336, 538, 519, 6602, 540, 519, 887, 3553, 3279, 6149, 538, 476, 9692, 279, 269, 5463, 8327, 532, 3504, 26131, 1496, 12575, 9948, 968, 933, 1294, 23678, 1386, 10876, 1496, 514, 26131, 316, 7961, 10179, 762, 5546, 543, 3029, 1572, 9246, 30735, 338, 267, 11589, 519, 3504, 5638, 540, 2215, 867, 658, 7326, 26002, 1082, 5686, 540, 5017, 543, 581, 6814, 540, 513, 9490, 1158, 267, 865, 602, 519, 3965, 540, 2245, 949, 581, 3370, 547, 8011, 532, 6502, 267, 789, 1200, 12245, 519, 16858, 540, 15438, 1547, 634, 960, 540, 21264, 532, 519, 9246, 30735, 338, 4682, 593, 1310, 13084, 3326, 542, 779, 2669, 543, 5170, 909, 547, 519, 1459, 1554, 267, 16111, 3246, 1007, 1344, 827, 1272, 538, 1547, 5463, 8327, 532, 949, 320, 9848, 874, 338, 519, 6189, 543, 9246, 30735, 338, 540, 5493, 523, 4302, 1305, 621, 6306, 689, 824, 949, 320, 4609, 540, 519, 5929, 5736, 723, 741, 3946, 2407, 21264, 532, 1547, 0, 27645, 262, 4967, 281, 519, 476, 3422, 278, 22275, 31558, 8940, 2967, 1846, 529, 326, 990, 879, 949, 476, 3422, 278, 267, 621, 1226, 730, 519, 13338, 2242, 609, 519, 24057, 992, 540, 25641, 4031, 543, 519, 10888, 540, 2924, 610, 15114, 585, 705, 10594, 1149, 269, 901, 568, 513, 1650, 593, 519, 476, 3422, 278, 22275, 31558, 547, 1293, 705, 10594, 10904, 538, 519, 14829, 543, 6338, 4031, 4481, 585, 519, 4324, 540, 705, 10594, 10904, 713, 1650, 4682, 547, 2011, 593, 519, 476, 2918, 628, 540, 949, 476, 1001, 278, 521, 2125, 26725, 269, 634, 476, 3422, 278, 22275, 31558, 3823, 705, 13092, 2924, 814, 1279, 1044, 9833, 607, 513, 11358, 1448, 538, 2413, 705, 13092, 1686, 538, 31065, 855, 4010, 1018, 9187, 6838, 593, 602, 1554, 585, 476, 5325, 1296, 267, 543, 1256, 269, 634, 476, 3422, 278, 22275, 31558, 713, 1770, 540, 960, 6212, 593, 519, 476, 3422, 278, 22275, 31558, 799, 6569, 1079, 25641, 6810, 689, 519, 513, 26894, 11156, 891, 6810, 1185, 15286, 705, 13092, 1004, 689, 1373, 18886, 538, 519, 4013, 14829, 267, 2495, 789, 1705, 711, 13166, 1293, 607, 4961, 269, 2201, 949, 476, 2767, 267, 476, 3422, 278, 267, 513, 14094, 2103, 20366, 538, 513, 22275, 31558, 547, 1689, 875, 705, 13092, 543, 8731, 637, 2269, 527, 6532, 518, 1004, 941, 5219, 547, 538, 519, 11156, 563, 1607, 2376, 13187, 602, 519, 9000, 540, 513, 5859, 585, 513, 2048, 7224, 685, 8917, 538, 519, 476, 3422, 278, 22275, 31558, 729, 2629, 711, 1152, 547, 922, 6364, 855, 267, 811, 11932, 267, 547, 922, 2932, 543, 7766, 862, 655, 2610, 269, 634, 3483, 540, 519, 476, 3422, 278, 22275, 31558, 729, 547, 1118, 1079, 2242, 547, 519, 513, 26894, 11156, 891, 2242, 13087, 519, 1455, 17314, 2229, 547, 281, 1118, 4031, 585, 782, 540, 519, 513, 26894, 1004, 676, 993, 2056, 521, 7906, 540, 519, 11156, 630, 2181, 16227, 1004, 540, 519, 2048, 1987, 580, 1400, 5198, 538, 1022, 1533, 262, 941, 16934, 264, 543, 269, 634, 575, 756, 1537, 30198, 16285, 22275, 31558, 540, 476, 3422, 278, 729, 4371, 593, 476, 1015, 694, 4697, 476, 3422, 278, 267, 538, 799, 575, 756, 1537, 339, 4115, 4961, 941, 4280, 2436, 789, 24714, 547, 1780, 896, 23882, 16285, 267, 609, 575, 756, 1537, 339, 12579, 5329, 741, 21099, 15114, 543, 513, 2027, 4567, 585, 575, 756, 1537, 30198, 1369, 838, 664, 269, 2904, 476, 2767, 7436, 519, 476, 2412, 628, 16683, 540, 519, 11566, 11802, 540, 519, 476, 3422, 278, 22275, 31558, 267, 538, 799, 3592, 476, 11011, 260, 540, 519, 513, 26894, 1004, 20366, 547, 2285, 519, 5313, 2229, 519, 13338, 1379, 547, 936, 20183, 519, 22266, 267, 9714, 532, 22457, 4031, 540, 519, 2829, 896, 799, 705, 10594, 1149, 543, 8731, 637, 2269, 527, 6532, 619, 941, 8731, 7757, 563, 763, 476, 3422, 278, 22275, 31558, 729, 513, 19506, 9740, 585, 6805, 513, 14094, 2103, 1739, 5756, 540, 6805, 543, 1875, 23949, 4246, 17933, 267, 936, 476, 3445, 260, 540, 782, 513, 14094, 2103, 20366, 538, 12797, 540, 993, 2056, 1079, 6810, 540, 519, 513, 26894, 11156, 269, 634, 476, 3422, 278, 22275, 31558, 729, 519, 7583, 332, 1588, 540, 513, 1279, 6560, 585, 2924, 543, 2463, 267, 585, 1514, 22644, 607, 1134, 607, 7862, 1354, 519, 1876, 9935, 267, 32398, 1570, 585, 519, 968, 13433, 892, 5859, 1705, 711, 1445, 7522, 569, 593, 519, 3656, 6286, 540, 13338, 1689, 269, 634, 476, 3422, 278, 22275, 31558, 3788, 519, 1034, 3811, 538, 519, 4182, 781, 1686, 593, 949, 476, 2767, 267, 811, 982, 476, 3445, 829, 1298, 540, 513, 14094, 2103, 20366, 547, 1331, 705, 13092, 1004, 538, 519, 14829, 543, 1450, 519, 1455, 17314, 563, 763, 476, 3422, 278, 22275, 31558, 782, 3755, 540, 713, 1382, 3391, 1058, 849, 581, 3222, 602, 1978, 1913, 267, 2474, 267, 610, 11673, 949, 581, 15520, 6213, 543, 616, 2808, 20025, 2221, 267, 855, 949, 723, 10630, 519, 8456, 540, 519, 2278, 610, 602, 540, 519, 1974, 538, 799, 789, 941, 2854, 269, 2311, 519, 942, 540, 519, 22275, 31558, 538, 476, 3422, 278, 267, 3771, 1245, 2868, 339, 729, 519, 6305, 14012, 543, 513, 12666, 2197, 5428, 22687, 2229, 729, 538, 1379, 519, 13338, 2689, 1184, 729, 862, 10642, 676, 29122, 2367, 345, 625, 945, 19622, 538, 23891, 4231, 476, 3422, 277, 269, 634, 476, 3422, 278, 22275, 31558, 729, 606, 1271, 4434, 585, 519, 6805, 1004, 540, 31065, 891, 17174, 1004, 1185, 20948, 519, 513, 26894, 5251, 585, 811, 982, 476, 2412, 267, 1822, 1296, 1354, 519, 12625, 540, 24067, 13896, 269, 634, 476, 3422, 278, 22275, 31558, 1500, 1686, 281, 513, 14094, 2103, 20366, 11566, 569, 547, 18985, 519, 11156, 547, 1331, 705, 13092, 1004, 538, 519, 14829, 543, 1450, 519, 1455, 17314, 547, 1711, 4031, 585, 873, 269, 634, 476, 3422, 278, 22275, 31558, 2243, 593, 519, 14469, 540, 3296, 476, 7906, 630, 16282, 12858, 264, 543, 519, 4735, 531, 540, 3296, 476, 14096, 729, 1152, 519, 11359, 22275, 31558, 547, 581, 9516, 676, 519, 513, 26894, 1004, 693, 519, 942, 543, 267, 609, 476, 3445, 278, 278, 829, 1298, 540, 17037, 538, 1489, 267, 729, 543, 3788, 519, 2582, 1034, 6462, 22275, 31558, 2243, 538, 513, 26894, 1686, 563, 4002, 519, 552, 557, 540, 519, 476, 2004, 628, 16683, 540, 519, 476, 3422, 278, 22275, 31558, 267, 538, 513, 23863, 16008, 538, 3844, 31065, 267, 5111, 476, 4968, 705, 13092, 543, 8731, 637, 2269, 527, 6532, 518, 30896, 689, 2066, 31065, 269, 634, 476, 3422, 278, 22275, 31558, 476, 272, 4214, 1018, 729, 519, 476, 3422, 278, 22275, 31558, 827, 1018, 941, 519, 2242, 547, 519, 11156, 602, 941, 6069, 519, 476, 3422, 278, 22275, 31558, 729, 6157, 513, 24182, 538, 31065, 779, 1686, 621, 729, 513, 1857, 8917, 547, 3313, 31065, 779, 6644, 593, 19249, 519, 11156, 538, 14621, 547, 6805, 513, 14094, 2103, 269, 634, 476, 3422, 278, 22275, 31558, 2680, 568, 1419, 5219, 547, 607, 2048, 320, 4090, 748, 7432, 1448, 538, 513, 26894, 1686, 685, 543, 538, 519, 3656, 1062, 476, 4352, 519, 22275, 31558, 666, 581, 2938, 607, 835, 540, 519, 1034, 1271, 2621, 538, 8236, 519, 21047, 267, 972, 616, 1869, 2048, 1492, 546, 2958, 338, 540, 519, 7484, 540, 519, 11802, 685, 1496, 2537, 269, 476, 2767, 949, 1107, 476, 3422, 278, 22275, 31558, 593, 476, 2767, 949, 476, 3422, 278, 267, 519, 513, 26894, 2229, 4371, 513, 22275, 31558, 713, 729, 513, 4090, 748, 7432, 1448, 538, 513, 26894, 1686, 519, 476, 3422, 278, 22275, 31558, 12012, 519, 513, 26894, 11156, 563, 763, 476, 3422, 278, 22275, 31558, 7710, 519, 3656, 543, 2797, 4644, 540, 519, 22275, 31558, 543, 519, 1279, 6560 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 3725, 18727, 476, 1691, 5988, 476, 1001, 277, 282, 7608, 476, 1240, 4728, 476, 1001, 277, 282, 3370, 476, 2641, 4728, 476, 1001, 277, 454, 12850, 2298, 267, 1942, 267, 543, 10727, 538, 3761, 616, 519, 1883, 24572, 2188, 585, 7082, 2623, 476, 1547, 769, 1931, 547, 3986, 2318, 7082, 2623, 267, 519, 3761, 2707, 1590, 711, 14207, 519, 1072, 540, 519, 2146, 282, 621, 1590, 581, 3015, 282, 621, 1590, 581, 2139, 538, 9424, 6190, 585, 519, 5497, 946, 476, 1547, 769, 513, 476, 1001, 275, 1353, 538, 25591, 267, 519, 4589, 1867, 538, 741, 1957, 602, 519, 11411, 540, 28227, 8851, 2306, 1857, 1216, 3761, 7199, 585, 6800, 269, 4340, 547, 519, 1353, 2164, 267, 7082, 6521, 547, 4244, 3761, 2959, 267, 971, 607, 4764, 16276, 543, 6870, 1688, 25653, 19401, 267, 552, 1162, 519, 11411, 540, 26622, 476, 4586, 273, 269, 10049, 543, 10613, 454, 273, 269, 272, 269, 13517, 540, 5530, 9351, 454, 301, 329, 8403, 13464, 568, 4092, 538, 918, 9461, 12751, 3256, 267, 631, 1195, 31243, 10588, 267, 693, 4678, 3363, 476, 279, 391, 504, 5881, 262, 3345, 543, 7043, 3363, 476, 1321, 391, 504, 4962, 262, 4639, 630, 8201, 476, 272, 1040, 634, 13464, 11392, 606, 16977, 2698, 540, 476, 27868, 276, 17529, 540, 1216, 829, 1554, 689, 1585, 3761, 2959, 563, 8201, 476, 272, 269, 10934, 540, 23683, 2274, 821, 6029, 631, 1195, 31243, 8664, 630, 14683, 2775, 539, 5835, 264, 543, 918, 9461, 8783, 3256, 630, 14683, 2775, 539, 4544, 1916, 273, 269, 272, 269, 272, 269, 715, 329, 8403, 2160, 4826, 3718, 454, 763, 6151, 1216, 6802, 14405, 1216, 689, 519, 6981, 1448, 693, 570, 807, 5211, 543, 15450, 547, 519, 2126, 4099, 267, 476, 1220, 7397, 2476, 267, 998, 513, 476, 277, 20878, 8006, 10612, 269, 2311, 519, 2126, 4099, 519, 1216, 10596, 998, 3500, 5070, 12086, 693, 513, 2095, 2557, 540, 476, 272, 269, 10619, 17529, 829, 8792, 630, 294, 15014, 1040, 634, 12086, 616, 1500, 909, 540, 28439, 6106, 540, 19288, 1570, 281, 18574, 693, 519, 5377, 267, 21432, 5070, 538, 519, 1647, 267, 543, 5386, 5070, 693, 519, 1283, 269, 1703, 568, 1100, 1394, 31683, 7271, 282, 4600, 16924, 4894, 13897, 689, 519, 1283, 4494, 950, 519, 2095, 2557, 3587, 1932, 1970, 610, 972, 568, 2799, 8514, 7190, 563, 763, 22012, 1216, 8928, 998, 513, 476, 275, 20878, 8006, 10612, 883, 513, 771, 26529, 7382, 1141, 20841, 568, 16924, 3773, 269, 634, 20841, 568, 29809, 883, 11737, 337, 3320, 5462, 9830, 267, 543, 3773, 547, 519, 22012, 1216, 269, 634, 5701, 1216, 568, 6740, 538, 513, 476, 4335, 271, 3766, 718, 517, 9096, 1216, 7382, 547, 7227, 585, 3892, 676, 8904, 2095, 547, 5234, 20453, 267, 11889, 5656, 267, 543, 2875, 3984, 1564, 269, 634, 5701, 1216, 568, 13859, 547, 13464, 476, 276, 2053, 513, 1554, 630, 1839, 267, 1822, 17529, 27473, 1916, 273, 269, 272, 269, 273, 269, 4826, 645, 3298, 619, 454, 763, 2160, 779, 1216, 536, 3298, 619, 30321, 1216, 689, 15231, 12535, 547, 6445, 476, 1911, 271, 3766, 718, 517, 13688, 693, 5234, 543, 2875, 20453, 269, 1717, 267, 3761, 689, 713, 2707, 568, 20093, 1738, 543, 568, 2944, 607, 2877, 269, 3958, 267, 972, 568, 1100, 2126, 540, 1216, 689, 713, 2707, 563, 273, 269, 272, 269, 274, 269, 13268, 720, 25530, 4826, 454, 289, 2714, 1194, 543, 5485, 2867, 1216, 616, 519, 1079, 1292, 6704, 1216, 2959, 593, 13464, 269, 1703, 616, 1082, 12478, 540, 10189, 6704, 1216, 3812, 538, 519, 2197, 269, 4107, 540, 519, 12478, 946, 16865, 12086, 543, 11158, 771, 26529, 1354, 11183, 269, 634, 2707, 540, 1216, 9775, 689, 6216, 547, 6216, 282, 6093, 2959, 1331, 7148, 1216, 267, 19401, 267, 24467, 267, 12535, 267, 543, 8933, 269, 1763, 6342, 593, 715, 329, 8403, 13464, 723, 4351, 13283, 585, 519, 1114, 12478, 282, 621, 7361, 5673, 593, 799, 6216, 568, 2139, 1282, 519, 942, 540, 6718, 269, 4340, 547, 519, 5619, 2164, 267, 606, 6059, 2698, 540, 476, 29045, 17529, 829, 1554, 540, 10189, 6704, 1216, 568, 10057, 593, 13464, 269, 15762, 2867, 1216, 568, 519, 3119, 1826, 540, 10189, 6704, 1216, 267, 13859, 538, 15985, 956, 540, 8938, 476, 4335, 1984, 559, 3438, 630, 332, 299, 264, 5485, 515, 1206, 563, 273, 269, 272, 269, 275, 269, 7435, 667, 1872, 28243, 454, 301, 329, 8403, 13464, 814, 1079, 1688, 268, 706, 326, 1216, 19401, 269, 634, 1134, 693, 519, 1394, 540, 23509, 5516, 342, 1166, 1846, 568, 606, 1930, 1134, 2139, 547, 1053, 585, 946, 269, 589, 2034, 1134, 4092, 538, 4395, 540, 21408, 4120, 1166, 1846, 814, 1044, 3957, 676, 1053, 607, 968, 31568, 344, 1560, 6100, 901, 1134, 814, 513, 1688, 6802, 543, 568, 1031, 585, 6704, 676, 5354, 540, 1053, 593, 13464, 269, 898, 2488, 606, 6059, 2698, 540, 476, 10482, 17529, 540, 6704, 1216, 829, 1554, 269, 7612, 476, 273, 568, 513, 4786, 6029, 519, 1216, 2959, 593, 715, 329, 8403, 28941, 563, 273, 269, 274, 269, 5843, 6798, 1670, 30352, 454, 12850, 5439, 689, 1142, 3761, 2707, 941, 7318, 585, 4527, 270, 11274, 775, 540, 5739, 14471, 269, 634, 7621, 325, 600, 5548, 698, 7699, 1216, 4152, 6539, 729, 1031, 585, 3566, 8344, 6514, 269, 634, 6539, 814, 4620, 686, 1673, 8460, 267, 10110, 550, 21181, 267, 9245, 12086, 267, 1688, 13234, 12511, 6802, 267, 543, 31294, 269, 634, 3937, 543, 782, 922, 17960, 616, 10322, 28895, 1354, 946, 267, 538, 1931, 547, 2061, 25619, 2164, 1813, 547, 12526, 269, 476, 2004, 20853, 540, 1142, 1216, 3732, 568, 6027, 1210, 513, 3044, 10322, 28895, 7893, 12718, 269, 634, 1216, 3732, 568, 29253, 998, 513, 9245, 6882, 540, 31736, 2450, 476, 271, 269, 3393, 8020, 6425, 269, 634, 9245, 6882, 568, 17861, 730, 585, 476, 1240, 910, 476, 2420, 3108, 693, 476, 4510, 391, 504, 290, 538, 5078, 10125, 540, 8984, 3337, 543, 2681, 269, 14117, 16690, 625, 616, 4646, 585, 32740, 897, 6134, 4551, 269, 2353, 824, 4778, 616, 1362, 539, 607, 1875, 1922, 1815, 531, 897, 6134, 4551, 269, 634, 4551, 616, 18886, 829, 476, 1911, 16720, 540, 1216, 3732, 607, 5205, 281, 1496, 10831, 540, 12733, 8108, 1770, 270, 24127, 540, 1216, 3732, 22012, 630, 2004, 16720, 4700, 316, 2608, 476, 1911, 563, 274, 269, 11778, 543, 9181, 687, 454, 274, 269, 272, 269, 11905, 540, 4826, 454, 8368, 476, 273, 6799, 519, 1216, 2959, 602, 519, 6800, 9053, 585, 1585, 5301, 282, 476, 1911, 5171, 630, 10170, 269, 275, 260, 994, 8201, 476, 273, 269, 11905, 540, 1216, 3761, 693, 715, 329, 8403, 2160, 267, 715, 329, 8403, 13464, 563, 8368, 476, 272, 269, 4578, 4015, 10851, 543, 741, 16977, 5095, 563, 272, 17239, 281, 9906, 21118, 601, 563, 8368, 476, 273, 269, 2776, 12401, 676, 2707, 563, 339, 809, 851, 538, 519, 5619, 269, 12321, 1328, 10425, 689, 519, 2160, 779, 13859, 7148, 1216, 269, 634, 17013, 798, 711, 3972, 519, 2298, 540, 1216, 4947, 689, 713, 7148, 269, 1358, 4782, 4420, 1194, 543, 5485, 2867, 1216, 267, 13859, 689, 3544, 2959, 269, 634, 1053, 6140, 4096, 593, 519, 10793, 344, 10610, 1134, 585, 6704, 269, 4107, 540, 519, 2875, 17013, 1767, 789, 1223, 711, 6488, 547, 4444, 10189, 6704, 1216, 543, 789, 3972, 519, 2298, 540, 1216, 4947, 689, 519, 1134, 563, 763, 6800, 267, 2705, 267, 946, 519, 7148, 1216, 585, 782, 824, 6469, 5301, 269, 10251, 267, 891, 5301, 666, 4196, 607, 2959, 540, 4598, 547, 519, 9228, 13572, 1216, 476, 1547, 1403, 519, 1216, 568, 8197, 13572, 267, 519, 6800, 949, 581, 12155, 547, 4611, 1072, 2042, 269, 901, 3366, 547, 519, 991, 585, 19027, 540, 519, 2298, 540, 1216, 13859, 547, 13464, 563, 274, 269, 273, 269, 4826, 10866, 693, 715, 329, 8403, 28941, 454, 763, 6800, 3668, 3972, 538, 519, 2298, 540, 1216, 5701, 543, 13859, 689, 519, 570, 807, 5211, 282, 713, 5795, 4473, 547, 519, 991, 585, 513, 6166, 2218, 1216, 2298, 1449, 269, 27842, 941, 9916, 585, 897, 6134, 4551, 267, 538, 1312, 519, 24925, 543, 3819, 12405, 269, 9122, 593, 519, 2010, 540, 2244, 946, 2259, 538, 519, 1858, 267, 519, 2101, 2298, 4145, 585, 570, 807, 5211, 616, 2168, 630, 338, 539, 2939, 4452, 264, 6211, 12526, 630, 13449, 1219, 1815, 566, 1040, 1703, 568, 1100, 4853, 2534, 538, 519, 1858, 269, 3958, 267, 519, 4527, 540, 897, 6134, 4551, 267, 10834, 519, 4527, 540, 5739, 14471, 538, 1216, 267, 1131, 948, 538, 8159, 952, 519, 1216, 2959, 616, 1494, 762, 476, 1547, 634, 1079, 12405, 941, 4988, 538, 1931, 547, 21656, 519, 2959, 540, 1022, 12526, 4611, 689, 4005, 1275, 476, 1547, 7305, 476, 274, 6799, 32740, 543, 1875, 1922, 1815, 531, 897, 6134, 4551, 12523, 538, 476, 1911, 2173, 299, 540, 5439, 5697, 689, 519, 2959, 607, 7396, 563, 4415, 519, 9868, 540, 10189, 1216, 267, 782, 519, 824, 5439, 1705, 711, 2743, 519, 2622, 2657, 9257, 630, 21766, 264, 5227, 23988, 540, 4642, 12523, 829, 3732, 540, 32740, 897, 6134, 4551, 267, 543, 476, 1015, 12523, 829, 3732, 540, 1875, 1922, 1815, 531, 897, 6134, 4551, 269, 634, 5439, 941, 13572, 609, 5739, 14471, 267, 930, 540, 873, 1932, 3875, 547, 1293, 630, 307, 301, 12839, 1070, 1256, 1310, 2126, 540, 519, 1216, 269, 1452, 2164, 17854, 7082, 4145, 585, 519, 2298, 540, 1216, 13859, 547, 715, 329, 8403, 13464, 563, 295, 1301, 995, 14471, 2333, 538, 2551, 538, 519, 19401, 1282, 519, 24925, 4005, 269, 1452, 1522, 581, 8329, 998, 13719, 15780, 2095, 538, 519, 1858, 282, 2147, 3932, 729, 6537, 538, 513, 476, 1001, 276, 1353, 538, 824, 2694, 540, 23683, 2274, 821, 476, 4586, 763, 1164, 15451, 12523, 538, 519, 5757, 1282, 519, 24925, 4005, 1223, 581, 11911, 547, 1930, 1219, 1815, 566, 267, 543, 519, 1480, 543, 3662, 3653, 267, 10678, 883, 519, 5757, 998, 2627, 20359, 610, 1463, 546, 18804, 883, 519, 25318, 5757, 476, 1547, 634, 4389, 9190, 12523, 538, 519, 3819, 4005, 616, 4440, 1813, 8766, 2627, 20359, 563, 10112, 11167, 570, 301, 12839, 568, 6697, 547, 476, 1220, 15451, 12523, 538, 476, 1911, 2173, 299, 3732, 267, 519, 4826, 3718, 9744, 814, 5934, 2126, 630, 4134, 26529, 264, 4398, 540, 476, 10037, 260, 543, 513, 5021, 540, 476, 9834, 10065, 1717, 267, 519, 9096, 1216, 1869, 2115, 2417, 771, 26529, 1813, 547, 32740, 897, 6134, 12523, 1373, 3152, 982, 519, 14959, 5227, 3970, 563, 300, 17853, 12523, 538, 519, 5701, 1216, 2333, 2059, 609, 519, 18180, 269, 901, 949, 581, 1813, 547, 556, 4186, 8727, 267, 998, 20984, 538, 519, 12992, 267, 538, 2127, 1141, 1480, 2238, 949, 581, 10962, 5739, 14471, 883, 519, 454, 8368, 476, 274, 269, 2051, 6134, 4551, 538, 1216, 5439, 563, 272, 307, 301, 12839, 281, 18320, 26597, 547, 4032, 563, 4248, 269, 898, 949, 849, 581, 1813, 547, 546, 13388, 1782, 15895, 771, 26529, 2059, 519, 18180, 476, 2073, 513, 21483, 5818, 547, 20659, 15451, 10307, 538, 519, 1216, 269, 1717, 267, 713, 7872, 3340, 2417, 27792, 607, 547, 519, 4527, 540, 5214, 3327, 543, 5135, 610, 824, 20659, 12363, 6475, 3398, 832, 476, 4586, 28733, 569, 1498, 267, 15895, 771, 26529, 1281, 711, 14183, 20841, 3747, 538, 519, 2160, 779, 5701, 1216, 269, 634, 8261, 1840, 540, 20841, 1281, 711, 1491, 883, 2272, 950, 568, 771, 26529, 1932, 1164, 610, 1932, 2370, 269, 1703, 3100, 547, 581, 1100, 3346, 942, 2359, 693, 519, 9096, 1216, 7382, 282, 3346, 942, 2636, 585, 2347, 29371, 540, 20841, 547, 3986, 3346, 609, 543, 7766, 9552, 540, 14471, 269, 634, 2009, 6228, 540, 4666, 10851, 538, 519, 9096, 1216, 7382, 1522, 849, 581, 4730, 513, 1909, 538, 519, 23696, 20841, 771, 26529, 476, 4586, 3519, 8019, 267, 519, 1699, 2126, 1062, 568, 24835, 762, 540, 8744, 519, 13464, 1216, 547, 3106, 4441, 269, 4329, 11938, 540, 519, 1062, 568, 2838, 547, 3986, 3486, 1655, 2259, 585, 6704, 1216, 2126, 1568, 563, 274, 269, 274, 269, 654, 3739, 1145, 547, 9796, 585, 7066, 730, 4826, 454, 763, 6800, 616, 8348, 547, 2628, 585, 13464, 1216, 952, 2126, 568, 18175, 24612, 547, 3106, 4441, 269, 898, 568, 7000, 538, 7612, 476, 274, 602, 519, 3119, 2601, 585, 4782, 2590, 5485, 2867, 543, 11480, 1216, 568, 6704, 269, 11683, 640, 540, 519, 17013, 786, 2628, 585, 5701, 1216, 689, 7148, 543, 519, 19401, 269, 3117, 28366, 616, 1256, 8348, 547, 2628 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 21328, 666, 581, 24721, 676, 4227, 729, 5653, 543, 9271, 267, 574, 2889, 22777, 538, 4398, 676, 6639, 18175, 2784, 566, 543, 4824, 3267, 6052, 5726, 6971, 519, 991, 585, 1648, 2533, 267, 543, 666, 1267, 538, 3267, 585, 519, 3328, 7082, 267, 950, 972, 616, 14949, 2472, 543, 2029, 2139, 10371, 1862, 7025, 2257, 563, 11321, 476, 2641, 267, 476, 1001, 273, 3267, 14970, 5682, 518, 281, 476, 274, 6052, 4149, 3058, 16370, 585, 2659, 5851, 10371, 1862, 898, 20205, 811, 982, 3483, 32472, 3167, 6472, 2443, 621, 20205, 5100, 10688, 2533, 269, 3267, 834, 12655, 2472, 585, 519, 1753, 723, 1831, 513, 5458, 2208, 1858, 538, 23099, 982, 476, 272, 267, 1822, 5321, 593, 476, 5325, 14143, 267, 2687, 547, 513, 1867, 676, 15019, 3163, 563, 13356, 476, 1240, 267, 476, 1001, 276, 3267, 589, 14229, 752, 32708, 540, 519, 1648, 22766, 4066, 649, 666, 2503, 547, 1294, 4166, 602, 3267, 634, 11633, 3163, 1299, 5303, 8416, 568, 3384, 1007, 17371, 3267, 7874, 543, 4359, 12432, 2326, 602, 2327, 3002, 3085, 1405, 4429, 21328, 18026, 9486, 1683, 2230, 8022, 543, 8654, 547, 713, 13566, 10051, 1547, 3267, 10549, 282, 581, 1500, 540, 2178, 267, 14463, 2326, 282, 543, 723, 954, 24286, 610, 20718, 10549, 269, 3267, 3794, 5074, 610, 4837, 4066, 723, 1831, 1360, 10427, 267, 543, 3267, 7450, 543, 1236, 2643, 697, 2472, 543, 2533, 5788, 595, 4954, 6362, 5788, 16661, 560, 686, 6137, 563, 4910, 7808, 6052, 5004, 7896, 269, 476, 2641, 3267, 901, 786, 2154, 1007, 2257, 267, 2029, 543, 1857, 3609, 10124, 269, 2334, 781, 519, 1909, 540, 3267, 1452, 1985, 5108, 1648, 4066, 723, 519, 2702, 547, 3986, 519, 4398, 540, 23099, 5499, 267, 31601, 2029, 547, 1020, 2472, 602, 5512, 9755, 547, 2333, 563, 19878, 476, 736, 267, 476, 1001, 273, 3267, 6052, 4398, 1107, 3257, 811, 609, 1447, 1648, 1107, 2640, 596, 267, 707, 2197, 267, 3267, 1651, 663, 27853, 15620, 838, 1177, 2740, 606, 5044, 540, 1007, 8654, 2472, 269, 3267, 982, 952, 649, 4769, 262, 512, 723, 1648, 18026, 4066, 543, 4507, 269, 3267, 4886, 543, 6388, 540, 1648, 18026, 2472, 267, 4066, 267, 543, 2533, 281, 563, 13202, 476, 2420, 267, 476, 1001, 275, 3267, 2991, 1296, 540, 1728, 701, 267, 1753, 1852, 543, 12957, 2472, 616, 11543, 3267, 1656, 21625, 616, 11235, 547, 581, 513, 6455, 8756, 585, 891, 2472, 543, 1644, 2533, 267, 2864, 982, 2029, 3549, 269, 3267, 11086, 267, 2436, 513, 5100, 1753, 568, 606, 1648, 18026, 1753, 814, 811, 547, 798, 3267, 2257, 5788, 2923, 5788, 3444, 6919, 563, 18719, 1324, 1648, 4398, 543, 4227, 1648, 3747, 616, 4922, 2808, 607, 23099, 20548, 26021, 1648, 4616, 568, 4122, 6829, 607, 519, 1587, 540, 3267, 538, 2804, 2497, 267, 4492, 3575, 267, 6639, 4398, 543, 824, 4632, 269, 23099, 1809, 1648, 2533, 616, 2352, 547, 2268, 267, 8200, 2390, 1514, 2796, 543, 4429, 21328, 4398, 3096, 8441, 538, 2257, 543, 2029, 547, 1683, 2533, 543, 2472, 602, 2154, 519, 946, 540, 1447, 1648, 269, 6201, 1331, 13868, 3267, 0, 290, 965, 267, 10447, 267, 1928, 269, 1473, 3233, 9044, 568, 513, 1360, 1455, 2943, 1419, 6456, 1966, 269, 898, 666, 2014, 513, 3099, 540, 3978, 1072, 2042, 1519, 11522, 267, 10447, 267, 26032, 540, 7362, 1299, 9221, 1928, 267, 1312, 998, 13027, 6547, 547, 9044, 543, 1813, 547, 6553, 3361, 676, 4598, 547, 9044, 13802, 269, 6168, 476, 1839, 260, 540, 519, 2551, 814, 513, 4719, 28810, 27383, 547, 9044, 269, 6423, 5291, 2517, 4178, 269, 18984, 1516, 332, 1245, 269, 1290, 7933, 328, 1725, 2670, 585, 1454, 811, 1344, 563, 300, 9529, 1299, 25016, 2068, 269, 1473, 3233, 28633, 616, 2356, 22480, 855, 930, 2249, 616, 1634, 547, 2014, 5761, 2042, 269, 3509, 2550, 609, 5817, 5761, 3676, 899, 10447, 1299, 2166, 10973, 27470, 616, 2523, 11630, 269, 2353, 21544, 22740, 1436, 547, 891, 28633, 2356, 5012, 547, 5312, 11522, 1299, 1535, 2001, 2242, 602, 798, 711, 4431, 547, 3044, 11257, 269, 7490, 5077, 513, 5761, 11285, 585, 2143, 4879, 1299, 960, 1575, 952, 596, 723, 4145, 269, 0, 1428, 260, 609, 2126, 269, 634, 2669, 2557, 689, 20575, 568, 827, 476, 2004, 260, 1510, 2126, 269, 769, 519, 2136, 2276, 267, 609, 2126, 267, 519, 2669, 2557, 12772, 547, 827, 476, 1428, 10065, 4107, 2665, 616, 11164, 4577, 20575, 269, 1280, 13969, 4577, 20575, 267, 519, 2669, 2557, 568, 476, 1911, 260, 1510, 2126, 269, 623, 12149, 4577, 20575, 568, 513, 3983, 3968, 543, 568, 2808, 14603, 952, 2126, 568, 711, 3323, 1369, 476, 2190, 3108, 563, 2568, 268, 1911, 260, 30474, 3983, 12918, 952, 711, 5701, 269, 476, 2568, 268, 1911, 260, 9019, 4080, 269, 4634, 609, 2126, 9019, 568, 827, 476, 1428, 10065, 0, 12041, 4433, 2567, 918, 739, 6390, 808, 292, 267, 16217, 330, 1662, 744, 267, 3683, 3128, 339, 26146, 267, 5682, 590, 297, 267, 6154, 9807, 717, 2676, 20082, 9523, 713, 2985, 454, 20082, 589, 1713, 6712, 540, 3282, 689, 519, 2487, 12213, 4248, 21222, 517, 630, 291, 295, 264, 3282, 21383, 538, 519, 13323, 540, 6792, 729, 16487, 547, 519, 32132, 267, 1141, 621, 949, 723, 4049, 8733, 543, 2804, 4539, 269, 634, 6859, 540, 713, 1353, 941, 630, 328, 264, 547, 2697, 543, 21656, 12880, 3282, 1673, 1122, 15665, 26908, 602, 949, 581, 1031, 607, 2203, 8652, 21666, 9714, 619, 610, 607, 15451, 10832, 540, 12526, 543, 630, 4512, 264, 547, 21656, 519, 538, 2198, 3210, 540, 6805, 9190, 2950, 547, 3282, 12526, 538, 11824, 8134, 269, 901, 1353, 729, 5342, 693, 18513, 623, 839, 659, 7637, 16047, 267, 18919, 267, 1141, 3114, 2079, 7000, 649, 9312, 3282, 19386, 8652, 21666, 630, 290, 8975, 486, 547, 595, 8975, 482, 8975, 478, 264, 9830, 8151, 689, 476, 274, 269, 272, 547, 476, 275, 267, 4335, 8406, 4846, 22397, 375, 382, 373, 538, 11824, 521, 1343, 269, 589, 2698, 540, 476, 2190, 9190, 12490, 689, 476, 1691, 25281, 941, 9678, 689, 3282, 539, 11824, 521, 1343, 543, 9672, 607, 3282, 1673, 1122, 15665, 14471, 269, 1772, 565, 730, 9190, 12490, 941, 5097, 717, 2459, 777, 4710, 27627, 267, 1519, 13222, 540, 25281, 609, 1634, 3282, 9714, 619, 630, 2704, 4754, 643, 528, 1314, 267, 3057, 514, 14385, 267, 28342, 14137, 553, 267, 543, 3600, 6839, 14385, 1040, 25627, 8021, 6383, 689, 3282, 539, 521, 1343, 7000, 18105, 8040, 602, 4951, 1164, 5311, 3961, 630, 1575, 547, 476, 4200, 315, 8472, 547, 678, 11748, 5444, 9696, 689, 519, 3282, 1673, 1122, 15665, 9190, 25904, 269, 634, 11606, 540, 9190, 9399, 308, 678, 11748, 5444, 9696, 729, 3980, 376, 1015, 24670, 2362, 538, 3282, 539, 630, 271, 269, 4510, 6398, 476, 1015, 22397, 371, 547, 476, 1015, 269, 273, 6398, 476, 1015, 22397, 371, 12215, 575, 22397, 375, 382, 373, 264, 8957, 2973, 630, 271, 269, 271, 2190, 6398, 476, 1015, 22397, 371, 547, 476, 272, 269, 275, 6398, 476, 1015, 22397, 371, 12215, 575, 22397, 375, 382, 373, 264, 5070, 269, 7991, 2079, 7000, 513, 3982, 3210, 547, 3282, 12526, 267, 543, 9399, 308, 678, 11748, 5444, 11606, 6508, 689, 519, 12593, 1325, 4754, 643, 528, 1314, 4951, 519, 4102, 2333, 538, 3448, 11606, 538, 13572, 5439, 269, 1284, 9959, 602, 3282, 12526, 689, 519, 667, 295, 21383, 1185, 513, 7096, 1764, 593, 519, 11606, 543, 2146, 5888, 540, 6805, 4551, 538, 13323, 11824, 521, 1343, 267, 543, 938, 2963, 2798, 547, 2818, 540, 519, 717, 2459, 777, 4710, 27627, 630, 2704, 4754, 643, 528, 1314, 267, 3057, 514, 14385, 264, 543, 1325, 874, 777, 4710, 27627, 630, 305, 327, 617, 14385, 19687, 264, 607, 1883, 5716, 538, 3282, 12159, 972, 563, 1607, 2376, 729, 3370, 538, 10331, 30287, 19287, 2723, 454, 663, 26518, 538, 4750, 540, 4437, 648, 9712, 566, 1299, 21954, 18341, 566, 0, 3519, 576, 4705, 267, 1133, 984, 339, 28424, 2423, 31588, 1229, 661, 9680, 21733, 9974, 281, 524, 7417, 26364, 1749, 585, 3690, 8001, 661, 9680, 454, 7417, 294, 3322, 519, 10916, 267, 2079, 267, 543, 7664, 540, 28696, 6592, 593, 519, 1480, 21435, 799, 22132, 689, 2634, 12457, 2339, 269, 661, 9680, 568, 835, 540, 519, 1034, 2442, 2409, 540, 4974, 543, 1620, 519, 3157, 602, 896, 12340, 2623, 269, 901, 568, 865, 267, 1317, 661, 9680, 568, 5266, 10464, 267, 2653, 547, 5957, 267, 1769, 2597, 543, 814, 1164, 13796, 6571, 269, 769, 2474, 540, 2623, 267, 713, 13315, 3527, 267, 971, 607, 5322, 602, 616, 5340, 538, 3210, 547, 519, 1604, 269, 1717, 267, 972, 616, 27696, 7965, 799, 666, 2049, 950, 10916, 661, 9680, 1282, 3350, 971, 607, 3350, 13742, 269, 4935, 267, 1034, 2090, 827, 519, 1480, 2634, 723, 8947, 1437, 725, 1282, 11979, 2175, 269, 901, 2376, 8942, 547, 29289, 543, 4766, 4143, 27696, 3435, 602, 7153, 538, 1931, 547, 2268, 1560, 543, 2634, 6384, 1282, 5163, 269, 1452, 11673, 3382, 10372, 593, 875, 547, 2057, 543, 2569, 5163, 13742, 267, 8800, 267, 3301, 543, 2553, 585, 15222, 3585, 10916, 661, 9680, 267, 15444, 294, 267, 10252, 14670, 923, 267, 737, 27282, 267, 543, 3750, 5322, 1282, 5163, 269, 3958, 267, 649, 1459, 1585, 10916, 1949, 267, 661, 9680, 22809, 267, 11503, 543, 2409, 585, 1999, 3215, 1483, 11305, 2396, 19650, 7158, 269, 769, 519, 1439, 649, 786, 9959, 602, 621, 568, 2009, 547, 2594, 543, 5659, 15222, 1242, 2634, 543, 1560, 6384, 1644, 547, 3350, 610, 3635, 4247, 269, 0, 15477, 297, 4488, 20937, 1677, 3313, 519, 2078, 540, 1018, 814, 1044, 1572, 840, 4211, 565, 3518, 1014, 6196, 2622, 27131, 12263, 630, 6938, 264, 547, 519, 17241, 4857, 538, 840, 4211, 565, 3518, 1014, 3345, 3013, 269, 631, 24518, 7495, 306, 2353, 3370, 6811, 540, 840, 4211, 565, 3518, 1014, 6196, 2622, 17241, 941, 12649, 1996, 519, 3964, 3345, 1977, 3044, 585, 922, 6284, 538, 18840, 11043, 4609, 269, 8409, 4162, 3769, 4874, 691, 7781, 27101, 8589, 2144, 657, 687, 1496, 514, 519, 9000, 540, 1016, 577, 1180, 1537, 2144, 657, 687, 267, 15672, 4745, 12760, 267, 610, 30212, 20258, 9525, 630, 290, 272, 268, 273, 4849, 539, 264, 3910, 855, 8506, 519, 4527, 540, 829, 3796, 1308, 11560, 13449, 807, 593, 10237, 4919, 6514, 269, 570, 1449, 543, 17384, 781, 3169, 1449, 941, 1031, 547, 2708, 519, 4644, 540, 519, 6708, 540, 4745, 3892, 543, 519, 4527, 540, 1016, 577, 1180, 1537, 2144, 657, 687, 267, 15672, 4745, 12760, 267, 543, 30212, 2068, 538, 519, 6196, 2622, 2665, 602, 930, 723, 10645, 2099, 17241, 269, 19419, 8085, 4811, 6196, 2622, 5359, 540, 16957, 17241, 1419, 4766, 9678, 7633, 610, 9678, 834, 22772, 338, 257, 1510, 16917, 328, 11043, 7156, 269, 4427, 577, 1180, 1537, 2144, 657, 687, 941, 1459, 538, 476, 4817, 10065, 634, 476, 273, 2665, 1510, 1016, 577, 1180, 1537, 2144, 657, 687, 1185, 15672, 4745, 12760, 543, 30212, 4745, 2068, 269, 3131, 8327, 531, 4745, 12760, 543, 30212, 4745, 9525, 941, 1459, 538, 3592, 782, 2665, 269, 3131, 3796, 1308, 26379, 729, 2965, 3833, 7986, 267, 607, 729, 824, 2963, 540, 19535, 1007, 5642, 5250, 267, 855, 711, 829, 3796, 1308, 11560, 13449, 807, 269, 12164, 12710, 4785, 12778, 1306, 519, 840, 4211, 565, 3518, 1014, 6196, 2622, 2144, 657, 633, 12263, 568, 5693, 513, 1114, 7613, 689, 1018, 814, 1044, 13006, 538, 519, 1715, 2622, 267, 519, 3390, 5526, 547, 9305, 547, 7355, 585, 20803, 17241, 269, 1703, 5693, 616, 476, 273, 3982, 2516, 602, 930, 19665, 896, 519, 3376, 7333, 1676, 540, 17241, 269, 1306, 519, 6196, 2622, 3099, 568, 967, 626, 3907, 27720, 689, 838, 1180, 2643, 23537, 6605, 4331, 267, 621, 568, 6700, 602, 519, 6196, 2622, 2665, 1058, 581, 973, 1538, 528, 1242, 609, 838, 1180, 2643, 23537, 6605, 4331, 543, 602, 1152, 519, 3099, 4080, 538, 18840, 11043, 4609, 538, 3345, 3013, 581, 9286, 607, 17241, 269, 0, 1607, 3561, 729, 2813, 547, 581, 2111, 547, 2445, 1239, 267, 3950, 3356, 267, 543, 1294, 2875, 2208, 998, 519, 7335, 21222, 976, 1982, 269, 1703, 568, 835, 22369, 585, 1142, 540, 519, 476, 277, 30667, 269, 3962, 22369, 814, 476, 2764, 5624, 585, 2875, 4408, 269, 21661, 519, 1283, 540, 519, 22369, 616, 519, 2542, 5578, 267, 3992, 1297, 267, 543, 1448, 1871, 269, 634, 3039, 9587, 616, 585, 519, 840, 23150, 630, 845, 894, 264, 6060, 269, 634, 2699, 6241, 568, 585, 519, 2022, 23150, 630, 8999, 332, 894, 264, 6060, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1358, 17663, 513, 3621, 1589, 518, 1634, 607, 6477, 4445, 543, 513, 5289, 7911, 1634, 607, 17363, 269, 2353, 519, 824, 8695, 1376, 2348, 12194, 827, 606, 16957, 28458, 538, 519, 26570, 269, 1452, 12194, 616, 31903, 676, 519, 13941, 540, 513, 4666, 812, 609, 513, 1612, 778, 1393, 593, 1283, 540, 519, 7823, 269, 634, 8695, 1376, 547, 2070, 13544, 607, 513, 5260, 1640, 543, 6205, 269, 11524, 4250, 1864, 269, 2290, 1554, 1247, 17363, 729, 538, 1010, 15720, 1747, 267, 646, 4718, 513, 30889, 2212, 15841, 2390, 513, 7196, 543, 3459, 547, 1995, 1642, 16272, 602, 519, 2212, 568, 6158, 547, 1864, 269, 16270, 2469, 909, 519, 7823, 547, 8495, 267, 646, 30877, 519, 5168, 602, 621, 568, 1152, 513, 4666, 812, 2269, 5529, 593, 513, 1612, 778, 1393, 269, 1261, 1287, 678, 16640, 547, 519, 11824, 547, 1217, 519, 1866, 269, 1717, 267, 2390, 21945, 693, 519, 11824, 267, 646, 9060, 602, 789, 723, 1831, 2698, 5260, 1137, 10283, 538, 3232, 17174, 12738, 543, 4744, 1211, 25711, 2818, 563, 306, 3019, 26063, 267, 519, 4254, 267, 3366, 676, 13544, 9428, 538, 2450, 543, 16461, 1080, 1169, 824, 6532, 7911, 17990, 585, 28522, 4445, 267, 25453, 267, 18238, 267, 6341, 267, 543, 930, 824, 700, 8636, 331, 12584, 269, 1879, 25453, 13290, 547, 1205, 873, 1394, 267, 789, 4323, 1010, 2319, 543, 1439, 909, 11318, 28522, 4445, 543, 3614, 1005, 25453, 269, 634, 1739, 1554, 267, 519, 14316, 669, 1162, 25453, 538, 513, 19915, 547, 6146, 1864, 267, 855, 646, 7475, 909, 1373, 10710, 676, 513, 3703, 17199, 945, 8452, 693, 519, 11824, 1310, 7487, 519, 8673, 5365, 269, 7083, 540, 519, 4469, 625, 281, 16684, 12834, 11261, 15545, 589, 6093, 20484, 1228, 2443, 513, 9135, 540, 5708, 6273, 676, 12253, 4347, 4141, 1412, 338, 20484, 12724, 4141, 2443, 543, 835, 540, 519, 1034, 2442, 540, 922, 1826, 267, 519, 1433, 1101, 4682, 593, 9042, 538, 3735, 543, 814, 2760, 1044, 856, 540, 1820, 269, 7324, 519, 3209, 781, 2101, 4798, 616, 519, 3540, 2358, 1198, 540, 8567, 267, 476, 866, 628, 10601, 22030, 538, 519, 3162, 7414, 267, 543, 519, 2956, 540, 15796, 543, 5718, 563, 2005, 729, 519, 6667, 585, 5261, 7108, 532, 1412, 338, 29711, 1014, 3209, 7083, 540, 519, 4469, 625, 2073, 799, 30141, 519, 13919, 540, 634, 4856, 531, 6816, 6902, 538, 11831, 656, 344, 928, 781, 1650, 519, 1453, 7237, 9409, 267, 855, 538, 7083, 540, 519, 4469, 625, 9409, 568, 1369, 873, 269, 769, 519, 2038, 476, 736, 628, 2540, 267, 519, 3209, 729, 2808, 513, 5929, 585, 3119, 1153, 1453, 538, 519, 5177, 267, 543, 538, 519, 2136, 2276, 621, 729, 513, 20013, 540, 1164, 17469, 6700, 2542, 8638, 269, 7073, 13915, 2015, 519, 1433, 781, 23381, 547, 581, 18584, 543, 11440, 626, 267, 855, 4352, 1447, 2442, 2221, 267, 634, 4856, 531, 6816, 729, 9862, 883, 513, 2185, 12268, 1453, 781, 8613, 12416, 13739, 676, 8668, 309, 538, 18004, 538, 25470, 538, 2073, 543, 6659, 972, 267, 11831, 656, 344, 928, 729, 519, 27630, 540, 4557, 1453, 543, 519, 21836, 5067, 563, 307, 583, 1819, 676, 1010, 3993, 543, 19946, 267, 1010, 1152, 6101, 2069, 729, 513, 5618, 1974, 693, 25470, 9142, 538, 2443, 2311, 519, 2085, 540, 476, 1626, 646, 24964, 547, 4516, 267, 1141, 646, 6170, 2947, 1296, 2324, 585, 519, 23747, 781, 7345, 7577, 2073, 9467, 609, 519, 3689, 8315, 585, 535, 2720, 269, 11831, 656, 344, 928, 2760, 10272, 519, 14147, 10195, 540, 519, 3162, 7414, 267, 13461, 3079, 593, 519, 6589, 540, 1866, 602, 941, 1287, 4098, 547, 10836, 538, 6628, 267, 799, 646, 27105, 585, 26974, 3740, 1198, 676, 1519, 834, 680, 4868, 540, 575, 648, 543, 5208, 5921, 547, 5707, 650, 622, 1010, 11174, 3988, 1222, 2668, 4340, 547, 11831, 656, 344, 928, 1979, 19212, 18238, 2372, 599, 548, 646, 22666, 14916, 689, 606, 3209, 676, 519, 1977, 2278, 6276, 674, 269, 14332, 2006, 2073, 634, 6816, 5851, 269, 4014, 519, 1101, 7160, 568, 18584, 621, 729, 593, 9042, 538, 2835, 10914, 689, 2038, 5412, 6902, 6580, 2835, 4464, 729, 513, 1455, 2259, 693, 519, 942, 267, 2523, 1282, 519, 8285, 1974, 267, 476, 547, 834, 26078, 2925, 741, 1007, 1145, 257, 883, 519, 1007, 1032, 563, 763, 1101, 7160, 540, 634, 4856, 531, 6816, 729, 3370, 676, 570, 269, 1261, 5206, 15280, 569, 547, 715, 1564, 976, 538, 827, 519, 5299, 23412, 789, 4371, 593, 1010, 2835, 1247, 646, 1185, 12236, 4986, 281, 834, 1721, 13977, 32732, 1296, 1496, 9767, 723, 316, 556, 9464, 519, 2898, 12434, 2668, 634, 4856, 531, 6816, 2443, 1869, 2808, 513, 5929, 2443, 729, 1065, 21242, 676, 31919, 7734, 538, 2073, 538, 741, 15019, 4147, 923, 3126, 269, 15618, 1282, 519, 834, 14140, 11344, 2085, 540, 1453, 781, 5708, 2580, 476, 634, 4856, 531, 6816, 3459, 513, 7678, 538, 8695, 262, 5708, 676, 1210, 8695, 607, 519, 1292, 3197, 267, 513, 3926, 1631, 28125, 538, 519, 9135, 269, 4340, 547, 5339, 10404, 7671, 918, 1069, 1712, 2073, 634, 4856, 531, 6816, 834, 322, 746, 581, 1031, 607, 513, 3561, 538, 519, 1686, 540, 2093, 8487, 2690, 3236, 267, 3370, 513, 1032, 1354, 18882, 540, 15661, 4171, 2093, 941, 2907, 1373, 6933, 730, 543, 5941, 4922, 2073, 8176, 16817, 1412, 338, 634, 12856, 543, 17392, 540, 4856, 531, 24035, 338, 729, 835, 540, 519, 1655, 8153, 4207, 6589, 540, 519, 2208, 540, 14147, 269, 634, 1650, 568, 2854, 607, 513, 1101, 1268, 2239, 689, 519, 5133, 540, 1032, 6040, 25453, 681, 1478, 267, 835, 540, 1614, 8695, 6928, 342, 516, 22486, 593, 519, 14147, 11818, 540, 513, 1804, 855, 796, 514, 4725, 1243, 2717, 2106, 14198, 6532, 563, 305, 19563, 6645, 519, 1650, 24794, 1051, 1947, 267, 3168, 1394, 593, 1010, 7911, 3125, 7045, 281, 834, 296, 729, 513, 7911, 950, 594, 4682, 998, 519, 8748, 9035, 23954, 1305, 1524, 269, 2060, 519, 3965, 540, 1250, 7911, 880, 4606, 2178, 2390, 803, 267, 594, 1459, 1250, 1433, 2523, 547, 8695, 267, 538, 519, 7118, 652, 4126, 602, 789, 949, 17589, 3407, 1344, 267, 1454, 12257, 267, 1390, 7443, 267, 543, 30898, 15903, 31768, 689, 922, 3817, 269, 634, 2272, 6238, 1490, 7416, 569, 282, 1152, 2185, 3817, 616, 13991, 547, 25453, 781, 2038, 1272, 543, 513, 2417, 27552, 547, 1010, 22116, 547, 519, 7414, 7909, 593, 4604, 519, 1488, 992, 269, 1261, 543, 1010, 1079, 15274, 2443, 1032, 6040, 10793, 9410, 543, 1032, 6040, 8834, 7219, 22985, 2443, 616, 519, 6852, 15000, 540, 519, 6928, 342, 516, 1188, 269, 634, 2239, 568, 538, 1079, 2694, 269, 634, 1101, 6257, 875, 519, 8695, 3049, 2933, 267, 1018, 789, 4235, 267, 519, 7802, 543, 12062, 789, 6752, 267, 543, 875, 789, 11883, 609, 2348, 547, 7048, 593, 741, 1378, 2200, 563, 763, 2034, 3368, 540, 519, 3209, 568, 811, 2962, 1790, 17977, 267, 10023, 7526, 609, 31503, 267, 8165, 1063, 519, 5065, 2717, 29498, 2103, 267, 543, 519, 7503, 3646, 540, 4168, 28773, 269, 22500, 267, 3165, 543, 3552, 14918, 1683, 726, 550, 3814, 1426, 267, 543, 693, 1101, 519, 8695, 262, 1272, 593, 519, 6532, 568, 7329, 22690, 545, 269, 1358, 1628, 513, 12062, 543, 4020, 513, 1507, 10935, 1210, 741, 1152, 22590, 281, 513, 7745, 16263, 267, 606, 4401, 27995, 522, 541, 267, 543, 513, 1507, 4949, 324, 269, 4256, 1101, 3346, 609, 824, 3425, 2501, 1310, 1896, 3275, 950, 789, 7747, 1079, 1804, 856, 3419, 3455, 666, 3996, 538, 519, 3845, 267, 835, 22002, 676, 519, 824, 563, 763, 1079, 2516, 540, 2717, 29498, 2103, 771, 10603, 1046, 593, 519, 11824, 543, 4497, 538, 6370, 282, 519, 4619, 832, 1491, 19939, 14586, 543, 6146, 543, 3548, 835, 5612, 269, 1809, 950, 789, 21279, 547, 6146, 835, 540, 519, 1614, 2021, 9676, 267, 2059, 609, 1079, 1453, 267, 519, 8695, 26544, 547, 14710, 519, 5083, 340, 619, 267, 15980, 873, 519, 14696, 540, 519, 8783, 267, 20579, 16619, 269, 634, 1985, 6640, 789, 2061, 1776, 957, 540, 28994, 756, 16117, 269, 634, 25165, 4734, 267, 543, 519, 8695, 616, 4805, 2899, 811, 269, 2859, 7938, 4372, 8436, 1287, 12446, 538, 519, 3337, 540, 3703, 31503, 2073, 945, 1118, 513, 2713, 676, 9467, 610, 27560, 5070, 531, 6229, 269, 634, 1614, 8695, 12404, 538, 513, 13946, 267, 855, 25453, 568, 9676, 950, 646, 26136, 856, 547, 1294, 952, 519, 11371, 644, 619, 723, 2451, 543, 568, 3144, 593, 4604, 519, 19266, 622, 11634, 3019, 518, 563, 3891, 16716, 909, 513, 11505, 609, 835, 540, 519, 12284, 267, 10552, 344, 9291, 267, 543, 950, 519, 6928, 7125, 693, 519, 6532, 540, 2506, 334, 547, 4123, 585, 811, 3574, 25453, 2833, 1082, 18125, 540, 519, 6532, 781, 2528, 281, 519, 2442, 7328, 540, 17774, 532, 2073, 519, 27531, 540, 9002, 547, 552, 601, 10971, 2073, 22149, 267, 543, 28994, 756, 16117, 269, 29547, 13253, 1267, 538, 519, 11317, 22215, 519, 31503, 267, 6028, 1152, 25453, 543, 10552, 344, 9291, 9800, 269, 634, 6292, 8011, 538, 1818, 741, 9101, 538, 519, 11634, 3019, 518, 267, 855, 9291, 568, 6180, 958, 20754, 269, 1261, 2306, 513, 2669, 1532, 539, 1065, 550, 766, 585, 1010, 9409, 1272, 267, 6028, 25453, 547, 13743, 1394, 547, 519, 4856, 531, 6816, 4805, 267, 1141, 646, 568, 22653, 1243, 609, 1010, 2828, 563, 763, 1614, 8695, 13743, 547, 519, 6532, 540, 631, 24546, 267, 1141, 513, 29966, 814, 10736, 930, 540, 519, 2551, 547, 8567, 269, 1703, 789, 2899, 1586, 2743, 20579, 16619, 267, 4171, 8250, 2997, 622, 320, 16858, 547, 1831, 513, 4168, 1996, 1200, 4651, 781, 16858, 269, 634, 8695, 3801, 547, 1491, 2997, 622, 320, 538, 513, 1507, 10935, 547, 513, 7404, 6532, 519, 8783, 540, 799, 814, 1044, 10736, 267, 855, 679, 8905, 789, 616, 16765, 2586, 676, 835, 540, 20579, 16619, 781, 2112, 666, 3996, 543, 3144, 26956, 269, 1358, 616, 5950, 513, 3923, 2663, 1310, 519, 12625, 540, 1776, 29966, 267, 543, 20579, 16619, 781, 7503, 547, 8567, 563, 763, 834, 7301, 10971, 834, 476, 540, 631, 24546, 616, 931, 11220, 547, 519, 26428, 267, 543, 519, 8695, 1305, 13743, 585, 1753, 267, 4587, 543, 5923, 518, 269, 2353, 11831, 656, 344, 928, 781, 9089, 616, 267, 538, 1010, 1378, 1913, 267, 834, 611, 1203, 675, 2984, 585, 1762, 11570, 2580, 543, 634, 4856, 531, 6816, 568, 1100, 9868, 269, 634, 4856, 531, 6816, 2073, 585, 782, 922, 7045, 267, 568, 7494, 13026, 609, 519, 17779, 540, 6469, 5708, 519, 6389, 540, 519, 1483, 626, 3209, 6902, 11831, 656, 344, 928, 1821, 4925, 827, 513, 3791, 540, 519, 1433, 547, 11673, 540, 519, 8695, 262, 2713, 12417, 269, 898, 568, 711, 5921, 585, 1864, 269, 667, 7469, 928, 918, 583, 10045, 814, 4767, 602, 834, 1492, 16190, 3350, 540, 519, 1650, 689, 9381, 4789, 547, 16678, 7414, 6532, 568, 2147, 547, 519, 16190, 3350, 689, 519, 1483, 1158, 547, 519, 9735, 538, 1453, 781, 14810, 8487, 2414, 513, 2413, 5467, 11831, 656, 344, 928, 781, 2835, 666, 3100, 22350, 7255, 609, 6589, 540, 18508, 543, 21426, 267, 476, 606, 834, 996, 333, 4919, 17953, 257, 5497, 547, 2303, 602, 741, 5468, 616, 1483, 4025, 5356, 9035, 547, 1346, 945, 666, 3914, 873, 269, 634, 2101, 4798, 540, 519, 3209, 31721, 1472, 519, 3310, 540, 8567, 267, 519, 2956, 540, 1514, 25327, 267, 543, 519, 7915, 27166, 540, 3540, 2213, 17417, 936, 519, 3162, 7256, 6532, 619, 282, 6742, 710, 667, 583, 515, 559, 267, 7548, 540, 2296, 267, 15109, 519, 3209, 834, 320, 1883, 1257, 11837, 856, 7810, 1894, 538, 519, 16972, 1974, 8487, 296, 4718, 602, 891, 11375, 3861, 28749, 941, 2965, 22745, 741, 666, 4141, 936, 519, 2713, 4703, 540, 741, 9601, 269, 5445, 14299, 1055, 922, 8861, 338, 700, 5819, 1399, 1677, 2696, 4828, 543, 2709, 621, 547, 519, 18140, 12834, 2986, 7083, 2986, 634, 4469, 625, 607, 513, 15093, 269, 5261, 7108, 532, 269, 1325, 5586, 5566, 18140, 12834, 2986, 7083, 2986, 634, 4469, 625, 269, 0, 414, 504, 350, 14424, 1656, 25037, 634, 7910, 1014, 1656, 6936, 717, 761, 1014, 454, 763, 1114, 3506, 540, 2804, 2219, 1336, 1851, 7083, 4258, 3122, 7615, 14594, 1677, 3571, 12312, 5811, 543, 5391, 5644, 616, 5702, 1644, 547, 3013, 781, 4550, 1922, 3985, 626, 543, 5313, 626, 1686, 5976, 11122, 2510, 14424, 1656, 25037, 634, 7910, 1014, 1656, 6936, 717, 761, 1014, 2370, 715, 14566, 19270, 15664 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 689, 13680, 543, 3531, 4577, 547, 6101, 543, 15982, 267, 855, 789, 782, 2671, 930, 1106, 540, 22524, 11163, 269, 769, 2489, 267, 513, 2078, 568, 6353, 676, 513, 20102, 6225, 5385, 540, 3929, 267, 2168, 267, 543, 5924, 1570, 5370, 610, 2533, 563, 5278, 540, 519, 1034, 1455, 3123, 540, 2078, 2042, 616, 1759, 593, 2792, 269, 12983, 666, 8451, 950, 513, 7008, 779, 2792, 6163, 610, 7375, 8428, 689, 835, 1776, 267, 4611, 538, 21390, 543, 31495, 13133, 725, 269, 4033, 2053, 267, 2792, 2591, 949, 581, 3361, 676, 513, 3668, 540, 942, 547, 6108, 1927, 610, 824, 12721, 13800, 543, 4690, 269, 1280, 1383, 267, 513, 1713, 824, 1522, 1745, 13581, 539, 952, 789, 616, 4280, 547, 3442, 1063, 2469, 547, 741, 2828, 685, 5428, 543, 7836, 519, 15964, 609, 873, 563, 1103, 1840, 547, 9591, 2635, 2792, 1983, 267, 15185, 1058, 960, 547, 3666, 741, 960, 543, 2123, 2729, 269, 898, 568, 5363, 547, 1265, 12348, 602, 1312, 1004, 2972, 267, 865, 789, 666, 6108, 2298, 942, 1927, 1510, 4743, 16397, 676, 824, 9021, 543, 19647, 269, 769, 1840, 267, 621, 568, 513, 1434, 2856, 547, 2226, 17052, 3544, 540, 519, 2078, 267, 865, 1142, 1268, 814, 513, 2178, 1489, 1062, 789, 666, 2490, 547, 538, 2053, 540, 991, 563, 27094, 543, 561, 755, 616, 3532, 4664, 602, 666, 2014, 1004, 547, 2322, 519, 2115, 540, 741, 7649, 1354, 741, 1378, 267, 799, 666, 1291, 547, 14432, 3347, 269, 4658, 538, 891, 2010, 540, 3347, 1419, 10714, 741, 1378, 4690, 543, 1831, 26416, 995, 540, 741, 4891, 585, 1818, 873, 1745, 899, 519, 1152, 10862, 538, 741, 2729, 269, 769, 930, 2665, 267, 891, 2010, 540, 3347, 666, 1256, 1439, 538, 16028, 563, 4407, 621, 568, 2067, 547, 7287, 519, 2648, 543, 31070, 602, 2097, 609, 513, 2078, 267, 621, 568, 1271, 585, 1312, 4891, 547, 3314, 602, 513, 2635, 2078, 3340, 3160, 5666, 540, 4758, 543, 2921, 269, 769, 1840, 547, 4180, 602, 1142, 1268, 568, 3478, 741, 2115, 1558, 267, 621, 568, 849, 1898, 547, 3715, 543, 2226, 6302, 267, 543, 547, 6023, 4606, 540, 22584, 543, 30983, 538, 513, 2635, 1259, 269, 769, 1840, 267, 621, 568, 1271, 585, 1312, 4891, 547, 2463, 1142, 824, 779, 4805, 942, 543, 519, 2250, 3347, 540, 1142, 824, 269, 1635, 3257, 865, 267, 1142, 1268, 666, 1745, 8746, 602, 789, 616, 538, 513, 2635, 2078, 269, 0, 8368, 540, 9115, 454, 1432, 1772, 606, 8177, 20306, 677, 19336, 543, 1215, 6496, 898, 4518, 888, 2304, 8177, 20306, 677, 19336, 267, 849, 1634, 607, 513, 589, 3922, 1436, 5119, 666, 581, 1031, 547, 948, 4225, 4247, 1862, 6258, 2859, 24222, 9796, 4752, 19336, 267, 610, 10025, 5288, 269, 29203, 19336, 267, 568, 513, 3308, 1907, 1031, 538, 1788, 2359, 267, 3375, 6194, 267, 543, 1703, 616, 1082, 2081, 547, 10891, 707, 10709, 3670, 29178, 605, 806, 572, 1862, 6454, 547, 6218, 543, 4225, 4247, 267, 3785, 267, 610, 2093, 1759, 593, 741, 1761, 1764, 543, 519, 10803, 1377, 589, 7194, 1377, 568, 519, 1871, 540, 3403, 538, 1862, 6258, 2859, 1862, 540, 4674, 2838, 547, 2936, 873, 269, 901, 5119, 2337, 2043, 610, 6887, 1118, 5483, 3664, 676, 18928, 11008, 1944, 3688, 883, 1114, 9076, 1218, 563, 288, 1907, 4749, 6964, 676, 1788, 9946, 568, 519, 8177, 20306, 677, 19336, 267, 799, 11226, 538, 10442, 519, 17191, 1764, 543, 519, 4674, 2877, 585, 1367, 1788, 4247, 269, 1635, 11617, 12180, 1788, 4247, 538, 713, 6073, 267, 1788, 9946, 2744, 513, 20501, 1620, 540, 799, 4247, 616, 26405, 547, 1118, 519, 1034, 1713, 1764, 543, 799, 3283, 786, 3747, 519, 6574, 2179, 540, 4674, 563, 2080, 779, 875, 606, 8177, 20306, 677, 19336, 1568, 912, 268, 10576, 519, 27294, 281, 3689, 267, 596, 991, 547, 2697, 519, 3688, 596, 1616, 547, 4225, 269, 1452, 3688, 1223, 581, 3785, 267, 4247, 267, 2093, 267, 610, 1022, 824, 2609, 602, 2154, 6268, 563, 268, 16294, 7600, 4997, 281, 1411, 3580, 991, 547, 3715, 1079, 7355, 547, 6218, 1142, 6221, 281, 8177, 543, 20306, 677, 563, 268, 8177, 281, 901, 5484, 577, 5658, 532, 901, 568, 513, 1505, 547, 1265, 519, 1655, 7900, 861, 1862, 6258, 2859, 1862, 2708, 525, 519, 1761, 2640, 610, 2318, 4093, 2404, 609, 7598, 519, 6221, 269, 8177, 666, 581, 6027, 538, 1585, 2081, 267, 971, 607, 2883, 12374, 267, 6075, 9547, 267, 942, 9806, 267, 610, 1022, 824, 4143, 14573, 269, 25849, 513, 6060, 610, 12773, 547, 1142, 6221, 779, 1761, 1764, 563, 268, 20306, 677, 281, 901, 21205, 27786, 519, 2200, 267, 942, 267, 543, 6988, 2838, 547, 2936, 519, 6221, 269, 20306, 677, 666, 581, 6027, 538, 2474, 540, 812, 3620, 2293, 267, 1942, 267, 2930, 6988, 267, 610, 1022, 824, 4143, 2188, 269, 25849, 513, 6060, 610, 12773, 547, 1142, 6221, 779, 4674, 1377, 563, 268, 8073, 519, 19336, 281, 8571, 513, 1079, 8820, 7470, 609, 8177, 593, 835, 7852, 630, 17141, 519, 7299, 7852, 264, 543, 20306, 677, 593, 519, 824, 7852, 630, 17141, 519, 8880, 7852, 1040, 634, 17887, 616, 3335, 5258, 883, 1970, 267, 5420, 267, 543, 1164, 6688, 267, 2870, 513, 476, 274, 9943, 274, 7470, 563, 268, 9255, 27294, 593, 519, 19336, 281, 1280, 1142, 6221, 596, 4076, 4857, 267, 4729, 621, 593, 519, 5119, 1759, 593, 922, 8177, 543, 20306, 677, 8464, 269, 27294, 609, 1164, 8177, 543, 1970, 20306, 677, 1058, 581, 5116, 538, 519, 5580, 268, 3847, 9076, 656, 267, 10834, 1164, 10862, 269, 27294, 609, 1164, 8177, 855, 1164, 20306, 677, 1058, 581, 5116, 538, 519, 5580, 28878, 9076, 656, 267, 10834, 5420, 10862, 610, 6297, 7156, 269, 27294, 609, 1970, 8177, 543, 1970, 20306, 677, 1058, 581, 5116, 538, 519, 2539, 268, 3847, 9076, 656, 267, 10834, 1970, 10862, 269, 27294, 609, 1970, 8177, 855, 1164, 20306, 677, 1058, 581, 5116, 538, 519, 2539, 28878, 9076, 656, 267, 10834, 519, 9803, 10862, 610, 556, 4621, 573, 3130, 563, 268, 21302, 543, 32341, 281, 4495, 782, 3688, 616, 28367, 593, 519, 5119, 267, 5659, 519, 2164, 269, 10312, 593, 3688, 538, 519, 5580, 268, 3847, 9076, 656, 267, 607, 891, 616, 3335, 1164, 1790, 1874, 640, 4247, 610, 3785, 602, 2709, 8101, 2640, 609, 5266, 1970, 4674, 269, 6333, 707, 2139, 2200, 543, 7580, 3853, 950, 14045, 799, 3688, 547, 10994, 1101, 563, 268, 6875, 11059, 281, 2422, 519, 5119, 779, 2164, 547, 3391, 707, 3375, 6194, 1184, 269, 26875, 1125, 543, 21138, 2200, 547, 519, 1164, 27780, 716, 267, 1970, 3887, 742, 677, 3688, 1101, 267, 543, 5402, 2015, 519, 3688, 538, 519, 5580, 28878, 9076, 656, 563, 268, 5623, 543, 22352, 281, 1306, 6381, 1689, 610, 1007, 3688, 10836, 267, 30603, 519, 8177, 20306, 677, 19336, 21237, 547, 9337, 707, 14422, 563, 3528, 1210, 606, 8177, 20306, 677, 19336, 267, 596, 666, 1118, 811, 5483, 3664, 267, 11126, 4199, 14305, 267, 543, 2327, 602, 707, 3646, 616, 5059, 593, 4247, 610, 3785, 602, 1683, 519, 6574, 1871, 563, 1432, 779, 519, 6396, 1108, 585, 10829, 4328, 8177, 8957, 20306, 677, 888, 763, 1184, 540, 8159, 1764, 3322, 9001, 513, 10230, 11973, 540, 707, 13283, 269, 1280, 3236, 267, 596, 1522, 2015, 519, 2333, 538, 6075, 9547, 8464, 267, 519, 5786, 538, 2504, 942, 267, 610, 519, 2208, 538, 1514, 2923, 6278, 269, 769, 4334, 267, 950, 3067, 4328, 4674, 267, 596, 4983, 519, 2698, 2883, 7979, 599, 610, 4020, 513, 4336, 8151, 689, 476, 272, 547, 476, 1015, 267, 28286, 1154, 2418, 547, 1142, 4305, 9935, 563, 1432, 616, 519, 476, 275, 21408, 1218, 888, 2080, 779, 513, 15059, 540, 1142, 9076, 656, 779, 9270, 912, 268, 8899, 4674, 270, 11947, 8177, 281, 901, 9076, 656, 4564, 519, 6653, 5544, 12544, 7706, 540, 1970, 4674, 543, 1164, 12587, 269, 898, 779, 519, 979, 3562, 1858, 585, 6887, 17935, 547, 24847, 3035, 8101, 1764, 563, 268, 4400, 4674, 270, 11947, 8177, 281, 10298, 13883, 538, 713, 9076, 656, 849, 9153, 1713, 12587, 267, 855, 789, 2097, 609, 3152, 6988, 543, 4674, 269, 14992, 1058, 3479, 547, 519, 818, 706, 748, 3460, 1152, 950, 789, 616, 4712, 585, 519, 1279, 688, 592, 563, 268, 8899, 4674, 13624, 578, 1764, 281, 2755, 891, 3435, 3747, 8766, 4674, 267, 789, 1058, 711, 581, 519, 1283, 10862, 269, 1358, 1058, 1152, 581, 2016, 3007, 2899, 811, 14785, 3681, 723, 1044, 8268, 563, 268, 4400, 4674, 13624, 578, 1764, 281, 7102, 2856, 267, 4640, 267, 3070, 267, 610, 1788, 3804, 23493, 538, 713, 7121, 12987, 513, 2629, 4901, 827, 2436, 519, 2319, 1058, 8399, 693, 782, 269, 8178, 519, 6286, 540, 711, 13197, 713, 960, 543, 2015, 13346, 14422, 4724, 811, 26374, 3435, 563, 763, 1377, 540, 4674, 1935, 28382, 4213, 543, 1788, 3401, 609, 513, 3551, 1505, 547, 3313, 519, 6099, 1576, 540, 2962, 538, 513, 3099, 540, 3871, 269, 898, 779, 513, 2656, 543, 3608, 1259, 547, 1305, 513, 1576, 1510, 11991, 17799, 563, 1432, 3657, 519, 11588, 540, 14146, 532, 606, 8177, 27582, 742, 677, 19336, 888, 25219, 559, 1944, 606, 1871, 4674, 5119, 3091, 3549, 513, 2312, 1505, 585, 26724, 2238, 269, 898, 6087, 873, 547, 3313, 1141, 547, 13404, 741, 3646, 543, 799, 4247, 666, 581, 1244, 1874, 527, 1242, 269, 9717, 602, 1169, 1870, 8188, 4199, 10148, 267, 713, 5119, 568, 513, 3407, 1907, 585, 7561, 782, 20814, 2200, 563, 11101, 267, 930, 4213, 2490, 547, 713, 5119, 950, 21947, 609, 2591, 1282, 5571, 3785, 269, 1879, 3785, 7237, 5741, 2480, 2100, 28869, 630, 27271, 1634, 607, 968, 7528, 790, 618, 28869, 1862, 6258, 2859, 1862, 543, 824, 2152, 267, 789, 666, 1821, 5573, 689, 741, 5497, 2619, 267, 6336, 1445, 267, 543, 3111, 547, 5447, 609, 936, 31186, 1870, 3853, 269, 634, 5119, 20674, 6887, 538, 8939, 3435, 547, 1483, 793, 543, 1201, 1371, 891, 3785, 563, 763, 5119, 849, 10597, 519, 7145, 540, 4058, 543, 8086, 269, 2755, 1034, 4213, 5431, 519, 2956, 540, 9488, 1788, 4058, 267, 711, 782, 946, 741, 942, 5688, 958, 269, 634, 5119, 6908, 6050, 519, 1184, 267, 5969, 998, 19240, 543, 13057, 6887, 547, 519, 4295, 2152, 543, 741, 1034, 5078, 3435, 563, 1692, 798, 596, 1589, 713, 1907, 1223, 4324, 707, 960, 610, 2872, 888, 18704, 707, 4555, 267, 2055, 267, 610, 1967, 2984, 538, 519, 8292, 2630, 269, 0, 13312, 8183, 2055, 2832, 547, 2708, 513, 11134, 781, 1983, 538, 2870, 1362, 12222, 267, 6189, 12222, 267, 20104, 12222, 267, 543, 5547, 12222, 269, 634, 10457, 666, 1711, 2241, 610, 1950, 12222, 607, 2838, 267, 543, 519, 981, 29794, 666, 2070, 873, 547, 6218, 563, 13312, 8183, 2055, 538, 27725, 518, 305, 1678, 18873, 946, 519, 2721, 269, 1470, 6516, 2719, 1907, 781, 7471, 5759, 547, 1489, 519, 8888, 540, 12222, 269, 15443, 573, 919, 666, 946, 519, 2653, 3562, 14025, 2721, 269, 1470, 1907, 781, 7207, 547, 1711, 1585, 12222, 971, 607, 772, 7876, 543, 9980, 640, 17716, 3533, 269, 901, 2376, 786, 3802, 596, 998, 519, 3268, 547, 2870, 513, 12810, 7726, 563, 8269, 518, 547, 519, 1739, 3584, 547, 1174, 875, 707, 10457, 946, 519, 2721, 269, 1470, 6516, 2719, 1907, 538, 27725, 518, 305, 1678, 4255, 547, 1374, 2095, 577, 11301, 543, 12222, 563, 3721, 338, 547, 8073, 12810, 7726, 454, 268, 8437, 593, 519, 7732, 9184, 593, 519, 1753, 2985, 543, 4945, 593, 519, 8073, 7726, 7735, 563, 268, 8437, 593, 519, 12810, 2243, 1826, 538, 519, 8564, 7726, 7392, 13972, 4216, 563, 268, 1703, 616, 1079, 3268, 538, 2870, 513, 12810, 7726, 563, 3721, 272, 281, 7726, 19672, 454, 268, 7726, 8745, 281, 634, 1966, 2012, 1058, 581, 2110, 543, 22521, 269, 898, 1058, 711, 2285, 1022, 23456, 547, 4194, 519, 1966, 563, 268, 9046, 13517, 281, 2755, 10503, 519, 1966, 3948, 267, 5225, 2327, 519, 2243, 568, 2312, 543, 2143, 269, 1411, 666, 849, 946, 7515, 267, 11708, 267, 610, 27589, 547, 3986, 9355, 563, 268, 7201, 519, 7726, 3601, 267, 596, 666, 1305, 519, 6060, 596, 1616, 585, 519, 2243, 563, 268, 1411, 666, 14574, 519, 2698, 6060, 596, 1616, 547, 28286, 547, 513, 1880, 2243, 1934, 269, 1403, 519, 2243, 814, 811, 982, 835, 2953, 2626, 267, 1142, 2953, 2626, 786, 1205, 606, 3160, 6824, 540, 519, 2698, 6060, 269, 901, 568, 513, 16601, 2361, 563, 2690, 606, 2653, 2243, 602, 666, 581, 12193, 538, 476, 1428, 3764, 454, 2690 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 563, 7712, 4365, 814, 971, 513, 2565, 1198, 593, 8022, 3747, 267, 10783, 636, 4941, 547, 11126, 741, 8664, 8022, 3060, 4238, 538, 25385, 5622, 1210, 513, 5409, 29985, 4365, 9472, 609, 519, 5207, 6111, 3079, 540, 2489, 4365, 1344, 563, 1692, 666, 649, 917, 875, 1454, 5982, 568, 538, 606, 1858, 286, 3657, 5982, 2157, 856, 540, 519, 8723, 286, 8409, 616, 519, 2055, 13673, 309, 2562, 4953, 2337, 3084, 543, 2199, 3106, 8128, 2626, 998, 741, 2825, 5464, 543, 6482, 3457, 563, 5591, 2339, 707, 2872, 267, 938, 2011, 2298, 543, 4365, 8596, 948, 596, 4194, 2504, 543, 3106, 2591, 269, 15681, 721, 827, 707, 1808, 1788, 610, 2115, 2443, 649, 2461, 1934, 547, 948, 269, 0, 273, 269, 12305, 17901, 1354, 543, 1310, 519, 15972, 865, 602, 519, 15972, 666, 581, 30465, 693, 1022, 942, 269, 634, 2095, 4287, 540, 519, 7873, 839, 622, 1058, 581, 5812, 609, 519, 15561, 1665, 593, 519, 10380, 540, 519, 9252, 15972, 563, 274, 269, 634, 9252, 15972, 1058, 581, 8704, 693, 519, 9803, 1448, 540, 519, 3937, 17752, 547, 11166, 519, 27772, 1216, 538, 942, 547, 2057, 18180, 10009, 269, 1403, 519, 15972, 568, 711, 8704, 538, 519, 9803, 2990, 593, 519, 1770, 267, 621, 1058, 581, 538, 519, 5207, 2990, 593, 519, 17752, 269, 5410, 513, 2132, 15972, 630, 1718, 839, 622, 1567, 518, 4745, 264, 693, 519, 1970, 1377, 267, 6318, 519, 7873, 839, 622, 1377, 543, 882, 1933, 519, 15972, 547, 2057, 9252, 8749, 563, 275, 269, 634, 17752, 10612, 540, 519, 15972, 1058, 711, 581, 27153, 538, 1216, 269, 20996, 20637, 1058, 581, 8704, 23276, 563, 276, 269, 3962, 3926, 1058, 581, 9280, 609, 513, 9252, 15972, 269, 1547, 763, 27687, 1738, 15972, 3340, 513, 23658, 944, 539, 10612, 609, 1100, 811, 982, 835, 11281, 540, 13471, 269, 634, 3337, 540, 519, 15972, 1058, 581, 607, 2673, 607, 2009, 547, 519, 3937, 563, 277, 269, 1879, 1210, 9252, 20637, 585, 14941, 15018, 630, 5976, 521, 13023, 517, 1826, 264, 3937, 267, 5225, 5815, 281, 3442, 547, 946, 9252, 20637, 609, 4550, 3613, 324, 600, 4187, 547, 2061, 519, 3937, 689, 10451, 9252, 25437, 269, 1703, 568, 7873, 839, 622, 6051, 1310, 519, 15972, 267, 543, 519, 15972, 17752, 10612, 1058, 2097, 689, 519, 6051, 32032, 269, 5440, 1569, 547, 519, 32032, 6971, 1394, 2604, 543, 11151, 1394, 6503, 563, 278, 269, 1403, 972, 568, 27772, 1216, 6051, 1310, 519, 15972, 267, 519, 12992, 609, 1114, 2604, 2157, 1058, 581, 9674, 269, 1234, 12860, 269, 2991, 519, 15972, 267, 519, 7873, 839, 622, 6051, 32032, 3112, 18214, 513, 9386, 267, 799, 786, 2333, 519, 1394, 540, 519, 15972, 269, 12305, 513, 2638, 11896, 547, 2061, 28198, 689, 15972, 7873, 839, 622, 10024, 519, 6051, 32032, 269, 12305, 9252, 20637, 593, 9252, 3515, 269, 634, 28643, 1058, 581, 1305, 2673, 547, 519, 28643, 269, 8006, 7873, 839, 622, 4015, 1134, 267, 1287, 946, 513, 1507, 8546, 547, 1291, 547, 519, 15972, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 272, 560, 540, 519, 13600, 5608, 543, 968, 1320, 320, 9061, 30030, 1848, 8409, 8964, 1500, 873, 22530, 1513, 543, 2322, 25350, 267, 11882, 267, 593, 519, 4786, 28559, 711, 519, 3003, 29268, 269, 968, 22437, 623, 11069, 892, 676, 9628, 779, 1684, 610, 12603, 3838, 930, 10486, 609, 24942, 774, 13903, 543, 3828, 16695, 267, 899, 741, 3728, 2095, 543, 29268, 6345, 2528, 267, 855, 519, 5152, 8593, 2110, 593, 6237, 3961, 269, 29533, 29268, 986, 13827, 971, 607, 15306, 715, 280, 928, 267, 20707, 289, 7806, 314, 26950, 272, 316, 2073, 14332, 26272, 267, 543, 1866, 267, 1336, 1967, 14350, 855, 1705, 711, 6095, 1676, 10923, 6284, 563, 763, 6560, 585, 29268, 3961, 4797, 2394, 519, 7574, 4367, 540, 1312, 715, 11481, 543, 918, 1415, 324, 4639, 269, 634, 9997, 995, 2504, 543, 29268, 22551, 268, 8083, 2429, 741, 2575, 12630, 513, 9206, 538, 519, 2528, 269, 2201, 2108, 27716, 9546, 802, 5608, 950, 918, 1415, 324, 3081, 267, 968, 2791, 917, 1018, 519, 29268, 568, 286, 8479, 543, 1964, 1652, 5608, 621, 326, 1511, 1648, 543, 11348, 547, 513, 3148, 602, 9247, 4682, 29462, 269, 11531, 267, 715, 11481, 543, 519, 853, 269, 700, 684, 18267, 685, 968, 300, 573, 8054, 4210, 532, 892, 6035, 2629, 11673, 540, 3838, 6237, 5905, 18429, 630, 7945, 607, 5929, 1286, 2528, 264, 1851, 519, 2829, 563, 30952, 519, 9628, 3220, 650, 3280, 5189, 5159, 899, 12751, 3223, 1030, 267, 700, 559, 20736, 330, 267, 717, 6953, 518, 2692, 267, 543, 1866, 269, 5502, 540, 519, 8912, 835, 693, 513, 942, 267, 24354, 779, 5159, 3459, 547, 10836, 538, 1804, 2516, 1765, 19136, 1530, 534, 267, 590, 3385, 17926, 267, 476, 5655, 667, 10212, 267, 20629, 667, 3326, 267, 20858, 576, 13005, 476, 276, 685, 280, 267, 808, 667, 8759, 630, 6020, 303, 1070, 10979, 18875, 26890, 3960, 334, 314, 26950, 273, 316, 2073, 19577, 630, 6020, 303, 1070, 1546, 329, 10753, 2378, 267, 543, 811, 269, 769, 942, 267, 2565, 17192, 814, 1044, 2016, 547, 15616, 6874, 1144, 779, 26554, 519, 681, 1952, 518, 267, 29016, 779, 654, 714, 10609, 531, 604, 320, 267, 543, 12049, 23135, 18582, 2125, 689, 27722, 267, 18518, 269, 2353, 3280, 27723, 1114, 855, 616, 19618, 538, 6041, 563, 275, 269, 634, 3162, 20944, 23985, 547, 17166, 454, 763, 476, 1960, 276, 11905, 22952, 568, 1102, 600, 3585, 630, 663, 1970, 4486, 7301, 569, 264, 1634, 585, 4259, 1055, 519, 5101, 11076, 270, 26156, 11076, 22850, 2112, 269, 12280, 18007, 19475, 16628, 3057, 542, 968, 306, 4007, 892, 26427, 779, 4633, 7933, 1170, 547, 14068, 15196, 16628, 1530, 534, 968, 303, 4428, 344, 892, 1290, 2125, 17275, 513, 5832, 540, 2621, 602, 18864, 693, 519, 942, 1223, 4076, 2062, 16308, 269, 1548, 5949, 896, 519, 16986, 729, 602, 4934, 330, 770, 4465, 519, 8366, 585, 7454, 1715, 14943, 6828, 267, 543, 513, 1762, 27055, 476, 4968, 271, 267, 17729, 29832, 745, 660, 1194, 267, 22283, 547, 519, 8020, 609, 513, 5048, 912, 3719, 621, 779, 899, 713, 267, 555, 334, 269, 594, 6557, 13110, 540, 11570, 1765, 3104, 1018, 594, 6557, 2161, 514, 685, 1765, 29442, 6806, 16490, 11570, 269, 5700, 1018, 594, 6557, 2161, 514, 685, 286, 898, 779, 899, 267, 649, 3893, 513, 1629, 334, 11746, 267, 855, 18864, 530, 13860, 5873, 621, 269, 1809, 621, 779, 899, 713, 281, 5990, 590, 5495, 8025, 717, 5588, 590, 6865, 24518, 5058, 9215, 14408, 312, 269, 2334, 779, 782, 594, 3893, 547, 2161, 2336, 274, 21178, 2931, 685, 4633, 729, 513, 1279, 936, 16746, 3210, 547, 519, 9880, 968, 763, 332, 1524, 1606, 1926, 562, 30995, 1794, 666, 1406, 22850, 17373, 602, 1185, 11478, 585, 1296, 269, 898, 729, 513, 12687, 5346, 1289, 267, 513, 28487, 532, 3956, 267, 543, 513, 3771, 321, 5424, 540, 1018, 729, 547, 2097, 563, 8133, 267, 23806, 971, 607, 1133, 2193, 19279, 543, 1010, 24543, 267, 8419, 2861, 1895, 267, 634, 476, 273, 14970, 595, 4319, 267, 4421, 6634, 540, 5638, 282, 7132, 789, 4465, 513, 4339, 1996, 519, 2136, 2276, 2229, 936, 24890, 602, 782, 986, 13827, 28322, 689, 269, 1656, 5800, 14880, 267, 7147, 267, 5918, 334, 623, 11069, 595, 630, 6020, 303, 264, 543, 645, 684, 645, 1765, 4385, 607, 772, 294, 298, 1765, 516, 548, 1078, 27825, 971, 607, 476, 1960, 277, 779, 681, 573, 514, 685, 667, 8812, 269, 1656, 20640, 4252, 1299, 631, 297, 294, 779, 1290, 514, 685, 4934, 10434, 630, 1960, 274, 264, 8118, 519, 7450, 585, 6490, 874, 529, 267, 17906, 269, 1656, 20279, 779, 5192, 334, 27258, 685, 968, 21790, 29892, 570, 9581, 593, 2725, 892, 630, 1960, 272, 264, 729, 9691, 15197, 543, 6603, 1297, 476, 2537, 593, 9291, 4580, 476, 1911, 269, 2353, 941, 8037, 1568, 676, 4166, 3562, 15515, 268, 5586, 754, 776, 5159, 267, 855, 789, 941, 1869, 25323, 543, 16053, 693, 519, 942, 676, 741, 5101, 11076, 270, 26156, 11076, 9905, 563, 291, 1144, 3162, 12048, 5577, 779, 3210, 547, 27055, 779, 4633, 729, 513, 16795, 18214, 540, 6284, 602, 2919, 883, 17282, 269, 4256, 12081, 3459, 609, 519, 11944, 540, 4830, 10297, 3143, 23423, 543, 22418, 14559, 19475, 2921, 936, 585, 519, 476, 4200, 543, 519, 476, 1220, 271, 338, 269, 3131, 1097, 968, 22913, 623, 892, 16019, 12630, 1010, 9206, 609, 513, 7382, 543, 513, 3143, 23423, 887, 3122, 602, 3769, 3733, 560, 1731, 531, 267, 23183, 2473, 267, 28010, 330, 519, 1744, 29420, 267, 5839, 267, 595, 5336, 584, 1457, 267, 674, 328, 754, 267, 918, 2033, 1299, 2806, 601, 267, 31522, 10937, 590, 3916, 630, 6020, 303, 1070, 543, 16764, 3116, 689, 519, 2451, 2427, 540, 1715, 20252, 267, 17039, 269, 21563, 534, 968, 289, 2273, 2006, 892, 5261, 3366, 22418, 14559, 267, 513, 4130, 543, 811, 16918, 2319, 689, 519, 1482, 2749, 609, 19565, 267, 12395, 267, 28553, 773, 18610, 267, 645, 14371, 1421, 543, 2104, 10828, 700, 559, 31722, 563, 4002, 519, 824, 2427, 729, 6490, 874, 529, 29929, 1895, 8422, 268, 277, 5336, 2378, 807, 267, 4171, 1381, 1739, 5645, 873, 547, 22530, 731, 558, 269, 634, 2038, 476, 1220, 271, 338, 4718, 24611, 267, 11908, 267, 856, 4395, 609, 700, 559, 13744, 543, 519, 5101, 2515, 27258, 3056, 519, 1835, 6064, 2575, 5951, 602, 5189, 5159, 971, 607, 17235, 22994, 267, 962, 532, 18708, 3828, 1231, 267, 700, 559, 2480, 571, 653, 344, 267, 8479, 26108, 345, 314, 26950, 274, 316, 2073, 2558, 650, 6807, 267, 543, 811, 269, 29382, 21115, 342, 630, 6020, 303, 264, 689, 7147, 9447, 21115, 342, 2575, 267, 513, 30281, 26274, 593, 14589, 543, 513, 2511, 602, 849, 3357, 689, 5159, 971, 607, 700, 559, 4469, 760, 267, 2098, 7304, 334, 267, 6754, 9931, 267, 16422, 11669, 18311, 267, 15310, 4793, 630, 6020, 303, 1070, 590, 3916, 774, 1872, 267, 700, 559, 3223, 651, 267, 8262, 7313, 4486, 630, 6020, 303, 264, 543, 811, 563, 307, 15660, 10200, 338, 570, 1905, 631, 15120, 1731, 2968, 513, 8828, 554, 755, 2401, 779, 23573, 269, 898, 729, 519, 10959, 282, 621, 13264, 998, 7496, 543, 12236, 1256, 811, 4055, 543, 2463, 585, 519, 3162, 269, 3973, 267, 8828, 5159, 971, 607, 23160, 659, 5142, 267, 808, 2465, 5414, 267, 918, 14525, 19375, 267, 962, 2426, 808, 665, 267, 654, 10440, 4469, 1442, 320, 4469, 877, 267, 543, 2871, 764, 328, 631, 2033, 4797, 547, 796, 777, 860, 13443, 14736, 538, 519, 9885, 543, 18423, 972, 269, 13536, 986, 13827, 1131, 9772, 570, 15660, 10200, 338, 4542, 543, 1039, 21360, 1765, 4263, 331, 9017, 15972, 2575, 721, 22363, 538, 8892, 267, 476, 2641, 14205, 720, 267, 476, 273, 20456, 345, 267, 8479, 774, 1872, 267, 20353, 657, 267, 543, 1866, 269, 1452, 986, 13827, 270, 10157, 338, 3576, 519, 2463, 789, 14201, 1406, 2016, 543, 723, 4797, 547, 8853, 607, 513, 15913, 267, 1818, 519, 3162, 519, 18678, 3148, 538, 31177, 14929, 2221, 269, 0, 10932, 9137, 11300, 12780, 267, 16671, 5174, 312, 454, 288, 6651, 547, 8564, 11576, 832, 585, 4437, 32441, 1160, 2821, 454, 265, 17357, 22046, 532, 2278, 281, 715, 684, 334, 667, 4040, 1132, 267, 4959, 5085, 268, 4696, 4932, 267, 681, 7699, 1230, 1088, 515, 10098, 2506, 573, 1470, 18937, 541, 549, 267, 17577, 563, 3725, 18727, 281, 4728, 476, 2918, 267, 476, 1001, 280, 15618, 281, 4989, 476, 5400, 267, 476, 1001, 280, 454, 5475, 20074, 606, 5007, 3926, 538, 513, 3461, 267, 621, 568, 2629, 547, 6895, 621, 269, 634, 4161, 540, 1373, 3330, 519, 3461, 543, 519, 991, 547, 1685, 519, 669, 597, 17790, 5106, 547, 7747, 519, 4720, 543, 1533, 568, 513, 2101, 1900, 547, 798, 269, 4746, 267, 519, 2792, 1184, 568, 711, 2653, 269, 2201, 519, 1283, 267, 519, 18349, 21084, 540, 513, 9490, 1560, 543, 519, 2565, 1604, 6799, 606, 3606, 8404, 269, 634, 1459, 1957, 6799, 513, 2143, 1353, 9300, 585, 513, 2647, 2039, 540, 24118, 23083, 543, 3156, 269, 898, 6663, 547, 2491, 543, 4852, 2867, 1125, 1950, 2930, 1702, 538, 513, 2241, 543, 2649, 1043, 1893, 563, 21292, 281, 32190, 267, 16424, 267, 15089, 12771, 267, 29119, 17467, 267, 1955, 17852, 267, 4578, 11601, 267, 6481, 454, 1103, 2596, 2474, 267, 519, 9300, 568, 513, 3926, 602, 2306, 519, 7020, 543, 20781, 609, 606, 3403, 689, 519, 2168, 1604, 269, 1809, 1018, 1223, 581, 891, 11378, 286, 634, 1769, 267, 3002, 267, 5163, 267, 7509, 267, 2604, 267, 610, 1022, 3713, 762, 538, 606, 1604, 4756, 7127, 616, 1806, 269, 4935, 267, 950, 513, 1808, 9300, 11392, 3403, 689, 519, 1604, 267, 621, 15920, 606, 3977, 267, 3622, 513, 5365, 799, 568, 5827, 540, 1373, 10736, 547, 581, 1224, 676, 519, 16267, 610, 10299, 6475, 1227, 998, 513, 1239, 3060, 269, 11576, 832, 616, 2404, 609, 1098, 3027, 619, 267, 7011, 1782, 7403, 267, 27459, 2358, 543, 1852, 3457, 269, 1358, 616, 1031, 1927, 269, 32190, 1797, 513, 3926, 6446, 30397, 513, 1689, 538, 519, 2168, 1604, 543, 21810, 621, 883, 513, 5365, 6446, 666, 581, 6027, 543, 6592, 1247, 519, 2165, 1098, 706, 1356, 568, 3989, 607, 513, 3926, 6446, 19132, 1648, 689, 835, 1062, 547, 1776, 267, 799, 949, 581, 519, 1482, 607, 610, 10736, 1106, 630, 1278, 982, 519, 3312, 1040, 634, 9300, 568, 4294, 547, 3713, 3294, 1247, 519, 1098, 706, 1356, 568, 4294, 547, 519, 15392, 3693, 2404, 609, 1022, 5547, 269, 7612, 476, 272, 2982, 519, 22107, 1228, 5832, 540, 519, 2283, 1681, 1184, 563, 763, 8596, 616, 1031, 538, 513, 3099, 540, 3156, 538, 6080, 267, 2533, 543, 1256, 585, 10820, 269, 26023, 267, 519, 9300, 568, 513, 3926, 602, 814, 519, 1599, 547, 3713, 543, 4431, 547, 1022, 17003, 4398, 269, 15316, 2010, 540, 8596, 4431, 547, 1114, 17003, 267, 971, 607, 281, 3002, 267, 2604, 267, 3350, 267, 1769, 543, 1866, 269, 2991, 519, 9300, 11392, 519, 17003, 267, 922, 1599, 568, 547, 6494, 513, 5365, 602, 666, 581, 10736, 543, 14648, 676, 824, 3457, 269, 634, 3903, 540, 9300, 5673, 9003, 593, 519, 3483, 540, 922, 10380, 269, 1924, 267, 835, 2115, 547, 2708, 2825, 2175, 543, 3442, 519, 1034, 3617, 9300, 585, 602, 2534, 563, 15650, 540, 11576, 832, 454, 1607, 1826, 540, 9300, 3096, 519, 16079, 2132, 2334, 19082, 519, 3432, 540, 3280, 267, 835, 540, 519, 9300, 2010, 1031, 547, 7001, 9883, 269, 634, 17974, 9300, 729, 1031, 538, 21069, 1355, 8254, 543, 568, 1031, 538, 1082, 2090, 2334, 4518, 609, 5067, 541, 1062, 269, 6271, 946, 540, 519, 17974, 9300, 568, 538, 519, 18736, 1062, 540, 519, 1034, 2413, 6517, 630, 8368, 476, 272, 1916, 25821, 8596, 3713, 7648, 538, 5122, 6724, 971, 607, 606, 21561, 538, 3167, 2323, 974, 610, 1256, 8795, 519, 6453, 269, 1452, 2242, 2014, 930, 4990, 540, 5365, 547, 1689, 519, 4567, 540, 513, 1808, 5547, 267, 519, 20794, 6467, 269, 2422, 540, 713, 1826, 540, 9300, 568, 1360, 1455, 538, 6453, 7020, 5547, 267, 936, 9690, 610, 936, 14179, 5653, 4027, 882, 904, 630, 8368, 476, 273, 1916, 306, 839, 832, 540, 713, 1826, 616, 4922, 1031, 547, 3713, 519, 6679, 540, 9885, 610, 9486, 269, 634, 6419, 9300, 3117, 1235, 540, 513, 1507, 5068, 4216, 2334, 814, 538, 922, 3330, 1079, 4496, 19059, 6824, 958, 22274, 269, 634, 2962, 540, 519, 6419, 2361, 568, 10502, 1879, 1358, 1452, 19059, 2673, 267, 1450, 1699, 2095, 269, 901 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 3963, 11109, 513, 11162, 8028, 568, 12708, 547, 6153, 2657, 454, 763, 2956, 540, 513, 4509, 513, 2973, 8028, 1522, 9983, 596, 269, 8437, 1934, 547, 1451, 875, 2348, 707, 8028, 5781, 19345, 666, 1764, 707, 1072, 563, 290, 965, 532, 267, 32125, 267, 765, 22689, 267, 2196, 5500, 9224, 267, 28349, 4064, 286, 898, 666, 581, 2653, 547, 12161, 891, 2589, 585, 12119, 11959, 610, 519, 1455, 4411, 563, 3719, 891, 949, 581, 4191, 602, 707, 2011, 14555, 2115, 930, 3007, 563, 4131, 779, 1491, 513, 1413, 693, 1946, 2348, 513, 2973, 8028, 568, 1898, 547, 1434, 1072, 563, 291, 755, 267, 16458, 16164, 19204, 543, 623, 4382, 1938, 454, 2005, 949, 3280, 2186, 320, 14407, 269, 1809, 7452, 568, 5097, 7768, 540, 912, 268, 24538, 3653, 543, 10920, 19397, 7786, 454, 268, 5274, 543, 3662, 2960, 2281, 454, 268, 9995, 543, 13897, 454, 268, 28881, 7912, 454, 4322, 23480, 666, 8886, 622, 519, 10347, 24827, 538, 707, 9224, 543, 2014, 7050, 32125, 543, 513, 2196, 5500, 9224, 563, 2691, 596, 723, 513, 2973, 2011, 6882, 267, 891, 7452, 5536, 616, 6569, 689, 519, 2011, 596, 13236, 563, 21080, 13871, 12019, 543, 12071, 5164, 4926, 454, 763, 6481, 4741, 693, 519, 2160, 540, 15930, 2829, 602, 519, 2298, 540, 707, 7929, 1072, 568, 2047, 1644, 547, 519, 27194, 540, 519, 11255, 2011, 596, 13236, 563, 16352, 513, 2973, 8028, 609, 1164, 7779, 12086, 1797, 596, 2461, 9427, 4551, 543, 8290, 689, 519, 2011, 267, 4227, 707, 8458, 540, 4576, 563, 2791, 917, 875, 3765, 30514, 621, 568, 547, 2097, 1524, 609, 513, 3644, 540, 1022, 2186, 269, 1975, 732, 3054, 519, 31191, 543, 24074, 676, 10115, 538, 2298, 2011, 12086, 547, 2569, 707, 8458, 563, 4517, 5225, 22302, 707, 1071, 22086, 619, 267, 1932, 269, 5213, 1406, 979, 547, 960, 7210, 2336, 303, 1115, 543, 8330, 8676, 454, 288, 2973, 8028, 786, 1118, 621, 811, 2693, 602, 596, 3580, 581, 2111, 547, 6175, 519, 8458, 540, 3384, 10447, 610, 4620, 11959, 563, 2791, 2648, 707, 7314, 269, 1809, 741, 546, 6387, 666, 20739, 752, 688, 22106, 593, 707, 7929, 1062, 563, 2791, 666, 1869, 2879, 10212, 548, 609, 707, 6539, 2906, 543, 1832, 741, 1764, 593, 707, 1072, 693, 513, 1970, 676, 4749, 4657, 707, 2011, 12086, 563, 307, 16464, 4563, 27718, 543, 631, 843, 1168, 454, 7197, 540, 721, 723, 4862, 540, 9044, 543, 7646, 1168, 269, 23225, 518, 540, 721, 616, 5432, 609, 6757, 3109, 9044, 543, 1018, 621, 666, 798, 547, 938, 1072, 563, 14937, 9044, 666, 2445, 593, 2011, 12086, 267, 799, 568, 1946, 621, 779, 865, 1271, 547, 2638, 873, 4749, 563, 14937, 9044, 666, 1106, 1175, 827, 9170, 7509, 25173, 269, 1656, 621, 779, 835, 540, 519, 1034, 5906, 28633, 1472, 269, 898, 20555, 593, 5214, 6878, 1455, 538, 10820, 971, 607, 3819, 13665, 610, 15790, 1115, 563, 22873, 658, 2589, 540, 3109, 9044, 15464, 1331, 912, 268, 30975, 7244, 454, 268, 14627, 550, 25874, 610, 9854, 454, 268, 2480, 337, 2255, 344, 11563, 454, 268, 16685, 267, 9224, 543, 11563, 16698, 454, 268, 18127, 23472, 454, 268, 14627, 550, 14331, 454, 5415, 3978, 2589, 270, 29798, 540, 4797, 4598, 4125, 912, 268, 774, 8089, 909, 454, 268, 28563, 5338, 9224, 454, 268, 10552, 7535, 532, 538, 519, 9641, 454, 14937, 9044, 568, 835, 540, 519, 1034, 14042, 4539, 540, 10714, 532, 547, 2226, 513, 2973, 8028, 269, 634, 1655, 8878, 1996, 3109, 9044, 4598, 568, 2921, 23833, 3800, 971, 607, 912, 268, 21744, 707, 2011, 12086, 2687, 547, 10672, 779, 5528, 454, 268, 10435, 2386, 707, 6885, 4559, 616, 5265, 20177, 454, 268, 7581, 2130, 1022, 11935, 689, 2011, 28954, 1310, 28889, 9934, 3785, 454, 268, 11109, 513, 3318, 8524, 707, 3003, 8028, 1770, 454, 28444, 1005, 513, 11162, 8028, 1280, 2659, 2657, 454, 8855, 267, 3388, 649, 4076, 4857, 4991, 9575, 676, 707, 8028, 779, 2011, 12086, 269, 901, 568, 1946, 621, 779, 865, 1271, 547, 1832, 707, 8028, 2973, 543, 538, 519, 2312, 563, 2252, 596, 2461, 538, 519, 2344, 585, 1007, 2011, 12086, 267, 2638, 721, 856, 693, 20056, 5794, 8606, 1562, 269, 0, 1805, 269, 7338, 814, 4280, 519, 2243, 543, 8325, 2989, 621, 547, 922, 2565, 1448, 281, 646, 12134, 834, 31347, 2441, 581, 519, 2212, 540, 782, 2367, 257, 630, 4306, 8633, 269, 279, 269, 273, 1070, 543, 4267, 796, 25406, 665, 958, 602, 646, 568, 519, 2212, 540, 782, 2367, 267, 8197, 267, 543, 602, 18867, 519, 25386, 1560, 540, 519, 5939, 5161, 540, 782, 2367, 945, 723, 267, 543, 786, 723, 267, 11478, 689, 519, 4098, 540, 519, 1158, 547, 922, 1439, 563, 4942, 3342, 2684, 1227, 267, 519, 20790, 10522, 602, 2441, 568, 1312, 519, 834, 7290, 5566, 2441, 2437, 609, 513, 834, 2181, 268, 257, 543, 834, 14006, 268, 257, 538, 942, 267, 543, 519, 10143, 15851, 1145, 267, 9631, 30876, 6974, 538, 519, 2095, 540, 1686, 267, 609, 9444, 513, 834, 2181, 268, 257, 6862, 513, 834, 14006, 268, 1701, 769, 519, 1769, 540, 891, 6286, 267, 1287, 267, 519, 13513, 540, 1651, 28271, 1131, 2769, 519, 1995, 267, 609, 513, 4266, 538, 1686, 267, 540, 2696, 8757, 883, 812, 543, 13031, 1864, 607, 519, 3465, 775, 602, 568, 519, 2095, 540, 4527, 689, 519, 4098, 540, 519, 1158, 547, 922, 1439, 269, 3778, 568, 2441, 2854, 1804, 563, 1607, 2063, 19862, 568, 711, 538, 4655, 609, 519, 15107, 4577, 834, 2006, 2854, 1804, 1701, 1677, 581, 2386, 267, 519, 1079, 3090, 3359, 8428, 267, 1317, 519, 1101, 835, 568, 1266, 25311, 676, 513, 533, 928, 9964, 1995, 538, 519, 2796, 540, 7225, 24191, 268, 22146, 13414, 267, 1247, 519, 2034, 835, 568, 1266, 25311, 676, 513, 1100, 2045, 1995, 538, 519, 2796, 540, 18774, 21329, 6138, 282, 855, 789, 798, 711, 8428, 609, 2543, 547, 519, 2497, 540, 519, 4641, 3090, 1242, 563, 1103, 1931, 547, 6166, 519, 7663, 8864, 540, 2497, 6829, 538, 1114, 3090, 3359, 267, 594, 4927, 10839, 519, 1898, 8574, 689, 519, 9502, 540, 30634, 1027, 517, 630, 589, 6185, 269, 476, 26493, 264, 834, 5978, 7083, 4906, 2441, 1547, 1547, 1547, 5963, 2696, 543, 5963, 812, 1547, 1547, 1547, 6444, 538, 1079, 562, 2137, 1547, 1547, 1547, 634, 11984, 540, 562, 2137, 1373, 538, 1100, 1259, 3045, 592, 1194, 676, 519, 9769, 267, 855, 2864, 519, 4162, 540, 1142, 2470, 1373, 12873, 543, 4947, 1927, 547, 1106, 835, 1268, 543, 7449, 14571, 4799, 1607, 1130, 5050, 3801, 540, 519, 1273, 637, 547, 2769, 519, 1079, 2987, 14633, 4641, 540, 2696, 781, 7589, 538, 812, 267, 1510, 2901, 18731, 519, 3021, 520, 8864, 540, 519, 1079, 610, 24590, 519, 835, 267, 4145, 519, 1482, 2497, 540, 13591, 4641, 267, 540, 519, 1558, 25404, 267, 519, 14544, 13341, 950, 646, 23607, 812, 781, 9637, 540, 7589, 538, 519, 10143, 2666, 540, 1010, 6228, 269, 634, 4641, 540, 519, 2405, 328, 1807, 543, 519, 13591, 4641, 540, 9637, 723, 519, 1482, 2497, 563, 1103, 519, 7214, 2916, 540, 519, 2085, 267, 938, 2079, 540, 6697, 6698, 949, 1291, 547, 3765, 24483, 269, 2913, 803, 13657, 4061, 281, 519, 14544, 666, 948, 547, 1118, 13414, 4111, 1043, 267, 855, 1100, 811, 982, 602, 281, 513, 6138, 540, 9637, 568, 711, 513, 12990, 585, 13414, 269, 1280, 519, 14544, 568, 513, 812, 538, 3406, 540, 5168, 282, 646, 568, 711, 2696, 13031, 5168, 269, 1547, 1547, 1547, 0, 288, 1377, 4282, 568, 827, 2870, 6054, 269, 634, 17609, 540, 2959, 11855, 1369, 519, 15853, 540, 707, 1378, 8313, 630, 604, 596, 4076, 3893, 835, 264, 949, 2285, 1776, 1797, 547, 1174, 519, 1896, 1114, 2994, 538, 818, 628, 626, 800, 269, 5221, 596, 1131, 547, 1205, 513, 3391, 2689, 267, 1287, 596, 3580, 4983, 519, 5830, 685, 29170, 14843, 267, 1373, 1978, 547, 27464, 2312, 540, 2653, 14592, 269, 2353, 9735, 4282, 6054, 723, 513, 9120, 543, 7347, 15784, 269, 589, 3578, 11208, 513, 23531, 1323, 1557, 3884, 1406, 1152, 513, 17609, 540, 3877, 269, 19866, 2376, 2870, 12346, 2390, 519, 5098, 269, 634, 1557, 3340, 513, 1747, 593, 519, 2339, 543, 666, 1683, 513, 2647, 5943, 585, 6643, 269, 898, 3217, 513, 1747, 593, 519, 3390, 855, 1281, 711, 1683, 513, 5943, 585, 11407, 269, 1677, 17492, 513, 24077, 1557, 267, 596, 991, 547, 1101, 3313, 1018, 707, 1898, 7521, 786, 581, 267, 1287, 11282, 707, 2376, 547, 1711, 602, 4661, 563, 10673, 1406, 1491, 519, 10279, 676, 3054, 563, 25332, 2925, 519, 2694, 540, 707, 1378, 5098, 543, 2285, 513, 851, 540, 707, 5888, 547, 782, 269, 9796, 3007, 547, 519, 1880, 1966, 1369, 519, 5401, 568, 9738, 1282, 513, 2603, 540, 519, 2376, 269, 634, 1557, 949, 1134, 711, 3180, 513, 1747, 593, 519, 1966, 267, 610, 519, 2376, 1522, 1491, 513, 13307, 855, 1810, 1406, 2769, 7787, 525, 547, 1489, 602, 1747, 267, 610, 519, 2376, 2356, 3217, 513, 1747, 855, 1673, 517, 1406, 2844, 513, 18879, 269, 1677, 30134, 513, 2351, 328, 7240, 2376, 267, 596, 3580, 1101, 4983, 3875, 1568, 593, 606, 967, 626, 3907, 27720, 3390, 267, 1519, 519, 21829, 2782, 269, 19060, 268, 612, 904, 2593, 1411, 1058, 1589, 585, 3054, 607, 1134, 607, 2097, 909, 543, 849, 513, 6505, 2856, 685, 547, 2328, 513, 14222, 4282, 2376, 269, 26671, 10123, 2119, 547, 4163, 269, 0, 2690, 1296, 267, 3744, 723, 23503, 519, 2360, 540, 4212, 4616, 593, 1480, 1072, 269, 5221, 5798, 2270, 1164, 2157, 540, 8501, 267, 789, 723, 1044, 10924, 676, 1082, 547, 2333, 1004, 779, 1981, 540, 3384, 18337, 2295, 2068, 630, 6224, 291, 264, 676, 9870, 741, 8501, 2157, 563, 5415, 2487, 2090, 267, 2705, 267, 1397, 602, 519, 4527, 540, 8501, 538, 1426, 2472, 814, 8766, 1764, 593, 2157, 540, 8501, 538, 519, 18072, 338, 540, 1346, 22991, 10438, 971, 3536, 269, 769, 1249, 267, 621, 5526, 602, 1034, 540, 519, 8501, 21883, 538, 513, 1268, 779, 1973, 568, 1500, 676, 602, 1268, 779, 6797, 563, 763, 1353, 267, 5342, 676, 3173, 689, 12309, 779, 20615, 21809, 4659, 543, 667, 299, 310, 31173, 7896, 538, 18096, 267, 729, 14102, 676, 519, 2475, 779, 17378, 12594, 4741, 630, 1173, 340, 2406, 267, 9870, 1761, 7526, 540, 1719, 264, 543, 3370, 538, 519, 4750, 540, 519, 1977, 5441, 540, 12594, 538, 3735, 476, 1001, 277, 563, 763, 2856, 729, 547, 22738, 513, 2689, 543, 909, 3562, 15082, 2079, 540, 4540, 2963, 593, 519, 3095, 1063, 4189, 5798, 543, 519, 4220, 540, 8482, 543, 595, 8461, 563, 763, 20615, 21809, 5937, 299, 310, 1382, 2319, 4857, 782, 17053, 2090, 3370, 909, 547, 4864, 476, 1001, 276, 602, 6743, 693, 4079, 685, 4212, 4616, 543, 2901, 2295, 2068, 610, 8482, 269, 2353, 941, 17053, 20165, 2090, 267, 799, 666, 3313, 12205, 1063, 2188, 855, 711, 519, 4287, 540, 1757, 566, 563, 763, 2319, 7535, 539, 519, 2164, 540, 891, 2090, 267, 1287, 21845, 519, 7535, 539, 1239, 538, 606, 3801, 547, 23754, 2436, 2362, 4212, 4616, 1185, 1022, 1764, 593, 8482, 543, 5924, 595, 8461, 4093, 563, 5445, 849, 6743, 585, 1018, 568, 1634, 607, 513, 2048, 323, 846, 3210, 685, 1107, 602, 568, 267, 1022, 16315, 602, 513, 1268, 779, 1981, 540, 3384, 595, 8461, 610, 7092, 513, 8482, 9782, 610, 8593, 538, 1899, 609, 519, 1297, 540, 5798, 602, 1268, 17696, 538, 606, 3328, 3018, 563, 7197, 540, 519, 2090, 2390, 799, 519, 2079, 729, 5342, 1185, 9286, 2048, 14683, 4212, 4616, 685, 607, 1472, 606, 4212, 829, 1554, 543, 2048, 869, 4212, 4616, 685, 607, 1447, 982, 1079, 5798, 513, 3018, 563, 7197, 267, 855, 711, 782, 519, 2090, 1185, 14661, 741, 1239, 547, 2272, 585, 1476, 15929, 2188, 602, 1223, 723, 4299, 5396, 685, 1981, 540, 2295, 2068, 543, 8482, 267, 971, 607, 2085, 267, 4008, 267, 2597, 267, 3635, 2157, 543, 2834, 640, 267, 7296, 1686, 1107, 543, 267, 538, 513, 1906, 540, 519, 2090, 267, 519, 2048, 8234, 1465, 685, 610, 6382, 540, 5171, 262, 11326, 2949, 563, 763, 3173, 849, 5342, 3044, 4255, 547, 2638, 585, 8313, 9186, 543, 547, 3313, 2436, 741, 5758, 4681, 1185, 1044, 3768, 340, 569, 4299, 676, 835, 610, 811, 540, 519, 2090, 689, 799, 1239, 729, 6537, 563, 763, 20615, 21809, 5937, 299, 310, 13849, 20400, 7000, 1100, 1713, 7681, 1063, 4212, 4616, 543, 2295, 2068, 855, 513, 476, 1321, 2600, 5786, 538, 519 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 543, 3893, 4503, 538, 922, 7524, 12383, 286, 2107, 723, 596, 2938, 19347, 9413, 1759, 593, 2442, 14676, 899, 30064, 5336, 534, 610, 24090, 19716, 286, 22383, 616, 3532, 2645, 602, 666, 2995, 2984, 998, 1148, 543, 1913, 256, 1358, 4312, 1044, 851, 540, 1977, 2528, 2094, 519, 3735, 476, 866, 628, 2540, 267, 855, 1705, 596, 917, 789, 1223, 849, 4001, 721, 1271, 4245, 827, 1686, 543, 1514, 2152, 286, 2913, 781, 4685, 883, 519, 4241, 1158, 540, 14676, 543, 3605, 875, 789, 6655, 6835, 547, 741, 3988, 780, 4089, 476, 272, 281, 1548, 3657, 22383, 888, 4467, 923, 616, 3308, 9423, 12043, 1210, 18615, 2592, 630, 3966, 1564, 264, 1419, 10483, 676, 3061, 687, 543, 4633, 18616, 269, 901, 2189, 4999, 2636, 5159, 547, 2769, 4555, 543, 4664, 3113, 1227, 1247, 23187, 1344, 998, 2854, 1893, 269, 3509, 1589, 14676, 1152, 4183, 27568, 282, 2705, 267, 972, 616, 1082, 11964, 971, 607, 3140, 5708, 267, 15832, 267, 2257, 5708, 267, 14810, 267, 7045, 267, 543, 1256, 3872, 2326, 2439, 4089, 476, 273, 281, 1215, 5620, 22383, 5345, 9407, 3683, 5384, 888, 1103, 519, 2038, 2395, 267, 14676, 941, 2241, 2582, 1790, 534, 601, 12400, 1572, 834, 322, 691, 9398, 2437, 799, 7902, 538, 14786, 269, 13536, 267, 15888, 3323, 9256, 2789, 8440, 883, 17446, 1634, 607, 834, 1260, 545, 17446, 1701, 1635, 519, 4571, 268, 736, 628, 2540, 267, 2407, 27480, 13371, 2835, 2968, 4922, 2139, 267, 10023, 1312, 3312, 3197, 543, 14624, 540, 5339, 27825, 269, 4653, 267, 3059, 5867, 2709, 11995, 7399, 585, 2870, 543, 4687, 1585, 3029, 540, 14676, 11451, 780, 4089, 476, 274, 281, 4208, 2422, 22383, 1306, 12409, 13088, 888, 5331, 1565, 1950, 2035, 1500, 2653, 998, 11541, 3197, 543, 12667, 11052, 256, 2334, 781, 1018, 2306, 14676, 865, 2500, 538, 2069, 269, 2368, 2640, 1331, 1384, 272, 269, 12056, 6881, 2511, 910, 11617, 13267, 3898, 14405, 1053, 538, 543, 6585, 3007, 1732, 982, 2757, 5931, 563, 273, 269, 22217, 1881, 7778, 1107, 7493, 2093, 1831, 811, 24669, 950, 4843, 7258, 2312, 2592, 543, 8766, 2065, 1257, 563, 274, 269, 16508, 4276, 1107, 11541, 3197, 948, 1053, 26003, 1125, 609, 1114, 5380, 543, 3871, 563, 275, 269, 590, 928, 752, 1176, 13181, 1107, 1317, 2542, 14676, 7959, 1187, 2864, 982, 16601, 267, 6267, 10110, 1702, 26968, 5944, 563, 276, 269, 29456, 1107, 23695, 547, 3309, 1565, 6163, 267, 14676, 4196, 607, 3407, 2200, 585, 3308, 267, 17391, 267, 543, 10252, 20469, 6267, 7567, 780, 4089, 476, 275, 281, 7822, 7869, 1656, 4706, 8177, 2201, 22383, 454, 21760, 4249, 513, 1713, 1909, 538, 4259, 519, 7099, 543, 5790, 1369, 14676, 269, 20551, 946, 2681, 3069, 3741, 547, 18427, 1808, 4606, 543, 6547, 689, 3988, 269, 1280, 3236, 267, 3636, 4778, 899, 2699, 267, 10538, 267, 543, 5835, 1522, 24901, 10845, 267, 6612, 267, 610, 23473, 267, 6466, 16830, 24698, 899, 4544, 543, 3039, 2303, 9350, 1145, 610, 18354, 269, 6884, 267, 1498, 267, 14676, 949, 1904, 585, 3109, 7146, 22554, 11247, 3079, 540, 4778, 1813, 547, 30031, 7375, 610, 2504, 3790, 269, 17859, 267, 1142, 3903, 8309, 3648, 547, 2949, 9423, 780, 4089, 476, 276, 281, 10289, 4317, 12983, 3414, 18753, 26358, 454, 3080, 8037, 1383, 540, 21365, 3978, 5396, 3842, 14676, 568, 11835, 601, 4168, 28711, 781, 740, 320, 1632, 540, 25592, 1090, 2473, 269, 918, 754, 328, 781, 853, 2086, 539, 689, 519, 22073, 281, 589, 18753, 3778, 540, 13787, 626, 14313, 538, 3013, 269, 901, 8903, 960, 6770, 547, 1272, 519, 1279, 29280, 6560, 1996, 10168, 538, 519, 2136, 2276, 269, 898, 3096, 11495, 12383, 543, 13801, 32538, 547, 2736, 1524, 7294, 3140, 2621, 543, 6848, 28639, 267, 1818, 621, 4443, 585, 7820, 9458, 547, 10146, 543, 4497, 609, 713, 2565, 3390, 780, 3528, 6220, 14676, 883, 938, 2090, 267, 649, 1930, 6000, 909, 547, 1007, 2081, 540, 1620, 519, 1158, 1472, 721, 269, 1924, 3314, 267, 1985, 942, 596, 4584, 909, 513, 13371, 1433, 267, 1810, 1405, 30391, 922, 1379, 32503, 2811, 8066, 1454, 811, 982, 10742, 519, 3750, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 290, 691, 3019, 626, 543, 19829, 11835, 601, 4168, 28711, 26082, 721, 547, 2911, 827, 1010, 1007, 1433, 853, 2086, 539, 689, 519, 22073, 281, 589, 18753, 3778, 540, 13787, 626, 14313, 538, 3013, 267, 606, 11609, 9542, 540, 25592, 1090, 2473, 269, 918, 754, 328, 779, 476, 1001, 278, 5305, 269, 1261, 3947, 721, 513, 5618, 1686, 540, 14676, 538, 1977, 2528, 543, 11828, 519, 5420, 607, 513, 14229, 21294, 1259, 547, 4001, 1004, 1919, 269, 1284, 849, 1205, 883, 2681, 3069, 543, 3109, 1299, 3043, 8957, 2681, 12449, 563, 763, 853, 2931, 3883, 11833, 5542, 585, 5147, 568, 13772, 5443, 676, 21142, 18703, 543, 25272, 18582, 19490, 269, 1284, 786, 1865, 519, 1433, 593, 5147, 476, 2918, 628, 609, 11835, 601, 4168, 28711, 563, 265, 18814, 547, 519, 2470, 540, 15264, 10229, 267, 891, 4626, 652, 10102, 616, 711, 476, 1911, 260, 4977, 543, 786, 4268, 563, 9199, 857, 7338, 476, 271, 281, 5400, 454, 8702, 547, 634, 853, 2931, 267, 513, 15264, 827, 2835, 543, 519, 1004, 945, 1224, 873, 269, 594, 6557, 707, 3984, 3004, 857, 7338, 543, 2221, 594, 6557, 6340, 609, 11835, 601, 4168, 28711, 267, 945, 779, 606, 14787, 543, 20419, 626, 543, 814, 1175, 5950, 519, 8642, 3209, 4528, 540, 25592, 1090, 2473, 918, 754, 328, 779, 853, 2086, 539, 689, 519, 22073, 269, 634, 1007, 8642, 9542, 3568, 10875, 2192, 340, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 280, 281, 14600, 13578, 7434, 18868, 910, 5295, 17346, 602, 8844, 2439, 5970, 596, 2479, 9289, 875, 707, 1560, 5932, 1648, 286, 4270, 267, 3330, 1142, 540, 707, 2281, 267, 972, 616, 6263, 3889, 1572, 26503, 602, 957, 899, 1379, 2371, 256, 1452, 5863, 2370, 31759, 6460, 1426, 883, 1648, 602, 10173, 3388, 596, 798, 1107, 689, 4881, 1472, 693, 12424, 547, 4974, 2182, 585, 4255, 269, 1809, 1705, 596, 917, 602, 891, 6909, 960, 4243, 525, 849, 723, 1776, 3579, 8945, 909, 741, 19492, 1407, 286, 1358, 666, 1847, 543, 1689, 3337, 1369, 519, 1591, 256, 901, 4241, 2702, 568, 1634, 607, 24197, 6384, 780, 5331, 952, 707, 4884, 781, 1379, 2030, 1223, 30337, 3294, 8164, 621, 2877, 547, 3082, 547, 1007, 3871, 269, 2334, 1131, 581, 7168, 11141, 267, 1318, 286, 4270, 267, 26503, 798, 1175, 602, 256, 1635, 7683, 4657, 741, 2450, 267, 3337, 267, 543, 4087, 1369, 519, 1591, 267, 789, 948, 1832, 938, 4703, 8647, 5688, 958, 269, 2913, 781, 4685, 4514, 883, 713, 13858, 1158, 540, 18784, 2261, 12069, 2439, 1262, 25603, 519, 24812, 26279, 6524, 649, 2263, 24197, 6384, 267, 1577, 781, 1101, 1205, 31235, 609, 930, 1883, 2474, 1384, 265, 2878, 300, 527, 13578, 337, 542, 4995, 589, 1507, 2497, 1336, 3330, 1034, 32541, 2281, 3743, 585, 10451, 1648, 998, 513, 1184, 1572, 10408, 19344, 563, 265, 2878, 28053, 983, 1763, 17508, 4995, 634, 7503, 540, 7280, 543, 5135, 883, 1216, 267, 3327, 8166, 267, 543, 1648, 630, 514, 519, 1106, 540, 21085, 6675, 264, 1369, 519, 26503, 563, 265, 2878, 300, 527, 13578, 7434, 674, 4288, 4995, 1879, 1079, 610, 811, 26503, 19467, 1927, 547, 1711, 835, 3677, 16454, 337, 542, 563, 265, 2878, 300, 527, 13578, 7434, 674, 2153, 4995, 1879, 513, 2582, 16454, 337, 542, 17337, 883, 1079, 5094, 3283, 563, 265, 2878, 300, 582, 1006, 4995, 634, 2702, 540, 26503, 547, 1847, 1369, 519, 32594, 540, 519, 1591, 780, 3086, 602, 649, 1174, 891, 2035, 1732, 267, 1577, 781, 5490, 883, 1946, 24197, 6384, 2339, 865, 1454, 780, 1262, 3963, 645, 1278, 2060, 11873, 286, 26279, 2791, 1522, 4898, 1946, 1945, 607, 9583, 28971, 607, 3001, 1472, 3330, 513, 1591, 1256, 6927, 269, 1717, 267, 24197, 2138, 1006, 4249, 513, 2629, 1909, 538, 4509, 2635, 2281, 269, 1280, 3236, 267, 1282, 3635, 610, 5712, 540, 2799, 10894, 3747, 267, 3742, 2281, 2154, 811, 1648, 269, 1677, 2743, 713, 991, 267, 26503, 1590, 882, 11229, 6251, 547, 1141, 1648, 568, 2838, 1107, 971, 607, 4887, 11103, 1107, 3850, 873, 547, 7561, 1683, 4492, 585, 519, 1560, 781, 2115, 780, 12234, 267, 24197, 3350, 2337, 2226, 1697, 2792, 1063, 1114, 2694, 540, 519, 1591, 269, 3807, 899, 1004, 991, 547, 2911, 547, 835, 1776, 547, 11282, 4247, 267, 1585, 3334, 540, 513, 1591, 7048, 593, 6786, 5293, 2059, 676, 5946, 23493, 1369, 519, 26503, 269, 1403, 891, 4105, 31759, 7948, 1405, 1847, 827, 11884, 267, 1271, 6835, 949, 2760, 3914, 741, 5497, 18353, 2439, 1262, 4537, 16747, 327, 14823, 590, 2314, 22032, 26279, 19741, 6071, 10688, 267, 26503, 10929, 7415, 14759, 998, 3157, 1572, 12760, 543, 31612, 269, 6056, 1394, 547, 1346, 5546, 327, 604, 1562, 538, 9413, 945, 666, 7369, 741, 3029, 547, 9290, 1808, 7653, 269, 6684, 267, 26503, 1689, 3337, 4470, 593, 1018, 519, 1591, 7569, 780, 7628, 2053, 540, 2566, 610, 3441, 267, 2789, 26503, 6443, 4229, 3842, 12760, 547, 9192, 2200, 543, 2149, 2933, 1996, 2800, 269, 17957, 267, 950, 2175, 2087, 267, 891, 1631, 1922, 4310, 26503, 7941, 2899, 1586, 998, 31612, 267, 2870, 8902, 267, 811, 3608, 15556, 5827, 540, 6721, 15792, 1648, 585, 519, 1591, 780, 1607, 3586, 4783, 540, 26399, 543, 12270, 5849, 602, 1152, 519, 16999, 267, 1034, 7347, 26503, 7639, 267, 6038, 3056, 547, 4824, 2949, 1591, 1599, 780, 1262, 1103, 12834, 26279, 300, 527, 13578, 7434, 6384, 1404, 513, 2565, 1909, 538, 5329, 938, 4703, 23832, 2059, 12347, 269, 3245, 15268, 547, 8795, 1648, 4170, 547, 7863, 2933, 1996, 1761, 6937, 267, 891, 7141, 344, 2389, 4176, 1379, 17852, 6542, 9058, 8112, 543, 30506, 269, 1924, 1985, 942, 596, 1265, 3054, 14952, 532, 693, 519, 22406, 4222, 543, 22231, 10268, 676, 2831, 899, 8701, 12217, 267, 3314, 602, 2147, 905, 1846, 540, 16608, 2049, 3232, 1369, 707, 1360, 1378, 2281, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 347, 293, 24580, 2282, 918, 752, 339, 990, 1731, 267, 4446, 614, 6816, 267, 14522, 267, 2136, 2276, 2008, 19064, 6897, 7703, 2039, 2008, 763, 8701, 7703, 630, 308, 3464, 639, 2261, 527, 574, 639, 264, 568, 513, 1804, 7703, 5065, 547, 519, 11848, 543, 7404, 2127, 269, 898, 568, 5702, 1644, 547, 519, 6960, 7703, 267, 543, 519, 1079, 2249, 666, 954, 3691, 539, 269, 634, 8701, 7703, 568, 519, 4102, 31607, 2249, 540, 7703, 543, 2244, 23097, 648, 267, 609, 2937, 9038, 20604, 476, 4968, 1700, 8517, 4846, 630, 32133, 1700, 272, 267, 31318, 18470, 1040, 634, 2249, 568, 16770, 3897, 6973, 545, 267, 607, 2937, 8951, 616, 1454, 4130, 269, 634, 8701, 7703, 568, 3043, 268, 610, 5835, 880, 1922, 13899, 609, 3109, 2960, 543, 513, 5394, 4494, 540, 3170, 269, 898, 568, 811, 28795, 982, 519, 6960, 7703, 267, 609, 513, 7522, 518, 15693, 267, 3476, 8405, 543, 2539, 13105, 1208, 335, 269, 4706, 4522, 616, 5857, 704, 543, 811, 9862, 547, 5969, 5779, 269, 634, 533, 9155, 616, 1804, 543, 1450, 519, 7703, 547, 3802, 593, 4672, 543, 31784, 538, 519, 1216, 563, 303, 6897, 12217, 616, 1312, 18714, 543, 533, 698, 30858, 630, 823, 2000, 1516, 264, 543, 616, 2808, 547, 581, 7286, 11864, 1813, 547, 741, 13829, 593, 7286, 8134, 269, 1358, 4782, 519, 5993, 4262, 4672, 855, 2661, 593, 2244, 950, 519, 4672, 5283, 1206, 538, 519, 4832, 269, 1358, 616, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 300, 527, 13578, 7434, 18868, 257, 607, 851, 540, 834, 306, 11799, 1315, 5020, 7070, 1315, 8426, 10334, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 5499, 2029, 18252, 713, 6240, 547, 1683, 513, 9023, 1198, 538, 5656, 269, 1635, 8744, 538, 3636, 543, 3819, 19355, 2011, 593, 3905, 2395, 543, 13936, 621, 1369, 519, 2679, 781, 6821, 267, 799, 616, 1202, 4327, 609, 2326, 971, 607, 23741, 4740, 267, 21958, 15074, 267, 610, 3574, 15144, 267, 11195, 568, 12842, 269, 1879, 519, 6740, 2011, 5555, 18493, 919, 267, 621, 25309, 1648, 543, 3579, 338, 519, 2679, 563, 2691, 519, 2837, 12772, 267, 669, 11035, 543, 14927, 2011, 13788, 519, 1858, 267, 543, 607, 621, 568, 3144, 538, 267, 621, 12651, 519, 2837, 267, 3246, 14246, 547, 5321, 610, 13646, 269, 4340, 547, 2098, 577, 9461, 267, 713, 568, 513, 2067, 12136, 563, 307, 615, 332, 11561, 518, 571, 781, 10421, 568, 796, 23896, 762, 267, 609, 5111, 476, 2412, 260, 540, 519, 1158, 781, 1648, 4616, 1373, 1031, 585, 2837, 7939, 538, 5656, 267, 543, 5656, 8051, 585, 476, 1789, 260, 540, 519, 1158, 781, 1648, 6165, 267, 519, 991, 585, 1007, 4066, 899, 26457, 11561, 518, 571, 568, 10423, 563, 307, 615, 332, 11561, 518, 571, 13333, 676, 10128, 513, 3060, 540, 28954, 543, 31026, 1080, 883, 513, 9241, 9112, 3774, 269, 1280, 2907, 3964, 5656, 267, 513, 1007, 3655, 9809, 1228, 5627, 3710, 2987, 13471, 543, 28954, 666, 581, 11368, 883, 519, 4540, 6821, 563, 8601, 8506, 513, 1906, 3606, 6279, 267, 519, 2640, 540, 4389, 2825, 1764, 543, 2883, 9806, 616, 8101, 269, 4340, 547, 2098, 577, 9461, 267, 1519, 26457, 11561, 518, 571, 2029, 1282, 513, 2679, 781, 4070, 1184, 666, 2569, 8022, 543, 9023, 3790, 676, 607, 1454, 607, 3368, 610, 1256, 9004, 873, 15587, 538, 1978, 8320, 563, 763, 1062, 16621, 606, 10995, 10178, 267, 15841, 5196, 519, 3774, 543, 13234, 676, 6620, 267, 799, 7561, 6933, 919, 3905, 610, 4411, 2011, 607, 2877, 269, 901, 2582, 5057, 568, 519, 6852, 5201, 17466, 3693, 540, 519, 1062, 563, 307, 615, 332, 11561, 518, 571, 779, 1062, 568, 7768, 540, 1614, 1292, 3334, 912, 1805, 4392, 13111, 1107, 2027, 10338, 1570, 14095, 3330, 513, 3774, 609, 2011, 9055, 2966, 585, 5021, 2011, 2095, 563, 288, 1062, 540, 11655, 267, 28954, 543, 14927, 619, 563, 30874, 300, 655, 31416, 9967, 540, 14164, 5100, 8596, 267, 519, 17120, 267, 6620, 543, 6531, 7384, 563, 307, 615, 332, 11561, 518, 571, 18271, 2189, 1216, 268, 25388, 6883, 2326, 543, 513, 28106, 1852, 1062, 547, 10244, 11195, 2242, 269, 901, 1184, 10997, 519, 13471, 1570, 267, 7175, 621, 547, 1831, 5671, 518, 1282, 519, 5162, 543, 2481, 704, 1282, 519, 4832, 269, 26457, 11561, 518, 571, 1287, 11573, 1137, 713, 1184, 547, 10038, 519, 2837, 676, 16550, 2011, 998, 519, 1570, 267, 16089, 3905, 610, 4411, 2011, 607, 2877, 563, 307, 615, 332, 11561, 518, 571, 781, 2029, 666, 581, 8045, 538, 1082, 3029, 269, 630, 10135, 3633, 3951, 281, 26457, 11561, 518, 571, 994, 307, 615, 332, 11561, 518, 571, 781, 1062, 16111, 10596, 19355, 2011, 998, 519, 13471, 1570, 547, 1711, 513, 811, 7059, 1604, 269, 901, 1184, 6971, 519, 10335, 540, 2837, 543, 11195, 15088, 267, 4611, 538, 513, 811, 6899, 11255, 2916, 563, 288, 1483, 1764, 454, 307, 615, 332, 11561, 518, 571, 267, 2212, 32483, 1229, 538, 2549, 597, 574, 267, 513, 6917, 22191, 324, 2146, 267, 729, 8547, 676, 2098, 577, 9461, 269, 3571, 2856, 585, 26457, 11561, 518, 571, 729, 6273, 676, 1010, 1378, 1995, 2679, 513, 3039, 1753, 538, 519, 1482, 2146, 1634, 585, 922, 2825, 4656, 269, 2098, 577, 9461, 8246, 782, 519, 2029, 646, 6785, 547, 1118, 513, 4642, 20589, 1753, 267, 855, 519, 1267, 729, 513, 2777, 602, 729, 4625, 1055, 519, 7470, 543, 1510, 1022, 3574, 610, 824, 1648, 269, 9182, 267, 646, 4810, 4411, 1145, 1282, 519, 5162, 563, 307, 615, 332, 11561, 518, 571, 781, 31601, 2029, 10244, 525, 1648, 689, 15088, 538, 11195, 269, 630, 10135, 3633, 3951, 281, 26457, 11561, 518, 571, 994, 6097, 547, 2098, 577, 9461, 267, 968, 296, 3710, 513, 4642, 20589, 1753, 676, 6220, 782, 519, 2029, 594, 6785, 267, 855, 519, 2777, 729, 4625, 1055, 519, 7470, 267, 543, 594, 4769, 1405, 946, 1022, 3574, 610, 1022, 824, 1648, 269, 594, 729, 2451, 4743, 4411, 1282, 5162, 1848, 26457, 11561, 518, 571, 267, 1631, 2212, 32483, 1229, 538, 2549, 597, 574, 267, 513, 6917, 22191, 324, 2146, 1634, 585, 922, 2825, 9637, 267, 729, 22885, 676, 2098, 577, 9461, 1247, 14335, 1010, 3039, 1753, 563, 18814, 547, 1010, 6791, 538, 24684, 267, 6683, 267, 7344, 4702, 267, 543, 3039, 4070, 267, 2098, 577, 9461, 3357, 547, 519, 20185, 602, 11195, 9023, 543, 8022, 1223, 581, 6913, 609, 3362, 2139, 2326, 2864, 982, 1950, 543, 4686, 2609, 602, 2154, 1104, 566, 563, 313, 577, 9461, 14550, 602, 1585, 2326, 666, 10110, 11195, 543, 22919, 8112, 269, 1280, 3236, 267, 6028, 513, 11356, 896, 519, 3141, 786, 1118, 621, 3819, 543, 28221, 267, 855, 11093, 621, 538, 513, 14927, 4055, 786, 5512, 621, 547, 10110, 11195, 543, 1831, 8465, 1586, 563, 763, 6240, 540, 9001, 11195, 547, 10038, 2837, 568, 11342, 538, 1585, 2326, 269, 12465, 5656, 1500, 540, 16095, 543, 10036, 616, 5140, 693, 20808, 3002, 543, 5329, 519, 4411, 856, 676, 9001, 11195, 563, 3528, 3854, 1944, 593, 519, 2067, 15088, 538, 11195, 267, 2098, 577, 9461, 4362, 602, 646, 1223, 6318, 519, 2837, 538, 1010, 2777, 689, 476, 1321, 5232, 17622, 630, 7871, 269, 277, 18278, 264, 547, 476, 2918, 595, 630, 4281, 269, 279, 674, 1916, 313, 577, 9461, 8098, 1080, 602, 1010, 2777, 729, 711, 519, 4998, 6169, 6361, 8410, 1061, 267, 17548, 267, 834, 2005, 781, 513, 2189, 2777, 269, 594, 4941, 547, 6542, 602, 938, 12191, 1223, 581, 1031, 593, 811, 6093, 3889, 267, 1141, 621, 1223, 1118, 513, 9758, 3017, 4799, 288, 1689, 538, 519, 1158, 454, 1103, 476, 1001, 276, 267, 26457, 11561, 518, 571, 729, 3964, 676, 2098, 577, 9461, 267, 2059, 609, 14664, 18607, 22819, 3240, 31089, 2006, 543, 1239, 2079, 4274, 962, 517, 27979, 26637, 269, 634, 2754, 4867, 18271, 513, 2319, 540, 2947, 2043, 563, 763, 2754, 781, 7616, 814, 1044, 6508, 689, 2789, 2959, 267, 1519, 519, 18303, 12080, 540, 6052, 267, 519, 5840, 16743, 16958, 267, 543, 519, 27428, 2933, 269, 3958, 267, 26457, 11561, 518, 571, 814, 4294, 585, 513, 1382, 9886, 689, 519, 9167, 563, 307, 615, 332, 11561, 518, 571, 814, 4607, 2883, 1489, 689, 519, 17747, 16735, 5787, 1807, 267, 799, 568, 23032, 676, 570, 611, 597, 534, 267, 606, 18303, 2011, 14555, 10672, 269, 2098, 577, 9461, 6941, 602, 519, 2319, 814, 32524, 609, 570, 611, 597, 534, 781, 8030, 547, 2232, 741, 11195, 2152, 543, 547, 2569, 1648, 4616, 563, 763, 26457, 11561, 518, 571, 2319, 568, 6131, 543, 25981, 827, 741, 960, 269, 2098, 577, 9461, 31061, 606, 2038, 7237, 609, 513, 9952, 27732, 945, 729, 8348, 547, 960, 1510, 2628, 269, 634, 27732, 1185, 5892, 5249, 585, 513, 5491, 3556, 2754, 267, 3384, 3642, 602, 9415, 1004, 547, 6108, 811, 269, 1717, 267, 789, 5551, 547, 3565, 547, 513, 3152, 2014, 543, 1118, 513, 2318, 1764, 538, 519, 1158, 563, 14454, 267, 26457, 11561, 518, 571, 568, 606, 5499, 2754, 602, 568, 13730, 827, 4227, 1648, 4616, 543, 1818, 513, 3017, 538, 519, 1158, 563, 307, 615, 332, 11561, 518, 571, 9027, 919, 602, 7598, 513, 11195, 2770, 551, 6672, 8022, 543, 9023, 1062, 538, 513, 476, 1911, 30026, 2173, 2678, 4357, 1753, 786, 1942, 10199, 1269, 274, 267, 6110, 269, 901, 1942, 2882, 3773, 17032, 2533, 971, 607, 8673, 543, 3154, 13451, 7020, 267, 607, 1134, 607, 11255, 2011, 5533, 5464, 543, 19003, 563, 4407, 26457, 11561, 518, 571, 786, 711, 1374, 922, 1378, 13471, 267, 621, 4566, 547, 12840, 609, 25255, 547, 4020, 519, 12809, 851, 540, 519, 1062, 269, 17497, 267, 519, 2754, 568, 5275, 971, 513, 5698, 267, 607, 621, 568, 538, 519, 22984, 540, 1587, 1646, 543, 10647, 6901, 538, 1585, 2694, 540, 5840, 563, 1103, 519, 2104, 267, 26457, 11561, 518, 571, 13922, 547, 4228, 922, 2533, 547, 1331, 9023, 1949, 585, 6517, 269, 13018, 267, 519, 2754, 26195, 2888, 1210, 18493, 894, 1216, 19122, 16074, 547, 3579, 1524, 6517, 602, 723, 1044, 9361, 538, 519, 3141, 543, 723, 1831, 23986, 730, 563, 290, 944, 532, 543, 8022, 616, 4909, 2115, 7488, 540, 4087, 267, 2436, 621, 781, 513, 1286, 267, 1753, 267, 610, 1022, 824, 1747, 269, 2098, 577, 9461, 26342, 519, 4644, 540, 891, 2115, 543, 6663, 547, 7668, 2043, 676, 7175, 873, 547, 1118, 741, 5321, 1582, 1606, 11211, 538, 2474, 540, 9023, 543, 8022, 563, 2690, 811, 2257, 3377, 2984, 2638, 856, 938, 1715, 11627, 725, 3296, 693, 634, 5696, 7660, 17121, 540, 5240, 563, 9616, 281, 10049, 3177, 1657, 676, 634, 5696, 7660, 17121, 540, 5240, 269, 12474, 949, 581, 12995, 585, 2511, 543, 3259, 563, 12024, 891, 2186, 540, 1745, 1434, 2984, 286, 5192, 519, 5696, 7660, 17121, 540, 5240, 262, 20394, 269, 0, 1432, 1411, 26419, 10261, 547, 5700, 6168, 5678, 16497, 585, 513, 12389, 4065, 454, 2691, 1250, 9510, 729, 2469, 883, 476, 274, 6113, 3446, 267, 519, 29224, 1893, 6575, 6437, 538, 519, 18954, 2344, 8604, 547, 581, 5678, 16497, 585, 513, 12389, 4065, 563, 296, 8068, 513, 9522, 540, 669, 2660, 543, 8039, 689, 21075, 267, 642, 8421, 338, 267, 543, 824, 4025, 782, 10704, 1472, 713, 23519, 602, 1175, 3357, 856, 689, 9457, 7734, 269, 898, 8604, 899, 519, 3501, 3514, 585, 721, 693, 519, 942, 267, 543, 594, 4956, 547, 4685, 883, 621, 543, 2285, 621, 513, 2119, 2336, 296, 993, 9599, 547, 12235, 1250, 1378, 5678, 16497, 585, 513, 12389, 4065, 2689, 883, 519, 3575, 543, 948, 18954, 31908, 856, 972, 6430, 952, 713, 6437, 568, 519, 1318, 3514, 585, 873, 563, 6826, 19230, 281, 594, 993, 14697, 958, 9237, 543, 1360, 2143, 609, 938, 1995, 269, 594, 4126, 596, 2503, 4986, 1447, 689, 513, 8284, 18954, 3158, 538, 519, 512, 29168, 540, 6437, 9140, 563, 1103, 713, 2689, 267, 596, 616, 2469, 547, 1265, 856, 1018, 519, 6437, 568, 267, 4010, 1018, 513, 3018, 540, 713, 6437, 5654, 899, 267, 1018, 649, 6068, 827, 621, 267, 1018, 649, 4769, 1406, 2648, 827, 621, 267, 945, 713, 6437, 1568, 585, 267, 543, 945, 713, 6437, 4440, 4465, 1406, 960, 585, 563, 1432, 568, 5678, 16497, 585, 513, 12389, 4065, 888, 23458, 16497, 585, 513, 12389, 4065, 568, 513, 23770, 28224, 1759, 1893, 6575, 6437, 689, 9457, 7734, 563, 2005, 5205, 519, 11173, 1650, 540, 12130, 1695, 543, 1849, 18311, 630, 327, 2345, 1041, 539, 21054, 1070, 945, 1205, 547, 4019, 3388, 789, 2461, 1565, 538, 1483, 1272, 3498, 7653, 2336, 2791, 786, 991, 547, 4444, 835, 23519, 543, 519, 7222, 476, 6200, 674, 2948, 924, 12267, 689, 519, 6426, 585, 707, 2875, 563, 2080, 568, 513, 2407, 6609, 689, 519, 9457, 7734, 3896, 912, 268, 589, 23770, 28224, 7657, 1819, 1935, 547, 10026, 1893, 6575, 454, 268, 1230, 1597, 1304, 3232, 8430, 2443, 9494, 596, 3992, 3341, 942, 454, 268, 10374, 267, 2502, 476, 736, 268, 1789, 8792, 4245, 454, 268, 9452, 2861, 1935, 609, 1915, 20671, 4798, 454, 268, 20405, 569, 1628, 13002, 26176, 2088, 585, 7820, 1053, 454, 268, 19019, 531, 11100, 540, 2984, 267, 5299, 1740, 267, 5711, 32538, 543, 3946, 6823, 1995, 547, 3142, 2035, 547, 1272, 454, 268, 476, 277, 2157, 6098, 585, 476, 272, 560, 1107, 476, 277, 628, 3446, 454, 23458, 16497, 585, 513, 12389, 4065, 281, 22549, 1548, 513, 10432, 538, 713, 15099, 6733, 338, 6145, 454, 23458, 16497, 585, 513, 12389, 4065, 814, 513, 1360, 22150, 6296, 2429, 519, 3018, 563, 296, 1589, 1250, 1126, 2731, 10150, 6616, 1018, 547, 2503, 543, 1018, 729, 4947, 909, 563, 296, 993, 2469, 547, 1397, 596, 875, 513, 6093, 3018, 1131, 2196, 1210, 7689, 476, 279, 689, 5678, 16497, 585, 513, 12389, 4065, 476, 274, 563, 7052, 8170, 1576, 972, 616, 930, 7648, 607, 1114, 2035, 616, 6026, 2429, 519, 1032, 269, 901, 568, 1175, 513, 25135, 14653, 540, 835, 3018, 563, 31388, 281, 7335, 267, 15881, 566, 267, 6490, 528, 1436, 630, 19865, 476, 272, 994, 2467, 568, 513, 5542, 547, 1224, 2059, 609, 707, 1126, 269, 1411, 1224, 519, 2834, 1257, 267, 543, 707, 1126, 14509, 519, 10538, 12006, 1257, 563, 4263, 519 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 4267, 11992, 1765, 16838, 952, 1346, 8925, 1219, 344, 7954, 610, 3964, 5013, 780, 5194, 3815, 7700, 547, 3661, 538, 24242, 6436, 568, 1514, 3310, 269, 1879, 2828, 267, 1920, 2818, 267, 610, 2228, 2950, 2671, 891, 2093, 267, 2043, 1369, 873, 949, 1376, 15819, 4922, 7608, 18408, 269, 3958, 267, 21533, 9186, 4249, 513, 1909, 1934, 1932, 282, 2899, 2576, 11099, 538, 513, 1880, 2856, 267, 789, 4043, 547, 1413, 585, 1344, 602, 7028, 621, 1247, 24937, 15852, 5784, 780, 15563, 267, 4250, 543, 10462, 1404, 1713, 5107, 538, 5807, 10343, 540, 24242, 6436, 269, 4438, 7334, 2053, 267, 1004, 6159, 557, 3137, 543, 3354, 269, 1403, 6035, 606, 7778, 267, 2705, 5579, 9476, 1043, 267, 621, 666, 3100, 30074, 547, 6849, 13509, 269, 901, 7287, 585, 1852, 543, 1620, 2306, 2043, 811, 11630, 547, 18468, 538, 4244, 6386, 780, 5719, 321, 6064, 532, 3733, 2195, 543, 18964, 11879, 15154, 454, 14343, 15365, 2026, 7855, 267, 938, 3804, 3884, 1405, 8806, 547, 14962, 24242, 6436, 855, 547, 4001, 2565, 3206, 1983, 2556, 547, 6218, 1344, 1843, 1947, 269, 1635, 6313, 3140, 8320, 899, 519, 25065, 3047, 7869, 267, 649, 666, 948, 1053, 1174, 875, 25749, 19082, 543, 1451, 2994, 547, 2697, 31877, 2959, 780, 2080, 616, 930, 3268, 547, 6536, 2635, 25949, 543, 3895, 5483, 3375, 6194, 1384, 265, 2878, 9223, 3388, 5093, 11559, 1053, 547, 2307, 2055, 827, 1022, 1344, 789, 7237, 269, 5808, 2813, 713, 2707, 286, 1548, 12886, 1522, 789, 723, 286, 1772, 972, 1022, 2963, 5885, 741, 6811, 888, 265, 2878, 13425, 2789, 2959, 4995, 17546, 707, 1362, 547, 5077, 3309, 2959, 1354, 8108, 8369, 269, 22452, 547, 8795, 16752, 2636, 585, 1732, 26455, 3664, 563, 265, 2878, 16100, 585, 17258, 10832, 4995, 8058, 707, 1053, 875, 547, 5431, 22973, 2959, 676, 10992, 2188, 899, 2278, 20340, 267, 8313, 4266, 267, 9263, 2689, 1184, 630, 1721, 3621, 4930, 1070, 543, 9000, 540, 10229, 12018, 1543, 563, 265, 2878, 21886, 5971, 1930, 5188, 4995, 8073, 513, 2922, 4928, 1604, 1141, 1053, 1745, 6899, 11589, 4555, 543, 6998, 2055, 1510, 10385, 269, 901, 8992, 1565, 543, 3408, 780, 3528, 3695, 3584, 899, 519, 25065, 3047, 7869, 543, 7234, 519, 2470, 540, 24242, 6436, 267, 649, 7668, 938, 1053, 547, 1831, 4830, 17024, 5827, 540, 10188, 1950, 2152, 538, 938, 6385, 4657, 1158, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3963, 798, 1004, 2887, 585, 24242, 6436, 454, 3963, 1004, 3494, 538, 24242, 6436, 267, 609, 27239, 19958, 267, 12854, 454, 298, 574, 24759, 281, 3683, 519, 2250, 1032, 607, 5046, 268, 866, 4224, 9643, 1472, 519, 1158, 267, 24242, 6436, 3533, 4553, 269, 7831, 5614, 267, 19421, 540, 1591, 6049, 20610, 941, 1305, 513, 18723, 2066, 2342, 267, 8015, 24242, 6436, 602, 519, 476, 276, 294, 20610, 941, 10825, 5046, 268, 866, 269, 769, 5130, 267, 513, 16855, 14278, 626, 729, 9901, 609, 22393, 21006, 7366, 540, 13066, 540, 519, 9241, 2139, 5046, 476, 866, 6669, 1317, 646, 5156, 513, 24242, 3069, 602, 519, 6669, 1131, 1689, 1480, 5027, 269, 1656, 930, 1004, 616, 7682, 532, 602, 519, 3644, 3294, 729, 22041, 676, 519, 4457, 563, 4322, 5749, 1405, 519, 1152, 24242, 6436, 1818, 538, 30030, 1318, 1631, 269, 589, 5181, 623, 1168, 3194, 4741, 5619, 1336, 602, 811, 982, 3368, 540, 4892, 723, 4862, 693, 2547, 513, 2370, 827, 1627, 2304, 517, 267, 519, 7294, 1357, 540, 605, 6874, 337, 2794, 24242, 6436, 602, 12090, 593, 519, 5048, 4604, 476, 275, 2559, 269, 769, 5437, 267, 1079, 10457, 945, 21350, 5367, 1489, 585, 1627, 2304, 517, 512, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 14503, 520, 3047, 7869, 257, 607, 851, 540, 834, 24719, 13316, 1315, 3117, 335, 16820, 28636, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 7170, 281, 5545, 1977, 2902, 618, 15881, 2510, 281, 12267, 2334, 10261, 1677, 2142, 570, 1245, 692, 5970, 596, 2479, 4862, 540, 513, 942, 950, 1004, 781, 2729, 941, 5828, 26700, 1524, 1317, 540, 1141, 789, 3357, 689, 286, 901, 5949, 1282, 2622, 2782, 4083, 538, 519, 2136, 2276, 547, 1004, 540, 5545, 16350, 269, 4634, 1498, 789, 941, 1977, 4961, 610, 3656, 7264, 267, 789, 941, 7142, 547, 4734, 741, 5321, 543, 979, 547, 2027, 13122, 1572, 2028, 618, 13122, 269, 898, 729, 513, 2352, 543, 15490, 1995, 267, 855, 1082, 540, 891, 2043, 3838, 741, 2984, 998, 2835, 543, 824, 12591, 269, 1452, 6386, 948, 721, 1174, 1018, 5949, 543, 875, 621, 4299, 873, 780, 5331, 24386, 1152, 1018, 596, 1223, 4163, 543, 6028, 707, 1753, 3297, 269, 901, 568, 1018, 5215, 540, 5545, 4892, 1185, 547, 798, 1282, 2622, 2782, 4083, 269, 2991, 3567, 16091, 23421, 23320, 538, 16127, 267, 1082, 4892, 2968, 19035, 540, 4896, 945, 6743, 899, 789, 1522, 581, 689, 3567, 269, 17652, 267, 519, 2229, 4956, 547, 6494, 782, 1004, 540, 5545, 22693, 630, 16838, 952, 789, 941, 4535, 538, 3013, 264, 547, 2661, 538, 9678, 13122, 780, 4322, 2028, 618, 13122, 941, 1419, 4092, 538, 6552, 2127, 267, 899, 24301, 610, 2220, 10102, 269, 19198, 5030, 538, 1507, 11623, 267, 3006, 1256, 7504, 588, 8712, 267, 543, 3838, 8602, 7741, 543, 3190, 31508, 609, 7366, 540, 1866, 269, 1703, 729, 2370, 7834, 267, 543, 2175, 941, 4057, 269, 6736, 891, 23434, 267, 1082, 5545, 4892, 1336, 2081, 547, 1832, 741, 14326, 909, 676, 2870, 1148, 267, 2575, 267, 543, 8108, 2950, 1369, 519, 13122, 780, 3080, 3532, 1259, 5545, 4892, 3838, 741, 2833, 729, 998, 3332, 269, 7734, 971, 607, 834, 293, 732, 6202, 547, 2494, 345, 534, 541, 257, 676, 14639, 928, 654, 752, 1846, 25431, 20279, 543, 6276, 667, 269, 20279, 267, 543, 834, 763, 4750, 540, 5484, 772, 577, 5866, 257, 676, 31550, 9324, 28086, 2709, 1350, 31663, 525, 883, 1272, 3330, 519, 13122, 269, 7335, 891, 6386, 2636, 721, 547, 1294, 519, 2591, 267, 2295, 19874, 267, 543, 6043, 540, 1346, 945, 28815, 2028, 618, 269, 1284, 666, 1451, 3407, 4245, 827, 14882, 267, 4250, 267, 543, 519, 2956, 540, 7555, 909, 585, 5126, 780, 8448, 5830, 8359, 1114, 12043, 547, 2995, 741, 2984, 269, 1280, 1383, 267, 834, 14399, 540, 5440, 1794, 257, 676, 7812, 744, 269, 570, 18365, 749, 8843, 20250, 6589, 689, 1453, 2713, 538, 519, 5440, 1794, 3786, 538, 18096, 269, 20551, 899, 3687, 2946, 21411, 889, 334, 2813, 3308, 6386, 267, 1210, 12383, 547, 6655, 519, 3232, 9620, 543, 4664, 4810, 676, 954, 928, 525, 269, 4173, 1433, 267, 834, 290, 527, 714, 523, 476, 15793, 2568, 2437, 3091, 513, 2189, 5133, 593, 1272, 538, 18000, 1721, 534, 13909, 4741, 543, 5440, 1794, 4039, 6327, 4741, 780, 2005, 781, 1898, 547, 2263, 1585, 5339, 10070, 547, 9787, 519, 2407, 1764, 540, 519, 5545, 1977, 2028, 618, 269, 1635, 3257, 865, 267, 649, 8956, 519, 8823, 540, 1346, 945, 4682, 998, 713, 4101, 1974, 543, 7618, 6000, 547, 1796, 1996, 7130, 543, 21440, 780, 9961, 1686, 267, 1004, 3068, 7965, 543, 9465, 269, 8616, 267, 2542, 827, 891, 2833, 2337, 721, 1332, 6568, 543, 1620, 269, 1306, 596, 5490, 4514, 883, 5545, 1977, 2028, 618, 6386, 267, 1589, 827, 519, 1379, 540, 9423, 543, 922, 1909, 538, 5935, 938, 5380, 543, 2418, 269, 5457, 267, 3025, 814, 513, 1650, 4502, 6217, 11652, 4687, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 24038, 568, 4413, 335, 8215, 538, 713, 5037, 269, 4746, 6148, 2015, 4758, 519, 3593, 3817, 585, 1433, 16287, 610, 693, 2547, 513, 1259, 547, 5031, 1271, 3877, 789, 949, 1265, 2556, 547, 946, 2663, 563, 6865, 294, 267, 798, 1022, 540, 721, 2965, 917, 945, 1500, 713, 3239, 286, 4460, 11875, 328, 2714, 543, 594, 723, 1044, 7234, 585, 1296, 9462, 30904, 634, 23678, 591, 568, 3627, 18039, 717, 3796, 282, 519, 7376, 729, 9710, 26559, 645, 622, 2006, 269, 2311, 1018, 1448, 798, 594, 1205, 930, 2648, 585, 759, 584, 5550, 532, 713, 3239, 9462, 30904, 454, 3383, 4432, 12578, 29807, 976, 568, 827, 547, 2097, 856, 609, 513, 2462, 543, 1271, 1433, 593, 519, 918, 298, 298, 1107, 3810, 4363, 3168, 693, 1200, 960, 1354, 4881, 713, 269, 2701, 10416, 5267, 972, 729, 1100, 737, 17427, 2336, 10498, 267, 945, 1197, 1196, 1080, 713, 3184, 949, 1616, 547, 10544, 1261, 1430, 30532, 27672, 517, 779, 4639, 689, 2561, 558, 16201, 343, 543, 1205, 930, 4639, 538, 972, 269, 1358, 949, 849, 1616, 547, 1331, 1945, 593, 519, 4473, 540, 8257, 8637, 543, 4683, 7082, 16851, 282, 543, 6368, 267, 585, 519, 2648, 540, 23920, 4620, 324, 267, 666, 667, 342, 697, 28239, 344, 267, 5835, 8611, 267, 543, 595, 13831, 1205, 538, 1934, 269, 25175, 945, 14509, 14786, 689, 519, 476, 6942, 271, 338, 6487, 602, 1346, 616, 519, 2462, 476, 274, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 30153, 1977, 2902, 618, 15881, 2510, 257, 607, 851, 540, 834, 299, 25604, 14473, 23333, 28421, 16739, 1315, 1977, 1315, 7489, 1977, 1299, 7414, 29474, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 31946, 322, 984, 5735, 281, 634, 10555, 5678, 540, 590, 1872, 1513, 538, 6481, 4437, 17190, 692, 15916, 972, 267, 2104, 3744, 256, 5620, 596, 2479, 2219, 827, 782, 519, 1114, 6675, 602, 960, 1927, 3330, 707, 1560, 286, 1703, 616, 5946, 267, 9600, 267, 5027, 267, 543, 1256, 6263, 3889, 1572, 11950, 256, 4653, 267, 649, 2811, 2469, 547, 4685, 883, 519, 1158, 540, 891, 4241, 19346, 6675, 1765, 21406, 25026, 753, 11652, 1451, 827, 741, 1909, 538, 938, 4703, 998, 513, 2361, 1572, 25026, 984, 5735, 780, 5331, 6972, 883, 513, 14297, 19209, 1141, 1453, 5968, 1210, 10477, 17514, 3079, 540, 6340, 269, 3962, 9206, 4564, 2189, 1344, 899, 4664, 267, 3527, 267, 610, 13668, 269, 901, 19209, 2407, 540, 530, 3058, 17514, 20998, 1018, 4523, 3330, 938, 2281, 282, 1152, 1934, 267, 621, 781, 9848, 4754, 1412, 4148, 4711, 10086, 849, 1634, 607, 14836, 267, 11488, 6835, 1063, 2281, 269, 1452, 7636, 7391, 1852, 1082, 4105, 3157, 538, 938, 4703, 267, 971, 607, 8165, 1055, 10108, 543, 4543, 721, 1332, 780, 3086, 1577, 803, 6338, 596, 547, 2576, 945, 814, 6131, 741, 1272, 547, 4974, 713, 6456, 1893, 540, 14836, 269, 3220, 269, 8176, 17435, 527, 549, 742, 568, 513, 7548, 543, 513, 12021, 4274, 538, 25026, 984, 5735, 269, 1261, 22939, 1169, 1554, 12423, 811, 827, 891, 1898, 4006, 6786, 865, 646, 666, 948, 7189, 1020, 1732, 5574, 585, 1585, 3676, 267, 1519, 2860, 269, 1215, 3579, 568, 602, 31841, 3383, 1946, 798, 14836, 2339, 950, 621, 2501, 547, 2564, 1979, 17190, 286, 4270, 267, 789, 3310, 1896, 2565, 3344, 540, 1480, 1072, 676, 9013, 2792, 1851, 2281, 269, 13018, 267, 1079, 2010, 540, 2281, 4324, 7494, 689, 9848, 4754, 4205, 281, 4761, 2281, 543, 2860, 2281, 269, 2913, 781, 2263, 1312, 2127, 2417, 780, 1262, 294, 569, 322, 753, 1299, 21210, 19204, 5093, 3776, 4761, 1062, 12346, 8185, 593, 2500, 2792, 1063, 922, 2281, 269, 1879, 28164, 899, 4551, 610, 8290, 4283, 938, 4703, 267, 938, 4761, 2281, 1590, 3533, 11282, 6114, 1996, 873, 269, 2871, 612, 875, 789, 798, 602, 286, 962, 788, 267, 3842, 9848, 4754, 15202, 256, 1635, 19249, 519, 1259, 2281, 4159, 25026, 753, 267, 938, 4703, 2327, 1697, 4761, 3210 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 330, 2483, 15542, 528, 476, 273, 629, 6262, 1673, 11924, 1015, 323, 6262, 1673, 264, 594, 1131, 899, 547, 917, 875, 547, 798, 713, 269, 8729, 269, 630, 322, 1673, 264, 568, 513, 1455, 3815, 267, 865, 596, 7485, 621, 856, 281, 630, 322, 1673, 7565, 273, 629, 1341, 476, 1015, 323, 264, 7937, 267, 1287, 596, 666, 7485, 513, 476, 273, 856, 281, 630, 322, 1673, 7565, 273, 7565, 629, 1341, 476, 276, 323, 264, 8729, 256, 596, 2811, 10950, 8627, 1548, 798, 519, 5022, 1796, 585, 2995, 803, 7711, 594, 786, 2995, 596, 519, 2626, 2483, 6062, 594, 993, 1565, 827, 31527, 28721, 267, 543, 20803, 873, 568, 972, 1022, 3268, 594, 695, 9567, 1246, 950, 20803, 873, 939, 340, 848, 594, 554, 2158, 331, 1399, 1810, 1405, 1174, 256, 7064, 585, 707, 948, 26008, 272, 3689, 540, 782, 596, 1058, 917, 602, 3652, 1827, 519, 594, 16810, 3722, 1062, 269, 594, 1131, 1451, 602, 1062, 2094, 3025, 1775, 1862, 0, 20486, 1496, 19365, 24759, 2639, 10190, 594, 3357, 909, 5087, 543, 519, 4365, 729, 865, 4411, 267, 865, 2915, 19079, 4411, 267, 519, 1101, 1032, 594, 729, 909, 3345, 602, 519, 6705, 1185, 547, 2322, 538, 9252, 3002, 538, 519, 10800, 781, 17987, 547, 1832, 1200, 689, 4758, 4672, 8645, 563, 3963, 267, 621, 3893, 865, 4411, 602, 594, 6836, 547, 2911, 609, 1776, 8284, 543, 950, 649, 8118, 856, 28182, 547, 3717, 519, 1913, 8389, 2763, 909, 543, 12628, 593, 519, 2666, 269, 1684, 596, 917, 649, 1185, 547, 4584, 909, 519, 13792, 1913, 543, 555, 1177, 873, 856, 865, 602, 649, 1223, 1265, 856, 1018, 649, 941, 6031, 547, 1142, 824, 563, 3963, 267, 835, 942, 538, 15740, 621, 3893, 865, 4411, 602, 267, 2523, 1524, 538, 519, 4099, 540, 519, 2749, 267, 5261, 24282, 3893, 1524, 1055, 519, 1283, 540, 4975, 8065, 267, 2322, 1010, 3946, 538, 1010, 22836, 267, 15336, 538, 513, 3075, 32697, 543, 1767, 267, 968, 303, 515, 342, 269, 901, 568, 519, 4411, 652, 1554, 594, 4312, 2938, 538, 1082, 513, 1032, 3034, 10048, 267, 594, 2661, 593, 2290, 25569, 543, 774, 8812, 21017, 9335, 269, 1656, 602, 781, 519, 27162, 4554, 8265, 538, 1715, 3840, 269, 4208, 267, 621, 781, 865, 9157, 602, 782, 519, 666, 2456, 2206, 18369, 269, 1656, 782, 540, 519, 27162, 4554, 8593, 3298, 2661, 593, 835, 1439, 540, 519, 8265, 269, 1656, 267, 2494, 267, 594, 6415, 865, 9157, 594, 723, 547, 2661, 2185, 5195, 2250, 519, 9157, 1439, 563, 2005, 729, 513, 4807, 945, 1175, 3357, 547, 1715, 3840, 689, 10158, 13560, 3162, 856, 538, 519, 2197, 269, 2701, 18423, 538, 513, 6366, 538, 31222, 609, 930, 540, 1200, 11570, 269, 2290, 1554, 789, 2451, 1200, 4805, 538, 519, 2777, 547, 4585, 519, 1453, 269, 17652, 519, 18388, 518, 540, 519, 31945, 2914, 320, 3438, 32131, 269, 901, 2025, 14799, 8118, 519, 31945, 2914, 320, 3438, 7450, 543, 1352, 4862, 513, 5639, 269, 1924, 1352, 22551, 539, 267, 0, 4537, 611, 2717, 1512, 267, 606, 18607, 6131, 547, 7862, 543, 19493, 1143, 267, 729, 4535, 593, 4728, 476, 1240, 267, 476, 5002, 277, 538, 589, 1731, 523, 267, 3162, 10491, 269, 2717, 1512, 21783, 689, 519, 2160, 540, 3162, 10491, 538, 476, 4572, 277, 609, 1010, 645, 2529, 269, 1261, 1287, 13984, 12370, 2160, 1141, 646, 12236, 1010, 26993, 11065, 1421, 607, 1134, 607, 267, 1010, 26993, 8160, 269, 769, 476, 4350, 271, 2717, 1512, 729, 15861, 547, 519, 1715, 3840, 3046, 267, 543, 13736, 1876, 538, 1715, 3840, 4975, 2394, 1010, 2669, 538, 476, 3192, 277, 269, 1261, 849, 6039, 607, 13030, 7022, 540, 519, 1977, 6014, 6837, 543, 607, 28579, 540, 519, 2817, 717, 1478, 940, 7027, 543, 540, 519, 6837, 779, 8189, 593, 4521, 543, 4317, 11059, 269, 769, 1840, 267, 2717, 1512, 729, 8362, 3238, 538, 519, 19364, 3722, 303, 267, 7674, 585, 811, 982, 476, 1789, 1296, 593, 519, 10324, 12233, 540, 519, 3919, 779, 13751, 543, 12409, 16470, 8750, 563, 21691, 1512, 1500, 10423, 1010, 6612, 585, 3540, 2924, 2429, 1010, 1272, 269, 769, 476, 3707, 277, 646, 21991, 3176, 12052, 2160, 779, 2852, 540, 4284, 5974, 543, 31048, 976, 12123, 602, 519, 6280, 779, 23504, 1184, 5806, 3990, 1996, 6014, 543, 12102, 1053, 269, 634, 1533, 540, 1715, 3840, 779, 1360, 1101, 4023, 2069, 2853, 1876, 729, 5293, 1813, 547, 2717, 1512, 779, 3527, 269, 11088, 538, 1715, 3840, 267, 2717, 1512, 10692, 547, 9004, 7292, 17536, 1182, 538, 476, 3707, 279, 950, 646, 4547, 9290, 1996, 519, 27062, 5020, 15928, 7577, 269, 634, 2754, 11262, 606, 19887, 1646, 267, 853, 8500, 1407, 656, 16011, 267, 799, 16957, 569, 5806, 3990, 1996, 17051, 269, 4014, 519, 2539, 5480, 6462, 519, 17181, 540, 17051, 689, 519, 19887, 1646, 543, 519, 10966, 7040, 1131, 711, 5873, 519, 2013, 267, 519, 1977, 6014, 6837, 4797, 922, 5397, 585, 4023, 8027, 4031, 269, 5015, 267, 2717, 1512, 3576, 851, 538, 519, 26832, 5480, 2013, 267, 9466, 642, 269, 8274, 540, 4065, 267, 799, 17515, 519, 3656, 4493, 585, 17478, 538, 17857, 543, 476, 736, 824, 2829, 602, 24451, 5302, 27935, 13460, 269, 1261, 267, 2059, 609, 824, 2818, 540, 519, 1977, 6014, 6837, 267, 19429, 5618, 338, 540, 993, 545, 328, 1225, 23706, 267, 5885, 1053, 685, 2924, 547, 3489, 3160, 2069, 269, 2717, 1512, 5747, 538, 476, 3192, 277, 267, 15068, 676, 1010, 7385, 267, 3807, 710, 29216, 2717, 1512, 269, 3571, 4574, 616, 24428, 693, 519, 1977, 6014, 8466, 5980, 538, 654, 953, 600, 267, 12590, 563, 1103, 1010, 2232, 547, 519, 19364, 3722, 303, 267, 2717, 1512, 5956, 609, 513, 11495, 6252, 1063, 7642, 543, 17051, 281, 741, 7104, 968, 19789, 802, 547, 5191, 1848, 3245, 3504, 5527, 547, 2413, 6377, 27293, 267, 2717, 1512, 585, 2471, 513, 3532, 2631, 540, 8446, 1063, 519, 1079, 2516, 538, 1010, 1360, 1101, 5037, 269, 2717, 1512, 849, 11363, 519, 1977, 6014, 6837, 779, 3661, 602, 3020, 15698, 543, 9111, 666, 2291, 1152, 950, 782, 4961, 3180, 3160, 2924, 269, 2755, 3257, 865, 267, 646, 849, 14753, 856, 1996, 1533, 9777, 2137, 602, 13986, 547, 14020, 519, 19364, 3722, 303, 779, 3646, 547, 3895, 5610, 267, 4481, 519, 2924, 547, 4082, 267, 10198, 267, 543, 7681, 269, 2717, 1512, 1028, 999, 1010, 5304, 540, 519, 589, 297, 290, 779, 2178, 1489, 543, 1620, 540, 741, 6560, 585, 3540, 15698, 269, 1261, 1028, 999, 519, 19364, 3722, 303, 602, 6014, 4892, 723, 4810, 519, 2164, 540, 4507, 540, 16563, 593, 11786, 2152, 267, 543, 5176, 782, 616, 8149, 547, 513, 14942, 3609, 3823, 519, 4339, 585, 3540, 2924, 585, 17051, 543, 782, 4892, 269, 0, 9617, 2063, 3018, 513, 1007, 968, 28588, 5608, 25429, 2578, 4768, 328, 476, 1001, 274, 267, 729, 4362, 676, 8241, 23153, 31485, 3627, 1530, 778, 269, 25429, 2578, 4768, 328, 476, 1001, 274, 267, 568, 865, 6505, 267, 602, 621, 666, 1631, 581, 2938, 609, 519, 19448, 3660, 3750, 563, 2691, 649, 1413, 693, 519, 3781, 6607, 267, 1034, 540, 519, 6801, 649, 1294, 616, 10877, 269, 1452, 6801, 616, 11999, 21384, 540, 7250, 543, 26775, 3154, 267, 4371, 1927, 676, 519, 3196, 540, 8904, 269, 2311, 741, 23780, 267, 7250, 568, 535, 4310, 883, 26775, 3842, 6046, 12760, 267, 543, 519, 1648, 5950, 689, 6046, 12760, 666, 1379, 6801, 585, 17542, 540, 1296, 563, 4913, 267, 25429, 2578, 4768, 328, 476, 1001, 274, 568, 513, 1360, 1114, 28458, 547, 519, 6093, 5182, 610, 938, 6129, 269, 1656, 621, 4465, 1406, 581, 16304, 1472, 585, 1279, 269, 0, 300, 21036, 918, 3518, 327, 9253, 320, 269, 590, 836, 600, 269, 715, 15676, 19759, 327, 639, 269, 654, 11208, 269, 717, 5190, 269, 9576, 24872, 269, 4210, 867, 563, 19328, 269, 31579, 541, 21423, 1533, 269, 16589, 21171, 269, 10067, 320, 918, 3518, 327, 9253, 320, 269, 9576, 8602, 593, 5178, 656, 7754, 577, 9564, 10965, 534, 630, 325, 604, 628, 1554, 540, 519, 1007, 7599, 1040, 634, 9161, 834, 305, 5819, 24872, 257, 568, 31764, 547, 6474, 606, 513, 22273, 5534, 19236, 12972, 267, 950, 21071, 2161, 5289, 1648, 8928, 547, 3618, 269, 715, 15676, 630, 333, 8898, 264, 19759, 327, 639, 8661, 741, 7772, 676, 2921, 513, 16702, 693, 590, 836, 600, 543, 10847, 532, 519, 5757, 717, 5190, 269, 589, 1906, 715, 15676, 19759, 327, 639, 723, 741, 4703, 1159, 18193, 609, 607, 1127, 269, 1358, 941, 2899, 21847, 267, 602, 781, 1946, 789, 1869, 4163, 9604, 267, 971, 607, 2558, 880, 3121, 609, 667, 636, 549, 334, 543, 4210, 867, 269, 589, 959, 880, 3121, 568, 513, 1826, 540, 4095, 959, 1211, 267, 4122, 1031, 607, 513, 9699, 3909, 3090, 269, 634, 2262, 1797, 834, 22764, 27490, 257, 538, 16130, 269, 769, 3127, 267, 519, 2165, 1419, 4016, 547, 513, 2110, 11804, 1194, 14049, 799, 949, 581, 15841, 593, 513, 546, 7701, 610, 5234, 269, 634, 959, 880, 3121, 568, 29937, 539, 676, 519, 9699, 2696, 32251, 269, 667, 636, 549, 334, 568, 4440, 519, 9510, 543, 2757, 1106, 540, 25576, 15664, 6293, 538, 3127, 269, 898, 568, 1034, 4122, 1634, 585, 922, 7681, 609, 7083, 32251, 269, 634, 18156, 568, 519, 14049, 540, 918, 8932, 945, 568, 519, 9699, 15831, 2404, 609, 16882, 269, 634, 918, 3518, 327, 9253, 320, 267, 5156, 547, 581, 519, 4102, 3909, 11018, 568, 4371, 1169, 476, 1321, 1296, 593, 519, 8492, 540, 519, 1412, 306, 836, 600, 262, 268, 519, 1476, 26475, 540, 519, 13411, 8933, 717, 18553, 267, 26232, 10044, 543, 519, 26704, 7203, 553, 342, 10620, 269, 769, 476, 1001, 274, 267, 621, 568, 6059, 602, 5176, 476, 3199, 2929, 25058, 525, 3576, 513, 8602, 538, 519, 1216, 540, 519, 13411, 5757, 717, 5190, 269, 634, 3661, 568, 602, 28876, 543, 2921, 513, 13411, 16702, 786, 11547, 543, 1863, 835, 689, 782, 519, 2250, 21359, 267, 1205, 20778, 543, 533, 2314, 519, 1259, 585, 631, 758, 3333, 320, 630, 26074, 19802, 689, 519, 4783, 540, 5020, 267, 12280, 543, 1234, 19689, 1040, 24872, 532, 538, 519, 13411, 7297, 540, 717, 18553, 568, 5156, 547, 581, 1034, 513, 22273, 5534, 693, 519, 942, 540, 918, 3518, 327, 9253, 320, 267, 1317, 519, 1216, 568, 9901, 609, 2318, 7067, 2360, 543, 8476, 609, 13590, 2234, 9911, 540, 519, 6129, 267, 9855, 543, 4236, 653, 3438, 269, 769, 18420, 267, 19759, 16852, 630, 16591, 282, 1434, 812, 267, 13411, 812, 264, 18575, 606, 10841, 2045, 267, 29595, 31494, 269, 19759, 327, 639, 616, 521, 1415, 14515, 267, 610, 15646, 9629, 919, 267, 945, 723, 2451, 3297, 782, 1570, 27589, 269, 1358, 616, 15646, 1735, 6203, 945, 723, 6074, 547, 2661, 513, 1272, 6306, 689, 610, 593, 519, 8728, 540, 1124, 773, 454, 21026, 5607, 303, 2001, 698, 22563, 19600, 2869, 3770, 640, 322, 11857, 516, 5554, 542, 17304, 603, 342, 832, 4721, 659, 1042, 761, 783, 335, 559, 15317, 338, 294, 5190, 327, 1952, 2096, 523, 18684, 271, 1296, 327, 1343, 7666, 344, 3835, 532, 331, 604, 523, 1155, 719, 2515, 1410, 10262, 719, 21830, 701, 864, 995, 15161, 11825, 2632, 6320, 332, 1446, 611, 738, 576, 30503, 1674, 576, 516, 3000, 658, 576, 516, 3000, 344, 325, 652, 2526, 327, 8114, 327, 8114, 1143, 16058, 785, 1014, 785, 3394, 537, 14259, 1288, 335, 559, 15317, 720, 5460, 639, 328, 770, 31742, 1120, 16104, 1415, 553, 4593, 2396, 321, 3497, 333, 644, 640, 322, 992, 323, 326, 1430, 532, 28236, 21346, 332, 13293, 20123, 2595, 1122, 15843, 615, 332, 1080, 11989, 327, 643, 23042, 731, 17840, 3832, 518, 995, 2183, 7257, 325, 2426, 337, 1231, 327, 1952, 1465, 2809, 2809, 21459, 2795, 680, 904, 332, 3796, 680, 553, 28411, 16852, 828, 656, 684, 6135, 11712, 680, 550, 3814, 629, 1495, 766, 325, 5419, 743, 1054, 1042, 338, 7219, 4248, 2444, 2045, 534, 10532, 32024, 326, 1633, 8234, 16443, 2193, 6716, 5155, 7371, 889, 923, 322, 8527, 636, 11687, 529, 1755, 2102, 1388, 560, 6729, 10964, 569, 338, 15967, 2084, 1245, 1619, 2779, 328, 267, 689, 0, 3080, 20868, 1884, 5267, 4503, 1158, 540, 3504, 17605, 2713, 11895, 454, 272, 288, 1007, 1884, 4362, 538, 519, 8835, 5654, 865, 9642, 602, 3744, 616, 7446, 5824, 4408, 602, 1404, 2685, 2303, 519, 13442, 2501, 689, 9370, 563, 21953, 519, 2249, 6742, 658, 529, 646, 675, 6390, 1223, 948, 27682, 519, 1686, 540, 17605, 593, 3047, 563, 9616 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 5334, 3263, 815, 476, 1911, 271, 692, 11907, 815, 5286, 20179, 269, 7538, 263, 11743, 267, 31901, 318, 22563, 267, 1003, 5334, 3263, 994, 7884, 1103, 519, 3009, 1657, 267, 2387, 11743, 319, 568, 519, 4099, 540, 519, 3892, 267, 2387, 560, 323, 318, 22563, 319, 568, 519, 3262, 267, 543, 2387, 11133, 5334, 3263, 319, 568, 519, 1297, 540, 1239, 2798, 649, 1616, 547, 5352, 780, 3086, 267, 1577, 781, 9192, 891, 1079, 2035, 543, 4019, 873, 547, 513, 811, 1950, 1966, 281, 7508, 1239, 791, 16615, 780, 2162, 31932, 4578, 1955, 1584, 566, 692, 29309, 532, 1239, 568, 513, 1455, 1966, 538, 1483, 8996, 14449, 269, 898, 666, 2049, 1813, 547, 1585, 4128, 267, 971, 607, 1480, 5470, 267, 3937, 5821, 267, 610, 7834, 4145, 269, 2290, 1259, 547, 6023, 7508, 1239, 568, 676, 1210, 513, 4480, 1572, 791, 16615, 267, 799, 3322, 11423, 538, 519, 7508, 2418, 609, 6059, 3283, 780, 1103, 713, 3296, 267, 649, 786, 946, 27240, 1304, 2677, 1417, 543, 11525, 8494, 2065, 4578, 19087, 547, 791, 1393, 7508, 1239, 538, 513, 10471, 269, 634, 2856, 568, 547, 1451, 519, 6724, 540, 513, 21714, 3892, 689, 519, 2139, 1239, 543, 1287, 946, 1346, 6724, 547, 5352, 1007, 1239, 2798, 602, 6445, 538, 519, 7508, 2418, 780, 2080, 781, 519, 5124, 3009, 602, 28352, 713, 2856, 1384, 3499, 7090, 454, 5814, 11885, 607, 5286, 692, 258, 2637, 4733, 513, 4351, 10471, 609, 7508, 2418, 454, 335, 815, 476, 273, 476, 1948, 1297, 540, 2934, 454, 333, 815, 476, 1911, 476, 1948, 1297, 540, 5439, 454, 332, 1170, 532, 7272, 815, 476, 271, 269, 273, 476, 1948, 8167, 540, 7508, 2418, 454, 330, 815, 476, 272, 476, 1948, 1297, 540, 24353, 7516, 692, 311, 815, 5286, 20179, 269, 7538, 4433, 1125, 14352, 335, 267, 562, 4917, 332, 1170, 532, 8548, 2532, 815, 5286, 20179, 26716, 4069, 8443, 271, 267, 476, 272, 3910, 2450, 14352, 335, 267, 562, 1070, 533, 17342, 272, 910, 7508, 7272, 267, 7508, 7272, 316, 1040, 770, 4286, 6357, 944, 994, 311, 314, 332, 1170, 532, 8548, 2532, 316, 815, 5286, 8542, 534, 692, 258, 19461, 1125, 6724, 454, 310, 815, 5286, 20179, 269, 7538, 4433, 1125, 14352, 335, 267, 737, 4917, 18406, 273, 815, 476, 273, 269, 271, 692, 258, 16294, 519, 27240, 1304, 2677, 1417, 1599, 454, 3698, 1178, 1091, 11583, 267, 654, 267, 29178, 273, 2187, 825, 1948, 30770, 519, 27080, 540, 519, 1942, 1599, 609, 2463, 547, 654, 543, 29178, 273, 454, 825, 1780, 692, 258, 16294, 519, 8298, 6441, 1731, 9685, 1599, 454, 3698, 2845, 9078, 1731, 9685, 11583, 267, 654, 267, 29178, 273, 2187, 825, 1948, 30770, 519, 2845, 2000, 1731, 9685, 540, 519, 1239, 2016, 519, 6724, 454, 825, 1780, 692, 258, 3399, 27240, 1304, 2677, 1417, 454, 333, 318, 3438, 815, 476, 6110, 454, 331, 337, 318, 310, 815, 476, 271, 269, 4905, 454, 331, 337, 5334, 7950, 273, 815, 476, 272, 324, 268, 274, 454, 961, 4671, 15869, 815, 11713, 1721, 12055, 19571, 538, 2039, 3799, 318, 3438, 2187, 825, 654, 14682, 2784, 267, 29178, 273, 14682, 2784, 815, 1178, 1091, 11583, 267, 654, 267, 29178, 273, 994, 825, 654, 6834, 561, 337, 318, 310, 2608, 654, 14682, 2784, 454, 825, 29178, 273, 6834, 561, 337, 5334, 7950, 273, 2608, 29178, 273, 14682, 2784, 454, 825, 952, 12055, 19571, 4939, 476, 736, 2652, 476, 271, 912, 1038, 26270, 815, 2845, 9078, 1731, 9685, 11583, 267, 654, 267, 29178, 273, 994, 1038, 1820, 2891, 296, 614, 281, 2715, 9574, 2845, 2000, 1731, 9685, 281, 15079, 2668, 8971, 263, 3438, 19571, 267, 26270, 4917, 1038, 26270, 4671, 15869, 6910, 263, 961, 2020, 258, 2637, 4733, 1007, 1239, 689, 2203, 454, 345, 338, 815, 5286, 20179, 269, 7538, 263, 271, 267, 476, 272, 267, 2450, 14352, 330, 267, 562, 4917, 311, 318, 10090, 730, 815, 654, 7711, 1990, 338, 1341, 5286, 20179, 269, 7538, 263, 271, 267, 5286, 28460, 4433, 7950, 273, 1070, 2450, 14352, 335, 267, 562, 4917, 7884, 1103, 519, 3009, 1657, 267, 649, 1101, 5352, 513, 4351, 10471, 609, 7508, 2418, 269, 3973, 267, 649, 3355, 1125, 519, 6724, 540, 519, 21714, 3892, 630, 319, 310, 319, 543, 2387, 18406, 273, 319, 264, 543, 5581, 519, 27240, 1304, 2677, 1417, 543, 8298, 6441, 1731, 9685, 3252, 780, 9202, 267, 649, 2196, 27240, 1304, 2677, 1417, 585, 513, 6378, 1297, 540, 23200, 267, 21130, 519, 6724, 693, 1142, 1900, 269, 2991, 1169, 476, 736, 23200, 267, 649, 12337, 543, 1820, 519, 2845, 2000, 1731, 9685, 540, 519, 1239, 2016, 519, 1699, 6724, 780, 7661, 267, 649, 946, 519, 4121, 6724, 547, 5352, 1007, 1239, 2798, 602, 6445, 538, 519, 7508, 2418, 780, 2162, 10390, 692, 1103, 713, 1770, 267, 649, 8268, 1079, 1271, 2035, 538, 3684, 1565, 281, 27240, 1304, 2677, 1417, 543, 11525, 8494, 2065, 4578, 19087, 269, 1284, 4121, 875, 547, 946, 27240, 1304, 2677, 1417, 547, 1265, 519, 1655, 2009, 3070, 585, 513, 1966, 543, 875, 547, 5352, 1007, 1239, 5439, 1210, 513, 21714, 3892, 269, 1284, 1287, 4294, 891, 2035, 547, 513, 1483, 8996, 1966, 281, 7508, 1239, 791, 16615, 780, 2171, 4126, 713, 1770, 814, 2620, 2989, 707, 1620, 540, 891, 2035, 543, 6273, 596, 547, 2263, 873, 2417, 269, 5457, 267, 2259, 568, 1883, 547, 13215, 1022, 1007, 5578, 267, 865, 1810, 1405, 581, 12922, 547, 4603, 609, 1114, 14449, 543, 2042, 269, 6153, 9939, 256, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 7508, 7272, 3910, 2450, 14352, 335, 267, 562, 994, 825, 15426, 770, 4286, 6357, 944, 994, 825, 2473, 314, 332, 1170, 532, 8548, 2532, 316, 815, 5286, 8542, 534, 692, 825, 1948, 19461, 1125, 6724, 454, 825, 654, 815, 5286, 20179, 269, 7538, 4433, 1125, 14352, 335, 267, 737, 4917, 825, 29178, 273, 815, 476, 273, 269, 271, 692, 825, 1948, 3399, 717, 291, 454, 825, 562, 318, 3438, 815, 476, 6110, 454, 825, 561, 337, 318, 310, 815, 476, 271, 269, 4905, 454, 825, 561, 337, 5334, 7950, 273, 815, 476, 272, 324, 268, 274, 454, 825, 26270, 4671, 15869, 815, 11713, 825, 585, 12055, 19571, 538, 2039, 3799, 318, 3438, 2187, 1038, 654, 14682, 2784, 267, 29178, 273, 14682, 2784, 815, 1178, 1091, 11583, 267, 654, 267, 29178, 273, 994, 1038, 654, 6834, 561, 337, 318, 310, 2608, 654, 14682, 2784, 454, 1038, 29178, 273, 6834, 561, 337, 5334, 7950, 273, 2608, 29178, 273, 14682, 2784, 454, 1038, 1948, 1820, 4433, 7950, 273, 994, 1038, 952, 12055, 19571, 4939, 476, 736, 2652, 476, 271, 912, 2018, 26270, 815, 2845, 9078, 1731, 9685, 11583, 267, 654, 267, 29178, 273, 994, 2018, 1820, 2891, 296, 614, 281, 2715, 9574, 2845, 2000, 1731, 9685, 281, 15079, 2668, 8971, 263, 3438, 19571, 267, 26270, 4917, 2018, 26270, 4671, 15869, 6910, 263, 961, 2020, 825, 1948, 12301, 19502, 263, 961, 4671, 15869, 994, 825, 1948, 12301, 20481, 10797, 825, 12361, 2637, 4733, 1007, 1239, 689, 2203, 454, 825, 1990, 338, 815, 5286, 20179, 269, 7538, 263, 271, 267, 476, 272, 267, 2450, 14352, 330, 267, 562, 4917, 825, 2473, 318, 10090, 730, 815, 654, 7711, 1990, 338, 1341, 5286, 20179, 269, 7538, 263, 271, 267, 5286, 28460, 4433, 7950, 273, 1070, 2450, 14352, 335, 267, 562, 11723, 825, 12301, 16553, 7120, 263, 272, 267, 562, 318, 30831, 267, 13797, 1341, 476, 273, 994, 825, 12301, 31892, 2660, 11583, 318, 10090, 730, 314, 271, 267, 2433, 3910, 2473, 318, 10090, 730, 314, 272, 267, 2433, 7481, 825, 12301, 26644, 2891, 17653, 730, 1239, 14826, 24001, 7508, 2668, 8971, 9852, 1170, 532, 7272, 4917, 10823, 20481, 30800, 5814, 28258, 27219, 692, 760, 27219, 15630, 4671, 15869, 4590, 8199, 2237, 606, 3573, 543, 2143, 1837, 1770, 609, 19900, 1257, 543, 3009, 12612, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 1100, 1991, 1702, 540, 519, 1641, 269, 634, 1837, 1058, 3895, 7744, 543, 20201, 1983, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269, 0, 7170, 281, 4197, 16844, 543, 29621, 281, 589, 2160, 781, 8758, 618, 692, 5629, 2390, 513, 942, 267, 972, 729, 513, 2027, 1747, 1572, 519, 2160, 540, 18096, 269, 901, 3884, 1405, 1175, 1022, 8723, 6280, 282, 621, 781, 513, 1747, 1141, 1004, 689, 782, 15211, 540, 1272, 2097, 1927, 547, 1451, 543, 1332, 269, 1809, 899, 1022, 824, 9872, 267, 519, 2160, 540, 18096, 7691, 602, 789, 1185, 930, 960, 547, 798, 950, 621, 3357, 547, 1818, 2386, 3025, 5433, 10950, 543, 3769, 593, 741, 13464, 269, 2334, 781, 1946, 789, 2813, 1945, 5863, 910, 519, 4741, 585, 23532, 9906, 16457, 630, 528, 834, 290, 2464, 288, 257, 6393, 3086, 596, 1522, 4898, 267, 1018, 1281, 713, 723, 547, 798, 609, 803, 286, 4270, 267, 4952, 952, 596, 4682, 547, 513, 1153, 1141, 1034, 3214, 6743, 1114, 982, 596, 267, 12038, 1776, 1893, 693, 1753, 267, 610, 9976, 14812, 596, 4769, 1405, 917, 827, 269, 1411, 1522, 1745, 856, 540, 1747, 610, 2451, 856, 3006, 267, 1318, 286, 2311, 9945, 267, 1053, 3068, 2147, 2591, 855, 1419, 593, 513, 1454, 3677, 4336, 269, 1677, 948, 891, 1053, 8011, 543, 8853, 267, 7740, 899, 595, 2464, 288, 941, 2813, 2439, 12988, 538, 519, 3735, 476, 3422, 271, 338, 267, 595, 2464, 288, 3323, 7674, 1053, 540, 2681, 945, 5185, 7496, 1813, 547, 31716, 267, 3668, 540, 6041, 267, 543, 13385, 1489, 1949, 269, 6056, 540, 873, 607, 27568, 8165, 1996, 17181, 543, 4180, 14619, 585, 782, 269, 3683, 942, 267, 811, 543, 811, 1053, 689, 3309, 10080, 3459, 11504, 2852, 267, 799, 1500, 519, 6280, 8275, 602, 789, 2877, 547, 1900, 909, 741, 3014, 780, 9213, 267, 595, 2464, 288, 6499, 547, 1831, 513, 6280, 17253, 4099, 23695, 547, 1256, 811, 2516, 971, 607, 1346, 7114, 607, 3979, 1977, 267, 7489, 1977, 267, 7414, 29474, 267, 5824, 343, 267, 1977, 4095, 267, 6404, 268, 15869, 267, 543, 11806, 266, 269, 1635, 3257, 865, 267, 789, 2832, 547, 1711, 513, 2922, 2230, 585, 1169, 2875, 267, 1100, 2339, 945, 789, 616, 610, 1141, 789, 2097, 689, 780, 3719, 7227, 1107, 1577, 781, 2736, 1524, 930, 2462, 1913, 1934, 1384, 265, 24054, 281, 10435, 2386, 3025, 814, 1569, 547, 519, 1482, 3255, 543, 2200, 267, 7488, 540, 741, 5198, 267, 4008, 267, 610, 4282, 563, 265, 16844, 281, 11109, 513, 3099, 540, 1004, 609, 2189, 2833, 267, 5380, 267, 543, 4529, 1369, 513, 1895, 610, 2146, 563, 265, 29621, 281, 12861, 606, 1604, 1141, 3025, 7959, 20888, 267, 12595, 267, 543, 851, 540, 519, 1895, 780, 3383, 1946, 568, 713, 1271, 585, 513, 6280, 286, 11822, 256, 1879, 1053, 1294, 2933, 10630, 538, 741, 1565, 5054, 267, 789, 1685, 1732, 27268, 543, 13948, 269, 5994, 2348, 2828, 945, 2671, 707, 5389, 267, 1426, 267, 543, 2984, 1107, 9327, 1405, 602, 1118, 2469, 547, 1153, 811, 1187, 2496, 2414, 3035, 713, 3804, 267, 1082, 5100, 11570, 693, 519, 2160, 540, 18096, 616, 2324, 2182, 3297, 519, 10207, 269, 1358, 4866, 547, 1114, 6887, 899, 2875, 12602, 267, 27350, 2359, 267, 15938, 2090, 267, 543, 1585, 12621, 269, 8625, 267, 789, 1106, 835, 2462, 27805, 6131, 547, 5885, 1142, 2875, 543, 4543, 873, 21707, 1282, 741, 942, 693, 519, 6280, 780, 4517, 7058, 1018, 286, 2290, 1554, 267, 9358, 1223, 581, 851, 540, 713, 6909, 3460, 1932, 256, 6787, 596, 7390, 519, 2160, 540, 18096, 610, 1022, 824, 2362, 2069, 9872, 267, 1620, 519, 2956, 540, 4763, 543, 10014, 786, 2141, 4324, 596, 543, 1866, 1472, 596, 269, 1924, 1832, 1565, 267, 14120, 3604, 267, 543, 8508, 1007, 17052, 1317, 267, 1310, 782, 267, 938, 1158, 3587, 513, 17321, 1747 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 23219, 256, 5412, 476, 278, 628, 267, 476, 3707, 272, 267, 513, 4266, 602, 786, 2661, 538, 1102, 18081, 7498, 289, 4361, 7033, 5202, 270, 12472, 540, 661, 11445, 11135, 7615, 270, 5522, 664, 912, 6977, 272, 281, 661, 11445, 12197, 11262, 676, 519, 22963, 9576, 7731, 454, 5908, 275, 281, 12794, 685, 1446, 548, 685, 320, 779, 2034, 7385, 267, 1323, 12818, 807, 2549, 4141, 267, 23339, 12794, 685, 1446, 548, 685, 320, 779, 2244, 547, 3627, 670, 269, 595, 2292, 563, 290, 2292, 6896, 3959, 543, 4408, 568, 12968, 537, 2993, 25625, 681, 21123, 543, 3096, 2244, 585, 13520, 15209, 267, 14680, 29170, 11538, 543, 23315, 2504, 563, 6942, 278, 281, 3627, 23720, 267, 513, 31410, 328, 1870, 2006, 16306, 476, 6078, 267, 1822, 14143, 689, 3627, 595, 2292, 585, 1269, 4817, 267, 1822, 563, 6942, 280, 281, 6276, 12891, 2917, 21437, 661, 11445, 779, 1148, 14198, 1134, 563, 6642, 280, 281, 634, 6554, 540, 16127, 585, 519, 744, 24660, 24020, 543, 8092, 630, 3036, 261, 299, 264, 7577, 1178, 2738, 5484, 667, 3739, 5069, 513, 22497, 563, 302, 24660, 681, 9430, 543, 8092, 5713, 607, 3119, 6283, 585, 6683, 543, 5010, 6283, 563, 7628, 24918, 267, 519, 10758, 261, 299, 16456, 2924, 941, 682, 1078, 547, 519, 2475, 2229, 547, 1489, 519, 10136, 543, 2238, 693, 1585, 4108, 13279, 563, 4572, 276, 281, 13108, 4191, 513, 1016, 3161, 609, 10758, 261, 299, 585, 513, 1007, 4779, 1681, 15958, 563, 763, 25755, 2636, 519, 13108, 547, 4020, 519, 4779, 1681, 15958, 2059, 609, 10151, 5656, 563, 4350, 280, 281, 661, 11445, 779, 1148, 14198, 1134, 1309, 5529, 563, 3707, 272, 281, 634, 2361, 513, 661, 11445, 3568, 1507, 8075, 267, 1896, 856, 28265, 902, 267, 513, 4779, 1681, 15958, 267, 543, 513, 2196, 3118, 563, 299, 622, 476, 4350, 271, 338, 267, 7216, 476, 3707, 271, 338, 281, 14716, 540, 13149, 17620, 12476, 661, 11445, 630, 292, 11445, 12197, 264, 538, 17602, 775, 609, 519, 4108, 543, 2804, 7269, 883, 519, 7414, 3148, 547, 4831, 519, 2208, 540, 519, 5545, 7276, 563, 5881, 667, 4488, 476, 3707, 272, 281, 3245, 476, 5881, 275, 271, 268, 1911, 271, 3108, 267, 661, 11445, 12197, 2833, 1614, 6329, 540, 6285, 689, 5545, 8731, 6244, 334, 14742, 563, 4198, 273, 281, 661, 11445, 7720, 1681, 631, 770, 2361, 771, 652, 21521, 563, 1001, 277, 281, 661, 11445, 30577, 11135, 7615, 7396, 538, 519, 2817, 19193, 540, 19866, 23089, 454, 6507, 628, 7788, 15208, 540, 5412, 476, 278, 267, 476, 3707, 272, 1107, 661, 11445, 11135, 7615, 1869, 814, 1082, 3768, 29545, 8978, 4609, 454, 1700, 476, 273, 299, 307, 12253, 548, 715, 639, 345, 330, 22603, 454, 8649, 309, 1115, 16127, 267, 21816, 17621, 0, 294, 269, 595, 269, 589, 564, 3559, 2006, 568, 606, 14787, 689, 22616, 629, 6319, 538, 8050, 269, 4595, 476, 1001, 273, 646, 814, 3370, 519, 12139, 7284, 5451, 660, 5866, 267, 799, 6212, 593, 519, 27705, 6520, 269, 769, 476, 1001, 278, 267, 646, 12703, 569, 9411, 519, 25071, 540, 693, 331, 656, 1108, 609, 1010, 1433, 7284, 5451, 660, 5866, 281, 1714, 556, 3626, 1642, 10153, 341, 18480, 630, 4263, 331, 656, 529, 281, 634, 8003, 540, 744, 4565, 643, 542, 264, 1547, 1261, 4025, 519, 7284, 656, 6756, 3854, 538, 519, 23047, 1127, 693, 519, 5023, 540, 519, 2871, 611, 531, 638, 643, 597, 5211, 538, 25763, 1656, 31647, 807, 563, 10048, 3241, 595, 826, 11663, 568, 513, 5053, 11001, 689, 5842, 331, 1075, 541, 632, 4446, 1090, 20364, 630, 290, 611, 714, 1070, 945, 10645, 538, 476, 1001, 276, 5416, 264, 547, 723, 4857, 519, 4087, 540, 1018, 568, 7654, 513, 4503, 3540, 5314, 538, 519, 1858, 540, 623, 14373, 632, 5487, 13641, 4660, 320, 267, 8720, 606, 1858, 540, 827, 476, 279, 4009, 12919, 630, 276, 4009, 5195, 4700, 22290, 519, 2871, 611, 531, 638, 643, 597, 5211, 538, 8050, 269, 901, 4087, 568, 711, 2484, 689, 519, 1732, 1634, 7284, 656, 529, 11134, 540, 519, 1684, 10722, 3570, 9370, 1127, 563, 5194, 3135, 6357, 264, 10530, 595, 826, 11663, 607, 6031, 2048, 296, 3494, 476, 4200, 2600, 602, 594, 723, 6368, 1336, 519, 4503, 2749, 540, 7284, 656, 529, 17483, 297, 657, 2946, 623, 749, 545, 518, 632, 744, 1087, 879, 6428, 553, 586, 570, 990, 541, 630, 8182, 273, 268, 15757, 280, 1070, 513, 5053, 5856, 267, 729, 4440, 519, 1101, 538, 476, 15757, 274, 547, 2697, 606, 1656, 31647, 1014, 4087, 585, 7284, 656, 529, 267, 3981, 532, 602, 570, 691, 612, 657, 729, 9838, 609, 7284, 656, 529, 543, 602, 621, 729, 4092, 593, 519, 2871, 611, 531, 638, 643, 597, 5211, 538, 7013, 8050, 2282, 1530, 6807, 269, 1261, 9138, 519, 1684, 10722, 3570, 9370, 1127, 267, 1141, 267, 14626, 1211, 958, 267, 918, 6686, 327, 928, 543, 654, 1157, 321, 1245, 339, 1185, 4857, 2666, 2934, 1210, 9682, 2592, 267, 799, 789, 10645, 5330, 539, 609, 18573, 779, 6609, 540, 7284, 656, 529, 563, 4913, 267, 7766, 26995, 972, 4951, 654, 1157, 321, 1245, 339, 779, 2592, 547, 581, 4130, 982, 4397, 610, 941, 689, 519, 7332, 1974, 269, 15845, 585, 570, 691, 612, 657, 610, 7284, 656, 529, 814, 711, 1044, 1336, 269, 0, 288, 3395, 1719, 538, 519, 5010, 1646, 540, 2230, 543, 513, 6444, 991, 585, 1875, 21666, 1648, 2959, 616, 27513, 2590, 513, 556, 1410, 8727, 540, 519, 16548, 585, 10451, 1804, 5666, 540, 5201, 689, 2230, 2861, 3859, 1379, 1949, 269, 25895, 8441, 936, 519, 2250, 476, 736, 1296, 616, 16213, 513, 811, 15028, 1769, 593, 519, 2930, 543, 2804, 23250, 540, 1804, 8397, 2230, 3859, 1379, 267, 543, 4797, 3356, 568, 17191, 269, 1809, 5329, 519, 4674, 3001, 4464, 585, 519, 1985, 1896, 5756, 786, 2154, 3486, 1857, 17376, 10675, 9316, 543, 5092, 676, 1312, 519, 2229, 543, 5010, 9922, 269, 12207, 543, 8030, 723, 4857, 513, 3099, 540, 1761, 3156, 585, 3859, 1379, 538, 2230, 602, 1223, 1831, 954, 574, 6990, 585, 3384, 543, 11766, 532, 519, 2029, 593, 519, 1259, 4724, 606, 10700, 20185, 540, 581, 5446, 3859, 5201, 547, 3047, 563, 4415, 2370, 10178, 11071, 267, 606, 2856, 1101, 6069, 811, 982, 476, 1789, 1296, 3516, 585, 23478, 3047, 609, 10731, 267, 4642, 28003, 5201, 689, 3859, 1648, 568, 1373, 20460, 1243, 734, 21671, 713, 942, 519, 9228, 991, 585, 971, 513, 2707, 568, 3152, 267, 543, 519, 1279, 3856, 19773, 585, 922, 2804, 23250, 568, 811, 15028, 269, 1635, 519, 1647, 540, 713, 2540, 267, 930, 21575, 543, 1382, 8030, 25077, 267, 513, 1804, 2671, 540, 519, 1158, 781, 3747, 585, 5201, 1223, 581, 1558, 676, 513, 26424, 540, 1360, 1804, 2230, 2861, 3859, 25675, 630, 11901, 264, 14249, 269, 3690, 2466, 1562, 4448, 547, 891, 14249, 1131, 1142, 11237, 607, 1454, 607, 1896, 5479, 26334, 540, 1379, 547, 3047, 693, 17196, 5925, 12451, 585, 4015, 676, 2647, 268, 19327, 6439, 4328, 2666, 32110, 543, 7503, 547, 5201, 563, 763, 6323, 543, 519, 4909, 2029, 585, 971, 513, 10325, 616, 1134, 1634, 543, 7361, 538, 1688, 267, 15156, 2161, 4352, 605, 323, 16406, 4702, 1646, 1131, 581, 2556, 547, 2965, 1628, 513, 2230, 1379, 1062, 269, 634, 6574, 11064, 547, 16734, 519, 1761, 540, 1379, 15408, 538, 1164, 3047, 10739, 568, 519, 1482, 607, 621, 729, 1614, 5756, 3516, 734, 1492, 1164, 1942, 540, 22745, 7366, 540, 5215, 540, 9748, 540, 3859, 14249, 543, 824, 3937, 883, 2230, 543, 7011, 1782, 873, 269, 1280, 1896, 4128, 267, 2705, 267, 519, 4161, 1631, 5526, 10169, 1447, 18447, 982, 621, 1705, 476, 1789, 1296, 3516, 269, 630, 5194, 267, 24903, 1447, 1713, 267, 11064, 6967, 689, 519, 2250, 568, 1857, 6161, 827, 2825, 267, 1072, 267, 543, 3106, 4220, 540, 1804, 8397, 2230, 3562, 7232, 14390, 17196, 1648, 6771, 269, 1401, 7964, 2161, 971, 4220, 616, 9765, 5944, 1507, 282, 1294, 2427, 8663, 267, 533, 269, 476, 1015, 8094, 763, 1034, 2596, 2856, 585, 2230, 1379, 21018, 782, 519, 1259, 1394, 547, 835, 540, 519, 27428, 540, 519, 3167, 2085, 543, 519, 1167, 913, 17243, 540, 12616, 5925, 267, 21208, 7637, 23592, 269, 834, 9961, 2230, 972, 568, 1648, 257, 646, 5143, 519, 1977, 4659, 540, 15379, 19296, 538, 476, 6642, 272, 269, 834, 2252, 1496, 527, 568, 316, 11979, 267, 938, 13922, 616, 538, 642, 664, 282, 952, 15452, 734, 663, 713, 649, 917, 621, 568, 585, 1978, 734, 6533, 621, 568, 513, 6071, 2243, 540, 942, 950, 2367, 786, 8011, 538, 1140, 2286, 741, 12227, 547, 519, 1360, 8868, 1740, 540, 2470, 4799, 307, 525, 20393, 28897, 734, 663, 1010, 8942, 547, 6542, 18714, 12616, 1379, 6771, 734, 1231, 18944, 2663, 5075, 2456, 540, 2230, 3859, 1379, 269, 1306, 7074, 676, 681, 269, 21563, 534, 8210, 321, 540, 519, 8225, 6611, 10837, 519, 6739, 23951, 560, 656, 514, 17578, 2723, 28325, 20391, 6700, 538, 476, 4489, 273, 602, 4224, 4479, 1131, 5512, 519, 4015, 538, 2230, 540, 3859, 1648, 538, 2483, 1607, 568, 513, 12744, 269, 5192, 519, 2407, 1257, 998, 707, 1153, 610, 1857, 5399, 269, 0, 1432, 568, 772, 4135, 545, 7559, 888, 308, 4135, 545, 7559, 610, 32105, 568, 606, 12176, 540, 22224, 267, 12779, 2699, 27894, 610, 29693, 13196, 593, 519, 2960, 602, 2408, 10393, 267, 2901, 607, 513, 1267, 540, 938, 1560, 781, 5114, 547, 1978, 23480, 610, 585, 7164, 4128, 269, 2353, 21544, 6547, 1291, 547, 519, 5305, 540, 513, 8825, 3940, 3957, 1277, 8533, 269, 570, 4176, 1973, 8043, 1634, 607, 1698, 650, 2456, 13451, 5714, 607, 789, 2097, 538, 3346, 609, 1277, 8533, 269, 634, 5714, 7213, 12885, 896, 519, 2960, 543, 3123, 513, 16420, 563, 2005, 2356, 3123, 21422, 855, 949, 3100, 899, 513, 6633, 610, 29097, 269, 670, 1161, 949, 2408, 593, 1022, 851, 540, 519, 1560, 799, 2882, 519, 11469, 267, 17534, 267, 3068, 267, 11563, 610, 10772, 269, 1358, 4268, 538, 2450, 543, 949, 6443, 1927, 547, 1106, 3677, 27894, 1634, 607, 29693, 13196, 269, 1452, 32105, 949, 2063, 689, 513, 1906, 3108, 547, 513, 1554, 1354, 535, 8172, 269, 670, 1161, 1860, 1472, 476, 736, 829, 1298, 540, 1004, 693, 930, 1448, 538, 1272, 563, 15650, 540, 772, 4135, 545, 7559, 454, 308, 4135, 545, 7559, 2164, 1344, 540, 1585, 5686, 540, 32105, 912, 268, 26590, 2712, 6776, 7559, 281, 621, 2882, 32105, 9434, 1447, 982, 3670, 4374, 269, 634, 1292, 3123, 1331, 1978, 5563, 267, 3536, 610, 11955, 1031, 1354, 269, 24538, 17486, 543, 1896, 4835, 3676, 666, 849, 1267, 538, 8650, 2712, 6776, 7559, 269, 589, 1297, 540, 1426, 3688, 899, 4195, 15708, 267, 5144, 267, 14274, 267, 3165, 267, 5798, 267, 10808, 267, 543, 10217, 949, 1267, 538, 519, 5250, 540, 32105, 563, 268, 4911, 1470, 539, 9047, 543, 5312, 2712, 6776, 7559, 281, 1452, 32105, 2063, 585, 811, 982, 3670, 4374, 269, 898, 568, 811, 2352, 547, 2697, 519, 2014, 540, 713, 1826, 540, 554, 633, 269, 898, 568, 1360, 2352, 547, 3313, 519, 2014, 540, 5312, 2712, 6776, 7559, 585, 1034, 1004, 269, 769, 930, 2665, 267, 11178, 267, 17537, 3968, 543, 2860, 949, 849, 581, 519, 2014, 540, 2712, 6776, 7559, 269, 4911, 1470, 539, 9047, 543, 5312, 2712, 6776, 7559, 849, 1860, 824, 4835, 8219, 899, 6091, 267, 9641, 267, 543, 519, 16063, 8778, 269, 4033, 4191, 1331, 11591, 21539, 320, 267, 13481, 267, 7411, 538, 7244, 267, 543, 15319, 1145, 538, 6091, 563, 268, 8447, 2712, 6776, 7559, 281, 1452, 5686, 540, 32105, 616, 519, 1267, 540, 9308, 18398, 3157, 899, 3635, 267, 24852, 267, 2604, 267, 3141, 4598, 267, 3002, 267, 4411, 267, 543, 11195, 269, 634, 32105, 1419, 2049, 4010, 1141, 519, 2960, 729, 4957, 543, 15991, 2408, 11992, 269, 634, 32105, 896, 713, 7121, 1376, 17729, 1369, 606, 5662, 1310, 519, 2168, 1689, 563, 268, 32536, 1748, 1143, 281, 898, 568, 519, 1034, 2596, 2186, 540, 2712, 6776, 7559, 538, 799, 32105, 2408, 1813, 547, 588, 549, 6362, 610, 31153, 519, 2960, 563, 28536, 2670, 540, 772, 4135, 545, 7559, 454, 763, 4387, 786, 2307, 1082, 2055, 538, 606, 3801, 547, 1265, 519, 2009, 2014, 540, 2712, 6776, 7559, 269, 4595, 972, 616, 1100, 1808, 4255, 585, 32105, 267, 519, 2404, 11926, 610, 2587, 1470, 539, 9047, 267, 519, 6514, 786, 4096, 593, 707, 2564, 1686, 543, 513, 9488, 981, 676, 707, 3119, 1416, 4387, 610, 17172, 6048, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 20685, 673, 4039, 520, 13659, 543, 19078, 10713, 16117, 454, 20685, 673, 8887, 13659, 568, 513, 3069, 602, 6920, 602, 13919, 9867, 1759, 593, 519, 8155, 540, 835, 779, 2528, 269, 901, 3069, 6585, 602, 2436, 606, 2962, 568, 4636, 610, 1318, 568, 890, 13949, 593, 519, 5837, 8155, 540, 519, 2486, 538, 799, 621, 568, 2808, 269, 1306, 829, 519, 5683, 8887, 13659, 267, 972, 6818, 1100, 5837, 2612, 565, 2373, 6862, 1100, 6207, 1305, 2986, 2802, 545, 269, 19078, 8887, 13659, 3340, 602, 7881, 540, 519, 2486, 547, 11457, 547, 3514, 519, 9757, 25896, 269, 19078, 8887, 13659, 6148, 1031, 676, 3549, 607, 513, 24134, 540, 1114, 1480, 4199, 2853, 971, 607, 1480, 2200, 2853, 269, 589, 2101, 1966, 2404, 609, 713, 2259, 568, 602, 3919, 949, 4043, 547, 957, 538, 3622, 30849, 6073, 543, 946, 2686, 3604, 607, 519, 24134, 269, 2201, 519, 824, 1688, 267, 5683, 8471, 1143, 4016, 547, 513, 1523, 1141, 519, 5683, 29943, 540, 606, 957, 568, 2808, 547, 581, 2147, 2066, 519, 7122, 5103, 519, 3510, 630, 5226, 842, 601, 1512, 267, 1546, 3911, 564, 267, 1299, 674, 612, 2401, 267, 476, 1001, 274, 1040, 896, 5683, 5837, 8471, 267, 519, 2596, 5837, 3741, 16637, 2686, 543, 3084, 6302, 269, 19078, 8471, 1143, 568, 1031, 547, 519, 3498, 540, 2147, 3741, 2066, 1114, 4529, 971, 4507, 1996, 4638, 5208, 269, 589, 1966, 540, 519, 3665, 5837, 8471, 1143, 568, 602, 568, 666, 1291, 547, 519, 3510, 540, 2686, 22030, 1141, 9946, 1118, 519, 13429, 602, 789, 616, 2953, 543, 5683, 538, 741, 3527, 543, 7475, 909, 23304, 8973, 824, 4529, 630, 298, 574, 267, 476, 1001, 276, 1040, 1306, 513, 29505, 9614, 267, 547, 2057, 2042, 2404, 609, 891, 5683, 7158, 267, 594, 1131, 1711, 513, 7271, 540, 7421, 9183, 1759, 593, 2188, 971, 607, 282, 2804, 2188, 282, 593, 1018, 568, 1655, 585, 519, 2754, 779, 12434, 267, 3656, 2188, 282, 3375, 602, 705, 1938, 676, 519, 4031, 540, 1312, 519, 3984, 543, 2385, 2829, 267, 543, 849, 593, 519, 5683, 2188, 282, 6236, 1018, 568, 3622, 1318, 547, 798, 563, 9558, 819, 689, 4004, 1143, 547, 13317, 1143, 454, 763, 27757, 540, 25399, 1185, 2360, 547, 519, 2477, 602, 723, 1044, 7142, 547, 4188, 547, 16851, 269, 18831, 538, 8109, 2342, 543, 519, 5449, 8168, 723, 7361, 1044, 5734, 676, 713, 9183, 269, 7324, 519, 1034, 1455, 6286, 540, 519, 5912, 689, 25399, 547, 16851, 814, 1044, 519, 5786, 540, 519, 2804, 2534, 1377, 630, 289, 3120, 342, 1195, 267, 1299, 918, 8527, 990, 267, 476, 1960, 273, 1040, 901, 5012, 547, 519, 3932, 602, 5103, 519, 1847, 547, 513, 9183, 540, 1863, 5777, 267, 2804, 7004, 4386, 7930, 269, 634, 2038, 3942, 540, 519, 5912, 1184, 568, 5185, 609, 10637, 607, 519, 1034, 11342, 2804, 1966, 799, 2838, 512, 7660, 1852, 593, 519, 2229, 24723, 543, 17923, 519, 3844, 8492, 547, 7520, 31749, 13075, 8060, 543, 9004, 13564, 1242, 17099, 269, 634, 1034, 1455, 1106, 540, 6963, 538, 519, 1184, 540, 5912, 568, 519, 3051, 26494, 602, 19658, 519, 1184, 540, 3892, 540, 5763, 630, 293, 13741, 686, 267, 476, 1220, 279, 1040, 1703, 729, 14754, 1896, 17069, 626, 15148, 1206, 1739, 513, 10419, 783, 7771, 538, 3977, 269, 901, 5912, 689, 25399, 547, 16851, 568, 513, 6041, 540, 2804, 14051, 267, 799, 6799, 1312, 6937, 543, 2591, 585, 29505, 3549, 269, 6270, 3549, 1131, 581, 7361, 4299, 676, 513, 1689, 538, 1114, 2804, 2188, 971, 607, 2095, 540, 1804, 9424, 540, 4123, 267, 5092, 267, 543, 4066, 269, 634, 11615, 538, 971, 2477, 1131, 7771, 267, 799, 1131, 581, 10483, 676, 513, 5786, 538, 519, 3044, 540, 2713, 563, 32459, 2118, 540, 15979, 454, 20685, 923, 4016, 547, 513, 1305, 540, 3741, 602, 568, 1031, 547, 3715, 1018, 568, 1318, 538, 6935, 547, 519, 2932, 540, 606, 1367, 269, 15979, 5631, 4308, 609, 519, 2596, 2035, 543, 3741, 602, 1827, 519, 1480, 2932, 269, 898, 4061, 14122, 519, 1353, 540, 5837, 2418, 543, 3044, 540, 1004, 543, 2486, 693, 1804, 269, 6355, 7881, 4016, 547, 519, 3498, 540, 519, 1482, 5683, 3741, 1031, 547, 3313, 519, 2932, 540, 2043, 547, 513, 3318, 4259, 269, 769, 1870, 7881, 267, 519, 4901, 11394, 547, 5031, 519, 5683, 2035, 4448, 547, 513, 1870, 602, 616, 11342, 538, 1870, 1305, 909, 269, 5811, 540, 1870, 7881, 5012, 547, 513, 3510, 1141, 519, 2596, 3741, 540, 7881, 616, 4294, 538, 519, 5133, 540, 513, 1870, 630, 29834, 267, 1299, 14878, 321, 1074, 267, 476, 1001, 272, 1040, 2368, 2035, 602, 9446, 713, 9183, 1331, 282, 7156, 540, 1870, 607, 9746, 4961, 267, 1434, 1870, 7881, 267, 1799, 7394, 1870, 2853, 267, 1018, 2306, 909, 513, 5837, 1318, 267, 543, 2093, 827, 5126, 269, 6355, 7881, 568, 9833, 607, 606, 10137, 540, 5837, 6138, 269, 1452, 7881, 666, 581, 1031, 676, 3919, 547, 5352, 606, 10721, 2528, 799, 3340, 8380, 3007, 593, 26655, 519, 5520, 593, 741, 5837, 17185, 1247, 8876, 856, 1870, 4308, 902, 269, 1323, 1383, 540, 713, 267, 568, 1141, 5837, 6138, 1223, 1291, 547, 5108, 540, 513, 2528, 540, 19969, 607, 1134, 607, 4947, 909, 609, 513, 3009, 540, 7881, 602, 666, 581, 7506, 519, 4600, 543, 3401, 563, 12892, 30543, 543, 32501, 454, 288, 1514, 9872, 4016, 547, 519, 1114, 543, 7294, 7158, 267, 5107, 267, 543, 8155, 267, 543, 2418, 1369, 519, 1114, 2010, 540, 1514, 2497, 543, 1785, 1005, 2101, 569, 7123, 3270, 538, 1480, 2200, 269, 634, 1614, 2101, 2010, 540, 1883, 1514, 5238, 602, 949, 723, 606, 1764, 593, 519, 1870, 1604, 616, 2804, 1949, 267, 1377, 540, 22713, 267, 543, 2010, 540, 4984, 269, 4317, 9872, 814, 1044, 4330, 547, 16922, 593, 606, 5044, 540, 7158, 267, 5107, 267, 8155, 543, 2418, 4368, 730, 538, 519, 1514, 2497, 543, 3238, 538, 519, 12180, 519, 3270, 540, 1480, 2534, 28110, 2509, 4909, 2042, 5275, 547, 5352, 1272, 1606, 7739, 532, 2200, 269, 634, 12250, 3069, 8711, 1114, 7127, 7154, 3903, 540, 519, 631, 10998, 338, 17929, 621, 6920, 602, 3906, 991, 547, 15666, 547, 519, 12250, 1604, 971, 607, 12250, 2418, 543, 8155, 269, 634, 3919, 949, 1491, 519, 1106, 540, 513, 4745, 14679, 610, 513, 28025, 11262, 13564, 10706, 538, 513, 4914, 2197, 799, 8612, 513, 1390, 2543, 593, 519, 1514, 10343, 630, 298, 541, 752, 1794, 1299, 962, 843, 714, 267, 476, 1001, 273, 1040, 898, 568, 7074, 602, 519, 12250, 1604, 814, 1614, 2101, 11890, 1519, 9431, 267, 5042, 267, 543, 29708, 22225, 269, 634, 9431, 30361, 568, 1644, 609, 1018, 3906, 543, 2043, 949, 4497, 538, 269, 15465, 30361, 14122, 1018, 519, 2043, 666, 610, 3112, 798, 269, 11870, 894, 30361, 14592, 1018, 519, 3906, 543, 2043, 1058, 610, 1058, 711, 798, 269, 634, 2609, 540, 519, 1514, 5238, 991, 547, 581, 2808, 538, 1818, 519, 3375, 593, 1141, 547, 1376, 513, 13564, 10706, 563, 289, 3120, 342, 1195, 267, 631, 1421, 1299, 918, 8527, 990, 267, 623, 269, 630, 1960, 273, 1040, 634, 8168, 5912, 689, 25847, 547, 16851, 281, 11832, 1852, 543, 2804, 29541, 538, 519, 3574, 2872, 269, 1977, 5081, 1670, 5623, 267, 476, 1626, 268, 4343, 563, 293, 13741, 686, 267, 966, 269, 630, 1220, 279, 1040, 3245, 4004, 1143, 547, 13317, 1143, 281, 589, 2622, 3690, 11526, 269, 7969, 4750, 540, 4139, 16457, 267, 476, 6246, 267, 630, 273, 1070, 476, 14338, 268, 14862, 563, 298, 541, 10440, 26535, 267, 631, 1421, 1299, 962, 13799, 671, 13799, 345, 267, 670, 269, 661, 269, 630, 1001, 273, 1040, 2382, 6627, 10318, 514, 1218, 2986, 5564, 24676, 11283, 725, 685, 18782, 25042, 14893, 769, 11894, 269, 4750, 540, 13188, 1299, 8556, 13577, 7070, 12458, 325, 27267, 918, 11229, 701, 3331, 506, 333, 1392, 2572, 328, 594, 19241, 529, 14508, 1654, 16740, 926, 31167, 574, 2401, 674, 752, 6686, 2741, 525, 328, 667, 1120, 27599, 267, 476, 1691, 263, 273, 1916, 298, 574, 267, 670, 269, 590, 269, 630, 1220, 276, 1040, 10713, 16117, 8957, 8887, 13659, 538, 1857, 1894, 269, 4750, 540, 7136, 9012, 15979, 267, 476, 736, 263, 275, 1070, 476, 18357, 268, 30306, 563, 5226, 842, 601, 1512, 267, 918, 269, 808, 1421, 1546, 3911, 564, 267, 667, 1421, 1299, 674, 612, 2401, 267, 667, 269, 631, 269, 630, 1001, 274, 1040, 634, 5837, 8471, 1143, 3146, 26245, 13659, 7521, 269, 918, 299, 2464, 3041, 1700, 3725, 341, 826, 9158, 1664, 267, 476, 2767, 267, 476, 21076, 268, 26783, 2529, 19431, 267, 808, 1421, 1299, 14878, 321, 1074, 267, 654, 269, 630, 1001, 272, 1040, 4197, 519, 1909, 540, 5837, 3741, 538, 1870, 7881, 281, 589, 23006, 1014, 5133, 269, 6355, 15979, 22588, 569, 267, 476, 2641, 263, 273, 1070, 476, 13078, 268, 23211, 563, 22013, 1853, 532, 513, 1164, 7779, 1587, 693, 513, 10257, 3902, 568, 711, 2614, 15042, 563, 6546, 779, 1946, 649, 723, 2919, 476, 276, 6225, 18715, 602, 786, 1118, 707, 1995, 609, 938, 3028, 11791, 267, 2653, 267, 543, 2922, 563, 2791, 723, 547, 581, 476, 1911, 260, 2386, 540, 519, 2298, 540, 707, 1587, 547, 2285, 513, 2724, 25746, 10018, 269, 901, 6257, 721, 9985, 269, 5269, 2386, 602, 713, 10018, 568, 11207, 12001, 19403, 811, 454, 10376, 1957, 568, 7768, 689, 15072, 267, 2687, 547, 707, 5528, 269, 898, 568, 1287, 13761, 676, 938, 17096, 1673, 564, 1254, 3301, 269, 1703, 568, 1100, 7934, 1141, 17096, 1223, 25837, 538, 19403, 811, 454, 12552, 547, 938, 1863, 26941, 267, 972, 568, 1100, 1259, 585, 596, 547, 581, 5667, 15384, 30829, 269, 1284, 786, 960, 593, 707, 1957, 2394, 596, 616, 4625, 6126, 609, 519, 1267, 19403, 811, 454, 7312, 4757, 568, 2922, 267, 607, 649, 4558, 621, 2687, 547, 3486, 1239, 4027, 3652, 269, 2659, 4871, 3877, 616, 5150, 267, 607, 649, 946, 1152, 6325, 8569, 1949, 19403, 811, 454, 3528, 11488, 721, 707, 2724, 267, 596, 4444, 519, 3028, 649, 1683, 269, 6744, 856, 938, 2474, 543, 2175, 952, 596, 4782, 1870, 12909, 547, 581, 9788, 856, 538, 4013, 1893, 19403, 811, 0, 2108, 9515, 3893, 18901, 543, 1572, 519, 7128, 950, 621, 3323, 547, 2097, 1394, 547, 1272, 269, 1703, 779, 513, 1770, 1631, 1818, 922, 1259, 547, 4787, 753, 523, 13985, 10740, 609, 519, 28075, 340, 3570, 2223, 1767, 7128, 22557, 30513, 2441, 2088, 2977, 753, 5459, 593, 14349, 12784, 563, 296, 7666, 11446, 666, 1332, 547, 13080, 540, 909, 547, 476, 273, 269, 276, 15432, 543, 666, 2661, 585, 476, 736, 547, 476, 1839, 1296, 269, 1358, 616, 24549, 2803, 543, 616, 5065, 547, 519, 7733, 540, 6239, 3013, 543, 7187, 3162, 3013, 269, 1809, 519, 2831, 616, 849, 4742, 513, 811, 1455, 8289, 538, 519, 16528, 18137, 607, 4620, 5411, 5051, 3442, 547, 29746, 741, 13311, 28499, 1282, 519, 4832, 9702, 4005, 563, 29467, 729, 513, 942, 950, 1004, 1131, 12235, 856, 741, 4832, 7314, 269, 3767, 1004, 12235, 856, 741, 4832, 20641, 1354, 2469, 593, 9702, 2223, 13744, 553, 654, 22844, 1598, 7238, 332, 693, 4787, 753, 523, 13985, 10740, 5143, 3377, 8116, 570, 307, 563, 763, 1306, 335, 5844, 28075, 340, 3570, 568, 2484, 689, 1373, 519, 7887, 28458, 547, 4324, 689, 519, 13442, 635, 325, 2176, 6035, 676, 4787, 753, 523, 13985, 10740, 563, 2108, 10521, 2025, 21031, 941, 856, 16116, 15708, 538, 670, 3291, 16636, 950, 789, 5949, 2390, 513, 3670, 31475, 516, 17489, 1630, 320, 1526, 2774, 528, 602, 26693, 476, 5952, 737, 3342, 269, 1284, 4682, 856, 543, 11324, 4240, 519, 13131, 1247, 519, 7128, 11324, 4240, 519, 21031, 2223, 1767, 654, 22844, 560, 7238, 332, 269, 0, 306, 12522, 18877, 9307, 2221, 602, 972, 723, 1044, 835, 14603, 16154, 538, 8381, 6019, 713, 1032, 3379, 547, 1614, 693, 713, 942, 2063, 1032, 563, 6097, 547, 634, 589, 8150, 7690, 585, 29853, 8881, 267, 10728, 6117, 814, 1831, 513, 2101, 6161, 540, 519, 1857, 267, 20823, 693, 610, 2282, 519, 1283, 540, 6808, 3106, 2152, 538, 3084, 12220, 563, 763, 7690, 11225, 10728, 6117, 607, 1022, 22247, 6117, 2623, 267, 5340, 22393, 543, 609, 2192, 9837, 540, 23304, 731, 585, 3106, 269, 6201, 540, 10728, 6117, 5615, 1331, 630, 8117, 711, 3908, 547, 2187, 11854, 5338, 538, 5230, 6808, 454, 2171, 3058, 538, 543, 856, 540, 6808, 454, 289, 24286, 6517, 12394, 547, 1780, 610, 1689, 28961, 454, 2026, 1082, 607, 476, 6321, 2600, 540, 14603 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 538, 3384, 5386, 5179, 1983, 2556, 585, 19970, 4479, 269, 1924, 10544, 707, 1907, 7901, 543, 1376, 2870, 256, 5808, 6487, 1018, 2186, 540, 5863, 4859, 3070, 19179, 1080, 6602, 538, 707, 3946, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 6701, 596, 13730, 827, 22386, 286, 3657, 596, 11842, 952, 596, 666, 1118, 513, 4876, 856, 540, 621, 286, 4270, 267, 596, 2461, 538, 519, 1318, 1747, 256, 8381, 11529, 568, 711, 1152, 513, 16180, 15908, 855, 849, 513, 1761, 28627, 585, 513, 3811, 4876, 269, 769, 713, 2376, 267, 649, 3580, 2263, 519, 7399, 543, 3255, 602, 2291, 538, 519, 1158, 540, 22386, 269, 6787, 596, 2461, 513, 476, 1724, 4458, 6040, 29681, 540, 513, 2104, 538, 22386, 610, 3274, 8049, 827, 519, 1761, 4876, 16548, 267, 1224, 593, 547, 3605, 1018, 519, 1158, 540, 22386, 814, 538, 4558, 585, 596, 563, 24841, 11529, 568, 1100, 3476, 1175, 827, 1818, 7515, 543, 23107, 1107, 621, 814, 7960, 883, 513, 3309, 543, 14762, 2872, 269, 3245, 13167, 2688, 11647, 547, 2870, 10875, 11308, 18810, 543, 2324, 607, 513, 15790, 10938, 267, 972, 616, 3875, 4876, 10092, 585, 1346, 609, 513, 6612, 585, 22386, 269, 2060, 519, 1318, 1983, 267, 5876, 267, 543, 11428, 267, 596, 666, 2490, 707, 2648, 585, 22386, 883, 513, 14323, 543, 16180, 4876, 563, 1103, 713, 2376, 267, 649, 3580, 5490, 883, 519, 1585, 4876, 3681, 18854, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 290, 629, 514, 4479, 257, 607, 851, 540, 834, 290, 32323, 4811, 1299, 670, 15477, 10292, 2464, 1315, 8381, 1740, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 769, 2221, 781, 6385, 4657, 1158, 267, 2362, 2069, 814, 7960, 3564, 2757, 15839, 7146, 2173, 677, 541, 5238, 269, 6732, 9945, 723, 7153, 607, 513, 2442, 4244, 267, 3246, 8465, 543, 3015, 1565, 3255, 585, 1053, 5001, 269, 1809, 1018, 1281, 621, 1611, 547, 11654, 606, 2228, 4110, 538, 2069, 286, 1215, 666, 891, 3292, 3895, 1514, 5126, 267, 9111, 267, 543, 7589, 1247, 5466, 10296, 2518, 2591, 899, 6940, 286, 2913, 721, 5490, 883, 891, 2055, 543, 811, 607, 649, 2263, 519, 1909, 540, 2228, 9945, 538, 5807, 12581, 543, 8537, 2069, 780, 5575, 267, 1577, 781, 5581, 930, 1898, 2474, 602, 1106, 519, 5748, 540, 938, 4901, 269, 4317, 5126, 4016, 547, 519, 1523, 540, 2870, 4023, 543, 3160, 7239, 676, 4101, 543, 909, 549, 7627, 11528, 7496, 543, 12886, 269, 769, 2069, 267, 713, 1797, 4180, 782, 2043, 723, 3160, 1569, 547, 2200, 267, 1489, 267, 543, 3255, 7488, 540, 741, 4282, 610, 3961, 269, 22640, 543, 7589, 4125, 16779, 1053, 547, 4497, 9691, 609, 1585, 5380, 267, 12840, 3927, 267, 543, 3565, 25006, 547, 2486, 998, 5483, 3375, 6194, 269, 14936, 267, 4264, 1646, 3853, 630, 16256, 19199, 264, 7854, 476, 1704, 10562, 6859, 1305, 8521, 676, 519, 2136, 8315, 6322, 693, 16701, 21899, 6710, 267, 7863, 519, 4541, 267, 543, 5009, 4708, 543, 13884, 585, 782, 1004, 676, 476, 10711, 271, 780, 3086, 602, 649, 1174, 891, 4295, 2035, 267, 875, 798, 2228, 9945, 3514, 883, 713, 4605, 286, 27603, 267, 3845, 1565, 729, 2808, 17071, 547, 3068, 3562, 19904, 6044, 1813, 547, 3908, 5872, 543, 4389, 12477, 269, 1717, 267, 8441, 538, 2029, 723, 9927, 2228, 2069, 267, 7175, 7347, 2792, 9055, 1063, 16929, 543, 9905, 267, 15138, 13502, 267, 543, 7317, 19180, 2833, 269, 5047, 267, 26886, 2228, 9945, 1631, 2709, 11826, 4081, 3292, 3056, 547, 5232, 6697, 547, 1346, 24705, 1042, 676, 6671, 5238, 269, 1452, 7835, 1459, 3078, 7399, 585, 14027, 1514, 5126, 267, 9111, 267, 543, 7589, 1369, 2362, 2069, 780, 3080, 1713, 5413, 540, 2228, 9945, 568, 741, 4390, 547, 3914, 3309, 5095, 945, 949, 6382, 3668, 1569, 547, 2298, 2069, 269, 1635, 14874, 10923, 10148, 267, 2228, 5867, 5512, 1053, 689, 6552, 2127, 267, 9207, 5703, 2950, 267, 610, 27797, 14227, 10080, 547, 10536, 3407, 1702, 543, 1983, 1510, 882, 20814, 610, 27531, 2123, 9021, 269, 5015, 267, 3059, 2645, 7520, 5698, 1851, 6267, 2066, 10665, 267, 14237, 3444, 14426, 4656, 543, 6568, 1107, 7907, 2629, 585, 2502, 24339, 5597, 538, 513, 2518, 1242, 1158, 780, 1103, 1840, 547, 3376, 2287, 1569, 267, 2228, 9945, 1404, 513, 4105, 1909, 538, 5935, 11407, 1472, 4207, 3872, 2152, 269, 3414, 5691, 13460, 543, 2228, 15473, 267, 1053, 543, 12200, 666, 4161, 17888, 6436, 543, 4507, 267, 6220, 2789, 9739, 543, 5380, 12926, 12790, 538, 24243, 269, 1280, 3236, 267, 5717, 4478, 9698, 267, 10014, 267, 543, 10333, 1831, 21950, 950, 16135, 538, 5030, 2833, 1114, 689, 1346, 3335, 6719, 538, 14046, 3332, 269, 4935, 267, 2228, 2069, 3091, 15417, 2666, 585, 14637, 11180, 2853, 543, 29355, 4529, 780, 5194, 1259, 2228, 9945, 6536, 1514, 5126, 568, 676, 10128, 12676, 19199, 883, 21195, 269, 1306, 8069, 540, 1689, 267, 7855, 1590, 5965, 2104, 3401, 547, 6330, 1950, 2042, 8506, 5499, 3435, 12082, 538, 5683, 3741, 269, 1323, 1383, 540, 713, 1935, 568, 700, 297, 300, 308, 781, 10790, 4065, 1982, 267, 799, 12799, 6663, 547, 16491, 1053, 609, 519, 2556, 1702, 267, 1983, 267, 543, 2994, 547, 2743, 6167, 12676, 19199, 269, 1635, 3695, 3584, 899, 2825, 6940, 267, 4008, 7862, 267, 543, 4389, 16526, 1369, 606, 3872, 5943, 267, 1053, 2744, 4052, 4030, 883, 875, 789, 1522, 3565, 9797, 547, 6848, 3356, 780, 11101, 267, 2228, 9945, 1683, 2189, 3255, 585, 1382, 543, 5647, 5059, 593, 7393, 3450, 543, 1565, 3157, 269, 7913, 4066, 1930, 1007, 18817, 585, 1239, 4015, 543, 2079, 267, 3850, 5640, 547, 8495, 2188, 12018, 2875, 1967, 267, 8404, 267, 543, 6278, 269, 3958, 267, 2228, 5054, 22937, 2933, 547, 17634, 609, 3209, 24099, 2409, 3358, 547, 1367, 2115, 543, 7375, 269, 6270, 10124, 3180, 10373, 1761, 585, 5355, 3872, 4093, 1247, 8195, 4227, 13103, 2404, 609, 5198, 267, 4008, 267, 9659, 4567, 267, 610, 824, 12508, 540, 3017, 780, 4913, 267, 5103, 922, 3875, 2640, 267, 2228, 2069, 8188, 1896, 2591, 538, 16734, 922, 13710, 5075, 269, 12983, 17640, 547, 3059, 7924, 267, 14479, 267, 26622, 267, 543, 7834, 2611, 32330, 4145, 12042, 1359, 2407, 20185, 540, 2228, 9945, 262, 1761, 269, 18601, 891, 9465, 3340, 13447, 539, 3646, 689, 14519, 267, 2872, 8639, 267, 543, 3872, 5238, 7567, 269, 13018, 267, 12352, 1063, 1857, 543, 4357, 9922, 1223, 948, 8115, 519, 3059, 7941, 267, 4228, 5989, 267, 543, 2327, 12581, 1569, 547, 1164, 7779, 2228, 5752, 780, 2414, 9959, 267, 2228, 9945, 2099, 513, 9621, 20281, 538, 2362, 2069, 267, 5356, 13778, 3255, 585, 5009, 1514, 5126, 267, 9111, 267, 543, 7589, 269, 1635, 9750, 1569, 267, 8716, 5188, 267, 32750, 12676, 19199, 883, 21195, 267, 543, 6117, 5647, 267, 891, 5867, 1796, 26405, 547, 28196, 710, 3450, 543, 1565, 26336, 269, 11048, 267, 10770, 2591, 3747, 4797, 28858, 543, 7029, 689, 782, 11051, 3238, 538, 5935, 519, 2104, 5251, 540, 2069, 269, 8307, 1287, 666, 649, 12260, 519, 3020, 9153, 540, 2228, 9945, 607, 27857, 585, 2318, 1689, 538, 13287, 540, 513, 811, 1175, 267, 12581, 267, 543, 4264, 1158, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 10666, 713, 1576, 454, 1607, 10790, 6227, 1514, 5126, 267, 9111, 543, 7589, 267, 621, 3322, 2565, 3818, 16162, 9918, 1353, 543, 2620, 839, 707, 1620, 540, 2069, 538, 513, 2518, 2796, 563, 763, 10790, 4065, 693, 20506, 23051, 3627, 7720, 2803, 2160, 568, 4998, 952, 596, 616, 13730, 827, 3384, 1702, 267, 1620, 543, 1983, 547, 2232, 2152, 540, 9698, 267, 4763, 267, 10014, 267, 543, 1514, 5126, 269, 898, 568, 4998, 585, 7855, 267, 3173, 267, 9439, 267, 3609, 15670, 267, 543, 3401, 689, 3872, 5468, 267, 2146, 543, 17319, 14540, 267, 543, 3609, 5823, 607, 1134, 607, 585, 1699, 15938, 1053, 563, 288, 1883, 1445, 540, 713, 10872, 568, 547, 16491, 1053, 609, 1270, 15363, 1702, 267, 1983, 267, 543, 2994, 547, 10994, 2591, 538, 5870, 6167, 12655, 4886, 17644, 269, 1411, 786, 1451, 547, 2243, 7608, 3069, 543, 3609, 267, 2070, 2069, 689, 513, 2518, 5133, 543, 2263, 1883, 2152, 971, 607, 9698, 267, 10014, 543, 10333, 269, 901, 10872, 3322, 2565, 3818, 16162, 9918, 1353, 606, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 15697, 29550, 257, 607, 851, 540, 834, 3633, 24102, 1315, 12140, 1315, 20946, 1315, 14451, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 276, 281, 634, 10017, 19992, 32573, 1782, 1107, 4197, 2659, 20556, 609, 11485, 543, 25166, 731, 692, 7072, 692, 5970, 596, 2479, 9289, 1946, 1004, 13708, 1076, 286, 1548, 11479, 873, 547, 1491, 4220, 267, 1256, 950, 789, 917, 519, 12918, 949, 581, 1996, 873, 286, 901, 3184, 12538, 883, 519, 4241, 1158, 540, 13989, 6530, 267, 3695, 875, 2043, 13498, 1981, 543, 8007, 267, 543, 875, 891, 11994, 3337, 741, 3375, 6194, 3157, 1247, 2502, 538, 11080, 2238, 269, 1284, 3513, 4983, 2013, 2090, 267, 5659, 8579, 1239, 267, 543, 1683, 4052, 5751, 547, 948, 1762, 4079, 1174, 741, 2078, 609, 4960, 543, 5506, 269, 1635, 519, 1439, 540, 713, 3184, 267, 596, 786, 581, 9280, 609, 2565, 3206, 1983, 2556, 547, 1118, 5483, 3664, 827, 707, 1378, 6278, 609, 1585, 3029, 540, 11080, 543, 2708, 707, 7209, 7592, 538, 6935, 547, 13989, 5615, 780, 4089, 476, 272, 281, 17438, 543, 32185, 692, 23536, 1464, 3069, 2488, 519, 5748, 585, 782, 2413, 13989, 2853, 269, 898, 4016, 547, 519, 10171, 540, 1808, 2621, 9648, 1759, 593, 6310, 9273, 269, 1717, 267, 3425, 1810, 1405, 2141, 1184, 17831, 678, 14260, 269, 15465, 12886, 1419, 1253, 677, 938, 8226, 540, 1981, 543, 8007, 267, 3056, 721, 547, 3765, 9080, 613, 3871, 543, 957, 791, 6160, 1947, 269, 769, 713, 3296, 267, 649, 786, 2263, 1896, 1883, 2035, 1644, 547, 5506, 543, 922, 1764, 593, 3375, 6194, 1282, 13989, 1384, 288, 264, 22039, 5288, 269, 17438, 15154, 454, 24109, 753, 4043, 547, 1589, 2901, 538, 2474, 540, 4908, 630, 324, 3052, 1421, 834, 296, 4465, 1614, 856, 540, 2947, 914, 338, 8442, 610, 5506, 9497, 2467, 781, 513, 476, 2568, 260, 4960, 594, 3513, 3094, 20257, 3194, 2982, 602, 4908, 2861, 7744, 2531, 7149, 3355, 21520, 267, 3226, 1851, 1346, 945, 3668, 6101, 2069, 538, 6128, 269, 16629, 16394, 17908, 713, 7613, 676, 9306, 10888, 12451, 3079, 540, 3020, 17831, 267, 2870, 606, 21903, 540, 1852, 602, 7512, 2417, 25919, 780, 289, 264, 2997, 22355, 1261, 22618, 454, 763, 8244, 646, 22618, 568, 513, 2790, 30246, 1031, 547, 7447, 519, 10171, 540, 606, 2680, 1759, 593, 11593, 2139, 1344, 269, 1280, 1383, 267, 2576, 1522, 8263, 602, 10888, 2462, 693, 513, 18921, 3684, 568, 1455, 1317, 789, 4749, 1294, 1866, 3257, 865, 269, 2755, 8732, 16394, 21825, 1747, 1164, 1790, 11691, 6191, 2282, 1303, 27509, 543, 14261, 2127, 547, 1711, 971, 24221, 267, 13544, 26105, 2611, 4686, 20825, 19250, 6340, 780, 290, 264, 4762, 3305, 566, 4437, 553, 454, 18183, 3305, 566, 9186, 5012, 2043, 547, 3343, 2963, 5885, 26608, 18727, 4978, 1247, 24937, 30137, 5013, 269, 1879, 4294, 547, 13989, 267, 21533, 9186, 2164, 538, 5716, 16208, 3270, 1369, 4351, 9696, 267, 5316, 5024, 17993, 547, 5578, 2864, 982, 9939, 269, 3683, 942, 267, 713, 5042, 5470, 25040, 32601, 6788, 543, 11942, 16609, 2623, 780, 4089, 476, 273 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 267, 1352, 3081, 269, 834, 296, 9364, 979, 865, 2484, 607, 547, 2161, 602, 2780, 2029, 568, 547, 3450, 1018, 4050, 27957, 729, 547, 4915, 269, 1548, 649, 1590, 798, 1631, 568, 1118, 2386, 18864, 4413, 525, 856, 593, 621, 4799, 10702, 1344, 3725, 2224, 1543, 0, 7049, 525, 602, 5862, 8038, 3541, 4471, 637, 20726, 693, 19427, 454, 301, 545, 15614, 717, 20234, 601, 267, 2022, 4777, 28118, 8284, 538, 7636, 7350, 267, 3096, 513, 27789, 2121, 547, 6952, 4829, 13733, 538, 519, 2160, 24184, 2146, 4677, 269, 717, 20234, 601, 29622, 519, 6090, 602, 5397, 3604, 538, 6477, 7695, 538, 4829, 13733, 630, 2102, 639, 667, 4592, 32166, 1070, 1210, 13733, 9575, 538, 1010, 19887, 543, 1472, 519, 2160, 24184, 2146, 4677, 11003, 24050, 563, 20124, 676, 281, 7812, 1280, 3122, 681, 1054, 321, 691, 454, 1607, 5256, 4829, 8038, 630, 313, 777, 337, 542, 639, 3857, 339, 9528, 264, 27507, 540, 14159, 23416, 14550, 519, 24466, 4763, 540, 14159, 6477, 7695, 538, 667, 4592, 17232, 13160, 269, 12832, 15614, 717, 20234, 601, 267, 2022, 4777, 28118, 8284, 538, 7636, 7350, 267, 21503, 519, 6090, 602, 5397, 3604, 538, 6477, 7695, 538, 4829, 13733, 630, 2102, 639, 667, 4592, 32166, 1070, 1210, 713, 8038, 689, 513, 2249, 6006, 4099, 543, 824, 13733, 9575, 693, 1010, 2160, 24184, 19887, 543, 693, 519, 2160, 24184, 2146, 4677, 11003, 24050, 563, 20124, 676, 281, 12832, 15614, 717, 20234, 601, 454, 1692, 27723, 1114, 2831, 12446, 693, 519, 1482, 1560, 1544, 610, 4806, 540, 15022, 3512, 566, 814, 1279, 1044, 513, 598, 1495, 5300, 540, 11095, 7350, 563, 3719, 1631, 267, 7064, 547, 519, 10477, 3541, 686, 699, 540, 513, 3552, 4829, 8038, 267, 9676, 593, 513, 11003, 24050, 676, 513, 2160, 540, 16855, 5336, 611, 2581, 2022, 28273, 28118, 2875, 267, 3744, 723, 1044, 2111, 547, 3561, 513, 4686, 1383, 540, 7636, 19427, 267, 519, 1184, 676, 799, 1114, 2831, 946, 519, 1482, 6090, 547, 14578, 6427, 2147, 1560, 3270, 543, 3889, 563, 16240, 538, 519, 1699, 3390, 630, 13971, 269, 476, 2641, 264, 540, 519, 4760, 7186, 267, 513, 1895, 3366, 676, 1530, 534, 2961, 2651, 543, 12832, 15614, 717, 20234, 601, 540, 519, 20999, 24806, 6481, 4659, 630, 295, 295, 11085, 264, 693, 772, 310, 5336, 611, 2581, 267, 6257, 519, 4719, 6127, 602, 1852, 519, 4778, 543, 3270, 593, 4829, 8038, 705, 3256, 839, 269, 634, 1353, 5267, 602, 519, 2241, 25244, 540, 513, 16606, 3815, 267, 513, 3940, 602, 666, 12622, 547, 5027, 543, 3310, 922, 2534, 267, 949, 581, 3743, 585, 12044, 519, 4763, 540, 1560, 2681, 3270, 1851, 1644, 3662, 2249, 563, 257, 4263, 519, 3308, 1377, 267, 4720, 28197, 3294, 2437, 2961, 2651, 6941, 269, 834, 1103, 4167, 338, 7960, 12209, 269, 20002, 7960, 12209, 269, 645, 1846, 7960, 12209, 269, 634, 2243, 649, 616, 6998, 568, 910, 538, 1644, 2831, 899, 7786, 267, 585, 1383, 910, 1705, 789, 12446, 693, 891, 1560, 4566, 610, 23598, 538, 519, 1482, 1259, 24350, 3519, 1597, 1304, 569, 267, 519, 2626, 729, 1336, 609, 519, 948, 540, 513, 3552, 4829, 8038, 267, 9676, 676, 717, 20234, 601, 267, 513, 2022, 28273, 28118, 8284, 269, 623, 2720, 5224, 1010, 15908, 540, 10655, 543, 1062, 520, 1944, 7786, 2282, 513, 3574, 539, 8778, 2673, 547, 26267, 1261, 2074, 267, 513, 8027, 1950, 585, 772, 310, 5336, 611, 2581, 1053, 543, 741, 3885, 267, 717, 20234, 601, 9676, 513, 3552, 4829, 8038, 602, 6743, 1360, 1454, 899, 519, 2249, 667, 4592, 32166, 14264, 690, 2120, 267, 519, 960, 1817, 572, 540, 1082, 2413, 11976, 20682, 563, 19285, 1336, 513, 667, 4592, 32166, 609, 513, 4806, 540, 6477, 7695, 2147, 547, 14264, 690, 2120, 267, 1498, 713, 2249, 729, 15069, 1360, 11397, 2437, 717, 20234, 601, 6941, 269, 834, 296, 26870, 621, 543, 6594, 621, 267, 543, 1336, 602, 519, 11976, 5817, 922, 20119, 4806, 729, 2147, 547, 14264, 690, 2120, 4799, 3528, 9236, 519, 7636, 25029, 540, 519, 9676, 8038, 267, 543, 824, 8038, 2249, 2879, 1563, 610, 6382, 9715, 676, 717, 20234, 601, 267, 519, 16855, 1895, 729, 2111, 547, 1265, 4719, 1455, 8017, 2066, 476, 1724, 2249, 8720, 519, 1585, 8371, 540, 519, 4829, 8038, 1920, 563, 5445, 1336, 602, 513, 1455, 5444, 1634, 607, 11313, 289, 878, 8584, 1532, 2350, 273, 685, 568, 28729, 6766, 910, 17408, 8898, 676, 16606, 2188, 910, 547, 3132, 513, 2647, 2039, 540, 4806, 543, 2681, 6477, 7695, 593, 519, 705, 3256, 839, 540, 4829, 13733, 2066, 1082, 2249, 563, 763, 6602, 540, 713, 1383, 540, 7636, 19427, 267, 2687, 547, 2961, 2651, 543, 717, 20234, 601, 267, 2488, 27563, 609, 1007, 5813, 883, 875, 6090, 602, 616, 3838, 676, 1082, 2831, 666, 581, 1031, 538, 1114, 2081, 547, 3310, 1560, 4566, 563, 20442, 4941, 547, 917, 267, 616, 891, 1919, 15385, 519, 1482, 8115, 547, 1205, 547, 513, 5551, 10278, 2437, 2961, 2651, 6941, 269, 834, 763, 2626, 267, 649, 1336, 267, 729, 9811, 543, 1100, 269, 1703, 616, 824, 2081, 2066, 519, 5757, 269, 27029, 1103, 930, 8320, 267, 2961, 2651, 543, 717, 20234, 601, 1336, 602, 519, 4719, 7271, 610, 8115, 547, 3310, 519, 5444, 729, 17808, 269, 834, 2005, 729, 711, 1930, 585, 1870, 538, 930, 540, 891, 2516, 2437, 2961, 2651, 3081, 269, 834, 3719, 1018, 649, 4121, 729, 602, 2147, 630, 7853, 264, 3270, 666, 11457, 538, 1312, 607, 2831, 946, 519, 1482, 2619, 610, 513, 1114, 8905, 257, 547, 519, 1482, 1439, 563, 288, 1644, 7271, 949, 581, 693, 960, 538, 519, 5432, 14799, 12704, 27134, 267, 2961, 2651, 5267, 267, 607, 621, 568, 1634, 602, 835, 666, 1205, 834, 29539, 2903, 338, 540, 1114, 3270, 1210, 519, 1482, 6090, 269, 769, 602, 2013, 267, 4763, 568, 12913, 998, 519, 1482, 7271, 563, 257, 2791, 666, 1491, 835, 630, 2102, 2045, 264, 6345, 267, 512, 28310, 609, 621, 543, 1205, 782, 891, 1114, 3270, 2437, 646, 3081, 269, 834, 3719, 596, 666, 1869, 1205, 2147, 3270, 1510, 15700, 519, 1482, 11453, 2437, 646, 3081, 563, 291, 1751, 568, 513, 1883, 1448, 267, 3081, 717, 20234, 601, 267, 1317, 621, 568, 606, 1271, 2460, 540, 2067, 1686, 267, 543, 922, 12105, 543, 11095, 13279, 616, 711, 1134, 6956, 676, 27563, 563, 257, 2252, 596, 1413, 693, 824, 2831, 910, 7314, 267, 585, 3236, 910, 596, 3580, 1294, 513, 1360, 3376, 2039, 540, 2681, 3270, 602, 616, 1175, 1114, 6772, 904, 593, 519, 1482, 1560, 1544, 269, 1411, 666, 8831, 713, 6772, 599, 4341, 547, 2244, 25658, 267, 4622, 15315, 267, 23832, 18346, 267, 17984, 543, 865, 593, 2437, 646, 3081, 563, 10303, 519, 3270, 616, 1950, 543, 741, 2039, 568, 3573, 267, 621, 568, 1419, 10924, 602, 519, 11976, 602, 20690, 873, 616, 1950, 269, 1809, 519, 16855, 1353, 267, 717, 20234, 601, 3081, 267, 5267, 602, 519, 7636, 4493, 585, 971, 4763, 666, 581, 7522, 539, 1524, 547, 513, 21230, 2241, 4719, 3014, 1544, 563, 20442, 4076, 6743, 693, 8038, 2249, 602, 616, 538, 519, 1482, 2039, 540, 24466, 27754, 607, 519, 2777, 3032, 267, 519, 682, 16985, 267, 519, 1750, 29609, 543, 519, 20562, 615, 2437, 646, 3081, 563, 1103, 602, 2796, 267, 717, 20234, 601, 3081, 267, 621, 9727, 875, 513, 1906, 6090, 267, 6766, 538, 11029, 2081, 267, 666, 1852, 1560, 23732, 267, 7801, 543, 1273, 614, 940, 2066, 519, 3662, 10806, 563, 24404, 787, 8061, 8636, 476, 2568, 279, 268, 26783, 268, 279, 2764, 273, 267, 4757, 11333, 2593, 454, 25321, 307, 16898, 281, 12832, 15614, 717, 20234, 601, 476, 2568, 279, 268, 26783, 268, 4281, 280, 279, 267, 18078, 17106, 11333, 3820, 3248, 5353, 534, 2961, 2651, 476, 2568, 279, 268, 26783, 268, 277, 866, 272, 267, 4757, 11333, 2593, 454, 24404, 787, 8061, 8636, 1923, 31823, 256, 0, 2691, 966, 302, 273, 266, 23465, 609, 23621, 273, 266, 538, 3679, 3070, 519, 2472, 616, 966, 273, 266, 543, 23621, 302, 273, 266, 269, 513, 264, 1548, 568, 519, 1761, 540, 519, 1591, 623, 339, 270, 309, 302, 273, 31956, 966, 273, 266, 2260, 307, 328, 302, 273, 31956, 23621, 273, 266, 270, 303, 339, 952, 782, 2249, 616, 513, 476, 272, 631, 269, 536, 264, 3503, 519, 11466, 3586, 4082, 543, 5173, 519, 1871, 540, 519, 11466, 3586, 563, 8923, 1294, 519, 7923, 3758, 585, 519, 4628, 30149, 1966, 4433, 1040, 25756, 3154, 568, 3812, 676, 519, 5114, 540, 9252, 609, 834, 4248, 3154, 2437, 606, 1226, 574, 6897, 7848, 540, 670, 273, 543, 2910, 5833, 676, 519, 5114, 540, 9252, 609, 5755, 269, 589, 6908, 540, 834, 4248, 3154, 257, 6404, 609, 9252, 568, 5293, 936, 513, 18463, 547, 6460, 2910, 547, 2910, 273, 676, 519, 5114, 281, 670, 273, 302, 14116, 264, 30492, 763, 2561, 541, 9850, 3254, 2630, 5161, 540, 476, 274, 2837, 18191, 871, 9643, 476, 272, 269, 1822, 700, 15620, 4448, 676, 3247, 322, 4169, 269, 10089, 321, 589, 3568, 513, 7848, 540, 670, 273, 302, 14116, 1070, 2910, 273, 14116, 1070, 543, 715, 273, 14116, 264, 693, 476, 1839, 5232, 595, 543, 513, 2698, 2604, 540, 476, 276, 5038, 6515, 32074, 269, 10089, 321, 645, 568, 8900, 543, 568, 4371, 693, 513, 2837, 540, 910, 3583, 5232, 595, 269, 10089, 321, 595, 568, 849, 8900, 543, 568, 4371, 693, 513, 2837, 540, 910, 3422, 2554, 516, 454, 273, 301, 15477, 337, 14116, 264, 1341, 5696, 273, 14116, 264, 2999, 955, 285, 476, 273, 27778, 17472, 14116, 264, 7711, 11466, 269, 12971, 27778, 568, 476, 4097, 260, 4744, 18620, 693, 476, 1839, 19592, 4181, 290, 543, 2698, 2604, 568, 476, 271, 269, 1839, 693, 332, 269, 12433, 918, 335, 543, 918, 322, 269, 594, 917, 875, 547, 1205, 918, 335, 543, 918, 322, 609, 2016, 1948, 540, 18253, 7711, 11466, 267, 855, 3112, 4137, 856, 875, 547, 1205, 621, 689, 519, 2600, 4744, 27937, 269, 594, 6836, 3403, 1154, 1585, 2418, 602, 594, 2219, 530, 518, 454, 21296, 3903, 2243, 827, 1018, 666, 1689, 519, 5223, 540, 2472, 547, 2746, 1218, 538, 606, 11466, 31529, 7848, 563, 7617, 540, 519, 1739, 786, 10691, 1689, 519, 5223, 540, 519, 2472, 547, 2746, 1218, 538, 606, 11466, 7848, 585, 513, 3114, 5114, 5473, 31529, 2249, 286, 513, 269, 2810, 519, 2604, 536, 269, 13302, 519, 4320, 524, 269, 1840, 540, 513, 4396, 2746, 656, 546, 269, 8851, 540, 513, 575, 848, 639, 1587, 552, 269, 9039, 540, 519, 1657, 454, 2690, 519, 1062, 2910, 14116, 11924, 295, 273, 302, 14116, 264, 2999, 734, 285, 2910, 273, 14116, 11924, 295, 273, 14116, 264, 918, 335, 568, 476, 272, 269, 277, 693, 476, 12010, 298, 269, 1403, 476, 271, 269, 4335, 693, 332, 2910, 14116, 264, 543, 476, 271, 269, 4335, 693, 332, 670, 273, 302, 14116, 264, 616, 5916, 538, 513, 20177, 1166, 2532, 267, 1018, 568, 519, 11466, 9864, 2604, 540, 2910, 273, 14116, 21663, 513, 269, 476, 271, 269, 29344, 693, 332, 536, 269, 476, 271, 269, 28143, 693, 332, 524, 269, 476, 271, 269, 5325, 272, 693, 332, 546, 269, 476, 271, 269, 2568, 279, 693, 332, 552, 269, 476, 271, 269, 280, 5655, 693, 332, 454, 301, 527, 549, 1910, 331, 17296, 10920, 5099, 2687, 547, 713, 5114, 281, 476, 273, 17472, 5141, 14116, 264, 630, 3225, 10329, 1129, 264, 476, 273, 17472, 14116, 11924, 5141, 273, 14116, 264, 476, 271, 269, 7785, 693, 332, 540, 6491, 549, 1910, 331, 17296, 568, 20177, 538, 513, 1166, 2532, 543, 4847, 547, 3914, 11466, 269, 1403, 476, 2767, 260, 540, 519, 12971, 5141, 10920, 5099, 267, 1018, 568, 519, 552, 336, 592, 756, 8922, 3586, 585, 519, 5114, 286, 513, 269, 476, 271, 269, 21916, 5952, 536, 269, 476, 271, 269, 4281, 272, 524, 269, 476, 271, 269, 27157, 271, 546, 269, 476, 271, 269, 24907, 552, 563, 2690, 519, 5114, 2630, 267, 519, 9864, 12503, 540, 9362, 693, 11466, 616, 607, 5205, 281, 670, 273, 284, 278, 269, 272, 343, 1015, 28260, 276, 693, 332, 267, 1849, 273, 284, 273, 269, 276, 343, 1015, 28260, 277, 693, 332, 267, 543, 670, 5141, 284, 274, 269, 271, 520, 332, 269, 1548, 568, 519, 1871, 540, 519, 11466, 3586, 918, 335, 286, 670, 273, 14116, 11924, 5141, 273, 14116, 264, 815, 476, 273, 295, 5141, 14116, 994, 2690, 799, 540, 519, 1739, 6547, 1281, 918, 322, 3160, 918, 335, 286, 513, 269, 595, 273 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 634, 15669, 28279, 721, 267, 6026, 1864, 267, 521, 543, 2219, 560, 11467, 602, 948, 596, 1020, 707, 1378, 1448, 540, 2070, 269, 1717, 267, 1247, 596, 960, 998, 1142, 1900, 269, 5637, 540, 799, 1331, 267, 646, 11438, 513, 7784, 267, 519, 1840, 540, 519, 1936, 2209, 1378, 30031, 269, 7345, 16037, 2390, 4466, 856, 602, 1352, 568, 711, 513, 20424, 7024, 1200, 269, 4762, 4310, 543, 1253, 571, 9853, 267, 5768, 582, 6645, 519, 15881, 1807, 1352, 1185, 1100, 2856, 269, 1306, 952, 1352, 941, 8697, 5370, 269, 589, 3106, 13390, 1081, 1010, 3735, 4651, 10756, 2419, 1258, 1834, 540, 513, 2669, 2062, 339, 1245, 1557, 7300, 7151, 20048, 1834, 267, 513, 12280, 267, 2062, 339, 1245, 267, 1557, 15005, 910, 19201, 974, 5178, 810, 634, 4107, 26735, 12510, 563, 2419, 1258, 1834, 540, 513, 2669, 2062, 339, 1245, 1557, 7300, 7151, 20048, 1834, 540, 513, 2669, 2062, 339, 1245, 267, 1557, 2243, 1775, 723, 1775, 991, 930, 563, 2419, 1258, 1834, 540, 513, 2669, 2062, 339, 1245, 1557, 3367, 7151, 20048, 1834, 540, 513, 12280, 5983, 339, 1245, 3848, 476, 272, 12834, 5811, 689, 22175, 2419, 11301, 563, 2419, 1258, 1834, 540, 513, 2669, 2062, 339, 1245, 1557, 7300, 8281, 20048, 1834, 540, 513, 12280, 5983, 339, 1245, 2433, 23397, 12834, 23397, 7666, 728, 563, 2419, 1258, 1834, 540, 513, 2669, 2062, 339, 1245, 1557, 7300, 7151, 1977, 14134, 338, 281, 634, 267, 1289, 540, 519, 8187, 676, 10793, 5507, 563, 2419, 1258, 1834, 540, 513, 2669, 2062, 339, 1245, 1557, 7300, 8281, 13159, 6651, 593, 267, 2239, 4828, 267, 1603, 11762, 267, 6201, 563, 2419, 1258, 1834, 540, 513, 2669, 2062, 339, 1245, 1557, 7300, 8281, 22518, 267, 5126, 267, 1557, 267, 3584, 267, 12819, 910, 476, 1708, 271, 11762, 27908, 563, 2419, 1258, 1834, 540, 513, 2669, 2062, 339, 1245, 1557, 7300, 7151, 10266, 1652, 7010, 1280, 2328, 1250, 1557, 585, 803, 634, 12700, 563, 2419, 1258, 1834, 540, 513, 2669, 2062, 339, 1245, 1557, 7300, 7151, 670, 2075, 345, 690, 281, 4317, 5525, 2069, 568, 1883, 547, 8600, 563, 2419, 1258, 1834, 540, 513, 2669, 2062, 339, 1245, 1557, 3367, 7151, 18830, 267, 3662, 267, 4152, 267, 1557, 267, 538, 589, 17460, 2986, 25980, 563, 4517, 513, 1842, 267, 2921, 1114, 3029, 2429, 519, 3209, 269, 16114, 328, 6210, 568, 8165, 998, 513, 13793, 1478, 538, 1931, 547, 1294, 519, 21674, 269, 25737, 901, 11905, 267, 5830, 3625, 666, 581, 11213, 267, 519, 15669, 6941, 602, 594, 3630, 29538, 715, 553, 541, 6822, 340, 1027, 15117, 950, 1352, 729, 7820, 269, 634, 22216, 787, 2107, 577, 731, 777, 657, 267, 606, 20451, 602, 786, 6961, 1271, 269, 32088, 476, 1321, 628, 6103, 20048, 1834, 540, 513, 12280, 5983, 339, 1245, 769, 16653, 4258, 16223, 990, 338, 634, 22216, 787, 2107, 577, 731, 543, 28792, 25661, 320, 6004, 4302, 345, 338, 20048, 1834, 540, 513, 12280, 5983, 339, 1245, 269, 20048, 1834, 540, 513, 12280, 5983, 339, 1245, 777, 657, 267, 543, 602, 16114, 328, 6210, 814, 4566, 547, 798, 519, 1482, 547, 6555, 2088, 7579, 269, 16610, 540, 5851, 538, 513, 1842, 267, 855, 1134, 948, 1205, 596, 936, 519, 1208, 335, 543, 1628, 513, 1390, 7291, 585, 707, 1957, 269, 7316, 3502, 10756, 19324, 2403, 2016, 519, 10034, 9110, 802, 1164, 6788, 543, 14969, 17008, 269, 1358, 616, 519, 2367, 945, 616, 2469, 547, 6146, 16114, 328, 6210, 715, 553, 541, 269, 12344, 594, 666, 1448, 596, 547, 606, 1935, 602, 1131, 960, 269, 634, 645, 25615, 30671, 547, 1305, 3723, 538, 519, 4884, 568, 535, 2117, 673, 269, 589, 2603, 568, 8345, 538, 713, 1101, 5037, 269, 1773, 322, 573, 553, 5821, 547, 3713, 606, 522, 5443, 538, 16114, 328, 31310, 5326, 814, 519, 1482, 1198, 1492, 15881, 1807, 4667, 547, 561, 5424, 593, 782, 519, 1082, 1919, 602, 1223, 723, 15286, 16114, 328, 31310, 12638, 10756, 306, 21468, 6210, 715, 553, 1513, 12638, 676, 31883, 543, 623, 32631, 30647, 9222, 729, 3361, 269, 1261, 4422, 10478, 585, 29469, 543, 530, 752, 839, 1773, 322, 5866, 6931, 3266, 538, 519, 1184, 269, 12540, 582, 23986, 1513, 741, 7391, 543, 678, 16640, 1753, 269, 654, 3994, 24500, 1223, 1419, 10413, 10756, 2419, 1258, 1834, 540, 513, 2669, 2062, 339, 1245, 1557, 7300, 7151, 16179, 267, 1557, 910, 12333, 14288, 19536, 269, 910, 476, 14689, 271, 9293, 454, 294, 2117, 807, 3057, 4302, 345, 521, 20048, 1834, 540, 513, 12280, 5983, 339, 1245, 6645, 540, 519, 5910, 1245, 2669, 540, 513, 812, 267, 16114, 328, 6210, 715, 553, 541, 907, 20048, 1834, 540, 513, 12280, 5983, 339, 1245, 907, 6423, 513, 2347, 1592, 540, 519, 3197, 538, 20048, 1834, 540, 513, 12280, 5983, 339, 1245, 543, 538, 3829, 9382, 540, 16114, 328, 6210, 715, 553, 541, 543, 4911, 11253, 30647, 9222, 907, 4429, 2419, 1258, 1834, 1557, 4168, 623, 10976, 538, 519, 20048, 1834, 540, 513, 12280, 5983, 339, 1245, 8672, 540, 2070, 568, 513, 1390, 1907, 1031, 676, 4589, 547, 948, 1020, 1650, 13602, 907, 6754, 631, 2135, 5674, 2296, 5988, 476, 2764, 267, 476, 1001, 271, 4828, 7726, 281, 9181, 519, 3096, 540, 7395, 673, 30527, 543, 922, 4644, 538, 519, 3209, 20048, 2873, 540, 513, 12280, 5983, 339, 1245, 907, 18786, 606, 1557, 593, 28792, 25661, 807, 3057, 4302, 345, 781, 20048, 1834, 540, 513, 12280, 5983, 339, 1245, 27085, 4429, 2419, 1258, 1834, 540, 513, 2669, 2062, 339, 1245, 1557, 3367, 7151, 570, 617, 904, 2979, 6780, 568, 1426, 269, 910, 476, 1911, 277, 9293, 454, 16391, 1125, 707, 4555, 543, 811, 693, 938, 13561, 1673, 22929, 1744, 15879, 641, 5675, 6997, 907, 1635, 28792, 25661, 807, 3057, 4302, 345, 907, 4429, 1607, 12744, 2982, 2985, 476, 272, 910, 476, 274, 856, 540, 476, 276, 3817, 907, 19201, 974, 5178, 810, 476, 273, 270, 1556, 270, 866, 634, 4107, 26735, 12510, 7861, 574, 769, 28792, 3057, 4302, 345, 338, 20048, 1834, 540, 513, 12280, 5983, 339, 1245, 267, 519, 15669, 1427, 20635, 519, 1650, 540, 606, 2680, 995, 15964, 602, 3576, 1747, 538, 513, 4884, 538, 12052, 907, 634, 4884, 2418, 8956, 267, 18468, 621, 568, 606, 1271, 5837, 16023, 907, 4429, 2419, 1258, 1834, 540, 513, 2669, 2062, 339, 1245, 1557, 3367, 7151, 6406, 267, 27136, 17171, 267, 5758, 269, 910, 476, 14983, 271, 9293, 454, 2419, 1258, 1834, 540, 513, 12280, 5983, 339, 1245, 676, 28792, 25661, 320, 6004, 4302, 345, 907, 3399, 2659, 5131, 23632, 907, 1548, 568, 9059, 17779, 538, 2078, 547, 28792, 25661, 807, 3057, 4302, 345, 781, 20048, 1834, 540, 513, 12280, 5983, 339, 1245, 27085, 4429, 1103, 519, 3209, 20048, 2873, 540, 513, 12280, 5983, 339, 1245, 267, 875, 1281, 519, 6249, 540, 8956, 9305, 547, 519, 907, 634, 1936, 2209, 31117, 936, 5634, 855, 15151, 2629, 3877, 306, 21468, 31310, 946, 540, 519, 4395, 7450, 568, 835, 1383, 540, 1082, 529, 1945, 540, 513, 19792, 5991, 334, 767, 7708, 701, 267, 543, 1568, 547, 896, 1467, 519, 9490, 12491, 527, 1464, 540, 519, 12638, 907, 4429, 2419, 1258, 1834, 540, 513, 2669, 2062, 339, 1245, 1557, 7300, 7151, 4828, 910, 476, 28638, 271, 9293, 269, 910, 476, 14028, 280, 9293, 454, 2419, 1258, 1834, 540, 513, 12280, 5983, 339, 1245, 949, 581, 4330, 607, 513, 19792, 1650, 907, 769, 519, 1101, 4845, 267, 621, 568, 7000, 602, 16114, 328, 6210, 715, 553, 541, 786, 581, 7166, 267, 855, 519, 5467, 1590, 3136, 2542, 547, 1265, 856, 945, 7166, 1864, 543, 1946, 907, 634, 3159, 540, 519, 1650, 568, 4760, 2065, 267, 3056, 3988, 547, 3494, 602, 519, 1271, 5013, 907, 8437, 1934, 4945, 1934, 4945, 1934, 4945, 1934, 4945, 1934, 2792, 3457, 1557, 6121, 320, 795, 344, 1054, 328, 1557, 5856, 25847, 5428, 1282, 11636, 5736, 1557, 31893, 1292, 533, 27232, 328, 3905, 320, 1557, 948, 1071, 528, 1195, 7823, 5614, 907, 4429, 7617, 1331, 4250, 267, 538, 513, 2596, 267, 891, 4574, 941, 2854, 5097, 676, 1053, 543, 1683, 2565, 2079, 540, 20048, 1834, 540, 513, 12280, 5983, 339, 1245, 269, 4256, 4128, 585, 3257, 865, 267, 8709, 638, 880, 519, 23487, 539, 10145, 6656, 540, 1957, 269, 8841, 5362, 855, 7815, 532, 540, 519, 17544, 22509, 17495, 3298, 519, 5208, 602, 786, 2663, 581, 6420, 16114, 328, 6210, 269, 5696, 583, 531, 1259, 267, 543, 23998, 267, 5335, 592, 640, 267, 1459, 519, 5467, 609, 938, 1101, 4030, 883, 519, 3152, 2146, 338, 635, 13109, 538, 519, 6760, 10756, 307, 12350, 1014, 2511, 1557, 1383, 454, 5825, 1686, 6780, 948, 907, 4208, 798, 596, 1589, 707, 2816, 786, 2285, 596, 1082, 3255, 27085, 4429, 16032, 4661, 1557, 3584, 454, 3674, 621, 3020, 602, 621, 666, 581, 1031, 585, 16392, 5301, 27085, 901, 1522, 2285, 596, 513, 1114, 5086, 689, 3025, 1714, 4513, 1557, 907, 654, 19342, 814, 3144, 1010, 11213, 8823, 543, 8756, 539, 873, 883, 606, 5863, 3561, 799, 12225, 2873, 1010, 1034, 7920, 4664, 1169, 1900, 2059, 519, 1259, 907, 4429, 32354, 267, 32053, 267, 4622, 454, 7661, 267, 594, 3513, 2736, 1524, 1079, 540, 891, 3370, 2852, 1557, 1806, 543, 907, 5589, 8816, 513, 1480, 1557, 5856, 547, 2743, 519, 21120, 543, 6060, 909, 547, 519, 1665, 907, 4429, 15933, 267, 1651, 267, 513, 12834, 267, 23590, 306, 1539, 1108, 454, 288, 7033, 5202, 540, 2353, 1411, 10261, 547, 5700, 827, 2622, 2782, 907, 634, 3656, 1436, 540, 15267, 568, 1279, 936, 16746, 585, 1896, 4128, 907, 4429, 10890, 267, 1416, 1557, 2433, 15928, 267, 24310, 267, 27083, 454, 12024, 1079, 5011, 540, 519, 11777, 267, 23874, 5026, 849, 723, 741, 2671, 540, 5294, 543, 931, 907, 594, 557, 3893, 930, 4930, 547, 6952, 909, 593, 1631, 907, 4429, 24730, 6115, 2961, 591, 593, 267, 2069, 454, 1607, 786, 12701, 6267, 2417, 907, 4828, 267, 1957, 593, 5900, 6421, 19331, 731, 4521, 543, 907, 4429, 3674, 2112, 2479, 25432, 20582, 29845, 519, 10432, 454, 306, 21468, 6210, 568, 4666, 267, 513, 1780, 518, 2421, 6645, 1200, 602, 922, 1932, 3735, 269, 5808, 568, 9277, 547, 3643, 519, 4884, 602, 6640, 593, 1010, 5757, 29539, 269, 1261, 568, 9599, 547, 1294, 519, 21674, 269, 9197, 333, 3821, 632, 19448, 18665, 518, 974, 606, 9629, 3385, 568, 513, 2239, 540, 27337, 4328, 9161, 543, 1514, 6551, 7190, 10756, 22129, 267, 3408, 267, 1557, 267, 536, 691, 548, 2421, 454, 1607, 1101, 4367, 547, 519, 6146, 619, 28420, 873, 711, 607, 3226, 6562, 532, 610, 1973, 628, 1009, 344, 269, 8616, 621, 568, 1930, 547, 9118, 12496, 607, 547, 519, 1433, 777, 657, 269, 24415, 4621, 616, 8036, 543, 1031, 547, 6968, 10352, 269, 634, 2703, 802, 616, 22125, 609, 1004, 7996, 585, 519, 21674, 269, 28792, 25661, 807, 3057, 4302, 345, 777, 657, 267, 3742, 21771, 267, 1498, 1352, 568, 513, 1753, 7853, 267, 12225, 1834, 540, 513, 12280, 5983, 339, 1245, 269, 1656, 1256, 7925, 267, 521, 20048, 1834, 540, 513, 12280, 5983, 339, 1245, 568, 513, 5266, 1507, 1433, 269, 634, 15881, 2209, 3993, 2141, 4667, 547, 2226, 5728, 16060, 540, 2792, 609, 519, 824, 10034, 15161, 269, 7046, 267, 855, 607, 9642, 569, 13680, 267, 521, 2949, 3483, 10756, 14197, 4828, 5675, 9669, 910, 4828, 5675, 4741, 454, 2419, 1258, 1834, 540, 513, 12280, 5983, 339, 1245, 7698, 269, 7345, 16037, 6411, 856, 540, 8956, 950, 646, 7024, 4911, 11253, 547, 1200, 1753, 269, 5808, 5156, 3576, 2476, 267, 519, 4395, 7450, 540, 519, 2777, 10741, 5196, 519, 4884, 4009, 269, 2755, 519, 1394, 7450, 10741, 5196, 519, 2703, 802, 269, 1261, 729, 23689, 676, 519, 30647, 9222, 14552, 269, 3962, 804, 583, 2583, 513, 17180, 20386, 538, 11356, 269, 7316, 519, 21674, 568, 5921, 547, 12446, 10756, 301, 697, 630, 13957, 4432, 773, 654, 19342, 267, 3057, 542, 654, 19342, 2433, 2433, 544, 281, 7734, 454, 30874, 21771, 267, 2820, 21590, 552, 24809, 4743, 602, 16114, 328, 6210, 568, 2907, 4666, 2417, 11363, 519, 12491, 527, 1464, 540, 1010, 12638, 269, 590, 609, 4112, 534, 725, 267, 519, 15881, 1807, 7024, 547, 519, 1554, 540, 16114, 328, 31310, 2669, 269, 9889, 282, 607, 4166, 607, 519, 21674, 10596, 269, 16114, 328, 31310, 6505, 3043, 28459, 4667, 547, 1665, 1010, 12556, 527, 568, 3592, 30758, 547, 581, 26911, 676, 1973, 269, 2353, 519, 533, 20234, 543, 14039, 1214, 1590, 1229, 538, 1010, 8956, 19039, 569, 4744, 11510, 269, 27254, 568, 2648, 666, 581, 3144 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 5425, 8464, 267, 3379, 547, 4079, 609, 1164, 1426, 3354, 563, 19102, 2084, 2157, 540, 1426, 22584, 941, 2404, 609, 8519, 2168, 543, 2790, 1072, 2298, 540, 1272, 8464, 269, 901, 2078, 729, 711, 6045, 676, 15295, 2188, 267, 14227, 2188, 267, 6142, 267, 610, 635, 12643, 7190, 11411, 269, 901, 1353, 5267, 960, 568, 2877, 547, 11574, 519, 1764, 540, 1514, 1981, 267, 971, 607, 1426, 22584, 267, 593, 2298, 540, 1272, 538, 4079, 267, 543, 1174, 11444, 543, 6127, 585, 713, 2078, 563, 15933, 22584, 568, 3989, 607, 519, 3908, 610, 7334, 1569, 547, 267, 610, 2702, 547, 10536, 267, 6484, 958, 7850, 1426, 630, 4785, 6395, 1040, 769, 476, 1708, 271, 267, 936, 476, 4343, 2929, 610, 476, 1556, 269, 279, 260, 540, 2475, 4079, 5030, 538, 1426, 538, 31261, 10820, 267, 609, 476, 279, 260, 8989, 1970, 1426, 3354, 543, 476, 274, 269, 279, 260, 8989, 1360, 1970, 1426, 3354, 1547, 15845, 2982, 1426, 22584, 568, 9244, 2404, 609, 513, 2039, 540, 1072, 2175, 267, 971, 607, 13119, 267, 18337, 16050, 2068, 267, 3987, 267, 17537, 267, 8482, 267, 2860, 267, 10447, 267, 12263, 267, 5312, 30126, 17422, 2068, 267, 8459, 2068, 267, 4965, 267, 543, 7687, 538, 2238, 1496, 273, 267, 274, 267, 275, 267, 276, 4940, 5253, 538, 31261, 2043, 723, 2362, 3928, 540, 6595, 8257, 11564, 543, 6413, 3074, 1256, 1310, 8051, 585, 824, 14227, 2188, 1547, 4329, 267, 1426, 22584, 13514, 513, 8101, 2883, 11411, 593, 2486, 8051, 585, 606, 5993, 1269, 6507, 269, 276, 5479, 538, 3606, 1072, 1416, 18820, 1496, 277, 267, 476, 278, 14073, 11693, 922, 9860, 267, 2404, 8801, 1072, 4093, 267, 543, 2799, 3782, 3790, 267, 3395, 3007, 2509, 5466, 1426, 22584, 607, 513, 1514, 991, 568, 2921, 1747, 2066, 1896, 3318, 2564, 7239, 267, 1072, 6142, 2628, 619, 267, 543, 3782, 3906, 945, 723, 16539, 538, 543, 4363, 9584, 585, 1426, 22584, 609, 29748, 547, 1426, 2200, 1496, 279, 267, 280, 267, 1015, 267, 1556, 267, 1321, 4940, 2755, 971, 3007, 568, 7674, 547, 1332, 519, 2963, 3490, 585, 875, 547, 2232, 1426, 22584, 693, 513, 2551, 1377, 267, 972, 2611, 10616, 538, 1620, 519, 1764, 602, 1426, 22584, 814, 593, 1072, 4567, 693, 519, 2551, 1377, 269, 13018, 267, 972, 568, 991, 547, 2417, 1174, 519, 2078, 1063, 1426, 22584, 543, 3461, 4080, 4093, 267, 12077, 1072, 1644, 2298, 540, 1272, 630, 16281, 304, 334, 299, 1070, 1367, 8226, 540, 835, 779, 2168, 543, 2790, 1072, 4567, 607, 1134, 519, 2188, 602, 3310, 741, 8647, 2073, 547, 2417, 1217, 1426, 22584, 7459, 689, 513, 11455, 29459, 563, 7212, 1585, 2090, 723, 12006, 519, 11201, 2078, 1063, 1426, 22584, 543, 15679, 304, 334, 299, 538, 2489, 1496, 1691, 267, 1428, 267, 1626, 267, 1704, 267, 1240, 267, 866, 267, 736, 267, 2641, 3910, 972, 568, 3908, 1702, 593, 2436, 513, 9570, 1700, 24978, 2078, 6818, 1063, 1426, 22584, 543, 15679, 304, 334, 299, 543, 2436, 519, 2078, 568, 5812, 2066, 1312, 2168, 543, 2790, 1072, 11890, 540, 15679, 304, 334, 299, 693, 519, 2551, 1377, 269, 4475, 267, 713, 1957, 6663, 547, 2232, 713, 7934, 676, 6313, 519, 9570, 1700, 24978, 2078, 1063, 1426, 22584, 543, 15679, 304, 334, 299, 1210, 513, 25422, 11347, 3732, 540, 2475, 4079, 269, 1284, 24370, 1125, 602, 29083, 2157, 540, 1426, 22584, 786, 581, 2404, 609, 29083, 15679, 304, 334, 299, 543, 713, 9570, 1700, 24978, 2078, 786, 581, 5812, 2066, 1312, 2168, 543, 2790, 11890, 540, 15679, 304, 334, 299, 563, 763, 476, 1001, 277, 543, 476, 1001, 278, 6481, 5890, 754, 8132, 19937, 11752, 630, 10933, 4916, 264, 729, 9916, 607, 513, 3444, 22891, 2079, 269, 1452, 1079, 1296, 3769, 2143, 2055, 593, 1426, 22584, 543, 3769, 3800, 540, 15679, 304, 5357, 269, 634, 2407, 1032, 19597, 730, 6119, 543, 1426, 3354, 6119, 689, 519, 7622, 5057, 6119, 941, 1031, 269, 19294, 4916, 568, 513, 3084, 5619, 602, 25173, 1239, 689, 772, 2529, 269, 4961, 543, 741, 3885, 593, 3688, 971, 607, 1072, 2533, 267, 7694, 267, 543, 6142, 269, 901, 5619, 3459, 10916, 538, 476, 1960, 277, 543, 568, 13327, 523, 676, 519, 10837, 585, 16195, 3194, 543, 10866, 630, 288, 16281, 304, 264, 1547, 634, 3732, 3769, 4079, 476, 1240, 543, 4587, 945, 4196, 607, 519, 4704, 1268, 538, 519, 1426, 22584, 3758, 563, 26660, 540, 1272, 454, 763, 3119, 4093, 616, 2168, 5057, 5758, 630, 303, 5425, 264, 543, 2790, 5057, 5758, 630, 300, 5425, 1070, 1312, 540, 799, 616, 6024, 3800, 269, 634, 19294, 4916, 8682, 268, 3849, 3439, 1229, 7726, 32666, 3096, 519, 10374, 4813, 268, 1321, 2657, 11752, 19405, 476, 273, 8108, 1079, 5758, 8464, 1759, 593, 6114, 547, 891, 2055, 585, 623, 5425, 543, 631, 5425, 269, 5637, 631, 5425, 543, 623, 5425, 2708, 2185, 1883, 11890, 267, 6606, 269, 1280, 631, 5425, 891, 1331, 281, 630, 272, 264, 21755, 282, 630, 273, 264, 1514, 8647, 282, 630, 274, 264, 1909, 3929, 282, 543, 630, 275, 264, 2790, 1072, 269, 1280, 623, 5425, 891, 1331, 281, 630, 272, 264, 8647, 282, 630, 273, 264, 1909, 2168, 282, 630, 274, 264, 15629, 1928, 282, 543, 630, 275, 264, 2489, 1582, 268, 3603, 1072, 269, 7151, 2055, 1331, 281, 968, 1692, 1454, 540, 519, 942, 1282, 519, 2250, 476, 275, 4374, 723, 596, 5433, 9350, 543, 12560, 286, 5608, 543, 968, 7628, 519, 2250, 476, 275, 4374, 267, 875, 1454, 1705, 1928, 15936, 609, 707, 3339, 960, 286, 6100, 6176, 689, 782, 476, 1321, 2055, 941, 1031, 607, 851, 540, 519, 18176, 6620, 585, 1312, 519, 623, 5425, 543, 519, 631, 5425, 267, 799, 729, 6192, 676, 589, 16281, 304, 1547, 5637, 10253, 616, 20639, 1759, 593, 606, 2937, 2551, 1611, 540, 476, 2004, 267, 609, 513, 3044, 11539, 540, 476, 1015, 269, 769, 1312, 10253, 2362, 8464, 4564, 2362, 8647, 4586, 763, 3119, 4830, 4756, 568, 7622, 1426, 3354, 269, 901, 4756, 568, 1759, 593, 519, 22340, 476, 1015, 268, 14403, 16989, 5253, 8232, 17361, 543, 3105, 3332, 1496, 2537, 267, 476, 2190, 4940, 634, 6151, 6060, 729, 2813, 676, 4946, 519, 31077, 4267, 547, 519, 1739, 12987, 912, 22081, 1419, 538, 519, 2063, 476, 1789, 2395, 814, 4896, 538, 519, 7622, 14126, 2436, 1426, 1131, 2196, 856, 1354, 3478, 2724, 547, 4444, 811, 9495, 24143, 540, 476, 272, 952, 15527, 2048, 21865, 685, 610, 2048, 27271, 17483, 22081, 1419, 538, 519, 2063, 476, 1789, 2395, 1705, 519, 1426, 12349, 711, 2063, 543, 519, 1268, 270, 5264, 3835, 4769, 1405, 723, 2724, 547, 1205, 811, 9495, 24143, 540, 476, 272, 952, 15527, 2048, 21865, 685, 610, 2048, 27271, 17483, 22081, 1419, 538, 519, 2063, 476, 1789, 2395, 1223, 519, 1268, 270, 5264, 3835, 711, 6488, 547, 3548, 7059, 6980, 9495, 24143, 540, 476, 272, 952, 15527, 2048, 21865, 685, 610, 2048, 27271, 17483, 24685, 519, 2063, 476, 1789, 2395, 267, 1705, 519, 1268, 270, 5264, 3835, 2569, 610, 18178, 6980, 1317, 972, 7012, 1405, 2614, 2724, 585, 1426, 9495, 24143, 540, 476, 272, 952, 15527, 2048, 13433, 17483, 22081, 1082, 6980, 941, 1236, 5792, 538, 519, 2063, 476, 1789, 2395, 9495, 24143, 540, 476, 272, 952, 15527, 609, 476, 274, 1341, 2395, 563, 24685, 519, 2063, 476, 1789, 2395, 267, 1705, 519, 1268, 270, 5264, 3835, 2479, 3548, 1447, 1317, 972, 7012, 1405, 2614, 2724, 585, 1426, 9495, 24143, 540, 476, 272, 952, 15527, 2048, 13433, 17483, 24685, 519, 2063, 476, 1789, 2395, 267, 729, 519, 1268, 270, 5264, 3835, 2479, 17237, 855, 4769, 1405, 3548, 1317, 972, 7012, 1405, 2614, 2724, 585, 1426, 9495, 24143, 540, 476, 272, 952, 15527, 2048, 13433, 17483, 24685, 519, 2063, 476, 1789, 2395, 267, 1705, 4896, 538, 519, 7622, 6336, 2597, 1317, 972, 7012, 1405, 2614, 2724, 585, 1426, 9495, 24143, 540, 476, 272, 952, 15527, 2048, 13433, 17483, 24685, 519, 2063, 476, 1789, 2395, 267, 1705, 4896, 538, 519, 7622, 711, 3548, 585, 513, 2898, 1554, 1317, 972, 7012, 1405, 2614, 2724, 585, 1426, 9495, 24143, 540, 476, 272, 952, 15527, 2048, 13433, 17483, 22081, 1082, 2395, 538, 519, 2063, 476, 1789, 2395, 1705, 4896, 538, 519, 7622, 711, 3548, 585, 513, 2898, 1554, 1317, 972, 7012, 1405, 2614, 2724, 585, 1426, 9495, 24143, 540, 476, 272, 952, 15527, 609, 476, 274, 1341, 2395, 563, 763, 6060, 729, 14661, 865, 602, 1346, 945, 12943, 476, 274, 1341, 2395, 547, 267, 968, 6011, 1082, 6980, 941, 1236, 5792, 538, 519, 2063, 476, 1789, 2395, 9495, 607, 1134, 607, 547, 267, 968, 6011, 1082, 2395, 538, 519, 2063, 476, 1789, 2395, 1705, 4896, 538, 519, 7622, 711, 3548, 585, 513, 2898, 1554, 1317, 972, 7012, 1405, 2614, 2724, 585, 1426, 9495, 1185, 606, 3606, 476, 272, 3773, 547, 741, 2949, 6060, 269, 901, 1840, 568, 1759, 593, 25760, 1696, 620, 269, 476, 547, 1683, 4086, 1464, 609, 519, 22340, 9483, 3194, 6796, 4808, 676, 26936, 519, 476, 1789, 6377, 6885, 538, 19294, 4916, 2055, 547, 519, 476, 1321, 18881, 6885, 538, 22340, 2055, 1547, 634, 8247, 540, 713, 18176, 568, 547, 14013, 7001, 519, 10335, 540, 1426, 22584, 950, 1236, 6235, 6980, 610, 711, 4189, 585, 606, 3003, 1554, 4386, 2789, 2053, 269, 31932, 729, 3989, 607, 32222, 547, 2626, 267, 14775, 609, 968, 296, 1810, 1406, 917, 892, 610, 968, 8253, 23754, 539, 892, 547, 782, 1426, 22584, 2055, 269, 1403, 606, 1367, 12943, 693, 2547, 835, 540, 519, 2055, 267, 789, 1185, 513, 6060, 7229, 1210, 519, 3688, 609, 513, 3210, 538, 519, 10471, 563, 763, 6151, 6060, 729, 19882, 883, 476, 275, 6688, 281, 1164, 1426, 3354, 630, 16557, 540, 476, 271, 1070, 8589, 1426, 3354, 630, 16557, 540, 476, 272, 1700, 273, 1070, 1970, 1426, 3354, 630, 16557, 540, 476, 274, 1700, 276, 1070, 543, 1360, 1970, 1426, 3354, 630, 16557, 540, 476, 277, 1700, 1556, 1916, 763, 23656, 919, 3769, 2085, 630, 1240, 1700, 4510, 267, 476, 3393, 1700, 5038, 267, 476, 4792, 1341, 1070, 3023, 630, 332, 1446, 267, 4775, 1070, 15869, 270, 30710, 640, 630, 15239, 6953, 529, 13732, 6519, 267, 6348, 6953, 529, 13732, 4563, 267, 17104, 267, 824, 1070, 2069, 630, 1652, 982, 1164, 1153, 267, 1164, 1153, 10927, 267, 2852, 610, 811, 1070, 7694, 630, 655, 23903, 267, 711, 6964, 1070, 3148, 630, 300, 573, 8054, 267, 19566, 267, 3162, 267, 4639, 1070, 6710, 630, 335, 3233, 14672, 792, 4057, 281, 18016, 476, 14862, 260, 6710, 1899, 267, 1970, 4747, 281, 476, 10219, 1700, 1960, 260, 6710, 1899, 267, 1647, 4747, 281, 476, 1220, 1700, 274, 4200, 260, 6710, 1899, 267, 1164, 4747, 281, 21759, 476, 6110, 260, 6710, 1899, 1070, 543, 6142, 630, 1440, 10675, 267, 1857, 267, 796, 1231, 3293, 1916, 16954, 1637, 9193, 941, 2813, 1210, 10386, 12035, 607, 5227, 676, 19294, 4916, 269, 12726, 22097, 941, 4080, 607, 21159, 543, 5924, 1611, 609, 3044, 11539, 269, 12729, 4093, 941, 623, 5425, 543, 631, 5425, 8464, 5701, 607, 6024, 4632, 267, 1247, 519, 3119, 4830, 4756, 585, 1142, 2203, 729, 519, 476, 275, 7121, 1426, 3354, 4756, 609, 2407, 1426, 3354, 607, 519, 4704, 1895, 269, 595, 20654, 919, 3769, 2085, 267, 3023, 267, 5198, 270, 30710, 640, 267, 2069, 267, 3148, 267, 6710, 1377, 267, 6142, 4567, 267, 543, 7694, 4567, 269, 19461, 3631, 3769, 796, 611, 3286, 539, 5276, 9695, 585, 519, 4830, 2078, 1063, 1426, 3354, 543, 15679, 304, 5357, 630, 303, 5425, 543, 631, 5425, 6606, 1040, 3973, 267, 4628, 14661, 5276, 9695, 3631, 941, 2196, 609, 623, 5425, 543, 631, 5425, 607, 5094, 6364, 4632, 267, 519, 476, 275, 2275, 14394, 1426, 3354, 4756, 607, 519, 3119, 4830, 4756, 267, 543, 2085, 267, 3023, 267, 5198, 270, 30710, 640, 267, 2069, 267, 3148, 267, 6710, 1377, 267, 6142, 4567, 267, 543, 7694, 4567, 607, 23656, 919, 269, 595, 20654, 919, 941, 3769, 1759, 593, 12497, 10083, 543, 5924, 536, 21725, 533, 268, 11161, 2999, 476, 271, 269, 1839, 269, 2353, 9382, 941, 2944, 538, 681, 10189, 630, 309, 619, 542, 476, 275, 269, 271, 269, 274, 1040, 589, 533, 17032, 1447, 982, 476, 271, 269, 4962, 729, 1031, 547, 3313, 8579, 4644, 563, 763, 2698, 3732, 3769, 476, 2918, 267, 3422, 2937, 5171, 609, 1426, 3354, 1239, 267, 8204, 476, 22550, 267, 279, 3066, 267, 18458, 1875, 2987, 560, 6627, 1242, 2136, 2276, 4079, 9907, 476, 1240, 1296, 543, 4587, 269, 634, 3732, 4162, 616, 2016 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 8129, 540, 519, 6298, 1014, 3961, 543, 875, 621, 7960, 936, 942, 269, 2290, 1554, 267, 1247, 10283, 538, 606, 2228, 8468, 6131, 547, 8225, 1686, 267, 5981, 15054, 519, 2243, 281, 834, 4692, 4896, 1683, 930, 3140, 2796, 593, 519, 8129, 540, 519, 6298, 1014, 3961, 543, 875, 621, 2919, 8119, 1656, 865, 267, 824, 3755, 3838, 741, 4030, 267, 22805, 1927, 513, 9159, 9661, 2407, 540, 26208, 780, 2026, 835, 3593, 6045, 267, 519, 6298, 1014, 3961, 1101, 3576, 3597, 538, 519, 2038, 476, 1704, 628, 2540, 950, 3943, 3935, 9088, 8452, 538, 1018, 568, 1631, 25429, 32108, 267, 4516, 269, 1452, 23806, 267, 6140, 7768, 540, 6705, 543, 535, 29913, 267, 7930, 16916, 513, 13737, 2528, 7184, 23091, 609, 1312, 741, 3943, 22693, 543, 519, 3552, 267, 6552, 14099, 4478, 873, 269, 3683, 5481, 267, 519, 6298, 1014, 17069, 864, 25577, 543, 4396, 1881, 741, 2189, 6848, 2497, 6825, 676, 922, 1378, 10409, 267, 5289, 267, 543, 2757, 2853, 780, 4913, 267, 1776, 3593, 3773, 513, 10565, 2490, 547, 519, 1650, 9789, 597, 10058, 1915, 5185, 4049, 2591, 1813, 547, 18596, 3984, 1988, 1063, 5333, 543, 6628, 267, 28285, 538, 519, 3943, 543, 4095, 2782, 1282, 519, 4571, 268, 1240, 628, 2540, 269, 1879, 519, 3703, 25868, 1852, 540, 6298, 807, 630, 1066, 3139, 25429, 32108, 1070, 789, 14365, 1819, 547, 28170, 1947, 11753, 519, 6298, 1014, 11317, 883, 3703, 2528, 543, 3961, 267, 4611, 538, 519, 25337, 9835, 667, 2946, 9792, 618, 610, 4279, 5455, 515, 10052, 269, 23897, 1343, 540, 6298, 2103, 941, 30461, 689, 741, 22657, 543, 16559, 2066, 1585, 3703, 11182, 267, 1256, 607, 2484, 607, 17039, 1141, 789, 2968, 1634, 607, 595, 1690, 12584, 269, 898, 8604, 899, 741, 2899, 8686, 2320, 656, 2528, 1131, 28201, 2476, 883, 2116, 2579, 780, 3719, 1934, 781, 1141, 1919, 3893, 5963, 4277, 267, 2687, 547, 2943, 1776, 8468, 4759, 269, 21001, 1529, 3585, 267, 5103, 891, 10779, 885, 267, 519, 6298, 1014, 6891, 28815, 269, 4634, 9674, 676, 5318, 9883, 267, 789, 7307, 547, 8190, 2609, 540, 741, 19644, 5389, 543, 5293, 873, 1524, 998, 5481, 269, 16828, 267, 1082, 6298, 2103, 8120, 547, 741, 11537, 31845, 28393, 806, 1310, 5756, 538, 24815, 269, 2060, 1930, 7916, 267, 2199, 2296, 18702, 2950, 20888, 873, 1394, 267, 3056, 547, 606, 9058, 12760, 540, 4529, 910, 1945, 1100, 835, 1223, 723, 10567, 780, 7437, 713, 5385, 267, 5981, 4362, 711, 1152, 519, 6043, 540, 519, 1480, 6891, 855, 849, 519, 1379, 540, 9322, 9624, 4763, 269, 27837, 676, 713, 13414, 267, 5981, 12247, 539, 547, 5490, 4514, 883, 519, 6946, 13795, 540, 6298, 1014, 1686, 267, 9621, 547, 3565, 741, 4681, 1394, 547, 519, 8468, 269, 9741, 1705, 789, 917, 267, 789, 1932, 1131, 1404, 513, 1909, 538, 8497, 543, 4687, 519, 9371, 540, 519, 7415, 6298, 1014, 1004, 269, 0, 2237, 513, 1650, 538, 519, 2511, 540, 1483, 3734, 3871, 602, 1004, 2671, 538, 15473, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 912, 29205, 596, 1683, 930, 3140, 2796, 593, 519, 8129, 540, 519, 6298, 1014, 3961, 543, 875, 621, 2919, 888, 763, 6298, 1014, 3961, 3459, 547, 1020, 538, 519, 2038, 476, 1704, 628, 2540, 950, 3943, 21152, 12306, 538, 519, 2244, 602, 568, 1631, 1634, 607, 25429, 32108, 267, 4516, 267, 543, 3964, 519, 12733, 540, 6298, 807, 269, 1452, 13896, 267, 945, 941, 5097, 6705, 543, 29940, 267, 2919, 513, 3982, 2528, 543, 1259, 540, 1272, 602, 729, 6766, 676, 741, 3943, 6561, 543, 519, 27726, 267, 9678, 5251, 540, 741, 1007, 1753, 780, 7021, 942, 267, 519, 6298, 1014, 2146, 8057, 543, 3964, 3294, 607, 513, 3982, 2486, 1369, 7810, 3345, 3013, 267, 609, 922, 1378, 1893, 267, 4984, 267, 543, 9821, 269, 1717, 267, 741, 2189, 3961, 729, 12219, 676, 513, 3126, 540, 7526, 1063, 519, 3943, 543, 3703, 23693, 267, 1519, 519, 3943, 543, 4095, 2782, 538, 519, 4571, 268, 1240, 628, 2540, 780, 5475, 519, 3703, 6591, 1852, 540, 6298, 807, 267, 789, 13986, 547, 585, 322, 4601, 15849, 30968, 519, 6298, 1014, 2551, 883, 3703, 2528, 543, 3961, 269, 901, 8507, 538, 519, 7142, 1244, 677, 10620, 10640, 763, 1650, 2115, 547, 1331, 513, 8903, 543, 6397, 4729, 6335, 269, 2659, 2239, 1058, 13469, 609, 519, 13597, 543, 2123, 5905, 1336, 538, 8468, 5717, 269, 3417, 11541, 2621, 543, 3929, 3178, 563, 0, 769, 513, 9589, 4104, 5030, 1079, 8049, 7068, 3957, 24488, 543, 4858, 17383, 269, 1358, 6068, 3695, 543, 1565, 1007, 1919, 256, 2290, 1554, 267, 789, 1336, 513, 12357, 3684, 1572, 968, 21803, 25817, 1848, 898, 1223, 1491, 1022, 2262, 610, 4845, 543, 1265, 2189, 4484, 3270, 3330, 621, 269, 1809, 1101, 267, 789, 1185, 547, 4137, 856, 875, 547, 1118, 621, 960, 780, 2704, 6495, 4280, 267, 834, 289, 9545, 334, 267, 1018, 2306, 713, 3684, 865, 2027, 8119, 4858, 17383, 14452, 267, 834, 11039, 267, 24488, 267, 950, 649, 2285, 621, 513, 5569, 267, 621, 9397, 621, 1524, 883, 4130, 2694, 1572, 1412, 11357, 1598, 902, 9538, 3973, 267, 621, 30012, 909, 1346, 4773, 1510, 18110, 1022, 5022, 538, 519, 1482, 5544, 15323, 2750, 322, 1243, 569, 267, 789, 6836, 8023, 519, 21642, 25817, 519, 8360, 267, 834, 629, 2350, 611, 629, 571, 1701, 2060, 513, 627, 20071, 543, 4945, 267, 856, 1402, 6244, 513, 1592, 540, 2338, 1107, 519, 4358, 543, 10678, 2798, 540, 1142, 4806, 256, 1703, 941, 476, 2190, 2164, 267, 6029, 1585, 10659, 899, 1412, 320, 10086, 1412, 629, 10086, 1412, 9346, 10086, 543, 1256, 1412, 321, 2350, 611, 629, 256, 28847, 3719, 1287, 3357, 8373, 269, 1879, 789, 2322, 538, 741, 13074, 3659, 781, 2012, 267, 1412, 303, 12149, 517, 14115, 1090, 2222, 2675, 641, 923, 32281, 18240, 4754, 665, 18223, 2670, 3299, 519, 21642, 25817, 3893, 12758, 269, 7937, 1100, 256, 12984, 621, 7745, 286, 2107, 5310, 1932, 7294, 585, 713, 2370, 31942, 2496, 4415, 521, 5417, 2989, 12271, 267, 24488, 6743, 693, 4858, 17383, 543, 1767, 267, 834, 2005, 4667, 938, 7045, 7475, 1934, 269, 9320, 930, 13655, 2611, 5667, 9407, 1310, 782, 1701, 1656, 865, 789, 4121, 606, 1271, 3992, 910, 3006, 938, 1702, 814, 7182, 267, 543, 602, 781, 15502, 269, 4634, 1498, 789, 7948, 1405, 4194, 1169, 11015, 267, 741, 7279, 18423, 2178, 267, 11121, 811, 3621, 29293, 538, 519, 2104, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 22081, 666, 596, 1020, 513, 5124, 9074, 602, 666, 2697, 543, 1349, 782, 2009, 32545, 540, 10799, 532, 9696, 9967, 540, 5580, 543, 2539, 2013, 5022, 689, 513, 2016, 5569, 538, 971, 513, 1259, 602, 1100, 32089, 786, 723, 3197, 5918, 6088, 538, 519, 1482, 2990, 286, 14755, 267, 519, 9074, 1590, 581, 5827, 540, 7829, 10799, 902, 9967, 540, 1022, 3259, 543, 540, 8383, 908, 5918, 27289, 540, 519, 1482, 10799, 532, 267, 8156, 873, 607, 1114, 3283, 267, 855, 13936, 873, 1152, 2899, 269, 5015, 267, 519, 9074, 1058, 4558, 519, 4611, 32545, 538, 513, 3349, 5627, 519, 1376, 543, 1439, 7158, 540, 1142, 10799, 532, 32089, 13939, 689, 519, 3312, 5569, 267, 9674, 676, 513, 3021, 1807, 1915, 269, 7490, 4766, 519, 3268, 2838, 585, 10451, 891, 32545, 538, 1469, 543, 519, 5817, 5690, 602, 568, 2838, 547, 2936, 713, 10342, 563, 2080, 616, 519, 3268, 543, 5690, 585, 10451, 519, 2838, 32545, 1384, 272, 269, 3689, 267, 649, 991, 547, 2697, 782, 2009, 10799, 532, 9696, 540, 8795, 13080, 9992, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 17235, 543, 646, 626, 8874, 723, 1279, 1044, 2442, 1369, 519, 7706, 540, 7900, 6575, 543, 21576, 269, 1452, 11964, 2709, 513, 2189, 11100, 540, 24457, 267, 2962, 267, 543, 1915, 1646, 602, 8952, 9458, 7722, 543, 16539, 538, 519, 1650, 1467, 269, 2290, 8037, 1383, 540, 513, 2413, 6760, 4278, 14525, 568, 519, 476, 1001, 280, 4670, 834, 4462, 12827, 717, 2114, 2437, 9859, 676, 21013, 543, 18581, 6380, 23135, 269, 1677, 1732, 1174, 519, 10848, 543, 16082, 3238, 538, 2870, 971, 513, 8903, 4062, 540, 21576, 267, 1577, 781, 5490, 4514, 883, 1585, 3344, 540, 519, 9135, 267, 5373, 4296, 1063, 3069, 267, 3140, 2796, 267, 543, 4207, 1568, 899, 834, 4462, 12827, 717, 2114, 3010, 1262, 296, 269, 20223, 17235, 543, 1261, 626, 8606, 916, 16001, 24979, 830, 8874, 31721, 1472, 3197, 22867, 10363, 2238, 543, 1419, 2263, 4798, 540, 13919, 267, 1379, 267, 543, 4539, 269, 10738, 713, 3376, 7121, 267, 646, 626, 8874, 1445, 4481, 593, 20737, 4058, 543, 22589, 14969, 17403, 338, 269, 5637, 24848, 637, 2154, 6297, 3007, 547, 4729, 4070, 267, 8082, 2359, 267, 543, 5304, 6278, 269, 6034, 832, 1590, 3666, 1163, 3789, 267, 8375, 2962, 267, 6172, 1314, 267, 543, 6571, 1247, 4509, 513, 5812, 3159, 543, 533, 5217, 780, 1262, 2862, 269, 8466, 12745, 16001, 763, 1686, 540, 6760, 543, 646, 626, 8874, 666, 581, 14360, 1394, 547, 2038, 21035, 24299, 267, 1519, 14980, 27825, 899, 834, 763, 4053, 8208, 32580, 540, 28522, 1325, 2917, 257, 630, 4489, 273, 264, 543, 2911, 625, 899, 834, 14276, 2037, 5519, 257, 630, 4350, 272, 1040, 4438, 519, 4571, 2389, 342, 12351, 2540, 267, 4670, 1100, 597, 7153, 607, 513, 3982, 24848, 516, 6353, 676, 524, 2106, 673, 8456, 267, 5837, 13509, 267, 543, 3308, 17634, 269, 901, 3350, 3812, 11599, 10643, 971, 607, 834, 291, 19302, 1473, 655, 333, 640, 257, 630, 3707, 275, 1070, 834, 763, 8262, 12619, 257, 630, 3707, 277, 1070, 543, 834, 2419, 514, 520, 1144, 257, 630, 3192, 275, 1040, 769, 811, 2487, 5756, 267, 29724, 5991, 7546, 8874, 899, 834, 303, 592, 335, 11470, 257, 630, 1960, 275, 1070, 834, 9288, 618, 334, 257, 630, 1220, 271, 1070, 543, 834, 7804, 633, 257, 630, 1001, 272, 264, 723, 4797, 547, 28196, 710, 543, 4228, 2390, 2757, 14908, 780, 1262, 7656, 269, 15689, 540, 21988, 17235, 543, 1261, 626, 8606, 916, 16001, 288, 269, 2608, 23322, 1436, 17041, 16200, 267, 1134, 31465, 23233, 543, 21087, 1235, 616, 1898, 3334, 540, 1022, 3811, 6760, 610, 646, 626, 4670, 269, 16992, 1058, 8858, 6988, 267, 4835, 4655, 267, 543, 11541, 18144, 269, 1358, 949, 18220, 18840, 18196, 1107, 552, 3052, 1421, 4550, 12516, 525, 267, 13249, 5515, 267, 4487, 332, 785, 338, 267, 610, 10690, 28994, 976, 1107, 2943, 1869, 4865, 2189, 7592, 602, 10646, 873, 689, 3105, 23200, 780, 289, 269, 2608, 5522, 582, 12856, 17041, 589, 5402, 18705, 2239, 5849, 602, 23538, 11200, 25401, 267, 30367, 15583, 622, 24482, 267, 543, 21368, 1745, 17598, 269, 19536, 543, 19971, 1590, 10880, 513, 10347, 3666, 1063, 3589, 1464, 543, 17674, 1464, 282, 1932, 1454, 540, 2901, 666, 27298, 21951, 18399, 780, 290, 269, 2608, 24058, 13910, 17041, 28037, 14670, 2762, 4249, 513, 2629, 1909, 538, 9591, 7099, 267, 5790, 267, 543, 9135, 3961, 269, 8606, 7825, 5474, 2308, 2553, 899, 1970, 268, 4486, 8654, 267, 1688, 18988, 12514, 267, 543, 23349, 25194, 547, 1711, 11617, 2502, 6386, 602, 9148, 741, 2984, 262, 4798, 543, 18565, 780, 291, 269, 2608, 306, 895, 5071, 1299, 8535, 17041, 14675, 339, 13715, 3565, 3648, 547, 513, 4670, 781, 2949, 1764, 267, 4543, 3715, 32171, 267, 18427, 4664, 267, 543, 4463, 523, 10565, 8090, 269, 1290, 1842, 619, 1419, 6451, 2609, 540, 15690, 267, 21462, 267, 610, 5907, 2575, 547, 20838, 7803, 896, 16447, 5468, 780, 292, 269, 2608, 763, 6996, 1299, 29526, 17041, 13229, 6760, 543, 646, 626, 8874, 2232, 8471 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 24836, 9958, 2090, 693, 5375, 454, 4942, 3342, 4451, 3281, 817, 476, 276, 630, 275, 2567, 27868, 268, 27768, 630, 1001, 271, 994, 347, 20082, 1475, 4942, 3342, 4451, 568, 513, 9097, 14374, 4171, 4305, 568, 547, 23827, 622, 519, 4909, 10054, 540, 930, 2016, 2534, 267, 9015, 267, 610, 1305, 540, 4978, 269, 769, 3257, 865, 267, 10952, 14374, 1590, 3801, 547, 30431, 622, 513, 1966, 543, 547, 1020, 513, 1505, 585, 20547, 602, 1966, 269, 1717, 267, 547, 581, 3020, 547, 922, 9837, 267, 6138, 1590, 581, 2111, 547, 4983, 711, 1152, 519, 1843, 540, 922, 14374, 855, 849, 922, 1378, 1505, 540, 23827, 566, 269, 1677, 9585, 713, 4305, 267, 10952, 14374, 1590, 581, 2111, 547, 1711, 513, 3845, 711, 1152, 689, 519, 10054, 896, 7634, 855, 849, 689, 922, 1378, 10054, 267, 799, 568, 547, 2161, 267, 602, 621, 1590, 581, 2111, 547, 6318, 2055, 827, 922, 1378, 1505, 269, 901, 1582, 18022, 2716, 2032, 3340, 602, 1022, 2016, 10952, 7634, 1590, 581, 8947, 689, 606, 4244, 642, 656, 720, 1448, 269, 4595, 519, 10054, 799, 1217, 519, 14374, 616, 7184, 708, 5523, 4765, 1369, 513, 2016, 2528, 267, 1799, 534, 550, 16472, 568, 13385, 269, 634, 1152, 1259, 547, 1900, 3544, 519, 6302, 540, 891, 2686, 1095, 6269, 657, 1431, 568, 547, 2992, 593, 519, 2016, 1966, 689, 519, 642, 656, 720, 1448, 540, 1776, 2528, 781, 10952, 2245, 269, 4935, 267, 594, 8044, 602, 10952, 14374, 568, 8572, 547, 979, 3564, 1978, 7182, 1510, 1373, 3444, 14426, 6138, 269, 594, 9414, 519, 1259, 538, 799, 3444, 14426, 6138, 1281, 713, 609, 2463, 547, 519, 1966, 540, 519, 1582, 676, 11093, 519, 5375, 10952, 1935, 547, 713, 1966, 538, 5188, 609, 519, 4095, 9699, 5174, 3291, 7290, 2239, 8198, 347, 21292, 1475, 5591, 17161, 9138, 630, 25785, 621, 10245, 5591, 6688, 9138, 454, 6262, 1538, 528, 1125, 713, 1957, 994, 347, 7437, 707, 5399, 1475, 18183, 2682, 2008, 13436, 2835, 543, 4930, 454, 20755, 18333, 645, 269, 700, 14445, 630, 1220, 278, 1040, 10088, 2286, 513, 29725, 1738, 3194, 661, 1777, 22761, 269, 15979, 543, 519, 5113, 476, 1321, 630, 273, 2567, 3393, 268, 3583, 563, 10111, 7637, 9995, 3724, 320, 630, 2735, 278, 1040, 4197, 4033, 27639, 281, 5525, 538, 519, 11096, 28441, 10819, 540, 9061, 4211, 8590, 28604, 269, 20518, 3176, 676, 13019, 622, 655, 514, 523, 17340, 329, 752, 879, 653, 320, 563, 307, 2397, 12722, 630, 1001, 272, 1040, 4139, 5004, 15979, 281, 589, 11879, 267, 9061, 4211, 8590, 21887, 269, 11062, 2160, 4964, 563, 289, 2784, 2917, 700, 269, 4173, 1782, 630, 1220, 277, 1040, 634, 4436, 717, 13682, 339, 5953, 281, 19555, 2940, 583, 923, 543, 2598, 23002, 538, 519, 4436, 1234, 4003, 540, 4095, 23539, 267, 476, 10082, 279, 268, 8146, 272, 269, 30296, 563, 289, 2784, 2917, 19958, 5244, 630, 1220, 275, 1040, 5262, 1359, 18467, 267, 667, 7776, 543, 654, 1122, 281, 22414, 267, 5450, 7469, 9713, 267, 543, 6396, 1670, 19047, 538, 1261, 728, 1375, 518, 781, 968, 288, 639, 661, 514, 655, 717, 525, 1440, 7564, 577, 966, 517, 3541, 1975, 2350, 515, 6100, 1496, 3918, 26177, 316, 25550, 13898, 5623, 476, 4391, 630, 274, 2567, 29616, 268, 26552, 563, 8867, 662, 918, 269, 23514, 1723, 630, 1001, 273, 1040, 1215, 12791, 631, 7174, 281, 18000, 23063, 784, 593, 645, 6563, 532, 21661, 27639, 269, 13898, 5101, 543, 4639, 476, 7830, 630, 272, 2567, 10844, 268, 13647, 563, 311, 1125, 667, 1263, 630, 1001, 271, 1040, 9046, 543, 6396, 281, 634, 25334, 2225, 540, 22414, 5530, 1765, 8794, 968, 299, 684, 20568, 329, 807, 962, 7776, 345, 6062, 892, 607, 606, 7151, 269, 1496, 3918, 26177, 316, 13571, 4536, 540, 13898, 538, 3624, 476, 276, 630, 275, 2567, 276, 4037, 268, 7785, 563, 26469, 1261, 3315, 630, 1220, 271, 1040, 8682, 268, 8448, 9534, 543, 519, 21929, 640, 540, 27639, 269, 13898, 543, 4317, 29576, 476, 2918, 630, 277, 2567, 8618, 268, 10695, 563, 3849, 4765, 547, 4994, 1001, 271, 268, 6860, 268, 6021, 454, 13707, 28085, 1724, 630, 1948, 4817, 267, 6924, 274, 540, 476, 278, 6078, 267, 4375, 273, 12467, 13146, 28085, 630, 277, 3275, 264, 272, 630, 1948, 8618, 267, 26764, 540, 476, 278, 6078, 267, 4375, 273, 12467, 1692, 666, 594, 2333, 1250, 28085, 286, 0, 288, 22300, 1666, 5306, 740, 2763, 1336, 476, 3583, 1296, 3516, 538, 519, 16515, 600, 582, 340, 2895, 28396, 540, 3943, 2717, 29498, 807, 3357, 689, 15027, 4224, 593, 918, 22840, 262, 7637, 933, 563, 1607, 568, 513, 5458, 4062, 540, 3377, 538, 22963, 543, 7414, 22884, 267, 2717, 2106, 14198, 2528, 543, 7414, 666, 4141, 16831, 1645, 269, 898, 568, 2182, 2963, 540, 1079, 17574, 16831, 1645, 1063, 11316, 262, 328, 543, 519, 10195, 5045, 540, 519, 20337, 538, 7262, 2717, 29498, 807, 563, 2005, 949, 581, 519, 1101, 2182, 2963, 540, 22300, 22963, 1570, 538, 519, 3162, 7414, 269, 1656, 621, 25495, 2717, 2106, 14198, 5711, 2245, 267, 607, 1134, 607, 519, 8097, 16831, 1645, 5342, 676, 519, 2717, 2106, 14198, 30576, 1645, 5980, 543, 666, 3996, 899, 519, 670, 758, 2544, 262, 320, 563, 8448, 740, 8240, 7318, 538, 519, 1482, 1353, 3357, 689, 513, 1297, 540, 1114, 15027, 10195, 543, 2417, 24772, 519, 2856, 540, 513, 1974, 540, 3742, 1279, 26591, 16831, 1645, 676, 2717, 29498, 2103, 563, 763, 14147, 10195, 540, 519, 16515, 600, 582, 340, 723, 1100, 1666, 5306, 540, 741, 1378, 269, 634, 1666, 5306, 740, 8240, 1336, 972, 3357, 689, 15027, 10195, 7366, 540, 5195, 2476, 543, 689, 5176, 1169, 1448, 540, 519, 22315, 563, 28733, 569, 267, 840, 26049, 7414, 16831, 6162, 5342, 2834, 267, 1394, 543, 8521, 1279, 26591, 4123, 267, 543, 952, 711, 513, 2717, 2106, 14198, 9835, 6239, 13749, 267, 519, 16515, 600, 9369, 941, 513, 1883, 15385, 1448, 267, 513, 4044, 1049, 1259, 4812, 267, 513, 4123, 4099, 563, 2252, 1022, 811, 18969, 941, 2877, 538, 519, 30756, 514, 540, 519, 1523, 602, 2717, 29498, 2103, 941, 1524, 13388, 968, 20142, 3424, 16831, 6162, 892, 24835, 762, 540, 2842, 1189, 22892, 267, 713, 568, 621, 563, 2005, 781, 1044, 513, 3983, 1032, 585, 4896, 8066, 519, 2856, 602, 7414, 16831, 6162, 14201, 1405, 2204, 22940, 4044, 2209, 543, 25501, 269, 2423, 17067, 713, 1032, 267, 3173, 1336, 602, 9269, 7633, 593, 519, 5032, 540, 16266, 3357, 689, 519, 18939, 540, 5017, 4547, 2066, 519, 7414, 676, 2717, 29498, 2103, 269, 2334, 729, 519, 1101, 2182, 2963, 540, 1945, 2717, 2106, 14198, 1373, 1336, 538, 519, 17113, 563, 14722, 26366, 996, 7502, 3205, 543, 21244, 1284, 529, 2401, 267, 540, 5245, 781, 2160, 540, 10348, 1633, 267, 3370, 538, 3163, 630, 4178, 4732, 7220, 332, 698, 3820, 1070, 741, 1957, 968, 1805, 821, 1520, 2763, 1290, 21752, 543, 519, 6987, 550, 540, 9147, 2717, 2106, 14198, 30576, 1645, 543, 11780, 3034, 763, 476, 866, 740, 8240, 789, 7318, 941, 6394, 676, 519, 1340, 539, 21674, 7467, 9125, 6048, 26366, 996, 2506, 800, 689, 476, 4572, 280, 547, 476, 4350, 275, 269, 1358, 941, 1336, 593, 8370, 14147, 10195, 267, 1034, 540, 873, 1970, 693, 565, 3149, 1765, 288, 21531, 7534, 267, 13845, 26854, 267, 28635, 541, 10394, 267, 918, 10620, 340, 267, 2494, 328, 6062, 267, 589, 515, 267, 12872, 541, 10394, 543, 715, 4157, 583, 822, 820, 267, 7132, 519, 909, 628, 6412, 14147, 6532, 25120, 622, 320, 563, 763, 14147, 10195, 1810, 1405, 723, 1434, 4396, 267, 10053, 3766, 11712, 4224, 269, 1656, 1247, 513, 4023, 5969, 1907, 666, 581, 1500, 689, 1919, 899, 513, 1804, 804, 600, 7387, 267, 952, 596, 1810, 1405, 723, 4496, 267, 2370, 11912, 3574, 607, 23182, 607, 2182, 267, 8325, 2989, 6149, 269, 1924, 952, 596, 991, 547, 3337, 3574, 585, 666, 3996, 267, 585, 2645, 543, 585, 2777, 4070, 267, 513, 5230, 267, 10053, 267, 1666, 5306, 740, 2763, 568, 513, 8799, 3364, 563, 763, 3173, 7318, 519, 16515, 600, 582, 340, 740, 8240, 585, 2101, 2609, 267, 10250, 2609, 543, 24745, 267, 2870, 3270, 602, 4847, 519, 740, 2763, 21828, 1206, 547, 581, 8308, 5532, 547, 741, 2959, 563, 763, 2164, 6166, 602, 519, 16515, 600, 582, 340, 1895, 729, 513, 2295, 1633, 540, 2717, 29498, 807, 267, 8391, 12595, 2182, 4224, 689, 782, 8846, 31251, 11316, 262, 328, 563, 763, 1353, 1336, 602, 1367, 740, 2763, 6149, 3357, 689, 14943, 320, 547, 519, 5045, 540, 519, 16515, 600, 582, 340, 267, 681, 584, 583, 340, 538, 519, 3851, 11866, 547, 519, 22236, 267, 661, 26820, 538, 519, 3057, 13196, 553, 547, 519, 5087, 267, 519, 16381, 322, 1515, 333, 1895, 547, 519, 22703, 267, 570, 1695, 16951, 547, 519, 7178, 563, 4517, 918, 22840, 262, 7637, 933, 269, 634, 918, 22840, 262, 7637, 933, 740, 2763, 729, 6394, 593, 13845, 26854, 267, 476, 273, 267, 4335, 5195, 689, 922, 1753, 23419, 2095, 563, 2467, 616, 1896, 2959, 540, 6149, 593, 918, 22840, 262, 7637, 933, 609, 519, 1482, 3114, 15040, 267, 543, 621, 568, 10578, 602, 835, 540, 873, 568, 1360, 2282, 519, 6532, 781, 7262, 2865, 1448, 267, 1634, 607, 3223, 8403, 1731, 1695, 5942, 267, 968, 1492, 1259, 547, 570, 1695, 16951, 563, 7197, 540, 519, 740, 8240, 267, 607, 1522, 581, 4397, 267, 3357, 689, 519, 14282, 2707, 267, 519, 5980, 11866, 267, 799, 1331, 570, 1695, 16951, 563, 763, 16515, 600, 582, 340, 616, 4244, 569, 1634, 607, 519, 14529, 636, 582, 340, 267, 519, 13192, 540, 11866, 267, 519, 667, 836, 2730, 5246, 28396, 269, 1280, 2413, 25501, 267, 789, 616, 31029, 1317, 519, 10195, 616, 865, 1970, 602, 789, 616, 4749, 711, 7298, 2394, 596, 666, 1294, 610, 693, 3781, 5873, 519, 17774, 8840, 593, 741, 24528, 269, 1656, 602, 781, 1932, 2673, 585, 4313, 563, 3719, 585, 1875, 2987, 11584, 618, 4044, 2209, 899, 519, 2717, 29498, 2103, 267, 4466, 971, 10195, 729, 1271, 547, 6166, 741, 7158, 269, 1656, 538, 519, 2013, 540, 513, 1279, 22116, 689, 11316, 262, 328, 267, 952, 1223, 849, 581, 513, 1747, 547, 1065, 549, 9679, 1765, 26238, 4195, 1426, 267, 1216, 543, 824, 7727, 1131, 3592, 6157, 581, 538, 1970, 3761, 563, 1432, 547, 4123, 585, 14074, 286, 1548, 1705, 519, 16515, 600, 582, 340, 6532, 619, 991, 286, 23985, 602, 729, 3362, 6740, 538, 513, 666, 4141, 5377, 543, 7948, 1405, 27253, 269, 1215, 827, 740, 2763, 6149, 888, 5194, 2856, 568, 602, 10007, 941, 4547, 607, 30060, 13344, 269, 21452, 267, 2413, 666, 4141, 16831, 6162, 723, 2919, 10446, 513, 2245, 540, 8876, 10007, 689, 741, 1753, 10195, 607, 13344, 547, 1004, 789, 3643, 563, 2108, 5331, 519, 1871, 649, 1747, 2221, 593, 3615, 602, 22132, 689, 7192, 541, 269, 1358, 1491, 593, 513, 2027, 4567, 540, 741, 1378, 269, 901, 949, 581, 930, 540, 519, 1871, 11911, 547, 606, 740, 2763, 4547, 689, 971, 513, 3845, 2223, 1284, 529, 2401, 1767, 563, 763, 918, 22840, 262, 7637, 933, 6149, 740, 2763, 729, 1336, 593, 519, 6532, 540, 13845, 26854, 267, 538, 519, 7187, 851, 540, 519, 7262, 16515, 600, 582, 340, 269, 634, 740, 2763, 729, 1500, 540, 918, 22840, 262, 7637, 933, 4224, 267, 855, 621, 729, 8032, 538, 513, 16515, 600, 582, 340, 1374, 1765, 24175, 2248, 532, 602, 5310, 621, 729, 9447, 607, 513, 6151, 32004, 540, 4224, 267, 610, 513, 14356, 11057, 740, 2763, 968, 29734, 1848, 1656, 621, 729, 8737, 538, 519, 2199, 2511, 676, 519, 6149, 32305, 540, 519, 16515, 600, 582, 639, 563, 10527, 918, 22840, 685, 7637, 933, 740, 2763, 556, 3530, 8787, 602, 5711, 12583, 4304, 2951, 1063, 11316, 685, 328, 543, 570, 1695, 16951, 616, 2693, 547, 723, 1044, 1759, 593, 1483, 2621, 2223, 1284, 529, 2401, 1767, 563, 13010, 267, 968, 1607, 476, 6110, 271, 5998, 3460, 1631, 6763, 607, 519, 13074, 796, 5793, 32152, 17535, 22116, 538, 1480, 840, 20931, 2223, 646, 1767, 563, 17206, 540, 11316, 262, 328, 10236, 6048, 5484, 5685, 2284, 267, 513, 1071, 1922, 10133, 540, 519, 2717, 2106, 14198, 30576, 1645, 5980, 267, 1767, 519, 1265, 5526, 547, 6166, 513, 4044, 1049, 3375, 1500, 585, 519, 3355, 22116, 540, 519, 16831, 1645, 666, 4141, 670, 758, 2544, 262, 320, 267, 585, 922, 476, 3192, 277, 11316, 262, 328, 6874, 1695, 16951, 22116, 563, 6546, 3375, 281, 13743, 585, 519, 16515, 600, 582, 340, 1895 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 2171, 3653, 267, 865, 649, 616, 5143, 267, 909, 547, 476, 2412, 260, 540, 519, 1426, 649, 4444, 269, 670, 4007, 10239, 540, 4232, 1154, 5388, 267, 2357, 3386, 12647, 540, 11877, 5144, 269, 1656, 693, 519, 1482, 942, 1426, 5777, 723, 6603, 606, 8978, 1164, 269, 2368, 6085, 2209, 1256, 2303, 602, 519, 19727, 538, 5527, 729, 538, 851, 1813, 547, 519, 1164, 1942, 540, 2596, 5820, 269, 901, 3018, 596, 2307, 2436, 851, 540, 519, 3070, 547, 8023, 519, 1158, 6013, 538, 4227, 519, 2179, 540, 1426, 649, 12235, 2476, 563, 293, 565, 16161, 5267, 2941, 335, 5367, 4054, 2661, 11014, 855, 267, 596, 2307, 267, 666, 713, 2731, 581, 519, 2013, 286, 7316, 798, 21823, 12404, 741, 5810, 267, 1946, 798, 7693, 2371, 1831, 25062, 936, 942, 286, 1656, 875, 1164, 568, 610, 729, 519, 5207, 7823, 2479, 547, 723, 11478, 593, 3047, 888, 4002, 519, 8470, 713, 3018, 616, 5274, 2983, 19212, 7905, 590, 826, 21207, 532, 5069, 540, 19839, 601, 2160, 282, 7905, 9324, 529, 32298, 267, 2030, 4719, 626, 689, 519, 2160, 540, 3794, 600, 6716, 543, 7905, 17722, 853, 2714, 267, 606, 2825, 10196, 689, 519, 2160, 540, 5507, 563, 303, 6974, 518, 281, 9400, 12253, 454, 303, 1238, 1356, 281, 18578, 344, 12653, 22574, 454, 288, 623, 1512, 13870, 585, 18917, 15571, 476, 275, 269, 0, 25200, 281, 27285, 20540, 281, 27286, 1607, 1449, 5161, 540, 476, 276, 2110, 2626, 2055, 543, 476, 272, 630, 1993, 476, 274, 264, 1557, 3584, 563, 14112, 8382, 5999, 454, 272, 269, 1548, 1281, 10507, 704, 24521, 2356, 1616, 547, 2911, 827, 888, 273, 269, 4208, 1281, 2961, 21059, 1589, 1352, 814, 513, 14603, 5905, 888, 274, 269, 1215, 1082, 2053, 538, 1200, 1272, 1281, 700, 10087, 14679, 856, 888, 275, 269, 1548, 798, 21634, 545, 807, 543, 16362, 24729, 550, 3626, 4235, 1927, 3006, 888, 276, 269, 1548, 1281, 667, 4040, 334, 798, 1310, 3171, 781, 2669, 888, 13625, 13445, 476, 272, 454, 298, 344, 571, 543, 2549, 2946, 878, 320, 616, 1079, 2021, 538, 519, 1482, 4884, 267, 2943, 616, 1360, 1114, 538, 3875, 2081, 269, 14424, 543, 4334, 519, 1079, 4775, 3197, 676, 1210, 1808, 1806, 689, 15196, 548, 781, 1433, 563, 13625, 13445, 476, 273, 454, 26368, 519, 6172, 1314, 540, 713, 1650, 543, 519, 3126, 540, 2621, 3056, 909, 547, 519, 6172, 1314, 269, 1215, 1705, 3197, 4431, 547, 519, 6172, 1314, 286, 1548, 1705, 10011, 21034, 1331, 538, 1200, 1650, 547, 1202, 675, 602, 519, 6172, 1314, 1131, 581, 607, 3532, 543, 6209, 607, 2009, 888, 13625, 13445, 476, 274, 454, 300, 698, 673, 17779, 568, 606, 1271, 2460, 540, 10011, 21034, 781, 960, 269, 1215, 568, 713, 4480, 1031, 547, 2995, 519, 1650, 540, 1924, 25206, 543, 1200, 20766, 286, 1548, 1281, 9589, 17779, 3565, 547, 519, 1198, 540, 10011, 21034, 781, 960, 593, 3988, 286, 1215, 1281, 1352, 6451, 621, 883, 519, 3152, 960, 888, 1607, 3296, 3568, 476, 279, 7597, 1913, 454, 26140, 269, 476, 274, 3817, 693, 476, 4968, 1913, 829, 2985, 264, 0, 25200, 281, 27285, 20540, 281, 27286, 1607, 1449, 5161, 540, 476, 276, 2110, 2626, 2055, 543, 476, 272, 630, 1993, 476, 274, 264, 1557, 3584, 563, 14112, 8382, 5999, 454, 272, 269, 1548, 568, 5181, 899, 950, 1352, 530, 1389, 888, 273, 269, 1548, 798, 14349, 543, 5181, 798, 888, 274, 269, 1677, 7247, 1281, 2836, 335, 1248, 807, 22090, 704, 513, 5728, 888, 275, 269, 4208, 1281, 6004, 269, 10934, 2661, 1141, 646, 568, 2713, 888, 276, 269, 1548, 10580, 519, 700, 821, 569, 12821, 565, 888, 13625, 13445, 476, 272, 454, 272, 269, 1548, 568, 22509, 17495, 578, 286, 1215, 1082, 1651, 573, 1878, 540, 22509, 17495, 578, 616, 538, 634, 21756, 5808, 8562, 4379, 3572, 730, 674, 8543, 1633, 286, 1215, 1281, 22509, 17495, 578, 3565, 547, 513, 1433, 781, 24457, 888, 273, 269, 9181, 606, 1383, 540, 22509, 17495, 578, 538, 634, 21756, 5808, 8562, 4379, 3572, 730, 674, 8543, 1633, 1519, 1946, 596, 3494, 621, 568, 22509, 17495, 578, 269, 3417, 1806, 689, 519, 1433, 543, 707, 1378, 1272, 547, 9414, 707, 2626, 563, 274, 269, 1215, 798, 596, 1589, 1034, 1004, 2746, 547, 10462, 538, 741, 2729, 286, 2422, 1806, 689, 634, 21756, 5808, 8562, 4379, 3572, 730, 674, 8543, 1633, 543, 707, 1378, 1272, 547, 1489, 707, 6644, 563, 13625, 13445, 476, 273, 454, 2467, 616, 513, 1297, 540, 4277, 2055, 6659, 676, 634, 21756, 5808, 8562, 4379, 3572, 730, 674, 8543, 1633, 269, 5999, 602, 4406, 25366, 1034, 2693, 1616, 3988, 547, 2015, 543, 1589, 998, 5402, 269, 9181, 519, 1739, 912, 272, 269, 1548, 1281, 519, 2165, 834, 10461, 16786, 257, 1611, 888, 273, 269, 8745, 835, 2856, 270, 935, 1061, 596, 1589, 949, 723, 1044, 513, 851, 540, 519, 4406, 25366, 781, 16786, 269, 21302, 602, 2856, 2429, 519, 1433, 543, 1865, 4406, 25366, 781, 21483, 16786, 7282, 602, 2856, 563, 273, 269, 1684, 596, 1589, 5830, 945, 723, 606, 16786, 585, 1603, 1058, 1448, 621, 856, 538, 513, 840, 2183, 888, 274, 269, 1215, 1419, 798, 596, 1589, 5708, 568, 2854, 609, 513, 2312, 16786, 538, 2247, 676, 519, 2278, 888, 275, 269, 3194, 519, 1272, 540, 4406, 25366, 543, 1294, 952, 270, 3602, 1200, 1272, 949, 723, 6766, 1200, 1603, 563, 13625, 13445, 476, 274, 454, 7021, 519, 1576, 540, 634, 21756, 5808, 8562, 4379, 3572, 730, 674, 8543, 1633, 267, 5181, 9428, 607, 513, 1268, 538, 1312, 6988, 543, 1620, 269, 634, 21756, 5808, 8562, 4379, 3572, 730, 674, 8543, 1633, 1522, 581, 2808, 513, 20105, 540, 5181, 781, 3677, 1650, 540, 1200, 834, 5765, 540, 2085, 1701, 898, 1522, 581, 1767, 602, 634, 21756, 5808, 8562, 4379, 3572, 730, 674, 8543, 1633, 568, 513, 834, 321, 843, 31258, 668, 534, 257, 540, 5181, 269, 9181, 519, 1739, 912, 272, 269, 16294, 645, 843, 31258, 668, 534, 267, 610, 834, 290, 4040, 540, 6520, 2437, 543, 2285, 1896, 1806, 689, 3332, 596, 723, 1224, 563, 273, 269, 29895, 543, 5659, 519, 1915, 540, 5181, 607, 1352, 2242, 689, 513, 1147, 569, 267, 1582, 19721, 8004, 547, 513, 5923, 518, 267, 811, 17519, 8004, 269, 1548, 616, 519, 1713, 2621, 602, 1689, 5181, 888, 274, 269, 2991, 8499, 7421, 5181, 781, 2208, 2429, 634, 21756, 5808, 8562, 4379, 3572, 730, 674, 8543, 1633, 267, 798, 596, 1589, 634, 21756, 5808, 8562, 4379, 3572, 730, 674, 8543, 1633, 1223, 581, 2808, 5181, 781, 28527, 540, 6520, 1650, 286, 4208, 610, 1946, 711, 888, 275, 269, 3657, 972, 1022, 824, 3197, 538, 634, 21756, 5808, 8562, 4379, 3572, 730, 674, 8543, 1633, 945, 979, 998, 513, 28527, 540, 6520, 1995, 286, 5808, 286, 4208, 798, 596, 1589, 865, 888, 1607, 3296, 3568, 476, 273, 267, 277, 3583, 1913, 454, 26140, 269, 476, 280, 3817, 693, 476, 4968, 1913, 829, 2985, 264, 0, 1607, 3381, 568, 689, 519, 6052, 476, 6200, 3381, 3126, 269, 898, 6941, 519, 1184, 585, 14291, 2890, 268, 14607, 2801, 883, 4492, 543, 2306, 519, 2013, 602, 13479, 2861, 6915, 30669, 3180, 11999, 1761, 585, 4543, 2569, 938, 13829, 593, 16865, 3282, 563, 1607, 16866, 14318, 540, 513, 24232, 1379, 2030, 689, 519, 772, 2529, 269, 4972, 540, 6052, 14550, 1455, 8017, 609, 2757, 1379, 19356, 908, 10473, 269, 2755, 972, 616, 1082, 2010, 540, 24232, 1379, 2371, 267, 713, 14318, 2982, 513, 13598, 2030, 563, 1607, 7317, 14839, 2813, 676, 21598, 3633, 630, 10403, 6052, 4578, 1070, 10525, 1648, 3761, 630, 2421, 2707, 264, 543, 3747, 630, 2421, 946, 264, 585, 1142, 1533, 538, 519, 2475, 689, 476, 3422, 271, 547, 476, 1001, 271, 282, 23004, 998, 476, 10711, 276, 616, 2139, 607, 1134, 563, 15709, 3633, 568, 606, 1930, 3760, 547, 948, 1533, 543, 2199, 6608, 267, 1648, 24990, 543, 3609, 24237, 267, 4357, 2872, 267, 543, 1866, 547, 3927, 14650, 267, 5659, 543, 5635, 1648, 14025, 1239, 547, 1118, 1732, 1648, 3664, 543, 4264, 2994, 563, 1607, 3381, 14550, 519, 5383, 540, 29762, 13947, 607, 513, 7791, 267, 3327, 16250, 23018, 1648, 2707, 269, 8381, 344, 13947, 568, 896, 583, 28895, 543, 1419, 15763, 607, 513, 7791, 4492, 267, 543, 621, 666, 581, 19122, 30396, 543, 14616, 2973, 569, 563, 1607, 568, 513, 3126, 540, 476, 1015, 2110, 7044, 267, 18799, 676, 2817, 3163, 7690, 267, 1142, 10023, 3744, 267, 1382, 267, 543, 3039, 4066, 269, 634, 2949, 3804, 540, 713, 3126, 568, 547, 5000, 1004, 547, 2307, 2055, 543, 1413, 3564, 8093, 10173, 585, 5499, 3435, 547, 938, 2479, 21212, 1648, 2115, 563, 1607, 18044, 14318, 6257, 875, 10316, 3887, 10431, 6472, 630, 4047, 26394, 264, 9192, 519, 2640, 540, 17405, 9817, 543, 3167, 16546, 543, 666, 581, 27358, 547, 3489, 1114, 6859, 267, 971, 607, 4824, 4492, 4346, 267, 2799, 1379, 267, 610, 3606, 25581, 1379, 585, 5907, 3457, 543, 1379, 2645, 269, 0, 12709, 3436, 5240, 3436, 15089, 582, 4209, 20653, 23145, 454, 20826, 476, 1321, 628, 267, 476, 1220, 274, 454, 13825, 1456, 1079, 610, 811, 6289, 5255, 2354, 267, 971, 607, 24519, 3887, 937, 4435, 22817, 1949, 630, 301, 32209, 1070, 666, 581, 2944, 676, 13841, 610, 1350, 5224, 610, 609, 6263, 10808, 543, 31211, 269, 1809, 1018, 952, 596, 1223, 9900, 1175, 3728, 523, 873, 519, 1259, 17234, 616, 3728, 2989, 267, 609, 6063, 23145, 286, 1230, 14846, 6063, 23145, 3728, 2287, 1568, 676, 30010, 835, 15429, 540, 6515, 8397, 554, 10541, 1486, 21310, 1734, 609, 513, 15429, 540, 8520, 539, 1486, 21310, 1734, 269, 769, 519, 18784, 4528, 267, 1312, 15649, 1131, 1490, 16824, 609, 3327, 31407, 25683, 267, 6738, 20005, 4849, 585, 513, 13622, 593, 519, 1283, 1439, 269, 6424, 8751, 2033, 330, 543, 1010, 9164, 616, 4974, 875, 547, 1118, 24519, 268, 767, 23145, 960, 563, 2419, 668, 1756, 31588, 1229, 20676, 641, 541, 777, 1156, 22005, 681, 902, 607, 1715, 13088, 585, 10435, 23398, 1242, 15089, 665, 16808, 976, 5988, 476, 2190, 628, 267, 476, 1001, 276, 454, 19465, 20688, 13402, 5027, 31407, 25683, 1900, 676, 1900, 281, 1715, 267, 3625, 8386, 1532, 6674, 10198, 1505, 1223, 17362, 1259, 585, 3156, 538, 1904, 334, 3887, 937, 16361, 267, 3075, 6765, 5988, 476, 2537, 6113, 267, 476, 1001, 276, 454, 295, 2788, 21384, 585, 7636, 11387, 281, 4856, 2335, 592, 2940, 2982, 9621, 5907, 3601, 5988, 476, 1704, 628, 267, 476, 1001, 276, 454, 21026, 26156, 15089, 27370, 3098, 16628, 25272, 14880, 2561, 31212, 547, 519, 8274, 540, 10500, 8270, 919, 540, 19676, 2160, 12333, 3163, 9457, 6403, 338, 5358, 5988, 476, 1724, 628, 267, 476, 1001, 276, 0, 13233, 23941, 540, 2657, 630, 25712, 295, 264, 3744, 723, 4857, 513, 9621, 1291, 585, 3384, 513, 1007, 1826, 540, 3075, 547, 1521, 3968, 3361, 676, 853, 20942, 19905, 28857, 267, 513, 24059, 602, 4749, 759, 1235, 2757, 11216, 269, 634, 3173, 4362, 513, 1062, 1031, 676, 590, 269, 28857, 547, 3560, 13802, 602, 616, 2219, 547, 3565, 547, 4049, 588, 7469, 5563, 269, 1452, 13802, 1765, 21406, 4307, 565, 30320, 1110, 592, 1231, 630, 4916, 16039, 28931, 17647, 6591, 1454, 3007, 538, 2487, 1296, 267, 855, 741, 21318, 543, 4763, 723, 12042, 1229, 3646, 547, 3077, 873, 585, 3075, 1646, 563, 22091, 21505, 593, 960, 602, 1101, 4330, 590, 269, 28857, 13662, 16039, 538, 476, 1220, 278, 267, 3744, 693, 519, 22078, 295, 781, 2817, 4659, 540, 30665, 543, 29956, 15302, 1336, 602, 519, 3560, 1062, 267, 799, 789, 1289, 623, 31198, 267, 568, 1455, 547, 782, 590, 269, 28857, 13662, 16039, 543, 2565, 585, 9190, 18735, 543, 2068, 1646, 538, 513, 10856, 2203, 269, 4256, 6901, 2303, 602, 513, 3075, 7679, 1359, 609, 623, 31198, 781, 1599, 1223, 711, 1152, 2061, 2504, 540, 519, 13662, 300, 13802, 267, 855, 849, 2047, 1291, 547, 9190, 2669, 563, 7212, 741, 1353, 5059, 593, 590, 269, 28857, 267, 519, 3744, 14353, 602, 623, 31198, 15824, 519, 1482, 1909, 538, 824, 588, 20942, 25497, 857, 267, 971, 607, 590, 269, 28603, 573, 529, 267, 519, 3056, 2014, 540, 6413, 23938, 5563, 5473, 967, 16946, 2564, 3457, 971, 607, 25108, 1562, 267, 10605, 16234, 543, 14382, 12060, 269, 1358, 1544, 547, 3136, 741, 2090, 547, 2087, 519, 1620, 540, 875, 13662, 16039, 1599, 543, 547, 1451, 875, 547, 15936, 609, 519, 623, 31198, 3560, 1062, 547, 3625, 2068, 563, 306, 932, 2660, 329, 2465, 1696, 620, 269, 12708 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 22117, 619, 3180, 513, 2629, 1909, 538, 14637, 7104, 3206, 607, 513, 4199, 269, 8409, 19825, 519, 1871, 540, 1995, 543, 1702, 538, 1142, 2319, 4759, 6536, 513, 2922, 2230, 585, 27300, 2093, 269, 1358, 1294, 519, 5348, 1458, 689, 5916, 2200, 607, 3407, 3403, 4724, 1732, 267, 1134, 26455, 267, 543, 8537, 3664, 563, 290, 1042, 2225, 543, 1946, 621, 6927, 454, 25444, 8188, 1272, 2591, 267, 543, 7231, 609, 873, 267, 543, 5275, 1489, 689, 513, 3318, 267, 2901, 585, 2123, 1646, 610, 5626, 6351, 267, 568, 1582, 13282, 269, 1677, 1900, 856, 540, 606, 13943, 3510, 267, 547, 1174, 602, 621, 779, 15502, 711, 547, 1745, 15502, 269, 1703, 616, 3435, 543, 1489, 856, 972, 563, 763, 4528, 540, 968, 296, 1590, 892, 602, 4016, 547, 13190, 568, 17271, 543, 4564, 1945, 6209, 585, 721, 269, 898, 9356, 938, 5191, 540, 3903, 543, 519, 1379, 540, 8990, 267, 11461, 676, 938, 4835, 1242, 2418, 563, 2791, 666, 723, 782, 519, 1702, 538, 519, 1158, 267, 855, 621, 949, 711, 581, 2614, 952, 1004, 798, 711, 3494, 538, 707, 3664, 269, 1677, 2744, 3972, 602, 596, 616, 513, 19579, 1268, 2115, 942, 269, 5384, 547, 1628, 17258, 563, 2252, 1004, 3972, 707, 3664, 267, 596, 666, 581, 606, 31369, 6205, 269, 2659, 3318, 2990, 568, 606, 5007, 2707, 540, 1379, 269, 28946, 2225, 568, 6418, 1379, 543, 4199, 563, 10144, 693, 960, 786, 4440, 2285, 741, 5934, 952, 519, 1604, 568, 711, 11121, 269, 1717, 267, 952, 789, 1294, 519, 3483, 538, 741, 3527, 543, 616, 6273, 267, 789, 786, 3565, 1454, 811, 269, 634, 6205, 2306, 519, 3017, 1063, 741, 5934, 543, 5021, 563, 763, 1898, 5718, 1983, 616, 912, 268, 28946, 2225, 1107, 547, 1118, 22973, 543, 8537, 3664, 563, 268, 16508, 11106, 1107, 547, 581, 2111, 547, 1628, 3407, 4296, 563, 268, 13229, 2792, 1107, 547, 5968, 519, 6835, 609, 9355, 543, 3483, 563, 268, 4077, 1143, 320, 1107, 547, 581, 1871, 9141, 543, 2111, 547, 6655, 2495, 543, 4664, 563, 1692, 1223, 596, 1628, 17258, 888, 290, 1042, 2225, 1797, 22973, 3664, 269, 898, 3085, 1406, 1611, 3501, 3664, 610, 1152, 3664, 602, 1291, 547, 1967, 269, 28946, 1043, 3664, 616, 950, 519, 5520, 610, 2818, 540, 2486, 616, 18617, 602, 789, 616, 1759, 593, 1995, 267, 1702, 267, 538, 1816, 4369, 267, 2016, 5013, 267, 2139, 1344, 267, 543, 3743, 2623, 563, 2252, 519, 1686, 540, 3401, 685, 3664, 2982, 791, 6160, 4369, 610, 3352, 22529, 1043, 2623, 1510, 4397, 4093, 267, 8458, 616, 7864, 602, 1004, 786, 1745, 6899, 3972, 532, 3401, 685, 3664, 538, 519, 2104, 269, 4746, 267, 952, 519, 6205, 1281, 711, 1397, 519, 10100, 547, 1118, 513, 3375, 543, 1491, 5539, 585, 519, 6364, 267, 972, 616, 849, 7864, 8458, 602, 789, 786, 1628, 6392, 563, 13356, 1707, 6194, 568, 711, 513, 2979, 5106, 269, 1284, 1419, 1810, 1406, 917, 519, 6364, 269, 1717, 267, 519, 1739, 2243, 1223, 948, 3401, 1628, 741, 1582, 21873, 1107, 568, 519, 3375, 1500, 1759, 2390, 2016, 5013, 543, 782, 2139, 1344, 547, 3035, 10721, 5301, 543, 547, 9585, 519, 4690, 540, 2319, 2818, 888, 288, 1713, 3773, 1871, 1131, 581, 19969, 543, 13597, 269, 0, 26607, 11888, 4873, 476, 2764, 267, 476, 1015, 281, 1789, 600, 454, 4462, 548, 4770, 519, 18903, 543, 2904, 1335, 540, 9198, 894, 3642, 538, 4065, 454, 17653, 894, 3642, 6585, 10373, 1761, 543, 12178, 547, 2981, 2069, 267, 4838, 2358, 519, 1259, 649, 13599, 267, 1451, 543, 4497, 609, 1702, 269, 1548, 1983, 786, 581, 4397, 689, 7855, 543, 1053, 538, 519, 2104, 286, 1215, 666, 30462, 3642, 581, 1031, 21176, 676, 7855, 543, 1053, 286, 634, 6881, 786, 13686, 1483, 3734, 2833, 543, 1806, 547, 2626, 891, 2055, 267, 2921, 883, 2272, 519, 7760, 538, 2029, 543, 519, 1909, 540, 3642, 269, 898, 786, 849, 2232, 7881, 543, 3354, 2152, 585, 10128, 891, 2645, 883, 513, 1565, 1604, 563, 7804, 269, 667, 10005, 1656, 821, 31822, 10972, 18372, 3583, 264, 568, 519, 10615, 540, 519, 552, 13981, 4741, 540, 2717, 924, 18255, 3821, 2160, 540, 7033, 529, 334, 4673, 267, 27597, 267, 3743, 585, 4058, 543, 7598, 3059, 2069, 543, 12314, 7548, 538, 19180, 267, 7317, 543, 1357, 4066, 269, 4595, 476, 1960, 279, 267, 1352, 11414, 1576, 13838, 538, 9945, 689, 5177, 267, 5333, 267, 7330, 267, 18940, 267, 7977, 267, 10255, 269, 2701, 814, 3573, 1382, 1995, 609, 7920, 8313, 630, 1478, 476, 1704, 2835, 267, 476, 1911, 1382, 4574, 267, 476, 1556, 7454, 1957, 22952, 267, 2689, 518, 693, 476, 277, 2101, 13746, 543, 1896, 824, 12326, 267, 12314, 9375, 693, 20959, 3690, 13905, 593, 4065, 267, 1071, 7302, 1515, 20959, 15096, 3201, 307, 1775, 15411, 9596, 264, 543, 811, 982, 476, 1789, 1382, 543, 3872, 3486, 3785, 269, 3220, 269, 1656, 821, 568, 11581, 2894, 18947, 29533, 267, 20959, 4065, 5980, 476, 1708, 272, 31692, 1639, 3848, 15557, 13815, 16771, 267, 11581, 2894, 21470, 6261, 637, 1211, 585, 9442, 543, 18877, 630, 1001, 279, 268, 1708, 272, 1070, 543, 4759, 538, 20959, 4065, 5980, 8274, 540, 5041, 832, 630, 1708, 272, 1790, 6974, 1070, 538, 20959, 27597, 8791, 519, 12409, 2238, 17348, 630, 1001, 280, 1790, 6974, 264, 543, 538, 9167, 288, 7913, 26306, 6008, 1359, 9730, 269, 2701, 849, 6411, 538, 519, 8274, 540, 4936, 1014, 27013, 630, 303, 550, 745, 966, 16211, 7690, 1070, 538, 7033, 529, 334, 4673, 476, 1708, 274, 3864, 13317, 540, 9177, 17130, 10414, 543, 538, 824, 17319, 14540, 630, 305, 582, 776, 4139, 1040, 2701, 568, 13730, 827, 519, 24819, 1569, 547, 4066, 543, 875, 789, 666, 581, 1031, 547, 2087, 1004, 779, 1272, 267, 1352, 8362, 7028, 519, 946, 540, 744, 2207, 338, 267, 17834, 31237, 543, 519, 1930, 2069, 3741, 267, 3384, 1133, 328, 290, 25283, 4318, 340, 585, 2866, 585, 3059, 1983, 267, 855, 849, 519, 2199, 1376, 5346, 3350, 267, 2021, 538, 10509, 267, 543, 519, 3059, 2528, 269, 2701, 15748, 1896, 3785, 585, 13321, 2950, 267, 568, 14376, 607, 10584, 693, 19014, 543, 538, 519, 2063, 476, 1839, 1296, 3238, 538, 519, 3059, 2069, 2146, 3350, 538, 27597, 267, 5063, 998, 519, 8625, 6732, 1357, 21577, 543, 519, 3059, 2528, 543, 6561, 609, 20128, 2775, 11595, 7033, 328, 388, 503, 334, 4673, 269, 4179, 2517, 324, 14048, 269, 340, 696, 269, 549, 270, 549, 7933, 10005, 7146, 821, 270, 0, 24202, 13446, 262, 6585, 1713, 1379, 538, 938, 6946, 3929, 1158, 267, 9117, 607, 513, 1883, 547, 544, 754, 8186, 543, 3347, 269, 15332, 8806, 16153, 1154, 513, 12161, 267, 621, 27711, 9758, 1121, 16017, 267, 11394, 19807, 267, 543, 26342, 2250, 267, 1459, 267, 543, 2104, 2078, 6384, 269, 634, 7145, 540, 606, 3284, 1108, 6013, 538, 922, 1079, 2609, 1107, 6284, 540, 519, 4636, 543, 9758, 1121, 16017, 267, 8108, 519, 4493, 585, 6568, 543, 4514, 1480, 4296, 563, 25721, 1108, 6530, 8761, 513, 2143, 4605, 269, 14755, 11589, 26845, 267, 606, 3284, 1108, 4570, 919, 519, 18579, 781, 4606, 543, 6786, 519, 23294, 6500, 781, 18515, 547, 26003, 1125, 267, 3056, 2509, 21047, 269, 1717, 267, 519, 1967, 540, 606, 3284, 1108, 849, 5673, 593, 519, 17513, 781, 7664, 267, 609, 25442, 3283, 1574, 532, 32659, 543, 10845, 267, 5807, 7067, 269, 7442, 3098, 666, 849, 4196, 607, 513, 9354, 1907, 267, 14123, 1582, 26190, 267, 16203, 8323, 267, 3929, 6043, 267, 543, 2123, 2208, 269, 4475, 267, 1412, 7717, 787, 262, 568, 811, 982, 513, 2262, 282, 621, 781, 513, 7347, 1907, 540, 6568, 267, 21047, 267, 3929, 7067, 267, 3972, 11808, 267, 543, 2790, 1072, 6454, 563, 17359, 2376, 1934, 281, 4179, 2517, 4364, 1756, 2593, 270, 287, 331, 9155, 3726, 15276, 9188, 330, 270, 1492, 268, 2863, 11474, 27703, 6361, 268, 777, 1108, 7308, 1606, 7220, 1532, 12317, 785, 1606, 13446, 7146, 268, 1080, 27780, 716, 6823, 268, 11365, 268, 8234, 268, 280, 8619, 277, 325, 276, 324, 277, 321, 5952, 272, 0, 23382, 1441, 29326, 24492, 338, 630, 5425, 302, 264, 1310, 5230, 11811, 666, 2014, 8650, 15723, 339, 687, 540, 15702, 5135, 630, 23077, 264, 538, 519, 12670, 5211, 1975, 872, 269, 4329, 24395, 566, 540, 8733, 22907, 666, 581, 4397, 689, 2518, 2916, 1689, 269, 589, 4058, 6293, 585, 11483, 302, 1764, 4879, 896, 1114, 29326, 2359, 543, 2916, 2175, 814, 1044, 2919, 693, 918, 558, 7065, 523, 3960, 550, 5300, 654, 817, 518, 12670, 269, 898, 15185, 519, 29326, 2203, 27084, 17582, 11483, 267, 519, 5757, 1216, 2298, 2203, 10281, 571, 343, 270, 304, 8245, 543, 606, 1764, 4879, 1907, 269, 634, 4058, 6293, 729, 24019, 585, 519, 1296, 476, 1001, 271, 543, 476, 1001, 272, 269, 29896, 2164, 585, 519, 2565, 6724, 11166, 543, 11298, 9830, 538, 519, 12670, 5211, 1975, 872, 3858, 1134, 609, 7403, 269, 4014, 711, 782, 4767, 11298, 22907, 666, 581, 20533, 8308, 267, 519, 1360, 1434, 6041, 540, 3157, 1644, 547, 519, 5135, 6578, 2636, 12570, 3448, 2242, 538, 10465, 2175, 267, 552, 3052, 269, 689, 2916, 1689, 610, 1114, 11483, 302, 1852, 2994, 269, 634, 5342, 9183, 2079, 6920, 602, 519, 13745, 29326, 268, 18182, 16347, 23465, 6213, 569, 547, 2242, 538, 10465, 2175, 630, 339, 17687, 267, 11811, 267, 4859, 4320, 543, 824, 11483, 302, 1852, 2994, 267, 3092, 12175, 9122, 593, 519, 11191, 1032, 476, 1220, 278, 1107, 8204, 606, 3665, 1032, 609, 14621, 547, 11483, 302, 4320, 543, 2565, 2175, 538, 519, 5757, 1107, 29326, 14317, 3800, 9709, 547, 581, 8045, 2394, 476, 1708, 271, 616, 10567, 547, 2569, 2698, 11483, 302, 12531, 676, 476, 1704, 260, 543, 26809, 12376, 656, 13907, 676, 476, 2641, 910, 476, 4029, 10065, 634, 4908, 540, 2565, 11298, 2175, 585, 519, 1034, 6213, 2199, 3165, 2249, 786, 6175, 676, 835, 3791, 269, 1280, 513, 2417, 6454, 540, 1216, 2298, 1310, 519, 1032, 476, 1708, 271, 267, 519, 5786, 540, 6650, 2365, 7252, 19674, 607, 513, 1360, 2500, 2359, 4640, 1141, 15164, 269, 589, 5786, 540, 519, 6650, 2365, 4448, 1858, 676, 476, 736, 260, 2164, 538, 513, 6175, 538, 519, 4908, 540, 2565, 11298, 2175, 676, 1776, 3791, 269, 634, 6594, 2333, 538, 2627, 2011, 543, 1216, 2837, 607, 851, 540, 519, 2916, 1689, 7653, 5012, 547, 513, 1713, 24395, 566, 540, 11298, 2566, 1813, 547, 4282, 5533, 538, 519, 12670, 5211, 1975, 872, 267, 1247, 8650, 11298, 15723, 339, 687, 1310, 11483, 302, 616, 18923, 4299, 269, 1717, 267, 2242, 538, 4764, 8515, 723, 513, 9645, 1198, 593, 11483, 302, 12531, 267, 12376, 656, 13907, 543, 519, 4908, 540, 2565, 11298, 9830, 269, 589, 2489, 5786, 540, 26809, 12376, 656, 13907, 676, 476, 2568, 260, 1759, 593, 519, 29326, 4567, 476, 1708, 271, 666, 2061, 2565, 11298, 2175, 538, 519, 12670, 5211, 1975, 872, 267, 1256, 585, 519, 24215, 4764, 7920, 1032, 476, 1220, 278, 269, 589, 2143, 2079, 540, 5757, 3157, 1310, 11483, 302, 267, 814, 3254, 602, 519, 7686, 18341, 566, 540, 5214, 3327, 7135, 568, 519, 1034, 1271, 23784, 547, 8650, 11298, 15723, 339, 687, 538, 519, 12670, 5211, 1975, 872, 269, 1323, 3606, 15717, 540, 11298, 2175, 568, 3361, 676, 519, 1102, 869, 540, 5135, 1863, 11483, 302, 21383, 1216, 543, 17735, 17571, 883, 519, 12670, 5211, 1975, 872, 269, 769, 713, 1867, 267, 11483, 302, 5222, 896, 1114, 2359, 2994, 610, 2916, 1689, 2175, 616, 12290, 1152, 585, 513, 851, 540, 519, 12670, 5916, 29326, 1062, 630, 24392, 519, 1292, 851, 264, 543, 585, 835, 32055, 1032, 269, 1323, 10137, 540, 519, 4058, 6293, 547, 519, 3003, 5916, 29326, 1062, 1131, 5512, 547, 6218, 519, 2407, 1764, 540, 3800, 269, 1280, 513, 7347, 12605, 540, 2104, 11483, 302, 5222, 621, 568, 849, 5227, 547, 1449, 1114, 11191, 5712, 610, 2932, 1279, 3856, 13502, 269, 0, 289, 16742, 547, 16641, 552, 1181, 640, 267, 519, 544, 9476, 1961, 636, 540, 7977, 779, 20096, 4622, 634, 18344, 545, 630, 3393, 275, 1700, 276, 2918, 595, 9950, 4700, 538, 24497, 28225, 267, 7977, 267, 20998, 1100, 824, 2679, 538, 519, 4936, 268, 3528, 345, 14932, 1158, 269, 4706, 476, 4968, 268, 2023, 8122, 1765, 8364, 1386, 689, 513, 2582, 28973, 540, 18899, 29170, 3072, 538, 2413, 23886, 807, 1765, 2108, 331, 4169, 892, 519, 3003, 2497, 538, 1747, 267, 1818, 621, 2352, 547, 4894, 1256, 513, 2582, 6149, 269, 4208, 1705, 634, 18344, 545, 979, 547 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 11586, 292, 264, 543, 267, 4496, 268, 16955, 3114, 11517, 18254, 630, 19616, 4211, 13748, 264, 723, 1044, 6700, 538, 930, 2487, 7041, 5773, 269, 769, 519, 13506, 19068, 1505, 585, 1383, 267, 7086, 1756, 543, 28227, 616, 2322, 538, 21247, 10935, 543, 2554, 21724, 538, 513, 19460, 693, 476, 7785, 9180, 269, 2311, 713, 1448, 267, 28227, 568, 2019, 520, 1242, 543, 22851, 538, 513, 5114, 609, 7086, 1756, 269, 2991, 519, 12821, 2026, 568, 3812, 267, 621, 568, 15702, 538, 513, 7086, 1756, 3070, 538, 1931, 547, 6460, 782, 540, 519, 7086, 1756, 883, 7086, 1756, 19070, 728, 269, 13536, 519, 2837, 568, 24111, 547, 3914, 547, 476, 11277, 279, 9180, 585, 7086, 1756, 19070, 728, 547, 15835, 269, 2991, 519, 19460, 6238, 547, 3579, 1524, 7930, 267, 12821, 2026, 13737, 14848, 616, 4646, 269, 634, 13506, 19068, 1505, 568, 25368, 2094, 519, 4611, 7086, 1756, 19070, 728, 814, 513, 1164, 2298, 543, 1970, 8919, 476, 273, 269, 1703, 568, 1776, 4480, 1634, 607, 20710, 326, 2006, 21178, 1442, 321, 24147, 2944, 676, 12627, 2208, 538, 513, 8880, 7997, 19460, 1141, 28227, 543, 7086, 1756, 2746, 538, 519, 11517, 5123, 607, 519, 1863, 6675, 1799, 984, 559, 1125, 593, 519, 6079, 14848, 693, 519, 16830, 513, 851, 540, 519, 19460, 1141, 519, 2837, 568, 1970, 269, 769, 5277, 20206, 4327, 595, 345, 5255, 23552, 7288, 630, 28421, 264, 1505, 267, 3810, 6986, 14848, 616, 24704, 602, 4865, 513, 10859, 15564, 6819, 4162, 563, 21104, 725, 540, 11829, 1756, 1488, 11420, 728, 654, 2378, 619, 454, 763, 3601, 540, 7086, 1756, 19070, 728, 609, 922, 1883, 1909, 538, 5009, 519, 2298, 540, 5907, 3457, 814, 3366, 547, 513, 2603, 540, 3156, 538, 2257, 543, 2872, 6140, 1813, 547, 519, 7086, 1756, 19070, 728, 530, 2378, 619, 2539, 5706, 2032, 543, 2362, 15298, 10688, 269, 2353, 891, 8903, 4162, 543, 3601, 616, 2614, 18144, 585, 7086, 1756, 19070, 728, 530, 2378, 619, 547, 581, 4294, 538, 5547, 787, 1949, 540, 17196, 1448, 3562, 15304, 6402, 267, 15408, 267, 5100, 11436, 267, 2362, 4908, 2234, 1513, 543, 2792, 3457, 269, 3958, 267, 7086, 1756, 19070, 728, 530, 2378, 619, 723, 849, 1336, 3156, 538, 5663, 717, 18365, 1019, 3941, 585, 13590, 2234, 9911, 5108, 267, 2523, 538, 17196, 3148, 269, 3353, 1227, 267, 7086, 1756, 19070, 728, 814, 519, 3959, 540, 32749, 1769, 269, 28582, 2590, 547, 713, 267, 27178, 630, 6665, 1043, 1769, 32749, 1019, 3941, 264, 856, 540, 7086, 1756, 19070, 728, 723, 3156, 538, 3059, 10525, 540, 1753, 14233, 899, 14023, 2209, 267, 7641, 338, 267, 11067, 6191, 543, 8670, 13195, 1667, 607, 1134, 607, 23252, 543, 13964, 3915, 15236, 543, 865, 8521, 269, 634, 18342, 27178, 723, 3156, 538, 6552, 8060, 8666, 4172, 680, 619, 543, 12514, 609, 1313, 1993, 1371, 2298, 563, 12812, 12005, 547, 6258, 2859, 6168, 590, 2438, 13503, 528, 654, 2378, 619, 454, 763, 1769, 2707, 585, 9804, 10618, 3457, 267, 8955, 23252, 543, 9804, 28283, 616, 782, 9280, 609, 8955, 1019, 3941, 269, 4595, 519, 6475, 10688, 540, 538, 7086, 1756, 19070, 728, 568, 2947, 2053, 607, 1164, 607, 13339, 267, 519, 12821, 2026, 530, 2378, 619, 723, 3376, 3156, 607, 26828, 585, 7471, 6964, 538, 2706, 5904, 609, 1164, 11250, 269, 769, 865, 3257, 267, 2361, 1198, 27820, 630, 293, 4953, 338, 264, 723, 3156, 538, 7586, 13294, 609, 1360, 1970, 6846, 1031, 538, 14580, 2314, 267, 15408, 1463, 31076, 1062, 543, 5985, 11436, 269, 1548, 779, 811, 267, 7086, 1756, 19070, 728, 723, 13590, 5982, 3601, 607, 1134, 269, 4475, 543, 1759, 593, 713, 3959, 540, 12821, 2026, 267, 8065, 8596, 616, 6964, 538, 5179, 17568, 8596, 543, 23301, 7397, 269, 3204, 8973, 519, 8143, 6617, 543, 2584, 29090, 3601, 540, 7086, 1756, 19070, 728, 267, 12821, 2026, 2861, 3859, 2281, 723, 1336, 3096, 607, 18402, 609, 1279, 1272, 543, 2362, 31931, 6140, 1031, 538, 15408, 269, 7305, 476, 272, 26564, 519, 7086, 1756, 19070, 728, 530, 2378, 619, 3156, 476, 273, 563, 8368, 476, 272, 269, 11829, 1756, 1488, 11420, 728, 654, 2378, 619, 10241, 476, 273, 454, 347, 23409, 12998, 1475, 14106, 1043, 10896, 1475, 11514, 2452, 17689, 267, 9205, 4159, 267, 1795, 13678, 850, 3684, 267, 17002, 2008, 347, 14813, 14518, 10896, 1475, 7230, 1774, 17120, 267, 1313, 1993, 1371, 8254, 267, 8666, 2275, 537, 16980, 2008, 30054, 6471, 26534, 1475, 18893, 673, 12210, 543, 6775, 17689, 267, 8955, 17002, 267, 17568, 9300, 2008, 347, 11947, 18286, 10688, 1475, 18204, 3603, 5547, 1475, 21841, 30041, 18286, 2780, 2008, 347, 11947, 4908, 1475, 293, 1752, 13716, 27820, 1475, 31466, 992, 1511, 24582, 267, 15409, 15146, 267, 1463, 31076, 676, 9682, 2008, 347, 16978, 668, 24599, 1143, 1475, 295, 718, 8596, 1475, 305, 19318, 11281, 267, 5179, 1790, 3789, 532, 9300, 2008, 347, 21900, 29090, 2534, 1475, 23530, 2281, 1475, 25823, 22972, 11718, 2008, 294, 718, 1756, 19070, 728, 530, 2378, 619, 723, 7153, 607, 606, 1997, 908, 14041, 547, 11753, 15373, 832, 267, 9804, 543, 5907, 3457, 609, 7471, 11387, 2921, 519, 5383, 540, 741, 1463, 543, 6626, 6512, 326, 2355, 267, 2362, 15298, 10688, 543, 2539, 5706, 2032, 269, 0, 307, 10061, 2100, 3778, 269, 476, 6021, 269, 1321, 269, 6734, 269, 31595, 781, 13504, 11904, 902, 540, 519, 7599, 281, 519, 1101, 12382, 8084, 7422, 540, 513, 18477, 1843, 269, 769, 476, 8182, 280, 606, 7969, 21997, 543, 31485, 3957, 31595, 2968, 519, 1101, 1268, 547, 1448, 513, 16263, 6607, 1189, 269, 4014, 602, 16263, 729, 1507, 543, 519, 2592, 27967, 267, 31595, 729, 2111, 547, 1118, 856, 10239, 543, 1835, 11596, 593, 269, 1547, 1717, 267, 5491, 585, 519, 5137, 540, 1101, 835, 729, 2016, 547, 17713, 700, 26802, 30750, 267, 4436, 23899, 7828, 32291, 543, 4715, 12386, 20536, 945, 1101, 7307, 547, 2744, 513, 14664, 593, 513, 16263, 3926, 454, 269, 634, 1686, 540, 519, 16263, 269, 634, 16263, 568, 513, 2241, 3926, 5497, 547, 3986, 5075, 267, 1818, 11397, 1919, 2408, 6251, 269, 898, 568, 713, 602, 2306, 621, 865, 3730, 543, 11684, 585, 946, 593, 2244, 543, 693, 4262, 476, 9340, 22370, 8554, 676, 476, 3583, 631, 5474, 538, 476, 279, 18831, 1282, 476, 276, 2578, 3753, 269, 8080, 547, 16423, 22370, 8554, 267, 513, 4015, 540, 3140, 24985, 269, 1411, 616, 14376, 547, 588, 2651, 16837, 569, 998, 713, 5691, 9754, 540, 3140, 24985, 269, 898, 568, 12479, 602, 538, 865, 3257, 267, 596, 786, 6095, 1676, 930, 540, 519, 18399, 267, 1256, 10761, 267, 713, 21689, 270, 6135, 648, 337, 1185, 538, 519, 269, 634, 16263, 607, 649, 917, 621, 2221, 814, 8854, 998, 1896, 1713, 19325, 2094, 621, 729, 1101, 31601, 1259, 1394, 538, 476, 8182, 279, 269, 898, 568, 849, 835, 540, 938, 1034, 1271, 3621, 18563, 585, 3695, 938, 15270, 269, 769, 713, 2376, 267, 649, 786, 3460, 998, 519, 1686, 540, 519, 16263, 15415, 267, 609, 8037, 19528, 689, 17713, 700, 26802, 30750, 11783, 634, 1686, 540, 519, 16263, 568, 513, 1279, 543, 1360, 4277, 835, 269, 1635, 18332, 5062, 293, 5417, 523, 269, 5463, 476, 5881, 267, 476, 1708, 271, 1547, 476, 272, 267, 476, 273, 269, 634, 16263, 814, 22734, 606, 11999, 7004, 2094, 621, 729, 1101, 31601, 538, 563, 763, 9998, 24985, 941, 18195, 532, 24985, 267, 799, 7500, 609, 1079, 4837, 14485, 281, 606, 2363, 788, 19991, 543, 606, 6662, 7828, 547, 1445, 1769, 543, 3172, 1518, 519, 2070, 269, 7338, 4498, 686, 582, 945, 1185, 5892, 6170, 942, 538, 519, 10162, 534, 5803, 11175, 538, 1018, 568, 1631, 3345, 10491, 267, 1500, 519, 1101, 12400, 540, 519, 7599, 1210, 513, 16263, 538, 476, 8182, 280, 634, 19866, 18412, 23571, 25076, 729, 8385, 3710, 593, 519, 3135, 1141, 519, 674, 690, 2401, 7732, 4867, 29084, 269, 898, 729, 6410, 547, 922, 1699, 4087, 538, 519, 4832, 540, 476, 4350, 274, 267, 1985, 547, 519, 17341, 5742, 269, 3487, 569, 1317, 540, 922, 4087, 593, 519, 772, 300, 12578, 13464, 267, 519, 2616, 2218, 1419, 13341, 8654, 2042, 282, 519, 2160, 13333, 6360, 8279, 693, 3781, 2059, 1496, 22370, 641, 24140, 1201, 2350, 388, 505, 773, 269, 22370, 641, 592, 630, 19734, 6067, 659, 26324, 281, 7658, 815, 8977, 324, 267, 1236, 2100, 514, 815, 513, 524, 2075, 9508, 267, 513, 981, 2088, 264, 1609, 324, 796, 6293, 1416, 1071, 937, 324, 1794, 26324, 561, 29837, 632, 3288, 796, 1073, 328, 624, 3331, 362, 526, 788, 26324, 4135, 520, 267, 694, 3492, 516, 1794, 26324, 3331, 362, 660, 337, 10595, 14047, 630, 11133, 527, 535, 665, 541, 1070, 476, 388, 503, 328, 3132, 522, 4952, 544, 26324, 761, 26324, 269, 1546, 388, 503, 328, 694, 2512, 26324, 24140, 2165, 523, 592, 12382, 641, 267, 632, 1073, 823, 328, 267, 12382, 641, 592, 23726, 267, 1416, 1566, 699, 1794, 26324, 3331, 362, 333, 269, 589, 1686, 540, 24985, 282, 589, 1686, 540, 24985, 269, 1215, 1705, 24985, 2097, 883, 1445, 269, 476, 5400, 5181, 476, 1708, 271, 269, 19877, 609, 1547, 9400, 14480, 333, 267, 3163, 7467, 5507, 269, 3487, 540, 519, 1397, 22370, 8554, 3414, 5384, 269, 570, 5085, 18739, 14154, 269, 15894, 281, 772, 21119, 1924, 828, 6951, 267, 3842, 24296, 680, 1662, 269, 7591, 8281, 269, 9523, 454, 763, 3657, 322, 756, 334, 23571, 729, 513, 476, 25134, 544, 630, 272, 267, 1822, 10264, 264, 20085, 2992, 528, 5925, 16263, 3710, 883, 513, 2067, 16173, 23346, 693, 519, 3657, 322, 756, 334, 25076, 4092, 2282, 3657, 322, 756, 334, 267, 17896, 22656, 6993, 10814, 2173, 870, 27464, 762, 17513, 543, 1896, 16986, 10141, 1562, 585, 32749, 6786, 941, 15841, 476, 5611, 544, 630, 5392, 273, 10264, 264, 1657, 519, 8670, 269, 4467, 921, 1540, 538, 5437, 476, 3422, 274, 267, 519, 3657, 322, 756, 334, 23571, 729, 519, 1158, 781, 4102, 2582, 268, 1653, 339, 675, 269, 1280, 811, 982, 476, 1428, 1296, 267, 519, 26931, 6611, 23571, 814, 1044, 3246, 3744, 543, 519, 1857, 609, 20498, 2592, 540, 2620, 2230, 269, 2290, 540, 519, 1034, 1099, 10999, 4359, 4773, 540, 3937, 602, 3425, 723, 2322, 883, 10739, 267, 26931, 814, 5280, 3173, 1118, 1271, 8906, 827, 938, 7122, 267, 8151, 689, 10785, 543, 6801, 547, 15270, 543, 14421, 1108, 589, 16684, 3778, 540, 22370, 8554, 568, 513, 6456, 9740, 602, 3340, 519, 6345, 547, 3605, 519, 4773, 540, 513, 4583, 10839, 540, 15537, 8316, 6362, 676, 6313, 2185, 1114, 24985, 1472, 717, 1408, 514, 528, 269, 4014, 519, 1931, 585, 519, 9740, 568, 13061, 267, 519, 10839, 4607, 568, 519, 5311, 540, 6313, 281, 6989, 540, 519, 25076, 267, 5087, 540, 16836, 12668, 454, 12648, 1852, 540, 707, 16263, 256, 8281, 519, 22966, 652, 1258, 623, 310, 296, 23571, 6513, 12229, 269, 21708, 21545, 531, 2561, 269, 22966, 652, 1258, 781, 17676, 4541, 10740, 813, 568, 606, 17651, 24194, 602, 28196, 1149, 875, 596, 1995, 519, 3781, 6607, 269, 4635, 23571, 29431, 788, 773, 806, 269, 2659, 2363, 788, 773, 806, 616, 519, 1101, 17960, 596, 1058, 1451, 547, 946, 609, 707, 16263, 269, 3367, 938, 3391, 23571, 267, 3926, 1031, 547, 1106, 3172, 1881, 2592, 540, 11397, 3615, 269, 634, 16263, 568, 17216, 519, 1034, 1271, 3329, 894, 1907, 538, 17651, 269, 898, 2488, 513, 1797, 540, 10655, 543, 7421, 5982, 689, 18477, 3615, 267, 1256, 1346, 538, 519, 2484, 10301, 540, 519, 7122, 634, 1034, 1271, 24985, 538, 1686, 269, 476, 1839, 5988, 476, 1220, 280, 769, 11812, 540, 519, 4139, 5729, 540, 18395, 538, 476, 1220, 280, 267, 1715, 26831, 3217, 596, 593, 606, 6186, 24316, 4663, 540, 930, 540, 519, 563, 3080, 568, 634, 3778, 540, 519, 23571, 267, 2854, 676, 8361, 3751, 543, 3370, 676, 667, 1478, 7734, 269, 901, 1433, 568, 513, 1434, 1376, 547, 1451, 827, 1686, 267, 855, 519, 1686, 538, 519, 1433, 1281, 1439, 1472, 476, 4198, 271, 269, 1677, 7110, 667, 1478, 781, 1433, 267, 2983, 4752, 1656, 619, 523, 3947, 513, 1434, 2272, 540, 519, 16263, 538, 634, 23571, 281, 4706, 3778, 267, 5303, 267, 543, 8892, 630, 32459, 17662, 269, 476, 5655, 7629, 636, 3215, 23571, 12700, 269, 1635, 10127, 514, 2274, 18255, 731, 339, 267, 18947, 27752, 269, 15618, 4728, 476, 2767, 267, 476, 1001, 278, 269, 22370, 8554, 711, 1152, 948, 3172, 1518, 2484, 268, 12537, 3615, 855, 789, 849, 1450, 3425, 547, 1294, 2694, 540, 519, 1769, 8552, 3564, 7298, 1769, 267, 1519 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 610, 3842, 552, 17733, 693, 1496, 16942, 6870, 316, 0, 2467, 568, 930, 10539, 827, 1018, 11225, 513, 20538, 7504, 543, 849, 1018, 454, 3698, 1149, 513, 20538, 7504, 9742, 269, 20226, 786, 2995, 596, 602, 538, 1931, 547, 581, 454, 5035, 1881, 607, 513, 968, 2381, 328, 1155, 892, 7504, 891, 20036, 2370, 2831, 991, 547, 581, 1100, 26339, 454, 22474, 476, 1691, 269, 273, 327, 1343, 630, 15704, 4699, 610, 476, 6812, 6279, 264, 689, 2212, 547, 3723, 563, 763, 1614, 1292, 14981, 602, 666, 581, 1362, 539, 607, 20538, 9640, 616, 519, 454, 13563, 543, 519, 3703, 22387, 1155, 21696, 543, 519, 3810, 2442, 14861, 710, 534, 454, 293, 531, 629, 7578, 269, 1452, 1614, 14981, 782, 7703, 519, 4162, 540, 513, 2407, 21092, 454, 1817, 572, 269, 634, 1152, 3017, 568, 602, 789, 616, 896, 476, 6812, 514, 2583, 538, 4463, 563, 3080, 3364, 568, 585, 2386, 568, 602, 519, 20538, 7504, 568, 711, 519, 1267, 540, 930, 454, 845, 540, 4719, 29840, 855, 3079, 941, 26870, 585, 513, 1808, 1599, 267, 543, 454, 2254, 607, 513, 1397, 7504, 610, 513, 7279, 269, 634, 3312, 20538, 533, 23888, 941, 960, 454, 4243, 525, 538, 782, 2631, 540, 519, 2262, 269, 1452, 941, 2701, 339, 1633, 267, 667, 691, 332, 3233, 610, 21730, 533, 23888, 2676, 21710, 689, 519, 3312, 6477, 3240, 7504, 9742, 267, 799, 941, 2919, 547, 688, 592, 7047, 338, 454, 8364, 11538, 24435, 267, 5755, 610, 547, 688, 592, 513, 726, 578, 538, 519, 4610, 563, 4415, 519, 4417, 540, 12957, 1472, 15823, 610, 865, 1296, 3516, 267, 9742, 619, 3459, 547, 454, 23024, 2939, 609, 9960, 891, 20538, 12490, 811, 607, 513, 1397, 7504, 267, 609, 519, 454, 288, 4599, 588, 718, 542, 1373, 1031, 547, 3132, 12490, 602, 941, 811, 29765, 543, 941, 454, 514, 1249, 20538, 9640, 269, 2368, 540, 519, 20923, 1806, 540, 20538, 9640, 616, 454, 29006, 4163, 519, 8984, 5920, 540, 513, 9910, 6259, 588, 718, 542, 2676, 1492, 2063, 2540, 267, 543, 2523, 689, 519, 4571, 6957, 2906, 593, 1189, 267, 1896, 1007, 14981, 454, 17647, 1044, 2919, 269, 2290, 540, 519, 1034, 7986, 568, 519, 27725, 2284, 623, 3415, 269, 634, 27725, 2284, 454, 303, 3415, 729, 2919, 676, 9960, 513, 11360, 2284, 588, 718, 542, 609, 21730, 20538, 533, 23888, 563, 763, 20538, 27725, 2284, 533, 23888, 941, 1851, 519, 1101, 547, 2253, 547, 3035, 519, 454, 1952, 30970, 543, 4162, 540, 513, 26987, 1524, 4528, 540, 519, 27725, 2284, 21696, 563, 295, 871, 2284, 9910, 2137, 616, 24886, 547, 519, 3750, 267, 543, 666, 3109, 267, 6960, 610, 9221, 18133, 538, 454, 10233, 267, 1247, 1419, 12946, 3043, 24795, 593, 741, 2212, 543, 9221, 563, 763, 533, 3415, 540, 519, 17113, 9742, 9583, 32338, 730, 607, 519, 1267, 540, 606, 454, 3147, 1211, 531, 3444, 1063, 513, 2701, 339, 1633, 533, 3415, 543, 606, 2561, 14900, 6242, 269, 2561, 14900, 657, 553, 616, 1634, 454, 1721, 741, 10058, 682, 16985, 19481, 10359, 2681, 607, 1134, 607, 824, 10058, 454, 874, 9713, 4162, 269, 26499, 814, 621, 602, 519, 2561, 14900, 6242, 9742, 729, 2919, 454, 2421, 13896, 2713, 2673, 547, 519, 6022, 1787, 5211, 267, 543, 519, 2012, 2919, 689, 454, 303, 23888, 540, 3013, 723, 513, 1360, 7168, 2212, 609, 1804, 543, 22192, 4064, 267, 543, 454, 320, 3068, 602, 568, 1360, 24188, 540, 602, 540, 606, 26768, 7504, 269, 1358, 616, 4583, 585, 454, 26132, 1360, 1256, 29525, 543, 513, 2462, 5172, 1851, 20538, 7504, 9742, 619, 454, 663, 5411, 7567, 269, 7324, 519, 1655, 1634, 540, 519, 20538, 7504, 14981, 568, 519, 454, 293, 531, 629, 7578, 799, 12090, 538, 18335, 538, 519, 3735, 13524, 2540, 269, 898, 729, 454, 16467, 539, 676, 606, 1163, 27074, 622, 2296, 2006, 945, 4603, 539, 609, 1585, 21221, 533, 3415, 454, 3691, 2644, 543, 9488, 321, 1042, 338, 602, 941, 4130, 982, 3328, 269, 634, 2012, 24415, 629, 7578, 568, 454, 5228, 20844, 24415, 629, 7578, 267, 945, 729, 3743, 585, 2417, 543, 3803, 1646, 540, 454, 1492, 9742, 269, 7316, 519, 2561, 14900, 657, 553, 1796, 856, 568, 972, 4463, 267, 25864, 8757, 811, 454, 22474, 476, 4343, 6279, 269, 1879, 789, 616, 1101, 4535, 789, 666, 581, 607, 2370, 607, 5216, 6279, 454, 514, 4463, 269, 1323, 3328, 24415, 629, 7578, 20538, 7504, 786, 581, 3362, 8036, 607, 789, 454, 732, 3810, 10995, 607, 1134, 607, 1373, 11235, 547, 5225, 741, 5411, 14121, 1778, 619, 563, 2026, 789, 616, 1312, 1507, 543, 2178, 267, 789, 666, 581, 6026, 547, 5397, 7047, 338, 693, 2982, 2676, 553, 1134, 607, 547, 581, 678, 5200, 676, 1453, 269, 4014, 972, 616, 1082, 1016, 14981, 540, 454, 2381, 328, 1155, 9640, 267, 519, 27725, 2284, 623, 3415, 267, 24415, 629, 7578, 543, 1977, 623, 3415, 616, 676, 2484, 543, 454, 12537, 519, 1655, 1634, 269, 0, 30560, 1097, 630, 29557, 2296, 267, 689, 17454, 6363, 3402, 5789, 857, 267, 689, 19744, 5824, 5789, 1027, 19985, 5789, 806, 267, 689, 5824, 267, 834, 23748, 6976, 267, 13848, 2580, 689, 24271, 19985, 5789, 3495, 834, 1067, 577, 663, 1047, 8442, 568, 513, 3376, 2165, 602, 4016, 547, 1649, 5271, 565, 775, 267, 19807, 543, 11587, 538, 513, 3099, 540, 5683, 267, 3909, 267, 1514, 543, 3656, 8658, 563, 763, 1523, 540, 513, 834, 300, 2075, 3814, 2696, 257, 5526, 538, 1585, 10764, 267, 1519, 8567, 543, 5771, 269, 27400, 6411, 540, 23502, 607, 513, 5057, 540, 3909, 4978, 568, 849, 15091, 998, 3527, 971, 607, 519, 4758, 540, 620, 916, 267, 543, 1416, 585, 519, 7210, 543, 3718, 540, 8585, 1097, 563, 1103, 519, 1514, 543, 3656, 2796, 267, 23502, 949, 3277, 1312, 547, 17519, 2623, 593, 519, 851, 540, 1346, 538, 1379, 630, 324, 3052, 269, 23502, 3254, 676, 513, 9794, 4724, 513, 20903, 1070, 610, 593, 519, 851, 540, 513, 19493, 3791, 5428, 267, 552, 3052, 1421, 513, 5692, 540, 23502, 17935, 547, 1521, 2112, 9601, 563, 8448, 4930, 1644, 547, 834, 1067, 1097, 13426, 1862, 4595, 1010, 24235, 538, 476, 1960, 272, 267, 1896, 23502, 4620, 1431, 1185, 1044, 19429, 676, 7203, 629, 329, 527, 781, 17864, 3267, 7183, 540, 519, 23502, 4620, 1431, 1185, 1044, 11292, 4429, 1862, 1261, 5012, 519, 5600, 540, 8585, 1097, 17020, 799, 4249, 12353, 538, 5939, 3267, 834, 31359, 540, 8585, 1097, 3465, 757, 257, 568, 18596, 1397, 593, 10732, 1256, 902, 693, 519, 5695, 325, 11833, 538, 853, 3267, 6754, 267, 799, 2934, 519, 5600, 540, 8585, 1097, 17020, 543, 1866, 4429, 1862, 2398, 2946, 3200, 267, 3627, 5500, 8585, 1356, 264, 476, 23283, 834, 290, 2867, 781, 570, 2317, 257, 630, 10870, 1156, 264, 476, 25908, 834, 30560, 1097, 267, 8585, 1097, 267, 8585, 1097, 257, 630, 297, 4141, 2098, 1177, 514, 592, 264, 476, 18891, 834, 10267, 2131, 547, 4258, 2131, 257, 630, 296, 337, 1324, 12670, 264, 476, 20542, 4429, 1862, 8585, 1097, 15332, 645, 7451, 729, 8547, 538, 476, 1220, 279, 676, 590, 3563, 3057, 1176, 333, 700, 864, 344, 538, 3210, 547, 519, 2136, 8315, 685, 7085, 3317, 1756, 4886, 17644, 3267, 10361, 32483, 1229, 538, 13244, 27262, 267, 4993, 267, 8585, 1097, 15332, 645, 7451, 6402, 772, 2529, 3267, 8585, 1097, 15332, 645, 7451, 11438, 856, 922, 5692, 3842, 1079, 2994, 2290, 7043, 2165, 1689, 676, 5009, 519, 2069, 540, 2021, 543, 6690, 4429, 1862, 769, 10552, 21940, 649, 1451, 602, 8585, 1097, 568, 10169, 11259, 547, 930, 4012, 923, 971, 607, 30632, 790, 735, 13955, 610, 941, 342, 6504, 3640, 1852, 3267, 1864, 547, 798, 1919, 646, 9327, 1406, 3921, 27274, 798, 543, 602, 8585, 1097, 568, 23248, 4761, 543, 786, 581, 2111, 547, 1867, 1394, 547, 1010, 694, 9220, 1058, 4376, 4755, 547, 3267, 2986, 1576, 267, 1919, 979, 21354, 543, 4166, 8585, 1097, 568, 20386, 909, 538, 513, 6968, 585, 513, 30632, 790, 4882, 13396, 17243, 945, 568, 4929, 519, 10222, 20079, 1858, 547, 723, 606, 2799, 4473, 538, 5208, 267, 31362, 4429, 293, 13904, 10530, 5627, 519, 2262, 23502, 912, 2108, 2691, 4906, 649, 696, 267, 519, 9991, 15237, 454, 514, 23502, 2095, 539, 3564, 782, 3808, 3248, 15290, 4906, 9240, 534, 539, 267, 513, 1726, 3387, 1782, 4250, 454, 572, 1242, 782, 519, 16944, 1158, 1472, 3034, 1765, 19365, 9291, 902, 630, 14690, 277, 1240, 876, 994, 2108, 29128, 519, 2367, 540, 2962, 2312, 856, 519, 2911, 619, 649, 945, 723, 1514, 931, 31190, 616, 693, 519, 23502, 540, 1346, 945, 723, 9039, 3034, 1765, 24730, 24527, 26396, 630, 6977, 277, 866, 2004, 994, 2108, 4415, 11683, 18039, 267, 23502, 568, 513, 6612, 269, 2060, 803, 267, 621, 568, 8806, 1434, 25654, 269, 1411, 949, 9794, 799, 30254, 568, 519, 811, 6325, 3034, 1765, 27144, 12157, 339, 630, 4572, 275, 866, 4817, 264, 0, 289, 755, 539, 281, 5440, 476, 276, 12619, 3733, 2195, 2334, 2052, 15053, 2659, 2657, 454, 2171, 6108, 835, 3791, 540, 938, 1272, 12008, 269, 9747, 267, 972, 1590, 581, 513, 1434, 2601, 1946, 2470, 2306, 721, 3207, 585, 713, 1279, 269, 14066, 1297, 540, 2090, 782, 936, 519, 1158, 723, 3254, 519, 6225, 2360, 540, 1434, 3207, 563, 28036, 22975, 267, 593, 519, 824, 1688, 267, 3947, 4473, 547, 513, 3099, 540, 1072, 2152, 607, 11329, 856, 676, 3173, 942, 543, 1586, 269, 1656, 513, 1297, 540, 14868, 1472, 3207, 1039, 547, 519, 1072, 9651, 540, 5312, 3207, 22975, 563, 288, 1007, 1353, 267, 3370, 676, 513, 1895, 540, 3173, 538, 519, 4760, 12619, 2657, 267, 814, 21821, 539, 476, 736, 1034, 11342, 3207, 14868, 543, 3181, 6064, 539, 873, 563, 307, 22736, 827, 519, 1353, 267, 31929, 7605, 321, 1231, 267, 8048, 15766, 1807, 540, 519, 1353, 689, 1715, 3840, 2160, 267, 1767, 912, 2080, 2461, 519, 1283, 3207, 14868, 602, 596, 1058, 6157, 711, 2887, 10352, 547, 912, 13349, 3733, 2195, 6168, 12619, 454, 2080, 2461, 930, 540, 519, 1455, 14868, 827, 3207, 912, 299, 3716, 10965, 1681, 568, 13159, 569, 16453, 454, 2005, 779, 835, 540, 519, 1034, 1455, 14868, 602, 2879, 1681, 568, 4625, 20027, 563, 27409, 1681, 568, 513, 2783, 1141, 1945, 538, 519, 9224, 267, 5023, 267, 11563, 610, 9641, 7161, 7244, 1247, 12008, 269, 901, 7472, 513, 2571, 15828, 3716, 543, 18473, 3280, 563, 4407, 2879, 1681, 666, 581, 20027, 538, 1978, 2665, 267, 621, 666, 849, 581, 513, 1129, 540, 3207, 19103, 267, 513, 5732, 3978, 3207, 4524, 563, 7804, 667, 650, 517, 667, 338, 537, 5633, 267, 513, 29180, 2861, 13693, 656, 13673, 307, 543, 10361, 543, 3026, 1188, 31048, 517, 609, 808, 553, 331, 758, 11233, 543, 2677, 2967, 6413, 267, 6941, 912, 7804, 667, 338, 537, 5633, 8591, 602, 538, 4079, 267, 621, 779, 513, 1129, 540, 5855, 950, 972, 779, 10978, 5312, 2879, 1681, 3592, 1169, 3781, 267, 669, 3183, 267, 2879, 15659, 610, 3154, 4771, 1282, 3207, 267, 24971, 909, 1419, 4743, 856, 540, 7362, 267, 24971, 909, 609, 513, 3819, 5023, 267, 24817, 3207, 1465, 543, 13110, 1145, 267, 2469, 547, 19880, 1419, 693, 3781, 267, 7340, 6888, 543, 8519, 5834, 267, 543, 6640, 14331, 563, 763, 4589, 540, 519, 1353, 849, 5000, 2550, 711, 547, 14962, 10978, 2879, 1681, 267, 855, 2864, 547, 1294, 513, 4387, 2094, 713, 3207, 7180, 949, 1291, 547, 2295, 3247, 335, 1137, 610, 824, 10108, 563, 2791, 10261, 10815, 12619, 607, 1411, 6520, 454, 1607, 814, 547, 581, 835, 540, 519, 9510, 14868, 538, 519, 3207, 23573, 267, 602, 596, 1810, 1406, 991, 607, 1454, 3207, 607, 596, 1332, 2025, 269, 898, 779, 942, 649, 3247, 1022, 2417, 10419, 1674, 540, 713, 7242, 910, 782, 4079, 991, 5722, 32732, 3108, 547, 3207, 829, 3781, 593, 606, 3328, 269, 11270, 563, 763, 2817, 12619, 7690, 267, 7330, 267, 15565, 5722, 547, 8370, 3108, 3207, 1169, 3781, 11489, 519, 2085, 540, 476, 5038, 543, 5722, 547, 5216, 3108, 585, 4896, 936, 476, 4792, 563, 11854, 1136, 547, 28218, 4505, 267, 17240, 3000, 6048, 3220, 23819, 553, 8575, 1722, 320, 267, 1767, 912, 3383, 798, 1294, 513, 4387, 952, 596, 666, 1406, 1205, 2614, 3207, 563, 2704, 4022, 1299, 27657, 6969, 16170, 6435, 1411, 4039, 1314, 454, 6624, 540, 721, 1745, 602, 513, 4837, 540, 938, 5172, 6216, 344, 1175, 1354, 5127, 786, 948, 721, 1205, 513, 1434, 3781, 779, 3207, 269, 1809, 621, 568, 513, 7242, 563, 763, 4589, 540, 519 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1944, 519, 4214, 540, 5409, 2023, 545, 267, 5492, 4577, 267, 543, 13666, 4577, 3435, 568, 711, 2556, 950, 596, 1174, 519, 3597, 1913, 602, 1118, 909, 891, 10855, 1913, 269, 3399, 4974, 5492, 4577, 267, 13666, 4577, 267, 5409, 2023, 545, 1451, 6863, 267, 2474, 267, 543, 811, 609, 15460, 267, 3756, 267, 543, 824, 1353, 2645, 269, 2060, 2543, 547, 23015, 2670, 267, 30341, 1216, 786, 2141, 581, 5492, 4577, 3379, 547, 606, 25694, 3070, 5627, 1022, 2179, 540, 513, 1151, 1393, 1317, 30341, 1216, 568, 6986, 543, 3568, 1100, 15702, 6878, 267, 606, 25694, 3070, 609, 1022, 5834, 540, 1151, 1393, 786, 581, 5409, 2023, 545, 950, 3379, 547, 30341, 269, 744, 8243, 2670, 543, 512, 4577, 640, 5409, 2023, 545, 267, 13666, 4577, 267, 543, 5492, 4577, 3435, 543, 741, 1198, 593, 2281, 563, 1432, 568, 519, 3017, 1063, 13666, 4577, 5492, 4577, 543, 5409, 2023, 545, 13666, 4577, 3435, 616, 3435, 2348, 3160, 23015, 5328, 12503, 5492, 4577, 3435, 616, 269, 1548, 568, 519, 3017, 1063, 13666, 4577, 267, 5492, 4577, 543, 5409, 2023, 545, 3435, 2491, 519, 3017, 1063, 5409, 2023, 545, 267, 5492, 4577, 267, 611, 13666, 4577, 23015, 2670, 269, 15486, 267, 2619, 30986, 267, 1973, 270, 584, 710, 4255, 13666, 4577, 546, 630, 10972, 1551, 9996, 267, 13481, 264, 5409, 2023, 545, 546, 630, 325, 1197, 267, 6704, 4262, 1216, 267, 3987, 264, 5492, 4577, 546, 630, 17742, 8482, 1040, 2659, 10700, 3391, 547, 5409, 2023, 529, 5288, 5492, 4577, 543, 13666, 4577, 3435, 1018, 17488, 12862, 1131, 596, 2285, 513, 3461, 563, 29730, 2023, 545, 267, 13666, 4577, 543, 5492, 4577, 3435, 543, 875, 789, 1198, 2030, 543, 3662, 2281, 910, 939, 5652, 5734, 7770, 269, 15214, 2023, 545, 4214, 568, 910, 27109, 7050, 3159, 610, 8082, 875, 547, 946, 5409, 2023, 545, 538, 513, 4845, 2443, 5635, 5492, 4577, 476, 273, 267, 13666, 4577, 476, 272, 2938, 543, 4862, 563, 8368, 593, 519, 1198, 540, 23015, 2670, 593, 3662, 543, 2371, 2281, 2699, 1973, 2281, 5116, 538, 13666, 4577, 3070, 2699, 1973, 2281, 5116, 538, 5409, 2023, 545, 3070, 269, 15214, 2023, 545, 3070, 3152, 5834, 540, 1151, 1393, 3544, 540, 1591, 982, 3330, 4248, 1761, 568, 2362, 23015, 5328, 1761, 568, 2539, 6339, 3350, 540, 269, 1548, 21485, 338, 606, 13666, 4577, 267, 5409, 2023, 545, 543, 5492, 4577, 3070, 547, 1174, 1018, 519, 2474, 13666, 4577, 267, 5409, 2023, 545, 543, 563, 29797, 582, 4577, 267, 13666, 4577, 543, 5409, 2023, 545, 5026, 10425, 6045, 3442, 2635, 5026, 10425, 689, 993, 534, 1440, 3570, 269, 744, 8243, 2670, 2164, 851, 476, 272, 630, 5228, 2451, 547, 1318, 264, 5492, 4577, 3070, 267, 13666, 4577, 3070, 267, 5409, 2023, 545, 3070, 269, 1879, 513, 2699, 1973, 1591, 568, 5116, 538, 513, 5409, 2023, 545, 3070, 267, 621, 695, 337, 3855, 607, 1216, 568, 6537, 856, 540, 519, 1591, 543, 883, 519, 4478, 3070, 952, 519, 1482, 1973, 1591, 568, 5116, 538, 513, 5492, 4577, 3070, 267, 519, 1973, 1591, 9428, 538, 2450, 1973, 2281, 538, 13666, 4577, 3435, 798, 711, 16756, 610, 2220, 749, 519, 2601, 602, 563, 23921, 948, 538, 1620, 5492, 4577, 267, 5409, 2023, 545, 267, 543, 13666, 4577, 3435, 1224, 6505, 13398, 781, 1353, 3391, 547, 1205, 513, 2620, 1620, 540, 891, 2010, 540, 1151, 2373, 538, 1931, 547, 948, 596, 609, 707, 6780, 610, 5310, 1175, 547, 8897, 707, 7279, 269, 26597, 2090, 723, 1044, 3370, 10442, 519, 13047, 2360, 540, 5409, 2023, 545, 267, 5492, 4577, 267, 543, 13666, 4577, 9252, 9447, 3842, 513, 683, 12712, 6500, 547, 2635, 267, 20060, 532, 619, 269, 901, 5714, 1299, 23386, 7688, 568, 2966, 547, 1449, 707, 1702, 593, 5492, 4577, 267, 5409, 2023, 545, 267, 543, 13666, 4577, 3435, 538, 1840, 267, 596, 786, 581, 7688, 7458, 593, 707, 2702, 547, 1174, 875, 23015, 2670, 1568, 538, 891, 1826, 540, 23015, 6897, 640, 2175, 269, 23738, 4577, 5288, 5409, 2023, 545, 519, 18236, 540, 1216, 6675, 689, 513, 32561, 3070, 547, 513, 13671, 3070, 998, 513, 10859, 12656, 1889, 762, 9245, 568, 1572, 2048, 657, 332, 2670, 9957, 7476, 3758, 0, 13625, 1603, 3391, 1451, 519, 1148, 540, 13085, 1557, 1603, 609, 948, 689, 938, 3610, 1451, 811, 269, 2160, 540, 1608, 4727, 17485, 2587, 7062, 3594, 593, 1582, 12656, 4003, 543, 1344, 13414, 513, 12031, 11643, 538, 9864, 9547, 540, 519, 4170, 585, 519, 269, 32185, 7696, 7696, 7696, 476, 273, 562, 4912, 8226, 4367, 8226, 568, 519, 6073, 676, 799, 606, 1367, 568, 2111, 547, 2070, 610, 2744, 606, 1620, 883, 269, 3367, 1018, 568, 8226, 1863, 1557, 543, 936, 476, 9262, 267, 1822, 824, 1382, 6054, 1018, 568, 8226, 1018, 568, 8226, 2687, 547, 12766, 24628, 2228, 8226, 269, 32185, 540, 4641, 3594, 1018, 568, 1483, 938, 8226, 540, 4641, 568, 1419, 538, 519, 3946, 540, 519, 2146, 649, 2661, 538, 649, 25666, 2093, 540, 4641, 1210, 1995, 563, 9209, 8226, 1148, 8226, 1018, 568, 1148, 2731, 9277, 547, 1611, 798, 5159, 3801, 547, 30035, 1945, 998, 741, 960, 610, 568, 621, 2451, 547, 519, 1620, 540, 269, 32185, 4367, 8226, 568, 3989, 607, 513, 1184, 676, 799, 7103, 4612, 543, 10891, 14815, 547, 3132, 513, 6209, 1995, 540, 519, 1158, 269, 21261, 894, 1557, 5912, 1913, 7824, 586, 1695, 5622, 1557, 593, 5718, 7907, 538, 31448, 4528, 547, 6146, 513, 27629, 1557, 851, 476, 272, 4267, 544, 9346, 1557, 1603, 3028, 2516, 563, 8698, 543, 4647, 8226, 3594, 1806, 849, 3605, 3584, 267, 10643, 267, 14592, 267, 5098, 6898, 267, 543, 8753, 585, 707, 8226, 1557, 269, 32185, 1557, 536, 3073, 518, 5401, 281, 2328, 513, 476, 4335, 268, 16020, 2262, 1557, 827, 3765, 704, 4003, 4901, 540, 519, 5401, 281, 649, 782, 6560, 609, 11994, 3232, 269, 32185, 3594, 16291, 547, 1866, 1557, 267, 10921, 9886, 5856, 14720, 8500, 1557, 17096, 269, 11426, 1557, 1603, 3028, 4766, 1614, 630, 274, 264, 2081, 938, 8226, 540, 1582, 543, 1866, 5540, 938, 8226, 540, 1344, 1985, 267, 2671, 606, 1995, 538, 799, 707, 269, 1280, 713, 7084, 1775, 3442, 519, 2450, 1526, 3599, 689, 519, 14815, 543, 8226, 18862, 2450, 1526, 3599, 4016, 547, 519, 1249, 602, 938, 11994, 540, 519, 2450, 540, 563, 11514, 25068, 281, 713, 1557, 814, 1044, 11643, 676, 513, 2875, 713, 568, 711, 606, 1383, 540, 519, 960, 2854, 676, 938, 3318, 1557, 5830, 1022, 8369, 267, 4681, 269, 1548, 568, 8226, 875, 666, 513, 1268, 779, 8226, 540, 1866, 1764, 606, 3919, 779, 2623, 1018, 616, 519, 2318, 543, 2942, 2360, 540, 1210, 829, 21082, 269, 7348, 543, 4647, 10444, 8226, 3594, 1806, 849, 3605, 3584, 267, 10643, 267, 14592, 267, 5098, 6898, 267, 543, 8753, 585, 707, 10444, 8226, 1557, 269, 1879, 649, 1413, 693, 1945, 267, 616, 649, 782, 7487, 519, 1482, 3364, 8226, 568, 519, 2702, 547, 1294, 267, 5873, 267, 610, 1831, 3222, 540, 1945, 998, 519, 12823, 269, 8682, 8226, 1957, 713, 1557, 1582, 8226, 1957, 543, 824, 476, 7830, 267, 1822, 266, 2165, 4574, 267, 2852, 1557, 1806, 543, 1863, 3594, 616, 2139, 1631, 593, 2689, 612, 904, 1260, 563, 13625, 540, 8226, 1557, 540, 8226, 1101, 543, 19466, 649, 723, 606, 1930, 7450, 3609, 693, 519, 3484, 1317, 649, 3494, 11413, 568, 1898, 547, 12477, 269, 32185, 2165, 4574, 2139, 693, 4541, 4574, 1260, 267, 519, 4102, 1863, 2165, 1957, 2146, 269, 18712, 543, 8226, 281, 519, 4641, 649, 13498, 568, 519, 4641, 649, 1616, 547, 13498, 910, 609, 513, 1863, 1557, 2689, 910, 1863, 1557, 8039, 563, 2005, 568, 1557, 593, 8226, 849, 1271, 547, 596, 3006, 267, 1053, 12735, 3511, 1125, 1510, 1256, 6616, 789, 798, 711, 1616, 938, 7218, 676, 1797, 540, 2298, 543, 3312, 676, 269, 4985, 713, 1957, 786, 3801, 547, 8044, 1996, 519, 1455, 20887, 827, 4641, 543, 8226, 621, 786, 2119, 547, 2491, 602, 8226, 543, 556, 269, 18391, 585, 606, 1557, 3732, 1412, 704, 4003, 262, 946, 713, 835, 607, 513, 2707, 540, 6667, 267, 610, 4444, 2688, 1957, 2854, 689, 15072, 13948, 585, 596, 269, 594, 786, 1217, 519, 5304, 538, 476, 274, 2081, 267, 1946, 8226, 10992, 568, 513, 1434, 1907, 547, 948, 1004, 1174, 1866, 8226, 10992, 568, 1175, 899, 3168, 693, 1114, 269, 0, 17746, 1192, 532, 2495, 2982, 3610, 281, 513, 4819, 7888, 1259, 547, 6338, 543, 2203, 513, 20762, 27132, 540, 8223, 2994, 21276, 569, 267, 865, 1053, 269, 21864, 3988, 946, 513, 3099, 540, 2994, 547, 4020, 2495, 3573, 1382, 936, 519, 2250, 1079, 5756, 814, 3254, 602, 930, 540, 891, 2994, 3100, 269, 2353, 2581, 561, 22678, 518, 14335, 2495, 998, 3308, 8901, 2238, 281, 606, 620, 534, 9886, 1382, 1788, 695, 600, 622, 324, 11542, 538, 4395, 540, 519, 1362, 267, 21312, 563, 10743, 4983, 1257, 5702, 543, 1711, 14391, 725, 547, 1118, 2123, 543, 6209, 4296, 609, 519, 960, 269, 20472, 532, 10096, 543, 20848, 1369, 15821, 4247, 23891, 564, 513, 514, 2917, 267, 561, 714, 12014, 267, 737, 1009, 344, 530, 12291, 20576, 540, 2069, 267, 6280, 540, 2112, 19213, 267, 1547, 634, 3157, 540, 1514, 4070, 616, 2489, 855, 789, 616, 5129, 856, 538, 1114, 2081, 676, 2021, 543, 2367, 1247, 14344, 4664, 547, 581, 1514, 269, 20472, 532, 2495, 2488, 3610, 609, 519, 1184, 543, 2645, 585, 22805, 8763, 1893, 6044, 883, 1543, 1858, 3450, 3992, 4058, 568, 563, 17746, 1192, 532, 2495, 2488, 3610, 609, 519, 1184, 543, 2645, 585, 22805, 8763, 1893, 6044, 883, 1543, 268, 19327, 3450, 3992, 4058, 568, 269, 20472, 4214, 281, 952, 596, 4020, 1945, 971, 607, 513, 2679, 267, 4155, 2073, 610, 3684, 2073, 596, 1628, 621, 610, 1118, 1923, 2495, 267, 12332, 267, 16627, 543, 1806, 269, 634, 1257, 568, 11609, 609, 1806, 540, 6965, 543, 5152, 18405, 602, 723, 1044, 1031, 547, 4020, 2495, 538, 519, 3797, 543, 519, 4589, 262, 1378, 18759, 593, 713, 1547, 18520, 14335, 2495, 538, 2257, 281, 513, 13374, 547, 6565, 585, 7005, 6267, 1476, 539, 3130, 540, 522, 13791, 1153, 16984, 269, 20472, 532, 4214, 281, 476, 272, 1459, 32096, 540, 4020, 273, 547, 1628, 1945, 610, 2322, 1927, 1114, 2694, 547, 1106, 1945, 2898, 281, 1451, 811, 563, 20091, 607, 3206, 281, 968, 322, 761, 1227, 892, 14335, 2495, 540, 1257, 2443, 29827, 705, 321, 2714, 267, 1788, 9614, 267, 519, 2565, 3206, 931, 24832, 519, 3586, 3406, 269, 700, 1872, 1601, 344, 267, 556, 6390, 14335, 2495, 538, 5872, 998, 4605, 2835, 524, 10134, 4760, 476, 273, 630, 1001, 273, 264, 476, 274, 267, 521, 476, 9032, 268, 14056, 3227, 325, 2129, 331, 2940, 1990, 527, 1512, 2426, 270, 6700, 11239, 269, 20472, 532, 2495, 694, 3570, 4172, 28952, 5042, 2257, 8257, 6280, 540, 1608, 4727, 267, 7254, 5884, 2998, 713, 2376, 8039, 5042, 23798, 1382, 563, 17746, 1192, 532, 2495, 281, 1159, 335, 476, 273, 2601, 7493, 569, 543, 11050, 569, 28879, 21295, 1053, 1118, 2631, 540, 9424, 543, 741, 3347, 269, 11150, 585, 14335, 2495, 543, 5464, 1620, 519, 2994, 734, 335, 9438, 532, 267, 15819, 267, 5587, 4328, 267, 543, 28388, 734, 15276, 1053, 4020, 269, 4432, 3035, 5077, 338, 609, 3872, 8041, 547, 1711, 2500, 1949, 585, 7005, 6267, 938, 5692, 568, 547, 4217, 7855, 538, 30015, 7005, 269, 5131, 11288, 593, 27216, 3091, 2870, 10600, 267, 14335, 2495, 568, 519, 1101, 721, 1433, 593, 1650, 1467, 267, 513, 12316, 1505, 585, 3450, 1543, 269, 901, 2985, 3568, 4267, 547, 4749, 4280, 2055, 827, 14335, 2495, 1058, 596, 991, 2417, 6351, 267, 5225, 4757, 721, 693, 563, 17746, 1192, 532, 2495, 689, 14897, 766, 281, 2199, 18189, 5314, 540, 519, 7508, 538, 683, 25659, 269, 23305, 3344, 540, 14335, 2495, 689, 1257, 1257, 12454, 543, 1702, 12454, 4393, 281, 7650, 543, 6476, 7293, 3344, 540, 1547, 21546, 14629, 19618, 1153, 8664, 568, 4098, 922, 476, 276, 628, 1032, 540, 1210, 14335, 2495, 2994, 538, 519, 4928, 585, 519, 2250, 2185, 1296, 267, 6281, 269, 19395, 267, 795, 630, 1220, 271, 264, 5835, 15839, 9897, 281, 3838, 543, 3391, 10092, 547, 4830, 2542, 476, 275, 268, 1321, 2823, 1633, 267, 803, 281, 23296, 5264, 782, 523, 267, 795, 630, 1220, 275, 264, 2645, 585, 3450, 1543, 563, 272, 560, 1630, 1047, 1533, 8257, 540, 1158, 4654, 3486, 10554, 593, 2686, 2090, 269, 4804, 547, 4020, 543, 11753, 2789, 1673, 665, 3701, 7924, 2789, 17856, 338 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 28036, 9882, 4016, 547, 513, 1305, 540, 2853, 543, 6208, 602, 3895, 2635, 543, 1964, 995, 3207, 269, 898, 3322, 2870, 606, 1604, 543, 9591, 13467, 602, 616, 20009, 547, 6099, 3207, 2298, 269, 6153, 3207, 9882, 568, 1898, 585, 4509, 513, 5812, 3207, 8430, 267, 5355, 3207, 8653, 267, 543, 4227, 519, 1981, 540, 3207, 4713, 899, 20026, 563, 3383, 1934, 616, 930, 1883, 3741, 540, 3207, 9882, 3248, 272, 269, 19372, 513, 3117, 11962, 12619, 21480, 454, 3080, 1883, 3693, 568, 9591, 513, 5812, 3207, 8430, 269, 901, 1797, 2469, 547, 5127, 543, 24971, 909, 693, 519, 1482, 942, 1169, 1554, 267, 1256, 593, 32300, 269, 1635, 4509, 513, 2834, 3207, 6296, 267, 596, 15222, 1125, 707, 1560, 779, 4835, 9219, 267, 1634, 607, 519, 27266, 11733, 267, 799, 2337, 10038, 707, 3207, 2914, 820, 4783, 269, 901, 11007, 10607, 519, 2949, 4398, 540, 707, 3207, 267, 1818, 621, 4443, 547, 2887, 18069, 267, 3251, 18069, 267, 543, 12687, 909, 4743, 18589, 1117, 269, 2598, 4533, 532, 707, 3207, 8430, 267, 971, 607, 9363, 909, 3735, 610, 12008, 538, 12150, 569, 267, 666, 25657, 707, 1560, 779, 2067, 11733, 543, 1291, 547, 7965, 538, 9991, 18069, 543, 4509, 513, 11931, 3207, 4806, 269, 1635, 26724, 513, 5812, 3207, 8430, 607, 851, 540, 707, 3207, 9882, 6296, 267, 596, 666, 1489, 707, 1560, 779, 2067, 3207, 6127, 543, 2972, 811, 1964, 995, 17334, 563, 273, 269, 8073, 513, 4039, 1314, 532, 16170, 5503, 13705, 710, 454, 17730, 513, 21363, 21557, 6296, 3322, 2502, 538, 22196, 2238, 538, 519, 5662, 1354, 3207, 547, 5365, 547, 707, 1560, 602, 621, 779, 942, 547, 7938, 785, 269, 901, 6296, 2337, 5912, 689, 519, 11112, 1145, 540, 519, 1554, 547, 513, 1533, 540, 11005, 267, 5009, 513, 23704, 5912, 883, 3207, 269, 11242, 1522, 1331, 2542, 513, 1433, 267, 1316, 2358, 9543, 15198, 610, 10649, 267, 2921, 513, 3636, 8602, 267, 610, 6947, 547, 25695, 2575, 269, 1635, 9319, 18398, 610, 17173, 2238, 899, 960, 610, 7920, 5496, 942, 267, 596, 1450, 707, 2247, 543, 1560, 547, 7930, 2842, 1524, 269, 3117, 626, 1836, 1316, 2358, 513, 21557, 6296, 666, 1711, 513, 31411, 3210, 602, 2337, 9594, 11005, 543, 1732, 3207, 267, 1818, 621, 4443, 547, 2887, 18069, 543, 2972, 513, 1964, 995, 3781, 563, 274, 269, 23423, 22452, 547, 21115, 839, 454, 306, 920, 839, 12520, 4544, 1769, 267, 799, 16401, 525, 519, 2504, 540, 5283, 28853, 267, 513, 9449, 602, 6786, 547, 519, 1560, 602, 621, 779, 942, 547, 3207, 269, 901, 17522, 547, 5283, 28853, 2504, 666, 8488, 519, 12614, 540, 3207, 543, 11145, 519, 2067, 3207, 2914, 820, 4783, 269, 12056, 609, 13819, 267, 971, 607, 16389, 267, 14342, 267, 5904, 267, 543, 7641, 338, 267, 1354, 21557, 666, 849, 12954, 519, 2634, 543, 1832, 596, 15508, 10332, 267, 1818, 621, 9875, 547, 7938, 785, 543, 6001, 269, 1635, 9319, 13819, 693, 2547, 606, 5662, 1354, 5127, 267, 596, 1450, 707, 1560, 547, 6923, 2842, 1524, 543, 5965, 585, 3207, 269, 901, 2259, 7028, 519, 1560, 779, 2067, 3207, 18819, 267, 10607, 3207, 2298, 267, 543, 10597, 707, 2949, 3207, 9882, 563, 275, 269, 8073, 513, 1290, 13025, 12619, 5113, 454, 17730, 513, 6899, 3207, 1604, 3322, 17306, 707, 23103, 547, 3895, 11005, 543, 1964, 995, 3207, 269, 10670, 676, 4180, 707, 20974, 816, 543, 10788, 3298, 616, 6899, 543, 11215, 269, 6513, 519, 4055, 779, 2837, 547, 1118, 621, 20009, 547, 3207, 267, 3335, 1063, 476, 2568, 268, 6858, 13790, 630, 1428, 268, 866, 9180, 1040, 17435, 519, 8279, 538, 519, 10543, 547, 5365, 547, 707, 1560, 602, 621, 779, 942, 547, 2842, 1524, 269, 2422, 3109, 719, 1225, 13935, 547, 3625, 856, 4430, 1769, 267, 543, 7413, 6846, 21463, 609, 1274, 680, 13903, 610, 3043, 6846, 6191, 269, 5901, 707, 23103, 804, 13616, 6954, 543, 6896, 547, 3895, 513, 2631, 540, 9350, 269, 1403, 596, 1265, 621, 5363, 267, 6451, 25695, 2609, 899, 22196, 15437, 267, 2571, 18282, 267, 610, 21363, 1085, 757, 998, 12906, 7752, 2805, 269, 1635, 14237, 513, 22471, 559, 543, 18136, 3207, 1604, 267, 596, 2461, 4259, 519, 3942, 585, 513, 12560, 3781, 779, 1964, 563, 276, 269, 23423, 595, 25377, 710, 543, 15850, 454, 2414, 3970, 14933, 543, 4568, 6981, 585, 1732, 3207, 267, 1376, 676, 1373, 13533, 540, 519, 12557, 540, 4616, 269, 21079, 610, 2057, 14933, 25202, 16098, 899, 6995, 267, 7401, 267, 543, 1648, 10425, 267, 2523, 538, 519, 12784, 543, 10543, 267, 607, 14933, 666, 3251, 538, 707, 1062, 585, 1896, 3108, 543, 15936, 609, 9991, 18069, 269, 8838, 585, 1232, 25377, 3990, 3681, 952, 596, 2461, 6159, 1324, 513, 3636, 4235, 538, 519, 10543, 269, 6684, 267, 1247, 4568, 1522, 723, 6822, 894, 2360, 7620, 267, 621, 7519, 338, 519, 3207, 4783, 2663, 538, 519, 3781, 267, 3056, 547, 27929, 3207, 543, 8519, 3207, 2298, 269, 1403, 596, 3442, 547, 4235, 267, 798, 865, 538, 20208, 543, 2057, 4568, 2673, 547, 21557, 269, 1635, 15645, 908, 14933, 543, 4568, 6981, 543, 4758, 707, 1560, 942, 547, 1184, 891, 6878, 1354, 3207, 267, 596, 666, 2087, 707, 8458, 540, 513, 1964, 995, 3781, 779, 3207, 563, 277, 269, 13773, 15765, 4438, 519, 4303, 454, 1805, 11691, 3742, 1282, 519, 1554, 568, 513, 2629, 2460, 540, 3207, 9882, 602, 8309, 547, 1732, 3207, 269, 8617, 2168, 2534, 2337, 10038, 519, 1560, 779, 27266, 11733, 267, 5009, 513, 811, 5812, 3207, 2914, 820, 4783, 269, 12056, 538, 9793, 20659, 5751, 899, 6972, 267, 28185, 3101, 267, 610, 10977, 666, 2087, 3207, 2298, 676, 4227, 519, 942, 621, 3217, 547, 2887, 18069, 543, 7393, 3207, 8653, 269, 1717, 267, 621, 779, 1898, 547, 942, 707, 3635, 14013, 267, 17935, 547, 2347, 2168, 2534, 693, 2547, 513, 1906, 3108, 1354, 21557, 269, 901, 2636, 707, 1560, 2837, 547, 6749, 543, 707, 1062, 547, 7938, 785, 267, 1818, 621, 4443, 547, 2887, 18069, 269, 1635, 6220, 2834, 2168, 2534, 883, 707, 6296, 267, 596, 711, 1152, 1489, 1732, 3207, 855, 849, 28231, 3875, 824, 2168, 543, 2790, 1072, 2640, 563, 278, 269, 28509, 13262, 454, 28036, 9882, 543, 5883, 2566, 979, 1688, 538, 1688, 950, 621, 2501, 547, 5009, 2635, 3207, 269, 13262, 543, 4160, 666, 3648, 1764, 3207, 2298, 543, 3565, 547, 20026, 269, 30459, 2566, 2359, 2553, 883, 707, 6296, 267, 971, 607, 11009, 267, 2620, 7244, 267, 9066, 267, 610, 11636, 4887, 11005, 267, 666, 948, 9350, 519, 2247, 543, 2569, 519, 1560, 779, 12214, 26901, 531, 1354, 21557, 269, 1635, 5883, 2566, 3927, 267, 596, 666, 1711, 513, 811, 17159, 2790, 1533, 602, 779, 20009, 547, 9991, 18069, 269, 3958, 267, 20170, 547, 3207, 9882, 2853, 267, 899, 4509, 513, 5812, 3207, 8430, 267, 2870, 513, 6899, 3207, 1604, 267, 543, 9319, 13819, 1354, 21557, 267, 1264, 906, 2566, 2359, 3646, 269, 901, 11455, 1935, 9607, 1312, 519, 5626, 543, 2168, 3344, 540, 3207, 267, 5807, 513, 9350, 2247, 543, 1560, 602, 616, 1732, 5423, 585, 1964, 995, 3207, 563, 279, 269, 23423, 715, 2355, 454, 3080, 2460, 540, 1434, 3207, 9882, 3322, 12145, 24817, 562, 2355, 269, 2755, 2110, 543, 17573, 562, 2355, 666, 2709, 513, 2656, 1648, 5818, 543, 3986, 10332, 1145, 267, 7928, 610, 17890, 562, 2355, 666, 15936, 609, 30148, 3207, 676, 27200, 519, 1560, 779, 2067, 3207, 2914, 820, 11733, 269, 7043, 518, 562, 2355, 949, 1291, 547, 9240, 1375, 1465, 267, 3207, 24880, 267, 543, 7411, 9991, 18069, 693, 3781, 269, 1677, 2327, 513, 811, 1964, 995, 543, 19597, 730, 30148, 3207, 267, 621, 779, 19624, 547, 3970, 562, 2355, 547, 1472, 476, 736, 268, 1789, 3764, 543, 2057, 562, 6260, 1932, 2673, 547, 21557, 269, 4698, 2358, 9793, 562, 6260, 6208, 267, 5916, 609, 824, 3207, 9882, 2994, 267, 8309, 547, 4509, 513, 7059, 3207, 8430, 543, 8236, 1732, 2949, 3207, 2298, 563, 280, 269, 1401, 2821, 23126, 547, 7849, 8752, 454, 20332, 1769, 4598, 2337, 10038, 707, 1560, 779, 4835, 9219, 267, 849, 1634, 607, 519, 27266, 11733, 267, 799, 1754, 985, 707, 3207, 2914, 820, 4783, 269, 22452, 547, 6505, 2067, 1769, 267, 2523, 538, 519, 6640, 267, 2337, 5365, 547, 707, 1560, 602, 621, 779, 24817, 267, 3056, 547, 2799, 10332, 1145, 543, 4824, 7099, 269, 901, 4598, 16401, 525, 5283, 28853, 2504, 1282, 519, 1554, 267, 1818, 596, 1745, 25805, 543, 10069, 1242, 267, 543, 1287, 2636, 5283, 28853, 2157, 547, 4473, 538, 519, 10543, 267, 5009, 519, 12614, 540, 3207, 693, 3781, 269, 1635, 6220, 2067, 1769, 883, 707, 3232, 6296, 267, 596, 666, 15222, 1125, 707, 1560, 779, 4835, 9219, 267, 3986, 3207, 2298, 267, 543, 3715, 513, 811, 5812, 3207, 2914, 820, 4806, 563, 1015, 269, 5901, 513, 12619, 4144, 776, 454, 30789, 513, 3207, 19701, 568, 606, 17170, 1907, 538, 713, 1184, 269, 1635, 10916, 3877, 827, 707, 3207, 3270, 267, 3232, 2238, 267, 543, 3207, 5829, 2188, 267, 596, 2744, 5813, 883, 707, 3207, 6208, 267, 7114, 1761, 3270, 610, 12153, 585, 3207, 7965, 269, 901, 1239, 666, 948, 596, 543, 707, 3782, 8502, 1174, 707, 3207, 3270, 1732, 543, 1118, 5483, 3664, 827, 11941, 547, 707, 3207, 6296, 610, 6208, 269, 589, 3207, 19701, 11226, 538, 22942, 532, 2127, 585, 6454, 267, 3850, 596, 547, 20688, 707, 3207, 9882, 2853, 585, 811, 2500, 2164, 267, 6038, 3056, 547, 4824, 3207, 2298, 543, 2949, 1134, 5630, 269, 0, 23338, 4871, 3059, 19728, 630, 290, 9720, 12336, 264, 723, 7153, 607, 513, 3905, 1888, 538, 519, 2883, 2872, 538, 2487, 1296, 269, 589, 14055, 290, 568, 513, 3059, 4528, 540, 513, 2197, 779, 535, 9332, 9304, 602, 568, 9783, 543, 20483, 676, 922, 3844, 4871, 269, 9521, 19116, 899, 11670, 267, 14055, 12336, 616, 21438, 543, 20483, 676, 519, 2229, 267, 799, 2306, 873, 1447, 19979, 543, 811, 6325, 269, 1452, 3059, 19728, 666, 581, 1031, 585, 1585, 5301, 267, 971, 607, 5009, 2883, 10014, 267, 4227, 11834, 3790, 267, 543, 7393, 519, 4398, 540, 519, 8569, 1062, 563, 763, 4417, 540, 14055, 12336, 666, 581, 11911, 547, 519, 3395, 3747, 585, 3059, 11033, 543, 519, 4473, 540, 9893, 2029, 269, 23204, 267, 519, 18228, 24432, 2029, 602, 7060, 19116, 267, 814, 519, 1761, 547, 22499, 519, 2883, 5251, 676, 3246, 513, 5150, 267, 12001, 267, 543, 1799, 17014, 1259, 540, 13936, 543, 22151, 1239, 269, 1635, 16107, 9893, 5121, 267, 3844, 8492, 666, 1711, 3059, 19728, 602, 616, 811, 5150, 267, 3608, 267, 543, 3015, 982, 2757, 535, 9332, 19728, 563, 3080, 540, 519, 1883, 2640, 540, 14055, 12336, 568, 741, 1761, 547, 3895, 2883, 10014, 269, 2060, 14055, 12336, 267, 1004, 945, 616, 796, 23810, 539, 610, 896, 23810, 539, 666, 723, 1569, 547, 513, 3059, 9304, 602, 568, 20483, 676, 519, 2229, 543, 666, 581, 1031, 585, 1585, 5301, 267, 971, 607, 9878, 12014, 267, 8391, 11033, 267, 543, 1818, 16306, 269, 14055, 12336, 666, 849, 2569, 11834, 3790, 543, 3986, 519, 4398, 540, 519, 8569, 1062, 676, 7175, 1483, 6066, 11175, 543, 4227, 10827, 2456, 563, 5194, 4324, 540, 14055, 12336, 568, 741, 1761, 547, 11574, 519, 4220, 2404, 609, 2757, 535, 9332, 19728, 269, 9521, 535, 9332, 19728, 267, 799, 666, 581, 1641, 547, 10637, 267, 1219, 3175, 267, 543, 824, 2804, 2188, 267, 14055, 12336, 616, 2966, 547, 581, 7123, 543, 5150, 269, 1635, 1210, 18228, 9893, 5121, 267, 3844, 8492, 666, 2327, 602, 14055, 12336, 616, 23984, 704, 31383, 543, 3112, 581, 4831, 10623, 1243, 610, 5918, 6088, 563, 290, 9720, 12336, 616, 1869, 538, 519, 2038, 5933, 540, 1646, 267, 543, 972, 616, 1082, 2591, 602, 991, 547, 581, 9619, 1354, 789, 666, 581, 4922, 7550, 269, 2290, 540, 519, 1292, 2591, 568, 4180, 602, 14055, 12336, 616, 954, 6016, 762, 609, 4540, 8569, 1949, 543, 666, 581, 1031, 2066, 1114, 5867, 543, 3457, 269, 6271, 4161, 568, 4180, 602, 14055, 12336, 616, 5360, 5050, 609, 4143, 6042, 543, 798, 711, 10460, 513, 3463, 547, 2883, 6617, 563, 8601, 891, 2591, 267, 14055, 12336, 723, 519, 1761, 547, 581, 513, 3014, 7302, 9734, 538, 519, 2883, 5251, 269, 1635, 16107, 9893, 2029, 267, 3844, 8492, 666, 1711, 3059, 19728, 602, 616, 811, 5150, 267, 3608, 267, 543, 3015, 982, 2757, 535, 9332, 19728, 269, 14055, 12336, 666, 3895, 2883, 10014, 267, 2569, 11834, 3790, 267, 543, 3986, 519, 4398, 540, 519, 8569, 1062 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 666, 1406, 581, 10710, 676, 1697, 3896, 6725, 5859, 269, 11109, 513, 1587, 547, 2253, 609, 568, 707, 15712, 786, 2333, 6455, 563, 16158, 6725, 568, 606, 2500, 1259, 547, 3895, 707, 1587, 610, 3028, 267, 607, 1134, 607, 707, 1870, 269, 1411, 4465, 1406, 581, 3811, 1210, 10500, 559, 5573, 6725, 1510, 519, 1318, 4282, 1702, 269, 5457, 891, 4388, 865, 596, 666, 1831, 3811, 609, 19534, 6725, 563, 12179, 821, 538, 513, 5718, 2990, 1058, 2141, 581, 3168, 547, 1451, 875, 547, 581, 513, 811, 2500, 6205, 269, 901, 2376, 568, 2469, 547, 4001, 596, 1018, 2115, 547, 581, 1634, 547, 581, 513, 1390, 6205, 865, 1866, 723, 2576, 547, 1246, 269, 4495, 596, 723, 8737, 2542, 713, 2376, 596, 1058, 1631, 581, 5423, 547, 2285, 621, 707, 782, 593, 1169, 8317, 563, 15973, 6510, 519, 5075, 540, 707, 2319, 269, 2422, 707, 5692, 547, 3391, 519, 6109, 543, 6451, 513, 2631, 540, 2418, 883, 782, 596, 798, 269, 898, 568, 2565, 602, 596, 1397, 2319, 2818, 875, 789, 1404, 513, 1909, 538, 519, 3677, 4605, 540, 519, 2754, 779, 25029, 269, 901, 13071, 596, 1628, 513, 6793, 6125, 609, 519, 2319, 563, 28403, 1944, 15421, 538, 1866, 568, 513, 1129, 540, 513, 1434, 6205, 269, 1879, 596, 1413, 585, 6351, 267, 621, 2115, 547, 581, 2653, 585, 596, 547, 4584, 945, 1131, 4324, 596, 1034, 269, 901, 666, 581, 1031, 950, 596, 2461, 24931, 610, 17849, 1004, 563, 16605, 1919, 607, 2241, 607, 596, 666, 269, 10312, 593, 519, 1271, 1919, 1101, 269, 2991, 596, 723, 12913, 602, 267, 1287, 596, 666, 2253, 4259, 14422, 269, 22217, 1518, 3388, 607, 2484, 607, 2009, 269, 1656, 1305, 11735, 1483, 3860, 3206, 4090, 585, 596, 543, 596, 2319, 563, 288, 1434, 1259, 547, 1732, 707, 5718, 1983, 568, 547, 581, 8746, 538, 707, 3375, 6194, 269, 5221, 596, 616, 519, 11280, 6205, 267, 20743, 540, 3664, 786, 581, 909, 547, 596, 269, 1403, 596, 616, 835, 540, 513, 2319, 602, 568, 5258, 827, 875, 547, 4194, 2042, 267, 621, 568, 1271, 547, 3442, 3435, 602, 786, 4324, 519, 2898, 2319, 3079, 540, 1152, 513, 1906, 1004, 563, 3519, 2265, 532, 3054, 538, 606, 5683, 6073, 568, 2565, 267, 7488, 540, 7247, 596, 616, 7231, 609, 269, 2353, 4213, 1590, 15666, 547, 741, 5683, 4978, 269, 1879, 519, 5561, 616, 3222, 602, 596, 1416, 827, 741, 1719, 267, 789, 3251, 609, 707, 2754, 269, 5590, 606, 1383, 602, 707, 5520, 786, 1246, 676, 1373, 5683, 563, 2710, 1018, 596, 666, 865, 596, 2461, 2653, 547, 1935, 269, 2368, 1004, 1589, 602, 513, 1434, 5718, 2511, 1058, 4125, 4250, 543, 12932, 9179, 269, 901, 568, 711, 1434, 693, 782, 267, 543, 596, 786, 723, 513, 2182, 942, 15980, 519, 2463, 596, 17330, 269, 2913, 707, 5520, 917, 596, 616, 972, 547, 1683, 4376, 789, 991, 1317, 707, 2816, 568, 1818, 2386, 789, 616, 3811, 563, 288, 1434, 6205, 568, 2576, 945, 14659, 827, 519, 2104, 269, 1411, 1058, 581, 2111, 547, 18783, 1919, 1354, 789, 2049, 267, 865, 596, 666, 6023, 4376, 602, 4991, 16207, 707, 1259, 269, 1411, 2461, 711, 2618, 545, 267, 855, 596, 666, 581, 16022, 269, 19244, 547, 3054, 1018, 1808, 3853, 596, 723, 538, 2247, 585, 519, 14232, 1032, 267, 1287, 723, 513, 1544, 547, 9585, 873, 563, 13729, 930, 1164, 3853, 585, 1866, 547, 3914, 267, 855, 581, 2386, 789, 2461, 711, 7543, 269, 5213, 1406, 1305, 707, 2319, 2818, 909, 547, 3111, 269, 2334, 779, 513, 1434, 1259, 547, 1397, 602, 596, 5749, 1406, 519, 1434, 6205, 596, 2219, 596, 941, 563, 13914, 4763, 950, 17849, 707, 2319, 269, 589, 2647, 2039, 540, 5380, 666, 581, 2016, 950, 972, 568, 4763, 540, 2528, 267, 2085, 543, 2069, 269, 5213, 1406, 723, 513, 13781, 1500, 909, 540, 1866, 899, 596, 269, 898, 7182, 5876, 269, 898, 1223, 849, 4396, 1518, 707, 1378, 12755, 2429, 519, 3003, 2754, 563, 29490, 2119, 547, 6432, 811, 982, 2911, 269, 6153, 3401, 917, 602, 6947, 547, 741, 5520, 543, 547, 1346, 1472, 873, 568, 3857, 958, 1271, 269, 19415, 547, 782, 540, 707, 5520, 269, 901, 1797, 547, 6432, 547, 519, 1434, 9299, 2478, 543, 519, 1989, 3518, 956, 269, 19415, 547, 1018, 5520, 2161, 950, 621, 2501, 547, 519, 2472, 543, 18046, 269, 1411, 1522, 581, 513, 2370, 14281, 693, 519, 2179, 596, 786, 1451, 689, 1346, 945, 960, 585, 596, 563, 2691, 596, 2461, 513, 1434, 6205, 267, 596, 1058, 3533, 1294, 519, 13007, 1761, 538, 824, 1004, 269, 1411, 1058, 2141, 3295, 707, 2383, 609, 16805, 1004, 945, 666, 948, 596, 2743, 707, 6859, 269, 901, 666, 581, 1360, 6225, 547, 1919, 4881, 593, 782, 26561, 563, 1103, 1931, 547, 581, 606, 2500, 6205, 267, 596, 991, 547, 917, 4010, 1018, 596, 9342, 543, 12755, 616, 269, 1403, 596, 2461, 15483, 344, 267, 596, 2461, 3808, 547, 3111, 269, 5502, 596, 1058, 2119, 547, 7794, 2127, 602, 596, 1174, 616, 12755, 563, 6826, 2386, 707, 1603, 1983, 616, 2500, 269, 9861, 513, 6205, 3322, 811, 982, 707, 5075, 543, 519, 1259, 596, 3180, 3054, 269, 898, 779, 849, 827, 519, 6881, 540, 707, 1913, 269, 1403, 707, 1603, 568, 1793, 641, 6853, 543, 4904, 609, 4413, 335, 32478, 543, 3983, 8239, 267, 621, 4465, 1406, 581, 2653, 585, 707, 4891, 610, 5520, 547, 1589, 540, 596, 12517, 269, 5901, 713, 538, 2247, 1022, 942, 602, 596, 991, 547, 2328, 1945, 563, 22117, 619, 1590, 917, 519, 3017, 1063, 1018, 789, 616, 2324, 593, 543, 1018, 779, 538, 741, 2247, 269, 1703, 568, 513, 18807, 2078, 1063, 1312, 540, 873, 269, 1403, 972, 616, 1919, 20604, 593, 707, 2247, 267, 596, 991, 606, 17752, 585, 873, 269, 3503, 621, 593, 930, 1957, 543, 1205, 2250, 621, 563, 2691, 596, 2461, 2324, 593, 3056, 3927, 267, 596, 723, 547, 1832, 707, 26069, 538, 2247, 269, 2142, 2386, 547, 786, 581, 6899, 609, 519, 3664, 596, 1118, 269, 1403, 596, 723, 606, 13504, 1782, 602, 596, 786, 711, 581, 6126, 609, 519, 3375, 596, 616, 827, 547, 1118, 267, 3247, 972, 269, 4634, 1498, 930, 1004, 1522, 711, 723, 2147, 5837, 4978, 607, 596, 267, 596, 1590, 798, 1018, 568, 1318, 538, 707, 2295, 563, 2691, 606, 9441, 2306, 513, 12161, 267, 513, 1434, 6205, 786, 948, 873, 1451, 689, 621, 269, 32695, 827, 1018, 5949, 543, 4687, 5363, 1344, 609, 3025, 666, 2490, 883, 513, 1390, 2911, 593, 4466, 3435, 610, 7303, 2042, 538, 519, 2104, 563, 288, 1434, 6205, 3884, 1406, 513, 1268, 602, 568, 4805, 269, 898, 3217, 513, 3099, 540, 1004, 585, 513, 2319, 547, 581, 3811, 269, 2659, 2816, 607, 513, 6205, 568, 547, 3142, 713, 1895, 1927, 543, 8300, 873, 547, 798, 741, 1655, 960, 269, 3973, 596, 267, 519, 6205, 267, 786, 581, 1863, 547, 798, 519, 2816, 596, 798, 1655, 6122, 611, 563, 2791, 991, 547, 581, 2386, 602, 596, 2628, 3007, 547, 519, 1390, 5718, 7907, 540, 824, 1004, 269, 24285, 666, 3565, 865, 1454, 547, 2486, 269, 5901, 538, 2247, 1018, 596, 723, 4121, 543, 581, 519, 1655, 6205, 596, 666, 581, 563, 22142, 798, 4376, 602, 1223, 581, 2808, 30907, 267, 10363, 610, 896, 8518, 539, 269, 898, 568, 1271, 547, 723, 7881, 950, 596, 616, 513, 6205, 269, 1879, 1004, 917, 602, 596, 2461, 2324, 609, 741, 4690, 538, 2247, 267, 789, 786, 1376, 547, 2070, 707, 2754, 538, 513, 811, 2318, 1769, 269, 1879, 596, 2285, 707, 5520, 5837, 9021, 543, 6788, 267, 596, 948, 1118, 2386, 602, 789, 1246, 1346, 3652, 563, 1432, 4162, 1118, 513, 6205, 286, 3657, 596, 3222, 540, 519, 7907, 543, 1983, 2877, 547, 1291, 1866, 547, 1967, 286, 589, 6205, 568, 2141, 8348, 547, 6432, 547, 10372, 543, 568, 18803, 269, 901, 2376, 568, 2469, 547, 4001, 596, 930, 1919, 596, 949, 991, 547, 917, 865, 596, 666, 1291, 811, 3927, 563, 30789, 1919, 2241, 1058, 581, 707, 3804, 1247, 3056, 1866, 269, 10312, 593, 519, 1919, 602, 616, 1271, 269, 2991, 891, 1919, 616, 2944, 267, 1287, 596, 3580, 581, 2111, 547, 1305, 909, 811, 14422, 269, 22217, 1518, 3388, 607, 2484, 607, 2009, 269, 4746, 596, 723, 547, 1450, 585, 942, 547, 1589, 585, 1866, 607, 1134, 607, 596, 563, 22117, 619, 1058, 581, 5059, 593, 1018, 519, 2104, 6770, 269, 1411, 1590, 1413, 547, 519, 2104, 267, 1413, 6619, 267, 543, 1118, 4566, 585, 602, 269, 1411, 666, 1406, 917, 1018, 4523, 782, 519, 942, 267, 855, 596, 1590, 5555, 24917, 713, 5578, 269, 5901, 6998, 3054, 1141, 596, 3580, 581, 3670, 3275, 689, 1631, 267, 610, 1256, 513, 1032, 267, 1287, 596, 666, 1544, 585, 621, 563, 6826, 9237, 950, 7231, 609, 5520, 267, 5561, 543, 7218, 1107, 713, 568, 5393, 1271, 269, 4518, 1169, 1554, 547, 1628, 3972, 609, 707, 5520, 269, 3143, 2339, 1018, 596, 798, 267, 1118, 621, 513, 3804, 547, 581, 9237, 543, 22973, 269, 1403, 789, 1745, 789, 666, 3972, 596, 267, 789, 786, 2744, 2463, 585, 596, 607, 1134, 563, 307, 523, 13369, 568, 4105, 547, 2500, 5718, 269, 1879, 1919, 979, 4636, 267, 707, 2319, 786, 1413, 547, 596, 593, 875, 789, 1058, 2746, 269, 1411, 1058, 1445, 593, 513, 2318, 6364, 2864, 982, 1022, 9465, 602, 949, 581, 538, 519, 1259, 269, 2659, 18094, 607, 513, 6205, 786, 948, 8300, 707, 2319, 547, 1832, 3001, 563, 2252, 596, 1616, 547, 960, 593, 5355, 707, 5718, 1983, 267, 798, 711, 957, 899, 513, 917, 32717, 22433, 269, 2755, 596, 949, 5963, 581, 513, 1390, 6205, 267, 596, 666, 2141, 1451, 689, 707, 9905, 269, 1452, 1004, 666, 1448, 856, 513, 1114, 1259, 267, 610, 1397, 596, 1808, 2042, 602, 596, 1522, 723, 15763, 563, 13014, 3853, 585, 707, 1870, 269, 15526, 21593, 20678, 585, 1919, 267, 543, 3401, 2119, 17568, 21496, 3853, 585, 741, 2319, 269, 1684, 711, 1175, 1305, 873, 543, 7340, 827, 621, 269, 5620, 10865, 11401, 547, 1294, 1018, 519, 4567, 568, 593, 707, 3853, 267, 543, 3180, 707, 5520, 18177, 585, 3478, 1919, 12913, 563, 13014, 2386, 547, 1397, 7071, 585, 1346, 1472, 596, 269, 898, 1175, 3217, 513, 2656, 4090, 547, 795, 582, 513, 5618, 9684, 3917, 537, 610, 7249, 7806, 17419, 4063, 267, 543, 602, 2792, 1419, 1797, 519, 1158, 547, 1004, 945, 616, 2324, 2182, 269, 1411, 666, 2333, 2754, 14017, 585, 1863, 609, 1175, 513, 1906, 1913, 563, 7312, 3664, 616, 2629, 269, 4256, 8369, 540, 596, 568, 4299, 676, 945, 4991, 8655, 4105, 3785, 267, 543, 676, 945, 596, 3595, 267, 16926, 543, 3895, 269, 8058, 532, 1256, 13581, 3870, 22451, 2864, 982, 1210, 20519, 547, 3313, 12587, 786, 24183, 707, 5718, 3646, 563, 299, 633, 909, 547, 707, 6811, 269, 1411, 723, 547, 581, 18177, 585, 1018, 596, 2161, 543, 798, 269, 769, 707, 2754, 3388, 5956, 609, 596, 267, 543, 1018, 596, 798, 543, 2161, 568, 875, 707, 1870, 568, 9228, 269, 9701, 596, 1265, 3054, 2348, 9275, 856, 540, 2490, 610, 9117, 11874, 267, 596, 1590, 1305, 1919, 1318, 269, 5213, 1406, 2503, 621, 547, 581, 15763, 610, 1450, 1866, 547, 798, 621, 585, 596, 563, 288, 5963, 4101, 543, 2500, 5718, 5578, 538, 519, 1870, 1158, 568, 6947, 547, 1018, 707, 1016, 24002, 723, 547, 2161, 269, 769, 1082, 2665, 267, 707, 4600, 786, 723, 1390, 23937, 610, 2242, 547, 606, 2856, 602, 596, 949, 723, 269, 4495, 596, 616, 2386, 789, 723, 4862, 596, 267, 6432, 585, 741, 30172, 269, 901, 949, 948, 596, 3914, 707, 9909, 540, 1967, 563, 2521, 707, 1655, 547, 581, 606, 3839, 6205, 269, 1703, 616, 513, 1390, 1297, 540, 1004, 945, 8263, 602, 15194, 609, 606, 4401, 31329, 543, 12932, 9179, 616, 519, 1318, 1259, 547, 1397, 5718, 269, 1717, 267, 713, 568, 711, 513, 1434, 1935, 547, 1491, 543, 786, 6336, 707, 2463, 269, 2142, 2186, 267, 12391, 543, 17519, 3079, 563, 288, 1434, 6205, 1058, 581, 2111, 547, 2328, 3927, 269, 31327, 3884, 1406, 1152, 827, 9306, 3054, 269, 898, 779, 849, 827, 519, 6881, 540, 707, 1913, 269, 10435, 3875, 10259, 543, 21342, 6959, 786, 2539, 707, 32283, 619, 6644, 540, 596, 543, 1291, 873, 547, 2243, 707, 5759, 269, 5901, 713, 538, 2247, 1022, 942, 602, 596, 991, 547, 2328, 1945, 563, 13480, 2182, 547, 1711, 10121, 543, 11327, 6887, 269, 2913, 707 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 5149, 476, 277, 281, 5398, 2657, 4521, 1107, 20710, 3101, 519, 29361, 9737, 8889, 543, 6657, 692, 7072, 912, 1103, 2221, 781, 1950, 2486, 267, 1857, 1072, 2152, 616, 693, 519, 21282, 540, 1082, 9840, 269, 3245, 11763, 3676, 547, 2825, 10898, 267, 5466, 891, 4145, 3340, 513, 3818, 1922, 14239, 1935, 602, 2882, 9086, 543, 3609, 1646, 269, 901, 6770, 721, 547, 519, 1353, 540, 1857, 1072, 1876, 910, 513, 2565, 1858, 1141, 3656, 3741, 12969, 609, 3782, 2259, 543, 2551, 8171, 269, 1635, 3695, 713, 2361, 267, 596, 786, 1732, 1174, 875, 4031, 3337, 938, 3210, 547, 1585, 1857, 1072, 2591, 1247, 849, 9301, 741, 7687, 780, 4089, 476, 272, 281, 4197, 5398, 2657, 4521, 692, 14276, 1072, 1876, 4016, 547, 519, 3656, 7060, 543, 11645, 11292, 547, 2229, 9988, 547, 2327, 7104, 3106, 543, 2087, 2146, 1072, 4093, 269, 898, 13333, 1369, 1079, 3119, 10850, 281, 630, 272, 264, 7128, 1379, 267, 799, 2278, 3278, 1533, 6304, 547, 2149, 4961, 689, 2800, 282, 543, 630, 273, 264, 519, 7915, 1318, 547, 1582, 24148, 267, 8497, 1367, 23118, 269, 21344, 891, 12721, 4690, 3029, 519, 5748, 540, 2500, 1857, 1072, 4507, 780, 7659, 16610, 1384, 265, 17318, 5295, 5288, 269, 10572, 7126, 454, 265, 13751, 8191, 885, 1299, 667, 583, 625, 540, 6554, 9980, 885, 454, 265, 10020, 540, 30271, 538, 3955, 31147, 5398, 2657, 6465, 2373, 692, 18600, 8996, 13335, 281, 6333, 5046, 268, 866, 31433, 8045, 676, 1114, 2829, 1282, 519, 6855, 269, 1452, 3800, 6322, 547, 16102, 2950, 855, 1419, 5185, 4187, 1813, 547, 9228, 26418, 906, 593, 2123, 22624, 269, 22718, 971, 2665, 998, 519, 7828, 540, 1857, 1072, 1876, 2636, 721, 547, 2708, 2436, 9993, 941, 20582, 543, 952, 789, 740, 22363, 547, 3964, 3656, 9551, 757, 780, 4089, 476, 273, 281, 6206, 19791, 540, 5398, 2657, 4521, 692, 15703, 1883, 2127, 17663, 1857, 1072, 1876, 267, 1519, 1384, 320, 264, 29956, 8376, 6513, 281, 22769, 4478, 10072, 267, 31741, 267, 3346, 16439, 267, 543, 25750, 4196, 607, 1898, 2645, 585, 5883, 3868, 762, 3676, 269, 1717, 267, 11495, 513, 3666, 1063, 7863, 1857, 10304, 543, 18245, 1367, 2924, 3788, 4101, 780, 321, 264, 7025, 10466, 281, 18489, 3175, 13389, 2011, 543, 1216, 2298, 267, 1426, 3106, 267, 6757, 6878, 267, 543, 3653, 12871, 6663, 547, 7413, 4598, 547, 5739, 8069, 269, 8693, 1689, 814, 3773, 23473, 547, 713, 6389, 267, 20872, 1007, 6042, 543, 3486, 11650, 780, 322, 264, 27706, 8881, 1299, 2657, 281, 31071, 2175, 3648, 1764, 9441, 1072, 269, 13013, 11190, 6042, 2232, 1761, 4220, 267, 4180, 2922, 5054, 585, 4600, 2066, 6080, 780, 323, 264, 7457, 547, 16195, 7896, 281, 23496, 12581, 1569, 547, 2564, 1416, 3322, 28530, 7130, 267, 9750, 6142, 3795, 267, 543, 5009, 23833, 2533, 269, 10765, 3646, 723, 5059, 593, 2790, 1072, 26027, 543, 5466, 1514, 21876, 540, 1072, 780, 324, 264, 3194, 15979, 281, 5274, 5396, 4027, 267, 1239, 7834, 267, 543, 1979, 846, 2579, 4808, 1827, 3621, 1382, 5473, 3425, 269, 1520, 11447, 547, 5683, 4441, 8992, 3972, 538, 1312, 519, 3621, 1184, 543, 922, 3156, 780, 325, 264, 6820, 2657, 26291, 281, 4139, 9316, 4249, 513, 4105, 1909, 538, 21365, 2518, 1072, 6937, 899, 5774, 12515, 267, 21734, 4187, 267, 543, 6932, 11763, 3676, 269, 15521, 13800, 267, 1617, 10561, 3906, 267, 543, 23372, 7520, 20291, 6114, 1851, 6082, 780, 7659, 16610, 1384, 265, 29956, 8376, 6513, 21474, 454, 265, 7025, 10466, 22769, 454, 265, 27706, 8881, 1299, 2657, 11621, 454, 265, 7457, 547, 16195, 7896, 24727, 454, 265, 3194, 15979, 13832, 454, 265, 6820, 2657, 24547, 558, 2329, 692, 14483, 12367, 281, 2060, 2810, 6284, 540, 1072, 13103, 267, 972, 568, 3395, 8561, 593, 6220, 1514, 5126, 5380, 883, 1857, 1072, 1876, 269, 27557, 1445, 593, 24905, 1782, 7293, 7496, 602, 28511, 31716, 543, 5807, 8537, 3375, 6194, 3157, 269, 5015, 267, 8441, 538, 2029, 723, 838, 13899, 5717, 1472, 3059, 1072, 7881, 267, 9870, 2055, 827, 9562, 267, 1852, 267, 543, 946, 540, 2123, 1072, 1344, 780, 4089, 476, 274, 281, 12694, 543, 7799, 14591, 540, 5398, 2657, 4521, 692, 8601, 922, 2956, 267, 1857, 1072, 1876, 8188, 1896, 2591, 543, 7687, 267, 1519, 1384, 265, 17290, 8249, 281, 6184, 11211, 7616, 554, 2086, 619, 11268, 7207, 543, 14944, 1149, 7145, 563, 265, 808, 9766, 323, 12302, 2598, 1584, 525, 281, 3683, 331, 6260, 9021, 1063, 5313, 267, 1533, 267, 543, 2199, 8128, 666, 1291, 547, 10539, 543, 22522, 3498, 540, 3652, 563, 265, 11572, 21478, 281, 5082, 539, 8387, 949, 13861, 1857, 1072, 16839, 585, 2797, 2744, 267, 18731, 2963, 2861, 13422, 1136, 563, 265, 13751, 2776, 1027, 757, 281, 12878, 2082, 3656, 29625, 3006, 15641, 324, 5499, 4485, 610, 11904, 4540, 29071, 28572, 563, 265, 11660, 29203, 281, 21826, 569, 9687, 1702, 3490, 635, 27289, 15424, 2962, 267, 26089, 5571, 2689, 543, 9542, 780, 7659, 16610, 1384, 265, 12754, 2480, 19062, 454, 265, 808, 9766, 323, 12302, 4762, 26555, 454, 265, 7971, 545, 1436, 540, 5398, 2657, 12983, 454, 265, 13751, 31875, 454, 265, 11660, 4273, 1833, 692, 6962, 912, 2026, 7152, 676, 519, 1349, 3177, 4505, 267, 25036, 4749, 14340, 950, 13882, 4125, 1857, 5238, 543, 741, 10279, 547, 27481, 519, 1876, 269, 19361, 640, 609, 1857, 1072, 1876, 6087, 9439, 267, 15156, 267, 543, 5640, 7567, 547, 6330, 891, 6946, 8916, 811, 3927, 269, 3414, 11826, 6514, 540, 4295, 2035, 267, 4207, 7835, 267, 543, 10770, 2591, 267, 713, 1770, 5713, 607, 513, 19480, 6149, 2509, 4514, 6278, 609, 1857, 1072, 1876, 543, 922, 11358, 1909, 538, 5935, 6848, 8171, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 9596, 6168, 519, 4521, 454, 7476, 948, 609, 707, 3656, 2115, 454, 4456, 2207, 32177, 6167, 3951, 2464, 11123, 918, 10680, 282, 5398, 31740, 585, 7025, 26930, 267, 1773, 5593, 14554, 5025, 653, 749, 1218, 267, 642, 269, 31506, 16129, 21614, 4785, 10345, 288, 308, 267, 769, 4173, 24722, 27519, 1306, 3213, 268, 11328, 574, 8111, 23734, 550, 2986, 634, 13244, 3933, 3821, 5689, 756, 340, 1133, 1881, 3427, 10588, 282, 18332, 3751, 267, 769, 3571, 24722, 27519, 1306, 3213, 268, 11328, 574, 8111, 23734, 550, 2986, 634, 13244, 3933, 3821, 5689, 756, 340, 1133, 1881, 3427, 10588, 282, 3967, 631, 2801, 345, 267, 769, 4173, 24722, 27519, 1306, 21133, 8111, 23734, 550, 1656, 12751, 11038, 20229, 2986, 634, 13244, 3933, 3821, 5689, 756, 340, 1133, 1881, 3427, 10588, 282, 700, 4768, 773, 17389, 828, 2006, 282, 8277, 18521, 541, 576, 282, 30621, 23340, 282, 12756, 15182, 13305, 1794, 4302, 345, 282, 9400, 570, 1695, 341, 843, 15546, 11219, 612, 933, 514, 282, 30546, 632, 3288, 8776, 516, 282, 25453, 2725, 577, 584, 267, 769, 4256, 24722, 7167, 659, 885, 1306, 16840, 2986, 634, 13244, 3933, 3821, 5689, 756, 340, 1133, 1881, 3427, 10588, 8274, 2986, 4065, 267, 4347, 754, 1218, 5025, 653, 16279, 525, 563, 25567, 320, 1133, 2572, 585, 8866, 282, 5398, 31740, 585, 7025, 26930, 267, 1773, 5593, 14554, 5025, 653, 749, 1218, 267, 642, 269, 5484, 3220, 10620, 267, 8111, 23734, 550, 2986, 634, 13244, 3933, 3821, 5689, 756, 340, 1133, 1881, 3427, 10588, 282, 9253, 1328, 2052, 8014, 267, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 14276, 2657, 4521, 257, 607, 851, 540, 834, 30311, 1315, 5398, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 1262, 30787, 5455, 513, 11261, 3683, 7956, 281, 589, 18043, 6651, 4373, 6701, 596, 4712, 547, 1491, 707, 1514, 1983, 547, 519, 1985, 1377, 286, 1684, 596, 1616, 547, 1451, 875, 547, 1305, 909, 513, 4266, 609, 2576, 2027, 1210, 1152, 1257, 6835, 286, 6733, 1100, 2417, 256, 901, 2376, 786, 3802, 596, 998, 1169, 2582, 1900, 267, 7713, 1142, 2962, 538, 2300, 745, 857, 908, 1469, 267, 865, 602, 1256, 952, 596, 723, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 267, 596, 3513, 581, 2111, 547, 1246, 2059, 780, 1262, 3721, 476, 272, 281, 670, 13783, 2659, 25439, 22043, 569, 4373, 6524, 649, 2253, 267, 1118, 2386, 596, 2811, 8066, 707, 6049, 7157, 269, 1677, 798, 713, 1384, 265, 4855, 707, 6049, 267, 799, 568, 2356, 513, 1507, 267, 14328, 3926, 1500, 540, 4496, 267, 5068, 267, 610, 4837, 563, 265, 15579, 519, 6049, 538, 835, 1688, 267, 1818, 2386, 707, 11263, 616, 1225, 1194, 1472, 621, 18172, 563, 265, 9255, 707, 14853, 593, 519, 5496, 2427, 540, 519, 6049, 267, 3850, 596, 547, 1826, 3362, 563, 265, 5269, 2386, 707, 824, 1688, 568, 1863, 547, 1685, 17267, 899, 29957, 610, 26378, 780, 1262, 3721, 476, 273, 281, 14956, 2287, 519, 11619, 1645, 2561, 4373, 3086, 267, 1930, 519, 20261, 813, 593, 707, 6049, 269, 901, 568, 1141, 596, 3513, 6494, 5931, 547, 5968, 609, 1866, 780, 265, 700, 11229, 519, 12835, 8204, 519, 20261, 813, 593, 707, 6049, 781, 1753, 5496, 269, 898, 1522, 1413, 899, 513, 4633, 19389, 267, 513, 10004, 4216, 267, 610, 1945, 2147, 563, 265, 24135, 519, 12835, 9900, 855, 16119, 609, 707, 9416, 630, 8161, 610, 1647, 9416, 960, 1655, 1916, 265, 634, 20261, 813, 1058, 1631, 2408, 593, 707, 5496, 780, 1262, 3721, 476, 274, 281, 29922, 519, 12287, 1411, 21763, 547, 9105, 4934, 4373, 16521, 519, 1268, 596, 9364, 899, 547, 2307, 856, 689, 707, 17066, 1592, 780, 265, 2480, 2651, 998, 707, 3346, 1592, 676, 23510, 707, 9416, 20733, 610, 1524, 2072, 593, 519, 5496, 563, 265, 1879, 596, 1265, 519, 2012, 543, 1297, 540, 519, 1268, 596, 2811, 5461, 538, 6998, 856, 267, 7148, 741, 7127, 2899, 547, 2824, 873, 563, 265, 4256, 6643, 8142, 1058, 1631, 2408, 593, 519, 5496, 780, 1262, 3721, 476, 275, 281, 11978, 532, 513, 24606, 4373, 2005, 781, 942, 547, 4739, 513, 5048, 18136, 519, 1268, 593, 513, 4266, 2439, 265, 6056, 827, 1018, 596, 1616, 547, 2161, 269, 5901, 621, 2241, 282, 1175, 15974, 606, 2534, 610, 5870, 5544, 563, 265, 2422, 707, 555, 29304, 547, 1826, 856, 519, 5048, 593, 519, 13691, 10268, 593, 519, 5496, 563, 265, 3399, 609, 513, 28551, 267, 971, 607, 834, 20756, 1496, 11243, 316, 257, 610, 834, 17098, 30882, 265, 3973, 267, 2303, 513, 1808, 2534, 610, 4087, 267, 552, 3052, 1421, 834, 23763, 547, 10544, 6995, 693, 15608, 781, 595, 12522, 8119, 610, 834, 25898, 2648, 547, 979, 1294, 513, 7260, 1927, 24350, 265, 7736, 519, 5048, 609, 513, 7874, 14656, 267, 899, 834, 4131, 803, 917, 10590, 610, 834, 281, 264, 5016, 7078, 912, 257, 20756, 8861, 256, 21763, 547, 2119, 856, 602, 1007, 7969, 1747, 25708, 713, 15964, 12482, 1262, 3721, 476, 276, 281, 590, 2056, 519, 24606, 4373, 5629, 596, 4312, 29921, 856, 707, 27592, 267, 621, 781, 942, 547, 6494, 621, 1055, 883, 2166, 1499, 10628, 2439, 265, 5623, 707, 5048, 5402, 547, 2327, 972, 616, 1100, 1462, 657, 610, 6959, 563, 265, 1403, 3388, 5654, 1434, 267, 12398, 519, 834, 306, 754, 257, 7735, 267, 1419, 6719, 676, 606, 15561, 610, 513, 4544, 5858, 609, 513, 3043, 2638, 5658, 3330, 563, 265, 28528, 2046, 519, 27189, 7735, 609, 707, 9416, 563, 265, 27016, 3461, 569, 585, 519, 18579, 547, 4431, 780, 1262, 3721, 476, 277, 281, 20613, 1746, 585, 513, 15863, 4373, 763, 7996, 3014, 5956, 2439, 265, 10925, 1524, 707, 6049, 543, 4497, 538, 1776, 2534, 1247, 596, 7227, 585, 513, 3210, 269, 7335, 513, 1433, 267, 2921, 513, 2110, 588, 2651, 267, 610, 3257, 930, 1769, 15198, 5751, 616, 1390, 3681, 563, 265, 5272, 1906, 3764, 267, 16145, 693, 707, 6049, 547, 1294, 952, 519, 1268, 814, 15527, 563, 265, 2142, 3461, 1107, 789, 949, 711, 2626, 5612, 1813, 547, 1585, 4128, 899, 1373, 11112, 267, 2348, 4057, 21200, 267, 610, 3274, 17596, 811, 942, 547, 1589, 780, 1262, 3721, 476, 278, 281, 29594, 532, 547, 4256, 31400, 4373, 2691 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2791, 2490, 593, 519, 2780, 543, 1826, 856, 519, 1739, 269, 2991, 1373, 3144, 1524, 7466, 676, 18248, 3455, 1369, 513, 2582, 3018, 267, 649, 3893, 519, 5048, 281, 898, 779, 5384, 1677, 3619, 269, 27176, 540, 21499, 814, 6410, 547, 513, 1007, 2232, 563, 2237, 3733, 4828, 4340, 547, 3733, 21976, 3503, 3733, 4828, 6732, 568, 513, 3028, 1141, 596, 666, 1205, 1557, 948, 2228, 1100, 2339, 875, 9157, 707, 1957, 568, 269, 2353, 596, 786, 581, 4280, 547, 798, 568, 547, 2328, 707, 4170, 543, 3877, 540, 707, 1957, 269, 1284, 786, 1491, 1416, 827, 707, 9344, 543, 4081, 1967, 269, 14424, 1299, 25037, 281, 2871, 903, 5288, 269, 21989, 4828, 9293, 1923, 476, 275, 9664, 14424, 1299, 25037, 281, 2871, 903, 5288, 269, 21989, 630, 320, 21993, 18502, 634, 31597, 13834, 2782, 264, 3414, 519, 3460, 540, 1164, 1153, 267, 621, 568, 1360, 1419, 1455, 585, 835, 547, 10536, 1079, 1114, 2010, 540, 17052, 267, 610, 538, 824, 1913, 267, 513, 18560, 3659, 543, 513, 8004, 3659, 269, 3932, 585, 5635, 543, 4334, 1557, 282, 700, 8104, 2562, 9402, 2165, 1957, 269, 602, 1131, 1832, 1557, 3070, 3584, 519, 3688, 1524, 547, 721, 282, 1869, 649, 616, 711, 2965, 3479, 1082, 540, 873, 29070, 269, 2334, 568, 1175, 2666, 585, 519, 1034, 9976, 960, 676, 1004, 609, 4617, 4064, 269, 3571, 4775, 9843, 941, 11419, 995, 543, 2648, 2914, 20564, 7247, 621, 5293, 2476, 269, 1809, 945, 269, 0, 22826, 1603, 538, 1296, 9752, 1603, 538, 1296, 1452, 2200, 723, 1044, 2813, 547, 1683, 3450, 2994, 267, 1806, 267, 543, 1344, 547, 1397, 596, 811, 827, 519, 2500, 3450, 540, 1603, 269, 634, 1614, 2200, 2630, 1142, 2099, 519, 1880, 1565, 543, 6437, 2115, 540, 519, 1053, 538, 1142, 540, 519, 1032, 1895, 902, 269, 2422, 891, 2200, 585, 1808, 4058, 543, 3450, 535, 1539, 610, 16702, 883, 873, 585, 1367, 610, 1895, 3318, 1565, 2115, 269, 9752, 1603, 538, 1296, 8490, 513, 2178, 5748, 901, 4199, 2488, 4052, 10372, 543, 2994, 585, 4180, 1053, 1205, 1055, 547, 513, 1434, 1376, 538, 519, 1101, 1614, 1296, 267, 3226, 538, 1603, 267, 2679, 513, 2178, 5748, 267, 543, 4180, 1053, 1118, 4397, 3356, 538, 891, 2629, 2038, 1296, 563, 1607, 5305, 6770, 519, 4879, 1062, 602, 896, 326, 8674, 4441, 2861, 1603, 13186, 6044, 547, 3610, 10876, 269, 1411, 616, 849, 14376, 547, 1711, 707, 1378, 19471, 4528, 540, 713, 4879, 1062, 267, 607, 972, 616, 9058, 4245, 547, 581, 4121, 689, 6752, 532, 971, 513, 1907, 1927, 538, 519, 2754, 540, 707, 9164, 543, 8726, 1305, 540, 4441, 596, 9772, 563, 29973, 569, 267, 713, 568, 519, 575, 626, 540, 938, 1907, 269, 3503, 713, 538, 513, 1259, 602, 2982, 1018, 596, 917, 875, 547, 798, 269, 3973, 267, 609, 9525, 689, 519, 3214, 2933, 267, 3610, 6060, 1346, 4773, 540, 1603, 1996, 930, 2645, 649, 2285, 873, 563, 763, 2638, 29812, 616, 2854, 538, 4819, 7888, 1893, 543, 1419, 1331, 1806, 269, 634, 2638, 29812, 616, 22993, 538, 3446, 1808, 4773, 602, 723, 1044, 2854, 676, 3214, 896, 2147, 593, 24683, 663, 2175, 543, 602, 7001, 1018, 960, 12805, 4441, 585, 602, 3446, 1377, 1058, 1413, 899, 563, 2690, 1142, 3446, 267, 972, 616, 1079, 12013, 541, 4773, 602, 2099, 1360, 1114, 855, 6697, 2081, 585, 513, 4062, 547, 581, 693, 7400, 563, 2467, 616, 849, 6299, 7879, 2139, 543, 2143, 2081, 547, 12446, 693, 1808, 2338, 602, 2099, 1018, 519, 5856, 666, 798, 269, 901, 2636, 519, 1907, 547, 581, 1031, 585, 21474, 540, 4841, 4804, 538, 1164, 3613, 1389, 8658, 269, 11531, 267, 3214, 616, 6026, 547, 1582, 12431, 612, 267, 547, 1305, 3853, 585, 2933, 267, 547, 960, 609, 18801, 520, 8864, 547, 2087, 741, 1603, 538, 2081, 602, 616, 12627, 2312, 585, 873, 563, 27736, 543, 3610, 723, 513, 3099, 540, 2645, 602, 1118, 713, 4879, 2861, 1565, 2009, 267, 1519, 909, 7308, 2000, 9554, 4773, 282, 585, 1142, 2186, 540, 1603, 267, 513, 2582, 4062, 540, 1603, 814, 1044, 2854, 547, 2099, 1142, 540, 519, 4557, 918, 268, 280, 2157, 267, 13988, 547, 519, 2638, 29812, 543, 519, 11144, 563, 4131, 803, 1294, 1018, 568, 4397, 585, 11359, 3446, 2437, 543, 1287, 23590, 602, 1291, 547, 1118, 621, 6474, 1346, 2362, 6788, 563, 8170, 1576, 267, 649, 616, 3222, 602, 1100, 835, 1907, 19306, 782, 519, 3515, 6361, 23923, 618, 602, 13822, 2208, 538, 1603, 267, 543, 713, 1907, 568, 6157, 1100, 9868, 269, 1284, 4061, 5000, 596, 547, 946, 713, 1907, 7258, 824, 2645, 269, 12846, 267, 952, 596, 941, 547, 2307, 3610, 945, 723, 6026, 1603, 13186, 585, 1296, 1018, 519, 1034, 3078, 1007, 7835, 723, 1044, 936, 519, 2250, 1906, 1296, 267, 972, 568, 1100, 2243, 855, 602, 789, 1131, 2161, 267, 834, 763, 2638, 29812, 256, 22706, 476, 279, 2296, 5678, 8551, 563, 20797, 4530, 269, 1280, 2417, 1344, 267, 3346, 281, 4879, 568, 899, 269, 3446, 476, 279, 1603, 5401, 267, 3277, 547, 519, 12726, 9906, 4518, 585, 519, 21846, 531, 5675, 8871, 14186, 3561, 563, 978, 1501, 5729, 476, 279, 9045, 529, 16371, 546, 819, 8525, 476, 276, 540, 476, 1704, 15863, 547, 3332, 281, 634, 4911, 787, 31509, 1479, 5729, 476, 279, 2296, 9740, 3044, 634, 2694, 540, 519, 9740, 3044, 6098, 538, 519, 4879, 4586, 17413, 476, 279, 2296, 3211, 269, 7457, 521, 540, 7317, 3211, 267, 10526, 543, 14469, 2326, 269, 8073, 606, 2272, 547, 3950, 3356, 543, 2268, 2164, 269, 2637, 3780, 2336, 9359, 707, 11278, 272, 4693, 269, 590, 18510, 297, 17614, 13004, 7005, 2257, 269, 10323, 22268, 589, 962, 292, 2752, 5675, 269, 590, 7417, 20231, 20796, 16775, 4047, 292, 4811, 269, 14168, 607, 5729, 476, 279, 5675, 10495, 25373, 5487, 299, 25824, 1807, 12135, 5426, 589, 302, 272, 268, 4004, 6510, 5693, 267, 3927, 543, 16697, 8271, 267, 8939, 543, 15268, 3159, 267, 2511, 543, 11578, 585, 1114, 3029, 267, 5301, 543, 9458, 563, 288, 26894, 15099, 5729, 476, 279, 2296, 3732, 4879, 13913, 478, 11819, 4808, 269, 1133, 24286, 519, 1379, 538, 6965, 269, 8241, 15099, 269, 5729, 476, 279, 2296, 563, 4462, 24286, 519, 1379, 538, 6965, 7087, 5675, 543, 3798, 1746, 5741, 267, 5675, 29533, 18498, 29154, 2421, 661, 1188, 1069, 2335, 269, 16930, 4967, 827, 713, 5729, 476, 279, 7433, 476, 272, 3040, 634, 3903, 540, 1257, 13352, 538, 609, 519, 5497, 3259, 540, 1349, 602, 786, 581, 1031, 538, 23722, 4574, 267, 1498, 568, 5497, 547, 581, 593, 1547, 0, 288, 1906, 2442, 3681, 1331, 13019, 619, 543, 590, 25527, 6518, 7710, 782, 6073, 540, 3069, 609, 930, 1445, 593, 1514, 1565, 6436, 267, 1247, 700, 11035, 267, 1696, 620, 563, 288, 1647, 1362, 1920, 602, 2833, 519, 12638, 540, 513, 1920, 4759, 666, 1419, 2503, 547, 1995, 1454, 538, 519, 1259, 540, 29059, 543, 6351, 689, 1876, 11268, 610, 519, 7803, 5126, 1062, 563, 2005, 1131, 711, 581, 6190, 547, 3274, 29289, 8320, 540, 9186, 538, 519, 4214, 610, 5137, 540, 7803, 1055, 5151, 607, 7396, 538, 10336, 9479, 538, 1931, 547, 1449, 519, 3069, 538, 2243, 269, 634, 1249, 602, 30140, 14547, 7606, 971, 607, 9291, 27176, 267, 26795, 26791, 267, 8176, 3223, 908, 267, 610, 2274, 7431, 4477, 916, 2917, 723, 1044, 1641, 547, 31989, 676, 519, 1533, 568, 2963, 540, 713, 563, 16352, 513, 2582, 9598, 1807, 6438, 8929, 1289, 518, 568, 8966, 269, 1717, 267, 1346, 689, 519, 2551, 2516, 1373, 5941, 1369, 519, 1699, 7811, 5943, 4749, 2543, 519, 7128, 607, 14763, 267, 1727, 816, 832, 267, 610, 1256, 519, 6697, 540, 10546, 13567, 4229, 538, 930, 8320, 563, 763, 4892, 543, 519, 674, 3305, 267, 519, 1079, 4102, 2706, 14228, 338, 3544, 540, 7890, 1500, 18366, 3069, 538, 7890, 14228, 338, 609, 10606, 14228, 338, 269, 15284, 17793, 345, 1512, 314, 12575, 9948, 769, 519, 9998, 5933, 540, 519, 9628, 3427, 543, 741, 7634, 540, 1480, 14498, 821, 540, 519, 1883, 21050, 525, 729, 519, 1523, 540, 771, 32360, 799, 8329, 547, 519, 11944, 540, 606, 896, 5035, 563, 2690, 519, 14100, 1235, 267, 16851, 26520, 593, 21736, 14226, 540, 519, 2324, 5049, 267, 543, 1022, 6811, 547, 519, 14669, 616, 3274, 513, 23314, 540, 519, 1582, 1606, 6326, 20748, 22530, 4450, 8246, 607, 513, 24134, 585, 519, 29341, 2990, 540, 519, 3854, 1235, 563, 13010, 267, 693, 2547, 930, 540, 891, 2238, 267, 552, 563, 5445, 849, 1349, 610, 2445, 9204, 689, 7817, 14228, 338, 543, 1346, 538, 519, 4123, 547, 2226, 543, 4228, 741, 1062, 269, 2201, 519, 824, 1688, 267, 1104, 14228, 338, 12446, 609, 513, 834, 17641, 1895, 3961, 267, 8965, 8155, 267, 543, 1419, 741, 15597, 1634, 12583, 543, 8088, 725, 563, 1320, 9722, 7600, 1227, 6168, 17235, 269, 634, 3131, 7065, 783, 29277, 518, 10724, 269, 11554, 14430, 538, 8836, 5525, 269, 2290, 1522, 581, 513, 9488, 6514, 540, 519, 5359, 6383, 676, 8387, 1369, 7128, 267, 3656, 267, 610, 10336, 1949, 7282, 1808, 2043, 563, 3080, 540, 891, 568, 6101, 7787, 640, 267, 610, 519, 2070, 602, 519, 2413, 267, 5375, 10066, 2509, 519, 29686, 540, 2601, 543, 4398, 814, 3812, 513, 3510, 1141, 1797, 616, 9674, 689, 7475, 269, 2201, 519, 824, 1688, 267, 2112, 949, 849, 1267, 538, 519, 17783, 1446, 1439, 540, 513, 2486, 269, 589, 2673, 6514, 540, 519, 1880, 6381, 540, 1142, 1367, 2013, 1131, 581, 2556, 563, 2690, 1383, 267, 2797, 10196, 717, 3306, 600, 5204, 7719, 538, 634, 5980, 540, 12650, 1161, 267, 513, 1353, 1759, 593, 519, 1715, 14948, 3557, 29277, 267, 6811, 602, 834, 935, 845, 640, 547, 267, 610, 11539, 689, 267, 519, 538, 22940, 3009, 568, 519, 2101, 4493, 585, 1362, 4328, 543, 10503, 519, 1514, 1894, 540, 14586, 8487, 5445, 32427, 622, 5208, 865, 602, 621, 568, 5266, 1447, 26688, 563, 1103, 713, 1259, 267, 2242, 547, 513, 1379, 6422, 616, 1419, 23589, 543, 1804, 538, 4336, 267, 2864, 982, 16795, 543, 12105, 269, 634, 11204, 631, 2378, 807, 543, 519, 589, 32569, 19656, 3125, 616, 16167, 563, 763, 4152, 540, 713, 3069, 593, 606, 12170, 1377, 1131, 2154, 519, 1646, 540, 1808, 19165, 4171, 19027, 1131, 19472, 519, 9962, 7811, 5943, 269, 1306, 649, 14969, 593, 2630, 267, 2705, 267, 1247, 972, 568, 513, 1390, 4308, 540, 2686, 30846, 1369, 30813, 267, 14228, 338, 616, 1419, 519, 8789, 2686, 4527, 538, 30813, 267, 5103, 10355, 16030, 513, 5354, 540, 519, 7890, 2551, 563, 763, 1152, 3364, 568, 267, 789, 616, 4961, 543, 13348, 1824, 540, 513, 1114, 1876, 267, 513, 1114, 11156, 267, 513, 1114, 4182, 269, 19452, 267, 621, 1058, 581, 4397, 602, 4057, 1004, 267, 7292, 18441, 267, 1762, 1004, 267, 543, 23658, 30743, 786, 581, 811, 2693, 547, 581, 18486, 543, 21991, 3176, 585, 3075, 1876, 19374, 982, 2818, 540, 519, 6671, 1647, 1362, 945, 4497, 538, 2147, 19374, 563, 23192, 3370, 538, 769, 6309, 11659, 267, 23658, 8590, 3069, 7153, 689, 519, 960, 540, 519, 9628, 3427, 593, 14228, 338, 543, 2919, 998, 519, 12572, 5872, 1143, 1153, 883, 513, 1305, 540, 6436, 19163, 602, 1978, 2516, 610, 23658, 30743, 538, 2486, 723, 2418, 543, 8456, 602, 616, 20009, 547, 6760, 543, 5208, 563, 24979, 830, 543, 18366, 7869, 968, 24979, 830, 892, 1306, 513, 2494, 28685, 566, 540, 9483, 267, 8836, 267, 543, 11572, 18366, 538, 476, 2641, 560, 11416, 3345, 3013, 968, 24979, 830, 892, 568, 711, 513, 7613, 602, 666, 581, 3989, 2687, 547, 1022, 6662, 1305, 540, 7355, 563, 21156, 267, 1018, 513, 1880, 1533, 267, 3656, 12512, 267, 15194, 1362, 610, 4015, 540, 8789, 1514, 4229, 11225, 607, 968, 13062, 830, 892, 538, 1022, 269, 769, 6309, 11659, 267, 23658, 8590, 3069, 7153, 689, 519, 960, 540, 519, 9628, 3427, 593, 14228, 338, 543, 2919, 998, 519, 12572, 5872, 1143, 1153, 883, 513, 1305, 540, 6436, 19163, 602, 1978, 2516, 610, 23658, 30743, 538, 2486, 723, 2418, 543, 8456, 602, 616, 20009, 547, 6760, 543, 5208, 563, 20813, 12787, 3069, 267, 21458, 3069, 267, 6107, 14228, 338, 910, 589, 18948, 540, 18366, 543, 6997, 9934, 7869, 538, 519, 12745, 540, 15272, 717, 836, 338, 269, 3733, 10055, 563, 288, 18948, 540, 18366, 543, 6997, 9934, 7869, 538, 519, 12745, 540, 15272, 717, 836, 338, 717, 836, 338, 538, 29277, 4828, 269, 3204, 8973, 14228, 338, 267, 513, 4655, 17695, 626, 1131, 1294, 713, 1514, 3390 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 21104, 725, 540, 9891, 7754, 1564, 454, 13828, 10821, 543, 5010, 3601, 616, 1134, 14018, 547, 9891, 14346, 8470, 1949, 543, 649, 723, 513, 2319, 540, 4966, 8036, 547, 948, 596, 3313, 1141, 1655, 547, 1747, 606, 5044, 585, 5021, 1198, 269, 1452, 4966, 616, 849, 9280, 609, 1533, 6361, 7308, 19603, 1374, 3301, 602, 6087, 873, 547, 1374, 519, 1034, 1942, 2500, 543, 3608, 2497, 585, 1312, 5010, 543, 10821, 3601, 1759, 593, 4087, 267, 2450, 543, 946, 267, 1210, 1614, 8820, 20592, 563, 26794, 540, 7353, 19661, 545, 7754, 1564, 454, 23530, 1379, 2306, 946, 540, 2470, 779, 1034, 3532, 4199, 267, 5356, 2640, 547, 5411, 267, 3755, 543, 519, 1604, 269, 9891, 1648, 568, 513, 7361, 2150, 11474, 4199, 602, 786, 581, 1459, 585, 17542, 540, 1296, 547, 2097, 543, 814, 1100, 11991, 610, 6757, 676, 1790, 20094, 563, 2026, 519, 3790, 540, 13113, 1648, 31244, 267, 3859, 1648, 3091, 606, 4244, 602, 666, 2569, 1648, 12014, 543, 4061, 2333, 13358, 762, 26038, 269, 634, 3355, 1942, 540, 3859, 8440, 568, 2653, 547, 17854, 609, 513, 1507, 2179, 540, 1382, 883, 519, 4324, 540, 16459, 971, 513, 1062, 563, 268, 634, 4346, 568, 5818, 539, 998, 519, 3892, 267, 10380, 543, 5826, 540, 971, 2472, 563, 268, 18877, 609, 7791, 1648, 3435, 4324, 689, 4389, 2011, 543, 1216, 5533, 602, 568, 3812, 676, 5201, 10451, 1949, 602, 7048, 593, 8093, 4492, 563, 268, 4270, 5116, 9891, 14346, 8440, 666, 2628, 585, 2933, 538, 607, 2370, 607, 5722, 1296, 454, 268, 4495, 519, 3355, 5092, 568, 20039, 585, 8440, 666, 1683, 519, 3959, 609, 1863, 5201, 585, 519, 1272, 540, 519, 1062, 543, 519, 9806, 1500, 593, 7622, 12014, 1611, 3859, 8440, 1942, 1447, 538, 519, 1279, 2196, 952, 789, 616, 8704, 4505, 454, 268, 6052, 3812, 666, 581, 1031, 593, 21935, 267, 610, 29633, 547, 519, 3084, 7470, 609, 2883, 15314, 6035, 538, 2132, 454, 268, 9891, 14346, 1949, 2154, 8766, 5826, 543, 4061, 723, 8766, 4881, 3790, 454, 268, 3143, 5533, 568, 2813, 454, 268, 3143, 3653, 568, 3812, 454, 268, 9891, 1949, 946, 1360, 2370, 1648, 2933, 454, 268, 20023, 6846, 5533, 454, 268, 11162, 1648, 568, 3177, 454, 268, 10871, 2011, 543, 1216, 568, 6870, 454, 23530, 1379, 2488, 513, 4264, 543, 9247, 12808, 3761, 540, 1648, 585, 519, 2104, 269, 0, 763, 30437, 6512, 540, 519, 27305, 10158, 30617, 1164, 2066, 519, 6607, 593, 4832, 17334, 269, 2311, 3781, 6420, 267, 621, 21018, 689, 3592, 1813, 5087, 267, 1164, 2066, 519, 7532, 267, 547, 3592, 1813, 5045, 269, 898, 6763, 2047, 16841, 676, 28813, 269, 1411, 1590, 2057, 2749, 8279, 547, 1294, 621, 563, 25582, 569, 853, 1173, 5074, 9669, 454, 17809, 3660, 676, 10060, 14630, 3820, 269, 28791, 6382, 9138, 267, 13156, 2053, 616, 2199, 942, 7488, 540, 942, 7997, 267, 543, 616, 1434, 585, 519, 3003, 13722, 476, 4366, 2829, 630, 663, 267, 3622, 267, 585, 14522, 543, 16127, 1916, 20809, 476, 1789, 281, 4427, 1479, 717, 869, 454, 20809, 476, 4029, 281, 13928, 17963, 454, 300, 573, 1606, 28026, 568, 1572, 519, 13928, 17963, 1317, 519, 968, 27594, 5182, 2223, 11184, 3780, 267, 5526, 2282, 519, 6129, 269, 4595, 11184, 3780, 568, 519, 6505, 652, 5182, 538, 519, 3781, 6607, 267, 3504, 6607, 342, 520, 7129, 2404, 621, 609, 2523, 3905, 2395, 269, 0, 31568, 18741, 2421, 267, 7471, 5547, 22082, 267, 4666, 693, 476, 10037, 454, 763, 17587, 15356, 20421, 11653, 1185, 5249, 693, 7147, 29698, 454, 2839, 294, 5240, 6796, 910, 10793, 18741, 2421, 267, 4171, 960, 538, 519, 3735, 476, 4198, 271, 338, 593, 519, 7471, 5547, 21490, 519, 1259, 585, 519, 2413, 7384, 5736, 267, 5747, 11728, 538, 28543, 693, 519, 2085, 540, 476, 10037, 1310, 513, 5618, 6560, 1996, 2860, 267, 7147, 29698, 5549, 269, 9307, 19108, 563, 763, 17587, 15356, 20421, 11653, 2919, 835, 540, 519, 1101, 7471, 11387, 267, 513, 4015, 540, 27820, 6896, 547, 960, 593, 7384, 4247, 269, 18741, 2421, 543, 30263, 3710, 606, 7471, 5547, 538, 476, 4198, 279, 543, 19429, 585, 513, 14664, 585, 519, 3926, 538, 476, 4198, 280, 267, 513, 1906, 3275, 1354, 27311, 29651, 269, 1071, 1922, 10133, 7917, 715, 1195, 576, 849, 19429, 585, 606, 7471, 5547, 14664, 1247, 6964, 676, 12876, 18876, 590, 2438, 13503, 528, 29651, 563, 293, 1515, 18876, 543, 30263, 5555, 12306, 741, 3656, 3604, 936, 519, 5137, 540, 519, 1101, 7471, 5547, 543, 3444, 268, 997, 10234, 741, 4066, 267, 3850, 519, 19202, 2872, 547, 21707, 563, 298, 559, 2421, 729, 849, 3743, 585, 1896, 824, 14262, 18563, 1247, 6964, 676, 30263, 267, 1519, 513, 1688, 18988, 5907, 9498, 543, 513, 8143, 17002, 267, 30263, 1767, 538, 513, 5305, 563, 257, 31568, 729, 835, 540, 519, 3020, 23806, 540, 519, 19202, 2872, 2437, 30263, 5518, 543, 16628, 6762, 13527, 2023, 1767, 538, 513, 3948, 269, 834, 9336, 11653, 267, 8885, 3769, 267, 7640, 525, 1100, 1507, 851, 540, 741, 17612, 547, 519, 960, 10793, 18741, 2421, 1705, 1934, 693, 7147, 29698, 269, 1284, 786, 4413, 1864, 4799, 298, 559, 2421, 5249, 585, 30263, 689, 476, 4198, 279, 547, 476, 2735, 274, 267, 8066, 1896, 2359, 7158, 936, 1010, 26022, 269, 1261, 729, 849, 513, 7548, 693, 7147, 589, 261, 300, 2160, 689, 476, 3192, 279, 547, 476, 2735, 275, 563, 3891, 4607, 519, 17587, 15356, 538, 6323, 538, 476, 1220, 271, 585, 1010, 7418, 547, 519, 1646, 540, 519, 7471, 5547, 630, 5408, 21091, 2275, 1844, 3726, 23266, 8843, 17587, 6323, 16101, 1916, 298, 559, 2421, 3762, 1079, 20766, 267, 2947, 6264, 323, 13774, 750, 338, 543, 513, 5067, 2987, 25237, 267, 30263, 1767, 563, 268, 24665, 908, 13192, 1546, 7877, 543, 15051, 609, 2494, 3042, 7896, 14992, 602, 798, 711, 723, 6190, 538, 27440, 6791, 547, 2901, 11766, 610, 2226, 606, 594, 30962, 6531, 1058, 2490, 547, 2494, 3042, 6796, 3038, 11107, 4586, 268, 2037, 762, 5150, 6552, 1569, 547, 476, 274, 291, 1239, 1510, 27531, 3308, 13526, 558, 766, 5071, 543, 5663, 3549, 1590, 3082, 3533, 547, 519, 7569, 540, 606, 5051, 2518, 543, 8013, 4346, 269, 1677, 3432, 942, 547, 2344, 585, 2483, 268, 22217, 4328, 8605, 5071, 769, 589, 13216, 2622, 8605, 1374, 4702, 814, 6410, 2484, 3564, 519, 32604, 540, 2479, 2173, 648, 3532, 960, 560, 725, 269, 14992, 666, 1405, 6488, 547, 6615, 3785, 547, 1210, 1152, 2199, 2483, 268, 589, 13129, 15339, 585, 519, 5769, 540, 12085, 634, 2832, 540, 713, 568, 547, 1683, 11629, 338, 543, 3763, 619, 540, 14164, 3785, 609, 606, 2500, 4358, 1448, 602, 6227, 519, 2101, 4170, 2483, 268, 1548, 6496, 621, 6875, 547, 5548, 1853, 513, 32493, 21436, 15232, 286, 634, 5565, 5440, 7304, 730, 6732, 4825, 841, 619, 267, 645, 261, 295, 17421, 543, 9197, 8553, 7615, 22997, 267, 9523, 4256, 31981, 9181, 4052, 595, 311, 2645, 543, 3028, 2409, 971, 607, 3346, 4099, 8069, 543, 519, 946, 540, 1483, 5503, 4633, 12642, 547, 948, 3346, 4099, 2483, 268, 5901, 5395, 951, 5455, 543, 26121, 543, 31105, 619, 538, 519, 14730, 1323, 9399, 299, 20081, 11862, 3946, 327, 820, 3340, 693, 2547, 476, 1015, 2053, 811, 4393, 1379, 593, 513, 7746, 982, 593, 519, 7817, 269, 9399, 299, 556, 10864, 582, 2747, 6285, 666, 11593, 1862, 2353, 10434, 2264, 6519, 14430, 1923, 5680, 4751, 338, 0, 2252, 596, 6999, 547, 3565, 610, 7119, 538, 519, 5717, 827, 4930, 596, 616, 14376, 547, 6443, 27699, 312, 1962, 776, 607, 513, 10805, 3593, 454, 2704, 339, 9014, 17553, 30332, 454, 5804, 27699, 312, 1962, 776, 26264, 454, 268, 22947, 1377, 269, 9208, 2604, 4259, 630, 6200, 274, 554, 25508, 264, 568, 1305, 950, 10760, 676, 4704, 547, 8184, 2157, 1657, 519, 5912, 15820, 3248, 268, 16816, 3363, 269, 13636, 610, 2011, 7615, 2604, 4259, 630, 304, 26822, 264, 568, 1305, 950, 10760, 676, 4704, 547, 15820, 1657, 1611, 4262, 1377, 2630, 519, 5912, 1377, 3248, 268, 27551, 269, 16816, 9014, 2604, 4259, 10834, 4463, 1657, 2011, 7615, 610, 5905, 6658, 630, 304, 25539, 264, 568, 1305, 950, 16042, 547, 2244, 693, 2011, 7615, 1141, 713, 5650, 568, 538, 946, 563, 293, 19691, 547, 1305, 519, 3617, 3046, 6248, 1016, 8397, 2604, 4259, 949, 1267, 538, 513, 1713, 11539, 689, 519, 23498, 15820, 610, 22947, 5426, 454, 15650, 540, 16816, 9014, 17553, 18438, 454, 268, 634, 12681, 3765, 515, 1513, 519, 10299, 2604, 4259, 543, 5036, 606, 11234, 4137, 563, 268, 634, 12681, 30650, 519, 10299, 2604, 4259, 7157, 855, 14543, 547, 1305, 621, 610, 3765, 1606, 1115, 621, 563, 268, 634, 12681, 14543, 547, 1689, 519, 2604, 4259, 693, 519, 3617, 1448, 538, 513, 22576, 267, 18214, 267, 16350, 610, 1935, 563, 268, 23299, 547, 1305, 519, 3617, 2604, 4259, 267, 666, 1267, 538, 11539, 689, 519, 23498, 15820, 610, 8184, 1377, 3056, 547, 1377, 11861, 267, 2530, 540, 9668, 689, 824, 6808, 267, 543, 1256, 16580, 609, 824, 8484, 610, 609, 519, 2666, 630, 20003, 3951, 1916, 268, 13809, 540, 32638, 4656, 1813, 547, 5821, 547, 5660, 519, 4644, 540, 513, 2604, 4259, 630, 18034, 1627, 25539, 607, 10353, 547, 1627, 26822, 1040, 901, 666, 1267, 538, 11234, 7071, 540, 519, 804, 4923, 612, 540, 519, 2666, 7654, 3056, 547, 606, 13417, 8494, 2213, 1935, 610, 16580, 609, 519, 2666, 630, 20003, 3951, 1916, 268, 589, 12681, 14543, 547, 2327, 602, 3044, 2604, 568, 1305, 950, 8429, 519, 5912, 15820, 538, 519, 18214, 267, 543, 2157, 519, 8484, 693, 513, 8184, 1377, 799, 15320, 689, 519, 23498, 1377, 676, 606, 2179, 4470, 593, 519, 3017, 1063, 519, 1627, 26822, 543, 476, 6200, 274, 554, 25508, 563, 268, 589, 12681, 14543, 547, 1305, 1627, 26822, 950, 8429, 519, 5912, 1377, 538, 519, 16350, 543, 2157, 519, 8484, 693, 606, 15820, 799, 15320, 689, 519, 23498, 15820, 676, 606, 2179, 4470, 593, 519, 3017, 1063, 1627, 26822, 543, 476, 6200, 274, 554, 25508, 563, 268, 589, 12681, 796, 268, 4310, 547, 13941, 609, 1627, 25539, 1305, 267, 1281, 711, 3314, 602, 519, 5621, 9014, 1631, 6920, 4463, 1657, 2011, 7615, 15038, 610, 5905, 16365, 543, 18867, 602, 519, 8484, 568, 2693, 547, 581, 6251, 267, 543, 7654, 513, 2603, 6251, 267, 547, 519, 2666, 982, 609, 1627, 26822, 1305, 563, 268, 634, 6228, 540, 3617, 590, 8008, 338, 585, 519, 4259, 543, 3444, 19295, 9535, 540, 5621, 9014, 1016, 10253, 543, 741, 7453, 2616, 766, 568, 519, 1152, 8471, 3119, 3070, 547, 9004, 11234, 5621, 9014, 4259, 563, 268, 2422, 540, 519, 8484, 5925, 5621, 9014, 547, 6895, 519, 8484, 16133, 609, 519, 2666, 666, 948, 547, 2087, 32638, 4656, 3177, 602, 519, 8184, 12284, 616, 3622, 5432, 609, 519, 14099, 936, 799, 789, 616, 10760, 3248, 268, 13382, 16703, 270, 14011, 16703, 1683, 513, 3106, 2121, 1996, 18435, 3951, 543, 538, 519, 2013, 540, 25526, 16703, 4147, 1412, 288, 262, 609, 922, 4781, 540, 513, 2241, 14099, 11837, 4159, 267, 621, 666, 849, 581, 1031, 547, 2047, 2087, 6296, 32638, 4656, 563, 16914, 6342, 543, 5549, 6342, 454, 18128, 757, 538, 799, 519, 11234, 5621, 9014, 2604, 4259, 729, 2901, 513, 2014, 610, 7700, 3815, 538, 513, 5426, 645, 755, 610, 18435, 3951, 14672, 792, 18435, 3951, 912, 268, 589, 17168, 267, 25610, 14642, 5979, 16157, 267, 476, 1220, 279, 630, 20003, 3951, 700, 289, 670, 293, 17985, 290, 264, 630, 4002, 476, 866, 5412, 476, 1220, 279, 267, 606, 17224, 1993, 14309, 5794, 24650, 589, 17168, 26731, 3648, 2630, 922, 23498, 543, 17019, 15820, 1310, 519, 12284, 4503, 32638, 4656, 693, 3781, 15029, 12394, 547, 3715, 593, 519, 594, 11862, 693, 14642, 5979, 689, 606, 3665, 18448, 3950, 1310, 513, 3735, 2196, 3118, 1689, 543, 606, 17946, 718, 1263, 539, 11234, 1224, 3724, 269, 634, 27148, 11943, 602, 519, 3210, 547, 519, 661, 25897, 16703, 9963, 799, 8507, 1185, 1044, 968, 17218, 543, 3500, 892, 855, 602, 519, 1981, 540, 18435, 3951, 729, 968, 30005, 855, 711, 31873, 6100, 634, 2796, 585, 519, 2680, 729, 2808, 547, 723, 1044, 4057, 10618, 1063, 11083, 290, 543, 519, 8484, 538, 2463, 540, 2242, 540, 13941, 2196, 3118, 8094, 268, 667, 295, 279, 291, 267, 30647, 6541, 1401, 2678, 5177, 267, 476, 1001, 271, 630, 20003, 3951, 700, 289, 32217, 670, 293, 264, 630, 4002, 476, 1556, 5181, 476, 1001, 271, 267, 513, 667, 18449, 279, 268, 6110, 1373, 13234, 676, 26850, 2041, 593, 513, 16516, 18213 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 269, 1280, 5301, 540, 519, 7121, 1062, 1934, 267, 27380, 2882, 519, 1353, 540, 6437, 1374, 543, 4058, 269, 2353, 540, 891, 616, 1271, 2127, 540, 4116, 1702, 538, 1840, 547, 7317, 3450, 5578, 269, 11334, 1590, 22962, 741, 1523, 540, 3318, 1646, 547, 1331, 891, 11890, 543, 1265, 2081, 547, 1628, 25479, 2231, 538, 873, 563, 275, 269, 27801, 281, 634, 1646, 540, 5578, 995, 3450, 3340, 2620, 3523, 320, 268, 512, 542, 543, 1875, 12413, 2400, 1582, 7721, 8727, 540, 2259, 538, 6935, 547, 2875, 2164, 563, 2171, 991, 1142, 824, 538, 713, 3924, 269, 634, 6988, 540, 519, 960, 3340, 1164, 1922, 4233, 532, 6887, 602, 1374, 4245, 543, 1455, 24233, 10526, 1927, 267, 945, 798, 5470, 2079, 540, 2875, 960, 267, 543, 945, 948, 1142, 824, 609, 519, 1374, 543, 6388, 540, 556, 974, 2286, 269, 901, 2186, 540, 2620, 5698, 454, 32153, 1702, 568, 1759, 593, 25479, 2231, 543, 12805, 267, 711, 2500, 5615, 563, 307, 670, 661, 590, 918, 594, 700, 700, 674, 772, 700, 570, 661, 589, 595, 670, 661, 681, 476, 2537, 454, 303, 11286, 21450, 1923, 661, 7704, 28718, 3201, 645, 5085, 296, 9128, 306, 1923, 590, 29558, 5357, 5058, 454, 7528, 2231, 811, 982, 3889, 543, 10873, 269, 898, 3340, 5578, 995, 5718, 543, 519, 14375, 1983, 547, 1628, 3972, 267, 3106, 267, 1981, 23824, 267, 543, 8990, 547, 3914, 782, 519, 1453, 269, 968, 5472, 519, 1453, 4866, 547, 721, 892, 568, 519, 16051, 571, 540, 971, 6887, 563, 289, 5085, 296, 9128, 306, 9474, 27345, 5990, 19845, 27073, 5058, 13673, 309, 7644, 2177, 16774, 25723, 595, 3918, 12442, 454, 276, 269, 27801, 281, 634, 2698, 1604, 540, 513, 1153, 814, 513, 3532, 1198, 593, 1053, 685, 1565, 563, 27645, 1590, 7119, 8362, 609, 741, 9164, 547, 3337, 519, 1153, 607, 513, 1565, 1604, 269, 1358, 1590, 1451, 875, 547, 1404, 513, 1909, 538, 14304, 519, 9872, 543, 1294, 2933, 607, 5716, 3564, 519, 4928, 267, 3743, 585, 519, 1062, 540, 519, 1153, 269, 1280, 713, 547, 4755, 267, 22524, 11163, 543, 1908, 326, 658, 640, 991, 547, 581, 3710, 883, 519, 5958, 540, 741, 2324, 3347, 269, 3955, 323, 11163, 3340, 602, 789, 1599, 607, 1312, 3401, 543, 2319, 5716, 543, 602, 789, 24101, 268, 2823, 513, 3666, 540, 13190, 543, 22122, 538, 6437, 543, 3450, 2853, 563, 20597, 650, 995, 3610, 616, 3401, 945, 1491, 519, 11036, 547, 3310, 9164, 547, 268, 20758, 2093, 789, 1871, 543, 1847, 519, 1153, 4724, 2853, 789, 3494, 786, 7794, 3025, 269, 1358, 616, 2319, 5716, 267, 23712, 609, 9164, 547, 2087, 519, 1153, 543, 948, 1367, 1053, 267, 543, 8348, 547, 2285, 909, 930, 13190, 585, 3527, 22466, 676, 1455, 22649, 543, 11650, 563, 763, 4276, 1063, 4116, 1565, 543, 713, 3661, 538, 22524, 11163, 543, 1908, 326, 658, 640, 568, 602, 1152, 3610, 945, 723, 2834, 5872, 609, 741, 9164, 998, 4745, 960, 666, 1995, 519, 4324, 540, 741, 1702, 543, 519, 5348, 1458, 540, 2870, 1007, 1702, 609, 1866, 563, 277, 269, 27801, 281, 4804, 568, 9112, 607, 6267, 15849, 30968, 1007, 1995, 609, 1991, 1702, 563, 27645, 945, 3398, 713, 3661, 1590, 4020, 1565, 2833, 1141, 6267, 616, 3742, 267, 7311, 1702, 267, 543, 10452, 593, 922, 2495, 856, 10978, 610, 538, 1060, 268, 3824, 269, 898, 568, 741, 5539, 547, 1711, 513, 3666, 1063, 1053, 685, 942, 8391, 1007, 1344, 543, 8026, 1983, 543, 741, 942, 8362, 14335, 267, 15849, 328, 268, 561, 908, 267, 543, 7311, 602, 1344, 538, 1483, 8658, 269, 901, 10522, 602, 3610, 1451, 513, 3099, 540, 3631, 540, 3450, 543, 1491, 621, 593, 2933, 547, 1451, 875, 547, 1020, 519, 3310, 18843, 540, 4928, 2916, 4330, 538, 3848, 476, 1626, 269, 898, 1612, 268, 512, 21871, 7575, 873, 547, 1451, 1983, 585, 1818, 1053, 685, 3206, 7298, 543, 1265, 2081, 547, 19334, 1053, 685, 1702, 538, 6935, 547, 1007, 2035, 630, 5408, 3848, 476, 1556, 267, 968, 5141, 10846, 892, 1916, 307, 670, 661, 590, 918, 594, 700, 700, 674, 772, 700, 570, 661, 589, 595, 670, 661, 681, 2190, 454, 303, 11286, 21450, 1923, 661, 7704, 28718, 3201, 645, 5085, 296, 9128, 306, 1923, 590, 29558, 5357, 5058, 454, 2005, 568, 513, 4116, 779, 3318, 5539, 547, 1374, 606, 1604, 538, 799, 1142, 1126, 666, 8011, 563, 278, 269, 27801, 281, 4804, 9775, 609, 519, 4110, 547, 799, 513, 15226, 779, 2115, 585, 10014, 267, 3310, 267, 16169, 267, 543, 6015, 616, 1558, 563, 763, 5626, 543, 5042, 2113, 24586, 602, 3610, 1711, 814, 606, 11999, 1764, 593, 1018, 543, 875, 1453, 1451, 269, 898, 568, 513, 4116, 779, 3318, 1365, 517, 268, 521, 2225, 547, 1374, 606, 1604, 538, 799, 1142, 1126, 666, 8011, 269, 6270, 606, 1604, 568, 6353, 676, 2146, 267, 8994, 1489, 267, 1981, 23824, 267, 543, 2362, 7400, 3206, 585, 782, 269, 898, 568, 849, 6353, 676, 8763, 3007, 547, 588, 340, 268, 546, 757, 685, 1514, 543, 3929, 1565, 269, 0, 1432, 1772, 634, 10020, 2986, 3026, 584, 976, 769, 4804, 454, 10468, 584, 976, 4163, 741, 6835, 538, 519, 1106, 540, 5122, 6786, 1572, 2962, 30372, 269, 1452, 616, 10299, 3842, 519, 4949, 517, 269, 3962, 2962, 1761, 21945, 693, 519, 1439, 540, 513, 22813, 12153, 606, 11852, 610, 606, 22629, 3210, 593, 519, 1985, 22813, 1547, 634, 4222, 540, 891, 6786, 666, 4268, 563, 10468, 584, 976, 616, 7683, 4657, 269, 1358, 616, 544, 4150, 762, 2614, 547, 1689, 519, 3892, 540, 8229, 4296, 607, 2877, 269, 4438, 1565, 267, 5036, 540, 11409, 1689, 741, 12122, 676, 14921, 5348, 22663, 543, 1818, 873, 811, 3608, 547, 7520, 8229, 6771, 269, 901, 7613, 568, 1634, 607, 5348, 25443, 29010, 563, 2414, 2327, 519, 4483, 540, 1007, 1344, 267, 891, 1007, 4296, 616, 1500, 593, 3747, 269, 1879, 1344, 568, 7368, 267, 519, 4611, 27090, 6786, 616, 711, 14477, 7856, 269, 5502, 267, 789, 4043, 547, 1246, 4540, 11444, 269, 18421, 4523, 607, 952, 519, 1344, 814, 547, 979, 998, 519, 9241, 28889, 601, 539, 5348, 22663, 14578, 269, 1306, 971, 267, 621, 568, 1767, 602, 5348, 22663, 616, 22541, 269, 11773, 633, 1565, 3322, 519, 1482, 8849, 11387, 267, 799, 948, 547, 1711, 3965, 563, 10908, 658, 19204, 281, 634, 23398, 5178, 529, 2986, 634, 11020, 454, 4905, 5988, 267, 476, 1708, 272, 454, 763, 2634, 568, 835, 540, 519, 1034, 1271, 8219, 538, 519, 1560, 269, 898, 2636, 721, 547, 3717, 267, 1847, 267, 1745, 267, 543, 1589, 269, 5221, 540, 922, 1883, 1909, 267, 513, 2603, 540, 1382, 538, 2487, 1296, 814, 5059, 593, 519, 2634, 547, 1174, 519, 1114, 2694, 602, 1106, 621, 543, 519, 1259, 789, 960, 563, 22873, 6053, 267, 621, 729, 5156, 602, 11409, 941, 519, 1152, 2281, 538, 5279, 540, 2634, 2534, 269, 1717, 267, 2487, 1382, 814, 12006, 519, 1909, 1350, 658, 2281, 1404, 538, 2634, 1599, 269, 1306, 2090, 1631, 1397, 267, 1350, 658, 2281, 616, 4909, 11051, 1184, 540, 1344, 6771, 269, 1306, 2487, 2090, 1397, 267, 930, 540, 519, 1292, 2634, 3676, 616, 660, 1152, 1644, 547, 27090, 3441, 269, 3794, 658, 2281, 849, 14016, 622, 607, 513, 1267, 540, 2634, 2068, 563, 15650, 2986, 3794, 658, 769, 634, 3131, 8327, 531, 32471, 748, 3590, 454, 19913, 342, 2335, 2281, 960, 538, 513, 2147, 6752, 547, 23731, 30705, 24945, 5052, 607, 789, 849, 3132, 24869, 514, 1352, 987, 585, 519, 4949, 976, 540, 11409, 267, 2705, 267, 789, 616, 4092, 538, 519, 623, 10064, 563, 763, 11919, 9245, 540, 891, 5576, 342, 2335, 2281, 3303, 1023, 1472, 519, 4949, 976, 540, 11409, 547, 1106, 519, 9761, 13471, 602, 568, 2838, 585, 5488, 6771, 540, 5122, 6786, 563, 19913, 342, 2335, 2281, 666, 581, 2901, 24869, 3215, 610, 1875, 2173, 344, 601, 3215, 269, 1733, 12241, 24869, 3215, 5576, 342, 2335, 2281, 16833, 1472, 519, 4949, 976, 540, 11409, 267, 1875, 2173, 344, 601, 3215, 5576, 342, 2335, 2281, 798, 711, 16833, 1472, 519, 4949, 976, 267, 855, 789, 1869, 1683, 1489, 543, 31289, 532, 547, 873, 563, 9827, 267, 1142, 5576, 342, 2335, 1591, 1106, 513, 2582, 24869, 514, 1352, 987, 1472, 606, 4949, 517, 267, 6466, 23731, 30705, 24945, 5052, 1106, 24869, 514, 1352, 23411, 585, 2789, 4478, 4949, 976, 563, 1103, 1840, 547, 32229, 4949, 976, 267, 5576, 342, 2335, 2281, 616, 2565, 538, 3210, 547, 4949, 517, 3441, 1369, 519, 623, 10064, 607, 789, 666, 948, 538, 1036, 10273, 908, 891, 8697, 4949, 976, 563, 2691, 1022, 1826, 540, 5945, 4386, 267, 519, 5576, 342, 2335, 2281, 616, 2366, 547, 519, 5945, 3135, 547, 4894, 519, 4666, 2281, 269, 634, 5576, 342, 2335, 2281, 849, 723, 519, 12588, 547, 19582, 519, 3312, 2230, 540, 519, 11409, 543, 16956, 4733, 519, 11103, 538, 971, 513, 1259, 602, 789, 616, 2111, 547, 2132, 547, 741, 3312, 3077, 4609, 563, 763, 840, 25218, 14934, 6350, 568, 513, 851, 540, 519, 2634, 30232, 16794, 3743, 585, 22589, 17319, 5322, 267, 4092, 538, 519, 1034, 17911, 2990, 540, 519, 28882, 27914, 267, 24152, 519, 13796, 10981, 525, 563, 10673, 1406, 7323, 281, 1744, 8667, 631, 2287, 328, 5448, 28900, 454, 1692, 3509, 3794, 658, 19204, 3657, 1703, 769, 634, 11020, 454, 3080, 540, 519, 4909, 3741, 540, 3621, 3206, 568, 25949, 269, 589, 1434, 10196, 31439, 547, 3398, 4376, 9420, 569, 267, 3079, 29506, 1944, 1169, 1625, 19959, 3948, 540, 1249, 547, 1118, 2386, 519, 2963, 19758, 621, 909, 563, 10303, 713, 14820, 568, 865, 24245, 538, 3621, 10459, 267, 922, 2352, 547, 1174, 875, 5667, 889, 560, 656, 7007, 6811, 666, 581, 7608, 607, 1249, 538, 2257, 269, 1809, 713, 1281, 4755, 12212, 269, 2368, 796, 2889, 1597, 7682, 687, 723, 1256, 1336, 741, 1259, 883, 519, 642, 13550, 539, 8513, 540, 1455, 1702, 513, 25084, 602, 1797, 1945, 568, 865, 1134, 28004, 607, 3020, 602, 596, 21645, 1256, 991, 513, 2707, 547, 1394, 621, 909, 15042, 269, 1280, 519, 2063, 1896, 5756, 267, 713, 814, 1044, 519, 4567, 540, 6811, 602, 972, 616, 1082, 811, 1350, 658, 2281, 982, 11409, 538, 519, 2634, 563, 32507, 27023, 1235, 723, 1044, 5461, 538, 4466, 4977, 9193, 540, 519, 1297, 540, 11409, 543, 1350, 807, 538, 519, 2634, 585, 693, 2547, 513, 2540, 543, 513, 3368, 269, 2755, 23115, 891, 2338, 856, 568, 513, 605, 323, 16406, 9028, 1100, 2339, 875, 596, 2759, 621, 267, 8159, 1350, 658, 1591, 12523, 814, 1044, 3226, 4101, 1813, 547, 519, 1507, 2450, 540, 1350, 807, 543, 519, 7411, 538, 10213, 873, 6306, 689, 824, 1507, 2281, 269, 12846, 267, 1591, 10203, 2409, 723, 4824, 20427, 936, 519, 2063, 1896, 5756, 267, 543, 519, 637, 2601, 547, 3494, 602, 649, 6368, 723, 930, 4570, 9193, 540, 1312, 11409, 543, 1350, 658, 2281, 563, 15650, 2986, 3794, 658, 769, 634, 6239, 32471, 748, 3590, 454, 22349, 24945, 5052, 616, 519, 1034, 3875, 2010, 540, 1350, 658, 2281, 543, 2272, 585, 827, 3368, 540, 782, 519, 2281, 538, 519, 2634, 563, 22349, 24945, 5052, 616, 5182, 11057, 2281, 267, 11658, 547, 519, 2634, 543, 11983, 10260, 799, 2306, 909, 519, 595, 10064, 267, 741, 1292, 1599, 1373, 547, 2226, 519, 1604, 585, 27090, 15202, 563, 5445, 798, 713, 998, 9013, 519, 2157, 540, 30088, 4478, 519, 5348, 22663, 269, 1452, 2281, 723, 519, 2702, 547, 2631, 519, 2157, 540, 32239, 538, 5348, 22663, 543, 666, 1287, 4431, 676, 16089, 6675, 602, 2047, 3310, 519, 27090, 2534, 563, 10303, 540, 713, 267, 4230, 24945, 5052, 616, 1271, 585, 22212, 5348, 22663, 543, 32047, 875, 11409, 5968, 269, 901, 1826, 540, 1350, 658, 1591, 568, 849, 3743, 585, 7738, 909, 1018, 568, 2451, 3297, 1310, 5348, 25443, 6771, 563, 5629, 513, 5048, 814, 1044, 4607, 543, 10299, 547, 519, 1985, 22813, 267, 519, 4230, 24945, 5052, 786, 22120, 1022, 540, 519, 2451, 27492, 30088, 563, 20118, 267, 2899, 513, 22813, 814, 5747, 267, 519, 4230, 24945, 5052, 786, 2973, 713, 909, 607, 1134, 607, 1022, 4430, 11379, 12274, 972, 949, 581, 538, 519, 1604, 269, 8330, 24945, 5052, 616, 849, 1271, 585, 8108, 519, 1973, 2634, 11064, 269, 901, 11064, 568, 1271, 607, 621, 786, 1152, 1450, 538, 6878, 602, 616, 9277, 547, 581, 538, 519, 2634, 267, 4061, 5329, 856, 4376, 5739, 563, 5194, 1271, 1826, 540, 1350, 658, 1591, 799, 616, 11658, 547, 519, 595, 10064, 616, 23731, 30705 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2418, 269, 901, 2963, 267, 13745, 609, 519, 1166, 21294, 2470, 540, 519, 4154, 267, 6920, 602, 519, 4154, 538, 519, 13719, 2666, 4440, 12090, 689, 519, 29056, 540, 519, 30083, 26226, 598, 6921, 9593, 919, 267, 799, 693, 835, 1974, 4988, 1034, 267, 952, 711, 519, 2898, 267, 540, 519, 1858, 936, 799, 519, 570, 756, 334, 984, 584, 571, 21081, 924, 856, 23145, 1186, 563, 4415, 519, 9864, 267, 610, 2347, 267, 11761, 540, 519, 598, 6921, 9593, 919, 519, 4154, 267, 538, 1804, 2268, 267, 6410, 1524, 896, 8904, 6368, 547, 1831, 6404, 609, 519, 10036, 5674, 11491, 12792, 3037, 269, 1635, 713, 1797, 267, 543, 676, 519, 2962, 540, 4881, 1216, 538, 811, 2487, 2053, 267, 5834, 540, 519, 4154, 2418, 538, 519, 13719, 2666, 729, 1198, 539, 563, 1103, 2487, 1296, 1034, 540, 519, 4154, 3812, 538, 519, 570, 756, 334, 984, 584, 571, 2361, 814, 1044, 5833, 676, 6522, 10107, 269, 19791, 609, 1970, 3766, 1245, 2418, 616, 1634, 547, 2291, 538, 1978, 2199, 885, 855, 267, 607, 11329, 856, 5892, 267, 519, 9000, 540, 1216, 7727, 17740, 919, 1996, 2324, 1022, 3507, 2406, 1804, 8397, 5106, 269, 634, 1655, 2081, 1131, 581, 676, 1210, 513, 4496, 18785, 610, 513, 3819, 9514, 518, 563, 763, 631, 5495, 18199, 18161, 302, 4041, 667, 5456, 294, 5058, 306, 616, 13883, 827, 476, 275, 269, 279, 5998, 5045, 540, 24398, 269, 7313, 1961, 267, 593, 519, 18832, 14979, 15880, 267, 1141, 14788, 338, 723, 1044, 3141, 330, 998, 476, 274, 547, 476, 275, 15432, 540, 21247, 18574, 543, 9160, 15113, 609, 21247, 536, 746, 619, 269, 634, 5127, 549, 4242, 616, 3043, 543, 5835, 10612, 743, 599, 543, 8020, 17675, 32498, 269, 901, 568, 519, 1101, 1327, 1275, 1141, 4154, 729, 1336, 267, 543, 711, 1373, 22876, 3293, 538, 2628, 762, 7274, 621, 729, 14460, 269, 7108, 814, 1044, 5249, 1934, 538, 2627, 575, 1638, 625, 15385, 519, 1500, 2666, 269, 589, 1019, 528, 924, 10085, 651, 8255, 6252, 547, 519, 2007, 326, 902, 267, 827, 476, 22550, 15432, 547, 519, 7532, 563, 763, 631, 5495, 18199, 645, 4629, 310, 20911, 667, 5456, 294, 5058, 306, 616, 13883, 693, 519, 27623, 1439, 540, 519, 6778, 645, 992, 928, 16186, 267, 543, 17663, 540, 1896, 2110, 575, 1638, 625, 593, 519, 32720, 2427, 4881, 2509, 513, 7936, 540, 519, 18708, 334, 15880, 269, 634, 4154, 814, 1044, 1336, 1934, 538, 519, 575, 1638, 625, 610, 512, 893, 338, 1063, 519, 1793, 622, 15113, 267, 538, 519, 1906, 1298, 22015, 637, 540, 3037, 543, 695, 17532, 8659, 538, 873, 267, 799, 4564, 519, 11547, 323, 7398, 269, 1452, 575, 1638, 625, 616, 1360, 2110, 269, 543, 13956, 2509, 519, 6366, 267, 1141, 519, 782, 12320, 1756, 568, 5111, 476, 272, 25451, 2620, 543, 789, 3262, 856, 543, 1831, 4057, 547, 960, 269, 9540, 8356, 1375, 1115, 616, 1419, 13603, 856, 540, 519, 11547, 323, 7398, 282, 519, 4102, 1336, 26693, 476, 278, 16006, 13728, 269, 670, 3421, 540, 476, 274, 547, 476, 275, 15432, 538, 3178, 723, 1044, 3141, 330, 593, 519, 524, 9127, 1166, 1846, 1934, 267, 855, 1510, 4466, 2628, 762, 4154, 269, 9540, 8356, 1375, 1115, 723, 1044, 1336, 593, 519, 2627, 538, 1896, 4025, 267, 543, 972, 568, 1100, 8969, 602, 952, 513, 6190, 7274, 540, 1216, 729, 2139, 513, 1390, 4308, 540, 519, 2627, 1131, 2628, 585, 22376, 6005, 269, 634, 13897, 666, 581, 18233, 538, 519, 1216, 32440, 540, 18708, 334, 15880, 950, 1216, 568, 2139, 269, 681, 15903, 21247, 890, 6277, 956, 616, 16559, 936, 519, 1970, 15113, 267, 10834, 519, 3788, 540, 4587, 1743, 22284, 2693, 547, 2270, 4154, 563, 763, 674, 21788, 631, 11223, 667, 5456, 294, 5058, 306, 616, 593, 519, 5045, 3887, 770, 2427, 540, 519, 24398, 269, 645, 992, 928, 16186, 267, 543, 1934, 519, 575, 1638, 625, 616, 1166, 2660, 267, 9962, 267, 543, 2270, 513, 3152, 3178, 540, 782, 12320, 1756, 982, 519, 24398, 269, 7313, 1961, 6226, 326, 902, 267, 519, 29855, 1373, 689, 476, 272, 547, 476, 275, 15432, 538, 782, 12320, 1756, 267, 543, 689, 476, 277, 547, 476, 1321, 15432, 538, 513, 598, 6921, 558, 4733, 540, 21247, 18574, 610, 9160, 9944, 519, 782, 12320, 1756, 543, 16889, 593, 519, 1793, 622, 5377, 269, 898, 26328, 513, 6712, 540, 2666, 2282, 519, 5377, 540, 519, 575, 1638, 625, 543, 1970, 15113, 267, 543, 814, 1152, 1044, 6836, 547, 513, 3908, 6708, 267, 19962, 547, 922, 21052, 267, 1141, 5249, 2705, 282, 621, 568, 1767, 547, 6556, 2628, 762, 2164, 563, 763, 715, 308, 31769, 4953, 667, 5456, 294, 5058, 306, 1107, 968, 301, 10212, 1214, 892, 568, 513, 1970, 14629, 13883, 476, 1556, 5998, 7178, 540, 570, 756, 334, 984, 584, 571, 543, 5526, 547, 581, 7768, 540, 513, 2527, 540, 1216, 342, 1941, 18574, 543, 21247, 799, 689, 7024, 1533, 602, 621, 3568, 1863, 4154, 2429, 689, 476, 274, 547, 476, 1428, 546, 342, 339, 269, 547, 519, 4452, 269, 634, 715, 308, 31769, 4953, 667, 5456, 294, 5058, 306, 616, 593, 519, 7262, 2427, 540, 519, 1733, 8636, 629, 2240, 1695, 16186, 269, 7108, 814, 1044, 1336, 1934, 547, 513, 1507, 6708, 593, 519, 1793, 622, 538, 7522, 267, 13719, 575, 1638, 625, 267, 538, 835, 540, 799, 519, 4102, 562, 1872, 1326, 1336, 593, 519, 2361, 729, 22876, 3293, 269, 634, 562, 1872, 1326, 267, 20604, 476, 1428, 12063, 476, 278, 546, 342, 339, 269, 1519, 519, 21247, 8659, 1369, 621, 563, 763, 661, 3008, 9898, 631, 2177, 31165, 667, 5456, 294, 5058, 306, 1107, 769, 513, 530, 6856, 569, 4287, 267, 5111, 476, 274, 5998, 689, 570, 756, 334, 984, 584, 571, 568, 14914, 11728, 717, 592, 569, 267, 1141, 513, 1906, 6811, 941, 5249, 547, 513, 3178, 689, 476, 272, 547, 476, 272, 269, 276, 15432, 538, 782, 12320, 1756, 609, 1216, 342, 1941, 21247, 18574, 269, 898, 729, 4080, 602, 693, 835, 540, 519, 6811, 267, 1507, 4773, 540, 4154, 1223, 581, 2938, 538, 519, 13897, 607, 621, 729, 5828, 909, 269, 634, 5127, 13702, 568, 513, 10920, 12723, 11491, 12792, 4224, 267, 543, 519, 1327, 1275, 568, 2673, 547, 519, 25342, 10465, 563, 763, 16998, 3198, 25492, 667, 5456, 294, 5058, 306, 616, 519, 1034, 3573, 593, 713, 4154, 7615, 267, 19582, 513, 6366, 1858, 540, 782, 12320, 658, 2666, 593, 519, 15429, 540, 25342, 267, 799, 3029, 519, 8998, 540, 519, 1733, 8636, 629, 2240, 1695, 16186, 269, 634, 29855, 568, 5111, 476, 272, 25451, 538, 513, 2699, 782, 12320, 1756, 267, 609, 5180, 21247, 18574, 267, 543, 11498, 936, 513, 2647, 6366, 609, 2370, 1216, 322, 12973, 267, 538, 519, 10690, 5070, 540, 799, 4154, 568, 849, 1336, 269, 634, 4154, 1934, 568, 1454, 32067, 982, 602, 1336, 11992, 267, 607, 568, 3622, 519, 2013, 538, 25342, 2197, 267, 855, 568, 21432, 2614, 547, 581, 2938, 3006, 607, 621, 568, 25653, 563, 763, 29375, 302, 631, 11223, 667, 5456, 294, 5058, 306, 1107, 476, 274, 269, 273, 5998, 2417, 7532, 540, 519, 21081, 924, 6226, 326, 902, 972, 568, 513, 1804, 575, 592, 569, 1572, 519, 968, 10521, 631, 850, 5608, 14084, 593, 519, 1793, 622, 1175, 3564, 519, 25342, 10465, 267, 543, 729, 5249, 693, 1585, 17909, 689, 17774, 5217, 547, 476, 273, 269, 276, 547, 476, 273, 269, 278, 15432, 269, 634, 29659, 3409, 1185, 513, 3178, 540, 5111, 476, 272, 25451, 540, 782, 12320, 1756, 267, 543, 1507, 8356, 1375, 1115, 666, 581, 2938, 538, 519, 11547, 1673, 7398, 563, 763, 654, 2752, 305, 2969, 14011, 717, 5357, 5263, 296, 5085, 291, 5088, 806, 513, 1804, 2527, 540, 2776, 4211, 3711, 6929, 7725, 2919, 689, 519, 29117, 540, 654, 1551, 520, 3279, 26653, 5087, 342, 6856, 569, 547, 519, 25610, 540, 631, 5803, 569, 543, 733, 27631, 2127, 269, 11153, 782, 12320, 658, 12074, 616, 3769, 16113, 1346, 693, 2199, 885, 1634, 607, 281, 6153, 11016, 267, 27213, 717, 592, 569, 267, 654, 1551, 520, 3279, 15880, 543, 631, 4752, 8636, 779, 717, 592, 569, 269, 2986, 891, 519, 1034, 25685, 2164, 941, 5833, 693, 6153, 11016, 827, 476, 866, 5998, 5087, 342, 6856, 569, 540, 6660, 1706, 1074, 320, 267, 593, 519, 2025, 4155, 547, 570, 756, 334, 984, 584, 571, 563, 763, 654, 1551, 520, 3279, 2361, 267, 2705, 267, 568, 1271, 5631, 676, 2601, 540, 519, 8942, 547, 9553, 519, 4154, 24481, 18625, 4362, 538, 476, 6642, 272, 269, 6333, 762, 3007, 814, 1044, 2016, 547, 2947, 1292, 3515, 540, 11818, 267, 12077, 519, 27505, 518, 267, 654, 1551, 520, 3279, 267, 27925, 267, 14986, 25236, 543, 10906, 24035, 338, 269, 4107, 3007, 5526, 547, 723, 1044, 2016, 547, 519, 27505, 518, 24035, 269, 11569, 267, 513, 8498, 1634, 607, 15751, 729, 3964, 693, 519, 2212, 540, 654, 1551, 520, 3279, 15880, 267, 827, 1547, 275, 5998, 540, 519, 27505, 518, 25029, 269, 901, 1131, 581, 606, 4998, 5544, 547, 3713, 585, 2025, 11113, 543, 882, 923, 540, 519, 2250, 563, 8448, 15183, 593, 519, 27505, 518, 11818, 941, 1634, 607, 519, 6778, 645, 992, 928, 7108, 14086, 543, 31763, 345, 9197, 5241, 7577, 267, 654, 19123, 30078, 7108, 14086, 7577, 543, 1733, 8636, 629, 2240, 1695, 3162, 7108, 14086, 7577, 269, 6168, 476, 6245, 275, 610, 476, 6245, 276, 267, 18625, 941, 4362, 476, 276, 5998, 5045, 540, 15751, 269, 8871, 2358, 29508, 941, 5833, 267, 855, 519, 2164, 540, 19175, 532, 941, 14922, 532, 563, 763, 21832, 645, 21715, 5456, 302, 630, 528, 9741, 645, 754, 15282, 17719, 264, 729, 13883, 476, 279, 5998, 14926, 615, 569, 689, 6660, 1706, 1074, 320, 267, 713, 1858, 814, 1044, 519, 6429, 540, 26740, 19175, 532, 538, 519, 2250, 269, 11153, 14788, 338, 941, 3141, 330, 2390, 18625, 267, 930, 547, 513, 3178, 540, 476, 1789, 15432, 610, 972, 629, 8083, 267, 855, 1360, 2370, 9836, 1568, 5526, 547, 723, 1044, 2944, 269, 11778, 9863, 5667, 15384, 16371, 267, 4352, 1507, 13603, 1612, 26118, 540, 6149, 8120, 2628, 762, 2418, 267, 607, 23576, 676, 513, 11493, 689, 513, 9030, 3409, 267, 1215, 324, 779, 18370, 1051, 532, 28787, 267, 1500, 538, 476, 6245, 276, 267, 950, 476, 1839, 9748, 540, 6149, 26857, 476, 275, 12063, 476, 273, 546, 342, 339, 540, 4154, 829, 9522, 563, 15674, 5357, 302, 6865, 281, 901, 4154, 7615, 16621, 519, 570, 5429, 600, 267, 30474, 717, 592, 569, 543, 623, 5417, 903, 25065, 4154, 26753, 799, 5526, 547, 723, 1044, 3964, 676, 476, 6942, 276, 269, 1717, 267, 621, 568, 6592, 602, 4154, 729, 1101, 4362, 693, 15484, 7112, 676, 25381, 2904, 1394, 538, 519, 4571, 268, 6977, 271, 779, 538, 519, 15484, 7112, 5211, 269, 4279, 10761, 3576, 1747, 1934, 538, 3735, 476, 6977, 280, 950, 519, 4583, 476, 9610, 26412, 562, 1872, 1326, 3957, 519, 968, 299, 8014, 14332, 523, 892, 729, 11552, 691, 1117, 593, 519, 2361, 269, 630, 19013, 267, 1100, 835, 6487, 1141, 4010, 14386, 901, 729, 13604, 4080, 538, 519, 968, 5415, 2023, 7345, 21676, 8175, 892, 593, 519, 476, 2190, 628, 5412, 540, 602, 1032, 269, 630, 32621, 264, 9232, 2201, 13628, 267, 649, 941, 7957, 10696, 609, 519, 4316, 540, 8524, 532, 713, 5386, 543, 3407, 562, 1872, 1326, 267, 799, 729, 1336, 693, 15484, 7112, 6226, 326, 902, 593, 476, 1428, 628, 1128, 1421, 676, 6276, 13527, 2023, 543, 6723, 15196, 525, 267, 1079, 645, 5142, 321, 2033, 2367, 267, 945, 1185, 1044, 693, 960, 593, 519, 2007, 326, 902, 585, 476, 1015, 3275, 267, 543, 1044, 6382, 3811, 269, 634, 562, 1872, 1326, 267, 799, 22179, 476, 9610, 12063, 338, 538, 519, 14407, 267, 543, 5526, 547, 581, 5176, 782, 20424, 4496, 267, 519, 21247, 1152, 1373, 28507, 1152, 693, 519, 1747, 1141, 621, 729, 13351, 676, 519, 4584, 269, 769, 3337, 621, 568, 513, 6366, 24814, 267, 5176, 476, 273, 6279, 5394, 538, 519, 5394, 652, 851, 267, 543, 568, 9985, 5347, 593, 519, 2627, 267, 607, 1498, 621, 1185, 1044, 1454, 1641, 547, 519, 2962, 540, 1216, 269, 634, 18822, 1265, 619, 723, 3957, 741, 16101, 519, 968, 299, 8014, 14332, 523, 892, 543, 950, 621, 3357, 1524, 676, 519, 26603, 677, 547, 594, 1186, 16049, 593, 13723, 2063, 267, 621, 729, 15597, 17820, 547, 2338, 693, 835, 695, 3739, 829, 2212, 2507, 15301, 31756, 264, 2507, 892 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 763, 2596, 23350, 568, 602, 2798, 585, 16460, 513, 2243, 7157, 538, 519, 3014, 616, 711, 16798, 267, 855, 2864, 519, 6345, 610, 5716, 949, 1205, 2798, 267, 6336, 2798, 267, 1491, 2798, 689, 1776, 2319, 610, 2285, 2798, 547, 1776, 2319, 563, 19530, 762, 5053, 11242, 585, 853, 269, 18536, 779, 4303, 689, 715, 712, 880, 20308, 454, 4322, 616, 6486, 547, 2759, 543, 22495, 622, 585, 946, 609, 5487, 744, 2607, 320, 631, 8500, 670, 3711, 686, 31980, 630, 763, 15020, 12017, 787, 595, 831, 18339, 541, 1040, 1358, 666, 581, 1031, 547, 2689, 3536, 4121, 538, 519, 1650, 676, 4730, 834, 312, 334, 570, 1263, 334, 267, 2372, 514, 570, 1329, 324, 8119, 630, 296, 723, 267, 945, 814, 1040, 634, 6486, 1246, 519, 3688, 543, 5053, 1913, 1031, 538, 519, 1433, 269, 0, 10743, 1451, 513, 2370, 827, 5484, 15284, 607, 789, 14679, 883, 891, 2979, 543, 1603, 2238, 269, 1703, 568, 513, 1507, 16784, 762, 30866, 1141, 1053, 666, 2328, 2188, 593, 519, 3330, 543, 519, 1455, 1297, 693, 519, 1283, 269, 1703, 568, 513, 834, 8005, 729, 519, 9814, 5856, 8119, 1232, 18344, 267, 538, 799, 1053, 2347, 2241, 476, 272, 7857, 8691, 269, 1703, 568, 513, 942, 1899, 1141, 1053, 616, 13934, 547, 1224, 519, 942, 1899, 543, 2626, 2262, 2042, 8506, 1036, 29470, 609, 519, 476, 275, 7857, 2338, 540, 1296, 269, 1703, 568, 513, 737, 2572, 543, 10569, 12805, 2534, 543, 513, 2835, 543, 23445, 2534, 1141, 1053, 6474, 519, 8691, 2042, 630, 16341, 616, 476, 273, 7857, 264, 547, 519, 4267, 269, 769, 1603, 972, 568, 513, 834, 2252, 594, 1185, 513, 6755, 8745, 257, 1603, 5401, 269, 4841, 786, 1451, 827, 875, 5484, 15284, 5206, 896, 513, 15554, 7716, 267, 543, 789, 786, 2263, 519, 2856, 540, 1603, 896, 513, 15554, 7716, 610, 547, 15293, 2328, 269, 1703, 616, 4808, 789, 666, 1246, 607, 10372, 547, 1589, 827, 950, 3206, 909, 741, 1378, 15554, 7716, 267, 607, 1134, 607, 8642, 25696, 547, 948, 873, 10891, 741, 2093, 5693, 543, 2097, 909, 609, 741, 1378, 4050, 4408, 269, 1703, 568, 849, 513, 1592, 540, 10530, 602, 5484, 15284, 568, 20295, 607, 6031, 269, 4841, 666, 3858, 610, 10990, 609, 835, 10839, 267, 543, 2328, 856, 513, 476, 274, 910, 476, 275, 5037, 6644, 4062, 593, 519, 10839, 269, 634, 3677, 16784, 762, 30866, 666, 581, 1031, 585, 1292, 2093, 543, 3877, 267, 607, 1134, 607, 15386, 1344, 827, 18148, 15284, 538, 513, 21641, 610, 607, 513, 16886, 514, 4604, 4159, 269, 1703, 616, 2238, 547, 2259, 3334, 540, 1893, 6575, 267, 971, 607, 1110, 531, 18559, 8270, 2456, 267, 8231, 512, 5151, 267, 4630, 2684, 2158, 630, 11004, 267, 789, 2811, 267, 543, 741, 282, 547, 267, 1932, 267, 543, 1079, 282, 543, 4171, 543, 945, 781, 1040, 8382, 10569, 616, 3769, 1141, 789, 4019, 563, 1607, 568, 593, 9042, 585, 1269, 273, 269, 876, 10396, 14877, 585, 519, 8653, 540, 5988, 476, 2420, 526, 269, 898, 786, 979, 909, 538, 3902, 689, 972, 269, 1677, 10544, 811, 1390, 9388, 267, 1246, 1250, 9365, 2985, 693, 454, 303, 4041, 17955, 6789, 298, 32530, 16739, 1354, 11449, 269, 594, 798, 711, 1616, 596, 547, 581, 27025, 30829, 269, 0, 28317, 1268, 945, 814, 711, 2943, 1500, 1010, 1390, 9295, 547, 2257, 1354, 519, 2085, 540, 476, 1789, 786, 2760, 798, 865, 2223, 1767, 15751, 18160, 269, 1261, 729, 1175, 476, 2918, 950, 646, 3370, 1010, 3069, 540, 25536, 269, 23910, 1772, 3711, 731, 8003, 19839, 601, 729, 476, 2190, 950, 646, 2966, 519, 1849, 604, 2023, 12246, 335, 3290, 15167, 267, 543, 621, 779, 1419, 1767, 602, 20266, 27591, 3812, 1010, 20923, 960, 538, 1010, 1000, 550, 625, 563, 3719, 616, 649, 32737, 1869, 1419, 4667, 547, 581, 4607, 7326, 538, 519, 9036, 2443, 2731, 936, 519, 14629, 21176, 6340, 676, 519, 942, 649, 5734, 476, 1789, 286, 2005, 779, 513, 2243, 602, 19174, 723, 1044, 11432, 1359, 585, 1296, 269, 1656, 267, 25747, 267, 741, 2626, 568, 513, 2282, 10595, 1392, 531, 1100, 563, 9303, 9461, 6248, 1382, 267, 585, 3236, 267, 513, 1560, 540, 960, 5645, 856, 6140, 676, 3864, 543, 1977, 17163, 16895, 267, 814, 13986, 547, 2268, 875, 3860, 1004, 616, 693, 1114, 6502, 267, 676, 9477, 519, 2179, 543, 2298, 540, 960, 789, 3132, 269, 1656, 267, 1759, 593, 922, 1239, 267, 1082, 4966, 3494, 602, 938, 8445, 540, 5876, 568, 1447, 547, 798, 609, 938, 2085, 982, 609, 938, 3924, 269, 4053, 5974, 543, 5159, 267, 585, 1383, 267, 3100, 547, 798, 741, 1655, 960, 538, 741, 476, 1789, 338, 543, 476, 2412, 338, 267, 543, 11430, 3740, 15023, 1063, 476, 2918, 543, 476, 4029, 267, 1247, 3209, 1235, 4043, 547, 8445, 1063, 476, 2412, 543, 476, 4510, 267, 8103, 5640, 538, 741, 476, 2568, 338, 267, 543, 3744, 1063, 519, 6502, 540, 476, 2412, 543, 476, 3583, 563, 17843, 11678, 2154, 1114, 5666, 540, 1995, 543, 1702, 1354, 1761, 666, 581, 2322, 883, 2259, 267, 6941, 2160, 540, 4993, 6530, 7548, 25760, 3223, 603, 17363, 2023, 269, 968, 5278, 7853, 666, 1451, 1034, 540, 1018, 789, 991, 547, 917, 827, 6128, 693, 513, 1360, 1762, 2085, 267, 543, 2253, 1818, 1713, 7418, 538, 519, 2361, 2223, 646, 3081, 269, 1809, 513, 10196, 1522, 2154, 1296, 540, 1382, 543, 5698, 1354, 513, 2596, 3069, 666, 581, 1483, 2213, 269, 968, 2005, 3576, 8176, 16817, 1296, 547, 4487, 543, 1418, 1047, 1018, 646, 2877, 547, 917, 547, 2328, 2048, 763, 18882, 540, 15661, 19028, 20118, 267, 3081, 7905, 17363, 2023, 267, 513, 11430, 3740, 10564, 666, 795, 582, 1524, 1010, 4555, 14678, 267, 855, 519, 811, 1950, 2553, 543, 3152, 1272, 1995, 2877, 547, 2328, 513, 3209, 949, 1491, 5756, 547, 10536, 269, 4033, 4966, 2709, 1114, 6436, 593, 1946, 5876, 991, 333, 1406, 3247, 538, 707, 7820, 1296, 269, 7905, 6424, 8895, 21672, 267, 540, 519, 8257, 540, 9297, 693, 519, 2160, 540, 9628, 267, 11099, 21184, 525, 1765, 2436, 538, 1148, 267, 6189, 610, 1256, 1870, 2443, 2097, 538, 1079, 1114, 3029, 281, 12497, 543, 8097, 3048, 2209, 563, 3519, 24632, 1235, 798, 741, 14634, 960, 2038, 267, 7488, 540, 741, 2361, 267, 1317, 789, 11214, 917, 538, 4434, 1018, 789, 4126, 547, 3035, 269, 20266, 27591, 267, 585, 3236, 267, 2219, 998, 1010, 960, 5402, 1354, 8380, 11453, 547, 1957, 267, 865, 1010, 2038, 1148, 568, 1726, 25979, 585, 922, 8798, 267, 855, 1010, 2663, 2443, 543, 1447, 4195, 2443, 960, 3884, 1406, 3833, 865, 1134, 15696, 12023, 563, 301, 12078, 10601, 3943, 18048, 6754, 595, 2946, 345, 22828, 267, 2705, 267, 729, 606, 8097, 626, 945, 5249, 676, 4693, 543, 5470, 1510, 513, 2312, 3804, 267, 7930, 4824, 1010, 4480, 267, 543, 3812, 1010, 1655, 960, 950, 646, 729, 538, 1010, 476, 2412, 338, 269, 2659, 6381, 949, 849, 1404, 513, 2462, 1909, 538, 707, 5876, 269, 23397, 626, 3057, 2088, 10197, 344, 1188, 320, 729, 476, 6795, 950, 1200, 1655, 5498, 29818, 26813, 3209, 589, 10374, 3778, 540, 570, 847, 832, 538, 21977, 729, 3370, 269, 968, 1103, 1250, 476, 2004, 338, 267, 594, 6368, 1185, 942, 547, 8885, 2223, 1352, 3081, 269, 968, 296, 729, 2324, 851, 6066, 267, 1250, 1920, 4769, 1406, 991, 1454, 3007, 267, 543, 594, 1223, 6108, 1250, 22302, 3108, 3257, 1945, 594, 2731, 6068, 3034, 1103, 1203, 528, 7066, 341, 528, 7345, 5894, 14659, 5876, 568, 711, 827, 2085, 267, 855, 827, 694, 1944, 519, 4090, 269, 1261, 729, 538, 1010, 4571, 268, 2004, 338, 950, 646, 2813, 519, 2842, 5346, 5925, 538, 476, 1960, 272, 269, 968, 296, 1223, 723, 1044, 8384, 22067, 667, 3496, 267, 855, 972, 729, 513, 1867, 827, 519, 3262, 540, 589, 1749, 543, 875, 519, 5925, 729, 519, 1655, 1259, 540, 3478, 519, 1857, 1072, 5048, 2066, 2223, 3081, 7345, 5894, 267, 1631, 476, 4037, 269, 968, 296, 1185, 513, 8755, 540, 6667, 267, 543, 602, 666, 4755, 693, 1022, 2085, 3034, 763, 1382, 1281, 2303, 267, 2705, 267, 602, 938, 5876, 786, 1419, 533, 2678, 856, 607, 649, 2085, 267, 952, 649, 1376, 13461, 1932, 1454, 593, 4540, 1702, 543, 6836, 7146, 2389, 6479, 2994, 267, 2864, 982, 19234, 543, 3048, 908, 269, 5369, 6048, 3220, 3223, 603, 27517, 9807, 267, 2278, 540, 4112, 8724, 27065, 267, 3081, 649, 991, 547, 4831, 713, 2429, 938, 2729, 676, 968, 14048, 1007, 8631, 267, 11287, 8966, 3871, 267, 543, 2542, 269, 1411, 991, 547, 6445, 707, 2247, 609, 513, 3099, 540, 4195, 1344, 267, 2035, 543, 1702, 269, 2334, 779, 519, 6151, 1570, 540, 5876, 3034, 10144, 945, 723, 6450, 2393, 539, 741, 8186, 899, 713, 1331, 4460, 717, 746, 267, 476, 7367, 267, 513, 5449, 2749, 911, 1457, 543, 19784, 267, 945, 3576, 909, 11647, 1818, 1079, 1296, 3516, 31422, 5475, 476, 1839, 1296, 538, 519, 2923, 267, 594, 729, 4742, 1932, 1079, 8820, 543, 2877, 547, 723, 513, 1689, 269, 10435, 1919, 609, 707, 3946, 568, 2731, 17598, 267, 543, 707, 2247, 1579, 1513, 540, 782, 519, 20060, 1619, 267, 6214, 543, 2566, 3034, 23178, 17363, 2023, 814, 1185, 513, 2147, 1995, 269, 968, 2691, 594, 9411, 1250, 476, 2004, 338, 267, 594, 3323, 11842, 2436, 1250, 5876, 729, 15018, 909, 269, 2368, 540, 1250, 1382, 2093, 8604, 547, 3914, 513, 2067, 1439, 1448, 269, 1924, 594, 6410, 883, 513, 1007, 1858, 1496, 28291, 316, 543, 3459, 2324, 593, 14557, 26517, 5876, 543, 15312, 267, 28285, 538, 1079, 2835, 12544, 1007, 25755, 593, 1250, 3860, 1272, 1848, 1261, 8591, 602, 267, 4352, 2085, 949, 538, 519, 1439, 1118, 707, 2247, 1447, 11327, 543, 8572, 547, 5352, 607, 1082, 2093, 267, 519, 2298, 540, 1346, 596, 798, 723, 666, 581, 607, 1434, 610, 1732, 982, 1354, 269, 1656, 1995, 543, 6791, 786, 5512, 596, 547, 2936, 873, 18334, 269, 2311, 476, 5038, 267, 646, 7472, 4574, 538, 2484, 1447, 942, 982, 1010, 10927, 1053, 563, 3383, 2085, 267, 621, 4667, 267, 991, 711, 581, 513, 2101, 11064, 547, 513, 11327, 267, 2093, 23752, 1272, 269, 18466, 32109, 5249, 593, 853, 8834, 779, 29092, 3821, 267, 7507, 267, 883, 1010, 476, 3199, 338, 267, 476, 4037, 4458, 6040, 11184, 681, 573, 2917, 8845, 3788, 513, 30508, 4670, 20447, 267, 543, 7338, 32525, 267, 23266, 540, 519, 3167, 1769, 15941, 267, 729, 1767, 547, 1711, 835, 14664, 762, 2856, 1169, 1079, 4374, 1318, 909, 2394, 1010, 2669, 693, 476, 10019, 563, 16605, 16706, 707, 2634, 543, 267, 952, 596, 2461, 3257, 1390, 1919, 1631, 267, 972, 779, 1100, 2601, 1946, 596, 4465, 1406, 581, 3257, 865, 1134, 883, 707, 12297, 720, 563, 26835, 11300, 2311, 7102, 6520, 454, 4322, 4274, 4388, 786, 948, 1832, 707, 2247, 4195, 693, 1169, 3942, 540, 1272, 563, 736, 268, 547, 476, 2412, 4458, 29419, 454, 272, 269, 1403, 596, 2461, 2679, 513, 4876, 610, 1920, 267, 5876, 1419, 4991, 2322, 593, 519, 1394, 6633, 518, 269, 21480, 513, 942, 538, 707, 19701, 30867, 5662, 1354, 5127, 267, 2161, 1765, 1721, 1945, 899, 13465, 267, 5373, 610, 1603, 269, 1403, 596, 666, 267, 6443, 513, 1603, 1895, 267, 26095, 5858, 610, 1781, 597, 267, 3565, 547, 2228, 15473, 267, 610, 1376, 707, 1378, 5816, 269, 645, 23395, 2093, 1055, 1866, 945, 2285, 596, 11215, 5955, 10173, 519, 3860, 1184, 563, 273, 269, 2311, 713, 2085, 267, 596, 949, 1869, 3494, 602, 2093, 1152, 2097, 538, 513, 8755, 540, 21184, 267, 2864, 982, 998, 1296, 540, 2182, 960, 269, 901, 4305, 3947, 596, 513, 2631, 540, 875, 3384, 10888, 2035, 666, 4125, 1981, 543, 1818, 1896, 8959, 8942, 269, 19147, 513, 1957, 883, 2185, 269, 22443, 835, 4737, 968, 7538, 543, 8723, 2093, 892, 543, 519, 824, 968, 13092, 543, 14634, 2093, 6100, 22443, 835, 6241, 968, 14683, 569, 15164, 543, 3730, 892, 543, 519, 824, 968, 18528, 2159, 543, 540, 15458, 946, 6100, 10925, 707, 2093, 883, 891, 9076, 1218, 2443, 713, 786, 948, 596, 960, 856, 799, 3283, 616, 1655, 563, 2412, 268, 547, 476, 2004, 4458, 29419, 454, 272, 269, 3680, 707, 2634, 1793, 6235, 883, 6836, 7146, 2389, 6479, 2081, 540, 3206, 676, 546, 13741, 1782, 538, 1945, 596, 917, 4986, 827, 2443, 581, 621, 1286, 5826, 610, 2672, 25206, 7793, 6291, 269, 3367, 4930, 267, 979, 547, 19014, 543, 798, 6030, 269, 13185, 547, 1004, 945, 616, 1007, 610 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2984, 827, 834, 20130, 7015, 257, 543, 519, 8748, 2575, 789, 3812, 563, 15288, 12678, 11123, 30264, 12678, 910, 8863, 3198, 12283, 910, 966, 22432, 302, 454, 257, 4002, 519, 2627, 540, 519, 1158, 1318, 1631, 972, 568, 2112, 543, 5208, 543, 1919, 3100, 4158, 269, 1809, 9350, 569, 543, 23900, 267, 693, 519, 1482, 942, 267, 1945, 3116, 568, 8345, 11895, 269, 1323, 6418, 4838, 568, 2921, 1747, 543, 1978, 2043, 616, 1373, 1572, 547, 513, 2362, 1769, 269, 898, 568, 513, 14980, 4838, 689, 519, 3330, 856, 267, 689, 519, 2666, 909, 563, 2005, 568, 942, 585, 803, 547, 7866, 8885, 269, 594, 993, 606, 11251, 8665, 540, 606, 5728, 267, 896, 16225, 595, 1633, 32347, 6820, 5106, 267, 513, 5289, 24242, 269, 1284, 723, 11739, 4177, 2281, 538, 1169, 4182, 593, 519, 4541, 269, 1411, 4465, 1405, 1294, 721, 593, 519, 570, 17679, 269, 1411, 4465, 1405, 1224, 827, 721, 538, 519, 11356, 269, 1411, 4465, 1405, 5873, 827, 721, 593, 519, 678, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 20812, 8958, 257, 607, 851, 540, 834, 16300, 16337, 1315, 2657, 1299, 11545, 12389, 1315, 11545, 11242, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 2878, 16215, 7170, 281, 10289, 7977, 3414, 17912, 910, 19594, 14114, 5516, 4373, 8702, 547, 713, 3078, 1770, 1141, 649, 786, 23365, 6000, 538, 519, 4190, 2528, 540, 7977, 676, 8384, 543, 1565, 827, 513, 2295, 342, 9879, 17245, 1572, 834, 2420, 1701, 901, 4670, 6645, 519, 1650, 540, 519, 645, 4048, 320, 1920, 543, 741, 2027, 1747, 1572, 834, 289, 792, 14114, 5516, 2437, 799, 2488, 1416, 585, 1453, 609, 2789, 9124, 269, 1635, 3695, 713, 7260, 1927, 267, 596, 3513, 1205, 547, 917, 811, 827, 7969, 1893, 267, 5389, 267, 543, 2418, 2439, 265, 8893, 476, 272, 281, 4985, 547, 7977, 543, 4706, 9177, 22177, 2005, 3315, 568, 513, 2197, 4092, 538, 8828, 2342, 267, 1634, 585, 922, 3638, 1686, 267, 8949, 1426, 267, 10875, 8916, 267, 543, 3309, 2686, 6561, 269, 32228, 2103, 616, 10583, 540, 741, 9821, 543, 5389, 267, 1082, 540, 799, 723, 1044, 5293, 1524, 998, 5481, 269, 2368, 2442, 7969, 5389, 1331, 14120, 5487, 14080, 320, 546, 7578, 3115, 889, 321, 997, 320, 630, 11847, 3016, 4303, 264, 543, 11981, 2757, 6980, 1282, 8285, 543, 14914, 780, 265, 8893, 476, 273, 281, 15775, 21733, 20557, 609, 11657, 2456, 22177, 291, 17805, 2456, 616, 9413, 602, 1397, 1483, 1004, 543, 2621, 3079, 540, 11051, 543, 14070, 2984, 269, 1358, 666, 4001, 721, 3407, 4245, 827, 1114, 4529, 543, 7239, 1247, 849, 19278, 721, 269, 834, 2420, 257, 568, 606, 5140, 1383, 1317, 621, 8843, 513, 15700, 9661, 540, 2648, 267, 8296, 267, 543, 8990, 1369, 519, 2796, 540, 7969, 1272, 780, 265, 8893, 476, 274, 281, 4804, 9978, 7969, 1912, 29320, 22177, 9961, 938, 3460, 267, 649, 3513, 1451, 930, 1898, 7969, 1913, 543, 2453, 899, 834, 31807, 784, 1640, 7224, 10590, 630, 14187, 6640, 1070, 834, 294, 23432, 773, 257, 630, 14188, 596, 1070, 834, 303, 2958, 334, 257, 630, 2791, 2811, 10950, 1070, 834, 8110, 7957, 648, 257, 630, 8923, 1070, 543, 834, 6635, 337, 1882, 518, 857, 257, 630, 14187, 25742, 1040, 1452, 2474, 786, 948, 15052, 707, 4276, 609, 519, 3197, 543, 4259, 538, 834, 2420, 3010, 265, 8893, 476, 275, 281, 4197, 26225, 543, 20504, 766, 538, 7977, 22177, 1103, 7977, 267, 972, 814, 1044, 3356, 2509, 2870, 8537, 5054, 585, 2043, 609, 9124, 269, 19198, 899, 519, 23394, 553, 6542, 875, 789, 1683, 11108, 1489, 1949, 585, 891, 3214, 693, 4025, 971, 607, 19594, 14114, 5516, 269, 2060, 834, 2420, 2580, 649, 7747, 519, 2956, 540, 1620, 543, 6568, 1851, 3885, 543, 2950, 950, 12391, 585, 1346, 609, 2027, 2115, 780, 265, 8893, 476, 276, 281, 2561, 21090, 540, 3203, 2065, 20309, 22177, 9209, 4249, 606, 1271, 1909, 538, 7969, 2528, 267, 1519, 21576, 269, 8606, 7825, 5474, 946, 23877, 267, 3280, 339, 13715, 267, 5188, 267, 543, 11049, 2553, 547, 6655, 4664, 543, 6835, 3927, 269, 1280, 3236, 267, 21917, 853, 1030, 534, 24380, 565, 22603, 8591, 3178, 547, 834, 2420, 257, 609, 1010, 3312, 2575, 6060, 780, 265, 8893, 476, 277, 281, 14506, 543, 17583, 22177, 5475, 8384, 834, 2420, 2580, 1589, 827, 1018, 596, 4121, 827, 7969, 2528, 267, 1920, 6384, 267, 543, 9659, 4656, 269, 1215, 1281, 519, 4670, 8300, 2463, 543, 11587, 286, 1548, 824, 3344, 540, 7969, 2486, 1131, 596, 899, 547, 2263, 2417, 286, 9523, 707, 4555, 609, 15032, 543, 2015, 2081, 596, 1522, 4019, 519, 4798, 4843, 538, 707, 3232, 1272, 780, 3528, 9284, 532, 3054, 538, 7969, 2528, 3842, 834, 2420, 2580, 596, 24389, 593, 513, 12300, 7045, 4904, 609, 1007, 2833, 543, 4030, 269, 15566, 5275, 856, 3255, 547, 5660, 1585, 4654, 267, 12583, 267, 543, 5380, 1107, 945, 6487, 1141, 707, 7279, 949, 1291, 596, 1985, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 1708, 274, 1284, 5269, 20176, 625, 4139, 17912, 16635, 454, 266, 476, 276, 2395, 454, 266, 476, 15836, 8874, 3245, 15907, 519, 2622, 454, 266, 476, 3374, 19154, 8016, 16775, 5508, 11550, 16165, 4456, 300, 5058, 1299, 9501, 4488, 24361, 12601, 19006, 454, 266, 259, 736, 32182, 654, 3633, 301, 2464, 31165, 4149, 7419, 31165, 454, 266, 1284, 590, 8491, 1411, 589, 10323, 2969, 454, 11754, 513, 2140, 1934, 269, 5269, 621, 12050, 543, 26374, 269, 8437, 547, 12575, 563, 288, 19622, 15022, 603, 6048, 19380, 1010, 15400, 1382, 547, 513, 9490, 543, 8966, 6177, 269, 1306, 646, 11394, 547, 2697, 922, 21372, 2249, 543, 5169, 267, 519, 1899, 1063, 2470, 543, 20741, 3587, 688, 5414, 563, 23742, 7825, 6033, 12713, 281, 3689, 942, 27752, 270, 17445, 528, 29336, 15838, 4591, 761, 345, 267, 513, 2487, 10927, 689, 21060, 6019, 4400, 3427, 540, 519, 8551, 267, 14405, 6667, 689, 5626, 26497, 619, 543, 9060, 4313, 538, 519, 13943, 563, 290, 770, 281, 3627, 23715, 787, 267, 21142, 7665, 5459, 267, 715, 2967, 807, 700, 26953, 773, 1315, 21277, 1356, 281, 9253, 20811, 4591, 761, 345, 1315, 10615, 281, 29336, 15838, 4591, 761, 345, 1315, 27752, 281, 29336, 15838, 4591, 761, 345, 1315, 28037, 14670, 19212, 281, 769, 334, 18708, 7377, 704, 1315, 15503, 281, 20182, 9149, 1315, 1290, 1842, 518, 281, 853, 1030, 534, 24380, 565, 22603, 454, 257, 2420, 257, 568, 519, 1650, 540, 519, 645, 4048, 320, 1920, 543, 741, 2189, 9744, 834, 289, 792, 14114, 5516, 257, 585, 1453, 609, 2789, 9124, 269, 634, 4670, 1011, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 24292, 8056, 619, 542, 998, 17912, 543, 9012, 257, 607, 851, 540, 834, 293, 16800, 22218, 700, 20315, 308, 17803, 29898, 1315, 7969, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2866, 547, 7500, 873, 269, 901, 7182, 1239, 24339, 26494, 563, 268, 4578, 14839, 2645, 281, 5381, 547, 19739, 2645, 267, 1239, 14839, 3301, 2636, 3755, 547, 2490, 9184, 983, 1239, 883, 7851, 267, 21686, 15236, 543, 824, 21370, 3029, 269, 1452, 1118, 621, 811, 8903, 543, 24669, 547, 3755, 269, 1717, 267, 607, 609, 19739, 2645, 267, 1082, 1239, 14839, 5867, 2154, 6791, 543, 2866, 547, 581, 1031, 7157, 563, 4407, 3906, 723, 16539, 8185, 538, 741, 1239, 10518, 538, 2474, 540, 1312, 2029, 27121, 543, 9952, 4966, 547, 2196, 741, 1239, 2359, 1949, 267, 789, 1869, 6560, 547, 1205, 2407, 1871, 689, 741, 1239, 269, 901, 568, 1317, 741, 10518, 19330, 513, 1239, 1995, 4494, 602, 6087, 873, 547, 3927, 2671, 543, 24339, 520, 1125, 741, 1239, 693, 4336, 563, 288, 1239, 1995, 1907, 18795, 1369, 707, 1239, 2359, 3301, 10518, 543, 2882, 1883, 2934, 602, 1450, 596, 547, 912, 268, 4045, 547, 782, 1239, 2959, 547, 3142, 1239, 1927, 267, 16382, 621, 814, 1044, 2813, 610, 6740, 454, 268, 28389, 1239, 547, 2087, 2298, 676, 7311, 21932, 547, 3044, 1125, 543, 10802, 1239, 609, 5007, 14449, 454, 268, 6583, 1501, 1239, 998, 3532, 2934, 602, 16102, 2298, 543, 1118, 2359, 543, 7245, 2241, 543, 3551, 269, 634, 1907, 1058, 25117, 1883, 4247, 267, 971, 607, 519, 5137, 543, 4687, 540, 27034, 547, 2333, 4398, 454, 268, 10439, 1125, 1239, 998, 2653, 3562, 14025, 1100, 3009, 2645, 602, 1611, 1875, 7721, 704, 1206, 666, 3533, 1711, 8903, 1239, 32331, 454, 268, 9523, 1239, 538, 2081, 602, 3895, 3152, 19074, 676, 782, 1107, 689, 29026, 585, 4274, 3755, 547, 4647, 998, 3044, 3758, 12043, 547, 2671, 762, 6402, 267, 2139, 593, 1930, 1239, 2823, 1023, 267, 4835, 1239, 2344, 17541, 543, 7649, 2823, 1023, 563, 268, 21302, 875, 1239, 568, 1373, 1031, 543, 3838, 998, 1239, 22871, 7207, 269, 901, 2337, 1174, 1239, 8928, 1369, 707, 3919, 543, 4061, 2087, 1239, 2359, 563, 278, 269, 6201, 540, 5561, 602, 4383, 519, 1239, 29488, 609, 744, 12323, 21648, 21510, 454, 19913, 928, 3187, 11272, 1107, 2870, 4835, 543, 5007, 1239, 2833, 454, 19913, 928, 3187, 11272, 3096, 513, 2039, 540, 3435, 547, 4383, 1239, 2066, 922, 29488, 267, 4180, 621, 10742, 10350, 543, 4687, 4170, 269, 901, 2882, 6531, 4859, 998, 9786, 10897, 675, 543, 922, 13096, 5419, 802, 1239, 10720, 5264, 3070, 269, 1452, 3049, 1239, 883, 519, 744, 12323, 21648, 21510, 3760, 267, 1141, 5576, 928, 3187, 11272, 5932, 1239, 2833, 799, 616, 3838, 998, 922, 16510, 1239, 543, 2533, 19458, 563, 14737, 3588, 540, 22505, 1107, 1239, 2359, 547, 2087, 3375, 6194, 454, 763, 3943, 12080, 540, 22505, 25173, 513, 2039, 540, 4835, 543, 5007, 1239, 267, 689, 2229, 8041, 1519, 519, 12080, 540, 2657, 543, 519, 3943, 2817, 10803, 16958, 630, 27486, 7417, 1040, 1452, 616, 782, 21438, 1369, 519, 744, 12323, 21648, 21510, 3760, 1141, 789, 616, 5423, 543, 23353, 269, 4578, 568, 1287, 3838, 998, 32331, 543, 556, 4926, 609, 2797, 3375, 24237, 267, 4891, 267, 4213, 543, 519, 2489, 1857, 563, 299, 600, 773, 4573, 3241, 548, 281, 3844, 1944, 1239, 547, 5512, 4687, 454, 11900, 4269, 2754, 19681, 773, 814, 1500, 744, 12323, 21648, 21510, 519, 22294, 540, 922, 1239, 2359, 4640, 269, 2353, 1239, 267, 2436, 6394, 24323, 610, 608, 27238, 676, 7649, 3906, 267, 568, 21438, 593, 519, 744, 9169, 3760, 269, 898, 568, 1287, 3838, 3842, 519, 3760, 538, 2789, 12043, 267, 971, 607, 3842, 21686, 15236, 585, 5520, 267, 609, 922, 2098, 2129, 334, 10911, 300, 3070, 543, 824, 4835, 1949, 3842, 29026, 543, 609, 5561, 998, 922, 6131, 6075, 543, 7649, 2823, 1023, 269, 0, 16829, 593, 281, 5437, 476, 1789, 267, 476, 1708, 274, 454, 290, 1245, 16661, 8881, 281, 31071, 12708, 338, 454, 2026, 519, 2837, 12772, 543, 5162, 5036, 538, 267, 4180, 519, 3106, 543, 1134, 5630, 540, 5520, 2324, 538, 4411, 4365, 3587, 513, 1283, 10862, 585, 12820, 269, 12019, 2566, 10898, 666, 10460, 4049, 4220, 547, 4600, 262, 1072, 543, 7607, 267, 1818, 621, 2629, 547, 2936, 1697, 3106, 3800, 269, 769, 713, 5816, 2022, 267, 649, 3513, 2263, 1898, 2994, 585, 7303, 4411, 2566, 538, 519, 9036, 267, 689, 7114, 10898, 547, 3246, 519, 1318, 7802, 543, 3937, 563, 290, 1245, 2566, 4386, 950, 3002, 2530, 568, 811, 4028, 982, 519, 1560, 666, 3132, 267, 20392, 4600, 547, 4220, 971, 607, 4049, 10108, 267, 7063, 267, 543, 5160, 3441, 269, 7756, 2127, 540, 519, 2197, 1995, 4411, 2566, 8335, 267, 609, 2282, 6954, 4506, 5210, 7700, 547, 519, 2783, 269, 634, 2842, 28306, 1198, 2306, 3002, 4734, 519, 1560, 811, 3533, 269, 22911, 1145, 610, 14927, 1145, 666, 849, 3565, 547, 519, 3390, 563, 3383, 267, 875, 4411, 1281, 621, 723, 547, 581, 286, 12019, 5210, 1810, 1405, 723, 547, 581, 2630, 16171, 269, 14523, 1278, 8926, 666, 2049, 1256, 693, 5210, 1657, 476, 2412, 4113, 674, 1813, 547, 4764, 267, 17570, 267, 610, 4411, 1216, 563, 268, 8056, 619, 542, 20081, 3402, 14272, 281, 570, 3402, 3723, 568, 513, 1875, 6954, 4506, 3723, 5945, 3361, 676, 12675, 4598, 547, 6632, 543, 4411, 2175, 267, 1256, 538, 5210, 607, 1164, 607, 476, 2568, 13790, 269, 22911, 3952, 6336, 3002, 476, 1839, 2053, 5488, 982, 3819, 3952, 267, 4929, 5945, 563, 268, 29778, 321, 924, 281, 29778, 321, 924, 568, 3361, 676, 519, 2960, 543, 8031, 16171, 269, 29778, 321, 924, 666, 2014, 9434, 2168, 3441, 543, 267, 538, 4049, 2665, 267, 993, 1584, 566, 563, 268, 14523, 1278, 8926, 281, 14523, 1278, 8926, 4386, 950, 519, 1560, 781, 2837, 12772, 2630, 476, 4817, 13790, 267, 4929, 621, 547, 6336, 3002, 5488, 982, 621, 666, 3132, 269, 901, 22930, 540, 6740, 1648, 5012, 547, 25983, 958, 1970, 1560, 2837, 563, 268, 932, 559, 4565, 1622, 281, 932, 559, 4565, 1622, 616, 11213, 5343, 725, 540, 6263, 1973, 8043, 538, 519, 2960, 3812, 676, 12675, 4598, 547, 5210, 8151, 689, 1175, 1657, 16171, 547, 476, 2568, 13790, 563, 7197, 1004, 945, 1995, 4411, 2566, 693, 960, 616, 13964, 269, 12846, 267, 621, 666, 849, 4755, 547, 5520, 945, 960, 16280, 538, 796, 515, 730, 610, 22393, 669, 2683, 1568, 335, 2167, 267, 971, 607, 14023, 2209, 610, 1863, 345, 619, 563, 17829, 609, 4617, 10009, 267, 25161, 22825, 267, 543, 1991, 15470, 321, 924, 949, 581, 3226, 7925, 269, 634, 8594, 540, 4411, 2566, 585, 6534, 10986, 14380, 607, 2842, 3432, 4679, 1317, 621, 2306, 519, 669, 11035, 2011, 2837, 1745, 1256, 8338, 269, 11790, 7700, 547, 4411, 2566, 1331, 912, 268, 22911, 1145, 7933, 2086, 1145, 267, 20025, 9660, 267, 543, 13110, 1145, 454, 268, 20530, 529, 19397, 3676, 1331, 13119, 267, 30847, 267, 543, 3987, 454, 268, 769, 1228, 12930, 2168, 8516, 454, 7212, 13013, 11190, 1281, 711, 723, 513, 1808, 3044, 602, 6227, 2324, 538, 4411, 5054, 267, 12820, 723, 513, 10279, 547, 2149, 4600, 689, 6444, 10898, 267, 1519, 4411, 2566, 10898, 267, 602, 616, 4929, 610, 616, 2693, 547, 2014, 2669, 610, 3978, 2800, 538, 519, 9036, 269, 14146, 619, 1590, 5721, 741, 5520, 269, 9751, 1058, 17663, 519, 1739, 3334, 912, 268, 1215, 547, 2697, 2825, 543, 9036, 2188, 602, 666, 1291, 547, 4411, 2566, 563, 268, 634, 2589, 540, 4411, 2566, 267, 875, 547, 2061, 621, 267, 543, 1018, 596, 666, 798, 547, 5351, 1346, 4299, 563, 268, 1215, 547, 10571, 14013, 585, 4411, 267, 14927, 267, 543, 2842, 344, 4365, 563, 32715, 619, 1058, 798, 519, 1739, 912, 268, 5901, 606, 3750, 593, 519, 4600, 262, 2168, 2783, 563, 268, 14190, 519, 1560, 547, 3636, 909, 676, 2921, 2834, 5618, 26520, 538, 3636, 267, 3819, 5468, 563, 268, 4518, 2429, 519, 3636, 652, 851, 540, 519, 1554, 563, 268, 2422, 519, 14609, 344, 1505, 630, 1740, 538, 2516, 540, 1079, 610, 811, 1916, 268, 24953, 267, 6653, 16098, 1058, 581, 6039, 269, 3680, 23931, 16098, 563, 268, 10965, 871, 593, 1164, 21307, 8510, 3433, 3688, 547, 3251, 16138, 1639, 563, 268, 3680, 11953, 2960, 3346, 609, 4411, 4496, 610, 6632, 7252, 563, 268, 7177, 8060, 267, 971, 607, 32689, 28909, 267, 1058, 581, 3177, 563, 17829, 5520, 693, 1981, 1058, 1174, 4411, 2566, 10898, 543, 2936, 14319, 547, 2087, 3106, 538, 4411, 5054, 269, 14146, 619, 1590, 2708, 4600, 262, 4598, 1981, 543, 1544, 2922, 960, 11056, 1759, 593, 2842, 28306, 2837, 269, 898, 568, 2629, 547, 6218, 519, 2168, 1533, 1282, 11645, 267, 2523, 585, 1007, 4600, 610, 13059, 1310, 513, 1974, 540, 9000, 563, 13014, 2386, 596, 1174, 519, 10898, 540, 2324, 538, 519, 4411, 543, 519, 3800, 602, 666, 2087, 11832, 3106, 676, 8391, 519, 1697, 13013, 11190, 10687, 680, 5050, 2866, 269, 2311, 476, 11740, 32086, 267, 649, 2709, 1082, 6030, 267, 1312, 2228, 543, 538, 1268, 267, 547, 5721, 596, 543, 707, 5234, 593, 519, 3617, 3106, 3800, 269, 20043, 971, 607, 912, 268, 13013, 11190, 476, 1015, 6953, 712, 14716, 9751, 6092, 454, 268, 13013, 11190, 476, 1789, 6953, 712, 14716, 9751, 6092, 454, 268, 13013, 11190, 476, 1789, 6953, 712, 4937, 12752, 9751, 6092, 454, 268, 13013, 11190, 476, 1015, 6953, 712, 4937, 12752, 9751, 6092, 454, 13425, 856, 938, 17048, 543, 18934, 538, 519, 1576, 602, 568, 1318, 585, 596, 256, 0, 4263, 681, 3739, 2023, 12729, 3427, 267, 938, 3203, 6437, 30242, 547, 8300, 543, 1020, 5876, 267, 4161, 267, 4497, 543, 5000, 938, 1453, 547, 2769, 2933, 998, 10452, 593, 543, 6721, 4773, 540, 1148, 269, 898, 28382, 873, 609, 1702, 543, 1983, 998, 3255, 547, 2263, 1114, 2553, 267, 5159, 543, 2923, 563, 2171, 4126, 547, 1020, 938, 1453, 607, 5159, 676, 20392, 873, 547, 3309, 1148, 2833, 267, 4758, 873, 606, 7499, 5639, 543, 5337, 1746, 513, 1272, 17489, 7287, 547, 2972, 1148, 540, 1866, 543, 581, 3860, 2933, 269, 2060, 2834, 3255, 543, 2833, 585, 873, 547, 2992, 267, 1451, 543, 6218, 11247, 786, 23365, 873, 609, 1148, 543, 1831, 8746, 267, 3860, 5159, 563, 4263, 681, 3739, 2023, 12729, 3427, 782, 1453, 786, 1491, 851, 538, 1148, 4245, 1142, 2165, 609, 824, 3255, 547, 1995, 1148, 693, 26847, 543, 2744, 1983, 689, 9683, 5159, 269, 3203, 4245, 616, 6026, 547, 1142, 1032, 1895, 1739, 519, 11144, 3561, 563, 10376, 18843, 2306, 1453, 781, 1991, 543, 2104, 1565, 2312, 267, 6029, 875, 3450, 13352, 883, 519, 1453, 781, 9962, 1565, 3460, 269, 28392, 9709, 6863, 543, 6700, 5159, 543, 5931, 2327, 17003, 568, 2502, 585, 519, 1453, 563, 763, 1292, 6101, 2609, 540, 1148, 602, 786, 581, 6026, 2066, 5373, 267, 7206, 543, 17001, 616, 912, 763, 1453, 786, 1451, 1312, 1702, 543, 1983, 538, 513, 11636, 6073, 1142, 1032, 563, 288, 2312, 1544, 540, 11144, 585, 17250, 1504, 960, 7132, 513, 5094, 835, 585, 30228, 543, 6268, 741, 960, 267, 2982, 1164, 6788, 543, 875, 741, 1983, 538, 782, 2127, 616, 2919, 607, 789, 1847, 998, 519, 1153, 563, 763, 1453, 538, 661, 312, 12396, 616, 5189, 912, 268, 1677, 9108, 946, 543, 2263, 513, 3099, 540, 2326, 267, 2645, 543, 2553, 267, 19234, 609, 7990, 267, 1374, 267, 9403, 267, 1106, 543, 1599, 282, 20620, 268, 9523, 741, 13144, 267, 7713, 519, 1184, 789, 723, 1031, 3248, 268, 5269, 946, 540, 605, 1186, 543, 2326, 950, 1909, 4730, 3197, 538, 6386, 543, 2984, 454, 763, 1453, 538, 23794, 272, 2253, 1565, 2596, 1983, 543, 2553, 998, 5373, 267, 7206, 543, 17001, 267, 799, 1331, 912, 268, 15331, 532, 1899, 2010, 543, 8846, 543, 1114, 11453, 2553, 563, 268, 18833, 519, 3017, 1063, 476, 273, 291, 543, 476, 274, 291, 5546, 543, 875, 3515, 1118, 5546, 563, 268, 5700, 543, 946, 1114, 3029, 543, 4336, 538, 1114, 1199, 5362, 563, 268, 10812, 3159, 998, 2048, 2775, 543, 4158, 685, 543, 917, 875, 547, 3575, 873, 538, 5862, 543, 1711, 873, 538, 12400, 563, 268, 5700, 3119, 543, 6281, 15437, 543, 875, 547, 1711, 873, 543, 1895, 873, 563, 268, 10576, 1114, 18282, 563, 268, 1215, 547, 946, 17250, 9248, 547, 2263, 267, 2594, 2553, 267, 2992, 543, 1039, 2854, 14391, 725, 563, 1103, 23794, 273, 267, 519, 1453, 2417, 1020, 741, 1702, 543, 1983, 540, 519, 6101, 2609, 540, 1148, 267, 1899, 267, 3337, 267, 1106, 267, 3159, 267, 7990, 267, 9403, 543, 4806, 543, 741, 13994, 1637, 540, 519, 6863, 2404, 609, 621, 269, 1358, 1020, 741, 17250 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 519, 6607, 267, 799, 568, 18991, 8272, 549, 1042, 676, 519, 7909, 545, 27347, 267, 5211, 27347, 267, 799, 616, 519, 1883, 3334, 602, 616, 20057, 1782, 519, 2661, 17349, 676, 519, 29915, 566, 540, 2470, 563, 16675, 568, 513, 3579, 2681, 267, 799, 568, 835, 540, 519, 824, 811, 7986, 2067, 4778, 602, 568, 1419, 9228, 676, 721, 607, 513, 3090, 540, 11606, 269, 9578, 5682, 1145, 540, 519, 10664, 782, 1472, 721, 3947, 721, 513, 18512, 8686, 32079, 1247, 4509, 602, 12716, 1413, 267, 607, 789, 957, 607, 513, 7154, 540, 2713, 2094, 789, 2285, 721, 5135, 1247, 4509, 12539, 5434, 2157, 616, 849, 14931, 547, 19993, 2157, 1317, 540, 873, 563, 312, 3641, 568, 513, 3636, 2681, 267, 799, 568, 835, 540, 519, 1034, 25343, 4778, 1813, 547, 922, 3636, 1145, 269, 898, 568, 1419, 9228, 607, 513, 27145, 22205, 2681, 269, 2060, 602, 1767, 267, 649, 991, 547, 11760, 519, 1249, 602, 621, 568, 835, 540, 519, 1034, 17615, 4778, 269, 3776, 8226, 540, 621, 607, 513, 3810, 17615, 2681, 568, 1813, 547, 519, 6129, 799, 568, 519, 2101, 2707, 540, 1648, 538, 519, 3859, 1062, 267, 799, 568, 519, 1883, 5057, 602, 814, 10114, 3293, 1272, 593, 938, 4190, 9791, 14136, 563, 10468, 582, 523, 344, 607, 606, 9703, 8888, 4480, 666, 581, 3989, 538, 2241, 2474, 607, 606, 1148, 540, 21179, 908, 1126, 3697, 2934, 547, 2285, 519, 4055, 513, 18512, 1413, 676, 22539, 621, 609, 519, 1648, 540, 513, 1126, 269, 966, 1204, 1299, 25674, 4778, 616, 811, 30326, 1031, 538, 519, 3026, 582, 523, 344, 563, 309, 1204, 27413, 616, 930, 540, 519, 1034, 6422, 4778, 602, 723, 513, 12402, 540, 11423, 909, 519, 2230, 609, 513, 642, 32079, 602, 568, 3810, 7302, 20149, 909, 269, 4303, 676, 1554, 811, 543, 811, 1004, 4782, 513, 4055, 602, 568, 1360, 18512, 543, 17615, 267, 12667, 4778, 723, 6591, 23146, 269, 1452, 4778, 2709, 519, 1747, 513, 1413, 602, 1402, 338, 909, 1360, 1134, 267, 607, 891, 4778, 693, 513, 32436, 1377, 616, 2404, 609, 19630, 2065, 642, 756, 525, 563, 16446, 568, 835, 540, 519, 1034, 12667, 4778, 799, 693, 606, 17499, 1377, 23327, 6612, 585, 721, 269, 898, 568, 1317, 621, 568, 1360, 10565, 267, 12050, 267, 543, 3636, 267, 609, 519, 4102, 15423, 267, 1818, 621, 3750, 2275, 2255, 344, 269, 898, 568, 513, 2681, 602, 2306, 513, 8447, 3465, 775, 609, 12050, 1145, 563, 312, 3641, 568, 513, 1360, 9565, 2681, 602, 568, 1360, 7920, 569, 9565, 269, 898, 6411, 607, 606, 16508, 17832, 3455, 267, 799, 568, 513, 2101, 3007, 3766, 4599, 6883, 2681, 269, 13966, 609, 621, 267, 621, 849, 23327, 19630, 1143, 267, 799, 568, 1317, 950, 649, 1294, 5835, 267, 649, 9305, 621, 547, 519, 6129, 563, 7775, 1052, 568, 835, 540, 519, 1034, 11741, 267, 1134, 1790, 17977, 4778, 799, 10905, 1079, 540, 519, 1034, 3750, 2275, 2255, 344, 3636, 4778, 267, 4414, 1299, 14117, 267, 24254, 1312, 519, 2168, 3007, 10544, 828, 2059, 1818, 606, 3929, 1764, 593, 519, 2247, 540, 519, 7817, 563, 10214, 1498, 519, 7524, 543, 6422, 4778, 616, 513, 1390, 1259, 547, 10544, 519, 3007, 540, 606, 1367, 855, 1018, 547, 798, 950, 811, 982, 835, 7524, 4778, 616, 547, 581, 3769, 538, 519, 1482, 7406, 888, 2414, 4308, 609, 621, 18113, 267, 1101, 540, 782, 267, 649, 1590, 2232, 519, 1249, 602, 7524, 4778, 616, 1360, 14053, 607, 789, 4482, 3007, 3362, 607, 3379, 547, 824, 4778, 269, 1924, 267, 8380, 1927, 1079, 1114, 7524, 12667, 4778, 786, 2014, 6266, 540, 19240, 585, 519, 21951, 269, 9747, 267, 649, 1590, 2119, 547, 2057, 8380, 1927, 1079, 7524, 4778, 538, 519, 1482, 7406, 563, 1432, 649, 666, 798, 547, 2721, 519, 21951, 547, 519, 1292, 3119, 1641, 1247, 519, 6281, 1641, 13978, 16856, 630, 6518, 568, 711, 865, 1271, 855, 2115, 547, 581, 3769, 264, 568, 649, 1058, 946, 12667, 4778, 607, 519, 1292, 1641, 1247, 649, 666, 946, 6281, 5396, 609, 9243, 4778, 547, 1711, 513, 544, 3176, 2681, 5888, 563, 17092, 13263, 2562, 288, 9654, 3198, 29206, 296, 3036, 23370, 22218, 5058, 912, 9928, 663, 20680, 1014, 25181, 27588, 568, 606, 25181, 27588, 26435, 602, 568, 1031, 2066, 10821, 4025, 543, 28737, 269, 898, 568, 835, 540, 519, 1034, 1134, 1634, 25181, 5071, 338, 799, 568, 1634, 585, 922, 8766, 1143, 267, 11029, 946, 540, 544, 3176, 4778, 267, 1818, 621, 835, 540, 519, 1034, 10097, 25181, 5071, 338, 602, 3091, 513, 3810, 10875, 1413, 563, 300, 3176, 27413, 568, 513, 2165, 602, 568, 1031, 547, 14841, 5573, 2677, 18260, 610, 667, 1638, 518, 27413, 269, 634, 1184, 540, 4573, 532, 835, 12667, 2681, 3217, 1747, 950, 519, 12667, 2681, 568, 5916, 609, 9243, 4778, 899, 6519, 267, 22630, 267, 3092, 563, 300, 3176, 7822, 10395, 5209, 899, 21060, 27578, 267, 14117, 5682, 267, 4414, 6519, 267, 9791, 268, 6519, 267, 5682, 268, 6519, 616, 930, 540, 519, 1034, 7986, 2681, 10659, 602, 786, 2744, 811, 8560, 1554, 676, 1554, 563, 10468, 23018, 2051, 1819, 6022, 8291, 912, 10468, 23018, 2051, 1819, 6022, 8291, 568, 835, 540, 519, 1034, 1655, 25252, 1243, 1071, 28175, 915, 609, 544, 3176, 4778, 267, 9117, 607, 606, 7850, 3490, 543, 1818, 519, 1292, 1641, 5031, 538, 519, 3617, 5223, 607, 3379, 547, 519, 1071, 28175, 915, 563, 10468, 23018, 7822, 666, 581, 3989, 607, 513, 2681, 602, 5526, 547, 581, 1510, 2681, 543, 1281, 711, 3335, 2408, 593, 519, 8868, 269, 3026, 23018, 27413, 12484, 826, 6013, 538, 519, 1249, 602, 789, 798, 711, 3747, 607, 1454, 3007, 607, 568, 18796, 676, 12667, 4778, 563, 14937, 281, 4563, 568, 835, 540, 519, 1034, 3309, 4778, 1317, 540, 519, 4763, 540, 922, 3096, 269, 1403, 1031, 5100, 569, 267, 3109, 666, 2709, 721, 606, 17715, 1413, 267, 799, 666, 581, 513, 2101, 3007, 10544, 828, 269, 1306, 513, 9243, 2681, 267, 621, 2488, 519, 7406, 585, 12667, 4778, 563, 294, 2001, 568, 835, 540, 519, 1655, 9243, 4778, 799, 568, 519, 1655, 25252, 1243, 9243, 2681, 538, 25181, 27588, 607, 621, 2488, 513, 3490, 602, 8711, 519, 4778, 540, 519, 3774, 267, 1818, 621, 513, 3810, 9053, 2681, 607, 513, 3490, 2681, 563, 19669, 568, 835, 540, 519, 1034, 1713, 4778, 585, 1034, 1004, 1317, 621, 568, 9228, 538, 1034, 10764, 607, 513, 10143, 2681, 267, 799, 23327, 19454, 269, 898, 568, 711, 513, 2681, 540, 922, 1378, 267, 855, 513, 23314, 540, 782, 519, 4778, 267, 799, 3029, 1950, 1648, 543, 513, 25386, 2361, 540, 1769, 563, 31342, 568, 835, 540, 519, 1034, 896, 3603, 2943, 519, 1034, 2629, 4778, 538, 25181, 27588, 267, 1317, 540, 519, 5705, 30276, 540, 922, 4527, 269, 5221, 540, 602, 267, 621, 8591, 909, 606, 3063, 4494, 540, 9403, 607, 1134, 607, 4334, 269, 634, 5506, 540, 596, 1210, 519, 11647, 267, 519, 11435, 267, 519, 9885, 609, 513, 12094, 540, 6960, 2681, 568, 1360, 1164, 1813, 547, 519, 9403, 543, 4334, 621, 3091, 563, 7712, 4778, 723, 513, 1360, 7096, 1764, 593, 1142, 2460, 540, 938, 2729, 267, 581, 621, 4664, 267, 2790, 1533, 267, 610, 5854, 1049, 4908, 540, 513, 1747, 269, 898, 568, 938, 2816, 607, 606, 25181, 5071, 518, 547, 1374, 519, 1747, 538, 971, 513, 1259, 602, 519, 7817, 568, 693, 519, 8445, 540, 1010, 4313, 1377, 1247, 646, 24172, 568, 972, 693, 713, 1747, 269, 901, 1028, 999, 596, 540, 707, 1279, 3856, 18900, 7817, 25279, 2078, 609, 1864, 267, 646, 666, 1256, 4363, 596, 547, 1010, 29872, 1734, 543, 1010, 9164, 267, 4946, 909, 547, 707, 6075, 3490, 543, 14921, 707, 1378, 12434, 1932, 563, 304, 281, 1548, 568, 519, 19043, 540, 27413, 538, 25181, 27588, 888, 288, 281, 27413, 616, 1360, 1713, 538, 25181, 27588, 1317, 972, 568, 606, 6946, 2078, 1063, 938, 2247, 543, 938, 3308, 17102, 269, 898, 5222, 875, 649, 13498, 2681, 543, 1018, 7553, 568, 15427, 676, 513, 1880, 2681, 563, 304, 281, 1215, 1281, 7822, 10017, 960, 538, 25181, 27588, 888, 288, 281, 7822, 10017, 267, 799, 568, 513, 7936, 540, 6530, 568, 513, 6131, 9015, 602, 2090, 875, 835, 2681, 5222, 610, 12153, 513, 1880, 7553, 563, 304, 281, 1548, 4778, 616, 519, 1655, 14018, 585, 7849, 626, 27484, 25181, 27588, 888, 288, 281, 1924, 5847, 543, 22196, 4778, 899, 9791, 267, 5682, 267, 543, 14117, 616, 930, 540, 519, 1655, 25252, 1243, 4778, 585, 7849, 626, 4798, 538, 25181, 27588, 563, 304, 281, 1548, 4778, 616, 519, 1655, 25252, 1243, 4778, 585, 3026, 582, 523, 344, 538, 25181, 27588, 888, 288, 281, 966, 1204, 4778, 899, 4414, 267, 5682, 267, 14117, 267, 21060, 616, 930, 540, 519, 1655, 25252, 1243, 4778, 585, 3026, 582, 523, 344, 538, 25181, 27588, 563, 304, 281, 1548, 4778, 616, 1655, 14018, 585, 513, 3687, 2711, 626, 6249, 538, 25181, 27588, 888, 288, 281, 3026, 23018, 4778, 899, 6519, 267, 31201, 267, 538, 4999, 609, 4334, 344, 4778, 899, 18707, 540, 6960, 267, 616, 930, 540, 519, 1655, 25252, 1243, 4778, 585, 513, 3687, 2711, 626, 6249, 538, 25181, 27588, 269, 0, 6624, 13746, 543, 29622, 1448, 856, 602, 519, 12178, 547, 1832, 16041, 15963, 538, 2777, 616, 811, 26788, 19042, 982, 519, 2640, 269, 25511, 5208, 22132, 689, 519, 10333, 540, 15963, 267, 855, 2864, 519, 3527, 540, 606, 1367, 602, 814, 23304, 731, 585, 1272, 538, 2221, 1412, 338, 2486, 269, 4340, 547, 513, 8549, 1867, 267, 23436, 631, 269, 1358, 849, 3494, 602, 952, 15963, 941, 17515, 689, 519, 1857, 267, 1287, 5208, 543, 2669, 1131, 6175, 8185, 538, 713, 2197, 269, 1452, 7391, 616, 849, 7784, 1852, 9840, 538, 519, 9962, 563, 763, 3898, 540, 513, 1382, 1957, 849, 5267, 602, 596, 946, 811, 2959, 538, 707, 1382, 982, 538, 513, 2241, 2947, 24733, 4588, 1557, 269, 25511, 1852, 568, 711, 2500, 607, 621, 814, 711, 1044, 3254, 547, 2965, 2569, 519, 1297, 540, 7784, 5829, 10963, 269, 3776, 2528, 814, 2141, 8185, 16941, 593, 15963, 585, 1919, 899, 10122, 267, 3077, 15246, 267, 543, 5631, 2123, 4027, 269, 1358, 3494, 538, 519, 5822, 14821, 547, 7703, 7916, 269, 769, 1250, 10715, 267, 972, 723, 1044, 9118, 7972, 543, 7063, 1813, 547, 7784, 5208, 269, 8074, 602, 476, 28307, 3214, 689, 519, 2085, 540, 476, 1724, 268, 1626, 941, 7166, 676, 15963, 267, 543, 476, 275, 267, 25784, 689, 519, 2085, 540, 476, 1704, 268, 3066, 269, 8409, 2053, 616, 1279, 8854, 950, 513, 7784, 729, 22234, 538, 606, 1931, 547, 1832, 519, 1166, 4169, 540, 2831, 11231, 610, 547, 9856, 519, 16916, 3338, 563, 2252, 596, 1616, 513, 4514, 5813, 883, 1200, 1650, 267, 596, 1522, 607, 1134, 2638, 856, 1200, 1433, 1977, 654, 1057, 281, 589, 6490, 7546, 540, 11146, 267, 2782, 267, 18321, 267, 543, 20622, 531, 269, 4935, 267, 621, 1797, 9444, 4323, 6862, 1007, 6760, 269, 31962, 519, 14026, 950, 596, 941, 10707, 610, 7996, 12341, 6217, 519, 12543, 7234, 7784, 1852, 5294, 543, 931, 269, 17461, 11974, 1131, 1152, 2014, 32462, 1957, 1740, 585, 1346, 2043, 945, 798, 711, 723, 741, 2247, 1305, 593, 15294, 1359, 1453, 269, 595, 543, 9628, 267, 519, 1876, 17049, 519, 9562, 540, 15963, 676, 21127, 269, 4658, 609, 15963, 723, 10692, 543, 4465, 938, 5191, 689, 1082, 1114, 2477, 269, 901, 568, 513, 2243, 602, 513, 709, 4513, 10876, 543, 1100, 2339, 799, 1259, 621, 568, 9763, 519, 15784, 786, 2141, 979, 593, 563, 3682, 338, 543, 3117, 540, 25511, 6513, 723, 1044, 5941, 543, 8499, 9916, 538, 7961, 10179, 762, 2053, 267, 855, 1312, 15156, 543, 17837, 540, 7784, 1852, 723, 12758, 547, 741, 7158, 267, 6028, 519, 3390, 796, 637, 9407, 269, 769, 519, 2376, 267, 25511, 6513, 281, 634, 4279, 10515, 268, 11073, 267, 808, 1563, 7557, 7596, 11339, 827, 606, 1055, 1673, 14280, 1244, 14280, 521, 615, 858, 538, 5842, 21293, 602, 729, 5185, 609, 513, 2147, 3510, 547, 519, 9995, 344, 670, 809, 13357, 267, 2705, 267, 789, 8929, 519, 10419, 15249, 4666, 1354, 19421, 540, 17608, 21127, 1223, 581, 23689, 269, 589, 4214, 1557, 568, 10416, 513, 811, 9450, 4528, 540, 513, 8675, 2376, 269, 15083, 940, 513, 1688, 30516, 568, 835, 540, 519, 1655, 2081, 540, 4027, 950, 1031, 7157, 269, 25511, 6513, 4031, 616, 2556, 538, 513, 1533, 1317, 789, 6175, 5208, 543, 2333, 2229, 4027, 538, 519, 1533, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 267, 4180, 1256, 5986, 543, 11141, 6881, 269, 2913, 781, 1205, 3323, 2439, 1262, 27609, 566, 5384, 5093, 476, 736, 3764, 454, 1262, 290, 8504, 5384, 5093, 476, 3393, 3764, 454, 1262, 13707, 5384, 5093, 476, 272, 5662, 476, 276, 3764, 454, 1262, 306, 969, 902, 5093, 476, 275, 1004, 692, 1262, 28808, 19263, 16001, 265, 476, 275, 1804, 11350, 18717, 630, 1415, 2681, 994, 265, 476, 272, 18470, 630, 14596, 575, 264, 2666, 14132, 610, 23758, 454, 265, 476, 272, 5420, 22323, 267, 29656, 22872, 454, 265, 476, 273, 804, 7174, 13342, 267, 1295, 1027, 454, 265, 476, 272, 7484, 630, 1220, 575, 264, 4608, 10541, 7573, 454, 265, 476, 272, 666, 630, 1691, 12063, 610, 476, 6110, 16720, 264, 546, 5367, 14274, 454, 265, 476, 272, 512, 26138, 630, 1428, 16720, 264, 10448, 3282, 454, 265, 17865, 543, 14723, 267, 547, 6492, 454, 265, 476, 272, 512, 4944, 630, 276, 16720, 264, 13099, 27996, 454, 265, 476, 272, 512, 4944, 630, 276, 16720, 264, 12015, 16163, 2917, 454, 265, 476, 272, 512, 4944, 630, 276, 16720, 264, 12015, 7626, 1146, 334, 454, 265, 476, 272, 7484, 630, 7742, 16720, 264, 1216, 610, 10448, 26185, 454, 265, 717, 3603, 10381, 630, 28436, 2020, 1262, 13420, 3612, 16001, 265, 28981, 4604, 454, 265, 12928, 1057, 454, 265, 14066, 12826, 454, 265, 4787, 32576, 610, 31068, 3443, 454, 265, 8381, 523, 22635, 454, 265, 25732, 11680, 543, 838, 9398, 454, 265, 1975, 520, 3121, 454, 265, 645, 1136, 6656, 610, 22101, 518, 1961, 8670, 454, 265, 1325, 26891, 23240, 692, 1262, 9743, 15297, 16001, 1262, 3721, 476, 272, 281, 8564, 2659, 3212, 13827, 12533, 16521, 2185, 1804, 267, 25144, 21092, 11350, 18717, 585, 707, 2893, 878, 320, 269, 1411, 949, 2824, 1022, 2681, 4999, 596, 899, 1765, 13582, 543, 2699, 1118, 585, 513, 30018, 5920, 269, 5269, 2386, 789, 1796, 20005, 1510, 12902, 1472, 269, 901, 5849, 1697, 8631, 532, 3892, 543, 811, 5812, 11256, 780, 1262, 3721, 476, 273, 281, 8073, 17828, 16199, 1407, 4635, 476, 280, 11862, 13967, 12533, 2414, 10018, 27101, 30556, 267, 649, 3513, 8415, 519, 476, 280, 2274, 770, 8293, 4100, 1230, 845, 531, 10934, 630, 280, 11862, 13967, 264, 4480, 269, 5213, 1405, 11784, 256, 2353, 596, 991, 547, 798, 568, 4952, 12270, 1142, 11350, 14723, 883, 3160, 30556, 2059, 922, 19976, 7852, 1247, 5329, 519, 6565, 16856, 269, 2422, 707, 20932, 1759, 593, 519, 15340, 540, 519, 4829, 3294, 269, 1403, 2877, 267, 2259, 5969, 5594, 17208, 3515, 2394, 8746, 780, 1262, 3721, 476, 274, 281, 11162, 4934, 25994, 543, 6490, 1962, 6951, 12533, 294, 1836, 4894, 5452, 543, 17011, 689, 1312, 5011, 540, 1142, 14723, 3368, 269, 5494, 731, 891, 2694, 610, 4688, 873, 585, 1776, 3483, 952, 5551, 269, 681, 20600, 519, 19345, 14723, 30556, 896, 4411, 4881, 1216, 547, 2327, 782, 11935, 814, 1044, 6569, 269, 4793, 3819, 609, 1957, 28734, 780, 1262, 3721, 476, 275, 281, 2776, 17742, 744, 1597, 12533, 4407, 840, 6137, 519, 11423, 267, 840, 17742, 707, 14089, 547, 476, 23841, 13790, 630, 5002, 9180, 1040, 7412, 513, 11256, 6656, 610, 22101, 518, 1961, 8670, 609, 11956, 23240, 585, 2653, 30749, 2663, 780, 1262, 3721, 476, 276, 281, 13648, 2201, 687, 543, 12275, 997, 12533, 28959, 519, 1236, 32576, 936, 5420, 3002, 543, 1039, 10448, 3282, 269, 5410, 22872, 19637, 543, 3434, 2394, 21352, 539, 543, 6037, 1075, 550, 267, 5111, 2947, 3764, 269, 8921, 267, 13489, 538, 1295, 1027, 13342, 543, 3136, 1094, 583, 2946, 532, 585, 835, 8792, 610, 2394, 29549, 780, 1262, 3721, 476, 277, 281, 28799, 674, 3739, 23123, 12533, 9558, 2536, 11273, 19637, 543, 13342, 547, 513, 1804, 11544, 12826, 269, 1677, 519, 1482, 12826, 267, 1039, 2666, 5779, 267, 7573, 267, 546, 5367, 14274, 630, 5976, 10433, 1070, 6070, 267, 14723, 267, 13099, 27996, 267, 16163, 2917, 267, 7626, 1146, 334, 267, 543, 1216, 610, 10448, 26185, 269, 17186, 1134, 2394, 8499, 5916, 780, 1262, 3721, 476, 278, 281, 19130, 3212, 3899, 16199, 1407, 12533, 19667, 728, 519, 11423, 7848, 8449, 1851, 519, 5216, 5423, 11350, 14723, 30556, 269, 4964, 1524, 9900, 547, 11741, 519, 11423, 3330, 1142, 3368, 267, 2870, 513, 1377, 2627, 269, 9255, 4904, 14723, 30556, 5196, 519, 20898, 11256, 6656, 610, 22101, 518, 1961, 8670, 780, 1262, 3721, 476, 279, 281, 15147, 543, 645, 820, 12533, 299, 5366, 569, 3382, 519, 11256, 26745, 610, 22101, 518, 1961, 8670, 609, 11956, 23240, 269, 645, 820, 585, 476, 1789, 3764, 4988, 267, 1287, 10625, 543, 27106, 585, 3606, 476, 1428, 3764, 610, 2394, 25568, 1831, 11344, 6960, 543, 5743, 6853, 269, 26840, 958, 20057, 548, 1989, 730, 10381, 593, 1283, 1282, 519, 2063, 1906, 3764, 540, 11256, 780, 1262, 3721, 476, 280, 281, 31160, 543, 17949, 12533, 5629, 2944, 267, 5402, 4483, 2893, 878, 320, 547, 7674, 10824, 543, 2972, 3905, 7258, 4195, 25235, 267, 12933, 344, 3694, 267, 610, 824, 5172, 2427, 8286, 269, 12844, 813, 18863, 527, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3719, 909, 3562, 15082, 10492, 540, 4444, 666, 2291, 1031, 998, 8009, 269, 476, 4375, 282, 1684, 762, 10913, 540, 21903, 1673, 7371, 2454, 519, 2626, 676, 2731, 476, 866, 11222, 267, 855, 519, 6990, 16798, 1063, 476, 1001, 273, 543, 476, 1001, 274, 10805, 741, 4162, 676, 476, 6321, 1753, 267, 14970, 3163, 1185, 269, 6744, 3366, 519, 2152, 540, 4867, 476, 5655, 267, 10384, 27121, 538, 476, 1001, 275, 267, 5356, 602, 972, 887, 1372, 8185, 476, 1724, 4238, 829, 476, 1911, 267, 1822, 2828, 538, 519, 2136, 2276, 602, 1523, 269, 898, 9782, 519, 4013, 11049, 642, 540, 1852, 538, 519, 2136, 2276, 267, 1382, 282, 4099, 676, 3135, 267, 799, 1336, 865, 476, 1724, 267, 1822, 561, 643, 4592, 602, 2189, 1592, 269, 1280, 25161, 4444, 2486, 7972, 267, 519, 1753, 540, 519, 2627, 723, 6101, 547, 9380, 269, 898, 15920, 547, 513, 6273, 1858, 609, 513, 12813, 312, 273, 2458, 720, 263, 693, 2547, 1079, 3099, 616, 547, 946, 1044, 547, 1265, 513, 2009, 3902, 1070, 799, 28352, 2417, 7680, 540, 519, 9936, 5108, 269, 589, 2009, 20476, 664, 11339, 607, 23689, 676, 713, 8289, 269, 476, 280, 2274, 770, 8293, 4100, 1230, 845, 531, 21476, 269, 9406, 2865, 281, 4332, 6073, 269, 1323, 1101, 1007, 339, 729, 9138, 676, 20568, 1696, 620, 269, 898, 12958, 513, 3791, 8473, 5679, 527, 593, 606, 3010, 13914, 540, 513, 2140, 585, 513, 14392, 2376, 1369, 519, 6389, 540, 834, 289, 1779, 534, 28690, 257, 607, 851, 540, 834, 23733, 1315, 13636, 1299, 8836, 1315, 4937, 257, 602, 1223, 581, 1644, 547, 519, 1349, 1657, 269, 3973, 2328, 476, 513, 1279, 543, 1360, 2143, 5850, 827, 519, 2140, 596, 8359, 267, 538, 519, 2511, 540, 15825, 269, 634, 1543, 1058, 723, 519, 1739, 3898, 281, 7170, 23901, 12133, 25776, 21234, 285, 1007, 1899, 2999, 12133, 25996, 25606, 20101, 1684, 711, 1039, 1022, 3063, 1257, 7713, 1946, 596, 8359, 519, 2140, 563, 2521, 547, 1384, 268, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 563, 268, 3550, 9355, 543, 16566, 538, 519, 15825, 5850, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 563, 268, 7994, 513, 13598, 2140, 602, 3085, 1405, 1445, 593, 13061, 1344, 538, 519, 1357, 1349, 269, 0, 3848, 281, 10289, 30248, 998, 3203, 543, 11873, 692, 5970, 596, 2479, 5433, 8909, 1317, 596, 14406, 2576, 2027, 945, 3884, 1405, 1472, 15042, 286, 2107, 5310, 596, 4810, 519, 7772, 540, 6104, 5109, 1945, 1007, 543, 4941, 547, 2671, 707, 8788, 609, 1866, 286, 2353, 891, 4606, 616, 851, 540, 938, 3929, 15322, 2429, 1272, 269, 6884, 267, 649, 1265, 621, 2182, 547, 2322, 1913, 547, 938, 4664, 267, 855, 972, 616, 1082, 2081, 547, 2769, 873, 256, 4653, 267, 1577, 781, 4685, 883, 3695, 835, 2189, 1259, 1004, 2671, 741, 4606, 1210, 1148, 543, 3350, 780, 25603, 5981, 8065, 580, 5674, 267, 513, 16805, 7376, 945, 3096, 1200, 1560, 5322, 543, 1688, 17267, 547, 2995, 2984, 543, 6655, 2620, 4664, 269, 2701, 2813, 513, 4190, 4062, 1572, 834, 4462, 325, 987, 558, 762, 2437, 799, 7710, 1200, 2123, 3460, 540, 9561, 1200, 11537, 4651, 1247, 1352, 729, 513, 6280, 2875, 269, 4014, 713, 949, 3280, 899, 513, 2352, 1641, 267, 2523, 585, 7820, 3988, 267, 1810, 1405, 5855, 256, 1284, 786, 1445, 593, 1620, 875, 5159, 666, 946, 741, 4703, 547, 5968, 1114, 4664, 543, 2833, 780, 5331, 1373, 2111, 547, 2911, 827, 707, 4606, 1175, 676, 3001, 707, 3946, 543, 1560, 256, 2334, 781, 1018, 5981, 1281, 538, 834, 4462, 325, 987, 558, 762, 2668, 1635, 2519, 593, 1200, 3946, 543, 11263, 267, 1352, 20217, 721, 883, 1200, 1158, 1765, 821, 4904, 609, 8823, 267, 2648, 267, 543, 7067, 269, 1306, 649, 4585, 1200, 1685, 267, 649, 1376, 547, 1745, 27153, 538, 513, 695, 20810, 532, 14015, 7045, 1141, 1169, 5163, 6645, 513, 1650, 269, 2913, 781, 1451, 811, 827, 875, 5981, 31825, 1950, 4555, 543, 4606, 1510, 6340, 2439, 20058, 267, 5469, 519, 3877, 540, 1200, 3946, 543, 11263, 269, 5620, 596, 2479, 6743, 5702, 693, 707, 9491, 1716, 5661, 610, 519, 1507, 24827, 593, 707, 21015, 286, 1879, 649, 2628, 3007, 547, 1256, 519, 17646, 5006, 2934, 540, 6000, 267, 789, 1831, 3532, 2645, 585, 4082, 269, 6056, 827, 5373, 513, 4605, 610, 2870, 513, 7544, 6296, 269, 18786, 609, 2241, 2609, 2636, 721, 547, 1628, 2390, 1346, 9238, 2394, 938, 5137, 7959, 2347, 269, 6684, 267, 950, 5981, 6212, 593, 1200, 3946, 543, 11263, 267, 1352, 5932, 513, 2178, 5748, 585, 4687, 1200, 4514, 4664, 780, 9202, 267, 2015, 519, 4276, 1063, 5905, 543, 3965, 269, 5994, 8066, 707, 5172, 11442, 267, 4620, 1154, 513, 2571, 24120, 267, 610, 554, 19982, 2576, 596, 1416, 827, 269, 3776, 2631, 540, 5905, 2337, 3337, 938, 973, 565, 27928, 543, 12205, 609, 1978, 3615, 610, 8090, 269, 1280, 1383, 267, 952, 596, 4413, 4730, 3544, 1282, 4832, 16314, 267, 19551, 519, 14246, 540, 519, 3141, 593, 707, 2960, 1522, 3142, 1394, 6126, 4606, 269, 769, 834, 4462, 325, 987, 558, 762, 2580, 5981, 3096, 28241, 4296, 547, 18427, 8823, 540, 1200, 3735, 4651, 543, 2263, 1200, 16236, 269, 4634, 1498, 646, 568, 1100, 3476, 9308, 1459, 267, 15700, 1200, 2960, 267, 4552, 267, 610, 824, 15629, 10291, 948, 1832, 1010, 6891, 9800, 1369, 1200, 2295, 543, 2247, 780, 15563, 267, 7747, 875, 1454, 4674, 4422, 883, 1142, 23972, 1500, 676, 5981, 269, 5272, 1000, 3558, 540, 1200, 9416, 267, 18846, 540, 1200, 5679, 22976, 267, 610, 10137, 540, 1200, 6186, 11438, 2495, 269, 898, 3217, 2259, 543, 11428, 547, 4487, 971, 5730, 1852, 936, 835, 781, 1560, 269, 1717, 267, 3314, 602, 3025, 6238, 12341, 256, 1411, 1223, 2253, 8026, 1318, 1631, 676, 9878, 6251, 3007, 547, 707, 1378, 5322, 1247, 7900, 4948, 4247, 269, 18564, 875, 11029, 10593, 538, 14302, 543, 17568, 1689, 519, 1259, 596, 2170, 609, 707, 10450, 269, 3683, 942, 267, 3384, 4656, 540, 707, 2168, 640, 786, 1291, 547, 3152, 2702, 547, 900, 1774, 998, 3527, 780, 1103, 3932, 267, 5159, 899, 5981, 8065, 580, 5674, 1397, 721, 602, 2792, 3085, 1405, 2141, 2154, 9275, 1893, 269, 3414, 6297, 8343, 540, 938, 4703, 543, 20982, 5079, 3823, 3350, 267, 649, 1932, 666, 2671, 1950, 4664, 543, 6386, 609, 1346, 1472, 721, 269, 6787, 15472, 267, 7206, 267, 610, 3274, 3221, 532, 609, 2828, 267, 2760, 7340, 519, 1379, 4371, 1369, 707, 10545, 20517, 269, 2991, 782, 267, 3006, 6031, 1447, 14753, 12531, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 7419, 293, 26059, 6865, 21764, 281, 11550, 289, 5058, 670, 8582, 9215, 700, 25893, 23166, 670, 2207, 4888, 290, 12239, 27633, 910, 589, 667, 7417, 303, 667, 25893, 5442, 563, 3528, 570, 20632, 11831, 656, 344, 928, 454, 2171, 616, 6537, 16111, 883, 713, 13035, 21088, 960, 676, 5981, 8065, 580, 5674, 779, 22192, 11263, 543, 3946, 1107, 2673, 13522, 540, 1200, 18969, 282, 1200, 2960, 282, 519, 6263, 267, 13692, 6438, 24827, 593, 1200, 21389, 1235, 282, 519, 20057, 1782, 540, 1954, 1188, 956, 269, 4173, 3946, 543, 11263, 561, 675, 721, 883, 513, 1216, 23752, 10444, 1995, 267, 606, 7634, 883, 875, 547, 6330, 513, 16236, 3460, 267, 519, 7184, 1922, 3881 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 7438, 7815, 568, 1427, 26167, 883, 519, 26083, 585, 21409, 621, 568, 2352, 547, 10646, 689, 519, 6673, 290, 4528, 269, 1703, 568, 513, 12284, 540, 2185, 269, 630, 275, 264, 966, 290, 3722, 670, 5588, 630, 12901, 328, 2389, 1678, 264, 772, 26774, 476, 8517, 269, 901, 13143, 2203, 568, 538, 3028, 609, 1627, 20345, 269, 30259, 849, 814, 476, 1240, 1949, 269, 898, 814, 513, 661, 23757, 1170, 850, 772, 26774, 476, 8517, 2881, 4958, 609, 2185, 4712, 4817, 5442, 476, 4962, 274, 276, 454, 1729, 2000, 320, 4875, 670, 5588, 28862, 269, 6271, 476, 1626, 28862, 616, 538, 15395, 538, 519, 26083, 269, 898, 814, 513, 2185, 17907, 12284, 269, 630, 276, 264, 966, 5723, 681, 2969, 3722, 543, 966, 5723, 589, 2316, 6369, 269, 1452, 1079, 966, 5723, 338, 616, 538, 3943, 25044, 1036, 9323, 540, 6186, 1819, 15523, 269, 634, 3943, 8136, 849, 814, 11028, 18590, 27805, 6425, 609, 519, 966, 5723, 681, 3008, 3951, 2666, 13178, 16986, 269, 634, 966, 5723, 681, 2969, 3722, 568, 513, 5985, 20590, 16986, 1062, 585, 2361, 25044, 543, 814, 513, 476, 736, 10275, 332, 2039, 28576, 16980, 16986, 593, 519, 8122, 269, 589, 11718, 568, 593, 519, 1318, 2427, 540, 519, 26083, 269, 589, 2947, 17907, 12284, 2882, 1079, 16986, 12427, 543, 835, 5925, 11346, 269, 634, 966, 5723, 589, 2316, 6369, 568, 513, 5985, 13128, 1239, 6771, 1062, 19034, 856, 607, 513, 5985, 1239, 7658, 30112, 4099, 585, 1585, 4971, 2022, 2157, 269, 630, 277, 264, 966, 5723, 7193, 630, 8333, 663, 27990, 1040, 901, 568, 513, 2596, 966, 5723, 609, 4786, 15236, 543, 3606, 10618, 3937, 267, 11438, 513, 12284, 540, 3670, 269, 898, 568, 1031, 607, 513, 3595, 4287, 4099, 630, 309, 5723, 674, 17584, 264, 543, 4464, 8343, 11464, 6174, 630, 309, 5723, 29332, 302, 1070, 9117, 607, 851, 540, 519, 589, 2316, 6369, 1062, 269, 898, 849, 4410, 338, 2694, 540, 519, 681, 3951, 288, 10618, 1062, 269, 630, 278, 264, 966, 5723, 28298, 269, 901, 2203, 814, 10618, 3937, 609, 16295, 585, 519, 12427, 269, 898, 568, 849, 1031, 585, 519, 681, 3951, 288, 4201, 11703, 21091, 28298, 8416, 269, 630, 279, 264, 23910, 27990, 269, 595, 6817, 519, 966, 5723, 2637, 773, 267, 713, 4528, 540, 519, 966, 5723, 11438, 11653, 3937, 543, 513, 12285, 546, 532, 344, 593, 519, 8122, 269, 1703, 568, 513, 12284, 540, 8370, 269, 630, 280, 264, 18329, 2782, 11071, 27990, 269, 595, 6817, 519, 645, 668, 675, 267, 713, 2203, 814, 513, 555, 516, 17507, 12284, 609, 5907, 21351, 11071, 3937, 693, 519, 15493, 269, 630, 1015, 264, 966, 5723, 5842, 7534, 790, 630, 288, 3387, 592, 766, 1040, 901, 796, 28534, 4528, 11438, 476, 275, 6907, 7815, 610, 476, 1015, 27206, 2550, 267, 610, 476, 273, 6907, 7815, 543, 476, 276, 27206, 2550, 269, 898, 814, 2011, 8410, 1288, 532, 543, 1101, 4660, 3937, 269, 630, 1556, 264, 966, 19616, 630, 1103, 4156, 8232, 27990, 1040, 634, 19094, 545, 2544, 632, 1530, 2017, 924, 13143, 2203, 568, 19034, 609, 1585, 1769, 6186, 3512, 19698, 269, 898, 949, 723, 513, 11511, 639, 582, 6441, 334, 790, 7144, 4471, 570, 299, 296, 476, 7367, 589, 609, 513, 278, 269, 7830, 2173, 332, 3684, 7784, 267, 610, 519, 11511, 639, 582, 6441, 334, 790, 7144, 4471, 570, 299, 296, 476, 7367, 717, 2881, 4958, 269, 589, 17453, 21677, 268, 2193, 2130, 16405, 568, 538, 4395, 269, 898, 814, 2027, 4027, 1996, 20703, 582, 990, 15483, 339, 5661, 269, 769, 519, 15493, 543, 5011, 616, 2027, 20590, 16788, 609, 5075, 7161, 269, 898, 814, 513, 561, 10796, 701, 6033, 1062, 543, 18593, 3937, 971, 607, 4395, 2173, 870, 539, 3094, 577, 267, 22865, 267, 2011, 30690, 267, 543, 2234, 3930, 269, 26512, 667, 4725, 328, 814, 513, 1297, 540, 891, 269, 630, 1321, 264, 966, 26774, 476, 6344, 630, 300, 677, 541, 570, 12976, 27990, 1040, 901, 19094, 545, 2544, 570, 847, 16725, 632, 18200, 1512, 6287, 338, 513, 774, 1682, 517, 5174, 8681, 339, 476, 6344, 2173, 332, 27341, 267, 814, 513, 3670, 17907, 12284, 267, 543, 513, 570, 299, 296, 476, 7367, 589, 2881, 4958, 693, 519, 4395, 269, 634, 6174, 11438, 476, 3583, 27341, 23038, 269, 630, 1724, 264, 966, 15014, 476, 10037, 630, 300, 677, 541, 2961, 8175, 1040, 901, 2203, 814, 606, 476, 10037, 2173, 332, 27341, 602, 11642, 998, 513, 1079, 12268, 6679, 538, 519, 8122, 269, 1627, 20345, 3096, 713, 4528, 538, 513, 476, 277, 1535, 476, 277, 12122, 609, 513, 476, 278, 269, 7830, 2173, 332, 3684, 7784, 2881, 4958, 538, 4395, 269, 630, 1691, 264, 966, 5723, 715, 6195, 26532, 18590, 27990, 269, 595, 6817, 519, 966, 5723, 1234, 1723, 267, 713, 4528, 814, 6046, 2887, 719, 8596, 543, 513, 3126, 540, 3457, 547, 2445, 543, 5659, 3114, 8069, 689, 3330, 540, 519, 6174, 269, 898, 1058, 581, 3812, 538, 476, 1960, 273, 269, 476, 9834, 5442, 476, 4962, 274, 276, 454, 263, 1428, 264, 3828, 514, 476, 736, 2173, 332, 590, 5183, 8980, 269, 634, 744, 2006, 328, 9576, 15050, 814, 8370, 966, 5723, 476, 277, 1535, 476, 277, 6472, 609, 519, 18329, 5395, 613, 667, 817, 5435, 835, 17907, 476, 736, 2173, 332, 2881, 4958, 585, 946, 538, 2011, 8878, 269, 8422, 540, 891, 616, 849, 9280, 609, 16986, 269, 536, 269, 23779, 17972, 269, 634, 1883, 6284, 2934, 616, 607, 5205, 281, 3040, 3040, 3040, 25351, 9771, 26083, 269, 18671, 660, 9224, 269, 5565, 610, 1614, 1804, 14743, 609, 12285, 18646, 593, 1142, 2427, 563, 322, 269, 27990, 18567, 269, 634, 3943, 8136, 814, 519, 2596, 2203, 476, 275, 1535, 476, 275, 966, 5723, 966, 22721, 630, 309, 12317, 545, 2544, 13255, 632, 24410, 701, 1040, 898, 814, 513, 12284, 540, 476, 273, 630, 5570, 6387, 8276, 22389, 7784, 1676, 543, 9920, 264, 543, 6585, 476, 1015, 4628, 25668, 5792, 26462, 5443, 269, 634, 966, 5723, 814, 606, 782, 2914, 601, 4765, 5374, 26083, 585, 1507, 268, 15767, 4027, 269, 2311, 519, 4395, 2451, 568, 519, 9920, 269, 1677, 1010, 1318, 568, 519, 19524, 8276, 22389, 7784, 1676, 269, 5637, 723, 513, 2427, 7450, 6679, 547, 519, 4395, 269, 634, 7450, 814, 513, 16886, 31383, 6885, 799, 568, 26523, 539, 693, 519, 1283, 538, 922, 5580, 851, 269, 634, 6885, 10741, 21286, 543, 666, 581, 4988, 609, 513, 9505, 614, 269, 1261, 730, 16886, 31383, 2842, 3333, 3658, 538, 4395, 723, 513, 1166, 777, 26523, 539, 693, 519, 1283, 269, 3683, 519, 9920, 568, 513, 4395, 19945, 2287, 24011, 3382, 269, 634, 19524, 814, 513, 15914, 476, 278, 269, 7830, 2173, 332, 3684, 7784, 4410, 269, 19992, 519, 9920, 568, 519, 2599, 26654, 602, 814, 2011, 29504, 543, 17752, 21514, 951, 593, 519, 8122, 267, 543, 606, 9688, 10612, 4881, 2059, 519, 1283, 540, 519, 26083, 593, 519, 1318, 2427, 269, 589, 8574, 3118, 593, 519, 1318, 2427, 540, 519, 26083, 13462, 519, 12284, 26654, 609, 519, 10986, 26654, 269, 32691, 5443, 4283, 543, 4734, 519, 966, 5723, 998, 513, 5595, 7450, 1510, 513, 3844, 30361, 693, 519, 15493, 540, 519, 26083, 269, 3962, 7450, 814, 513, 6885, 6679, 547, 519, 3544, 543, 4988, 676, 606, 6186, 1819, 9505, 614, 269, 32691, 5443, 1694, 593, 14541, 16295, 2059, 2901, 2427, 540, 519, 26083, 269, 769, 519, 5011, 616, 1614, 9486, 602, 1930, 547, 519, 3544, 543, 616, 4988, 676, 6186, 1819, 9505, 1562, 269, 18858, 3591, 666, 946, 891, 547, 3595, 1507, 7916, 269, 1703, 616, 1614, 4395, 19945, 2287, 11058, 2583, 936, 519, 7708, 641, 26654, 269, 634, 26654, 568, 476, 273, 269, 5379, 7397, 1279, 267, 476, 272, 269, 23841, 7397, 2647, 543, 476, 272, 269, 3374, 7397, 1164, 269, 1530, 1846, 666, 581, 3533, 25649, 909, 585, 18535, 909, 547, 476, 273, 267, 1822, 4846, 269, 634, 3943, 8136, 849, 3096, 519, 966, 5723, 585, 631, 6579, 3198, 4550, 2389, 1678, 6887, 269, 8838, 1308, 3937, 2882, 606, 2011, 8410, 1288, 532, 1062, 267, 6186, 1819, 575, 1066, 1228, 12235, 518, 26372, 267, 20590, 7784, 2823, 609, 7533, 8343, 2823, 267, 3154, 7006, 27660, 267, 715, 6195, 1062, 630, 20598, 585, 3943, 8136, 1070, 18342, 610, 12809, 3781, 5075, 3937, 267, 1857, 2232, 1062, 267, 543, 513, 476, 278, 267, 1822, 10275, 326, 4395, 2173, 870, 539, 3094, 577, 269, 634, 966, 5723, 568, 4628, 19917, 1190, 269, 898, 814, 1079, 1216, 32062, 693, 519, 15493, 540, 519, 26083, 267, 1142, 19034, 609, 513, 1219, 937, 528, 585, 23376, 543, 9258, 19876, 269, 6969, 10024, 519, 1216, 267, 519, 12284, 7140, 593, 519, 21536, 613, 15450, 543, 16245, 338, 519, 16013, 642, 2033, 593, 519, 6367, 540, 519, 6174, 269, 2311, 1459, 267, 711, 782, 540, 519, 3943, 966, 5723, 338, 616, 9280, 609, 1216, 32062, 269, 12763, 906, 265, 595, 4319, 267, 476, 273, 10426, 12310, 267, 476, 1015, 4762, 580, 4851, 267, 476, 275, 1535, 476, 275, 476, 9032, 25397, 267, 476, 273, 269, 271, 3374, 7397, 24747, 19668, 267, 476, 274, 1496, 272, 269, 276, 910, 476, 272, 269, 276, 316, 7397, 5442, 476, 4962, 274, 276, 454, 314, 277, 1535, 476, 277, 316, 13379, 267, 476, 1724, 267, 1822, 1496, 1691, 267, 1220, 316, 4846, 20099, 267, 476, 276, 269, 7176, 7397, 654, 5954, 267, 476, 273, 269, 5392, 7397, 27551, 267, 476, 273, 7397, 16140, 24999, 267, 476, 271, 269, 275, 7397, 454, 11854, 539, 267, 4155, 267, 476, 10844, 5998, 10774, 17726, 267, 1216, 267, 476, 278, 5998, 10774, 23556, 4390, 267, 476, 4968, 20990, 16186, 267, 476, 272, 267, 1822, 5998, 454, 265, 11854, 322, 5874, 8612, 676, 4009, 23049, 476, 616, 585, 476, 277, 1535, 476, 277, 8848, 13894, 6472, 269, 546, 269, 27990, 7167, 3809, 269, 634, 966, 5723, 666, 3040, 3040, 3040, 3040, 3040, 3444, 513, 476, 272, 2173, 2678, 29503, 630, 277, 1535, 476, 277, 1152, 1040, 4410, 513, 1547, 276, 2173, 2678, 7299, 1900, 269, 18214, 513, 476, 2004, 12656, 1417, 3446, 269, 18214, 513, 476, 3374, 12656, 1417, 2427, 9386, 269, 585, 323, 19917, 13124, 563, 324, 269, 14022, 3512, 18567, 269, 14022, 3512, 585, 519, 966, 5723, 9775, 269, 7351, 2504, 3631, 585, 519, 3943, 8136, 1331, 513, 476, 1321, 269, 278, 2173, 332, 631, 273, 3684, 7784, 269, 2368, 8747, 723, 513, 476, 278, 269, 7830, 2173, 332, 3684, 7784, 4410, 269, 2368, 8747, 723, 670, 5588, 11083, 294, 310, 338, 267, 930, 723, 513, 476, 1839, 2173, 332, 666, 12061, 543, 835, 476, 278, 269, 7830, 2173, 332, 3684, 7784, 267, 930, 723, 513, 476, 736, 2173, 332, 666, 12061, 267, 1247, 1869, 1866, 723, 606, 476, 10037, 2173, 332, 27341, 269, 535, 269, 18831, 4419, 539, 269, 634, 966, 5723, 568, 538, 3028, 538, 519, 1739, 2477, 281, 5696, 2317, 328, 6239, 3979, 6243, 30259, 5333, 594, 341, 800, 11076, 26288, 24381, 527, 3780, 25448, 744, 2006, 1627, 20345, 2136, 6259, 2506, 29521, 454, 763, 966, 5723, 568, 849, 538, 3028, 538, 824, 3768, 529, 743, 2216, 2477, 267, 1519, 930, 538, 519, 5664, 5101, 269, 476, 279, 269, 962, 303, 268, 2412, 279, 14022, 1819, 12287, 6773, 2961, 8175, 630, 301, 5930, 4133, 264, 630, 8201, 476, 273, 268, 279, 1040, 769, 476, 2735, 275, 519, 13814, 8136, 1185, 5216, 10627, 2145, 687, 540, 962, 303, 268, 2412, 279, 338, 267, 855, 782, 941, 1813, 547, 581, 943, 1078, 856, 676, 2735, 280, 269, 1358, 616, 1373, 8719, 676, 674, 10157, 6186, 1819, 26462, 8165, 6174, 630, 288, 9281, 309, 1070, 1572, 519, 962, 11266, 476, 278, 4792, 676, 519, 13814, 8136, 269, 5080, 514, 600, 814, 12866, 962, 303, 268, 2412, 279, 338, 269, 634, 962, 303, 2412, 279, 6673, 290, 6039, 538, 26288, 1141, 621, 729, 13556, 3043, 585, 6167, 10136, 269, 3509, 962, 303, 268, 2412, 279, 338, 616, 1373, 1201, 7875, 1639, 585, 13143, 563, 8201, 476, 273, 268, 279, 269, 962, 303, 268, 2412, 279, 630, 279, 1535, 476, 279, 264, 6673, 290, 269, 513, 269, 7352, 1218, 269, 1703, 616, 1896, 14726, 540, 519, 962, 303, 268, 2412, 279, 269, 1452, 616, 5941, 538, 519, 1739, 1016, 1706, 4588, 338, 269, 630, 272, 264, 623, 310, 296, 4149, 263, 16165, 1040, 623, 1218, 518, 654, 10402, 5606, 534, 614, 773, 21178, 7701, 731, 630, 294, 549, 788, 264, 568, 519, 10656, 25084, 585, 519, 2596, 6673, 290 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1353, 454, 4537, 2033, 12374, 513, 13319, 1310, 11744, 5718, 1983, 269, 2701, 568, 606, 5140, 3868, 1807, 543, 513, 9952, 1966, 24626, 269, 1744, 2033, 5012, 519, 2319, 547, 4194, 8519, 6455, 543, 20387, 6075, 5360, 1622, 1927, 609, 513, 2319, 9967, 540, 824, 5520, 269, 1744, 2033, 779, 6881, 1274, 985, 1200, 513, 13319, 269, 634, 2319, 2818, 3845, 2933, 269, 4256, 2623, 2509, 1744, 2033, 2242, 1932, 269, 634, 1007, 2990, 4025, 1744, 2033, 693, 513, 6251, 1377, 609, 1200, 20148, 23723, 320, 1141, 741, 2078, 568, 2693, 547, 581, 4299, 563, 4537, 2033, 779, 2773, 538, 519, 2016, 4305, 4667, 547, 581, 519, 4493, 585, 519, 13319, 269, 634, 2359, 814, 6015, 538, 1010, 2702, 547, 581, 519, 6205, 269, 634, 1964, 540, 519, 2319, 949, 13498, 602, 1744, 2033, 729, 2016, 5491, 585, 519, 2319, 779, 3646, 269, 21344, 540, 1379, 538, 519, 3919, 786, 2154, 2792, 689, 519, 9972, 2359, 547, 2057, 21390, 563, 305, 599, 12107, 519, 9614, 1058, 723, 1500, 513, 27792, 540, 1744, 2033, 779, 1007, 2990, 543, 7150, 1018, 2470, 540, 2078, 609, 519, 824, 9946, 786, 581, 4397, 269, 1744, 2033, 666, 11168, 519, 2319, 779, 4674, 602, 729, 513, 1967, 543, 5000, 2319, 960, 538, 1010, 1007, 2990, 607, 789, 2226, 519, 2319, 6891, 563, 22117, 532, 543, 16882, 2013, 1353, 454, 294, 841, 729, 21534, 538, 513, 5663, 2754, 607, 606, 5604, 543, 2504, 9614, 269, 32632, 729, 1200, 28643, 543, 519, 2030, 9614, 269, 769, 1200, 1007, 5604, 267, 1352, 19927, 602, 5520, 941, 28537, 269, 918, 4331, 835, 540, 519, 5520, 1131, 2097, 3735, 267, 4584, 2123, 7125, 543, 7662, 1866, 547, 2626, 519, 7125, 538, 519, 5604, 563, 299, 14019, 7152, 27025, 8351, 609, 918, 4331, 779, 2623, 538, 519, 5604, 269, 717, 841, 19230, 918, 4331, 855, 267, 972, 729, 1100, 1689, 538, 1200, 4356, 5103, 3478, 9963, 540, 26694, 689, 717, 841, 269, 1879, 918, 4331, 729, 17991, 267, 1352, 4682, 547, 32632, 779, 5604, 543, 1310, 513, 1279, 6643, 282, 32632, 1767, 918, 4331, 729, 711, 17991, 563, 1103, 1776, 8257, 267, 717, 841, 1500, 2242, 543, 519, 28643, 7395, 27932, 267, 8959, 547, 28111, 269, 7395, 27932, 7000, 547, 717, 841, 602, 1352, 1223, 1152, 1491, 5528, 689, 32632, 269, 901, 2451, 717, 841, 4743, 14944, 1441, 269, 717, 841, 1927, 609, 32632, 10288, 7727, 585, 2504, 269, 32632, 729, 15034, 717, 841, 540, 19280, 267, 513, 4305, 602, 32632, 568, 538, 5279, 540, 563, 763, 2591, 717, 841, 568, 6849, 666, 581, 7753, 952, 32632, 267, 519, 20148, 12374, 3972, 543, 6015, 593, 717, 841, 269, 1703, 1058, 581, 9355, 538, 519, 15796, 267, 543, 519, 9021, 581, 5693, 13890, 269, 13245, 3347, 666, 581, 3964, 936, 942, 269, 9442, 1058, 581, 15091, 269, 634, 10083, 540, 717, 841, 2990, 666, 581, 2808, 543, 1287, 519, 8989, 2078, 581, 25250, 856, 563, 6097, 547, 31541, 2006, 543, 4354, 337, 718, 630, 1220, 272, 267, 533, 269, 476, 3953, 264, 4655, 2359, 1983, 616, 1271, 538, 1169, 10721, 2359, 269, 18366, 2359, 5161, 540, 16395, 602, 1291, 547, 6876, 269, 18366, 2359, 10597, 2318, 4093, 543, 6971, 2942, 5222, 3238, 538, 7526, 269, 4762, 26555, 666, 581, 3927, 7307, 952, 513, 3666, 1063, 4145, 585, 1582, 543, 4145, 585, 1866, 616, 7059, 269, 21988, 4655, 2359, 5012, 547, 1732, 2164, 269, 9442, 568, 606, 2500, 5057, 540, 4655, 2359, 563, 3725, 327, 630, 1001, 272, 267, 533, 269, 476, 272, 264, 19528, 602, 2319, 2679, 568, 606, 2534, 602, 3322, 30070, 5520, 547, 960, 607, 513, 2319, 543, 547, 2070, 519, 2640, 540, 2319, 960, 607, 741, 2123, 2640, 269, 12243, 2679, 568, 513, 6024, 1184, 602, 3340, 7589, 540, 1169, 2319, 4759, 269, 634, 2319, 568, 30039, 607, 513, 1895, 563, 10870, 7774, 543, 4797, 3646, 616, 2838, 585, 1169, 4759, 568, 1500, 547, 1174, 519, 1967, 540, 519, 2319, 568, 741, 1967, 269, 17553, 3853, 543, 7393, 2792, 616, 1271, 3344, 538, 519, 2319, 2679, 269, 12243, 2818, 666, 2697, 609, 519, 2319, 779, 1967, 543, 2744, 8404, 269, 12243, 2818, 1058, 581, 1500, 547, 1174, 602, 741, 5916, 3646, 786, 6556, 1732, 2164, 982, 2043, 960, 563, 22117, 11429, 543, 16882, 20674, 538, 2810, 4398, 538, 519, 3919, 269, 589, 6205, 3112, 581, 2111, 547, 798, 782, 4247, 1510, 519, 6351, 540, 741, 1016, 24002, 269, 589, 6205, 30896, 960, 547, 581, 2111, 547, 12492, 519, 10721, 3853, 269, 589, 6205, 666, 18663, 543, 7668, 1866, 547, 9585, 4247, 563, 5445, 991, 547, 3972, 543, 581, 8746, 602, 789, 786, 581, 2111, 547, 3035, 519, 5551, 2164, 543, 1489, 873, 950, 789, 991, 6351, 269, 9442, 4679, 9355, 543, 16881, 519, 5385, 540, 1271, 1344, 1369, 519, 3919, 269, 667, 583, 625, 666, 581, 3838, 865, 602, 20718, 4247, 543, 19888, 793, 730, 4247, 616, 14284, 269, 26930, 568, 3838, 2687, 547, 1983, 543, 2702, 630, 29804, 2065, 5004, 267, 476, 1220, 279, 267, 533, 269, 476, 272, 1916, 3725, 327, 630, 1220, 277, 267, 533, 269, 476, 272, 264, 6920, 602, 6947, 568, 513, 1713, 5578, 538, 2359, 269, 769, 2792, 267, 621, 568, 8449, 1271, 547, 6432, 547, 1866, 1175, 607, 621, 568, 1271, 547, 2285, 1344, 269, 23016, 3322, 15603, 1866, 2911, 607, 835, 17188, 3007, 269, 4475, 267, 519, 26575, 568, 2111, 547, 17429, 576, 2495, 689, 519, 1268, 23187, 519, 5048, 269, 2290, 666, 1020, 519, 2953, 8226, 540, 606, 3390, 543, 2232, 513, 1966, 2649, 1947, 676, 11543, 811, 1620, 563, 20175, 543, 2184, 10107, 538, 3919, 9356, 538, 3906, 269, 1677, 723, 1379, 1797, 835, 666, 3310, 1776, 269, 1677, 2333, 835, 779, 1379, 538, 606, 3919, 267, 2043, 723, 2799, 741, 1983, 543, 7152, 602, 789, 616, 18164, 269, 31740, 786, 5944, 1489, 3401, 4171, 1379, 568, 11807, 982, 835, 945, 568, 28170, 633, 269, 8409, 945, 616, 2111, 547, 2184, 545, 1125, 543, 2744, 519, 3007, 540, 741, 20148, 525, 607, 1434, 693, 2773, 616, 2111, 547, 2744, 13319, 543, 1379, 538, 606, 3919, 563, 10048, 1771, 1983, 3648, 5351, 538, 519, 9740, 540, 3853, 543, 6859, 538, 606, 3919, 269, 5004, 1983, 616, 1271, 538, 2504, 543, 2359, 540, 519, 3003, 1870, 1184, 269, 18509, 3215, 2238, 538, 606, 3919, 2154, 519, 812, 3455, 547, 723, 7850, 1344, 547, 1118, 3617, 3664, 563, 312, 879, 543, 31493, 2993, 630, 1960, 271, 267, 533, 269, 476, 3451, 264, 2161, 602, 2792, 568, 606, 1271, 5578, 602, 6087, 835, 547, 5385, 1344, 543, 2744, 811, 1702, 269, 23016, 568, 851, 540, 2792, 543, 6087, 835, 547, 2744, 4030, 543, 17589, 2495, 689, 3177, 1344, 269, 9442, 849, 3322, 1818, 1344, 2139, 547, 519, 5520, 538, 519, 3919, 563, 763, 5075, 543, 519, 3853, 666, 581, 28078, 538, 4434, 269, 634, 21712, 2497, 540, 519, 3919, 1344, 666, 581, 3177, 269, 10572, 779, 1909, 568, 5693, 13890, 547, 2057, 21390, 563, 27832, 976, 543, 4030, 6591, 454, 296, 1087, 1132, 602, 8451, 538, 2359, 666, 581, 12193, 267, 543, 519, 10721, 3853, 581, 6913, 269, 23016, 547, 513, 7817, 543, 1620, 1018, 789, 991, 568, 513, 31707, 5578, 269, 9796, 532, 18906, 4369, 543, 3478, 27792, 568, 1271, 538, 1169, 1870, 1184, 269, 12243, 2679, 3340, 8404, 585, 1169, 4759, 563, 763, 8404, 666, 581, 6913, 952, 1169, 4759, 12034, 519, 6887, 960, 607, 741, 1967, 269, 16840, 1058, 16111, 4497, 538, 2319, 960, 585, 5140, 2164, 547, 581, 5833, 563, 18183, 26555, 666, 581, 17251, 952, 972, 568, 2792, 269, 1677, 4383, 4655, 267, 16395, 602, 1291, 547, 11650, 543, 14207, 616, 7691, 269, 31740, 666, 4487, 519, 6214, 543, 1379, 1894, 538, 519, 3919, 543, 2744, 13319, 269, 717, 8724, 1379, 936, 1866, 949, 1860, 835, 779, 2078, 563, 32715, 4315, 666, 1451, 547, 2226, 513, 2078, 543, 5431, 2319, 960, 607, 7104, 1967, 269, 24285, 666, 3927, 15518, 622, 9021, 543, 12492, 1967, 269, 1358, 666, 3972, 741, 5520, 547, 1118, 519, 1318, 3664, 269, 20556, 1063, 9946, 543, 741, 15118, 12542, 666, 581, 5693, 13890, 563, 763, 2013, 2090, 3177, 6542, 602, 2591, 538, 2359, 666, 581, 7753, 269, 12708, 1983, 607, 5941, 1331, 6947, 1983, 267, 2319, 960, 267, 4655, 2359, 267, 1620, 1379, 543, 6214, 538, 606, 3919, 543, 12561, 5718, 543, 16882, 1983, 269, 5004, 1983, 2087, 2773, 543, 2333, 4398, 269, 31740, 2154, 8404, 543, 666, 1451, 547, 2226, 2635, 3347, 538, 519, 960, 1747, 563, 290, 330, 9248, 269, 630, 1001, 272, 1040, 5295, 543, 6214, 269, 5680, 563, 293, 5987, 2006, 267, 681, 269, 589, 1421, 1299, 4354, 337, 718, 267, 590, 269, 595, 1421, 630, 1220, 271, 1040, 1548, 4422, 1472, 2501, 1472, 281, 634, 1764, 540, 2123, 4655, 2511, 593, 960, 4655, 543, 2566, 269, 634, 3486, 4750, 540, 18366, 5004, 267, 476, 1556, 630, 272, 2567, 476, 3953, 268, 3374, 269, 5680, 563, 29804, 2065, 5004, 269, 630, 1220, 279, 1040, 17461, 1344, 281, 5718, 543, 16882, 269, 5680, 563, 3725, 327, 267, 674, 269, 808, 269, 630, 1220, 277, 1040, 23016, 568, 513, 4105, 2359, 5578, 269, 5680, 563, 3725, 327, 267, 674, 269, 808, 269, 630, 1001, 272, 1040, 12243, 2679, 269, 5680, 563, 312, 879, 267, 654, 269, 590, 269, 700, 1421, 543, 31493, 2993, 267, 667, 269, 630, 1960, 271, 1040, 15440, 658, 7592, 543, 10341, 269, 4750, 540, 2359, 4886, 267, 476, 280, 630, 277, 2567, 476, 3953, 268, 476, 2412, 0, 295, 4348, 338, 540, 1453, 9907, 2630, 2185, 1296, 2661, 609, 741, 11299, 538, 15057, 779, 30813, 267, 799, 616, 3622, 5185, 609, 267, 20316, 267, 796, 1506, 8162, 545, 2175, 1851, 1082, 824, 2042, 269, 901, 568, 5103, 519, 1249, 602, 30813, 616, 711, 2922, 4025, 585, 9176, 2021, 267, 9002, 543, 1762, 1453, 563, 1103, 3127, 585, 1383, 267, 1453, 607, 2025, 607, 476, 1428, 1296, 723, 27333, 7283, 538, 7890, 609, 741, 3237, 267, 1317, 18864, 568, 8348, 547, 2445, 873, 269, 4033, 2477, 899, 16157, 2705, 267, 798, 711, 1450, 1453, 540, 1022, 2085, 547, 2661, 538, 7890, 269, 769, 22728, 28573, 267, 1453, 616, 4847, 547, 2661, 609, 741, 11299, 585, 519, 1101, 1614, 1296, 540, 741, 2729, 269, 769, 6792, 267, 1453, 666, 3251, 609, 741, 11299, 2394, 789, 616, 476, 277, 1296, 2025, 269, 769, 15787, 267, 513, 1126, 666, 28020, 1658, 880, 538, 7890, 609, 1200, 3993, 2394, 1352, 7140, 476, 1240, 1296, 269, 681, 5699, 3368, 519, 2477, 538, 519, 1158, 1450, 11299, 7674, 513, 4845, 547, 2661, 609, 741, 1453, 267, 952, 1152, 585, 513, 1906, 3275, 269, 901, 568, 2687, 547, 513, 476, 1001, 275, 7732, 540, 6837, 7797, 454, 8170, 519, 476, 3607, 272, 1453, 267, 476, 3199, 616, 609, 741, 11299, 693, 519, 18999, 685, 1092, 6468, 779, 29277, 269, 1452, 1453, 1336, 741, 1259, 883, 891, 30813, 3274, 1317, 741, 11299, 941, 29802, 267, 543, 602, 621, 729, 711, 19624, 547, 5094, 873, 689, 741, 11299, 563, 2691, 513, 3993, 568, 29802, 267, 1200, 1762, 1453, 949, 979, 883, 7890, 609, 1200, 610, 581, 9674, 689, 1200, 543, 2451, 693, 1753, 563, 13828, 3871, 666, 2322, 519, 1126, 693, 1981, 269, 20226, 2161, 602, 1453, 540, 23948, 730, 3237, 616, 3670, 2053, 811, 2693, 982, 824, 6107, 547, 2244, 538, 7890, 693, 930, 1448, 538, 741, 1378, 2729, 267, 543, 519, 3510, 949, 581, 8338, 585, 519, 1453, 2713, 609, 741, 23948, 730, 11299, 538, 7890, 563, 2005, 779, 519, 1482, 7097, 267, 1114, 5641, 267, 693, 519, 12653, 18553, 6468, 779, 29358, 29277, 1141, 519, 1453, 896, 519, 2085, 540, 476, 275, 616, 14538, 540, 519, 1533, 21806, 540, 741, 11299, 945, 723, 1044, 26722, 540, 1585, 10963, 563, 763, 6821, 616, 21243, 609, 18305, 26901, 532, 9909, 540, 5191, 267, 519, 7484, 15236, 616, 2407, 540, 9162, 267, 519, 1835, 11726, 3832, 562, 2335, 625, 12271, 616, 16802, 532, 609, 2648, 269, 3245, 519, 533, 842, 13355, 30079, 547, 519, 10477, 5127, 7741, 543, 18147, 4904, 609, 16765, 29354, 28886, 344, 3380, 267, 972, 779, 1100, 2243, 1453, 2661, 1934, 454, 763, 15585, 776, 11833, 540, 12653, 836, 685, 320, 568, 8247, 540, 4758, 891, 1453, 513, 2631, 540, 3339, 1097, 5103, 741, 30693, 267, 865, 602, 789, 666, 7753, 741, 25031, 1376, 538, 1272, 563, 763, 15585, 12579, 5249, 609, 519 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 519, 5642, 689, 519, 936, 2391, 2960, 610, 689, 2571, 5160, 5563, 998, 519, 1973, 3761, 563, 1432, 568, 1323, 330, 548, 2598, 331, 6327, 888, 2304, 330, 548, 20247, 6327, 568, 513, 2783, 602, 4386, 950, 519, 7633, 540, 519, 2539, 1850, 1572, 519, 4017, 3121, 543, 512, 28992, 1205, 9674, 689, 519, 5657, 639, 610, 21721, 5642, 269, 901, 666, 2014, 3978, 3441, 547, 519, 13285, 543, 28587, 4478, 519, 21721, 267, 3056, 547, 513, 7771, 538, 4222, 543, 2949, 1072, 540, 519, 1850, 563, 27246, 540, 1323, 330, 548, 2598, 331, 6327, 454, 5278, 540, 519, 1455, 3123, 540, 21721, 20247, 6327, 1331, 912, 268, 16359, 6174, 10913, 454, 268, 11846, 5945, 454, 268, 769, 1189, 610, 21286, 12902, 540, 519, 21721, 454, 268, 27275, 8813, 454, 268, 6034, 2887, 593, 519, 3723, 454, 21618, 540, 1323, 330, 548, 2598, 331, 6327, 454, 763, 4191, 543, 2589, 540, 21721, 20247, 6327, 1331, 912, 268, 27275, 1928, 454, 268, 1323, 330, 548, 11926, 543, 20015, 2358, 454, 268, 853, 858, 1145, 543, 8467, 454, 268, 7799, 14591, 538, 519, 3350, 540, 519, 21721, 454, 7312, 4387, 786, 2689, 707, 2589, 543, 2564, 1686, 543, 1685, 513, 9488, 2168, 6514, 547, 2638, 585, 513, 2039, 540, 5163, 543, 1022, 3441, 547, 519, 28587, 267, 1973, 2095, 267, 543, 6617, 269, 634, 1739, 10368, 4255, 949, 581, 5340, 585, 2417, 6268, 540, 519, 13676, 21721, 563, 268, 2473, 17530, 281, 4438, 713, 1353, 267, 1164, 13590, 1648, 20832, 616, 1031, 547, 3132, 2592, 540, 519, 7633, 563, 268, 11632, 11571, 281, 7981, 1535, 17530, 616, 1031, 547, 3132, 2592, 540, 1022, 3441, 538, 519, 21721, 563, 21675, 585, 1323, 330, 548, 2598, 331, 6327, 454, 2791, 786, 581, 25009, 547, 4019, 606, 4672, 3640, 543, 1832, 707, 21721, 538, 606, 11506, 2990, 547, 2569, 11926, 269, 13689, 593, 707, 2783, 267, 707, 4387, 786, 1747, 519, 4299, 1850, 538, 513, 9354, 25231, 547, 1832, 621, 7123, 543, 949, 21559, 6527, 547, 2569, 1928, 543, 11926, 269, 1411, 949, 991, 6391, 547, 7816, 1022, 8697, 28587, 267, 1973, 8043, 267, 13285, 267, 610, 1022, 11105, 3889, 540, 519, 21721, 269, 0, 21316, 2207, 24361, 19419, 21788, 4753, 12813, 3198, 301, 5058, 630, 300, 14641, 2187, 268, 631, 14641, 568, 513, 9836, 4058, 543, 1852, 12191, 585, 2504, 543, 11891, 563, 268, 898, 568, 513, 5650, 585, 4058, 543, 9013, 519, 6151, 1570, 267, 12349, 2694, 543, 960, 538, 3356, 630, 310, 7709, 264, 6427, 1559, 2838, 538, 5663, 563, 268, 631, 14641, 568, 2966, 547, 2626, 1614, 2055, 454, 268, 1548, 568, 2877, 888, 268, 1215, 1454, 568, 2877, 888, 268, 1879, 568, 621, 2877, 888, 268, 898, 18252, 519, 1587, 2497, 267, 4393, 1344, 899, 2504, 24579, 10810, 618, 1291, 2053, 543, 11891, 4567, 538, 513, 19915, 547, 3132, 519, 1655, 1544, 563, 268, 4935, 631, 14641, 568, 513, 1062, 540, 4058, 543, 20319, 519, 942, 943, 1078, 1570, 10421, 585, 2504, 4238, 563, 268, 22802, 22159, 563, 268, 22159, 538, 13870, 543, 24822, 8048, 8648, 563, 268, 16842, 661, 1553, 13853, 563, 268, 674, 2120, 3210, 547, 2344, 2242, 563, 268, 20865, 4074, 543, 3937, 13345, 563, 268, 14568, 11891, 4058, 543, 20319, 563, 268, 25841, 11891, 2157, 1510, 4389, 6075, 3028, 563, 763, 2101, 5413, 540, 631, 14641, 1935, 568, 922, 2702, 547, 1544, 15768, 2694, 2504, 585, 513, 1360, 1950, 2504, 1062, 676, 20319, 782, 519, 2238, 2838, 547, 2743, 519, 2016, 4487, 8430, 1247, 8066, 1524, 960, 538, 3356, 11891, 563, 763, 2101, 11378, 547, 519, 1062, 616, 912, 268, 634, 4487, 2504, 8430, 28408, 1018, 547, 3132, 543, 950, 563, 268, 634, 1587, 2497, 1239, 1519, 3915, 540, 1570, 267, 23332, 6119, 609, 5663, 270, 27147, 1291, 942, 563, 268, 634, 11891, 4567, 3758, 585, 6151, 1570, 267, 960, 538, 3356, 543, 8737, 5370, 563, 16449, 519, 17016, 689, 519, 10189, 267, 519, 968, 326, 1484, 543, 2121, 10421, 1867, 892, 6920, 519, 12557, 540, 1931, 13847, 2838, 547, 2743, 519, 4487, 8430, 563, 763, 27519, 5288, 20509, 1867, 11887, 2436, 2200, 2838, 676, 519, 960, 7740, 616, 2139, 547, 3132, 891, 9753, 799, 568, 3730, 538, 4058, 936, 5503, 563, 763, 6300, 6989, 4058, 1867, 568, 513, 17609, 540, 6009, 676, 1813, 4266, 1141, 519, 1813, 4266, 6920, 950, 20619, 693, 602, 8257, 1058, 581, 6192, 538, 1931, 547, 2743, 519, 8430, 8612, 676, 519, 14407, 543, 2121, 10421, 1867, 269, 634, 6300, 6989, 28643, 786, 1287, 5305, 6009, 547, 6191, 609, 12032, 942, 538, 3108, 543, 1813, 7389, 585, 519, 3688, 563, 288, 6093, 5010, 1062, 2488, 3606, 1344, 538, 519, 1106, 540, 9868, 1867, 10834, 6009, 547, 581, 11880, 1243, 610, 632, 7721, 6244, 1243, 607, 513, 12343, 540, 17799, 538, 2504, 540, 3334, 269, 1546, 7721, 6244, 1746, 6585, 1524, 960, 538, 1184, 11891, 563, 32602, 308, 293, 16898, 7838, 5058, 19419, 21788, 4753, 12813, 3198, 301, 5058, 4083, 630, 300, 14641, 4083, 2187, 268, 19007, 12754, 12020, 630, 300, 14641, 4083, 264, 568, 3989, 607, 513, 1505, 585, 519, 2500, 4058, 540, 782, 2200, 540, 513, 5663, 2754, 269, 27814, 267, 621, 9607, 5665, 4058, 538, 4559, 267, 2883, 4058, 543, 814, 513, 11191, 12588, 547, 2626, 968, 6343, 268, 604, 892, 2055, 543, 10137, 540, 6806, 2000, 17274, 631, 14641, 563, 268, 898, 568, 606, 7471, 1344, 1062, 1031, 547, 1544, 543, 1852, 6427, 1559, 543, 19206, 538, 5663, 3549, 269, 631, 14641, 4083, 1062, 10974, 6455, 267, 11449, 267, 5663, 267, 8804, 543, 4702, 676, 12561, 513, 17122, 2504, 1544, 543, 676, 1210, 835, 19618, 6538, 547, 1544, 543, 9337, 519, 2238, 538, 782, 519, 1949, 563, 268, 1280, 19007, 12793, 912, 268, 14568, 1852, 540, 6427, 1559, 563, 268, 20865, 20319, 563, 268, 13870, 2078, 609, 7727, 563, 268, 1280, 11038, 543, 8779, 532, 12793, 912, 268, 25841, 2324, 3854, 585, 11891, 563, 268, 20865, 6666, 2095, 998, 18334, 5838, 625, 563, 268, 6452, 23847, 11891, 5638, 563, 268, 5384, 569, 543, 4570, 1942, 543, 20656, 1344, 563, 268, 1280, 5071, 270, 25811, 1359, 12793, 912, 268, 20865, 1374, 1852, 563, 268, 14568, 2298, 543, 2298, 1852, 563, 7728, 2207, 11266, 30990, 19419, 21788, 4753, 12813, 3198, 301, 5058, 630, 2207, 303, 2187, 2207, 303, 568, 606, 10137, 540, 7698, 18859, 618, 12020, 543, 19007, 12754, 12020, 269, 661, 14641, 568, 606, 8668, 4480, 547, 1683, 519, 7207, 540, 4015, 267, 5108, 543, 4859, 540, 5318, 9424, 540, 1239, 547, 267, 606, 13055, 547, 25117, 1870, 3252, 971, 607, 1374, 267, 5478, 267, 3892, 267, 3028, 543, 9657, 540, 1587, 2533, 543, 5512, 9477, 540, 1344, 2429, 519, 2754, 8164, 2838, 269, 0, 14276, 2657, 16721, 1563, 1145, 281, 15232, 540, 5046, 268, 866, 16195, 31048, 543, 13565, 670, 9391, 27557, 454, 1432, 21781, 302, 1336, 454, 763, 5046, 268, 866, 6855, 814, 12006, 519, 2956, 540, 10506, 685, 2702, 547, 2708, 543, 1521, 606, 2810, 1297, 540, 2550, 3564, 741, 3339, 10551, 4390, 267, 1634, 607, 519, 2564, 10006, 269, 2353, 5216, 10506, 538, 519, 21781, 302, 2689, 4080, 2789, 2591, 1644, 547, 5234, 267, 7727, 267, 2230, 267, 610, 1344, 269, 4340, 547, 519, 4972, 540, 2657, 543, 5274, 7896, 630, 295, 9391, 1070, 891, 616, 1883, 2609, 540, 606, 2500, 2564, 10006, 3210, 269, 2353, 5216, 10506, 4080, 5234, 532, 2591, 267, 1519, 513, 17732, 540, 5234, 547, 1832, 909, 609, 519, 2810, 1297, 540, 2550, 267, 543, 5234, 1373, 7210, 543, 8572, 547, 960, 267, 18363, 6413, 2533, 269, 9869, 8558, 723, 3144, 3268, 547, 2232, 891, 2591, 269, 1280, 1383, 267, 649, 723, 29979, 10986, 950, 2009, 543, 8036, 5234, 538, 519, 946, 540, 1697, 2123, 8825, 3937, 547, 2061, 3968, 269, 634, 2657, 5516, 29663, 267, 513, 1895, 540, 1072, 1416, 543, 3210, 3906, 538, 3989, 13664, 6753, 6462, 676, 670, 9391, 7616, 267, 19443, 519, 6413, 269, 1280, 1383, 267, 621, 20291, 3461, 19132, 547, 3262, 6413, 4452, 267, 5833, 543, 7856, 2877, 2564, 7727, 267, 543, 28078, 6413, 2115, 547, 2829, 563, 10890, 3249, 4600, 14775, 547, 519, 5046, 268, 866, 6855, 454, 295, 9391, 814, 3292, 543, 2238, 6322, 693, 4543, 10506, 543, 824, 3782, 6703, 5965, 585, 2564, 1147, 2471, 267, 855, 621, 568, 1932, 2038, 547, 917, 519, 7145, 540, 891, 3646, 269, 1280, 1383, 267, 670, 9391, 4566, 547, 2932, 513, 1007, 2564, 10006, 3635, 585, 519, 5742, 538, 476, 1708, 272, 547, 1449, 22026, 543, 1305, 9072, 547, 2268, 2773, 269, 1284, 616, 849, 3168, 693, 875, 649, 666, 946, 519, 4681, 543, 4245, 4121, 689, 938, 4879, 540, 519, 29663, 1282, 519, 476, 1708, 272, 6855, 547, 2087, 938, 1489, 547, 519, 29663, 543, 922, 2950, 269, 670, 9391, 568, 849, 7616, 519, 1646, 540, 519, 13636, 28155, 2657, 15863, 3590, 267, 799, 6663, 547, 1020, 606, 2500, 1935, 547, 14775, 547, 2564, 1147, 2471, 2066, 2789, 2829, 269, 901, 2882, 1732, 1239, 4687, 593, 4199, 543, 4390, 2152, 267, 543, 519, 1646, 540, 6131, 6887, 547, 4431, 547, 1114, 10898, 269, 670, 9391, 568, 6236, 1985, 3268, 538, 9750, 713, 6237, 1062, 269, 769, 1840, 267, 670, 9391, 10953, 2199, 4808, 585, 10506, 543, 824, 6703, 3238, 538, 3461, 1416, 267, 607, 2838, 676, 1876, 267, 547, 3986, 2564, 10006, 4390, 1282, 1857, 1072, 18002, 269, 12079, 10118, 1705, 711, 1683, 513, 4266, 585, 950, 519, 4808, 786, 581, 3370, 563, 3963, 21781, 302, 1705, 713, 1353, 454, 295, 9391, 5012, 519, 4182, 779, 2564, 543, 1857, 1072, 23982, 267, 3210, 543, 6051, 585, 18002, 543, 12469, 269, 901, 2882, 4543, 1628, 10506, 543, 824, 2564, 10006, 23982, 1949, 269, 9622, 2102, 2886, 971, 607, 519, 5046, 268, 866, 6855, 2322, 513, 16854, 8833, 593, 10506, 1282, 16839, 563, 763, 17455, 2438, 543, 2353, 28155, 16721, 1563, 1145, 543, 16743, 2920, 540, 476, 1001, 280, 2882, 14074, 585, 519, 21781, 302, 547, 2689, 922, 6388, 540, 670, 9391, 2199, 23982, 543, 3210, 4808, 585, 10506, 543, 824, 6703, 547, 2333, 2564, 10006, 4390, 269, 594, 6557, 1934, 269, 670, 9391, 1767, 519, 1615, 340, 766, 540, 891, 4808, 814, 1044, 16607, 607, 519, 3210, 547, 5046, 268, 866, 5170, 269, 634, 27334, 2464, 2920, 849, 2882, 14074, 585, 21781, 302, 547, 1867, 593, 519, 5313, 2229, 779, 3210, 547, 519, 6855, 269, 901, 1867, 7710, 630, 272, 264, 519, 3782, 10006, 2591, 602, 5697, 10506, 5185, 538, 14775, 547, 519, 5046, 268, 866, 6855, 543, 875, 519, 16195, 29663, 5280, 538, 741, 3646, 267, 543, 630, 273, 264, 519, 3782, 10006, 269, 2677, 32606, 5697, 670, 9391, 3292, 543, 2238, 25093, 547, 1489, 519, 3210, 547, 454, 2414, 798, 713, 960, 267, 21781, 302, 12649, 670, 9391, 543, 6413, 6054, 269, 21781, 302, 849, 26906, 670, 9391, 8387, 543, 13222, 689, 513, 1875, 24932, 1968, 14184, 3732, 540, 5216, 10506, 543, 5216, 28337, 12205, 2066, 1614, 2829, 269, 1452, 2829, 941, 5697, 1759, 593, 741, 9525, 538, 670, 9391, 6237, 23982, 543, 3210, 3646, 563, 288, 8908, 540, 713, 1867, 814, 1044, 11643, 547, 670, 9391, 585, 2689, 543, 6085, 269, 670, 9391, 3177, 2930, 8292, 563, 2690, 811, 1344, 267, 5225, 3346, 6307, 9324, 10247, 5336, 659, 879, 2917, 16733, 1708, 264, 476, 24423, 268, 279, 4649, 273, 264, 610, 1496, 16942, 6870, 4940, 0, 272, 22175, 516, 2986, 570, 8986, 9509, 8281, 8206, 301, 11246, 2336, 2662, 7241, 1505, 568, 1031, 267, 1004, 991, 547, 581, 5402, 25009, 538, 875, 547, 3575, 543, 946, 519, 3435, 269, 2710, 711, 946, 1932, 1454, 6070, 269, 1403, 519, 3070, 814, 1932, 1454, 6070, 519, 1126, 949, 20549, 547, 4235, 527, 269, 4746, 267, 1932, 1454, 6070, 666, 267, 538, 3665, 2665, 267, 2014, 5996, 6160, 687, 269, 18320, 2370, 6070, 323, 3996, 1100, 2800, 855, 568, 1447, 2500, 538, 7303, 18024, 6993, 11315, 3391, 547, 519, 2179, 540, 6070, 568, 602, 519, 3070, 1058, 6492, 1100, 6070, 1512, 982, 17229, 269, 304, 269, 1215, 1454, 3070, 798, 594, 3049, 286, 293, 3975, 1310, 1169, 10690, 5163, 269, 3849, 6699, 543, 1804, 1453, 1058, 4235, 693, 2547, 476, 274, 844, 11301, 610, 20990, 540, 10758, 306, 513, 1554, 2394, 789, 616, 1134, 9950, 778, 30839, 912, 272, 22175, 516, 2986, 570, 8986, 9509, 8281, 0, 293, 13904, 12280, 338, 769, 476, 13932, 272, 454, 31388, 267, 476, 6349, 5239, 476, 1708 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1229, 5761, 1185, 2919, 3330, 922, 18579, 1739, 24328, 782, 4191, 585, 1346, 8049, 827, 519, 18784, 606, 3359, 30443, 6362, 538, 938, 4552, 5023, 2960, 9641, 543, 8937, 1934, 568, 513, 6251, 1413, 891, 10477, 12222, 1413, 899, 11247, 538, 1249, 789, 616, 1483, 1272, 18767, 269, 12810, 540, 3330, 519, 5761, 454, 933, 15974, 606, 1935, 585, 1915, 1944, 7293, 30846, 540, 5761, 2860, 12162, 2737, 1210, 2322, 539, 29821, 4137, 476, 273, 2982, 519, 20104, 607, 513, 6516, 1101, 649, 4766, 9403, 4183, 2370, 568, 4867, 1634, 827, 519, 3157, 602, 5397, 5761, 2068, 519, 2702, 547, 8308, 13209, 543, 14404, 1518, 2550, 1131, 3976, 948, 19353, 936, 552, 835, 540, 519, 1292, 2591, 4843, 519, 5418, 9766, 344, 5868, 2344, 1867, 3947, 513, 1283, 547, 5377, 6516, 540, 1587, 20487, 5418, 9766, 344, 568, 519, 6553, 540, 519, 9245, 1634, 607, 5418, 3120, 602, 27788, 519, 9641, 3330, 519, 9221, 269, 12810, 540, 3330, 519, 5761, 454, 1492, 30439, 320, 11498, 689, 519, 8405, 543, 17337, 883, 1079, 1292, 11487, 14024, 1785, 12147, 2147, 547, 519, 30439, 320, 519, 1079, 3119, 11487, 14024, 616, 4092, 3330, 909, 519, 19357, 658, 3529, 1685, 519, 1482, 1599, 713, 3123, 519, 2011, 2604, 3330, 519, 9221, 13570, 547, 581, 552, 2362, 982, 538, 519, 4478, 2011, 713, 24864, 2011, 856, 540, 519, 9641, 543, 5555, 649, 17938, 1446, 1775, 723, 3769, 513, 3095, 547, 513, 13042, 519, 11234, 6516, 814, 1044, 9102, 593, 519, 3382, 540, 519, 1837, 607, 1134, 607, 593, 519, 3330, 3817, 4966, 2161, 519, 6516, 2523, 547, 2061, 1973, 689, 2469, 1394, 883, 519, 9641, 891, 563, 320, 6292, 540, 3352, 534, 1014, 16413, 723, 4465, 513, 21936, 547, 1374, 513, 1489, 8998, 585, 5761, 2860, 24412, 8810, 547, 2087, 5761, 1072, 950, 13881, 5781, 12001, 4837, 27788, 713, 2230, 2469, 676, 519, 6516, 799, 568, 2731, 782, 649, 723, 693, 519, 4090, 519, 7952, 786, 2253, 609, 513, 2582, 3926, 568, 602, 519, 1318, 2262, 602, 2934, 513, 1480, 2295, 9641, 543, 6797, 13365, 616, 519, 7929, 1062, 568, 519, 1445, 540, 713, 15922, 540, 519, 8858, 3340, 938, 2962, 513, 3774, 6516, 6645, 519, 1650, 540, 519, 13946, 10367, 538, 561, 2444, 14513, 535, 8896, 602, 22300, 7376, 729, 849, 563, 13312, 8183, 540, 18738, 631, 1926, 12810, 540, 18738, 14272, 12810, 540, 18738, 4530, 525, 12810, 540, 18738, 519, 9839, 2349, 1678, 25016, 12810, 3911, 758, 619, 25016, 338, 634, 9978, 12810, 540, 25016, 338, 12810, 540, 519, 25016, 338, 609, 3911, 5803, 12810, 540, 18738, 16690, 9839, 12810, 1133, 16932, 539, 14295, 3019, 540, 519, 25016, 338, 12810, 13928, 12810, 540, 25016, 338, 20668, 540, 519, 25016, 338, 12810, 5274, 25016, 338, 12810, 17755, 3863, 22193, 16530, 6516, 568, 513, 4480, 540, 10503, 519, 12122, 540, 5122, 3937, 10380, 267, 19838, 5122, 10380, 3937, 538, 519, 2655, 566, 593, 25553, 267, 689, 8470, 547, 4216, 25553, 602, 6227, 7658, 31553, 1299, 512, 7062, 793, 2718, 2460, 267, 7658, 5471, 1359, 267, 782, 3344, 602, 2154, 11443, 6516, 267, 1031, 547, 12398, 13779, 267, 1715, 18559, 16736, 267, 3092, 6185, 328, 8183, 2986, 18738, 634, 25016, 454, 1607, 28176, 6516, 5713, 547, 1683, 606, 1620, 540, 519, 3252, 543, 25029, 540, 606, 10380, 538, 1469, 267, 10503, 519, 3937, 1315, 10380, 2694, 630, 514, 3090, 1106, 264, 543, 519, 4296, 6185, 328, 8183, 2986, 18738, 634, 25016, 454, 1607, 5547, 6516, 2982, 519, 2949, 8647, 540, 513, 5547, 269, 2353, 540, 922, 1898, 3334, 543, 4296, 616, 11609, 676, 8642, 6698, 11231, 547, 4766, 4238, 607, 5693, 607, 2009, 855, 1510, 2543, 547, 519, 2168, 1106, 540, 519, 1585, 3688, 267, 3334, 610, 4296, 269, 0, 23219, 940, 281, 589, 1875, 5991, 10179, 545, 1871, 11402, 538, 1315, 24610, 270, 7349, 2537, 9706, 3016, 318, 6255, 6447, 11320, 335, 9762, 550, 14121, 1335, 525, 270, 2908, 560, 4209, 11721, 17313, 21703, 593, 1899, 476, 13679, 272, 454, 1692, 1677, 3680, 24613, 3414, 513, 22588, 21509, 19822, 454, 296, 4076, 1044, 6217, 513, 2603, 540, 2911, 10838, 15940, 658, 827, 873, 2348, 513, 968, 638, 6621, 3734, 6433, 6100, 1924, 1018, 568, 621, 543, 1018, 1281, 621, 1611, 286, 968, 763, 10116, 3734, 6433, 568, 513, 1974, 540, 1272, 8151, 689, 1000, 550, 625, 547, 19412, 2906, 267, 538, 799, 513, 1268, 5956, 547, 1745, 8969, 995, 827, 741, 1378, 2729, 267, 4547, 593, 676, 519, 2566, 540, 4742, 606, 2937, 269, 5871, 2589, 540, 513, 10116, 1272, 6433, 616, 1419, 4606, 540, 1373, 2048, 331, 739, 267, 18901, 267, 24949, 610, 11821, 685, 827, 1018, 3268, 547, 1491, 538, 1931, 547, 5912, 5265, 883, 15296, 9731, 292, 20891, 670, 269, 661, 686, 802, 517, 3357, 909, 609, 5933, 540, 26447, 1646, 811, 982, 476, 2004, 1296, 3516, 269, 3571, 3069, 729, 602, 693, 1142, 540, 891, 5933, 267, 1004, 4283, 883, 513, 4990, 540, 4655, 267, 1141, 789, 1590, 8207, 513, 14196, 269, 7982, 1287, 267, 621, 4667, 519, 4305, 540, 1762, 15296, 729, 547, 1265, 2648, 543, 7017, 1524, 269, 6875, 513, 1413, 693, 519, 5750, 2630, 630, 342, 833, 335, 4215, 3820, 1916, 2026, 596, 666, 1294, 267, 646, 561, 7927, 6502, 476, 1240, 268, 2412, 782, 1927, 607, 835, 11095, 3942, 269, 1809, 267, 952, 596, 6432, 547, 1018, 568, 2469, 593, 538, 519, 2729, 540, 476, 736, 1606, 558, 996, 902, 891, 2395, 267, 621, 4667, 789, 616, 6849, 513, 1114, 6560, 267, 835, 602, 3884, 1406, 5018, 1934, 269, 634, 2395, 1141, 3214, 1131, 979, 1055, 547, 2852, 267, 1205, 513, 1434, 2816, 2390, 22692, 538, 741, 5551, 2361, 267, 1205, 513, 1747, 540, 741, 1378, 543, 1376, 2713, 607, 606, 2937, 3100, 547, 581, 8854, 269, 5502, 267, 621, 779, 1631, 1831, 5051, 968, 7538, 892, 585, 2852, 20021, 547, 1847, 1394, 1753, 267, 6560, 609, 13864, 610, 1256, 513, 2312, 4287, 602, 789, 1616, 547, 2212, 538, 24015, 269, 4495, 789, 723, 6410, 1394, 1753, 267, 789, 666, 3362, 1831, 9678, 689, 741, 9905, 267, 1745, 19252, 543, 3284, 24602, 267, 543, 1175, 18516, 827, 741, 20304, 269, 2353, 540, 713, 666, 581, 1360, 4160, 1008, 3183, 267, 610, 1256, 1291, 547, 4965, 267, 7551, 1818, 1022, 3664, 610, 4464, 3350, 1256, 811, 540, 513, 4161, 563, 2026, 3237, 267, 972, 616, 1919, 649, 666, 798, 547, 3391, 938, 1762, 2937, 1453, 6707, 883, 15296, 267, 23248, 9319, 610, 693, 2547, 10893, 1022, 1826, 540, 968, 638, 6621, 3734, 6433, 6100, 1411, 2219, 707, 2816, 729, 2944, 950, 789, 5828, 476, 1240, 543, 2451, 585, 2852, 267, 855, 2731, 267, 607, 513, 2385, 267, 707, 2816, 568, 2760, 2944, 269, 3371, 568, 1018, 594, 4363, 547, 948, 3214, 6330, 998, 713, 4101, 942, 538, 741, 2729, 912, 268, 3399, 2038, 3450, 707, 1453, 875, 547, 581, 4830, 269, 1358, 1058, 917, 875, 547, 798, 782, 519, 1919, 2838, 547, 2661, 593, 707, 1378, 281, 27445, 267, 8286, 267, 7738, 267, 3092, 563, 268, 5213, 1406, 798, 585, 707, 2937, 1453, 1919, 789, 616, 5827, 540, 3257, 593, 741, 1378, 281, 1810, 1406, 798, 741, 27445, 267, 5986, 267, 8286, 267, 3092, 563, 268, 5213, 1406, 1118, 621, 1932, 6899, 585, 707, 1126, 547, 2097, 1394, 1753, 1279, 2165, 1310, 2852, 269, 3399, 2921, 936, 741, 4055, 609, 707, 15547, 3937, 610, 22927, 3684, 269, 5269, 621, 2312, 602, 713, 568, 711, 2731, 741, 4055, 865, 1454, 15042, 267, 2864, 513, 1747, 789, 2461, 9363, 585, 513, 1247, 563, 268, 11559, 707, 1126, 547, 3180, 1524, 930, 1826, 540, 2816, 4358, 538, 519, 7141, 1296, 543, 849, 998, 2852, 269, 7351, 1382, 2982, 602, 1034, 12820, 1745, 602, 8066, 1524, 513, 2816, 568, 2484, 811, 1271, 982, 1141, 596, 4682, 547, 1153, 610, 1256, 1018, 707, 717, 5183, 568, 269, 769, 824, 1913, 267, 789, 2461, 3168, 585, 1004, 602, 960, 2182, 267, 711, 24401, 6150, 610, 13886, 1490, 1846, 563, 268, 2201, 602, 4063, 267, 1810, 1406, 6318, 707, 3214, 547, 581, 24401, 6150, 610, 13886, 1490, 1846, 269, 5269, 873, 7118, 519, 1919, 789, 1616, 267, 4001, 873, 519, 1871, 540, 2182, 960, 543, 2724, 269, 5213, 1406, 4444, 873, 513, 22720, 310, 585, 741, 476, 1626, 628, 14512, 267, 1256, 952, 596, 666, 6488, 621, 269, 3807, 1317, 596, 666, 3085, 1406, 1611, 596, 454, 268, 6651, 873, 607, 789, 4283, 2852, 269, 13185, 827, 32407, 543, 2009, 11678, 543, 519, 19178, 540, 519, 2816, 2344, 269, 11559, 873, 547, 1118, 5079, 602, 786, 2965, 1450, 873, 547, 581, 2308, 762, 950, 789, 10927, 269, 1703, 616, 6009, 856, 972, 269, 14146, 619, 29153, 602, 972, 616, 1360, 1906, 3214, 4271, 908, 891, 2395, 609, 5232, 602, 20618, 873, 585, 519, 6009, 602, 2965, 2291, 269, 19573, 908, 609, 513, 476, 275, 269, 271, 538, 2296, 1869, 14906, 619, 596, 1447, 2308, 762, 982, 519, 4819, 945, 814, 513, 476, 274, 269, 271, 538, 7177, 610, 7025, 3163, 269, 0, 24589, 760, 781, 5753, 781, 25304, 454, 13510, 9005, 538, 14351, 454, 24309, 676, 1079, 11585, 3610, 543, 3370, 538, 7681, 609, 634, 9576, 2983, 7240, 5980, 267, 713, 568, 513, 7990, 995, 543, 19278, 4367, 547, 1565, 827, 824, 2694, 540, 519, 1158, 269, 2991, 513, 2489, 3184, 593, 2048, 5978, 14136, 3047, 8730, 519, 693, 20393, 814, 2312, 267, 2143, 7851, 267, 2596, 10923, 5013, 543, 5515, 543, 7990, 11147, 540, 1004, 543, 4025, 585, 1142, 11782, 282, 7132, 513, 7688, 267, 29395, 543, 4994, 269, 6520, 476, 278, 1700, 1321, 269, 0, 1103, 2221, 781, 5850, 649, 3136, 547, 1451, 2596, 22898, 607, 649, 946, 14487, 2824, 832, 547, 2511, 2609, 269, 17949, 2336, 21366, 281, 476, 278, 2764, 1982, 30949, 454, 3412, 1137, 666, 581, 1500, 883, 4945, 762, 6402, 593, 1357, 3817, 1210, 519, 19671, 11090, 269, 769, 713, 5850, 267, 649, 16833, 606, 3239, 11090, 538, 606, 19671, 3693, 1210, 938, 834, 258, 257, 27430, 865, 602, 649, 1810, 1405, 723, 547, 1589, 827, 1141, 519, 3095, 4422, 547, 269, 901, 568, 930, 2596, 267, 855, 1360, 3730, 14103, 563, 21366, 281, 476, 277, 4343, 1982, 30949, 454, 9213, 594, 1397, 875, 547, 946, 2596, 22898, 547, 1039, 10665, 1472, 707, 14103, 2609, 269, 7490, 899, 267, 6085, 543, 24049, 952, 596, 1336, 713, 3381, 3730, 563, 21366, 281, 476, 29900, 1982, 30949, 454, 299, 9722, 547, 5007, 3817, 568, 12913, 538, 14103, 1210, 606, 19671, 1257, 269, 769, 713, 5850, 267, 649, 946, 19671, 1257, 547, 3095, 513, 1906, 1913, 593, 938, 3896, 547, 606, 5007, 3896, 269, 1879, 519, 3593, 30390, 602, 3095, 267, 789, 786, 581, 2699, 20526, 547, 519, 9138, 3896, 269, 8262, 9684, 596, 547, 5131, 8943, 8805, 585, 2870, 713, 5140, 3896, 563, 21366, 281, 476, 5038, 273, 1982, 30949, 454, 13914, 827, 606, 2025, 5104, 651, 7901, 950, 596, 616, 3206, 540, 5925, 16181, 269, 15571, 16181, 616, 513, 4015, 540, 16181, 538, 799, 1152, 835, 7735, 666, 581, 20158, 693, 513, 942, 269, 1879, 596, 7903, 1776, 540, 519, 5925, 16181, 267, 519, 824, 16181, 1402, 909, 269, 594, 4363, 1603, 513, 1906, 5925, 7735, 2516, 547, 1205, 26224, 547, 519, 1259, 713, 2029, 6402, 1927, 563, 21366, 281, 476, 14625, 272, 1982, 30949, 454, 13425, 7901, 525, 616, 16814, 2609, 799, 1450, 519, 3593, 547, 2824, 2789, 3681, 689, 513, 1305, 540, 3681, 269, 6744, 7901, 2609, 8428, 3982, 569, 689, 5925, 16181, 1317, 789, 1450, 3755, 547, 2824, 2789, 5079, 267, 2864, 982, 513, 2582, 3903, 269, 1452, 616, 1271, 4245, 585, 1346, 1565, 547, 3009, 563, 21366, 281, 476, 5952, 274, 1982, 30949, 454, 2080, 649, 1397, 875, 547, 1039, 513, 3095, 865, 602, 952, 707, 3593, 30390, 513, 3095, 267, 596, 666, 723, 873, 7914, 547, 513, 1808, 1858, 593, 707, 3896, 269, 901, 568, 1360, 3730, 267, 5103, 602, 972, 568, 513, 17079, 538, 519, 1062, 649, 616, 1210, 269, 18378, 16046, 568, 1390, 585, 2870, 2241, 267, 2656, 547, 1224, 14103, 7270, 269, 17949, 2336, 21366, 281, 476, 276, 2764, 1982, 30949, 454, 9213, 649, 1451, 547, 946, 22898, 5049, 547, 2511, 2609, 269, 901, 568, 1776, 3888, 618, 540, 1250, 3126, 593, 1565, 547, 3009, 9001, 519, 1863, 24927, 290, 2086, 1357, 3498, 269, 11289, 596, 585, 8384, 269, 7490, 899, 543, 24049, 547, 1489, 713, 8756, 563, 21366, 281 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 8086, 9789, 5086, 540, 8086, 11224, 519, 5086, 540, 11841, 1765, 933, 666, 1294, 602, 519, 3239, 543, 1843, 616, 519, 1482, 3845, 689, 519, 11604, 269, 901, 568, 513, 5691, 3239, 267, 2094, 621, 3112, 581, 15810, 9789, 12345, 1152, 2408, 547, 22132, 689, 513, 1455, 1448, 3297, 519, 11604, 269, 30052, 267, 952, 596, 3802, 3297, 519, 11604, 267, 596, 3112, 1294, 519, 3239, 267, 2094, 519, 12345, 798, 711, 979, 972, 269, 1809, 538, 4395, 540, 519, 11604, 267, 519, 12345, 13789, 4010, 607, 952, 789, 1185, 2097, 689, 3297, 519, 11604, 267, 865, 602, 568, 1141, 519, 3239, 568, 13883, 780, 3086, 1577, 721, 2015, 519, 17122, 3259, 540, 513, 11604, 1765, 1721, 1383, 267, 519, 6677, 1511, 20085, 19141, 538, 7612, 476, 273, 269, 681, 904, 540, 1769, 602, 10880, 519, 2627, 1246, 519, 1876, 540, 8086, 269, 1280, 513, 11604, 602, 568, 1804, 3379, 609, 922, 8953, 540, 22441, 267, 607, 538, 7612, 476, 273, 5416, 1070, 649, 1294, 602, 519, 10630, 12345, 798, 711, 3444, 693, 519, 1482, 1448, 267, 543, 519, 11604, 1281, 711, 723, 513, 1134, 20452, 17122, 1448, 269, 1403, 519, 11604, 1185, 519, 3337, 540, 513, 29236, 267, 519, 12345, 1131, 782, 3444, 693, 513, 2582, 1448, 267, 543, 519, 11604, 1131, 723, 513, 1134, 20452, 17122, 1448, 269, 1809, 1612, 20326, 19141, 616, 1454, 811, 7199, 547, 1118, 982, 20085, 19141, 269, 634, 3070, 568, 547, 946, 513, 11604, 602, 568, 1507, 3379, 609, 922, 8953, 540, 22441, 267, 607, 3254, 538, 7612, 476, 273, 6357, 1040, 630, 1607, 568, 519, 11604, 6697, 540, 519, 6094, 7828, 19406, 4700, 1677, 513, 1360, 1434, 19406, 267, 713, 11604, 814, 513, 1134, 20452, 17122, 1448, 693, 674, 602, 568, 519, 17122, 3845, 476, 1109, 5228, 519, 4099, 540, 519, 11604, 269, 634, 17122, 3259, 540, 513, 6677, 1511, 11604, 568, 2318, 267, 2094, 621, 568, 513, 4780, 3101, 11604, 780, 9617, 607, 585, 14485, 267, 519, 10156, 519, 17122, 3259, 267, 519, 811, 3532, 519, 11604, 282, 3976, 267, 585, 513, 11604, 267, 1932, 269, 589, 811, 9244, 17208, 11604, 814, 513, 10156, 17122, 3259, 543, 513, 3152, 1379, 269, 4635, 519, 1876, 540, 8086, 543, 930, 2241, 29890, 267, 621, 666, 581, 3254, 602, 519, 17122, 3259, 568, 3368, 519, 8953, 540, 22441, 267, 610, 692, 3602, 568, 519, 8953, 540, 22441, 540, 513, 20085, 11604, 269, 634, 4130, 519, 8953, 540, 22441, 267, 519, 4130, 519, 17122, 3259, 543, 267, 3976, 267, 519, 811, 3532, 519, 11604, 780, 763, 23756, 11604, 3254, 538, 7612, 476, 274, 849, 814, 513, 17122, 1448, 269, 23155, 12345, 540, 1769, 10630, 689, 519, 11604, 3100, 547, 22132, 689, 519, 1448, 674, 693, 519, 17122, 3845, 3297, 519, 11604, 269, 634, 17122, 3259, 543, 1379, 540, 513, 23756, 11604, 616, 2942, 267, 2094, 621, 568, 513, 11651, 3101, 11604, 780, 305, 599, 16439, 568, 607, 3730, 585, 19141, 607, 585, 14485, 269, 634, 3652, 585, 18422, 16439, 585, 19141, 616, 1759, 593, 519, 12383, 1175, 5941, 1384, 272, 269, 589, 18422, 16042, 513, 6677, 1511, 4780, 3101, 11604, 6252, 547, 922, 7852, 568, 10630, 998, 519, 17122, 1448, 674, 540, 519, 11604, 593, 519, 1482, 2427, 269, 630, 8450, 12345, 476, 272, 543, 476, 274, 538, 7612, 476, 273, 6357, 1040, 994, 273, 269, 589, 18422, 16042, 513, 23756, 11651, 3101, 11604, 6252, 547, 922, 7852, 568, 10630, 865, 602, 621, 4667, 547, 2097, 689, 519, 17122, 1448, 674, 3297, 519, 11604, 269, 630, 8450, 12345, 476, 272, 543, 476, 274, 538, 7612, 476, 274, 8094, 274, 269, 7102, 18422, 11495, 519, 4099, 540, 513, 11604, 568, 4553, 676, 7311, 519, 1876, 540, 8086, 282, 621, 2306, 519, 1482, 5086, 609, 519, 7852, 950, 6028, 607, 950, 16042, 269, 630, 8450, 18422, 476, 273, 538, 7612, 476, 275, 8094, 275, 269, 589, 18422, 16042, 513, 6677, 1511, 4780, 3101, 11604, 998, 922, 17122, 1448, 568, 10630, 6252, 547, 922, 7852, 269, 630, 763, 9258, 540, 12345, 476, 272, 543, 476, 274, 538, 7612, 476, 273, 8094, 276, 269, 589, 18422, 16042, 513, 23756, 11651, 3101, 11604, 676, 16144, 4724, 922, 17122, 1448, 593, 519, 6587, 2427, 568, 10630, 6252, 547, 519, 7852, 269, 630, 763, 9258, 540, 12345, 476, 272, 543, 476, 274, 538, 7612, 476, 274, 24355, 2171, 786, 946, 18422, 16439, 547, 9414, 875, 2592, 616, 4646, 676, 19141, 267, 543, 649, 666, 946, 18422, 16439, 11050, 569, 547, 3489, 10230, 1344, 269, 1809, 2094, 649, 8263, 1142, 11604, 568, 1507, 3379, 609, 922, 8953, 540, 22441, 267, 649, 666, 946, 519, 6094, 7828, 4834, 585, 19141, 1175, 607, 649, 1705, 585, 14485, 780, 13706, 519, 3510, 3254, 538, 7612, 476, 275, 267, 6677, 1511, 20085, 11604, 8086, 267, 538, 799, 606, 1843, 568, 5116, 20991, 689, 513, 6677, 1511, 630, 935, 591, 3101, 264, 11604, 982, 922, 17122, 3259, 269, 2334, 568, 267, 568, 2318, 543, 2073, 865, 602, 649, 949, 2503, 606, 3239, 2147, 547, 519, 2013, 476, 272, 1483, 3239, 4646, 676, 513, 4780, 3101, 7828, 269, 14105, 16439, 538, 7612, 476, 275, 2982, 602, 519, 12345, 689, 513, 1455, 1448, 593, 519, 1843, 782, 3444, 693, 513, 1448, 593, 519, 1482, 2427, 540, 519, 11604, 607, 519, 1843, 269, 4935, 513, 1483, 3239, 666, 581, 15810, 5196, 513, 5496, 5116, 693, 713, 4087, 269, 634, 3239, 3845, 568, 2318, 267, 543, 519, 3239, 568, 30141, 267, 865, 922, 3172, 2305, 568, 2942, 269, 901, 568, 513, 2013, 476, 272, 3239, 585, 19141, 269, 898, 15320, 689, 519, 2013, 476, 272, 3239, 585, 14485, 1152, 538, 602, 519, 3239, 568, 593, 519, 1482, 2427, 540, 519, 11604, 607, 519, 1843, 269, 898, 568, 6382, 9838, 780, 2162, 7151, 476, 272, 281, 589, 19270, 1511, 14484, 528, 692, 25821, 4055, 28909, 946, 513, 6677, 1511, 11604, 547, 2992, 18342, 630, 7644, 264, 5982, 689, 3905, 27810, 269, 8074, 602, 16843, 5205, 519, 1482, 1876, 540, 8086, 607, 7298, 1769, 269, 9717, 602, 519, 11604, 814, 513, 8953, 540, 22441, 540, 476, 2004, 269, 271, 4699, 543, 7472, 606, 3239, 540, 519, 27810, 476, 274, 269, 876, 544, 2476, 689, 519, 11604, 267, 1141, 616, 519, 27810, 2496, 25618, 344, 543, 10417, 692, 2171, 616, 2016, 602, 519, 6677, 1511, 11604, 3785, 513, 1483, 3239, 540, 519, 27810, 693, 606, 3239, 3845, 1547, 634, 27810, 616, 519, 1843, 267, 543, 649, 616, 4280, 547, 1265, 741, 4087, 20196, 568, 267, 547, 1265, 519, 1843, 3845, 546, 29081, 269, 1284, 616, 849, 2016, 519, 8953, 540, 22441, 540, 519, 11604, 267, 865, 602, 922, 17122, 3259, 568, 630, 27168, 2094, 519, 11604, 568, 6677, 1511, 610, 4780, 3101, 1040, 32114, 519, 11604, 568, 1507, 3379, 609, 922, 8953, 540, 22441, 267, 649, 666, 946, 519, 6094, 7828, 4834, 267, 547, 4194, 713, 1966, 780, 11405, 692, 7712, 543, 616, 1634, 267, 6094, 7828, 3830, 666, 581, 1031, 547, 1265, 23241, 305, 792, 337, 4474, 547, 20586, 3947, 692, 11767, 532, 1634, 9424, 3947, 513, 1871, 585, 23241, 1607, 1590, 581, 30141, 547, 1265, 23241, 30206, 692, 9616, 602, 519, 1843, 630, 1492, 27129, 264, 568, 20991, 689, 519, 11604, 982, 519, 11604, 779, 17122, 3259, 269, 901, 568, 513, 2013, 476, 272, 3239, 630, 543, 2318, 1070, 5812, 609, 519, 1249, 602, 513, 1483, 3239, 568, 4646, 269, 1411, 786, 1205, 519, 1034, 13671, 8143, 1648, 2047, 538, 4395, 540, 519, 11604, 543, 476, 274, 269, 876, 544, 2476, 689, 621, 269, 13575, 267, 713, 568, 711, 14909, 267, 2094, 621, 1223, 2014, 17236, 269, 15394, 267, 596, 1616, 519, 12345, 547, 10836, 6252, 267, 543, 713, 568, 12913, 676, 2348, 519, 27129, 693, 519, 17122, 1448, 540, 519, 11604, 780, 9616, 602, 519, 27129, 1934, 568, 711, 1454, 20991, 689, 519, 11604, 982, 922, 17122, 3259, 543, 602, 519, 3239, 3812, 568, 14320, 20991, 2476, 269, 901, 568, 4010, 26922, 547, 513, 13472, 1788, 528, 269, 1773, 5217, 513, 13472, 1152, 5594, 20991, 2476, 689, 519, 1788, 528, 7828, 982, 922, 17122, 3259, 7472, 606, 3239, 3648, 20991, 2476, 269, 1306, 519, 1843, 4991, 6251, 547, 519, 17122, 3845, 267, 519, 3239, 4991, 20991, 2476, 269, 769, 1249, 267, 607, 519, 1843, 3845, 4485, 519, 17122, 3259, 267, 519, 3239, 3845, 4485, 20581, 543, 519, 12345, 616, 2366, 856, 6252, 547, 835, 1776, 780, 2162, 7151, 476, 273, 281, 9891, 11272, 9198, 908, 3590, 692, 3080, 540, 519, 3859, 4066, 1031, 2221, 585, 10451, 5201, 568, 513, 3926, 630, 21406, 513, 1612, 20326, 512, 893, 610, 23622, 21689, 264, 602, 30211, 519, 7943, 5196, 513, 3109, 2989, 10612, 602, 3568, 513, 5714, 269, 901, 12699, 5714, 568, 29253, 547, 513, 3002, 9401, 9734, 267, 1141, 922, 3002, 1648, 568, 11843, 547, 1776, 1062, 602, 568, 1031, 547, 5352, 9252, 11652, 865, 5352, 5201, 998, 513, 6671, 9252, 4783, 269, 7612, 476, 276, 2982, 971, 513, 2324, 1062, 538, 7013, 4993, 269, 19270, 1511, 19141, 616, 1031, 547, 13404, 519, 7943, 5196, 519, 10612, 269, 634, 11604, 814, 519, 16977, 3337, 540, 513, 3296, 540, 513, 12718, 269, 1280, 519, 1966, 267, 8263, 602, 519, 11604, 568, 4010, 835, 6709, 6621, 540, 513, 2407, 12718, 780, 272, 269, 1403, 649, 6999, 547, 1747, 519, 5714, 21307, 11538, 10612, 476, 2412, 269, 271, 4699, 689, 519, 6677, 1511, 11604, 693, 519, 11604, 779, 17122, 1448, 267, 1018, 786, 581, 519, 8953, 540, 22441, 540, 519, 11604, 888, 273, 269, 3131, 11281, 540, 10612, 267, 1018, 786, 581, 519, 2179, 540, 7943, 13671, 5196, 519, 10612, 267, 14322, 519, 1202, 15684, 630, 4532, 1211, 3859, 5982, 264, 568, 15017, 274, 269, 1403, 519, 5714, 21307, 11538, 10612, 814, 513, 476, 273, 269, 876, 2275, 332, 8006, 267, 1018, 786, 581, 519, 2837, 2333, 540, 519, 5714, 829, 11281, 540, 10612, 936, 513, 1974, 540, 835, 8792, 286, 27539, 782, 519, 3859, 5982, 10071, 593, 519, 2992, 528, 568, 12842, 676, 519, 10612, 267, 543, 602, 519, 5714, 568, 7777, 3282, 780, 25618, 344, 692, 2414, 4194, 606, 21091, 10417, 9046, 649, 1590, 1101, 2697, 519, 2168, 3741, 3238, 269, 3487, 630, 320, 264, 568, 1644, 547, 519, 1699, 1888, 269, 3487, 630, 321, 264, 3322, 513, 2370, 2979, 267, 5097, 9511, 269, 3487, 630, 322, 264, 3340, 606, 1620, 540, 3002, 543, 5860, 780, 11405, 547, 630, 320, 2020, 2414, 513, 1434, 19406, 585, 513, 6677, 1511, 610, 10859, 17898, 17202, 2627, 267, 519, 1448, 1141, 519, 6252, 12345, 689, 519, 3141, 27721, 786, 581, 693, 519, 17122, 1448, 267, 865, 16317, 11405, 547, 630, 321, 2020, 763, 1202, 15684, 568, 1547, 1284, 1590, 1265, 519, 3444, 22891, 1858, 540, 519, 6677, 1511, 11604, 267, 2094, 519, 1379, 9447, 568, 1547, 634, 11604, 538, 713, 2013, 568, 513, 10116, 16687, 540, 513, 12718, 267, 865, 519, 1858, 585, 513, 3259, 540, 519, 11604, 568, 1547, 634, 1858, 585, 513, 3259, 540, 476, 272, 269, 876, 544, 568, 1287, 692, 763, 1202, 15684, 593, 519, 476, 272, 269, 876, 2173, 3259, 540, 10612, 568, 1287, 692, 11405, 547, 630, 322, 2020, 763, 2333, 538, 2837, 568, 2016, 676, 1547, 634, 2527, 540, 519, 7777, 3282, 538, 519, 835, 2173, 2678, 3296, 540, 10612, 568, 692, 11997, 267, 519, 2333, 538, 2837, 538, 835, 8792, 568, 692, 30206, 585, 630, 322, 2020, 2304, 5044, 540, 971, 12992, 538, 519, 4993, 9390, 666, 1683, 513, 8143, 3977, 540, 476, 7742, 24448, 593, 513, 13566, 1554, 267, 609, 12862, 8757, 5210, 607, 1164, 607, 1547, 1284, 616, 6236, 1152, 835, 11281, 540, 10612, 1934, 267, 543, 24937, 3002, 9271, 2059, 519, 10612, 780, 1432, 4523, 952, 606, 1843, 568, 6251, 547, 513, 6677, 1511, 11604, 982, 922, 17122, 3259, 286, 901, 568, 26922, 547, 513, 2013, 476, 273, 3239, 585, 14485, 630, 543, 2318, 1070, 799, 568, 513, 3172, 8595, 269, 769, 1249, 267, 713, 568, 875, 17539, 19141, 957, 607, 3172, 13294, 269, 7612, 476, 277, 5416, 264, 3096, 18422, 16439, 547, 12398, 519, 3239, 540, 606, 1843, 5116, 2673, 547, 513, 6677, 1511, 11604, 269, 681, 904, 689, 513, 1455, 1448, 593, 519, 1843, 616, 10630, 538, 971, 513, 6073, 602, 789, 2408, 547, 581, 4947, 689, 3297, 519, 11604, 267, 2495, 602, 519, 3239, 568, 5691, 543, 3112, 581, 15810, 269, 1306, 609, 513, 3172, 4328, 4837, 267, 519, 3239, 568, 20005 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 1012, 1215, 798, 596, 6961, 519, 3017, 540, 18695, 2496, 2171, 666, 6961, 713, 1210, 9971, 6498, 269, 3689, 267, 649, 1413, 693, 519, 5072, 540, 513, 274, 1107, 536, 274, 543, 5612, 649, 666, 1294, 602, 952, 513, 815, 536, 267, 1287, 513, 274, 1107, 536, 274, 815, 476, 271, 267, 865, 630, 320, 1532, 264, 568, 513, 3815, 269, 8921, 267, 27682, 621, 281, 513, 274, 1107, 536, 274, 815, 513, 274, 1341, 476, 271, 320, 273, 321, 1341, 476, 271, 629, 273, 1107, 536, 274, 543, 946, 10991, 630, 528, 1279, 264, 6498, 547, 1265, 519, 824, 3815, 780, 1432, 568, 519, 4542, 585, 519, 3017, 540, 1079, 18695, 2496, 763, 2040, 610, 3017, 540, 1079, 18695, 666, 581, 1249, 1819, 883, 513, 1587, 540, 513, 23481, 2053, 513, 959, 30796, 269, 2334, 568, 267, 1535, 274, 20742, 274, 14352, 343, 20742, 7565, 343, 273, 6629, 15383, 20742, 273, 264, 543, 1535, 274, 6629, 344, 274, 14352, 343, 6629, 344, 7565, 343, 273, 266, 15383, 20742, 273, 264, 16317, 2162, 1772, 972, 513, 3017, 540, 18695, 2496, 11764, 610, 16338, 540, 10699, 525, 589, 9971, 538, 519, 1106, 513, 476, 274, 1341, 536, 476, 274, 568, 1572, 513, 2040, 540, 18695, 269, 589, 9971, 538, 519, 1106, 513, 476, 274, 1107, 536, 476, 274, 568, 1572, 513, 3017, 540, 18695, 780, 1432, 568, 519, 2040, 3017, 540, 18695, 4542, 2496, 2690, 519, 3017, 540, 18695, 267, 519, 968, 2381, 639, 892, 1129, 4422, 538, 519, 5276, 3815, 267, 513, 6567, 536, 282, 585, 519, 2040, 540, 18695, 267, 519, 968, 2381, 639, 892, 1129, 4422, 538, 519, 13392, 3815, 267, 513, 273, 6567, 705, 1341, 536, 273, 780, 2971, 1548, 568, 519, 1383, 540, 3017, 540, 1079, 18695, 2496, 7078, 689, 16387, 1384, 343, 274, 815, 586, 274, 1341, 1535, 273, 3287, 6567, 586, 264, 1341, 27976, 3287, 6567, 586, 264, 1341, 586, 273, 3287, 6567, 586, 994, 343, 274, 6567, 586, 274, 815, 1535, 273, 3287, 6567, 586, 264, 1341, 27976, 3287, 6567, 586, 264, 1341, 586, 273, 3287, 6567, 586, 994, 343, 274, 6567, 586, 274, 815, 630, 343, 6567, 586, 7565, 343, 273, 1341, 27976, 1341, 586, 273, 2020, 1692, 798, 596, 4194, 519, 3017, 540, 1079, 10945, 2496, 2691, 606, 4082, 666, 581, 9763, 607, 519, 3017, 540, 1079, 3501, 10945, 267, 1775, 4318, 269, 513, 11054, 1532, 11054, 267, 1287, 649, 666, 3815, 621, 607, 630, 320, 17070, 7565, 320, 1532, 1040, 1280, 1383, 267, 1535, 11054, 268, 1839, 666, 581, 1249, 1819, 607, 630, 343, 266, 276, 7565, 343, 268, 276, 1040, 901, 1505, 568, 1759, 593, 519, 4806, 630, 320, 17070, 7565, 320, 1532, 6661, 320, 11054, 1532, 11054, 267, 799, 666, 581, 20240, 676, 9750, 519, 24324, 538, 630, 320, 17070, 7565, 320, 1532, 6393, 1012, 6904, 616, 3604, 540, 3501, 18695, 2496, 288, 23481, 3815, 630, 320, 1107, 536, 264, 1500, 909, 540, 519, 1079, 13306, 5072, 540, 519, 3501, 18695, 9674, 676, 513, 14263, 1129, 269, 1403, 519, 13306, 3884, 1406, 972, 267, 543, 519, 1297, 568, 4130, 982, 519, 4102, 13306, 593, 519, 1592, 267, 1287, 519, 1297, 3884, 1406, 513, 3501, 13306, 269, 1280, 8273, 2338, 267, 946, 513, 3621, 9498, 543, 519, 13306, 3597, 7735, 780, 1692, 1705, 596, 4625, 3815, 519, 2040, 543, 3017, 540, 1079, 18695, 2328, 519, 1184, 2496, 273, 269, 5153, 8386, 9912, 7778, 281, 634, 2347, 26458, 540, 519, 2040, 610, 3017, 540, 1079, 18695, 568, 2944, 676, 1210, 513, 2241, 4542, 269, 2913, 513, 23326, 543, 536, 23326, 581, 1079, 18695, 563, 274, 269, 630, 320, 23326, 17070, 23326, 264, 815, 630, 320, 17070, 7565, 320, 11054, 268, 629, 17070, 11054, 264, 1280, 1383, 1107, 16748, 519, 4082, 630, 320, 23326, 266, 2767, 994, 275, 269, 630, 320, 23326, 1532, 23326, 264, 815, 630, 320, 1532, 7565, 320, 11054, 266, 629, 17070, 11054, 264, 1280, 1383, 1107, 16748, 519, 4082, 630, 320, 23326, 268, 2767, 2020, 2162, 1215, 798, 596, 946, 519, 2040, 540, 18695, 4542, 2496, 763, 2040, 540, 18695, 630, 320, 274, 1341, 536, 274, 264, 4542, 568, 6829, 607, 513, 274, 1341, 536, 274, 815, 630, 320, 1341, 536, 264, 630, 320, 273, 1107, 705, 1341, 536, 273, 6393, 1432, 568, 519, 3017, 540, 18695, 4542, 2496, 763, 3017, 540, 18695, 4542, 568, 267, 513, 476, 274, 1107, 536, 476, 274, 815, 630, 320, 1107, 536, 7565, 320, 476, 273, 1341, 705, 1341, 536, 476, 273, 264, 3245, 519, 2016, 3830, 267, 513, 815, 476, 276, 6902, 536, 815, 476, 274, 476, 276, 476, 274, 1107, 476, 274, 476, 274, 815, 630, 276, 1107, 476, 274, 264, 630, 276, 476, 273, 1341, 630, 276, 7565, 274, 264, 1341, 476, 274, 476, 273, 264, 815, 476, 273, 6398, 630, 1839, 1341, 476, 1428, 1341, 476, 280, 2020, 2971, 1215, 798, 596, 6961, 513, 3017, 540, 18695, 2496, 288, 3017, 540, 18695, 568, 540, 1576, 513, 3501, 13306, 14263, 513, 3501, 13306, 269, 1284, 666, 6961, 713, 1210, 9971, 6498, 269, 3689, 267, 649, 1413, 693, 519, 5072, 540, 513, 476, 274, 1107, 536, 476, 274, 543, 5612, 649, 666, 1294, 602, 952, 513, 815, 536, 267, 1287, 513, 476, 274, 1107, 536, 476, 274, 815, 476, 271, 267, 865, 630, 320, 1532, 264, 568, 513, 3815, 780, 1432, 568, 519, 6169, 540, 519, 4542, 2496, 763, 6169, 540, 519, 4542, 568, 1360, 2241, 269, 1677, 6961, 519, 4542, 568, 6190, 547, 9062, 519, 4082, 281, 7151, 476, 272, 269, 16748, 2213, 1535, 274, 1107, 476, 2767, 269, 8827, 281, 15233, 519, 3017, 540, 18695, 4542, 269, 7151, 476, 273, 269, 16748, 2213, 476, 279, 1535, 274, 1107, 476, 2767, 586, 277, 16317, 1012, 6904, 4082, 4386, 538, 519, 3017, 540, 1079, 18695, 2496, 2304, 4082, 602, 4386, 538, 519, 3017, 540, 1079, 18695, 2356, 568, 1360, 2182, 547, 5544, 269, 634, 3017, 1063, 519, 1079, 18695, 568, 3160, 547, 519, 3017, 540, 741, 13306, 5072, 267, 799, 3568, 519, 13306, 5072, 685, 10945, 543, 519, 6587, 540, 519, 13306, 5072, 685, 1587, 269, 0, 2252, 590, 910, 570, 1797, 1412, 306, 262, 568, 519, 7385, 540, 1412, 307, 3299, 590, 1341, 570, 1797, 1412, 306, 262, 568, 519, 546, 13774, 1923, 8606, 334, 454, 9223, 692, 5002, 272, 5784, 692, 258, 1403, 590, 910, 570, 1797, 1412, 306, 262, 568, 519, 7385, 540, 1412, 307, 3299, 590, 1341, 570, 1797, 1412, 306, 262, 568, 519, 8250, 540, 570, 543, 590, 383, 371, 1109, 307, 1797, 1412, 306, 262, 568, 519, 5067, 540, 1412, 307, 262, 1287, 1018, 786, 1535, 631, 266, 297, 383, 371, 1109, 298, 1611, 2496, 272, 269, 1412, 298, 262, 568, 519, 4651, 540, 1412, 300, 7055, 273, 269, 1412, 300, 262, 568, 519, 6264, 323, 5922, 540, 918, 454, 274, 269, 1412, 297, 262, 568, 7385, 540, 1412, 298, 7055, 275, 269, 1412, 298, 262, 543, 1412, 300, 262, 616, 14552, 454, 276, 269, 7183, 540, 891, 692, 11405, 454, 15008, 26840, 1496, 321, 316, 568, 2953, 269, 631, 1341, 808, 1797, 1412, 300, 262, 568, 519, 8250, 540, 1412, 297, 8339, 808, 383, 371, 298, 1797, 1412, 297, 262, 568, 519, 5067, 540, 1412, 298, 262, 780, 5611, 700, 10105, 692, 12441, 333, 1405, 1174, 519, 3070, 286, 0, 25648, 6473, 9255, 10025, 15873, 692, 13981, 8691, 1739, 10203, 267, 1840, 267, 607, 1134, 607, 12408, 568, 1434, 269, 8866, 1174, 12980, 3842, 513, 5214, 11144, 269, 901, 13120, 540, 1620, 12980, 568, 2356, 519, 7766, 281, 10203, 267, 1840, 267, 12408, 267, 8691, 267, 543, 6038, 8257, 269, 901, 3948, 6770, 827, 519, 13214, 1946, 3605, 12980, 609, 713, 3126, 286, 4107, 11932, 267, 1946, 1174, 8691, 1310, 10203, 267, 1840, 267, 543, 12408, 1354, 6498, 2496, 272, 269, 8479, 9094, 1265, 856, 10203, 1101, 676, 1997, 908, 8642, 3688, 1818, 946, 540, 741, 3946, 269, 589, 829, 1061, 1043, 14745, 281, 1215, 1082, 13212, 2291, 689, 519, 11127, 286, 2859, 7493, 1383, 568, 950, 9907, 723, 596, 1044, 888, 273, 269, 3245, 10203, 5515, 267, 519, 1739, 26363, 5123, 568, 1840, 5916, 609, 12408, 269, 18827, 543, 12408, 7515, 666, 581, 1360, 3407, 3450, 2645, 585, 19920, 1317, 789, 616, 3308, 2200, 2870, 519, 5912, 689, 10203, 1454, 4443, 563, 274, 269, 6904, 786, 581, 4362, 909, 4947, 267, 8691, 610, 6498, 286, 18527, 568, 695, 2180, 663, 585, 1840, 269, 2311, 713, 1448, 267, 19920, 723, 513, 2754, 1702, 540, 1840, 269, 9182, 267, 8691, 568, 9090, 519, 1739, 7787, 1826, 540, 12980, 547, 3605, 780, 29619, 2596, 3741, 540, 8691, 269, 4746, 267, 6218, 519, 2596, 3741, 9001, 513, 8691, 3349, 780, 2171, 786, 6268, 513, 8691, 1383, 269, 4635, 513, 18527, 7305, 267, 21707, 476, 275, 2053, 1614, 543, 10536, 513, 3070, 476, 1321, 281, 476, 275, 676, 476, 274, 815, 476, 1321, 269, 634, 10167, 540, 4737, 513, 1906, 543, 6241, 2185, 540, 707, 18527, 7305, 568, 12964, 282, 12964, 568, 9090, 519, 3210, 269, 1280, 1453, 4358, 547, 1174, 8691, 267, 713, 568, 6157, 2241, 269, 1358, 666, 946, 1840, 547, 9004, 519, 3390, 4061, 3413, 15256, 602, 8691, 568, 695, 2180, 663, 585, 1840, 269, 7151, 281, 476, 275, 676, 476, 274, 815, 476, 275, 476, 275, 476, 275, 815, 476, 1321, 269, 898, 568, 2731, 606, 24077, 7650, 540, 519, 18527, 7305, 269, 634, 3773, 4324, 267, 519, 18527, 7305, 568, 7298, 543, 9727, 13059, 547, 12423, 1840, 780, 1103, 799, 786, 649, 2253, 4974, 8691, 1210, 519, 18527, 7305, 2496, 272, 269, 15020, 1101, 267, 1205, 31235, 609, 519, 3349, 563, 273, 269, 5192, 3323, 609, 14921, 676, 835, 1880, 269, 3399, 1055, 693, 4737, 1297, 835, 269, 3619, 593, 547, 6241, 1948, 476, 272, 269, 634, 10167, 540, 4737, 476, 272, 543, 6241, 835, 568, 519, 3070, 281, 835, 563, 274, 269, 1234, 2017, 2590, 891, 3527, 585, 14921, 676, 835, 269, 25092, 4737, 513, 2582, 676, 9587, 513, 2582, 998, 476, 1321, 269, 634, 3435, 616, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 267, 476, 279, 267, 476, 280, 267, 476, 1015, 267, 476, 1556, 267, 543, 476, 1321, 6606, 563, 275, 269, 1234, 12393, 891, 2553, 585, 14921, 676, 1079, 269, 21561, 4737, 1079, 676, 9708, 835, 1880, 676, 1259, 540, 476, 276, 1585, 269, 634, 4267, 616, 476, 273, 267, 476, 275, 267, 476, 277, 267, 476, 279, 267, 543, 476, 1015, 6606, 563, 276, 269, 2913, 721, 20014, 6619, 540, 942, 269, 19244, 891, 3268, 585, 14921, 676, 476, 276, 269, 21561, 4737, 476, 276, 676, 9708, 835, 676, 1797, 540, 476, 1321, 269, 634, 30491, 616, 476, 276, 267, 476, 1015, 267, 476, 1428, 267, 476, 736, 267, 476, 1839, 267, 476, 1789, 267, 476, 3374, 267, 476, 2412, 267, 476, 3393, 267, 476, 2004, 267, 476, 4649, 267, 543, 476, 2568, 6606, 563, 277, 269, 3767, 1577, 721, 6318, 519, 7274, 540, 2042, 269, 19244, 891, 2409, 585, 14921, 676, 513, 1906, 269, 21561, 4737, 476, 274, 676, 9587, 835, 676, 1259, 540, 12964, 269, 634, 3435, 616, 476, 274, 267, 476, 277, 267, 476, 280, 267, 476, 1321, 267, 476, 1428, 267, 476, 1240, 267, 476, 2641, 267, 476, 2190, 267, 476, 2767, 267, 476, 1789, 267, 476, 3451, 267, 543, 476, 3607, 5330, 5944, 563, 278, 269, 769, 2013, 596, 616, 8746, 609, 8691, 547, 4266, 267, 2015, 1210, 513, 6514, 269, 1763, 9876, 519, 1985, 8691, 2042, 538, 707, 2212, 543, 1310, 602, 5635, 707, 6114, 593, 519, 18527, 7305, 281, 21707, 3368, 513, 18797, 543, 476, 273, 267, 9062, 8370, 543, 476, 274, 267, 1332, 513, 2582, 543, 476, 1556, 267, 1332, 1896, 543, 476, 275, 267, 543, 9062, 1896, 607, 1134, 607, 476, 273, 269, 634, 3390, 4267, 616, 476, 1321, 267, 476, 2767, 267, 476, 1556, 267, 476, 1626, 267, 543, 476, 1691, 6606, 780, 19675, 596, 3893, 476, 275, 856, 540, 476, 276, 7965, 2953, 267, 1374, 707, 1378, 8691, 11400, 269, 6480, 1493, 519, 3435, 538, 707, 2247, 267, 543, 2638, 873, 9001, 519, 18527, 7305, 269, 0, 258, 14466, 10455, 4926, 267, 19556, 692, 763, 1739, 2376, 568, 689, 634, 4279, 8168, 15610, 630, 3192, 280, 1040, 898, 1522, 581, 22573, 610, 1361, 10999, 21678, 780, 1012, 14466, 10455 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 290, 641, 1716, 16307, 729, 4535, 5988, 476, 866, 267, 476, 15704, 274, 538, 5695, 517, 267, 12996, 269, 1261, 729, 4535, 883, 513, 3638, 1920, 267, 2705, 2073, 1010, 3237, 5747, 950, 646, 729, 1762, 269, 1261, 543, 1010, 16254, 941, 7550, 676, 741, 11515, 945, 729, 849, 3638, 543, 3532, 563, 4263, 519, 2085, 540, 476, 1240, 10515, 1716, 16307, 2451, 12996, 547, 979, 547, 1010, 1101, 2160, 538, 7977, 267, 634, 6280, 540, 918, 21531, 578, 269, 1261, 729, 9277, 547, 1353, 4031, 543, 6042, 540, 519, 18216, 4301, 5939, 855, 3079, 646, 3323, 4974, 2979, 543, 17651, 563, 5475, 711, 11264, 2852, 693, 519, 2160, 540, 918, 21531, 578, 646, 4682, 547, 519, 6280, 540, 645, 860, 3534, 547, 1353, 4915, 543, 1876, 269, 2755, 4974, 10515, 1716, 16307, 5030, 609, 17651, 7548, 667, 1580, 4815, 12756, 632, 18937, 4673, 269, 0, 26524, 6168, 22647, 4804, 888, 8698, 901, 9452, 4580, 607, 513, 22391, 8058, 2336, 8620, 707, 1378, 2336, 12024, 1548, 1411, 6423, 888, 1607, 1650, 4580, 729, 2813, 609, 454, 303, 11823, 5295, 20873, 1341, 1015, 454, 290, 10052, 1512, 630, 28846, 594, 18793, 264, 309, 17876, 895, 21650, 630, 30469, 1853, 595, 668, 6202, 18793, 994, 268, 8176, 594, 910, 3689, 4622, 4693, 539, 543, 13401, 268, 595, 668, 6202, 6205, 540, 20448, 454, 268, 8176, 4083, 5667, 15471, 2685, 6285, 4789, 268, 4107, 23597, 7333, 1639, 547, 7178, 8581, 268, 8830, 30808, 2744, 1379, 896, 1455, 17314, 454, 13349, 17314, 815, 630, 3467, 610, 1447, 264, 6243, 454, 268, 634, 11596, 267, 512, 11232, 985, 267, 3092, 269, 616, 6569, 268, 7402, 2227, 3022, 2069, 585, 782, 1004, 910, 25175, 936, 476, 1691, 586, 270, 334, 9575, 968, 2889, 325, 22135, 519, 7083, 779, 4303, 892, 1223, 581, 535, 1441, 454, 14917, 271, 910, 3933, 8944, 17468, 267, 8176, 4083, 568, 4622, 12739, 276, 910, 3571, 5067, 630, 22832, 4083, 264, 12374, 17599, 267, 16175, 18216, 4301, 12739, 279, 910, 3571, 8250, 5932, 968, 294, 3271, 1190, 7169, 892, 12739, 280, 910, 2296, 9291, 540, 7126, 543, 17290, 3933, 8944, 454, 7021, 476, 1691, 28985, 454, 8620, 3733, 3689, 9452, 4580, 0, 26524, 6168, 22647, 4804, 888, 24336, 18882, 9452, 454, 8698, 901, 9452, 4580, 607, 513, 22391, 8058, 2336, 8620, 707, 1378, 2336, 12024, 1548, 1411, 6423, 888, 1607, 1650, 4580, 729, 2813, 609, 454, 1103, 519, 22073, 972, 729, 1100, 4708, 269, 769, 606, 4212, 540, 586, 514, 543, 21583, 267, 1727, 657, 2572, 10692, 543, 11130, 563, 11073, 540, 519, 4212, 267, 3357, 513, 9649, 3957, 7754, 2871, 269, 1261, 11542, 538, 519, 1647, 540, 519, 3618, 543, 519, 6607, 563, 5475, 1296, 543, 1296, 540, 19459, 519, 19717, 267, 7754, 2871, 5747, 563, 14367, 1085, 1638, 2968, 519, 6607, 269, 3571, 4552, 2968, 6801, 543, 7362, 2968, 2842, 269, 3571, 642, 1622, 941, 9897, 563, 14367, 17873, 2968, 10239, 543, 1010, 2960, 2968, 2371, 269, 3571, 1973, 2968, 1216, 563, 32292, 2871, 2968, 513, 4190, 1747, 269, 898, 568, 10828, 602, 1010, 561, 823, 543, 7904, 553, 616, 519, 3504, 11937, 540, 812, 2186, 563, 7021, 476, 1691, 28985, 454, 8620, 3733, 3689, 9452, 4580, 0, 20058, 649, 786, 1413, 693, 9577, 16117, 267, 799, 568, 21739, 1759, 593, 519, 1568, 540, 2506, 850, 20736, 330, 8583, 476, 6977, 279, 268, 4489, 278, 269, 634, 4612, 22999, 1131, 5619, 543, 4983, 1946, 519, 1453, 941, 19071, 1242, 543, 1018, 519, 29080, 5921, 547, 519, 5171, 269, 1452, 8155, 543, 2418, 616, 4121, 676, 1514, 5238, 971, 607, 519, 1920, 267, 2069, 267, 2923, 267, 4984, 267, 1876, 543, 960, 269, 9861, 1514, 1242, 568, 2352, 543, 11213, 269, 2334, 568, 1317, 8808, 568, 865, 3309, 267, 543, 649, 616, 26752, 547, 723, 1185, 1082, 581, 659, 976, 540, 1769, 2097, 1354, 721, 538, 519, 1106, 540, 9835, 634, 528, 1235, 269, 14424, 543, 4334, 519, 1079, 1292, 25349, 6436, 540, 6760, 543, 1821, 4800, 563, 293, 23341, 1235, 5031, 519, 4998, 1920, 1826, 538, 513, 2413, 269, 631, 30639, 1572, 713, 513, 8833, 547, 606, 558, 773, 267, 543, 621, 568, 713, 2343, 1652, 7180, 799, 646, 1767, 3361, 6760, 538, 2486, 269, 1215, 835, 666, 2161, 875, 713, 3069, 568, 269, 32389, 568, 950, 972, 616, 2312, 6302, 538, 2486, 602, 2061, 1004, 689, 1140, 8724, 3160, 4567, 5103, 741, 960, 543, 4674, 2509, 1140, 8724, 971, 3853, 269, 1284, 2661, 538, 513, 1158, 1141, 649, 616, 9846, 11303, 676, 22099, 267, 17476, 267, 8613, 267, 519, 4950, 267, 543, 1454, 811, 538, 513, 1259, 602, 568, 4657, 938, 5380, 540, 5898, 269, 14100, 13187, 602, 538, 1142, 22184, 519, 4346, 568, 519, 10747, 4183, 563, 24292, 11870, 338, 616, 2486, 781, 4412, 3748, 2509, 1978, 16431, 282, 741, 513, 11437, 689, 1866, 282, 543, 741, 3044, 267, 9161, 2065, 2853, 269, 898, 786, 849, 1865, 543, 5581, 2123, 267, 14375, 267, 543, 2797, 16882, 269, 901, 1557, 786, 2263, 519, 1114, 16752, 1142, 6436, 1491, 593, 5396, 971, 607, 4984, 267, 2146, 267, 1920, 543, 2069, 269, 901, 568, 547, 519, 1198, 602, 1857, 16897, 693, 16339, 27809, 10963, 666, 7794, 1514, 17604, 269, 2859, 17618, 267, 513, 2486, 568, 606, 2804, 267, 1514, 543, 4853, 2497, 269, 4256, 1793, 25830, 1522, 581, 281, 667, 1143, 656, 548, 519, 13348, 8944, 676, 1818, 2021, 3160, 1369, 621, 269, 769, 713, 267, 646, 5941, 519, 2219, 540, 1514, 11144, 2429, 563, 21995, 7023, 569, 5872, 11710, 689, 5621, 745, 2065, 2623, 269, 3973, 519, 7084, 786, 5490, 883, 1142, 540, 519, 6436, 547, 3313, 875, 1142, 3069, 588, 2931, 909, 1996, 835, 1776, 950, 789, 616, 9788, 2427, 676, 2427, 269, 4014, 8385, 6014, 267, 547, 2057, 4550, 4149, 30146, 267, 670, 597, 2675, 3559, 4957, 547, 17557, 1143, 543, 849, 7550, 519, 811, 13998, 11807, 1101, 2012, 540, 26081, 5341, 950, 20913, 729, 513, 1126, 269, 5637, 2409, 723, 741, 26350, 538, 3160, 1318, 269, 634, 4655, 3069, 3081, 602, 1514, 1689, 568, 6225, 267, 14669, 547, 6212, 593, 1514, 1931, 269, 10572, 10453, 5555, 1451, 547, 7080, 754, 741, 1378, 1582, 4690, 585, 1346, 540, 2486, 607, 513, 2898, 267, 960, 1927, 543, 602, 1967, 538, 2069, 267, 1175, 899, 538, 2486, 267, 3322, 7029, 547, 513, 1871, 13618, 269, 898, 568, 5156, 602, 952, 835, 540, 891, 2609, 729, 12012, 610, 6569, 267, 1287, 519, 1062, 607, 606, 30810, 1131, 581, 4299, 267, 2705, 519, 1062, 568, 1360, 5827, 693, 7231, 609, 2242, 563, 1805, 1778, 568, 513, 1267, 540, 5821, 547, 8011, 693, 519, 3853, 1305, 676, 2486, 269, 634, 23398, 626, 2070, 540, 6760, 4667, 547, 11716, 519, 1249, 602, 4655, 543, 1379, 1281, 2291, 538, 2486, 269, 1452, 6436, 616, 6594, 593, 519, 2890, 610, 12550, 1377, 269, 24205, 568, 519, 1353, 540, 2486, 269, 645, 625, 3279, 543, 631, 1221, 9047, 4766, 519, 1966, 538, 713, 1259, 281, 634, 1448, 1934, 568, 267, 602, 519, 3621, 1353, 540, 1480, 1641, 2032, 814, 6663, 602, 8428, 32753, 689, 519, 6663, 540, 2168, 2257, 269, 14424, 543, 25037, 28636, 948, 3906, 3035, 3853, 543, 6859, 6008, 523, 1696, 620, 269, 6601, 24229, 8057, 909, 547, 581, 513, 1360, 7168, 8004, 267, 1200, 3158, 9846, 6766, 676, 1200, 3993, 609, 21522, 23462, 2553, 563, 763, 4612, 22999, 267, 593, 519, 824, 1688, 267, 6499, 547, 917, 1946, 1919, 616, 8345, 538, 513, 1880, 2486, 269, 4256, 2238, 616, 811, 25191, 543, 519, 10747, 4162, 540, 513, 2486, 540, 15746, 616, 1018, 796, 5809, 519, 2609, 540, 9097, 22158, 269, 14100, 1143, 568, 513, 7293, 3069, 799, 15109, 2486, 547, 581, 5258, 883, 1079, 1292, 1514, 5049, 282, 634, 681, 592, 619, 543, 519, 20709, 269, 634, 3631, 540, 5718, 1031, 616, 8200, 2390, 519, 1367, 10305, 540, 519, 3401, 267, 585, 1383, 7592, 267, 2418, 267, 1582, 268, 1211, 640, 267, 1983, 267, 543, 21941, 962, 4157, 331, 267, 476, 1001, 274, 267, 533, 269, 9521, 519, 14100, 1235, 267, 519, 6198, 1235, 2760, 2015, 7648, 538, 1920, 1272, 1759, 593, 1362, 267, 14940, 267, 4984, 543, 1327, 1275, 563, 1103, 824, 1913, 267, 621, 1797, 519, 1184, 17929, 2528, 568, 5293, 689, 835, 5108, 547, 1776, 269, 901, 3069, 568, 1759, 593, 31442, 1539, 1108, 1317, 621, 666, 581, 1759, 2390, 1367, 5872, 610, 513, 2582, 1268, 1210, 13513, 609, 606, 1843, 269, 769, 1840, 547, 713, 621, 786, 2832, 547, 3605, 799, 540, 519, 1614, 5380, 723, 519, 1034, 10083, 538, 2413, 1272, 269, 634, 1646, 540, 513, 24041, 2486, 729, 513, 1360, 15028, 3804, 585, 519, 5580, 1362, 269, 1703, 729, 513, 2603, 540, 1883, 17024, 1472, 713, 942, 945, 941, 1360, 9565, 538, 519, 5137, 540, 24205, 607, 513, 9015, 269, 898, 5956, 609, 519, 13429, 602, 1100, 957, 568, 11371, 1231, 1227, 7803, 563, 299, 28515, 267, 31012, 267, 543, 7101, 673, 12339, 24452, 27565, 22158, 568, 6353, 676, 606, 1367, 2065, 8561, 593, 7862, 269, 6270, 513, 5133, 1281, 711, 3362, 22937, 3294, 547, 1818, 543, 7836, 2724, 269, 901, 4667, 547, 581, 5621, 745, 1143, 693, 922, 1655, 269, 7994, 1614, 540, 891, 3741, 267, 543, 18783, 875, 513, 11001, 1522, 7237, 15784, 676, 705, 4575, 676, 891, 269, 1452, 616, 1806, 585, 607, 8282, 4567, 525, 543, 6913, 4567, 525, 269, 594, 723, 13671, 513, 2603, 593, 519, 1920, 543, 2069, 538, 1250, 6268, 607, 594, 3494, 602, 713, 2460, 9727, 3833, 5693, 875, 15852, 891, 1079, 6436, 616, 269, 0, 14187, 2783, 540, 519, 14779, 568, 1360, 1271, 585, 5959, 1072, 269, 18648, 14779, 2253, 547, 18053, 1282, 17678, 267, 543, 5555, 519, 4522, 21354, 8066, 519, 14779, 949, 1376, 547, 1847, 267, 543, 1256, 2887, 856, 269, 2334, 568, 1946, 621, 568, 1360, 1271, 547, 1832, 519, 14779, 538, 1434, 2783, 269, 1403, 519, 2042, 616, 5594, 10733, 267, 621, 786, 581, 6190, 547, 946, 7463, 26025, 267, 799, 786, 581, 18674, 543, 2943, 949, 581, 1447, 8886, 908, 547, 519, 960, 14779, 269, 6884, 267, 2705, 267, 602, 519, 6071, 946, 540, 3617, 26025, 568, 711, 2614, 267, 543, 1287, 596, 723, 547, 946, 513, 811, 7463, 5959, 2126, 269, 769, 2027, 2665, 267, 948, 666, 1152, 10551, 5773, 5340, 593, 519, 14779, 563, 763, 1101, 3643, 540, 519, 1126, 547, 519, 11290, 454, 9336, 3643, 547, 519, 11290, 513, 1126, 568, 585, 1864, 513, 2707, 540, 11999, 1995, 269, 23883, 513, 1126, 945, 4422, 547, 519, 11290, 585, 519, 1101, 942, 1058, 581, 18113, 5423, 585, 971, 513, 3643, 269, 6270, 7041, 949, 4125, 10647, 930, 11042, 609, 519, 1126, 543, 1397, 519, 1126, 875, 621, 5654, 11290, 269, 901, 666, 581, 2944, 1210, 519, 5769, 610, 1247, 538, 513, 1126, 781, 5042, 5959, 5604, 269, 6270, 513, 1353, 2356, 568, 13556, 513, 8799, 2681, 267, 543, 1282, 513, 3643, 547, 519, 1126, 666, 32708, 693, 519, 4023, 12682, 1446, 5129, 593, 519, 7641, 8288, 593, 519, 3774, 269, 4746, 267, 519, 11290, 945, 13000, 4522, 538, 1453, 568, 1134, 5423, 547, 960, 609, 519, 1126, 563, 29619, 540, 15482, 4079, 454, 29619, 540, 15482, 568, 513, 5959, 2596, 3028, 5340, 538, 1004, 540, 782, 6502, 269, 4475, 267, 621, 568, 13401, 693, 519, 4098, 540, 1142, 3643, 547, 519, 11290, 1317, 621, 2636, 585, 519, 9488, 6514, 540, 519, 3461, 781, 7202, 819, 4947, 269, 10435, 513, 2689, 540, 5959, 1416, 585, 1453, 666, 581, 1031, 547, 2638, 856, 875, 1453, 1020, 538, 8628, 4522, 543, 3313, 2436, 1022, 540, 519, 4522, 798, 711, 2154, 2126, 610, 3339, 8756, 269, 24641, 513, 2689, 540, 5959, 1500, 585, 4079, 568, 3274, 10992, 519, 2783, 540, 741, 4522, 543, 3313, 875, 621, 1058, 1413, 538, 513, 1880, 3461, 5650, 4549, 2218, 547, 519, 15498, 566, 540, 5959, 18032, 269, 4475, 5959, 2638, 1058, 581, 1500, 693, 2547, 2899, 513, 1032, 269, 0, 20082, 338, 630, 14140, 2278, 994, 20332, 5542, 11479, 1651, 760, 1304, 27754, 5103, 6024, 5444, 2095, 538, 1623, 335, 6222, 2681, 10641, 338, 540, 513, 14147, 11818, 3165, 454, 763, 1909, 602, 2067, 5542, 4249, 538, 27510, 27754, 2914, 603, 24932, 324, 32704, 3788, 11786, 269, 7822, 26340, 3359, 2709, 3638, 3255, 547, 2263, 875, 5542, 666, 5397, 519, 4720, 540, 10285, 10072, 1256, 538, 519, 3068, 540, 5444, 2095, 269, 1284, 11753, 11976, 267, 14498 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 3296, 593, 2985, 476, 20720, 540, 519, 1837, 267, 543, 519, 2804, 2035, 596, 723, 19017, 1282, 938, 1576, 267, 2015, 519, 4123, 4507, 602, 694, 454, 304, 269, 8058, 519, 2079, 540, 3444, 2203, 286, 1284, 666, 7941, 938, 2079, 540, 3444, 2203, 883, 1614, 6810, 281, 20548, 26021, 3747, 269, 20548, 26021, 3747, 568, 513, 2101, 5057, 540, 3444, 4779, 454, 7617, 540, 519, 1739, 786, 6175, 519, 22194, 17211, 286, 589, 269, 1323, 2333, 538, 9204, 269, 645, 269, 1323, 2333, 538, 519, 7963, 269, 595, 269, 1323, 2333, 538, 2229, 24723, 269, 667, 269, 1323, 2333, 538, 1719, 454, 20779, 663, 281, 24637, 568, 7274, 540, 513, 1434, 23138, 945, 16858, 547, 6718, 693, 1142, 10703, 22133, 3902, 269, 634, 1876, 540, 3747, 6941, 721, 602, 952, 519, 3902, 540, 1978, 20161, 4679, 2676, 8063, 543, 2491, 1079, 2188, 602, 2014, 519, 10593, 538, 519, 3666, 540, 11033, 7455, 563, 1103, 6984, 1114, 1719, 3928, 609, 1114, 1319, 20914, 1131, 635, 12393, 519, 3631, 2705, 621, 9327, 1405, 4444, 596, 1360, 1454, 269, 5221, 1719, 3928, 609, 1114, 1319, 20914, 616, 454, 1432, 568, 519, 3017, 1063, 1412, 31642, 640, 13859, 262, 543, 1412, 26625, 569, 262, 286, 1703, 568, 513, 11984, 1851, 3761, 543, 7274, 13859, 269, 18242, 6941, 519, 2623, 540, 23965, 693, 1169, 929, 454, 763, 7694, 1790, 641, 1637, 5223, 3947, 519, 1297, 540, 1004, 281, 8564, 835, 281, 513, 269, 2324, 269, 536, 269, 2324, 607, 513, 6871, 540, 519, 1297, 540, 1004, 2139, 547, 960, 269, 524, 269, 538, 519, 4074, 3196, 563, 7476, 16798, 9547, 1299, 942, 593, 6765, 538, 1169, 7084, 1931, 596, 6976, 609, 721, 256, 1284, 2327, 14167, 2298, 3070, 3561, 2059, 609, 1863, 2881, 660, 514, 1867, 2336, 5472, 2924, 11603, 256, 25767, 23412, 9736, 1001, 280, 268, 1708, 271, 20226, 21790, 8668, 12409, 623, 26404, 13456, 0, 25321, 14888, 16739, 5508, 681, 3041, 298, 6167, 29308, 310, 6020, 16249, 454, 3918, 11266, 19860, 20978, 5990, 21850, 9680, 305, 3201, 21832, 306, 4041, 307, 9898, 454, 7212, 713, 1148, 814, 1044, 1472, 2094, 519, 5137, 540, 6142, 267, 621, 568, 711, 22991, 2944, 2221, 585, 3959, 4220, 563, 288, 2679, 814, 547, 723, 513, 6417, 3666, 540, 2837, 267, 7509, 267, 543, 2604, 547, 1599, 7363, 269, 3502, 1152, 798, 519, 31269, 540, 519, 2679, 1860, 519, 3666, 267, 865, 1281, 519, 1604, 267, 519, 2679, 946, 543, 2533, 267, 543, 519, 8825, 10359, 4478, 519, 2679, 4122, 1572, 519, 23508, 563, 295, 5200, 2175, 602, 2291, 267, 602, 616, 711, 4767, 610, 10294, 267, 666, 1860, 606, 1202, 3293, 2530, 693, 513, 2663, 4266, 267, 711, 1152, 538, 519, 6708, 540, 3441, 267, 855, 547, 519, 1942, 547, 11177, 519, 3441, 607, 1134, 563, 4322, 2175, 666, 581, 1336, 538, 519, 30120, 267, 538, 519, 2497, 267, 538, 519, 16538, 6821, 267, 538, 519, 22908, 267, 538, 519, 25810, 267, 538, 519, 1140, 923, 267, 538, 519, 8022, 1062, 267, 538, 519, 21818, 1062, 267, 538, 519, 5122, 1062, 267, 538, 519, 5003, 3599, 2127, 267, 543, 538, 519, 3354, 2934, 269, 9208, 896, 8586, 24422, 798, 711, 8209, 7866, 891, 23927, 563, 17269, 3036, 12164, 14888, 3582, 1797, 602, 519, 2679, 568, 711, 8647, 7157, 563, 16787, 2207, 17803, 12164, 14888, 3582, 1797, 602, 519, 2679, 568, 8647, 855, 711, 547, 922, 2407, 652, 4390, 563, 32271, 7495, 12164, 14888, 3582, 1797, 602, 519, 2679, 568, 8647, 547, 922, 2407, 652, 4390, 543, 568, 2965, 538, 513, 2530, 6604, 7154, 269, 0, 1103, 519, 19232, 32223, 543, 12379, 32223, 7725, 540, 519, 645, 6686, 330, 330, 15142, 519, 791, 29251, 540, 513, 4874, 874, 848, 22636, 543, 606, 12979, 328, 268, 788, 714, 4689, 23009, 1143, 941, 4767, 269, 634, 2168, 2175, 540, 713, 23009, 1143, 941, 519, 1482, 607, 602, 540, 519, 9998, 267, 13811, 850, 22636, 5123, 269, 634, 791, 29251, 540, 2663, 22636, 11775, 666, 3622, 581, 13747, 676, 741, 29684, 2511, 269, 3776, 7634, 729, 5059, 593, 519, 2511, 540, 24208, 543, 593, 519, 1114, 1257, 1116, 2609, 540, 14680, 799, 2919, 1282, 519, 2038, 22636, 5123, 269, 4340, 547, 12776, 11043, 2175, 543, 10923, 2990, 267, 519, 26642, 1397, 513, 1978, 2511, 3099, 269, 634, 1617, 559, 9707, 16784, 9511, 5673, 593, 519, 11098, 5223, 543, 519, 16169, 4334, 1063, 519, 6106, 269, 769, 519, 12136, 540, 1114, 1257, 1116, 3270, 519, 2990, 1369, 513, 16784, 543, 519, 840, 11546, 845, 1049, 10286, 2450, 1404, 606, 1271, 1909, 269, 634, 1292, 22636, 7271, 538, 519, 5386, 3766, 11712, 5119, 729, 2604, 3070, 267, 1247, 21432, 3766, 11712, 12627, 27960, 1397, 4191, 540, 6422, 973, 31051, 1436, 267, 799, 538, 930, 2665, 5012, 607, 2484, 607, 519, 1646, 540, 1250, 23127, 12792, 9403, 543, 2178, 24775, 1790, 516, 31084, 10066, 269, 634, 3604, 538, 8901, 2511, 540, 519, 1482, 4224, 2010, 1683, 513, 4493, 585, 10747, 23033, 1993, 18432, 4559, 538, 519, 9456, 851, 540, 519, 645, 6686, 330, 330, 631, 1206, 269, 0, 2710, 7314, 2731, 803, 578, 286, 16485, 539, 676, 281, 10906, 21701, 1923, 7831, 9337, 281, 476, 1240, 4873, 476, 1708, 272, 454, 30360, 281, 476, 276, 270, 276, 630, 273, 16018, 994, 9288, 12976, 568, 606, 4277, 13047, 1436, 538, 602, 2937, 7314, 1810, 1405, 2965, 803, 578, 693, 1142, 824, 267, 1175, 693, 1004, 269, 918, 8636, 839, 803, 578, 547, 1577, 741, 3993, 917, 789, 2811, 4411, 610, 17237, 267, 855, 2899, 789, 1205, 513, 3787, 4587, 267, 7314, 1100, 3476, 803, 578, 547, 824, 7314, 269, 3267, 2353, 7314, 616, 2469, 547, 803, 578, 547, 930, 6708, 1765, 10472, 568, 3339, 2792, 2623, 24707, 2407, 2626, 454, 20118, 835, 949, 2307, 267, 2052, 7314, 1174, 1480, 803, 3298, 888, 4131, 721, 581, 9237, 282, 7314, 3112, 1174, 1480, 803, 3298, 269, 3267, 1809, 824, 982, 602, 267, 547, 873, 267, 621, 1175, 4992, 899, 519, 3339, 1480, 1893, 269, 901, 568, 1317, 3425, 3112, 1118, 519, 3169, 803, 578, 602, 7314, 1118, 267, 4061, 1142, 803, 578, 4992, 1114, 269, 2725, 12976, 693, 7314, 2636, 835, 547, 23769, 873, 855, 593, 513, 1377, 602, 789, 666, 5660, 563, 2080, 1993, 267, 3657, 7314, 6126, 950, 789, 803, 578, 27085, 966, 5914, 10881, 454, 290, 1846, 666, 581, 1360, 13047, 267, 2523, 950, 789, 2811, 6126, 269, 3267, 589, 1164, 1790, 17097, 803, 578, 568, 513, 1543, 3032, 267, 1247, 513, 1970, 1790, 17097, 803, 578, 949, 5815, 606, 29043, 610, 20714, 539, 6539, 1399, 269, 2334, 834, 257, 1440, 31014, 4533, 1777, 256, 834, 257, 3280, 1082, 7314, 1118, 267, 568, 849, 513, 1434, 16315, 540, 513, 6126, 3032, 563, 10144, 849, 2307, 267, 3657, 7314, 24986, 950, 789, 803, 578, 888, 763, 4128, 1689, 607, 789, 1332, 689, 6539, 29181, 883, 7314, 269, 918, 8636, 839, 803, 578, 547, 741, 11299, 950, 789, 2811, 17237, 267, 4411, 267, 610, 18901, 269, 1809, 2899, 7314, 1205, 4587, 267, 789, 946, 824, 13047, 3074, 4534, 971, 607, 586, 578, 1782, 267, 1010, 28410, 267, 543, 1332, 1782, 4534, 547, 5968, 609, 1142, 824, 269, 2725, 12976, 568, 11603, 585, 741, 10618, 609, 1004, 563, 3963, 798, 7314, 803, 578, 1152, 547, 3425, 888, 303, 584, 2088, 6941, 875, 968, 611, 738, 7314, 267, 2713, 6306, 689, 3425, 267, 723, 1360, 2312, 2792, 609, 835, 1776, 269, 9697, 1893, 568, 9275, 6140, 998, 20416, 267, 1287, 998, 11132, 4082, 267, 1950, 1560, 1893, 543, 5905, 1848, 634, 2601, 7314, 803, 578, 14311, 693, 3425, 568, 3274, 1317, 968, 13906, 1893, 892, 3085, 1405, 960, 593, 1004, 2336, 7312, 3032, 803, 12976, 1394, 693, 596, 3085, 1405, 1611, 602, 1352, 781, 14344, 707, 2792, 543, 11173, 519, 6643, 1107, 621, 1797, 602, 1352, 6499, 1945, 256, 11109, 1767, 602, 267, 803, 12976, 693, 513, 3032, 6157, 4465, 1405, 2014, 1022, 2800, 563, 7804, 269, 19378, 1284, 514, 6199, 267, 13653, 540, 476, 26605, 966, 292, 4811, 267, 1767, 621, 666, 1745, 8799, 543, 635, 325, 344, 547, 723, 707, 3032, 3207, 593, 513, 5127, 609, 596, 2443, 930, 12777, 593, 707, 2212, 2443, 5732, 22196, 4160, 543, 3781, 1768, 5558, 269, 968, 763, 17498, 728, 568, 602, 7314, 616, 27248, 2831, 2223, 646, 1767, 563, 8133, 267, 607, 5892, 5018, 267, 930, 7314, 538, 1928, 630, 31860, 4049, 267, 6727, 1928, 264, 786, 3956, 856, 610, 875, 331, 269, 1403, 596, 1294, 713, 267, 1491, 873, 547, 519, 17022, 5612, 547, 723, 873, 13761, 856, 267, 1256, 952, 596, 666, 1405, 1294, 4376, 3116, 4636, 609, 873, 563, 763, 1101, 2601, 1946, 513, 3032, 803, 3298, 1247, 596, 616, 4620, 1154, 873, 568, 3274, 1317, 789, 2972, 621, 269, 19949, 1265, 621, 5418, 553, 9092, 950, 789, 616, 4620, 1540, 267, 1175, 607, 649, 1522, 2972, 3478, 513, 1394, 6299, 610, 18552, 269, 3267, 634, 2034, 1292, 2601, 1946, 513, 3032, 786, 803, 578, 950, 1373, 4620, 1540, 568, 1317, 789, 1616, 596, 547, 1832, 3257, 621, 563, 763, 22530, 819, 827, 513, 3032, 24986, 693, 3781, 568, 2808, 513, 3983, 522, 5443, 269, 2368, 2161, 952, 596, 5873, 513, 3032, 781, 3956, 693, 3781, 267, 1287, 596, 2811, 538, 585, 930, 3983, 9939, 268, 1256, 2669, 269, 6684, 267, 1866, 1533, 952, 596, 5873, 621, 267, 621, 1797, 2576, 7404, 814, 5747, 269, 3502, 513, 18822, 3364, 547, 4755, 693, 782, 585, 519, 22530, 25875, 563, 8133, 267, 7314, 899, 1373, 14437, 547, 543, 972, 616, 3621, 2090, 602, 1394, 621, 909, 1519, 513, 1353, 676, 5545, 3173, 693, 519, 2160, 540, 19519, 269, 898, 7000, 602, 7314, 666, 1174, 741, 8227, 781, 5639, 543, 789, 2628, 3007, 950, 14437, 547, 563, 5278, 7314, 798, 3100, 547, 899, 610, 693, 2547, 20496, 1480, 21098, 525, 269, 1403, 707, 3032, 682, 753, 538, 267, 1625, 3464, 267, 543, 6299, 338, 1010, 2212, 593, 596, 950, 596, 21098, 1864, 267, 646, 4440, 17358, 602, 596, 2811, 3843, 547, 1397, 1864, 15754, 563, 2414, 1397, 15754, 454, 2690, 7314, 267, 561, 10107, 568, 711, 1152, 1031, 607, 513, 25462, 7271, 267, 855, 849, 547, 1397, 15754, 269, 1635, 561, 10107, 596, 267, 824, 7314, 267, 610, 1256, 824, 10130, 267, 707, 3032, 568, 2870, 513, 1514, 6125, 269, 3267, 3509, 7314, 4163, 713, 2623, 883, 741, 2937, 2729, 267, 561, 10107, 741, 3425, 547, 1780, 2059, 519, 1482, 18941, 563, 290, 1846, 1521, 721, 607, 1498, 789, 1589, 649, 616, 9649, 267, 804, 636, 1910, 8284, 7314, 269, 3267, 9697, 2623, 11001, 3627, 4858, 1091, 24849, 540, 519, 2160, 540, 30290, 3081, 602, 7314, 4440, 1294, 721, 607, 2523, 804, 636, 1910, 2443, 799, 1034, 540, 721, 616, 267, 676, 3032, 4441, 269, 1717, 267, 5103, 1850, 687, 540, 5769, 1509, 525, 267, 789, 798, 711, 1294, 721, 607, 18174, 880, 18505, 12542, 563, 19119, 540, 1272, 16280, 454, 5715, 3233, 7314, 616, 2356, 8902, 267, 1932, 267, 799, 17990, 593, 18915, 12014, 585, 2126, 540, 21380, 3676, 267, 15495, 267, 543, 26252, 525, 689, 24515, 609, 824, 2831, 269, 3267, 4107, 7314, 945, 1332, 909, 3330, 1397, 1100, 31007, 547, 4734, 519, 3106, 540, 1753, 563, 290, 1846, 25506, 4256, 13574, 18780, 1765, 10214, 1403, 1358, 7994, 547, 22695, 648, 23067, 269, 19949, 616, 29200, 585, 741, 967, 29924, 547, 3425, 281, 3592, 1022, 8227, 786, 1449, 1518, 547, 875, 11593, 891, 2831, 11716, 721, 950, 649, 1289, 873, 269, 1809, 513, 1007, 1353, 6920, 6469, 7314, 798, 5431, 741, 1378, 4408, 1765, 16838, 952, 789, 3802, 2476, 950, 789, 5873, 873, 563, 15253, 1563, 547, 938, 13991, 5243, 267, 7314, 3100, 7168, 14955, 1356, 2740, 609, 1480, 12602, 269, 1809, 621, 5654, 899, 938, 26804, 15274, 2628, 811, 3007, 982, 649, 2285, 873, 5491, 585, 269, 1358, 3100, 547, 581, 2111, 547, 2995, 950, 649, 616, 6126, 269, 1715, 1382, 814, 1336, 519, 1101, 2178, 2963, 602, 7314, 616, 6213, 547, 1480, 3929, 17267, 563, 268, 19768, 540, 9314, 769, 14856, 543, 25530, 269, 898, 781, 1455, 585, 7314, 547, 6336, 741, 14031, 4724, 519, 1439, 540, 741, 2729, 269, 4429, 268, 26184, 31808, 1145, 269, 1411, 786, 5469, 707, 3032, 4742, 811, 29723, 1173, 545, 543, 32222, 547, 1847, 269, 4429, 268, 13722, 10610, 18323, 269, 4429, 268, 15448, 538, 2561, 30970, 543, 3911, 749, 269, 4429, 268, 16418, 532, 3752 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 902, 585, 2576, 899, 19332, 945, 6785, 4010, 875, 547, 13861, 891, 15523, 547, 1010, 5413, 780, 274, 269, 932, 9879, 14298, 289, 910, 15502, 267, 6148, 602, 2063, 851, 3884, 1405, 1945, 596, 4547, 909, 2047, 267, 855, 12517, 267, 19332, 1185, 1347, 1143, 320, 538, 838, 3547, 269, 4658, 8604, 6537, 547, 1864, 267, 1519, 1010, 1378, 2367, 543, 1256, 930, 540, 519, 1360, 717, 4954, 338, 646, 729, 3843, 547, 1016, 16746, 269, 898, 2306, 2631, 950, 596, 2015, 875, 1271, 14017, 543, 27907, 616, 538, 1022, 1895, 20089, 267, 2523, 13137, 780, 3719, 1934, 781, 1141, 1919, 1491, 606, 6397, 2490, 269, 1306, 4241, 607, 594, 1265, 19332, 781, 18517, 267, 594, 666, 1405, 948, 855, 1745, 3475, 1540, 1317, 267, 1134, 1862, 515, 7012, 1405, 3501, 269, 10787, 689, 621, 267, 2965, 269, 1280, 1383, 267, 1705, 596, 917, 602, 1247, 646, 729, 11112, 9518, 1359, 717, 4954, 267, 1394, 1753, 538, 7507, 267, 1010, 2797, 30347, 941, 934, 6748, 1864, 540, 782, 12204, 540, 15265, 1919, 286, 12653, 1457, 267, 13313, 267, 596, 2012, 621, 780, 4517, 1287, 972, 781, 519, 1249, 602, 5103, 3388, 19332, 6913, 267, 621, 6038, 3366, 547, 1010, 1378, 31774, 269, 3571, 19818, 585, 1379, 543, 1852, 1305, 1864, 593, 513, 16580, 1576, 609, 3532, 4229, 538, 7507, 267, 28285, 538, 1010, 26923, 538, 476, 4510, 7460, 269, 1924, 1454, 585, 6028, 513, 9371, 267, 1318, 2496, 3383, 9493, 1695, 267, 594, 7058, 1018, 594, 6415, 3843, 547, 2161, 568, 602, 4974, 3140, 5515, 899, 19332, 666, 4001, 721, 513, 2603, 827, 5718, 267, 4640, 267, 543, 1480, 2470, 269, 1809, 649, 849, 991, 547, 3314, 602, 789, 14201, 1405, 1102, 718, 1043, 12325, 282, 789, 941, 1950, 2043, 609, 9342, 6730, 20924, 267, 1175, 899, 4896, 3116, 269, 1656, 3006, 267, 1346, 1360, 1482, 7907, 602, 3142, 873, 1390, 1967, 666, 849, 30889, 519, 5452, 540, 741, 22638, 25010, 780, 9617, 1945, 547, 31739, 1985, 942, 596, 5490, 883, 519, 3045, 1023, 540, 1686, 256, 0, 2237, 513, 1650, 538, 519, 2511, 540, 1483, 3734, 3871, 602, 1004, 2671, 538, 15473, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 912, 18658, 1500, 25840, 19332, 781, 4640, 585, 9518, 1359, 717, 4954, 3811, 888, 19878, 3780, 19332, 781, 4640, 585, 9518, 1359, 717, 4954, 729, 3811, 1813, 547, 1896, 2188, 1384, 272, 269, 32493, 4108, 12485, 543, 3919, 269, 19332, 729, 513, 9952, 4108, 6205, 945, 6963, 4327, 519, 4936, 7952, 543, 2813, 1007, 12485, 602, 5795, 1864, 606, 5413, 936, 1010, 14763, 780, 273, 269, 24547, 11703, 24816, 269, 19332, 6591, 519, 1489, 540, 1082, 11829, 545, 11031, 676, 8108, 7580, 24816, 543, 5356, 873, 4027, 1996, 741, 14763, 780, 274, 269, 31666, 7701, 269, 19332, 5206, 827, 1010, 11044, 538, 717, 4954, 543, 1031, 18259, 547, 1711, 513, 2318, 3239, 540, 5128, 607, 513, 1390, 6205, 945, 729, 9750, 519, 4936, 7276, 585, 519, 3152, 1434, 780, 275, 269, 7457, 547, 2200, 269, 717, 4954, 729, 513, 14547, 3148, 609, 10731, 2067, 2200, 602, 19332, 1223, 7148, 883, 547, 2508, 1010, 4108, 11044, 780, 276, 269, 31808, 1145, 525, 1851, 11829, 545, 11031, 269, 634, 11829, 545, 11031, 941, 711, 8087, 543, 1419, 10692, 1851, 2933, 267, 799, 4847, 19332, 547, 17908, 741, 12755, 543, 20630, 873, 835, 10640, 763, 1650, 2115, 547, 1331, 513, 8903, 543, 6397, 4729, 6335, 269, 2659, 2239, 1058, 13469, 609, 519, 13597, 543, 2123, 5905, 1336, 538, 8468, 5717, 269, 3417, 11541, 2621, 543, 3929, 3178, 563, 0, 476, 272, 269, 274, 11137, 540, 519, 6092, 692, 8702, 547, 519, 3078, 1158, 540, 2620, 3818, 2389, 2532, 543, 13849, 1565, 256, 901, 1576, 6663, 547, 1683, 513, 3102, 7650, 540, 713, 6385, 9687, 2361, 267, 2679, 2390, 519, 13654, 2035, 5189, 538, 519, 3105, 6810, 269, 3776, 3804, 568, 711, 1152, 547, 1459, 519, 5767, 7811, 7760, 855, 849, 547, 2263, 741, 1483, 8996, 3156, 543, 6286, 269, 1284, 786, 5490, 883, 519, 14960, 540, 891, 3532, 2553, 267, 7421, 2487, 1382, 4681, 543, 9691, 10442, 5571, 9840, 1369, 519, 2146, 269, 1635, 519, 1439, 540, 713, 1770, 267, 596, 786, 4865, 513, 9488, 1620, 540, 519, 4909, 3741, 267, 7175, 596, 547, 4019, 873, 3927, 538, 1585, 7653, 543, 3565, 25006, 547, 2104, 7835, 780, 16215, 12856, 454, 2411, 692, 1607, 1576, 5161, 540, 3670, 4559, 267, 1142, 2519, 593, 3982, 3344, 540, 2620, 3818, 2389, 2532, 543, 13849, 1565, 1384, 272, 269, 2878, 7072, 547, 12213, 11638, 2389, 2532, 543, 26426, 4804, 1262, 630, 9690, 569, 2542, 994, 453, 265, 26479, 543, 2956, 454, 453, 265, 11137, 540, 519, 1576, 454, 273, 269, 2878, 28062, 725, 540, 17266, 6874, 2532, 4804, 12533, 453, 265, 5623, 540, 2582, 2389, 2532, 8849, 5121, 454, 453, 265, 26659, 6620, 543, 2834, 1436, 2409, 454, 453, 265, 4937, 1436, 23451, 543, 936, 7257, 1154, 6604, 454, 274, 269, 2878, 25648, 6874, 2532, 4804, 281, 7869, 543, 6396, 3098, 12533, 453, 265, 10434, 5288, 2571, 9936, 4687, 454, 453, 265, 8617, 1436, 2994, 585, 3818, 2389, 2532, 1565, 454, 453, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 28308, 11638, 2389, 2532, 543, 26426, 4804, 257, 5497, 585, 4648, 543, 3173, 538, 519, 2361, 563, 2171, 616, 4867, 1603, 519, 1101, 3184, 281, 834, 272, 269, 4985, 547, 12213, 11638, 2389, 2532, 543, 26426, 4804, 8487, 2171, 723, 2907, 4988, 519, 1739, 1016, 26972, 538, 519, 1699, 3184, 281, 834, 272, 269, 272, 269, 9502, 540, 2620, 3818, 2389, 2532, 543, 13849, 1565, 2580, 834, 272, 269, 273, 269, 11957, 540, 2620, 3818, 2389, 2532, 543, 13849, 1565, 8487, 2237, 519, 1007, 1016, 15492, 11331, 834, 272, 269, 274, 269, 11137, 540, 519, 1576, 257, 1247, 3843, 547, 581, 912, 268, 21004, 910, 596, 1711, 4101, 9499, 602, 3382, 519, 1570, 538, 3178, 563, 268, 12056, 910, 707, 9499, 723, 513, 2239, 9095, 543, 2502, 3159, 267, 899, 519, 1603, 540, 7812, 11066, 563, 268, 11930, 910, 596, 946, 1808, 543, 4052, 1806, 269, 1280, 1383, 267, 952, 519, 1888, 568, 5610, 538, 11810, 267, 1331, 4834, 543, 15997, 540, 519, 1523, 596, 2811, 3450, 269, 1306, 1776, 1383, 267, 952, 519, 1888, 568, 519, 1686, 540, 519, 2136, 2276, 267, 1331, 7389, 267, 4408, 267, 543, 1883, 2621, 563, 763, 1543, 1058, 2832, 547, 4497, 513, 3810, 18164, 5304, 609, 1360, 2620, 6791, 538, 519, 1888, 269, 3417, 2565, 2079, 540, 2487, 1382, 4681, 543, 9840, 538, 519, 2361, 269, 0, 8702, 547, 606, 3078, 1158, 1141, 4213, 666, 960, 1927, 609, 1114, 2516, 547, 948, 2149, 938, 1604, 256, 901, 1523, 568, 1572, 30393, 6278, 543, 12352, 267, 543, 621, 781, 2629, 585, 2870, 1018, 649, 1289, 3039, 1870, 269, 2913, 781, 4685, 883, 1620, 891, 2474, 1732, 543, 1294, 875, 789, 2097, 9800, 998, 1483, 3734, 1806, 780, 5331, 2348, 707, 5172, 4672, 8645, 6300, 849, 1416, 827, 4227, 3653, 543, 1210, 10357, 7888, 5820, 1107, 602, 1131, 581, 15813, 256, 1280, 713, 547, 4755, 267, 1585, 1004, 991, 547, 960, 1927, 2509, 513, 1455, 3804, 269, 1452, 2043, 543, 3906, 616, 1634, 607, 1412, 560, 820, 6868, 9538, 1358, 1522, 1331, 519, 4672, 8645, 6300, 5411, 267, 5520, 267, 5561, 899, 596, 267, 14273, 540, 5820, 267, 2199, 2146, 2818, 267, 2825, 15628, 267, 543, 1256, 2229, 8387, 269, 1635, 8362, 5473, 543, 23712, 609, 782, 891, 8639, 267, 3025, 2640, 1247, 7700, 9797, 547, 519, 4541, 780, 1805, 820, 14516, 6278, 1797, 8744, 891, 3309, 9739, 1927, 543, 1818, 2386, 789, 723, 3160, 3255, 547, 2671, 4555, 267, 4145, 267, 543, 10372, 269, 1879, 2944, 1318, 267, 621, 5932, 3972, 1851, 3025, 3238, 543, 2337, 1628, 2178, 3347, 269, 5994, 952, 519, 4672, 8645, 6300, 18799, 2621, 6998, 585, 6075, 5955, 593, 1007, 4264, 10366, 610, 24574, 1229, 609, 3506, 547, 4001, 3214, 827, 9657, 269, 2334, 781, 4010, 1018, 649, 1611, 950, 649, 2911, 827, 30393, 6278, 2439, 8512, 2996, 4721, 1491, 1919, 835, 1900, 2417, 269, 4495, 8639, 1174, 1142, 824, 781, 5380, 267, 789, 1106, 12352, 547, 3035, 3838, 6859, 811, 3927, 269, 4635, 519, 1482, 1383, 267, 4952, 519, 4672, 8645, 6300, 2319, 532, 909, 609, 513, 18758, 3919, 5059, 593, 556, 16396, 269, 11426, 619, 1223, 7119, 538, 2508, 24597, 11044, 547, 2030, 4054, 1169, 942, 789, 4444, 513, 1085, 17274, 540, 4672, 8645, 269, 1215, 3579, 568, 602, 2496, 3086, 1577, 781, 1921, 713, 2856, 1394, 547, 519, 2518, 3942, 269, 1411, 949, 11291, 6217, 827, 1271, 3486, 11401, 7234, 2081, 2477, 666, 960, 1927, 547, 2232, 2916, 1689, 269, 2290, 971, 5870, 729, 519, 6820, 11683, 20492, 543, 853, 820, 6868, 17072, 630, 14875, 14899, 293, 1040, 4438, 713, 2680, 267, 13222, 689, 1082, 15211, 540, 1272, 10356, 547, 1865, 519, 1909, 540, 4213, 538, 5885, 4264, 1646, 3853, 9789, 572, 616, 9072, 1305, 676, 519, 2136, 8315, 547, 2087, 1514, 267, 2804, 267, 543, 2825, 2175, 5001, 780, 9617, 899, 519, 4672, 8645, 6300, 2324, 7258, 922, 8639, 267, 6608, 543, 3549, 1590, 849, 6443, 4229, 547, 10994, 1804, 8397, 2591, 7133, 721, 782, 269, 1635, 9256, 2200, 267, 6791, 267, 543, 6612, 267, 972, 781, 1100, 3970, 547, 1018, 649, 666, 9585, 1927, 269, 1924, 1985, 942, 596, 2972, 930, 8949, 4672, 8645, 1500, 30396, 267, 3314, 602, 621, 781, 2009, 1317, 540, 7722, 8639, 8108, 3532, 12352, 269, 8625, 267, 649, 666, 1118, 519, 1158, 513, 22928, 543, 1732, 1747, 585, 5481, 547, 2097, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 291, 2905, 1867, 585, 476, 2641, 1700, 2420, 2904, 476, 1001, 277, 454, 763, 31303, 8400, 540, 519, 6820, 11683, 20492, 543, 853, 820, 6868, 17072, 630, 14875, 14899, 293, 268, 1626, 264, 7036, 539, 689, 476, 2641, 268, 2420, 2904, 476, 1001, 277, 267, 693, 519, 6167, 5113, 19510, 630, 7419, 7968, 264, 22071, 538, 715, 23879, 6798, 267, 15057, 269, 634, 17072, 3576, 1747, 6619, 540, 519, 2034, 8400, 540, 519, 2136, 8315, 5113, 13909, 540, 519, 6167, 7968, 630, 7419, 12788, 268, 273, 1070, 2921, 1747, 689, 476, 2537, 268, 2767, 2904, 476, 1001, 277, 267, 896, 519, 936, 31186, 6249, 540, 2048, 22013, 1853, 532, 593, 519, 7025, 17435, 3290, 540, 519, 476, 10711, 271, 3397, 12629, 585, 12655, 4886, 10200, 15907, 476, 1220, 5171, 8204, 782, 8370, 11683, 20492, 543, 853, 820, 6868, 630, 300, 294, 261, 306, 264, 543, 519, 3670, 6167, 7968, 4525, 15548, 693, 519, 5717, 267, 799, 941, 6896, 676, 519, 11683, 20492, 11120, 22626, 9730, 267, 609, 519, 1489, 540, 519, 6167, 7968, 10555, 30353, 563, 8722, 520, 1005, 519, 1289, 547, 2048, 14813, 26475, 256, 11627, 622, 256, 6258, 256, 3213, 15453, 256, 3213, 641, 4733, 256, 3955, 716, 256, 1230, 1597, 324, 256, 16510, 256, 16224, 10648, 14899, 293, 268, 1626, 6322, 547, 20834, 1125, 631, 294, 261, 306, 547, 4497, 538, 513, 3818, 3613, 820, 6868, 4259, 538, 1931, 547, 1451, 689, 1142, 824, 267, 1020, 12352, 543, 1711, 741, 3403, 883, 6167, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 29642, 1299, 18598, 1315, 5682, 6355, 1315, 853, 820, 14516, 22580, 543, 16890, 4721, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 3848, 476, 280, 281, 13474, 5525, 910, 4197, 2349, 9233, 607, 513, 32001, 883, 27639, 692, 5970, 596, 2479, 4862, 540, 21075, 286, 589, 5816, 630, 26211, 585, 1357, 8421, 264, 568, 899, 606, 2228, 4760, 1141, 1004, 2671, 741, 4555, 267, 8369, 267, 543, 2833, 827, 1585, 3584, 269, 6884, 267, 789, 666, 2285, 721, 2189, 4030, 883, 1114, 2477, 543, 4529, 1472, 519, 1158, 269, 1635, 2542, 1018, 17137, 2328, 827, 741, 1378, 2197, 267, 649, 666, 1451, 865, 1454, 811, 982, 1175, 10923 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 3309, 7574, 6163, 1522, 6536, 5042, 8112, 543, 5876, 1247, 5009, 3444, 14426, 1620, 269, 1879, 2324, 609, 1453, 945, 4865, 3908, 1072, 7207, 267, 971, 607, 1346, 8995, 609, 10295, 8552, 4524, 267, 7214, 9124, 267, 610, 10444, 23043, 267, 2575, 16293, 1419, 2308, 13261, 2994, 3358, 547, 2743, 1142, 1126, 781, 2189, 2115, 269, 6270, 16419, 7459, 2832, 547, 2087, 2792, 5759, 267, 1514, 5872, 1983, 267, 1582, 30625, 19206, 267, 543, 2949, 2298, 540, 1272, 780, 5194, 9621, 3498, 540, 2575, 3797, 6013, 538, 5466, 2790, 1072, 4145, 2066, 519, 14438, 269, 5525, 5815, 602, 3742, 6278, 609, 2575, 1107, 2436, 998, 4730, 7405, 267, 21882, 267, 27906, 2358, 267, 610, 3274, 13465, 2059, 1107, 666, 2569, 2589, 2404, 609, 4160, 267, 4965, 267, 2022, 10177, 9964, 2566, 4524, 630, 303, 15056, 1070, 17299, 4524, 267, 543, 18624, 269, 1635, 5807, 513, 2631, 540, 8116, 267, 17117, 267, 543, 3860, 4082, 267, 2575, 3797, 3091, 2043, 3255, 547, 11349, 6043, 267, 1628, 12003, 2200, 267, 543, 3986, 2949, 8171, 269, 5015, 267, 1895, 2575, 3797, 7886, 1683, 2922, 5624, 585, 5171, 547, 2259, 1514, 1983, 267, 1106, 11215, 4296, 267, 543, 2671, 6209, 2833, 780, 1103, 1840, 547, 922, 5626, 2640, 267, 2575, 3797, 849, 6585, 9153, 585, 5355, 2168, 1072, 4093, 269, 10765, 2963, 5267, 602, 15222, 1242, 3350, 547, 24754, 3270, 1107, 1634, 607, 24754, 1303, 1778, 618, 6304, 630, 3918, 296, 264, 1107, 666, 948, 13468, 2589, 1644, 547, 14715, 2175, 971, 607, 19576, 781, 2068, 267, 8482, 6051, 267, 15779, 2634, 5945, 267, 543, 5312, 1928, 2359, 269, 3414, 7368, 4598, 547, 1558, 1258, 727, 6438, 20054, 267, 11555, 296, 6663, 547, 7794, 8849, 11444, 3743, 585, 27510, 17319, 5322, 267, 7551, 4227, 32376, 18063, 267, 12152, 832, 267, 543, 824, 5179, 22907, 1455, 538, 891, 5095, 269, 2859, 17618, 267, 11555, 296, 949, 2709, 1875, 874, 29108, 11043, 8925, 585, 5883, 2566, 267, 15725, 8238, 5669, 8401, 1062, 2534, 267, 543, 5885, 2489, 1072, 543, 9716, 780, 2026, 938, 1620, 540, 519, 5817, 6127, 6117, 2575, 781, 2360, 593, 7553, 267, 17133, 267, 543, 2623, 3136, 547, 4228, 267, 865, 1932, 1281, 519, 1761, 585, 5499, 3156, 1369, 21911, 543, 3564, 269, 8892, 8846, 538, 713, 2361, 1223, 4125, 10128, 2029, 2861, 2645, 630, 324, 3052, 1421, 5985, 8924, 267, 5691, 4641, 5867, 264, 547, 5838, 3015, 543, 1942, 15807, 7459, 13389, 3309, 4791, 14245, 269, 3958, 267, 5571, 1382, 3646, 1058, 3343, 547, 3715, 10686, 1227, 6462, 4808, 585, 1655, 2853, 267, 2866, 4441, 267, 543, 6364, 6268, 3800, 1369, 2575, 3797, 543, 11555, 296, 780, 1103, 3932, 267, 2575, 3797, 543, 24754, 1303, 1778, 618, 6304, 2099, 3532, 2645, 5827, 540, 5466, 15491, 2591, 5185, 676, 2043, 733, 2056, 609, 11095, 267, 2790, 1072, 267, 543, 14715, 2152, 269, 14301, 2390, 3638, 3140, 5389, 543, 5483, 676, 5969, 12967, 3621, 8906, 267, 891, 6575, 2861, 4485, 3180, 10373, 1761, 585, 5807, 11455, 8171, 2066, 519, 14438, 269, 1306, 971, 267, 4797, 5092, 538, 1382, 267, 2069, 267, 543, 23425, 7341, 3788, 2629, 585, 4180, 12581, 1569, 547, 1164, 7779, 1416, 12082, 538, 519, 13710, 1379, 540, 2575, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 24523, 3797, 269, 634, 4276, 1063, 2575, 543, 4664, 267, 2059, 609, 519, 2575, 779, 2702, 547, 3310, 2168, 543, 2618, 673, 1072, 267, 729, 8068, 1082, 7366, 1296, 3516, 269, 19456, 23768, 267, 18573, 267, 543, 17127, 5206, 827, 2575, 779, 3310, 593, 1072, 543, 2623, 267, 543, 705, 13092, 11031, 538, 519, 2898, 1158, 1031, 2575, 607, 851, 540, 741, 1072, 1148, 563, 24523, 3797, 568, 606, 2500, 2596, 1505, 538, 14317, 543, 15494, 960, 609, 2550, 540, 1022, 2085, 543, 1022, 3676, 267, 1519, 1453, 609, 9124, 543, 3908, 1072, 7207, 630, 4134, 7451, 540, 26144, 4715, 518, 267, 11095, 17799, 267, 2790, 17799, 267, 1126, 19548, 25097, 344, 267, 13560, 6794, 267, 4713, 540, 6217, 267, 4633, 267, 543, 5075, 1916, 2691, 594, 729, 513, 4819, 267, 1250, 7015, 1131, 1577, 803, 6432, 547, 1126, 5638, 609, 18912, 8941, 543, 1126, 8964, 269, 23016, 547, 873, 267, 594, 1131, 2887, 18069, 610, 1131, 1376, 13465, 10978, 569, 269, 3733, 4651, 729, 513, 15690, 10178, 267, 543, 1434, 2575, 729, 19557, 547, 538, 938, 2777, 269, 14755, 267, 1250, 4651, 5129, 519, 14440, 1134, 269, 29892, 609, 803, 267, 1250, 4651, 1131, 1404, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 13662, 22180, 1315, 31499, 1315, 3203, 1299, 8535, 10657, 1315, 681, 15219, 6193, 9980, 1778, 618, 27800, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 9452, 24692, 568, 513, 2629, 1900, 538, 519, 4670, 14708, 1184, 602, 2636, 19971, 267, 14557, 14670, 20802, 267, 543, 824, 1883, 10986, 547, 14650, 543, 1544, 856, 519, 15833, 543, 9696, 540, 513, 4670, 1354, 4890, 2504, 5956, 269, 1635, 2870, 513, 1650, 4580, 267, 891, 4648, 666, 2327, 602, 789, 7001, 1169, 1271, 4090, 543, 5086, 267, 1247, 849, 3927, 14379, 741, 5075, 547, 519, 1964, 540, 519, 12284, 269, 769, 713, 3184, 267, 649, 786, 5490, 883, 519, 1148, 543, 2257, 540, 1650, 24692, 267, 3695, 922, 1686, 267, 2553, 267, 543, 1655, 2853, 780, 2414, 2253, 267, 1577, 781, 5581, 1018, 513, 1650, 4580, 568, 269, 2311, 922, 4295, 267, 513, 1650, 4580, 568, 513, 3126, 540, 12383, 610, 25780, 602, 6813, 519, 1585, 15833, 543, 10207, 540, 513, 4670, 269, 1452, 12400, 3335, 2408, 538, 5311, 267, 10483, 676, 4967, 267, 8254, 7285, 267, 5188, 267, 543, 824, 4143, 1344, 269, 6056, 540, 873, 607, 513, 13371, 14816, 4528, 540, 513, 7260, 267, 3246, 513, 29685, 585, 875, 519, 3803, 1587, 1058, 1413, 543, 1745, 780, 763, 1523, 540, 1650, 24692, 814, 922, 5072, 538, 14318, 267, 1141, 5159, 1031, 18615, 12400, 547, 840, 6665, 783, 1125, 519, 2962, 543, 12557, 540, 741, 27977, 269, 32240, 18557, 568, 1419, 20295, 609, 2442, 1944, 519, 4480, 538, 519, 476, 4350, 271, 338, 267, 1210, 1650, 15236, 547, 1544, 856, 11599, 8874, 899, 16176, 6519, 543, 519, 18599, 667, 8705, 12028, 630, 4350, 278, 264, 543, 20646, 14901, 630, 3707, 271, 1040, 3683, 942, 267, 2661, 268, 9146, 32349, 3459, 12561, 519, 2259, 607, 1134, 267, 9301, 922, 1871, 538, 12180, 1950, 22534, 543, 25640, 1804, 1212, 9749, 780, 9213, 267, 1650, 24692, 3788, 606, 1898, 5057, 540, 519, 4670, 14708, 1184, 267, 3226, 585, 2462, 1532, 644, 1326, 24299, 269, 8606, 916, 971, 607, 2997, 20345, 630, 1220, 280, 1070, 8496, 7665, 281, 674, 1722, 10003, 630, 1001, 276, 1070, 543, 634, 1234, 1597, 656, 630, 1001, 276, 264, 16941, 8185, 593, 6946, 1650, 15236, 547, 3142, 741, 16529, 22649, 547, 1272, 269, 1717, 267, 1256, 1970, 1532, 644, 1326, 967, 773, 3785, 666, 4324, 689, 6297, 4058, 998, 1650, 24692, 780, 2467, 616, 1896, 4128, 1946, 1650, 24692, 568, 865, 3407, 269, 3689, 543, 19466, 267, 621, 2337, 32349, 14377, 741, 3860, 2093, 883, 6405, 3308, 2474, 269, 1879, 2324, 593, 513, 4670, 267, 972, 616, 9118, 3664, 547, 1118, 3823, 8929, 5888, 267, 8654, 267, 533, 5217, 267, 543, 15364, 269, 11109, 513, 2312, 1650, 4580, 6087, 19971, 543, 14557, 14670, 20802, 547, 4786, 856, 891, 5079, 6619, 540, 942, 267, 4180, 11007, 543, 25843, 2429, 519, 3803, 4062, 780, 12234, 267, 1650, 15236, 4196, 607, 3532, 2792, 2645, 1369, 519, 4670, 2504, 2319, 269, 1358, 5512, 3025, 3238, 1107, 689, 11051, 543, 1305, 9858, 547, 3280, 8030, 543, 15769, 1107, 547, 1174, 519, 8689, 781, 5075, 543, 12840, 811, 3927, 2509, 16734, 621, 269, 901, 568, 2523, 2565, 1282, 3341, 3174, 267, 950, 2200, 949, 581, 3908, 267, 543, 11941, 666, 1869, 581, 1500, 1510, 1651, 584, 2590, 1713, 3790, 610, 17799, 780, 3383, 1631, 602, 649, 917, 1946, 1650, 24692, 6927, 267, 875, 798, 649, 979, 827, 2870, 2500, 3283, 286, 1703, 616, 1100, 2182, 7146, 1922, 770, 3652, 585, 14335, 513, 1650, 4580, 282, 2705, 267, 1978, 3741, 543, 4808, 666, 948, 3391, 519, 1184, 269, 2913, 781, 2263, 930, 1883, 9270, 2630, 1384, 272, 269, 5700, 2659, 10748, 1466, 281, 6969, 4098, 1022, 1650, 4580, 267, 3313, 945, 786, 581, 2542, 621, 543, 20688, 707, 1935, 9935, 269, 4024, 621, 5097, 581, 585, 707, 2123, 946, 267, 610, 786, 596, 2671, 621, 609, 513, 3677, 2319, 286, 5901, 538, 2247, 602, 811, 2143, 1650, 15236, 4043, 547, 581, 1732, 14018, 585, 8273, 24299, 5473, 2789, 13623, 543, 8639, 563, 273, 269, 4643, 589, 3650, 281, 3399, 676, 8840, 1524, 707, 7097, 883, 1367, 10207, 267, 15663, 1883, 3527, 267, 3197, 267, 605, 1186, 267, 543, 6753, 269, 3973, 267, 17250, 11315, 14853, 333, 5661, 540, 1761, 15885, 267, 9878, 2673, 3007, 547, 25194, 267, 8254, 7285, 267, 3350, 267, 543, 13289, 1063, 15833, 269, 5457, 602, 1650, 15236, 1810, 1405, 991, 547, 581, 1568, 540, 1148, 282, 2241, 6529, 5515, 543, 2596, 5546, 666, 3411, 823, 607, 1279, 607, 789, 6655, 519, 2556, 1344, 563, 274, 269, 10312, 593, 10046, 281, 1306, 596, 1711, 707, 1650, 4580, 8440, 267, 1589, 827, 875, 789, 786, 5912, 689, 835, 6429, 547, 519, 1985, 269, 6333, 2188, 899, 6474, 11912, 267, 3444, 12827, 1154, 267, 543, 1395, 5653, 9696, 547, 2226, 513, 5347, 11733, 543, 10605, 2429, 707, 4670, 269, 3958, 267, 1832, 3950, 540, 15364, 2152, 899, 1915, 17568, 267, 20758, 549, 2041, 2242, 267, 543, 2825, 2609, 547, 2327, 15774, 4296, 1063, 15833, 563, 275, 269, 5410, 19672, 281, 4495, 596, 723, 3964, 519, 2949, 2497, 543, 2095, 540, 707, 1650, 4580, 267, 17145, 856, 1142, 8470, 609, 3606, 3877, 971, 607, 5188, 267, 3280, 2360, 267, 543, 7574, 10291, 269, 1411, 1522, 849, 1616, 547, 1331, 4967, 593, 2681, 5493, 22863, 267, 8654, 14565, 267, 543, 2027, 2360, 547, 1683, 2417, 2796, 585, 707, 5075, 269, 2353, 540, 891, 3334, 786, 6038, 3565, 547, 513, 21950, 267, 811, 15138, 13156, 1995, 563, 276, 269, 11622, 622, 1299, 594, 614, 622, 281, 9523, 707, 1650, 4580, 31585, 609, 9164, 267, 23003, 267, 610, 9905, 4171, 8369, 596, 3972, 269, 3752, 7228, 5955, 543, 581, 1930, 547, 1818, 26941, 1759, 593, 741, 3403, 269, 2991, 782, 267, 5698, 568, 693, 519, 2295, 540, 1022, 3811, 4670, 2504, 267, 543, 2502, 538, 16268, 19929, 666, 1152, 3986, 707, 3803, 1587, 563, 277, 269, 22737, 5303, 281, 2755, 2757, 4050, 7146, 1790, 1653, 1650, 24692, 2409, 2611, 2442, 1851, 1082, 32349, 267, 3059, 2645, 2709, 3875, 5383, 538, 2474, 540, 4398, 267, 8112, 267, 543, 5698, 269, 15789, 899, 23489, 9452, 4580, 1160, 267, 31108, 2690, 613, 267, 543, 2289, 328, 984, 5407, 1450, 3755, 547, 1711, 6422, 267, 7317, 1650, 15236, 2347, 609, 1918, 18267, 267, 5163, 12449, 267, 543, 824, 4359, 2934, 269, 15331, 609, 1114, 3301, 3681, 547, 1265, 519, 835, 602, 1655, 17015, 707, 2115, 543, 7375, 780, 1103, 3932, 267, 1650, 24692, 4249, 513, 4105, 1909, 538, 8744, 8874, 689, 17748, 547, 12032, 269, 6787, 596, 2811, 13167, 513, 3625, 321, 13831, 12473, 610, 606, 15982, 1915, 1353, 267, 2921, 519, 942, 547, 1544, 856, 707, 3308, 1893, 998, 1650, 24692, 666, 7494, 2087, 707, 8458, 540, 1967, 269, 1635, 1739, 519, 3741, 13890, 1657, 267, 596, 3513, 581, 1134, 593, 707, 1259, 547, 13215, 713, 1898, 2460, 540, 7900, 6575, 543, 4670, 2504, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 28324, 1485, 476, 273, 4028, 3595, 1863, 454, 5278, 1930, 1532, 2135, 7641, 338, 616, 4421, 968, 553, 568, 267, 9232, 799, 568, 1776, 1259, 540, 6031, 596, 2461, 593, 707, 1378, 952, 1945, 4422, 4636, 269, 13201, 4896, 6836, 713, 610, 2303, 606, 2856, 547, 2628, 1485, 476, 273, 4028, 3595, 1863, 621, 12863, 269, 2904, 519, 30330, 3814, 267 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 268, 1548, 568, 606, 1383, 540, 3961, 8957, 1909, 10539, 888, 268, 1548, 568, 3961, 5288, 1909, 10539, 888, 268, 1548, 616, 519, 476, 275, 5933, 540, 3961, 1646, 888, 268, 1548, 568, 606, 1383, 540, 1909, 10539, 888, 268, 1548, 568, 3961, 4655, 888, 268, 1215, 1281, 3961, 1860, 2790, 1072, 888, 268, 1548, 568, 3961, 2687, 547, 661, 686, 802, 517, 888, 268, 1548, 3123, 3961, 10539, 888, 268, 1548, 616, 519, 476, 276, 5933, 540, 26447, 1646, 888, 268, 1548, 568, 1909, 10539, 538, 15257, 888, 268, 4208, 568, 3961, 865, 1271, 888, 268, 1548, 616, 476, 274, 4162, 540, 9591, 606, 3961, 888, 268, 1548, 616, 519, 476, 278, 5933, 540, 1646, 888, 268, 1548, 2306, 513, 1268, 3961, 888, 268, 1215, 798, 3237, 3310, 707, 3961, 888, 1432, 568, 606, 1383, 540, 3961, 8957, 1909, 10539, 888, 7628, 519, 3942, 540, 3961, 8957, 1909, 10539, 267, 3237, 543, 3610, 7567, 949, 3068, 10708, 945, 616, 11851, 532, 811, 7115, 998, 1219, 5050, 610, 15141, 1190, 3527, 543, 4152, 7182, 543, 6302, 971, 607, 3483, 569, 23630, 1225, 325, 31974, 267, 17528, 547, 2347, 6780, 610, 26050, 267, 610, 19703, 610, 9117, 538, 513, 1259, 513, 2560, 563, 1432, 568, 3961, 5288, 1909, 10539, 888, 763, 14740, 8957, 10020, 10539, 630, 528, 18236, 264, 3942, 568, 6353, 676, 519, 15730, 2243, 540, 968, 8005, 993, 594, 2223, 1282, 799, 942, 789, 616, 3475, 1540, 609, 19421, 540, 2418, 543, 2093, 540, 945, 789, 1058, 581, 543, 1018, 789, 1058, 1589, 269, 2560, 3212, 619, 1683, 3354, 543, 1909, 3631, 563, 1432, 616, 519, 476, 275, 5933, 540, 3961, 1646, 888, 763, 2185, 3961, 4567, 525, 646, 13747, 941, 281, 2062, 26918, 267, 3961, 18236, 267, 2849, 1807, 1756, 267, 543, 3961, 9740, 563, 1432, 568, 606, 1383, 540, 1909, 10539, 888, 293, 19691, 547, 3715, 513, 2631, 540, 3961, 1369, 2486, 12462, 296, 1810, 1406, 917, 1018, 594, 1616, 547, 581, 950, 594, 1332, 909, 14615, 666, 1291, 547, 1909, 10539, 269, 10020, 10539, 3322, 519, 1367, 711, 1373, 2386, 827, 2933, 610, 741, 1747, 538, 2486, 563, 1432, 568, 3961, 4655, 888, 2690, 606, 968, 1211, 640, 892, 610, 954, 31228, 4655, 547, 2049, 267, 519, 17837, 1590, 3651, 606, 3961, 547, 2933, 543, 741, 10779, 2456, 267, 1142, 2427, 18468, 519, 4339, 568, 1063, 968, 639, 892, 543, 968, 29442, 1848, 4762, 26555, 1141, 519, 21087, 1235, 3100, 547, 581, 8165, 827, 741, 9163, 616, 1572, 3961, 2861, 7526, 610, 954, 31228, 7526, 6693, 1692, 1281, 3961, 1860, 2790, 1072, 888, 29753, 606, 3961, 610, 2631, 540, 1582, 543, 1346, 7592, 513, 1268, 13821, 547, 723, 666, 1491, 942, 543, 949, 581, 4101, 269, 3502, 2348, 513, 2178, 2631, 540, 1582, 610, 10010, 609, 3961, 2152, 949, 1291, 547, 4160, 543, 22584, 563, 1432, 568, 3961, 2687, 547, 661, 686, 802, 517, 888, 292, 686, 802, 517, 4330, 3961, 607, 968, 320, 16148, 2631, 607, 1134, 607, 606, 28507, 2298, 540, 2123, 7663, 8864, 543, 15364, 267, 19610, 609, 930, 3661, 538, 519, 7663, 8864, 543, 15364, 540, 930, 3838, 1158, 3239, 563, 1432, 3123, 3961, 10539, 888, 2252, 596, 2461, 7680, 606, 3961, 6433, 267, 596, 949, 581, 15819, 707, 2631, 540, 1582, 610, 3961, 269, 901, 666, 1419, 2049, 1813, 547, 2462, 2242, 610, 21500, 538, 1272, 267, 610, 1813, 547, 2188, 971, 607, 2085, 610, 13120, 689, 513, 1978, 3942, 630, 1721, 1383, 267, 1153, 267, 960, 267, 610, 6689, 1916, 1432, 616, 519, 476, 276, 5933, 540, 26447, 1646, 888, 26466, 644, 6069, 602, 7209, 1646, 538, 6689, 3217, 1747, 1282, 2947, 2618, 18400, 5933, 267, 799, 616, 519, 5711, 267, 1387, 267, 943, 28351, 267, 26125, 267, 543, 19058, 5933, 563, 1432, 568, 1909, 10539, 538, 15257, 888, 305, 1961, 10539, 568, 513, 3510, 1141, 606, 1367, 814, 8373, 8159, 799, 1909, 646, 24172, 1058, 8263, 563, 3963, 568, 3961, 865, 1271, 888, 2171, 782, 723, 513, 1978, 3239, 540, 6000, 1107, 4978, 827, 519, 2186, 540, 1268, 649, 616, 269, 11109, 513, 2178, 2631, 540, 3961, 4667, 547, 581, 14909, 267, 1945, 602, 6770, 4313, 543, 3354, 1547, 2560, 14740, 849, 2337, 721, 547, 1118, 3664, 543, 547, 917, 875, 547, 13789, 269, 1284, 2461, 7683, 5185, 609, 1950, 3664, 543, 6381, 563, 1432, 616, 476, 274, 4162, 540, 9591, 606, 3961, 888, 1432, 616, 1614, 4162, 540, 9591, 606, 3961, 286, 20223, 13951, 1369, 519, 1158, 267, 4743, 513, 2631, 540, 10362, 267, 543, 4743, 2189, 563, 1432, 616, 519, 476, 278, 5933, 540, 1646, 888, 29619, 269, 25111, 476, 272, 281, 11565, 5288, 269, 27190, 6412, 269, 25111, 476, 273, 281, 4201, 16860, 5288, 269, 1744, 877, 543, 8935, 23336, 269, 25111, 476, 274, 281, 19541, 5288, 269, 2871, 2830, 269, 25111, 476, 275, 281, 12752, 5288, 269, 769, 2536, 1640, 640, 269, 25111, 476, 276, 281, 14740, 5288, 269, 4762, 4288, 269, 25111, 476, 277, 281, 2271, 22715, 5288, 269, 1772, 15684, 269, 25111, 476, 278, 281, 9198, 18356, 5288, 269, 853, 1725, 566, 21457, 3688, 7498, 1432, 2306, 513, 1268, 3961, 888, 15275, 640, 568, 519, 7907, 267, 4978, 267, 7209, 267, 5654, 543, 5924, 7215, 602, 1118, 513, 1268, 630, 1345, 268, 1211, 640, 607, 15091, 538, 6530, 264, 610, 1895, 630, 3712, 29193, 3961, 607, 840, 15041, 5799, 538, 15257, 1040, 2560, 589, 5626, 3961, 12211, 547, 1582, 268, 13548, 630, 821, 779, 2790, 2203, 540, 13951, 1070, 1582, 12635, 267, 543, 23141, 563, 1692, 798, 3237, 3310, 707, 3961, 888, 14399, 4585, 741, 3237, 2170, 609, 1866, 267, 1118, 5079, 543, 3313, 1318, 543, 4636, 585, 2933, 267, 543, 713, 5222, 875, 789, 1020, 741, 5837, 1582, 269, 7731, 4205, 666, 1628, 909, 610, 2736, 1524, 606, 1367, 779, 1582, 21873, 269, 2560, 7731, 1272, 849, 7506, 17163, 3961, 543, 4876, 5079, 269, 0, 628, 902, 281, 621, 11225, 513, 5075, 585, 519, 2104, 282, 621, 14592, 14422, 543, 519, 4397, 5107, 540, 1114, 2516, 282, 543, 621, 13976, 13618, 543, 28279, 1004, 269, 1703, 616, 1082, 6688, 540, 1072, 4507, 267, 1519, 2518, 1072, 3609, 267, 1857, 1072, 3609, 267, 2790, 1072, 3609, 267, 1072, 1416, 2533, 3609, 267, 6142, 3609, 267, 2123, 3782, 3609, 267, 14453, 3609, 267, 543, 4507, 1644, 547, 1857, 1072, 971, 607, 12674, 3609, 267, 10269, 1852, 3609, 610, 20418, 13319, 3609, 269, 1358, 949, 3382, 3584, 540, 14104, 543, 6765, 540, 3782, 267, 1569, 547, 1416, 267, 2298, 540, 1416, 267, 543, 1072, 9698, 269, 9041, 2657, 5829, 3609, 543, 922, 6388, 568, 1950, 269, 10417, 783, 3631, 666, 948, 1397, 519, 2095, 689, 1072, 5829, 3609, 1646, 547, 1072, 5829, 3609, 543, 1982, 6388, 543, 547, 1072, 1949, 543, 1072, 4093, 269, 8889, 1058, 581, 6956, 607, 811, 982, 513, 3084, 1876, 610, 1072, 3609, 602, 7028, 513, 1982, 610, 6304, 269, 7358, 1049, 4507, 616, 519, 3652, 267, 6042, 267, 4808, 267, 543, 11889, 8155, 602, 6608, 946, 547, 14377, 3084, 4031, 543, 4507, 883, 3292, 543, 2533, 269, 634, 3609, 1184, 13315, 3664, 1500, 693, 513, 3084, 610, 18228, 1377, 630, 10175, 7616, 3664, 264, 602, 1860, 2436, 543, 875, 2533, 616, 9447, 269, 4935, 267, 3007, 1590, 581, 6976, 547, 4507, 693, 2789, 2157, 540, 519, 1072, 1062, 543, 936, 942, 547, 2327, 4264, 4336, 5346, 269, 589, 11215, 3609, 1604, 786, 7520, 519, 4336, 5346, 540, 1072, 6304, 269, 9041, 634, 2413, 1523, 540, 3782, 3322, 1569, 547, 2564, 4648, 689, 1585, 4610, 607, 1134, 607, 2564, 2029, 267, 971, 607, 6527, 543, 10551, 3937, 269, 898, 849, 3322, 1569, 547, 519, 5767, 1344, 543, 2963, 689, 1382, 267, 1519, 2564, 1382, 543, 1072, 2533, 1382, 269, 9041, 769, 1082, 2477, 621, 568, 2451, 547, 519, 1367, 547, 2744, 1569, 547, 3782, 5370, 543, 2533, 676, 9878, 585, 873, 2047, 607, 856, 6361, 1790, 12714, 9276, 267, 543, 547, 4357, 5823, 5716, 538, 519, 2564, 543, 14453, 6080, 547, 1020, 1382, 269, 12020, 543, 2504, 540, 1072, 1480, 2200, 568, 7856, 1851, 4074, 2344, 5171, 269, 9041, 4033, 2477, 723, 606, 8763, 3609, 547, 2327, 543, 1489, 1569, 585, 782, 540, 922, 4961, 267, 547, 2508, 1072, 1382, 267, 543, 547, 1544, 585, 7850, 2338, 267, 3892, 543, 2298, 540, 1072, 4600, 547, 2743, 3782, 3853, 269, 3509, 6608, 1472, 519, 1158, 723, 3964, 8471, 1072, 1416, 267, 799, 3217, 519, 11411, 540, 3782, 9276, 1055, 540, 4357, 4213, 610, 2043, 998, 7535, 532, 540, 2883, 1981, 269, 1703, 616, 513, 3099, 540, 7440, 585, 543, 1996, 8471, 3782, 543, 1644, 1072, 4507, 269, 16195, 568, 606, 1271, 851, 540, 1072, 1949, 543, 4061, 621, 1419, 6589, 585, 835, 540, 519, 4102, 2127, 540, 7836, 585, 1312, 6608, 543, 2043, 782, 936, 519, 1158, 269, 476, 272, 269, 272, 10812, 4485, 547, 3782, 3609, 5250, 538, 606, 3486, 2796, 9041, 2657, 4507, 616, 4646, 998, 519, 1950, 954, 3146, 331, 725, 1222, 540, 2796, 267, 1184, 543, 11051, 269, 32240, 543, 18582, 5459, 630, 1001, 271, 538, 645, 2224, 1696, 620, 267, 476, 1001, 276, 264, 723, 6069, 519, 1072, 3609, 6906, 607, 513, 1259, 540, 18928, 3206, 827, 782, 519, 1114, 2188, 602, 949, 1860, 3609, 630, 8201, 476, 272, 1040, 7612, 476, 272, 281, 634, 2657, 8889, 21121, 11905, 32240, 543, 717, 12291, 267, 476, 1960, 275, 630, 514, 645, 2224, 1696, 620, 267, 476, 1220, 276, 264, 2920, 832, 3277, 547, 2043, 267, 3906, 610, 519, 1533, 267, 543, 741, 3527, 602, 1860, 1072, 3609, 269, 2353, 11051, 723, 741, 1378, 4690, 543, 989, 31789, 269, 6201, 540, 11051, 1331, 2043, 267, 3486, 27013, 267, 3084, 27013, 267, 2604, 270, 15517, 2516, 267, 3486, 3906, 267, 24845, 8041, 267, 7616, 3906, 267, 4357, 5823, 3549, 267, 543, 519, 2923, 269, 12745, 1797, 9836, 2188, 1107, 2797, 267, 2804, 267, 1514, 610, 2686, 267, 1312, 3084, 543, 3486, 1107, 799, 949, 723, 606, 1198, 540, 1072, 3609, 269, 1452, 1331, 281, 9041, 32163, 1049, 2188, 268, 23644, 267, 6650, 2006, 550, 2175, 799, 666, 723, 606, 1764, 593, 3609, 630, 324, 3052, 269, 10617, 267, 26221, 264, 9041, 23305, 2188, 268, 5266, 17946, 4474, 2609, 540, 2486, 630, 324, 3052, 269, 519, 2797, 1062, 267, 1826, 540, 4346, 267, 15295, 2934, 264, 9041, 8836, 2188, 268, 4984, 267, 14940, 267, 4008, 4139, 610, 608, 18100, 2188, 268, 930, 4507, 2154, 9316, 1063, 3084, 267, 6237, 610, 1617, 10561, 3906, 12474, 568, 519, 6219, 540, 513, 1880, 3609, 799, 3877, 519, 5396, 543, 3584, 4988, 269, 6713, 568, 519, 1259, 538, 799, 4507, 616, 15748, 267, 2919, 610, 19775, 267, 7858, 7007, 267, 28078, 267, 8045, 543, 11117, 269, 8889, 5250, 8813, 883, 519, 1184, 7944, 540, 519, 5943, 1657, 543, 568, 6766, 676, 11051, 267, 1543, 267, 543, 2796, 269, 6884, 519, 1184, 568, 7787, 1107, 18928, 20604, 519, 5294, 543, 931, 540, 1585, 8925, 282, 543, 3006, 519, 1184, 568, 31278, 1107, 606, 27952, 3375, 1818, 1184, 630, 289, 2224, 1696, 620, 1421, 476, 1001, 275, 264, 1733, 12241, 621, 666, 581, 5363, 547, 2708, 3609, 5250, 607, 513, 7787, 267, 588, 3042, 1184, 630, 2889, 12378, 8446, 267, 4553, 676, 3609, 19862, 267, 6388, 543, 6268, 1070, 538, 2259, 891, 5933, 10355, 1246, 538, 513, 5276, 6752, 269, 630, 298, 520, 1731, 597, 1042, 328, 1696, 620, 267, 476, 1001, 275, 282, 645, 2224, 1696, 620, 267, 476, 1220, 276, 264, 1496, 17004, 1447, 2639, 3963, 4518, 609, 2974, 454, 12749, 10866, 543, 4270, 268, 4910, 792, 3481, 14430, 454, 2171, 2141, 1118, 2386, 602, 5830, 1246, 782, 707, 5528, 10502, 269, 1411, 666, 3442, 707, 4081, 1377, 281, 1164, 1153, 267, 2852, 270, 684, 1751, 610, 3318, 267, 543, 649, 786, 3651, 513, 5856, 945, 814, 513, 9757, 4110, 563, 32153, 543, 5438, 27624, 14288, 19536, 454, 2171, 723, 513, 2319, 540, 3318, 5830, 609, 1995, 538, 4081, 543, 1870, 1603, 269, 3509, 616, 5065, 10529, 543, 2111, 547, 1685, 1022, 4305, 585, 799, 596, 991, 948, 563, 10403, 1133, 15905, 4860, 2888, 454, 2252, 596, 1589, 649, 14406, 1945, 267, 6494, 707, 1931, 585, 513, 1863, 14469, 269, 1411, 723, 476, 1015, 2395, 547, 10505, 519, 1931, 585, 2689, 1310, 596, 723, 4607, 519, 3803, 3561, 269, 1411, 666, 798, 713, 3054, 1310, 19883, 883, 707, 2123, 2272, 610, 676 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 2304, 1439, 540, 1032, 2534, 256, 901, 7084, 547, 2285, 607, 606, 1439, 540, 519, 1032, 3803, 1788, 786, 948, 1053, 1451, 547, 2328, 513, 4633, 267, 1459, 621, 547, 606, 5304, 267, 543, 1832, 1053, 7722, 538, 741, 1565, 269, 4841, 786, 1459, 513, 476, 274, 910, 476, 276, 8792, 4633, 10452, 593, 519, 1004, 543, 2833, 602, 1500, 713, 1032, 12300, 269, 476, 274, 1535, 476, 276, 6486, 2838, 267, 543, 3308, 11226, 616, 9244, 5227, 269, 901, 568, 4712, 1500, 585, 596, 547, 1688, 856, 547, 707, 3214, 269, 32087, 568, 519, 7792, 7084, 6656, 609, 13057, 2055, 267, 4170, 267, 543, 513, 21249, 19875, 269, 4841, 786, 2731, 2972, 10213, 741, 2984, 267, 543, 713, 786, 1118, 513, 12300, 543, 1187, 2534, 585, 519, 2063, 3018, 540, 1153, 563, 2791, 949, 849, 899, 912, 293, 12767, 16594, 19809, 11819, 16214, 16847, 454, 17484, 540, 519, 5729, 6153, 1532, 6614, 21998, 454, 14276, 24935, 17948, 454, 17484, 540, 519, 5729, 12143, 32386, 454, 29557, 3427, 7335, 700, 1235, 585, 24110, 476, 277, 268, 279, 454, 11764, 1067, 7335, 5903, 24110, 476, 278, 910, 476, 279, 454, 15100, 8414, 292, 706, 326, 1807, 269, 1280, 4928, 543, 18954, 946, 269, 0, 1789, 267, 4352, 519, 3169, 2014, 540, 1034, 2790, 10108, 568, 711, 1634, 267, 621, 568, 4742, 2312, 998, 1382, 602, 1082, 540, 891, 2175, 616, 3361, 676, 513, 4999, 540, 6211, 267, 5626, 267, 543, 2825, 2188, 4352, 519, 3169, 2014, 540, 1034, 2790, 10108, 568, 711, 1634, 267, 621, 568, 4742, 2312, 998, 1382, 602, 1082, 540, 891, 2175, 616, 3361, 676, 513, 4999, 540, 4719, 267, 6211, 267, 5626, 267, 543, 2825, 2188, 711, 2123, 8467, 610, 513, 1915, 8919, 543, 6051, 689, 513, 2790, 4576, 568, 711, 855, 1362, 4328, 2790, 4576, 568, 513, 811, 16148, 20089, 269, 9504, 530, 5942, 3123, 15058, 318, 11365, 318, 4134, 7451, 29250, 286, 1627, 1357, 322, 5995, 269, 10076, 1072, 2042, 3123, 543, 1198, 5864, 328, 3084, 19710, 593, 2790, 4576, 269, 2782, 940, 4191, 540, 2790, 4576, 7819, 17867, 7681, 269, 2052, 6710, 1291, 547, 2790, 4576, 286, 3619, 1846, 543, 14614, 562, 1440, 342, 1580, 476, 2412, 260, 811, 2693, 982, 2367, 1020, 4576, 267, 1353, 1034, 1004, 2982, 269, 10076, 4713, 7141, 2790, 1072, 269, 10076, 4576, 1451, 519, 4214, 267, 4255, 543, 7194, 3053, 514, 523, 564, 269, 476, 2190, 267, 1265, 856, 1946, 835, 1353, 2982, 649, 12582, 1405, 588, 25634, 1125, 2790, 4576, 1317, 1034, 1004, 616, 2693, 547, 1020, 835, 476, 2764, 267, 2790, 4576, 568, 7361, 3361, 676, 1514, 16839, 971, 607, 6127, 610, 1514, 6381, 676, 799, 891, 2042, 1020, 269, 4208, 2790, 1072, 4713, 10836, 538, 707, 2038, 476, 736, 338, 13030, 269, 5616, 12528, 20880, 3406, 269, 1306, 3989, 676, 4966, 609, 513, 24118, 4282, 267, 2790, 4524, 568, 1412, 320, 24802, 15779, 2634, 5945, 2333, 519, 1981, 540, 3384, 1978, 4713, 269, 15486, 540, 2790, 4576, 1357, 30113, 269, 24635, 2790, 4576, 6140, 3361, 676, 1272, 2621, 711, 11976, 267, 8044, 269, 1548, 568, 2790, 4576, 1018, 616, 519, 4191, 1072, 5643, 545, 659, 13415, 540, 4713, 28957, 269, 2986, 1453, 781, 12058, 1020, 267, 649, 616, 1565, 811, 827, 519, 2038, 5933, 513, 476, 274, 568, 5920, 2790, 4576, 538, 1762, 1004, 2339, 10416, 267, 596, 2811, 711, 2469, 547, 1020, 606, 4160, 4524, 607, 2937, 269, 15486, 540, 5626, 4713, 26595, 585, 8289, 269, 634, 5072, 540, 2790, 4576, 7819, 5626, 7681, 269, 1703, 723, 1044, 930, 17895, 894, 22522, 6402, 1336, 547, 1978, 2790, 1072, 4713, 2049, 538, 513, 3099, 540, 3029, 267, 543, 2589, 666, 945, 1920, 1686, 581, 811, 12155, 3384, 3007, 17211, 30759, 4524, 630, 611, 24863, 264, 568, 11095, 1141, 972, 616, 1713, 2042, 609, 3007, 267, 610, 9117, 791, 6160, 1947, 952, 2825, 1981, 2188, 585, 1496, 11365, 4576, 316, 24019, 1034, 2010, 8194, 267, 649, 1294, 602, 13977, 15823, 2600, 2043, 1020, 533, 1206, 323, 6148, 3744, 786, 15768, 12214, 4255, 10108, 519, 2104, 282, 19402, 1287, 267, 2705, 267, 4648, 13209, 7194, 31417, 267, 476, 272, 476, 276, 1762, 1004, 7985, 689, 4576, 267, 602, 781, 2038, 18063, 8912, 2634, 1646, 5626, 1696, 328, 3098, 7361, 3818, 27353, 267, 5473, 4713, 267, 855, 741, 3448, 7418, 4576, 3648, 2333, 5506, 4965, 2663, 1272, 18624, 5312, 4049, 5540, 875, 1268, 621, 711, 2943, 2009, 946, 4719, 1344, 3589, 1382, 2982, 3368, 782, 10715, 2665, 2253, 676, 2085, 476, 1691, 269, 476, 274, 267, 952, 596, 7985, 513, 2212, 8194, 267, 707, 1981, 540, 3384, 1978, 2790, 4713, 4679, 3648, 538, 930, 2665, 676, 811, 982, 476, 6110, 2600, 267, 543, 1981, 585, 1455, 2790, 4713, 269, 1548, 3123, 2790, 4576, 286, 9650, 3772, 269, 10076, 4576, 3123, 949, 334, 16758, 454, 1993, 2790, 1357, 30113, 1072, 29250, 286, 1627, 1357, 322, 5995, 269, 715, 574, 327, 18624, 3084, 20576, 540, 2790, 1072, 562, 8811, 269, 15742, 6090, 2333, 707, 1981, 540, 3384, 1451, 827, 519, 2038, 9963, 4191, 2790, 4576, 267, 2589, 267, 543, 875, 547, 1491, 1565, 610, 4191, 267, 2921, 630, 6798, 1670, 2188, 264, 1142, 1367, 781, 1378, 4719, 1118, 909, 666, 3565, 1373, 693, 513, 4576, 911, 30864, 2634, 630, 16129, 1106, 5431, 1018, 568, 1072, 4387, 3318, 267, 1865, 891, 5615, 1020, 4640, 3123, 4713, 28957, 679, 269, 1411, 2811, 476, 1691, 267, 1007, 1382, 5267, 602, 5176, 3025, 786, 1020, 513, 5626, 4524, 693, 930, 1448, 538, 741, 1272, 855, 585, 1034, 267, 621, 781, 10151, 6689, 4713, 267, 1419, 13042, 607, 11095, 4713, 610, 1565, 1034, 2049, 543, 616, 8995, 950, 519, 1126, 568, 540, 1153, 2085, 6609, 2165, 1412, 16467, 11365, 4524, 262, 9659, 262, 1797, 4049, 267, 5312, 9659, 606, 1367, 269, 7025, 4296, 513, 4514, 1413, 883, 2790, 4576, 269, 4208, 798, 3075, 946, 4713, 1419, 1071, 2049, 609, 824, 2790, 10108, 286, 1547, 6176, 827, 2790, 4576, 543, 519, 2634, 562, 8811, 6437, 562, 322, 6798, 269, 10076, 4576, 568, 2484, 811, 1455, 982, 649, 6785, 3621, 11095, 4713, 2618, 3844, 5287, 15326, 737, 686, 1122, 518, 20576, 269, 3143, 1973, 1449, 6818, 585, 4965, 282, 1535, 18422, 666, 2697, 513, 1126, 693, 1981, 540, 3384, 17299, 476, 1724, 267, 2790, 4576, 568, 811, 1455, 538, 1004, 4171, 14077, 849, 723, 269, 901, 1957, 8039, 519, 2963, 689, 3384, 2477, 543, 7710, 3157, 602, 2491, 6710, 1981, 1317, 11201, 849, 581, 3020, 267, 5868, 2126, 540, 3075, 946, 4713, 2569, 824, 2790, 10108, 543, 267, 952, 789, 798, 476, 1789, 267, 5103, 1164, 3928, 1312, 1472, 838, 10165, 476, 3451, 2066, 2919, 10600, 267, 476, 2641, 267, 596, 723, 513, 4524, 616, 6236, 688, 454, 26322, 14278, 1235, 616, 519, 1072, 4648, 1034, 3015, 547, 519, 1857, 269, 1358, 3761, 11955, 538, 13076, 609, 513, 13310, 610, 267, 950, 16155, 15868, 267, 6133, 873, 1510, 513, 13310, 269, 769, 1840, 547, 4180, 606, 4977, 3761, 540, 3617, 2472, 267, 741, 3318, 2238, 849, 3382, 5646, 18522, 540, 2550, 693, 519, 942, 540, 7006, 14819, 540, 13310, 543, 1875, 25535, 5524, 5061, 267, 3075, 1344, 547, 1072, 4648, 267, 2550, 543, 519, 2489, 1857, 267, 543, 7589, 538, 1072, 1790, 668, 10056, 15961, 269, 1358, 2226, 6402, 609, 824, 1072, 4648, 538, 3119, 1072, 1416, 269, 0, 7922, 785, 20440, 538, 29827, 6692, 18436, 18367, 18315, 1557, 454, 13625, 827, 18367, 18315, 779, 20440, 910, 18367, 18315, 779, 9073, 4619, 528, 3564, 1863, 786, 538, 29827, 6692, 2917, 781, 18367, 18315, 1557, 910, 3564, 1863, 786, 538, 269, 18004, 4805, 547, 5884, 4805, 281, 32238, 538, 18367, 18315, 29827, 6692, 2917, 781, 476, 8687, 279, 20100, 267, 18367, 18315, 267, 602, 568, 267, 2394, 646, 9060, 4619, 528, 4619, 528, 6487, 20440, 11783, 11683, 4798, 538, 18367, 18315, 676, 29827, 6692, 2917, 4332, 543, 5137, 20440, 18367, 18315, 2982, 602, 1480, 7919, 616, 7184, 16529, 563, 10303, 540, 1010, 19818, 585, 1702, 543, 20440, 547, 1711, 1272, 267, 18367, 18315, 676, 29827, 6692, 2917, 10839, 476, 272, 1909, 540, 3961, 538, 29827, 6692, 18436, 18367, 18315, 1557, 269, 29975, 3594, 910, 9420, 20440, 538, 29827, 6692, 2917, 781, 18367, 18315, 269, 901, 1863, 7005, 3332, 1557, 593, 1557, 281, 18367, 18315, 676, 29827, 6692, 2917, 568, 3501, 585, 7005, 3332, 1053, 547, 946, 607, 606, 1383, 269, 32113, 597, 513, 334, 642, 6403, 1372, 334, 950, 519, 13085, 855, 796, 2180, 13454, 10196, 1743, 4619, 528, 18367, 18315, 7947, 338, 519, 5841, 812, 602, 646, 814, 2813, 267, 29827, 6692, 2917, 781, 18367, 18315, 630, 1960, 275, 563, 8698, 1557, 910, 18367, 18315, 349, 1557, 689, 1893, 3284, 693, 1138, 916, 1164, 1153, 538, 29827, 6692, 18436, 18367, 18315, 267, 4401, 1227, 267, 972, 616, 1896, 10486, 1063, 4619, 528, 269, 29975, 568, 519, 1650, 540, 513, 812, 4171, 20440, 2978, 4424, 6692, 18436, 18367, 18315, 19421, 540, 676, 29827, 6692, 2917, 22967, 593, 18367, 18315, 269, 9105, 2576, 945, 779, 1224, 29827, 6692, 2917, 779, 18367, 18315, 281, 827, 519, 13442, 581, 21794, 519, 9420, 24663, 540, 519, 632, 30824, 344, 1920, 585, 10343, 543, 9950, 1087, 904, 18367, 18315, 936, 20440, 29827, 530, 3326, 7723, 8154, 543, 5728, 25106, 1153, 21485, 338, 3661, 18367, 18315, 3284, 1557, 2055, 602, 609, 519, 1318, 4999, 269, 769, 29827, 6692, 18436, 3209, 267, 18367, 18315, 267, 16529, 2360, 538, 18367, 18315, 7005, 3332, 1557, 3197, 782, 19500, 2390, 519, 1482, 9420, 20440, 269, 29975, 3594, 616, 4081, 3594, 585, 11239, 891, 4574, 941, 2854, 5097, 676, 1053, 543, 1683, 2565, 2079, 540, 18367, 18315, 676, 29827, 269, 6307, 6692, 2917, 267, 18367, 18315, 267, 1196, 795, 533, 4954, 25433, 630, 2908, 26294, 281, 530, 530, 14926, 517, 1299, 2754, 267, 1651, 267, 476, 1001, 273, 1070, 533, 476, 274, 782, 18367, 18315, 24185, 786, 581, 689, 713, 7160, 267, 543, 786, 269, 32559, 20440, 538, 29827, 6692, 2917, 781, 18367, 18315, 1557, 9420, 20440, 538, 29827, 6692, 2917, 781, 18367, 18315, 29827, 811, 827, 1557, 593, 25796, 20440, 18367, 18315, 269, 769, 18367, 18315, 875, 1281, 519, 946, 540, 1614, 1936, 2209, 1860, 519, 5467, 781, 3210, 547, 519, 3209, 2854, 676, 29827, 6692, 2917, 538, 476, 8687, 277, 267, 18367, 18315, 568, 9420, 20440, 269, 3690, 5296, 540, 31250, 20440, 538, 18367, 18315, 3209, 18367, 18315, 676, 29827, 6692, 2917, 676, 642, 2795, 333, 27825, 270, 22967, 8276, 515, 514, 5341, 338, 11721, 17213, 18315, 20400, 269, 5851, 1514, 2418, 538, 29827, 6692, 18436, 18367, 18315, 1514, 2418, 538, 29827, 6692, 2917, 779, 18367, 18315, 602, 621, 1223, 723, 1044, 2009, 1317, 519, 2025, 812, 729, 9420, 269, 5192, 606, 2626, 585, 1412, 4186, 2858, 16664, 538, 12335, 781, 16664, 267, 543, 4619, 528, 18367, 18315, 538, 29827, 6692, 2917, 781, 18367, 18315, 281, 29256, 532, 20440, 27260, 288, 3387, 819, 543, 11348, 811, 7059, 1383, 540, 2123, 20440, 1018, 9267, 2023, 543, 18367, 18315, 723, 538, 1455, 568, 602, 789, 786, 3247, 693, 29827, 530, 18367, 18315, 15545, 7956, 267, 3961, 267, 1641, 2032, 540, 29827, 6692, 2917, 779, 18367, 18315, 2094, 922, 8313, 538, 476, 8687, 279, 22672, 1652, 543, 1272, 15134, 836, 1359, 20440, 547, 269, 2974, 6767, 4104, 3028, 1382, 1957, 703, 1557, 593, 18367, 18315, 23692, 520, 1557, 513, 812, 4171, 20440, 29377, 543, 1353, 2055, 585, 29827, 6692, 18436, 18367, 18315, 563, 268, 19264, 819, 538, 18367, 18315, 3594, 20440, 568, 513, 2178, 7287, 547, 3035, 1945, 538, 519, 3209, 676, 29827, 6692, 569, 267, 18367, 18315, 267, 972, 616, 1614, 1883, 5716, 538, 519, 1909, 563, 268, 4828, 2565, 3069, 2239, 4480, 538, 18367, 18315, 29827, 6692, 2917, 1185, 1082, 2239, 14908, 519, 20440, 540, 9267, 2023, 7140, 1864, 513, 1761, 4619, 528, 563, 1607, 9176, 6252, 814, 1044, 2016, 32161, 11052, 538, 29827, 6692, 2917, 779, 18367, 18315, 519, 3594, 602, 4758, 4473, 547, 513, 1596, 9220, 534, 20440, 547, 269, 29975, 1557, 3594, 543, 9880, 593, 29827, 6692, 18436, 18367, 18315, 18367, 18315, 568, 519, 1650, 540, 513, 812, 4171, 20440, 29377, 1864, 547, 3343, 585, 269, 4828, 281, 968, 15367, 568, 519, 1483, 20599, 538, 29827, 6692, 2917, 779, 3209, 267, 18367, 18315, 2705, 267, 950, 646, 13290, 547, 2911, 519, 9420, 812, 267, 1010, 1920, 3802, 538, 11783, 1323, 2079, 540, 29827, 6692, 2917, 779, 18367, 18315, 1557, 29827, 6692, 2917 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 779, 524, 4981, 568, 4049, 267, 513, 4387, 949, 21559, 28335, 547, 948, 2569, 519, 11926, 538, 519, 21572, 269, 27275, 2665, 1611, 1453, 786, 991, 547, 3251, 538, 519, 6413, 543, 581, 16913, 563, 10303, 513, 10194, 3968, 3123, 524, 4981, 267, 7189, 4465, 1406, 21559, 11216, 563, 2026, 524, 4981, 568, 1945, 602, 4523, 538, 5114, 547, 513, 3644, 267, 621, 779, 711, 1945, 602, 666, 581, 3262, 269, 2334, 1767, 267, 519, 3644, 602, 3123, 524, 4981, 666, 581, 5293, 593, 547, 1866, 267, 899, 513, 4411, 563, 763, 1655, 1259, 547, 3247, 519, 3262, 540, 513, 3644, 568, 547, 912, 2252, 596, 2461, 14126, 827, 707, 1126, 585, 1022, 2601, 267, 2141, 3343, 2564, 5796, 269, 1411, 917, 707, 1126, 1732, 982, 4896, 267, 865, 3314, 547, 3972, 707, 26756, 563, 18800, 4816, 2472, 547, 7118, 12587, 2798, 267, 1287, 23396, 1346, 2798, 585, 8835, 16691, 16896, 717, 3424, 21998, 269, 898, 781, 865, 2653, 256 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 3895, 2757, 6575, 267, 9821, 267, 4978, 267, 543, 2418, 2404, 609, 1808, 6803, 885, 610, 4525, 780, 288, 2487, 1353, 3370, 538, 11595, 3163, 8711, 2947, 3119, 2188, 7133, 519, 3059, 2792, 540, 27656, 2761, 594, 6224, 281, 3059, 2792, 4656, 267, 2686, 2792, 11036, 267, 13916, 540, 3059, 2029, 267, 5304, 10343, 543, 17133, 267, 543, 796, 19055, 762, 2188, 269, 1284, 786, 4983, 1142, 3815, 14350, 267, 5373, 4296, 547, 6626, 2152, 4478, 12563, 5158, 11091, 543, 23425, 780, 272, 269, 2878, 19445, 9442, 17607, 5093, 634, 4110, 547, 799, 8639, 3238, 538, 27656, 2761, 594, 6224, 5431, 519, 1761, 2640, 543, 2591, 15054, 676, 3059, 2792, 4249, 513, 2565, 1909, 538, 8159, 922, 3811, 6388, 269, 1280, 3236, 267, 5159, 1590, 581, 3222, 540, 875, 741, 960, 666, 3914, 9962, 9458, 998, 1514, 2923, 9055, 610, 552, 19645, 5867, 282, 13974, 267, 7855, 1058, 2015, 6220, 3059, 2645, 883, 13460, 547, 16616, 7820, 5481, 547, 642, 4314, 532, 4739, 2553, 269, 1635, 5807, 3152, 3059, 7924, 1851, 9439, 267, 3173, 267, 543, 12439, 7567, 267, 649, 2482, 519, 5748, 585, 811, 7347, 6278, 609, 27656, 2761, 594, 6224, 538, 938, 5051, 10562, 1158, 780, 273, 269, 2878, 24292, 9442, 19541, 5093, 1160, 5562, 3800, 3144, 676, 6608, 267, 3906, 267, 543, 2199, 2950, 547, 7520, 519, 5610, 540, 27656, 2761, 594, 6224, 883, 3059, 5624, 616, 1898, 585, 4180, 922, 6668, 543, 2208, 269, 6270, 7341, 1522, 4125, 9591, 6131, 7270, 15386, 6237, 23477, 267, 13384, 1681, 11925, 6322, 693, 3450, 5159, 875, 547, 946, 3059, 2645, 3927, 267, 610, 24574, 1359, 609, 10509, 3549, 547, 1711, 15138, 5691, 2833, 10704, 1472, 2757, 6575, 269, 3414, 7104, 2962, 267, 649, 666, 948, 8115, 519, 7934, 1063, 2250, 543, 1459, 267, 3850, 27656, 2761, 594, 6224, 547, 11457, 7258, 6932, 4066, 1510, 9561, 8289, 540, 922, 3140, 4644, 780, 274, 269, 2878, 3849, 2194, 1464, 540, 7913, 5303, 5093, 11154, 532, 4540, 3059, 4066, 547, 9290, 519, 2189, 2115, 540, 27656, 2761, 594, 6224, 3340, 1312, 5876, 543, 2930, 6791, 269, 3763, 619, 1590, 1265, 5499, 3435, 585, 18071, 6946, 6272, 267, 13830, 13857, 18282, 267, 543, 1138, 6819, 28241, 17915, 1107, 782, 7533, 3344, 540, 1082, 2757, 13492, 269, 5047, 267, 789, 991, 547, 2327, 602, 891, 10124, 2611, 3015, 543, 3593, 7888, 585, 1346, 945, 949, 3668, 4359, 2930, 1983, 610, 2200, 269, 20985, 3785, 5473, 4966, 689, 3309, 4610, 267, 971, 607, 19795, 267, 2780, 2257, 267, 543, 1374, 267, 3180, 1390, 9153, 538, 5466, 891, 2591, 543, 22338, 519, 1259, 585, 811, 8537, 3059, 11269, 540, 27656, 2761, 594, 6224, 780, 275, 269, 2878, 29423, 1466, 20504, 766, 543, 595, 10744, 5093, 4197, 875, 1114, 22097, 13498, 543, 2170, 609, 3059, 14906, 1431, 540, 27656, 2761, 594, 6224, 568, 4105, 585, 12238, 3101, 741, 1764, 543, 26655, 2104, 7835, 269, 3194, 5267, 602, 2188, 899, 2085, 267, 4008, 267, 14227, 4567, 267, 543, 2686, 4282, 666, 3648, 3337, 1367, 6114, 547, 5691, 2833, 12082, 538, 2245, 269, 9182, 267, 2766, 1681, 3059, 17008, 547, 8597, 547, 8795, 7375, 543, 4690, 3587, 14063, 538, 2502, 3376, 3444, 5498, 2388, 540, 2486, 269, 3958, 267, 14237, 606, 7071, 585, 519, 1686, 267, 13513, 267, 543, 2495, 3297, 1880, 13492, 10597, 21951, 8223, 543, 18399, 267, 2417, 17923, 519, 1871, 540, 10128, 3872, 3334, 883, 3059, 5867, 780, 276, 269, 2878, 4462, 19055, 762, 11790, 5093, 24498, 2609, 3564, 1480, 1852, 267, 971, 607, 2804, 15088, 267, 2797, 16132, 267, 2825, 12469, 267, 610, 1857, 1072, 16839, 267, 666, 10460, 8101, 6937, 547, 27656, 2761, 594, 6224, 781, 3059, 11091, 3646, 269, 2755, 19086, 971, 4220, 949, 6961, 4101, 267, 20314, 1890, 4058, 543, 4199, 14305, 616, 1869, 2629, 3268, 4724, 17420, 3407, 2686, 7221, 1996, 6397, 14488, 269, 8490, 14388, 1949, 5827, 540, 15268, 547, 4657, 6381, 5849, 4797, 1569, 547, 27656, 2761, 594, 6224, 5103, 5007, 12503, 267, 7551, 30176, 938, 3838, 5539, 547, 2149, 543, 8661, 8103, 781, 3638, 7499, 9371, 780, 1103, 3932, 267, 10188, 519, 10167, 540, 3059, 2792, 543, 27656, 2761, 594, 6224, 6799, 3875, 3255, 543, 2591, 585, 15156, 540, 12563, 2528, 25954, 269, 1635, 6313, 1883, 2188, 12018, 713, 6422, 2078, 267, 649, 2744, 4030, 883, 1655, 2853, 585, 16107, 28928, 4066, 1247, 6967, 6213, 547, 519, 7915, 7907, 602, 11904, 891, 2757, 6575, 865, 19918, 8903, 269, 11086, 267, 8508, 5647, 1281, 711, 28173, 10205, 532, 2245, 282, 2864, 267, 621, 20217, 721, 547, 2263, 3209, 2409, 585, 14120, 543, 31328, 519, 11972, 7326, 543, 5898, 22993, 538, 27656, 2761, 594, 6224, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 294, 1037, 539, 3069, 2861, 2203, 540, 519, 3310, 540, 3059, 2792, 593, 27656, 2761, 30608, 2686, 6561, 454, 15463, 5146, 3163, 4320, 476, 1015, 267, 9137, 1297, 281, 476, 14695, 630, 1708, 273, 994, 19445, 4066, 723, 12012, 1514, 5872, 543, 1344, 6771, 267, 2870, 1007, 2686, 2792, 2923, 543, 3631, 269, 6736, 3573, 13753, 883, 519, 1198, 540, 3059, 2792, 593, 27656, 2761, 30608, 2686, 6561, 630, 2975, 295, 1070, 1382, 593, 519, 2078, 1063, 519, 2188, 602, 3310, 519, 3059, 2792, 540, 27656, 2761, 594, 6224, 568, 5266, 17077, 269, 901, 1353, 1031, 1930, 25804, 11042, 543, 21849, 2079, 547, 3489, 1239, 7282, 891, 12018, 2188, 269, 589, 16135, 3069, 1935, 1336, 602, 2947, 4295, 2188, 723, 1713, 2360, 593, 519, 3059, 2792, 540, 27656, 2761, 594, 6224, 269, 1452, 616, 3059, 2792, 4656, 267, 2686, 2792, 11036, 267, 13916, 540, 3059, 2029, 267, 5304, 10343, 543, 17133, 267, 543, 796, 19055, 762, 2188, 269, 5015, 267, 513, 5376, 16210, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 293, 13083, 9177, 4860, 2526, 257, 607, 851, 540, 834, 24719, 13316, 1315, 8836, 1299, 23532, 5525, 1315, 1977, 1315, 4937, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 10289, 19176, 28690, 281, 634, 3203, 540, 10435, 14465, 327, 21007, 692, 7072, 912, 289, 17505, 327, 544, 383, 361, 568, 513, 30883, 24207, 19176, 26889, 602, 9356, 519, 3943, 7810, 3310, 593, 19176, 11951, 269, 901, 632, 937, 762, 8265, 1426, 814, 6591, 8560, 5001, 1813, 547, 922, 2189, 11100, 540, 10366, 267, 18282, 267, 543, 12906, 553, 269, 769, 713, 1576, 1770, 267, 649, 786, 5490, 883, 519, 1686, 267, 5820, 267, 2553, 267, 543, 6237, 7648, 540, 536, 17505, 327, 544, 383, 361, 267, 3246, 596, 609, 606, 538, 3829, 1620, 540, 713, 5023, 22476, 8670, 269, 5047, 267, 649, 786, 2263, 875, 713, 9583, 2241, 26889, 24151, 519, 1950, 16799, 1063, 2528, 267, 6214, 267, 543, 14051, 780, 296, 269, 8466, 17461, 454, 288, 269, 17959, 540, 645, 17505, 327, 631, 383, 361, 454, 272, 269, 20616, 1143, 543, 26943, 2435, 16510, 281, 1215, 519, 12760, 540, 3943, 543, 19176, 11477, 5389, 5795, 4332, 547, 536, 17505, 327, 544, 383, 361, 563, 273, 269, 12472, 540, 519, 8745, 281, 32274, 519, 29721, 543, 10409, 4644, 540, 834, 321, 17505, 327, 544, 383, 361, 3010, 289, 269, 4886, 540, 19176, 9995, 16049, 9177, 454, 272, 269, 9335, 5253, 9177, 538, 10476, 281, 4197, 519, 1514, 543, 2804, 2796, 540, 8265, 1426, 21527, 543, 741, 1909, 538, 5935, 536, 17505, 327, 544, 383, 361, 563, 273, 269, 32501, 543, 15019, 640, 281, 24167, 519, 2188, 7700, 547, 519, 3486, 6284, 543, 9542, 540, 536, 17505, 327, 544, 383, 361, 780, 2862, 269, 23123, 543, 9828, 454, 288, 269, 12708, 22020, 540, 645, 17505, 327, 631, 383, 361, 454, 272, 269, 645, 16331, 8291, 281, 29922, 519, 1318, 1826, 540, 9126, 340, 8291, 585, 8076, 9403, 543, 8137, 282, 4388, 593, 8600, 19471, 9126, 340, 22863, 563, 273, 269, 26287, 1231, 281, 18948, 540, 2757, 30836, 899, 1989, 2683, 20230, 267, 533, 5889, 339, 2946, 267, 543, 5779, 27750, 267, 2059, 609, 20757, 8925, 563, 274, 269, 29641, 543, 4173, 2125, 281, 11957, 540, 4584, 1194, 5388, 267, 29475, 21100, 267, 795, 531, 1901, 10722, 657, 267, 543, 524, 559, 656, 549, 282, 1697, 7041, 2409, 563, 275, 269, 9473, 9323, 543, 28397, 806, 281, 4985, 547, 1898, 27156, 543, 19082, 267, 1519, 949, 30358, 1047, 267, 13386, 14036, 267, 543, 7395, 22080, 4005, 532, 563, 276, 269, 717, 7568, 8460, 281, 10020, 540, 5743, 6853, 4927, 1824, 543, 824, 18593, 21959, 8460, 538, 7393, 6492, 543, 6881, 780, 289, 269, 1306, 5145, 1782, 519, 17828, 645, 17505, 327, 631, 383, 361, 454, 272, 269, 20233, 1359, 26435, 281, 23496, 3666, 543, 10103, 540, 10366, 998, 7580, 2482, 1359, 563, 273, 269, 7956, 1116, 25037, 281, 19793, 1324, 5551, 4334, 543, 11116, 676, 9256, 2571, 543, 29511, 344, 2609, 563, 274, 269, 11426, 1944, 2659, 645, 17505, 327, 631, 383, 361, 281, 9669, 585, 23695, 547, 8192, 7375, 543, 9993, 1247, 4509, 13597, 780, 7656, 269, 13636, 29938, 543, 11154, 725, 454, 288, 269, 8832, 19176, 13910, 630, 289, 17505, 327, 631, 383, 361, 3345, 994, 272, 269, 18567, 543, 6206, 16016, 1042, 1304, 20212, 281, 31692, 5109, 2934, 3379, 547, 7013, 13413, 563, 273, 269, 27748, 545, 2598, 1127, 281, 16709, 540, 670, 8457, 328, 781, 4583, 536, 17505, 327, 544, 383, 361, 14726, 267, 971, 607, 536, 17505, 327, 544, 383, 361, 555, 12782, 489, 339, 562, 7666, 12782, 503, 328, 630, 322, 1245, 2759, 536, 17505, 327, 544, 383, 361, 6393, 289, 269, 6239, 19176, 13910, 630, 289, 17505, 327, 631, 383, 361, 4741, 994, 272, 269, 23433, 4469, 2948, 4515, 3796, 281, 11137, 540, 3844, 3148, 781, 25970, 267, 12050, 267, 543, 23599, 4162, 563, 273, 269, 3502, 26312, 11511, 725, 281, 28038, 32258, 899, 536, 17505, 327, 544, 383, 361, 959, 12782, 358, 978, 669, 17554, 352, 19819, 383, 366, 630, 727, 30592, 543, 22304, 5066, 536, 17505, 327, 544, 383, 361, 6393, 290, 269, 8828, 19176, 13910, 630, 289, 17505, 327, 631, 383, 361, 3162, 994, 272, 269, 21690, 543, 14205, 800, 18696, 281, 22716, 529, 593, 4006, 6165, 543, 27772, 5144, 19899, 4310, 3334, 563, 273, 269, 11412, 21077, 594, 614, 725, 281, 19361, 1944, 6267, 609, 15223, 580, 517, 781, 1340, 539, 536, 17505, 327, 544, 383, 361, 521, 12782, 363, 320, 630, 1718, 10234, 5144, 536, 17505, 327, 544, 383, 361, 6393, 4353, 269, 7351, 12367, 543, 8892, 19648, 454, 288, 269, 645, 17505, 327, 631, 383, 361, 15332, 10476, 281, 15766, 908, 519, 3395, 4527, 540, 536, 17505, 327, 544, 383, 361, 15945, 1472, 519, 8608, 563, 289, 269, 16743, 543, 27065, 281, 8058, 322, 2084, 2413, 23538, 593, 5929, 10346, 267, 6220, 4207, 5820, 543, 5986, 2553, 563, 290, 269, 20885, 543, 19078, 29283, 281, 18601, 4145, 827, 27126, 5820, 543, 5885, 2199, 4213, 1369, 519, 2796, 540, 536, 17505, 327, 544, 383, 361, 2504, 543, 4616, 780, 6962, 912, 1607, 1576, 1770, 6322, 693, 30015, 596, 609, 1702, 543, 1983, 2838, 547, 5660, 543, 5965, 519, 9159, 19176, 26889, 910, 536, 17505, 327, 544, 383, 361, 269, 3414, 3695, 3140, 4282, 267, 4295, 3334, 267, 6237, 3604, 267, 543, 1699, 7835, 267, 596, 723, 9715, 513, 7096, 8223, 540, 713, 7415, 8670, 269, 1635, 2502, 538, 3946, 6823, 2259, 543, 17634, 267, 4019, 891, 4030, 547, 4739, 707, 1378, 12300, 536, 17505, 327, 544, 383, 361, 2833, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 25565, 19176, 1426, 568, 513, 11477, 10508, 602, 20502, 519, 2197, 779, 3638, 2686, 6561, 269, 3245, 519, 11599, 10366, 540, 943, 334, 543, 7333, 327, 11465, 547, 519, 10347, 4195, 1145, 540, 5614, 20061, 543, 7524, 11922, 267, 2757, 19176, 1426, 3091, 513, 3309, 2039, 540, 10366, 543, 18282, 269, 898, 568, 513, 8819, 1258, 5669, 1995, 602, 21915, 531, 3278, 519, 6492, 19512, 543, 3762, 513, 9434, 12705, 593 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]