Datasets:
vietnqw
/
en-bloom-ner-open_domain

Dataset card Data Studio Files
xet
Community
1
Search is not available for this dataset
input_ids
listlengths
57
1.02k
attention_mask
listlengths
57
1.02k
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 2298, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 2703, 147982, 600, 189, 10264, 319, 1587, 54338, 883, 915, 36252, 60596, 647, 1002, 5955, 157342, 1965, 5025, 248532, 189, 600, 32083, 600, 189, 31, 34, 5134, 189, 10642, 5306, 17705, 26066, 29, 4855, 319, 1587, 54338, 375, 26957, 972, 39305, 1111, 15, 1821, 972, 9796, 1111, 15, 5148, 972, 15620, 139437, 1111, 15, 5148, 972, 937, 4547, 974, 181359, 1163, 30, 189, 224575, 86121, 5008, 1485, 4005, 34288, 530, 28079, 613, 112048, 18570, 189, 15483, 603, 10642, 85367, 171565, 319, 1587, 54338, 883, 427, 6223, 1485, 267, 4005, 3262, 368, 157342, 13332, 3884, 632, 1130, 5950, 3344, 361, 368, 5008, 6610, 6223, 1331, 368, 319, 1587, 54338, 14121, 15483, 603, 6458, 567, 41663, 171565, 319, 1587, 54338, 883, 915, 1002, 5955, 157342, 1965, 5025, 248532, 60202, 33161, 603, 10642, 368, 4855, 632, 1002, 8603, 12829, 361, 718, 6149, 105311, 66673, 29, 2127, 103115, 33, 16111, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 13773, 24021, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 126071, 35553, 6516, 239984, 21643, 159493, 1306, 13564, 31622, 479, 26302, 530, 2152, 13341, 661, 67018, 82844, 102285, 1485, 368, 17527, 15, 267, 7921, 6516, 32564, 28226, 7555, 17, 3162, 21608, 4731, 61335, 9487, 613, 20587, 14722, 672, 530, 59269, 15, 5, 28627, 861, 32564, 10925, 17915, 29189, 17158, 660, 12669, 17, 5, 1387, 20870, 488, 5279, 66790, 28835, 71240, 159493, 15, 86109, 427, 15576, 69629, 15, 1306, 141948, 23498, 664, 368, 6607, 661, 1571, 461, 368, 206850, 919, 2914, 6626, 15, 5, 7555, 31640, 54845, 13159, 15, 131880, 461, 368, 6516, 90817, 219811, 461, 115747, 15, 661, 65282, 1331, 37820, 17, 117015, 51785, 427, 5553, 67791, 632, 861, 1701, 1130, 12974, 5011, 5553, 159493, 17, 1387, 159493, 1306, 5636, 7496, 427, 96721, 368, 34447, 461, 368, 104771, 427, 24373, 17625, 15, 5, 54845, 13159, 22403, 209566, 361, 61335, 6747, 267, 21781, 1002, 3868, 27596, 237532, 664, 93253, 17, 29267, 3172, 603, 5, 3700, 3829, 661, 368, 41050, 361, 17527, 21643, 24763, 15, 1701, 3423, 427, 46944, 267, 6426, 8431, 461, 6223, 11007, 427, 13906, 427, 861, 41050, 15, 5, 1683, 16406, 17, 1387, 28226, 1256, 31163, 6804, 4731, 107975, 75065, 14450, 15, 33711, 131880, 461, 214351, 17339, 128963, 7455, 15, 22403, 54845, 13159, 861, 61335, 109217, 368, 3804, 24307, 4676, 427, 28645, 368, 13905, 632, 6147, 48208, 17, 567, 55331, 109217, 861, 35572, 530, 59269, 1306, 368, 3804, 24307, 162926, 427, 43197, 368, 203730, 12617, 15, 530, 861, 32564, 10925, 12562, 17158, 660, 12669, 15, 5, 107975, 7555, 15, 661, 65282, 1331, 368, 27596, 139027, 47483, 6149, 105311, 66673, 29, 2127, 103115, 33, 16111, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 2298, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 126071, 35553, 6516, 239984, 21643, 159493, 1306, 13564, 31622, 479, 26302, 530, 2152, 13341, 661, 67018, 82844, 102285, 1485, 368, 17527, 15, 267, 7921, 6516, 32564, 28226, 7555, 17, 3162, 21608, 4731, 61335, 9487, 613, 20587, 14722, 672, 530, 59269, 15, 5, 28627, 861, 32564, 10925, 17915, 29189, 17158, 660, 12669, 17, 5, 1387, 20870, 488, 5279, 66790, 28835, 71240, 159493, 15, 86109, 427, 15576, 69629, 15, 1306, 141948, 23498, 664, 368, 6607, 661, 1571, 461, 368, 206850, 919, 2914, 6626, 15, 5, 7555, 31640, 54845, 13159, 15, 131880, 461, 368, 6516, 90817, 219811, 461, 115747, 15, 661, 65282, 1331, 37820, 17, 117015, 51785, 427, 5553, 67791, 632, 861, 1701, 1130, 12974, 5011, 5553, 159493, 17, 1387, 159493, 1306, 5636, 7496, 427, 96721, 368, 34447, 461, 368, 104771, 427, 24373, 17625, 15, 5, 54845, 13159, 22403, 209566, 361, 61335, 6747, 267, 21781, 1002, 3868, 27596, 237532, 664, 93253, 17, 29267, 3172, 603, 5, 3700, 3829, 661, 368, 41050, 361, 17527, 21643, 24763, 15, 1701, 3423, 427, 46944, 267, 6426, 8431, 461, 6223, 11007, 427, 13906, 427, 861, 41050, 15, 5, 1683, 16406, 17, 1387, 28226, 1256, 31163, 6804, 4731, 107975, 75065, 14450, 15, 33711, 131880, 461, 214351, 17339, 128963, 7455, 15, 22403, 54845, 13159, 861, 61335, 109217, 368, 3804, 24307, 4676, 427, 28645, 368, 13905, 632, 6147, 48208, 17, 567, 55331, 109217, 861, 35572, 530, 59269, 1306, 368, 3804, 24307, 162926, 427, 43197, 368, 203730, 12617, 15, 530, 861, 32564, 10925, 12562, 17158, 660, 12669, 15, 5, 107975, 7555, 15, 661, 65282, 1331, 368, 27596, 139027, 47483, 6149, 105311, 66673, 29, 2127, 103115, 33, 34955, 109431, 54845, 13159, 5, 15, 25241, 256, 75065, 14450, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 5963, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 126071, 35553, 6516, 239984, 21643, 159493, 1306, 13564, 31622, 479, 26302, 530, 2152, 13341, 661, 67018, 82844, 102285, 1485, 368, 17527, 15, 267, 7921, 6516, 32564, 28226, 7555, 17, 3162, 21608, 4731, 61335, 9487, 613, 20587, 14722, 672, 530, 59269, 15, 5, 28627, 861, 32564, 10925, 17915, 29189, 17158, 660, 12669, 17, 5, 1387, 20870, 488, 5279, 66790, 28835, 71240, 159493, 15, 86109, 427, 15576, 69629, 15, 1306, 141948, 23498, 664, 368, 6607, 661, 1571, 461, 368, 206850, 919, 2914, 6626, 15, 5, 7555, 31640, 54845, 13159, 15, 131880, 461, 368, 6516, 90817, 219811, 461, 115747, 15, 661, 65282, 1331, 37820, 17, 117015, 51785, 427, 5553, 67791, 632, 861, 1701, 1130, 12974, 5011, 5553, 159493, 17, 1387, 159493, 1306, 5636, 7496, 427, 96721, 368, 34447, 461, 368, 104771, 427, 24373, 17625, 15, 5, 54845, 13159, 22403, 209566, 361, 61335, 6747, 267, 21781, 1002, 3868, 27596, 237532, 664, 93253, 17, 29267, 3172, 603, 5, 3700, 3829, 661, 368, 41050, 361, 17527, 21643, 24763, 15, 1701, 3423, 427, 46944, 267, 6426, 8431, 461, 6223, 11007, 427, 13906, 427, 861, 41050, 15, 5, 1683, 16406, 17, 1387, 28226, 1256, 31163, 6804, 4731, 107975, 75065, 14450, 15, 33711, 131880, 461, 214351, 17339, 128963, 7455, 15, 22403, 54845, 13159, 861, 61335, 109217, 368, 3804, 24307, 4676, 427, 28645, 368, 13905, 632, 6147, 48208, 17, 567, 55331, 109217, 861, 35572, 530, 59269, 1306, 368, 3804, 24307, 162926, 427, 43197, 368, 203730, 12617, 15, 530, 861, 32564, 10925, 12562, 17158, 660, 12669, 15, 5, 107975, 7555, 15, 661, 65282, 1331, 368, 27596, 139027, 47483, 6149, 105311, 66673, 29, 2127, 103115, 33, 34955, 52037, 488, 5279, 66790, 28835, 71240, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 10421, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 126071, 35553, 6516, 239984, 21643, 159493, 1306, 13564, 31622, 479, 26302, 530, 2152, 13341, 661, 67018, 82844, 102285, 1485, 368, 17527, 15, 267, 7921, 6516, 32564, 28226, 7555, 17, 3162, 21608, 4731, 61335, 9487, 613, 20587, 14722, 672, 530, 59269, 15, 5, 28627, 861, 32564, 10925, 17915, 29189, 17158, 660, 12669, 17, 5, 1387, 20870, 488, 5279, 66790, 28835, 71240, 159493, 15, 86109, 427, 15576, 69629, 15, 1306, 141948, 23498, 664, 368, 6607, 661, 1571, 461, 368, 206850, 919, 2914, 6626, 15, 5, 7555, 31640, 54845, 13159, 15, 131880, 461, 368, 6516, 90817, 219811, 461, 115747, 15, 661, 65282, 1331, 37820, 17, 117015, 51785, 427, 5553, 67791, 632, 861, 1701, 1130, 12974, 5011, 5553, 159493, 17, 1387, 159493, 1306, 5636, 7496, 427, 96721, 368, 34447, 461, 368, 104771, 427, 24373, 17625, 15, 5, 54845, 13159, 22403, 209566, 361, 61335, 6747, 267, 21781, 1002, 3868, 27596, 237532, 664, 93253, 17, 29267, 3172, 603, 5, 3700, 3829, 661, 368, 41050, 361, 17527, 21643, 24763, 15, 1701, 3423, 427, 46944, 267, 6426, 8431, 461, 6223, 11007, 427, 13906, 427, 861, 41050, 15, 5, 1683, 16406, 17, 1387, 28226, 1256, 31163, 6804, 4731, 107975, 75065, 14450, 15, 33711, 131880, 461, 214351, 17339, 128963, 7455, 15, 22403, 54845, 13159, 861, 61335, 109217, 368, 3804, 24307, 4676, 427, 28645, 368, 13905, 632, 6147, 48208, 17, 567, 55331, 109217, 861, 35572, 530, 59269, 1306, 368, 3804, 24307, 162926, 427, 43197, 368, 203730, 12617, 15, 530, 861, 32564, 10925, 12562, 17158, 660, 12669, 15, 5, 107975, 7555, 15, 661, 65282, 1331, 368, 27596, 139027, 47483, 6149, 105311, 66673, 29, 2127, 103115, 33, 1111, 26417, 1251, 185343, 15, 104524, 59112, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 41846, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 126071, 35553, 6516, 239984, 21643, 159493, 1306, 13564, 31622, 479, 26302, 530, 2152, 13341, 661, 67018, 82844, 102285, 1485, 368, 17527, 15, 267, 7921, 6516, 32564, 28226, 7555, 17, 3162, 21608, 4731, 61335, 9487, 613, 20587, 14722, 672, 530, 59269, 15, 5, 28627, 861, 32564, 10925, 17915, 29189, 17158, 660, 12669, 17, 5, 1387, 20870, 488, 5279, 66790, 28835, 71240, 159493, 15, 86109, 427, 15576, 69629, 15, 1306, 141948, 23498, 664, 368, 6607, 661, 1571, 461, 368, 206850, 919, 2914, 6626, 15, 5, 7555, 31640, 54845, 13159, 15, 131880, 461, 368, 6516, 90817, 219811, 461, 115747, 15, 661, 65282, 1331, 37820, 17, 117015, 51785, 427, 5553, 67791, 632, 861, 1701, 1130, 12974, 5011, 5553, 159493, 17, 1387, 159493, 1306, 5636, 7496, 427, 96721, 368, 34447, 461, 368, 104771, 427, 24373, 17625, 15, 5, 54845, 13159, 22403, 209566, 361, 61335, 6747, 267, 21781, 1002, 3868, 27596, 237532, 664, 93253, 17, 29267, 3172, 603, 5, 3700, 3829, 661, 368, 41050, 361, 17527, 21643, 24763, 15, 1701, 3423, 427, 46944, 267, 6426, 8431, 461, 6223, 11007, 427, 13906, 427, 861, 41050, 15, 5, 1683, 16406, 17, 1387, 28226, 1256, 31163, 6804, 4731, 107975, 75065, 14450, 15, 33711, 131880, 461, 214351, 17339, 128963, 7455, 15, 22403, 54845, 13159, 861, 61335, 109217, 368, 3804, 24307, 4676, 427, 28645, 368, 13905, 632, 6147, 48208, 17, 567, 55331, 109217, 861, 35572, 530, 59269, 1306, 368, 3804, 24307, 162926, 427, 43197, 368, 203730, 12617, 15, 530, 861, 32564, 10925, 12562, 17158, 660, 12669, 15, 5, 107975, 7555, 15, 661, 65282, 1331, 368, 27596, 139027, 47483, 6149, 105311, 66673, 29, 2127, 103115, 33, 34955, 8309, 90817, 219811, 461, 115747, 5, 15, 567, 118378, 5, 15, 567, 55331, 1256, 17339, 128963, 7455, 5, 15, 71515, 121685, 139027, 47483, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 16340, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 126071, 35553, 6516, 239984, 21643, 159493, 1306, 13564, 31622, 479, 26302, 530, 2152, 13341, 661, 67018, 82844, 102285, 1485, 368, 17527, 15, 267, 7921, 6516, 32564, 28226, 7555, 17, 3162, 21608, 4731, 61335, 9487, 613, 20587, 14722, 672, 530, 59269, 15, 5, 28627, 861, 32564, 10925, 17915, 29189, 17158, 660, 12669, 17, 5, 1387, 20870, 488, 5279, 66790, 28835, 71240, 159493, 15, 86109, 427, 15576, 69629, 15, 1306, 141948, 23498, 664, 368, 6607, 661, 1571, 461, 368, 206850, 919, 2914, 6626, 15, 5, 7555, 31640, 54845, 13159, 15, 131880, 461, 368, 6516, 90817, 219811, 461, 115747, 15, 661, 65282, 1331, 37820, 17, 117015, 51785, 427, 5553, 67791, 632, 861, 1701, 1130, 12974, 5011, 5553, 159493, 17, 1387, 159493, 1306, 5636, 7496, 427, 96721, 368, 34447, 461, 368, 104771, 427, 24373, 17625, 15, 5, 54845, 13159, 22403, 209566, 361, 61335, 6747, 267, 21781, 1002, 3868, 27596, 237532, 664, 93253, 17, 29267, 3172, 603, 5, 3700, 3829, 661, 368, 41050, 361, 17527, 21643, 24763, 15, 1701, 3423, 427, 46944, 267, 6426, 8431, 461, 6223, 11007, 427, 13906, 427, 861, 41050, 15, 5, 1683, 16406, 17, 1387, 28226, 1256, 31163, 6804, 4731, 107975, 75065, 14450, 15, 33711, 131880, 461, 214351, 17339, 128963, 7455, 15, 22403, 54845, 13159, 861, 61335, 109217, 368, 3804, 24307, 4676, 427, 28645, 368, 13905, 632, 6147, 48208, 17, 567, 55331, 109217, 861, 35572, 530, 59269, 1306, 368, 3804, 24307, 162926, 427, 43197, 368, 203730, 12617, 15, 530, 861, 32564, 10925, 12562, 17158, 660, 12669, 15, 5, 107975, 7555, 15, 661, 65282, 1331, 368, 27596, 139027, 47483, 6149, 105311, 66673, 29, 2127, 103115, 33, 34955, 155461, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 19428, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 126071, 35553, 6516, 239984, 21643, 159493, 1306, 13564, 31622, 479, 26302, 530, 2152, 13341, 661, 67018, 82844, 102285, 1485, 368, 17527, 15, 267, 7921, 6516, 32564, 28226, 7555, 17, 3162, 21608, 4731, 61335, 9487, 613, 20587, 14722, 672, 530, 59269, 15, 5, 28627, 861, 32564, 10925, 17915, 29189, 17158, 660, 12669, 17, 5, 1387, 20870, 488, 5279, 66790, 28835, 71240, 159493, 15, 86109, 427, 15576, 69629, 15, 1306, 141948, 23498, 664, 368, 6607, 661, 1571, 461, 368, 206850, 919, 2914, 6626, 15, 5, 7555, 31640, 54845, 13159, 15, 131880, 461, 368, 6516, 90817, 219811, 461, 115747, 15, 661, 65282, 1331, 37820, 17, 117015, 51785, 427, 5553, 67791, 632, 861, 1701, 1130, 12974, 5011, 5553, 159493, 17, 1387, 159493, 1306, 5636, 7496, 427, 96721, 368, 34447, 461, 368, 104771, 427, 24373, 17625, 15, 5, 54845, 13159, 22403, 209566, 361, 61335, 6747, 267, 21781, 1002, 3868, 27596, 237532, 664, 93253, 17, 29267, 3172, 603, 5, 3700, 3829, 661, 368, 41050, 361, 17527, 21643, 24763, 15, 1701, 3423, 427, 46944, 267, 6426, 8431, 461, 6223, 11007, 427, 13906, 427, 861, 41050, 15, 5, 1683, 16406, 17, 1387, 28226, 1256, 31163, 6804, 4731, 107975, 75065, 14450, 15, 33711, 131880, 461, 214351, 17339, 128963, 7455, 15, 22403, 54845, 13159, 861, 61335, 109217, 368, 3804, 24307, 4676, 427, 28645, 368, 13905, 632, 6147, 48208, 17, 567, 55331, 109217, 861, 35572, 530, 59269, 1306, 368, 3804, 24307, 162926, 427, 43197, 368, 203730, 12617, 15, 530, 861, 32564, 10925, 12562, 17158, 660, 12669, 15, 5, 107975, 7555, 15, 661, 65282, 1331, 368, 27596, 139027, 47483, 6149, 105311, 66673, 29, 2127, 103115, 33, 34955, 8309, 5, 15, 10101, 6977, 21643, 5, 15, 24486, 6709, 5, 15, 14704, 72, 3767, 37287, 15, 24486, 6709, 21643, 5, 15, 567, 6679, 1435, 3356, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 51950, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 126071, 35553, 6516, 239984, 21643, 159493, 1306, 13564, 31622, 479, 26302, 530, 2152, 13341, 661, 67018, 82844, 102285, 1485, 368, 17527, 15, 267, 7921, 6516, 32564, 28226, 7555, 17, 3162, 21608, 4731, 61335, 9487, 613, 20587, 14722, 672, 530, 59269, 15, 5, 28627, 861, 32564, 10925, 17915, 29189, 17158, 660, 12669, 17, 5, 1387, 20870, 488, 5279, 66790, 28835, 71240, 159493, 15, 86109, 427, 15576, 69629, 15, 1306, 141948, 23498, 664, 368, 6607, 661, 1571, 461, 368, 206850, 919, 2914, 6626, 15, 5, 7555, 31640, 54845, 13159, 15, 131880, 461, 368, 6516, 90817, 219811, 461, 115747, 15, 661, 65282, 1331, 37820, 17, 117015, 51785, 427, 5553, 67791, 632, 861, 1701, 1130, 12974, 5011, 5553, 159493, 17, 1387, 159493, 1306, 5636, 7496, 427, 96721, 368, 34447, 461, 368, 104771, 427, 24373, 17625, 15, 5, 54845, 13159, 22403, 209566, 361, 61335, 6747, 267, 21781, 1002, 3868, 27596, 237532, 664, 93253, 17, 29267, 3172, 603, 5, 3700, 3829, 661, 368, 41050, 361, 17527, 21643, 24763, 15, 1701, 3423, 427, 46944, 267, 6426, 8431, 461, 6223, 11007, 427, 13906, 427, 861, 41050, 15, 5, 1683, 16406, 17, 1387, 28226, 1256, 31163, 6804, 4731, 107975, 75065, 14450, 15, 33711, 131880, 461, 214351, 17339, 128963, 7455, 15, 22403, 54845, 13159, 861, 61335, 109217, 368, 3804, 24307, 4676, 427, 28645, 368, 13905, 632, 6147, 48208, 17, 567, 55331, 109217, 861, 35572, 530, 59269, 1306, 368, 3804, 24307, 162926, 427, 43197, 368, 203730, 12617, 15, 530, 861, 32564, 10925, 12562, 17158, 660, 12669, 15, 5, 107975, 7555, 15, 661, 65282, 1331, 368, 27596, 139027, 47483, 6149, 105311, 66673, 29, 2127, 103115, 33, 16111, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 28770, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 1629, 29, 603, 52548, 17642, 3006, 1130, 10789, 34975, 664, 15202, 66957, 99834, 603, 10203, 361, 17817, 461, 267, 23599, 861, 632, 3936, 267, 33669, 101135, 9487, 567, 229904, 16854, 17642, 3006, 5, 530, 1400, 722, 6222, 2566, 83087, 17, 6312, 124436, 133190, 18, 81869, 12507, 62581, 16, 37620, 125982, 3006, 79786, 23029, 12074, 17, 1387, 23599, 632, 8448, 5984, 178298, 17, 1339, 17, 13929, 132762, 368, 10172, 664, 72543, 791, 49144, 15, 368, 101135, 11859, 3370, 15977, 15, 1965, 3262, 132762, 361, 2914, 6848, 22974, 31777, 15, 368, 16550, 613, 5546, 101135, 10713, 76765, 530, 16909, 718, 5382, 3269, 31279, 80039, 1485, 368, 7921, 17, 6782, 1130, 11097, 14600, 1119, 632, 660, 6869, 32678, 361, 6848, 22974, 791, 1320, 1119, 632, 7747, 861, 473, 912, 51806, 1331, 10343, 427, 214008, 368, 16550, 1427, 368, 23599, 2152, 10713, 46233, 17, 5673, 23588, 4384, 1809, 72560, 1119, 6875, 530, 45406, 4143, 427, 8256, 718, 15, 6782, 1728, 124439, 17, 27349, 3466, 3269, 427, 4472, 1320, 23588, 4384, 1809, 15397, 1119, 6875, 15, 1965, 105005, 3784, 11045, 427, 8256, 718, 17, 59283, 1152, 17, 105901, 603, 19842, 915, 59463, 2388, 1728, 368, 16550, 17, 2685, 604, 8943, 26001, 120785, 375, 7940, 5984, 178298, 17, 1339, 1013, 1152, 1400, 27497, 8512, 100912, 83021, 15, 2131, 2152, 5219, 2632, 10172, 22608, 17, 35371, 915, 1387, 12617, 861, 1152, 28950, 647, 13929, 1152, 7010, 368, 14218, 10344, 361, 8943, 61022, 15, 36900, 15, 2782, 632, 3331, 12617, 1002, 368, 115379, 4100, 225058, 24021, 17, 23504, 4143, 718, 632, 1130, 22411, 4100, 225058, 24021, 34975, 6149, 105311, 66673, 29, 2127, 103115, 33, 34955, 52548, 17642, 3006, 5, 15, 567, 17555, 66957, 5, 15, 567, 229904, 16854, 17642, 3006, 5, 15, 25241, 1273, 46509, 5, 15, 567, 25027, 5, 15, 41108, 32530, 5, 15, 567, 35839, 26001, 49508, 24804, 15, 13987, 6059, 4100, 225058, 24021, 5, 15, 567, 35839, 61022, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 4052, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 1629, 29, 603, 52548, 17642, 3006, 1130, 10789, 34975, 664, 15202, 66957, 99834, 603, 10203, 361, 17817, 461, 267, 23599, 861, 632, 3936, 267, 33669, 101135, 9487, 567, 229904, 16854, 17642, 3006, 5, 530, 1400, 722, 6222, 2566, 83087, 17, 6312, 124436, 133190, 18, 81869, 12507, 62581, 16, 37620, 125982, 3006, 79786, 23029, 12074, 17, 1387, 23599, 632, 8448, 5984, 178298, 17, 1339, 17, 13929, 132762, 368, 10172, 664, 72543, 791, 49144, 15, 368, 101135, 11859, 3370, 15977, 15, 1965, 3262, 132762, 361, 2914, 6848, 22974, 31777, 15, 368, 16550, 613, 5546, 101135, 10713, 76765, 530, 16909, 718, 5382, 3269, 31279, 80039, 1485, 368, 7921, 17, 6782, 1130, 11097, 14600, 1119, 632, 660, 6869, 32678, 361, 6848, 22974, 791, 1320, 1119, 632, 7747, 861, 473, 912, 51806, 1331, 10343, 427, 214008, 368, 16550, 1427, 368, 23599, 2152, 10713, 46233, 17, 5673, 23588, 4384, 1809, 72560, 1119, 6875, 530, 45406, 4143, 427, 8256, 718, 15, 6782, 1728, 124439, 17, 27349, 3466, 3269, 427, 4472, 1320, 23588, 4384, 1809, 15397, 1119, 6875, 15, 1965, 105005, 3784, 11045, 427, 8256, 718, 17, 59283, 1152, 17, 105901, 603, 19842, 915, 59463, 2388, 1728, 368, 16550, 17, 2685, 604, 8943, 26001, 120785, 375, 7940, 5984, 178298, 17, 1339, 1013, 1152, 1400, 27497, 8512, 100912, 83021, 15, 2131, 2152, 5219, 2632, 10172, 22608, 17, 35371, 915, 1387, 12617, 861, 1152, 28950, 647, 13929, 1152, 7010, 368, 14218, 10344, 361, 8943, 61022, 15, 36900, 15, 2782, 632, 3331, 12617, 1002, 368, 115379, 4100, 225058, 24021, 17, 23504, 4143, 718, 632, 1130, 22411, 4100, 225058, 24021, 34975, 6149, 105311, 66673, 29, 2127, 103115, 33, 34955, 114683, 5, 15, 567, 29943, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 19968, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 1629, 29, 603, 52548, 17642, 3006, 1130, 10789, 34975, 664, 15202, 66957, 99834, 603, 10203, 361, 17817, 461, 267, 23599, 861, 632, 3936, 267, 33669, 101135, 9487, 567, 229904, 16854, 17642, 3006, 5, 530, 1400, 722, 6222, 2566, 83087, 17, 6312, 124436, 133190, 18, 81869, 12507, 62581, 16, 37620, 125982, 3006, 79786, 23029, 12074, 17, 1387, 23599, 632, 8448, 5984, 178298, 17, 1339, 17, 13929, 132762, 368, 10172, 664, 72543, 791, 49144, 15, 368, 101135, 11859, 3370, 15977, 15, 1965, 3262, 132762, 361, 2914, 6848, 22974, 31777, 15, 368, 16550, 613, 5546, 101135, 10713, 76765, 530, 16909, 718, 5382, 3269, 31279, 80039, 1485, 368, 7921, 17, 6782, 1130, 11097, 14600, 1119, 632, 660, 6869, 32678, 361, 6848, 22974, 791, 1320, 1119, 632, 7747, 861, 473, 912, 51806, 1331, 10343, 427, 214008, 368, 16550, 1427, 368, 23599, 2152, 10713, 46233, 17, 5673, 23588, 4384, 1809, 72560, 1119, 6875, 530, 45406, 4143, 427, 8256, 718, 15, 6782, 1728, 124439, 17, 27349, 3466, 3269, 427, 4472, 1320, 23588, 4384, 1809, 15397, 1119, 6875, 15, 1965, 105005, 3784, 11045, 427, 8256, 718, 17, 59283, 1152, 17, 105901, 603, 19842, 915, 59463, 2388, 1728, 368, 16550, 17, 2685, 604, 8943, 26001, 120785, 375, 7940, 5984, 178298, 17, 1339, 1013, 1152, 1400, 27497, 8512, 100912, 83021, 15, 2131, 2152, 5219, 2632, 10172, 22608, 17, 35371, 915, 1387, 12617, 861, 1152, 28950, 647, 13929, 1152, 7010, 368, 14218, 10344, 361, 8943, 61022, 15, 36900, 15, 2782, 632, 3331, 12617, 1002, 368, 115379, 4100, 225058, 24021, 17, 23504, 4143, 718, 632, 1130, 22411, 4100, 225058, 24021, 34975, 6149, 105311, 66673, 29, 2127, 103115, 33, 16111, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 13995, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 1629, 29, 603, 52548, 17642, 3006, 1130, 10789, 34975, 664, 15202, 66957, 99834, 603, 10203, 361, 17817, 461, 267, 23599, 861, 632, 3936, 267, 33669, 101135, 9487, 567, 229904, 16854, 17642, 3006, 5, 530, 1400, 722, 6222, 2566, 83087, 17, 6312, 124436, 133190, 18, 81869, 12507, 62581, 16, 37620, 125982, 3006, 79786, 23029, 12074, 17, 1387, 23599, 632, 8448, 5984, 178298, 17, 1339, 17, 13929, 132762, 368, 10172, 664, 72543, 791, 49144, 15, 368, 101135, 11859, 3370, 15977, 15, 1965, 3262, 132762, 361, 2914, 6848, 22974, 31777, 15, 368, 16550, 613, 5546, 101135, 10713, 76765, 530, 16909, 718, 5382, 3269, 31279, 80039, 1485, 368, 7921, 17, 6782, 1130, 11097, 14600, 1119, 632, 660, 6869, 32678, 361, 6848, 22974, 791, 1320, 1119, 632, 7747, 861, 473, 912, 51806, 1331, 10343, 427, 214008, 368, 16550, 1427, 368, 23599, 2152, 10713, 46233, 17, 5673, 23588, 4384, 1809, 72560, 1119, 6875, 530, 45406, 4143, 427, 8256, 718, 15, 6782, 1728, 124439, 17, 27349, 3466, 3269, 427, 4472, 1320, 23588, 4384, 1809, 15397, 1119, 6875, 15, 1965, 105005, 3784, 11045, 427, 8256, 718, 17, 59283, 1152, 17, 105901, 603, 19842, 915, 59463, 2388, 1728, 368, 16550, 17, 2685, 604, 8943, 26001, 120785, 375, 7940, 5984, 178298, 17, 1339, 1013, 1152, 1400, 27497, 8512, 100912, 83021, 15, 2131, 2152, 5219, 2632, 10172, 22608, 17, 35371, 915, 1387, 12617, 861, 1152, 28950, 647, 13929, 1152, 7010, 368, 14218, 10344, 361, 8943, 61022, 15, 36900, 15, 2782, 632, 3331, 12617, 1002, 368, 115379, 4100, 225058, 24021, 17, 23504, 4143, 718, 632, 1130, 22411, 4100, 225058, 24021, 34975, 6149, 105311, 66673, 29, 2127, 103115, 33, 16111, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 6875, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 1629, 29, 603, 52548, 17642, 3006, 1130, 10789, 34975, 664, 15202, 66957, 99834, 603, 10203, 361, 17817, 461, 267, 23599, 861, 632, 3936, 267, 33669, 101135, 9487, 567, 229904, 16854, 17642, 3006, 5, 530, 1400, 722, 6222, 2566, 83087, 17, 6312, 124436, 133190, 18, 81869, 12507, 62581, 16, 37620, 125982, 3006, 79786, 23029, 12074, 17, 1387, 23599, 632, 8448, 5984, 178298, 17, 1339, 17, 13929, 132762, 368, 10172, 664, 72543, 791, 49144, 15, 368, 101135, 11859, 3370, 15977, 15, 1965, 3262, 132762, 361, 2914, 6848, 22974, 31777, 15, 368, 16550, 613, 5546, 101135, 10713, 76765, 530, 16909, 718, 5382, 3269, 31279, 80039, 1485, 368, 7921, 17, 6782, 1130, 11097, 14600, 1119, 632, 660, 6869, 32678, 361, 6848, 22974, 791, 1320, 1119, 632, 7747, 861, 473, 912, 51806, 1331, 10343, 427, 214008, 368, 16550, 1427, 368, 23599, 2152, 10713, 46233, 17, 5673, 23588, 4384, 1809, 72560, 1119, 6875, 530, 45406, 4143, 427, 8256, 718, 15, 6782, 1728, 124439, 17, 27349, 3466, 3269, 427, 4472, 1320, 23588, 4384, 1809, 15397, 1119, 6875, 15, 1965, 105005, 3784, 11045, 427, 8256, 718, 17, 59283, 1152, 17, 105901, 603, 19842, 915, 59463, 2388, 1728, 368, 16550, 17, 2685, 604, 8943, 26001, 120785, 375, 7940, 5984, 178298, 17, 1339, 1013, 1152, 1400, 27497, 8512, 100912, 83021, 15, 2131, 2152, 5219, 2632, 10172, 22608, 17, 35371, 915, 1387, 12617, 861, 1152, 28950, 647, 13929, 1152, 7010, 368, 14218, 10344, 361, 8943, 61022, 15, 36900, 15, 2782, 632, 3331, 12617, 1002, 368, 115379, 4100, 225058, 24021, 17, 23504, 4143, 718, 632, 1130, 22411, 4100, 225058, 24021, 34975, 6149, 105311, 66673, 29, 2127, 103115, 33, 34955, 91280, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 2298, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 1629, 29, 603, 52548, 17642, 3006, 1130, 10789, 34975, 664, 15202, 66957, 99834, 603, 10203, 361, 17817, 461, 267, 23599, 861, 632, 3936, 267, 33669, 101135, 9487, 567, 229904, 16854, 17642, 3006, 5, 530, 1400, 722, 6222, 2566, 83087, 17, 6312, 124436, 133190, 18, 81869, 12507, 62581, 16, 37620, 125982, 3006, 79786, 23029, 12074, 17, 1387, 23599, 632, 8448, 5984, 178298, 17, 1339, 17, 13929, 132762, 368, 10172, 664, 72543, 791, 49144, 15, 368, 101135, 11859, 3370, 15977, 15, 1965, 3262, 132762, 361, 2914, 6848, 22974, 31777, 15, 368, 16550, 613, 5546, 101135, 10713, 76765, 530, 16909, 718, 5382, 3269, 31279, 80039, 1485, 368, 7921, 17, 6782, 1130, 11097, 14600, 1119, 632, 660, 6869, 32678, 361, 6848, 22974, 791, 1320, 1119, 632, 7747, 861, 473, 912, 51806, 1331, 10343, 427, 214008, 368, 16550, 1427, 368, 23599, 2152, 10713, 46233, 17, 5673, 23588, 4384, 1809, 72560, 1119, 6875, 530, 45406, 4143, 427, 8256, 718, 15, 6782, 1728, 124439, 17, 27349, 3466, 3269, 427, 4472, 1320, 23588, 4384, 1809, 15397, 1119, 6875, 15, 1965, 105005, 3784, 11045, 427, 8256, 718, 17, 59283, 1152, 17, 105901, 603, 19842, 915, 59463, 2388, 1728, 368, 16550, 17, 2685, 604, 8943, 26001, 120785, 375, 7940, 5984, 178298, 17, 1339, 1013, 1152, 1400, 27497, 8512, 100912, 83021, 15, 2131, 2152, 5219, 2632, 10172, 22608, 17, 35371, 915, 1387, 12617, 861, 1152, 28950, 647, 13929, 1152, 7010, 368, 14218, 10344, 361, 8943, 61022, 15, 36900, 15, 2782, 632, 3331, 12617, 1002, 368, 115379, 4100, 225058, 24021, 17, 23504, 4143, 718, 632, 1130, 22411, 4100, 225058, 24021, 34975, 6149, 105311, 66673, 29, 2127, 103115, 33, 16111, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 19428, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 1201, 4, 115574, 150936, 189, 194510, 4745, 1417, 257, 3290, 189, 135928, 747, 126532, 196064, 64007, 3290, 747, 126532, 12971, 177697, 5, 105446, 114869, 39109, 126351, 15, 11824, 79888, 12765, 17, 244394, 747, 126532, 12971, 184623, 5, 105446, 85, 1316, 18882, 3290, 747, 126532, 12971, 25150, 5, 105446, 35551, 29045, 613, 368, 170392, 9747, 9900, 67, 1873, 361, 1652, 655, 9747, 48792, 67, 17, 188795, 747, 126532, 12971, 139486, 9409, 105446, 85, 1316, 15, 167352, 7762, 15, 167352, 218574, 15, 6281, 3290, 2392, 159080, 20670, 9900, 647, 170392, 128636, 2392, 105103, 87371, 135193, 17200, 566, 18, 566, 38183, 1316, 18882, 17, 149440, 747, 105103, 87371, 135193, 17200, 566, 18, 566, 112403, 17, 149440, 2392, 105103, 61853, 38104, 27014, 35935, 5, 168242, 18882, 17, 85, 1316, 218574, 17, 10474, 73, 239555, 17, 2088, 3290, 215551, 130085, 189, 31, 11678, 6116, 85, 1316, 18882, 3290, 747, 1201, 4, 600, 62, 512, 275, 514, 49144, 1445, 161696, 747, 14580, 6116, 97249, 3290, 837, 3904, 10735, 31777, 632, 8711, 178046, 530, 2152, 6084, 21894, 11330, 7793, 11738, 837, 11217, 17, 17433, 747, 1201, 38508, 105311, 66673, 29, 2127, 103115, 33, 16111, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 2591, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 1201, 4, 115574, 150936, 189, 194510, 4745, 1417, 257, 3290, 189, 135928, 747, 126532, 196064, 64007, 3290, 747, 126532, 12971, 177697, 5, 105446, 114869, 39109, 126351, 15, 11824, 79888, 12765, 17, 244394, 747, 126532, 12971, 184623, 5, 105446, 85, 1316, 18882, 3290, 747, 126532, 12971, 25150, 5, 105446, 35551, 29045, 613, 368, 170392, 9747, 9900, 67, 1873, 361, 1652, 655, 9747, 48792, 67, 17, 188795, 747, 126532, 12971, 139486, 9409, 105446, 85, 1316, 15, 167352, 7762, 15, 167352, 218574, 15, 6281, 3290, 2392, 159080, 20670, 9900, 647, 170392, 128636, 2392, 105103, 87371, 135193, 17200, 566, 18, 566, 38183, 1316, 18882, 17, 149440, 747, 105103, 87371, 135193, 17200, 566, 18, 566, 112403, 17, 149440, 2392, 105103, 61853, 38104, 27014, 35935, 5, 168242, 18882, 17, 85, 1316, 218574, 17, 10474, 73, 239555, 17, 2088, 3290, 215551, 130085, 189, 31, 11678, 6116, 85, 1316, 18882, 3290, 747, 1201, 4, 600, 62, 512, 275, 514, 49144, 1445, 161696, 747, 14580, 6116, 97249, 3290, 837, 3904, 10735, 31777, 632, 8711, 178046, 530, 2152, 6084, 21894, 11330, 7793, 11738, 837, 11217, 17, 17433, 747, 1201, 38508, 105311, 66673, 29, 2127, 103115, 33, 34955, 97249, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 25280, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 1201, 4, 115574, 150936, 189, 194510, 4745, 1417, 257, 3290, 189, 135928, 747, 126532, 196064, 64007, 3290, 747, 126532, 12971, 177697, 5, 105446, 114869, 39109, 126351, 15, 11824, 79888, 12765, 17, 244394, 747, 126532, 12971, 184623, 5, 105446, 85, 1316, 18882, 3290, 747, 126532, 12971, 25150, 5, 105446, 35551, 29045, 613, 368, 170392, 9747, 9900, 67, 1873, 361, 1652, 655, 9747, 48792, 67, 17, 188795, 747, 126532, 12971, 139486, 9409, 105446, 85, 1316, 15, 167352, 7762, 15, 167352, 218574, 15, 6281, 3290, 2392, 159080, 20670, 9900, 647, 170392, 128636, 2392, 105103, 87371, 135193, 17200, 566, 18, 566, 38183, 1316, 18882, 17, 149440, 747, 105103, 87371, 135193, 17200, 566, 18, 566, 112403, 17, 149440, 2392, 105103, 61853, 38104, 27014, 35935, 5, 168242, 18882, 17, 85, 1316, 218574, 17, 10474, 73, 239555, 17, 2088, 3290, 215551, 130085, 189, 31, 11678, 6116, 85, 1316, 18882, 3290, 747, 1201, 4, 600, 62, 512, 275, 514, 49144, 1445, 161696, 747, 14580, 6116, 97249, 3290, 837, 3904, 10735, 31777, 632, 8711, 178046, 530, 2152, 6084, 21894, 11330, 7793, 11738, 837, 11217, 17, 17433, 747, 1201, 38508, 105311, 66673, 29, 2127, 103115, 33, 34955, 136624, 5, 15, 567, 177697, 5, 15, 567, 184623, 5, 15, 156477, 5, 15, 567, 139486, 9409, 15, 567, 64909, 5, 15, 567, 38104, 27014, 35935, 5, 15, 170698, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 5004, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 1201, 4, 115574, 150936, 189, 194510, 4745, 1417, 257, 3290, 189, 135928, 747, 126532, 196064, 64007, 3290, 747, 126532, 12971, 177697, 5, 105446, 114869, 39109, 126351, 15, 11824, 79888, 12765, 17, 244394, 747, 126532, 12971, 184623, 5, 105446, 85, 1316, 18882, 3290, 747, 126532, 12971, 25150, 5, 105446, 35551, 29045, 613, 368, 170392, 9747, 9900, 67, 1873, 361, 1652, 655, 9747, 48792, 67, 17, 188795, 747, 126532, 12971, 139486, 9409, 105446, 85, 1316, 15, 167352, 7762, 15, 167352, 218574, 15, 6281, 3290, 2392, 159080, 20670, 9900, 647, 170392, 128636, 2392, 105103, 87371, 135193, 17200, 566, 18, 566, 38183, 1316, 18882, 17, 149440, 747, 105103, 87371, 135193, 17200, 566, 18, 566, 112403, 17, 149440, 2392, 105103, 61853, 38104, 27014, 35935, 5, 168242, 18882, 17, 85, 1316, 218574, 17, 10474, 73, 239555, 17, 2088, 3290, 215551, 130085, 189, 31, 11678, 6116, 85, 1316, 18882, 3290, 747, 1201, 4, 600, 62, 512, 275, 514, 49144, 1445, 161696, 747, 14580, 6116, 97249, 3290, 837, 3904, 10735, 31777, 632, 8711, 178046, 530, 2152, 6084, 21894, 11330, 7793, 11738, 837, 11217, 17, 17433, 747, 1201, 38508, 105311, 66673, 29, 2127, 103115, 33, 16111, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 17721, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 1201, 4, 115574, 150936, 189, 194510, 4745, 1417, 257, 3290, 189, 135928, 747, 126532, 196064, 64007, 3290, 747, 126532, 12971, 177697, 5, 105446, 114869, 39109, 126351, 15, 11824, 79888, 12765, 17, 244394, 747, 126532, 12971, 184623, 5, 105446, 85, 1316, 18882, 3290, 747, 126532, 12971, 25150, 5, 105446, 35551, 29045, 613, 368, 170392, 9747, 9900, 67, 1873, 361, 1652, 655, 9747, 48792, 67, 17, 188795, 747, 126532, 12971, 139486, 9409, 105446, 85, 1316, 15, 167352, 7762, 15, 167352, 218574, 15, 6281, 3290, 2392, 159080, 20670, 9900, 647, 170392, 128636, 2392, 105103, 87371, 135193, 17200, 566, 18, 566, 38183, 1316, 18882, 17, 149440, 747, 105103, 87371, 135193, 17200, 566, 18, 566, 112403, 17, 149440, 2392, 105103, 61853, 38104, 27014, 35935, 5, 168242, 18882, 17, 85, 1316, 218574, 17, 10474, 73, 239555, 17, 2088, 3290, 215551, 130085, 189, 31, 11678, 6116, 85, 1316, 18882, 3290, 747, 1201, 4, 600, 62, 512, 275, 514, 49144, 1445, 161696, 747, 14580, 6116, 97249, 3290, 837, 3904, 10735, 31777, 632, 8711, 178046, 530, 2152, 6084, 21894, 11330, 7793, 11738, 837, 11217, 17, 17433, 747, 1201, 38508, 105311, 66673, 29, 2127, 103115, 33, 34955, 9900, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 6956, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 1201, 4, 115574, 150936, 189, 194510, 4745, 1417, 257, 3290, 189, 135928, 747, 126532, 196064, 64007, 3290, 747, 126532, 12971, 177697, 5, 105446, 114869, 39109, 126351, 15, 11824, 79888, 12765, 17, 244394, 747, 126532, 12971, 184623, 5, 105446, 85, 1316, 18882, 3290, 747, 126532, 12971, 25150, 5, 105446, 35551, 29045, 613, 368, 170392, 9747, 9900, 67, 1873, 361, 1652, 655, 9747, 48792, 67, 17, 188795, 747, 126532, 12971, 139486, 9409, 105446, 85, 1316, 15, 167352, 7762, 15, 167352, 218574, 15, 6281, 3290, 2392, 159080, 20670, 9900, 647, 170392, 128636, 2392, 105103, 87371, 135193, 17200, 566, 18, 566, 38183, 1316, 18882, 17, 149440, 747, 105103, 87371, 135193, 17200, 566, 18, 566, 112403, 17, 149440, 2392, 105103, 61853, 38104, 27014, 35935, 5, 168242, 18882, 17, 85, 1316, 218574, 17, 10474, 73, 239555, 17, 2088, 3290, 215551, 130085, 189, 31, 11678, 6116, 85, 1316, 18882, 3290, 747, 1201, 4, 600, 62, 512, 275, 514, 49144, 1445, 161696, 747, 14580, 6116, 97249, 3290, 837, 3904, 10735, 31777, 632, 8711, 178046, 530, 2152, 6084, 21894, 11330, 7793, 11738, 837, 11217, 17, 17433, 747, 1201, 38508, 105311, 66673, 29, 2127, 103115, 33, 34955, 3420, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 1652, 655, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 1201, 4, 115574, 150936, 189, 194510, 4745, 1417, 257, 3290, 189, 135928, 747, 126532, 196064, 64007, 3290, 747, 126532, 12971, 177697, 5, 105446, 114869, 39109, 126351, 15, 11824, 79888, 12765, 17, 244394, 747, 126532, 12971, 184623, 5, 105446, 85, 1316, 18882, 3290, 747, 126532, 12971, 25150, 5, 105446, 35551, 29045, 613, 368, 170392, 9747, 9900, 67, 1873, 361, 1652, 655, 9747, 48792, 67, 17, 188795, 747, 126532, 12971, 139486, 9409, 105446, 85, 1316, 15, 167352, 7762, 15, 167352, 218574, 15, 6281, 3290, 2392, 159080, 20670, 9900, 647, 170392, 128636, 2392, 105103, 87371, 135193, 17200, 566, 18, 566, 38183, 1316, 18882, 17, 149440, 747, 105103, 87371, 135193, 17200, 566, 18, 566, 112403, 17, 149440, 2392, 105103, 61853, 38104, 27014, 35935, 5, 168242, 18882, 17, 85, 1316, 218574, 17, 10474, 73, 239555, 17, 2088, 3290, 215551, 130085, 189, 31, 11678, 6116, 85, 1316, 18882, 3290, 747, 1201, 4, 600, 62, 512, 275, 514, 49144, 1445, 161696, 747, 14580, 6116, 97249, 3290, 837, 3904, 10735, 31777, 632, 8711, 178046, 530, 2152, 6084, 21894, 11330, 7793, 11738, 837, 11217, 17, 17433, 747, 1201, 38508, 105311, 66673, 29, 2127, 103115, 33, 34955, 48792, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 95611, 12364, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 1201, 4, 115574, 150936, 189, 194510, 4745, 1417, 257, 3290, 189, 135928, 747, 126532, 196064, 64007, 3290, 747, 126532, 12971, 177697, 5, 105446, 114869, 39109, 126351, 15, 11824, 79888, 12765, 17, 244394, 747, 126532, 12971, 184623, 5, 105446, 85, 1316, 18882, 3290, 747, 126532, 12971, 25150, 5, 105446, 35551, 29045, 613, 368, 170392, 9747, 9900, 67, 1873, 361, 1652, 655, 9747, 48792, 67, 17, 188795, 747, 126532, 12971, 139486, 9409, 105446, 85, 1316, 15, 167352, 7762, 15, 167352, 218574, 15, 6281, 3290, 2392, 159080, 20670, 9900, 647, 170392, 128636, 2392, 105103, 87371, 135193, 17200, 566, 18, 566, 38183, 1316, 18882, 17, 149440, 747, 105103, 87371, 135193, 17200, 566, 18, 566, 112403, 17, 149440, 2392, 105103, 61853, 38104, 27014, 35935, 5, 168242, 18882, 17, 85, 1316, 218574, 17, 10474, 73, 239555, 17, 2088, 3290, 215551, 130085, 189, 31, 11678, 6116, 85, 1316, 18882, 3290, 747, 1201, 4, 600, 62, 512, 275, 514, 49144, 1445, 161696, 747, 14580, 6116, 97249, 3290, 837, 3904, 10735, 31777, 632, 8711, 178046, 530, 2152, 6084, 21894, 11330, 7793, 11738, 837, 11217, 17, 17433, 747, 1201, 38508, 105311, 66673, 29, 2127, 103115, 33, 16111, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 29045, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 1201, 4, 115574, 150936, 189, 194510, 4745, 1417, 257, 3290, 189, 135928, 747, 126532, 196064, 64007, 3290, 747, 126532, 12971, 177697, 5, 105446, 114869, 39109, 126351, 15, 11824, 79888, 12765, 17, 244394, 747, 126532, 12971, 184623, 5, 105446, 85, 1316, 18882, 3290, 747, 126532, 12971, 25150, 5, 105446, 35551, 29045, 613, 368, 170392, 9747, 9900, 67, 1873, 361, 1652, 655, 9747, 48792, 67, 17, 188795, 747, 126532, 12971, 139486, 9409, 105446, 85, 1316, 15, 167352, 7762, 15, 167352, 218574, 15, 6281, 3290, 2392, 159080, 20670, 9900, 647, 170392, 128636, 2392, 105103, 87371, 135193, 17200, 566, 18, 566, 38183, 1316, 18882, 17, 149440, 747, 105103, 87371, 135193, 17200, 566, 18, 566, 112403, 17, 149440, 2392, 105103, 61853, 38104, 27014, 35935, 5, 168242, 18882, 17, 85, 1316, 218574, 17, 10474, 73, 239555, 17, 2088, 3290, 215551, 130085, 189, 31, 11678, 6116, 85, 1316, 18882, 3290, 747, 1201, 4, 600, 62, 512, 275, 514, 49144, 1445, 161696, 747, 14580, 6116, 97249, 3290, 837, 3904, 10735, 31777, 632, 8711, 178046, 530, 2152, 6084, 21894, 11330, 7793, 11738, 837, 11217, 17, 17433, 747, 1201, 38508, 105311, 66673, 29, 2127, 103115, 33, 34955, 35551, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 48928, 16340, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 1201, 4, 115574, 150936, 189, 194510, 4745, 1417, 257, 3290, 189, 135928, 747, 126532, 196064, 64007, 3290, 747, 126532, 12971, 177697, 5, 105446, 114869, 39109, 126351, 15, 11824, 79888, 12765, 17, 244394, 747, 126532, 12971, 184623, 5, 105446, 85, 1316, 18882, 3290, 747, 126532, 12971, 25150, 5, 105446, 35551, 29045, 613, 368, 170392, 9747, 9900, 67, 1873, 361, 1652, 655, 9747, 48792, 67, 17, 188795, 747, 126532, 12971, 139486, 9409, 105446, 85, 1316, 15, 167352, 7762, 15, 167352, 218574, 15, 6281, 3290, 2392, 159080, 20670, 9900, 647, 170392, 128636, 2392, 105103, 87371, 135193, 17200, 566, 18, 566, 38183, 1316, 18882, 17, 149440, 747, 105103, 87371, 135193, 17200, 566, 18, 566, 112403, 17, 149440, 2392, 105103, 61853, 38104, 27014, 35935, 5, 168242, 18882, 17, 85, 1316, 218574, 17, 10474, 73, 239555, 17, 2088, 3290, 215551, 130085, 189, 31, 11678, 6116, 85, 1316, 18882, 3290, 747, 1201, 4, 600, 62, 512, 275, 514, 49144, 1445, 161696, 747, 14580, 6116, 97249, 3290, 837, 3904, 10735, 31777, 632, 8711, 178046, 530, 2152, 6084, 21894, 11330, 7793, 11738, 837, 11217, 17, 17433, 747, 1201, 38508, 105311, 66673, 29, 2127, 103115, 33, 34955, 53, 1316, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 178275, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 1201, 4, 115574, 150936, 189, 194510, 4745, 1417, 257, 3290, 189, 135928, 747, 126532, 196064, 64007, 3290, 747, 126532, 12971, 177697, 5, 105446, 114869, 39109, 126351, 15, 11824, 79888, 12765, 17, 244394, 747, 126532, 12971, 184623, 5, 105446, 85, 1316, 18882, 3290, 747, 126532, 12971, 25150, 5, 105446, 35551, 29045, 613, 368, 170392, 9747, 9900, 67, 1873, 361, 1652, 655, 9747, 48792, 67, 17, 188795, 747, 126532, 12971, 139486, 9409, 105446, 85, 1316, 15, 167352, 7762, 15, 167352, 218574, 15, 6281, 3290, 2392, 159080, 20670, 9900, 647, 170392, 128636, 2392, 105103, 87371, 135193, 17200, 566, 18, 566, 38183, 1316, 18882, 17, 149440, 747, 105103, 87371, 135193, 17200, 566, 18, 566, 112403, 17, 149440, 2392, 105103, 61853, 38104, 27014, 35935, 5, 168242, 18882, 17, 85, 1316, 218574, 17, 10474, 73, 239555, 17, 2088, 3290, 215551, 130085, 189, 31, 11678, 6116, 85, 1316, 18882, 3290, 747, 1201, 4, 600, 62, 512, 275, 514, 49144, 1445, 161696, 747, 14580, 6116, 97249, 3290, 837, 3904, 10735, 31777, 632, 8711, 178046, 530, 2152, 6084, 21894, 11330, 7793, 11738, 837, 11217, 17, 17433, 747, 1201, 38508, 105311, 66673, 29, 2127, 103115, 33, 34955, 12131, 19624, 24804, 15, 567, 23806, 11738, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 13120, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 1201, 4, 115574, 150936, 189, 194510, 4745, 1417, 257, 3290, 189, 135928, 747, 126532, 196064, 64007, 3290, 747, 126532, 12971, 177697, 5, 105446, 114869, 39109, 126351, 15, 11824, 79888, 12765, 17, 244394, 747, 126532, 12971, 184623, 5, 105446, 85, 1316, 18882, 3290, 747, 126532, 12971, 25150, 5, 105446, 35551, 29045, 613, 368, 170392, 9747, 9900, 67, 1873, 361, 1652, 655, 9747, 48792, 67, 17, 188795, 747, 126532, 12971, 139486, 9409, 105446, 85, 1316, 15, 167352, 7762, 15, 167352, 218574, 15, 6281, 3290, 2392, 159080, 20670, 9900, 647, 170392, 128636, 2392, 105103, 87371, 135193, 17200, 566, 18, 566, 38183, 1316, 18882, 17, 149440, 747, 105103, 87371, 135193, 17200, 566, 18, 566, 112403, 17, 149440, 2392, 105103, 61853, 38104, 27014, 35935, 5, 168242, 18882, 17, 85, 1316, 218574, 17, 10474, 73, 239555, 17, 2088, 3290, 215551, 130085, 189, 31, 11678, 6116, 85, 1316, 18882, 3290, 747, 1201, 4, 600, 62, 512, 275, 514, 49144, 1445, 161696, 747, 14580, 6116, 97249, 3290, 837, 3904, 10735, 31777, 632, 8711, 178046, 530, 2152, 6084, 21894, 11330, 7793, 11738, 837, 11217, 17, 17433, 747, 1201, 38508, 105311, 66673, 29, 2127, 103115, 33, 34955, 92842, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 23864, 18077, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 1201, 4, 115574, 150936, 189, 194510, 4745, 1417, 257, 3290, 189, 135928, 747, 126532, 196064, 64007, 3290, 747, 126532, 12971, 177697, 5, 105446, 114869, 39109, 126351, 15, 11824, 79888, 12765, 17, 244394, 747, 126532, 12971, 184623, 5, 105446, 85, 1316, 18882, 3290, 747, 126532, 12971, 25150, 5, 105446, 35551, 29045, 613, 368, 170392, 9747, 9900, 67, 1873, 361, 1652, 655, 9747, 48792, 67, 17, 188795, 747, 126532, 12971, 139486, 9409, 105446, 85, 1316, 15, 167352, 7762, 15, 167352, 218574, 15, 6281, 3290, 2392, 159080, 20670, 9900, 647, 170392, 128636, 2392, 105103, 87371, 135193, 17200, 566, 18, 566, 38183, 1316, 18882, 17, 149440, 747, 105103, 87371, 135193, 17200, 566, 18, 566, 112403, 17, 149440, 2392, 105103, 61853, 38104, 27014, 35935, 5, 168242, 18882, 17, 85, 1316, 218574, 17, 10474, 73, 239555, 17, 2088, 3290, 215551, 130085, 189, 31, 11678, 6116, 85, 1316, 18882, 3290, 747, 1201, 4, 600, 62, 512, 275, 514, 49144, 1445, 161696, 747, 14580, 6116, 97249, 3290, 837, 3904, 10735, 31777, 632, 8711, 178046, 530, 2152, 6084, 21894, 11330, 7793, 11738, 837, 11217, 17, 17433, 747, 1201, 38508, 105311, 66673, 29, 2127, 103115, 33, 34955, 41559, 5, 15, 143445, 5, 15, 567, 9942, 5, 15, 567, 11678, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 56577, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 1629, 29, 603, 54, 40648, 18, 3188, 377, 647, 220925, 54, 428, 9074, 4689, 1130, 13756, 44792, 19302, 21520, 1907, 603, 7994, 1542, 267, 20667, 11305, 664, 5553, 14218, 15, 530, 3262, 473, 5445, 368, 49122, 189, 247366, 1228, 8448, 195911, 17, 231989, 37030, 17, 6312, 92842, 185480, 14485, 18, 5984, 77268, 503, 17090, 473, 5718, 361, 2670, 200505, 24376, 15, 530, 473, 2213, 1119, 189, 19974, 129770, 1387, 220925, 54, 12427, 4689, 1130, 13756, 368, 44792, 19302, 16, 47309, 107964, 30, 1119, 16299, 10925, 861, 368, 21278, 632, 1130, 15202, 8850, 57, 24300, 12991, 603, 10560, 727, 473, 3423, 427, 727, 427, 43197, 1119, 34, 1387, 14951, 33143, 24368, 3866, 1728, 110724, 461, 82626, 23705, 461, 22411, 2256, 29499, 664, 368, 14218, 17, 105901, 603, 3188, 377, 4636, 1130, 14248, 1956, 14974, 171252, 361, 16027, 4676, 427, 722, 149762, 1331, 1956, 14974, 15123, 375, 1143, 17, 6848, 244410, 1216, 1693, 377, 632, 267, 6848, 27449, 613, 6671, 1517, 18395, 15, 530, 368, 31777, 1571, 632, 2782, 613, 427, 1365, 12410, 3226, 189511, 368, 23383, 291, 3979, 1002, 267, 6848, 92842, 17, 5070, 267, 139100, 1152, 6591, 4472, 368, 16736, 427, 1956, 14974, 15, 4618, 718, 632, 48495, 6290, 6848, 244410, 375, 137111, 29, 8448, 247366, 17, 231989, 37030, 17, 6312, 454, 14485, 18, 5984, 77268, 2040, 7188, 105311, 66673, 29, 2127, 103115, 33, 16111, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 29227, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 1629, 29, 603, 54, 40648, 18, 3188, 377, 647, 220925, 54, 428, 9074, 4689, 1130, 13756, 44792, 19302, 21520, 1907, 603, 7994, 1542, 267, 20667, 11305, 664, 5553, 14218, 15, 530, 3262, 473, 5445, 368, 49122, 189, 247366, 1228, 8448, 195911, 17, 231989, 37030, 17, 6312, 92842, 185480, 14485, 18, 5984, 77268, 503, 17090, 473, 5718, 361, 2670, 200505, 24376, 15, 530, 473, 2213, 1119, 189, 19974, 129770, 1387, 220925, 54, 12427, 4689, 1130, 13756, 368, 44792, 19302, 16, 47309, 107964, 30, 1119, 16299, 10925, 861, 368, 21278, 632, 1130, 15202, 8850, 57, 24300, 12991, 603, 10560, 727, 473, 3423, 427, 727, 427, 43197, 1119, 34, 1387, 14951, 33143, 24368, 3866, 1728, 110724, 461, 82626, 23705, 461, 22411, 2256, 29499, 664, 368, 14218, 17, 105901, 603, 3188, 377, 4636, 1130, 14248, 1956, 14974, 171252, 361, 16027, 4676, 427, 722, 149762, 1331, 1956, 14974, 15123, 375, 1143, 17, 6848, 244410, 1216, 1693, 377, 632, 267, 6848, 27449, 613, 6671, 1517, 18395, 15, 530, 368, 31777, 1571, 632, 2782, 613, 427, 1365, 12410, 3226, 189511, 368, 23383, 291, 3979, 1002, 267, 6848, 92842, 17, 5070, 267, 139100, 1152, 6591, 4472, 368, 16736, 427, 1956, 14974, 15, 4618, 718, 632, 48495, 6290, 6848, 244410, 375, 137111, 29, 8448, 247366, 17, 231989, 37030, 17, 6312, 454, 14485, 18, 5984, 77268, 2040, 7188, 105311, 66673, 29, 2127, 103115, 33, 34955, 243979, 5, 15, 567, 17555, 8850, 57, 5, 15, 567, 9092, 244410, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 28770, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 1629, 29, 603, 54, 40648, 18, 3188, 377, 647, 220925, 54, 428, 9074, 4689, 1130, 13756, 44792, 19302, 21520, 1907, 603, 7994, 1542, 267, 20667, 11305, 664, 5553, 14218, 15, 530, 3262, 473, 5445, 368, 49122, 189, 247366, 1228, 8448, 195911, 17, 231989, 37030, 17, 6312, 92842, 185480, 14485, 18, 5984, 77268, 503, 17090, 473, 5718, 361, 2670, 200505, 24376, 15, 530, 473, 2213, 1119, 189, 19974, 129770, 1387, 220925, 54, 12427, 4689, 1130, 13756, 368, 44792, 19302, 16, 47309, 107964, 30, 1119, 16299, 10925, 861, 368, 21278, 632, 1130, 15202, 8850, 57, 24300, 12991, 603, 10560, 727, 473, 3423, 427, 727, 427, 43197, 1119, 34, 1387, 14951, 33143, 24368, 3866, 1728, 110724, 461, 82626, 23705, 461, 22411, 2256, 29499, 664, 368, 14218, 17, 105901, 603, 3188, 377, 4636, 1130, 14248, 1956, 14974, 171252, 361, 16027, 4676, 427, 722, 149762, 1331, 1956, 14974, 15123, 375, 1143, 17, 6848, 244410, 1216, 1693, 377, 632, 267, 6848, 27449, 613, 6671, 1517, 18395, 15, 530, 368, 31777, 1571, 632, 2782, 613, 427, 1365, 12410, 3226, 189511, 368, 23383, 291, 3979, 1002, 267, 6848, 92842, 17, 5070, 267, 139100, 1152, 6591, 4472, 368, 16736, 427, 1956, 14974, 15, 4618, 718, 632, 48495, 6290, 6848, 244410, 375, 137111, 29, 8448, 247366, 17, 231989, 37030, 17, 6312, 454, 14485, 18, 5984, 77268, 2040, 7188, 105311, 66673, 29, 2127, 103115, 33, 34955, 18529, 5, 15, 567, 8611, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 18483, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 1629, 29, 603, 54, 40648, 18, 3188, 377, 647, 220925, 54, 428, 9074, 4689, 1130, 13756, 44792, 19302, 21520, 1907, 603, 7994, 1542, 267, 20667, 11305, 664, 5553, 14218, 15, 530, 3262, 473, 5445, 368, 49122, 189, 247366, 1228, 8448, 195911, 17, 231989, 37030, 17, 6312, 92842, 185480, 14485, 18, 5984, 77268, 503, 17090, 473, 5718, 361, 2670, 200505, 24376, 15, 530, 473, 2213, 1119, 189, 19974, 129770, 1387, 220925, 54, 12427, 4689, 1130, 13756, 368, 44792, 19302, 16, 47309, 107964, 30, 1119, 16299, 10925, 861, 368, 21278, 632, 1130, 15202, 8850, 57, 24300, 12991, 603, 10560, 727, 473, 3423, 427, 727, 427, 43197, 1119, 34, 1387, 14951, 33143, 24368, 3866, 1728, 110724, 461, 82626, 23705, 461, 22411, 2256, 29499, 664, 368, 14218, 17, 105901, 603, 3188, 377, 4636, 1130, 14248, 1956, 14974, 171252, 361, 16027, 4676, 427, 722, 149762, 1331, 1956, 14974, 15123, 375, 1143, 17, 6848, 244410, 1216, 1693, 377, 632, 267, 6848, 27449, 613, 6671, 1517, 18395, 15, 530, 368, 31777, 1571, 632, 2782, 613, 427, 1365, 12410, 3226, 189511, 368, 23383, 291, 3979, 1002, 267, 6848, 92842, 17, 5070, 267, 139100, 1152, 6591, 4472, 368, 16736, 427, 1956, 14974, 15, 4618, 718, 632, 48495, 6290, 6848, 244410, 375, 137111, 29, 8448, 247366, 17, 231989, 37030, 17, 6312, 454, 14485, 18, 5984, 77268, 2040, 7188, 105311, 66673, 29, 2127, 103115, 33, 16111, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 16333, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 1629, 29, 603, 54, 40648, 18, 3188, 377, 647, 220925, 54, 428, 9074, 4689, 1130, 13756, 44792, 19302, 21520, 1907, 603, 7994, 1542, 267, 20667, 11305, 664, 5553, 14218, 15, 530, 3262, 473, 5445, 368, 49122, 189, 247366, 1228, 8448, 195911, 17, 231989, 37030, 17, 6312, 92842, 185480, 14485, 18, 5984, 77268, 503, 17090, 473, 5718, 361, 2670, 200505, 24376, 15, 530, 473, 2213, 1119, 189, 19974, 129770, 1387, 220925, 54, 12427, 4689, 1130, 13756, 368, 44792, 19302, 16, 47309, 107964, 30, 1119, 16299, 10925, 861, 368, 21278, 632, 1130, 15202, 8850, 57, 24300, 12991, 603, 10560, 727, 473, 3423, 427, 727, 427, 43197, 1119, 34, 1387, 14951, 33143, 24368, 3866, 1728, 110724, 461, 82626, 23705, 461, 22411, 2256, 29499, 664, 368, 14218, 17, 105901, 603, 3188, 377, 4636, 1130, 14248, 1956, 14974, 171252, 361, 16027, 4676, 427, 722, 149762, 1331, 1956, 14974, 15123, 375, 1143, 17, 6848, 244410, 1216, 1693, 377, 632, 267, 6848, 27449, 613, 6671, 1517, 18395, 15, 530, 368, 31777, 1571, 632, 2782, 613, 427, 1365, 12410, 3226, 189511, 368, 23383, 291, 3979, 1002, 267, 6848, 92842, 17, 5070, 267, 139100, 1152, 6591, 4472, 368, 16736, 427, 1956, 14974, 15, 4618, 718, 632, 48495, 6290, 6848, 244410, 375, 137111, 29, 8448, 247366, 17, 231989, 37030, 17, 6312, 454, 14485, 18, 5984, 77268, 2040, 7188, 105311, 66673, 29, 2127, 103115, 33, 16111, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 15270, 15584, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 1629, 29, 603, 54, 40648, 18, 3188, 377, 647, 220925, 54, 428, 9074, 4689, 1130, 13756, 44792, 19302, 21520, 1907, 603, 7994, 1542, 267, 20667, 11305, 664, 5553, 14218, 15, 530, 3262, 473, 5445, 368, 49122, 189, 247366, 1228, 8448, 195911, 17, 231989, 37030, 17, 6312, 92842, 185480, 14485, 18, 5984, 77268, 503, 17090, 473, 5718, 361, 2670, 200505, 24376, 15, 530, 473, 2213, 1119, 189, 19974, 129770, 1387, 220925, 54, 12427, 4689, 1130, 13756, 368, 44792, 19302, 16, 47309, 107964, 30, 1119, 16299, 10925, 861, 368, 21278, 632, 1130, 15202, 8850, 57, 24300, 12991, 603, 10560, 727, 473, 3423, 427, 727, 427, 43197, 1119, 34, 1387, 14951, 33143, 24368, 3866, 1728, 110724, 461, 82626, 23705, 461, 22411, 2256, 29499, 664, 368, 14218, 17, 105901, 603, 3188, 377, 4636, 1130, 14248, 1956, 14974, 171252, 361, 16027, 4676, 427, 722, 149762, 1331, 1956, 14974, 15123, 375, 1143, 17, 6848, 244410, 1216, 1693, 377, 632, 267, 6848, 27449, 613, 6671, 1517, 18395, 15, 530, 368, 31777, 1571, 632, 2782, 613, 427, 1365, 12410, 3226, 189511, 368, 23383, 291, 3979, 1002, 267, 6848, 92842, 17, 5070, 267, 139100, 1152, 6591, 4472, 368, 16736, 427, 1956, 14974, 15, 4618, 718, 632, 48495, 6290, 6848, 244410, 375, 137111, 29, 8448, 247366, 17, 231989, 37030, 17, 6312, 454, 14485, 18, 5984, 77268, 2040, 7188, 105311, 66673, 29, 2127, 103115, 33, 34955, 3565, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 20165, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 1629, 29, 603, 54, 40648, 18, 3188, 377, 647, 220925, 54, 428, 9074, 4689, 1130, 13756, 44792, 19302, 21520, 1907, 603, 7994, 1542, 267, 20667, 11305, 664, 5553, 14218, 15, 530, 3262, 473, 5445, 368, 49122, 189, 247366, 1228, 8448, 195911, 17, 231989, 37030, 17, 6312, 92842, 185480, 14485, 18, 5984, 77268, 503, 17090, 473, 5718, 361, 2670, 200505, 24376, 15, 530, 473, 2213, 1119, 189, 19974, 129770, 1387, 220925, 54, 12427, 4689, 1130, 13756, 368, 44792, 19302, 16, 47309, 107964, 30, 1119, 16299, 10925, 861, 368, 21278, 632, 1130, 15202, 8850, 57, 24300, 12991, 603, 10560, 727, 473, 3423, 427, 727, 427, 43197, 1119, 34, 1387, 14951, 33143, 24368, 3866, 1728, 110724, 461, 82626, 23705, 461, 22411, 2256, 29499, 664, 368, 14218, 17, 105901, 603, 3188, 377, 4636, 1130, 14248, 1956, 14974, 171252, 361, 16027, 4676, 427, 722, 149762, 1331, 1956, 14974, 15123, 375, 1143, 17, 6848, 244410, 1216, 1693, 377, 632, 267, 6848, 27449, 613, 6671, 1517, 18395, 15, 530, 368, 31777, 1571, 632, 2782, 613, 427, 1365, 12410, 3226, 189511, 368, 23383, 291, 3979, 1002, 267, 6848, 92842, 17, 5070, 267, 139100, 1152, 6591, 4472, 368, 16736, 427, 1956, 14974, 15, 4618, 718, 632, 48495, 6290, 6848, 244410, 375, 137111, 29, 8448, 247366, 17, 231989, 37030, 17, 6312, 454, 14485, 18, 5984, 77268, 2040, 7188, 105311, 66673, 29, 2127, 103115, 33, 34955, 194028, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 13120, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 1629, 29, 603, 54, 40648, 18, 3188, 377, 647, 220925, 54, 428, 9074, 4689, 1130, 13756, 44792, 19302, 21520, 1907, 603, 7994, 1542, 267, 20667, 11305, 664, 5553, 14218, 15, 530, 3262, 473, 5445, 368, 49122, 189, 247366, 1228, 8448, 195911, 17, 231989, 37030, 17, 6312, 92842, 185480, 14485, 18, 5984, 77268, 503, 17090, 473, 5718, 361, 2670, 200505, 24376, 15, 530, 473, 2213, 1119, 189, 19974, 129770, 1387, 220925, 54, 12427, 4689, 1130, 13756, 368, 44792, 19302, 16, 47309, 107964, 30, 1119, 16299, 10925, 861, 368, 21278, 632, 1130, 15202, 8850, 57, 24300, 12991, 603, 10560, 727, 473, 3423, 427, 727, 427, 43197, 1119, 34, 1387, 14951, 33143, 24368, 3866, 1728, 110724, 461, 82626, 23705, 461, 22411, 2256, 29499, 664, 368, 14218, 17, 105901, 603, 3188, 377, 4636, 1130, 14248, 1956, 14974, 171252, 361, 16027, 4676, 427, 722, 149762, 1331, 1956, 14974, 15123, 375, 1143, 17, 6848, 244410, 1216, 1693, 377, 632, 267, 6848, 27449, 613, 6671, 1517, 18395, 15, 530, 368, 31777, 1571, 632, 2782, 613, 427, 1365, 12410, 3226, 189511, 368, 23383, 291, 3979, 1002, 267, 6848, 92842, 17, 5070, 267, 139100, 1152, 6591, 4472, 368, 16736, 427, 1956, 14974, 15, 4618, 718, 632, 48495, 6290, 6848, 244410, 375, 137111, 29, 8448, 247366, 17, 231989, 37030, 17, 6312, 454, 14485, 18, 5984, 77268, 2040, 7188, 105311, 66673, 29, 2127, 103115, 33, 34955, 3188, 377, 5, 15, 159545, 14974, 5, 15, 567, 19390, 5, 15, 567, 9092, 27449, 5, 15, 567, 9092, 92842, 5, 15, 12061, 39422, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 31073, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 47468, 109560, 461, 297, 49, 5678, 530, 233742, 7371, 20, 41847, 2742, 31298, 89908, 45858, 196446, 361, 73737, 26073, 16715, 54451, 14973, 90119, 4731, 73737, 13124, 386, 68484, 17, 6914, 55946, 368, 17395, 461, 45448, 224076, 76291, 361, 41847, 17251, 427, 30214, 87773, 47970, 375, 59, 53, 7371, 20, 15, 15183, 6794, 15, 29590, 121744, 15, 29590, 136734, 15, 2231, 27379, 1013, 224580, 29534, 12427, 375, 207140, 144037, 15, 158809, 60474, 15, 297, 49, 5678, 15, 403, 19816, 21, 12, 530, 229319, 155577, 117062, 375, 55, 61445, 12662, 20, 12, 664, 368, 22557, 461, 89908, 45858, 196446, 361, 73737, 26073, 16715, 54451, 14973, 90119, 17, 127098, 196446, 1620, 101243, 19476, 427, 368, 97821, 529, 234203, 233511, 8007, 12190, 48174, 361, 96306, 73737, 26073, 16715, 5268, 15017, 14973, 90119, 4731, 73737, 13124, 386, 68484, 17, 15722, 101160, 386, 1620, 46791, 1331, 52171, 14747, 32661, 51, 17253, 530, 141061, 52171, 51733, 1024, 35676, 119602, 664, 210036, 30214, 92384, 1485, 119024, 25266, 17, 1004, 368, 5001, 139828, 17253, 15, 19791, 2194, 16004, 57917, 15, 6880, 15289, 30888, 36447, 15, 3121, 6222, 5299, 233742, 7371, 20, 445, 129140, 38, 375, 55, 156865, 19485, 17, 30112, 15, 19087, 29, 415, 17, 40752, 15, 71828, 58226, 29, 404, 17, 84534, 9571, 17, 28, 7696, 15, 426, 12607, 17, 217503, 1013, 297, 49, 5678, 602, 140700, 55, 224076, 76291, 375, 10340, 19485, 17, 602, 156865, 15, 19087, 29, 415, 17, 135382, 15, 71828, 58226, 29, 404, 17, 41375, 11102, 17, 100622, 15, 426, 12607, 17, 100622, 1013, 73737, 51297, 375, 3521, 29, 404, 17, 45366, 15, 71828, 58226, 29, 404, 17, 9114, 4139, 17, 93952, 15, 426, 12607, 17, 196078, 1013, 34177, 1883, 11188, 86783, 529, 375, 22, 106612, 19485, 17, 654, 34177, 15, 19087, 29, 934, 17, 164392, 15, 71828, 58226, 29, 404, 17, 92816, 13470, 17, 136445, 15, 426, 12607, 17, 49761, 12, 530, 43145, 58142, 415, 89908, 51890, 45858, 196446, 361, 73737, 26073, 16715, 6149, 105311, 66673, 29, 2127, 103115, 33, 34955, 7608, 1419, 13124, 386, 68484, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 202564, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 47468, 109560, 461, 297, 49, 5678, 530, 233742, 7371, 20, 41847, 2742, 31298, 89908, 45858, 196446, 361, 73737, 26073, 16715, 54451, 14973, 90119, 4731, 73737, 13124, 386, 68484, 17, 6914, 55946, 368, 17395, 461, 45448, 224076, 76291, 361, 41847, 17251, 427, 30214, 87773, 47970, 375, 59, 53, 7371, 20, 15, 15183, 6794, 15, 29590, 121744, 15, 29590, 136734, 15, 2231, 27379, 1013, 224580, 29534, 12427, 375, 207140, 144037, 15, 158809, 60474, 15, 297, 49, 5678, 15, 403, 19816, 21, 12, 530, 229319, 155577, 117062, 375, 55, 61445, 12662, 20, 12, 664, 368, 22557, 461, 89908, 45858, 196446, 361, 73737, 26073, 16715, 54451, 14973, 90119, 17, 127098, 196446, 1620, 101243, 19476, 427, 368, 97821, 529, 234203, 233511, 8007, 12190, 48174, 361, 96306, 73737, 26073, 16715, 5268, 15017, 14973, 90119, 4731, 73737, 13124, 386, 68484, 17, 15722, 101160, 386, 1620, 46791, 1331, 52171, 14747, 32661, 51, 17253, 530, 141061, 52171, 51733, 1024, 35676, 119602, 664, 210036, 30214, 92384, 1485, 119024, 25266, 17, 1004, 368, 5001, 139828, 17253, 15, 19791, 2194, 16004, 57917, 15, 6880, 15289, 30888, 36447, 15, 3121, 6222, 5299, 233742, 7371, 20, 445, 129140, 38, 375, 55, 156865, 19485, 17, 30112, 15, 19087, 29, 415, 17, 40752, 15, 71828, 58226, 29, 404, 17, 84534, 9571, 17, 28, 7696, 15, 426, 12607, 17, 217503, 1013, 297, 49, 5678, 602, 140700, 55, 224076, 76291, 375, 10340, 19485, 17, 602, 156865, 15, 19087, 29, 415, 17, 135382, 15, 71828, 58226, 29, 404, 17, 41375, 11102, 17, 100622, 15, 426, 12607, 17, 100622, 1013, 73737, 51297, 375, 3521, 29, 404, 17, 45366, 15, 71828, 58226, 29, 404, 17, 9114, 4139, 17, 93952, 15, 426, 12607, 17, 196078, 1013, 34177, 1883, 11188, 86783, 529, 375, 22, 106612, 19485, 17, 654, 34177, 15, 19087, 29, 934, 17, 164392, 15, 71828, 58226, 29, 404, 17, 92816, 13470, 17, 136445, 15, 426, 12607, 17, 49761, 12, 530, 43145, 58142, 415, 89908, 51890, 45858, 196446, 361, 73737, 26073, 16715, 6149, 105311, 66673, 29, 2127, 103115, 33, 16111, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 26700, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 47468, 109560, 461, 297, 49, 5678, 530, 233742, 7371, 20, 41847, 2742, 31298, 89908, 45858, 196446, 361, 73737, 26073, 16715, 54451, 14973, 90119, 4731, 73737, 13124, 386, 68484, 17, 6914, 55946, 368, 17395, 461, 45448, 224076, 76291, 361, 41847, 17251, 427, 30214, 87773, 47970, 375, 59, 53, 7371, 20, 15, 15183, 6794, 15, 29590, 121744, 15, 29590, 136734, 15, 2231, 27379, 1013, 224580, 29534, 12427, 375, 207140, 144037, 15, 158809, 60474, 15, 297, 49, 5678, 15, 403, 19816, 21, 12, 530, 229319, 155577, 117062, 375, 55, 61445, 12662, 20, 12, 664, 368, 22557, 461, 89908, 45858, 196446, 361, 73737, 26073, 16715, 54451, 14973, 90119, 17, 127098, 196446, 1620, 101243, 19476, 427, 368, 97821, 529, 234203, 233511, 8007, 12190, 48174, 361, 96306, 73737, 26073, 16715, 5268, 15017, 14973, 90119, 4731, 73737, 13124, 386, 68484, 17, 15722, 101160, 386, 1620, 46791, 1331, 52171, 14747, 32661, 51, 17253, 530, 141061, 52171, 51733, 1024, 35676, 119602, 664, 210036, 30214, 92384, 1485, 119024, 25266, 17, 1004, 368, 5001, 139828, 17253, 15, 19791, 2194, 16004, 57917, 15, 6880, 15289, 30888, 36447, 15, 3121, 6222, 5299, 233742, 7371, 20, 445, 129140, 38, 375, 55, 156865, 19485, 17, 30112, 15, 19087, 29, 415, 17, 40752, 15, 71828, 58226, 29, 404, 17, 84534, 9571, 17, 28, 7696, 15, 426, 12607, 17, 217503, 1013, 297, 49, 5678, 602, 140700, 55, 224076, 76291, 375, 10340, 19485, 17, 602, 156865, 15, 19087, 29, 415, 17, 135382, 15, 71828, 58226, 29, 404, 17, 41375, 11102, 17, 100622, 15, 426, 12607, 17, 100622, 1013, 73737, 51297, 375, 3521, 29, 404, 17, 45366, 15, 71828, 58226, 29, 404, 17, 9114, 4139, 17, 93952, 15, 426, 12607, 17, 196078, 1013, 34177, 1883, 11188, 86783, 529, 375, 22, 106612, 19485, 17, 654, 34177, 15, 19087, 29, 934, 17, 164392, 15, 71828, 58226, 29, 404, 17, 92816, 13470, 17, 136445, 15, 426, 12607, 17, 49761, 12, 530, 43145, 58142, 415, 89908, 51890, 45858, 196446, 361, 73737, 26073, 16715, 6149, 105311, 66673, 29, 2127, 103115, 33, 34955, 7608, 1419, 26073, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 67652, 47369, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 47468, 109560, 461, 297, 49, 5678, 530, 233742, 7371, 20, 41847, 2742, 31298, 89908, 45858, 196446, 361, 73737, 26073, 16715, 54451, 14973, 90119, 4731, 73737, 13124, 386, 68484, 17, 6914, 55946, 368, 17395, 461, 45448, 224076, 76291, 361, 41847, 17251, 427, 30214, 87773, 47970, 375, 59, 53, 7371, 20, 15, 15183, 6794, 15, 29590, 121744, 15, 29590, 136734, 15, 2231, 27379, 1013, 224580, 29534, 12427, 375, 207140, 144037, 15, 158809, 60474, 15, 297, 49, 5678, 15, 403, 19816, 21, 12, 530, 229319, 155577, 117062, 375, 55, 61445, 12662, 20, 12, 664, 368, 22557, 461, 89908, 45858, 196446, 361, 73737, 26073, 16715, 54451, 14973, 90119, 17, 127098, 196446, 1620, 101243, 19476, 427, 368, 97821, 529, 234203, 233511, 8007, 12190, 48174, 361, 96306, 73737, 26073, 16715, 5268, 15017, 14973, 90119, 4731, 73737, 13124, 386, 68484, 17, 15722, 101160, 386, 1620, 46791, 1331, 52171, 14747, 32661, 51, 17253, 530, 141061, 52171, 51733, 1024, 35676, 119602, 664, 210036, 30214, 92384, 1485, 119024, 25266, 17, 1004, 368, 5001, 139828, 17253, 15, 19791, 2194, 16004, 57917, 15, 6880, 15289, 30888, 36447, 15, 3121, 6222, 5299, 233742, 7371, 20, 445, 129140, 38, 375, 55, 156865, 19485, 17, 30112, 15, 19087, 29, 415, 17, 40752, 15, 71828, 58226, 29, 404, 17, 84534, 9571, 17, 28, 7696, 15, 426, 12607, 17, 217503, 1013, 297, 49, 5678, 602, 140700, 55, 224076, 76291, 375, 10340, 19485, 17, 602, 156865, 15, 19087, 29, 415, 17, 135382, 15, 71828, 58226, 29, 404, 17, 41375, 11102, 17, 100622, 15, 426, 12607, 17, 100622, 1013, 73737, 51297, 375, 3521, 29, 404, 17, 45366, 15, 71828, 58226, 29, 404, 17, 9114, 4139, 17, 93952, 15, 426, 12607, 17, 196078, 1013, 34177, 1883, 11188, 86783, 529, 375, 22, 106612, 19485, 17, 654, 34177, 15, 19087, 29, 934, 17, 164392, 15, 71828, 58226, 29, 404, 17, 92816, 13470, 17, 136445, 15, 426, 12607, 17, 49761, 12, 530, 43145, 58142, 415, 89908, 51890, 45858, 196446, 361, 73737, 26073, 16715, 6149, 105311, 66673, 29, 2127, 103115, 33, 34955, 59, 53, 7371, 20, 445, 129140, 190212, 15, 100019, 49, 5678, 602, 140700, 55, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 26445, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 47468, 109560, 461, 297, 49, 5678, 530, 233742, 7371, 20, 41847, 2742, 31298, 89908, 45858, 196446, 361, 73737, 26073, 16715, 54451, 14973, 90119, 4731, 73737, 13124, 386, 68484, 17, 6914, 55946, 368, 17395, 461, 45448, 224076, 76291, 361, 41847, 17251, 427, 30214, 87773, 47970, 375, 59, 53, 7371, 20, 15, 15183, 6794, 15, 29590, 121744, 15, 29590, 136734, 15, 2231, 27379, 1013, 224580, 29534, 12427, 375, 207140, 144037, 15, 158809, 60474, 15, 297, 49, 5678, 15, 403, 19816, 21, 12, 530, 229319, 155577, 117062, 375, 55, 61445, 12662, 20, 12, 664, 368, 22557, 461, 89908, 45858, 196446, 361, 73737, 26073, 16715, 54451, 14973, 90119, 17, 127098, 196446, 1620, 101243, 19476, 427, 368, 97821, 529, 234203, 233511, 8007, 12190, 48174, 361, 96306, 73737, 26073, 16715, 5268, 15017, 14973, 90119, 4731, 73737, 13124, 386, 68484, 17, 15722, 101160, 386, 1620, 46791, 1331, 52171, 14747, 32661, 51, 17253, 530, 141061, 52171, 51733, 1024, 35676, 119602, 664, 210036, 30214, 92384, 1485, 119024, 25266, 17, 1004, 368, 5001, 139828, 17253, 15, 19791, 2194, 16004, 57917, 15, 6880, 15289, 30888, 36447, 15, 3121, 6222, 5299, 233742, 7371, 20, 445, 129140, 38, 375, 55, 156865, 19485, 17, 30112, 15, 19087, 29, 415, 17, 40752, 15, 71828, 58226, 29, 404, 17, 84534, 9571, 17, 28, 7696, 15, 426, 12607, 17, 217503, 1013, 297, 49, 5678, 602, 140700, 55, 224076, 76291, 375, 10340, 19485, 17, 602, 156865, 15, 19087, 29, 415, 17, 135382, 15, 71828, 58226, 29, 404, 17, 41375, 11102, 17, 100622, 15, 426, 12607, 17, 100622, 1013, 73737, 51297, 375, 3521, 29, 404, 17, 45366, 15, 71828, 58226, 29, 404, 17, 9114, 4139, 17, 93952, 15, 426, 12607, 17, 196078, 1013, 34177, 1883, 11188, 86783, 529, 375, 22, 106612, 19485, 17, 654, 34177, 15, 19087, 29, 934, 17, 164392, 15, 71828, 58226, 29, 404, 17, 92816, 13470, 17, 136445, 15, 426, 12607, 17, 49761, 12, 530, 43145, 58142, 415, 89908, 51890, 45858, 196446, 361, 73737, 26073, 16715, 6149, 105311, 66673, 29, 2127, 103115, 33, 16111, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 41846, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 47468, 109560, 461, 297, 49, 5678, 530, 233742, 7371, 20, 41847, 2742, 31298, 89908, 45858, 196446, 361, 73737, 26073, 16715, 54451, 14973, 90119, 4731, 73737, 13124, 386, 68484, 17, 6914, 55946, 368, 17395, 461, 45448, 224076, 76291, 361, 41847, 17251, 427, 30214, 87773, 47970, 375, 59, 53, 7371, 20, 15, 15183, 6794, 15, 29590, 121744, 15, 29590, 136734, 15, 2231, 27379, 1013, 224580, 29534, 12427, 375, 207140, 144037, 15, 158809, 60474, 15, 297, 49, 5678, 15, 403, 19816, 21, 12, 530, 229319, 155577, 117062, 375, 55, 61445, 12662, 20, 12, 664, 368, 22557, 461, 89908, 45858, 196446, 361, 73737, 26073, 16715, 54451, 14973, 90119, 17, 127098, 196446, 1620, 101243, 19476, 427, 368, 97821, 529, 234203, 233511, 8007, 12190, 48174, 361, 96306, 73737, 26073, 16715, 5268, 15017, 14973, 90119, 4731, 73737, 13124, 386, 68484, 17, 15722, 101160, 386, 1620, 46791, 1331, 52171, 14747, 32661, 51, 17253, 530, 141061, 52171, 51733, 1024, 35676, 119602, 664, 210036, 30214, 92384, 1485, 119024, 25266, 17, 1004, 368, 5001, 139828, 17253, 15, 19791, 2194, 16004, 57917, 15, 6880, 15289, 30888, 36447, 15, 3121, 6222, 5299, 233742, 7371, 20, 445, 129140, 38, 375, 55, 156865, 19485, 17, 30112, 15, 19087, 29, 415, 17, 40752, 15, 71828, 58226, 29, 404, 17, 84534, 9571, 17, 28, 7696, 15, 426, 12607, 17, 217503, 1013, 297, 49, 5678, 602, 140700, 55, 224076, 76291, 375, 10340, 19485, 17, 602, 156865, 15, 19087, 29, 415, 17, 135382, 15, 71828, 58226, 29, 404, 17, 41375, 11102, 17, 100622, 15, 426, 12607, 17, 100622, 1013, 73737, 51297, 375, 3521, 29, 404, 17, 45366, 15, 71828, 58226, 29, 404, 17, 9114, 4139, 17, 93952, 15, 426, 12607, 17, 196078, 1013, 34177, 1883, 11188, 86783, 529, 375, 22, 106612, 19485, 17, 654, 34177, 15, 19087, 29, 934, 17, 164392, 15, 71828, 58226, 29, 404, 17, 92816, 13470, 17, 136445, 15, 426, 12607, 17, 49761, 12, 530, 43145, 58142, 415, 89908, 51890, 45858, 196446, 361, 73737, 26073, 16715, 6149, 105311, 66673, 29, 2127, 103115, 33, 34955, 199450, 529, 234203, 233511, 8007, 12190, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 67560, 17253, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 47468, 109560, 461, 297, 49, 5678, 530, 233742, 7371, 20, 41847, 2742, 31298, 89908, 45858, 196446, 361, 73737, 26073, 16715, 54451, 14973, 90119, 4731, 73737, 13124, 386, 68484, 17, 6914, 55946, 368, 17395, 461, 45448, 224076, 76291, 361, 41847, 17251, 427, 30214, 87773, 47970, 375, 59, 53, 7371, 20, 15, 15183, 6794, 15, 29590, 121744, 15, 29590, 136734, 15, 2231, 27379, 1013, 224580, 29534, 12427, 375, 207140, 144037, 15, 158809, 60474, 15, 297, 49, 5678, 15, 403, 19816, 21, 12, 530, 229319, 155577, 117062, 375, 55, 61445, 12662, 20, 12, 664, 368, 22557, 461, 89908, 45858, 196446, 361, 73737, 26073, 16715, 54451, 14973, 90119, 17, 127098, 196446, 1620, 101243, 19476, 427, 368, 97821, 529, 234203, 233511, 8007, 12190, 48174, 361, 96306, 73737, 26073, 16715, 5268, 15017, 14973, 90119, 4731, 73737, 13124, 386, 68484, 17, 15722, 101160, 386, 1620, 46791, 1331, 52171, 14747, 32661, 51, 17253, 530, 141061, 52171, 51733, 1024, 35676, 119602, 664, 210036, 30214, 92384, 1485, 119024, 25266, 17, 1004, 368, 5001, 139828, 17253, 15, 19791, 2194, 16004, 57917, 15, 6880, 15289, 30888, 36447, 15, 3121, 6222, 5299, 233742, 7371, 20, 445, 129140, 38, 375, 55, 156865, 19485, 17, 30112, 15, 19087, 29, 415, 17, 40752, 15, 71828, 58226, 29, 404, 17, 84534, 9571, 17, 28, 7696, 15, 426, 12607, 17, 217503, 1013, 297, 49, 5678, 602, 140700, 55, 224076, 76291, 375, 10340, 19485, 17, 602, 156865, 15, 19087, 29, 415, 17, 135382, 15, 71828, 58226, 29, 404, 17, 41375, 11102, 17, 100622, 15, 426, 12607, 17, 100622, 1013, 73737, 51297, 375, 3521, 29, 404, 17, 45366, 15, 71828, 58226, 29, 404, 17, 9114, 4139, 17, 93952, 15, 426, 12607, 17, 196078, 1013, 34177, 1883, 11188, 86783, 529, 375, 22, 106612, 19485, 17, 654, 34177, 15, 19087, 29, 934, 17, 164392, 15, 71828, 58226, 29, 404, 17, 92816, 13470, 17, 136445, 15, 426, 12607, 17, 49761, 12, 530, 43145, 58142, 415, 89908, 51890, 45858, 196446, 361, 73737, 26073, 16715, 6149, 105311, 66673, 29, 2127, 103115, 33, 34955, 62164, 139828, 17253, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 17044, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 47468, 109560, 461, 297, 49, 5678, 530, 233742, 7371, 20, 41847, 2742, 31298, 89908, 45858, 196446, 361, 73737, 26073, 16715, 54451, 14973, 90119, 4731, 73737, 13124, 386, 68484, 17, 6914, 55946, 368, 17395, 461, 45448, 224076, 76291, 361, 41847, 17251, 427, 30214, 87773, 47970, 375, 59, 53, 7371, 20, 15, 15183, 6794, 15, 29590, 121744, 15, 29590, 136734, 15, 2231, 27379, 1013, 224580, 29534, 12427, 375, 207140, 144037, 15, 158809, 60474, 15, 297, 49, 5678, 15, 403, 19816, 21, 12, 530, 229319, 155577, 117062, 375, 55, 61445, 12662, 20, 12, 664, 368, 22557, 461, 89908, 45858, 196446, 361, 73737, 26073, 16715, 54451, 14973, 90119, 17, 127098, 196446, 1620, 101243, 19476, 427, 368, 97821, 529, 234203, 233511, 8007, 12190, 48174, 361, 96306, 73737, 26073, 16715, 5268, 15017, 14973, 90119, 4731, 73737, 13124, 386, 68484, 17, 15722, 101160, 386, 1620, 46791, 1331, 52171, 14747, 32661, 51, 17253, 530, 141061, 52171, 51733, 1024, 35676, 119602, 664, 210036, 30214, 92384, 1485, 119024, 25266, 17, 1004, 368, 5001, 139828, 17253, 15, 19791, 2194, 16004, 57917, 15, 6880, 15289, 30888, 36447, 15, 3121, 6222, 5299, 233742, 7371, 20, 445, 129140, 38, 375, 55, 156865, 19485, 17, 30112, 15, 19087, 29, 415, 17, 40752, 15, 71828, 58226, 29, 404, 17, 84534, 9571, 17, 28, 7696, 15, 426, 12607, 17, 217503, 1013, 297, 49, 5678, 602, 140700, 55, 224076, 76291, 375, 10340, 19485, 17, 602, 156865, 15, 19087, 29, 415, 17, 135382, 15, 71828, 58226, 29, 404, 17, 41375, 11102, 17, 100622, 15, 426, 12607, 17, 100622, 1013, 73737, 51297, 375, 3521, 29, 404, 17, 45366, 15, 71828, 58226, 29, 404, 17, 9114, 4139, 17, 93952, 15, 426, 12607, 17, 196078, 1013, 34177, 1883, 11188, 86783, 529, 375, 22, 106612, 19485, 17, 654, 34177, 15, 19087, 29, 934, 17, 164392, 15, 71828, 58226, 29, 404, 17, 92816, 13470, 17, 136445, 15, 426, 12607, 17, 49761, 12, 530, 43145, 58142, 415, 89908, 51890, 45858, 196446, 361, 73737, 26073, 16715, 6149, 105311, 66673, 29, 2127, 103115, 33, 34955, 72, 49, 5678, 5, 15, 108104, 53, 7371, 10744, 15, 15905, 51, 6794, 5, 15, 567, 11410, 43, 21255, 15, 567, 11410, 43, 23731, 15, 108104, 27379, 5, 15, 27269, 3625, 51, 10744, 15, 27269, 102396, 10744, 15, 10101, 19816, 21255, 15, 15905, 61445, 25799, 12217, 69, 4093, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 190756, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 47468, 109560, 461, 297, 49, 5678, 530, 233742, 7371, 20, 41847, 2742, 31298, 89908, 45858, 196446, 361, 73737, 26073, 16715, 54451, 14973, 90119, 4731, 73737, 13124, 386, 68484, 17, 6914, 55946, 368, 17395, 461, 45448, 224076, 76291, 361, 41847, 17251, 427, 30214, 87773, 47970, 375, 59, 53, 7371, 20, 15, 15183, 6794, 15, 29590, 121744, 15, 29590, 136734, 15, 2231, 27379, 1013, 224580, 29534, 12427, 375, 207140, 144037, 15, 158809, 60474, 15, 297, 49, 5678, 15, 403, 19816, 21, 12, 530, 229319, 155577, 117062, 375, 55, 61445, 12662, 20, 12, 664, 368, 22557, 461, 89908, 45858, 196446, 361, 73737, 26073, 16715, 54451, 14973, 90119, 17, 127098, 196446, 1620, 101243, 19476, 427, 368, 97821, 529, 234203, 233511, 8007, 12190, 48174, 361, 96306, 73737, 26073, 16715, 5268, 15017, 14973, 90119, 4731, 73737, 13124, 386, 68484, 17, 15722, 101160, 386, 1620, 46791, 1331, 52171, 14747, 32661, 51, 17253, 530, 141061, 52171, 51733, 1024, 35676, 119602, 664, 210036, 30214, 92384, 1485, 119024, 25266, 17, 1004, 368, 5001, 139828, 17253, 15, 19791, 2194, 16004, 57917, 15, 6880, 15289, 30888, 36447, 15, 3121, 6222, 5299, 233742, 7371, 20, 445, 129140, 38, 375, 55, 156865, 19485, 17, 30112, 15, 19087, 29, 415, 17, 40752, 15, 71828, 58226, 29, 404, 17, 84534, 9571, 17, 28, 7696, 15, 426, 12607, 17, 217503, 1013, 297, 49, 5678, 602, 140700, 55, 224076, 76291, 375, 10340, 19485, 17, 602, 156865, 15, 19087, 29, 415, 17, 135382, 15, 71828, 58226, 29, 404, 17, 41375, 11102, 17, 100622, 15, 426, 12607, 17, 100622, 1013, 73737, 51297, 375, 3521, 29, 404, 17, 45366, 15, 71828, 58226, 29, 404, 17, 9114, 4139, 17, 93952, 15, 426, 12607, 17, 196078, 1013, 34177, 1883, 11188, 86783, 529, 375, 22, 106612, 19485, 17, 654, 34177, 15, 19087, 29, 934, 17, 164392, 15, 71828, 58226, 29, 404, 17, 92816, 13470, 17, 136445, 15, 426, 12607, 17, 49761, 12, 530, 43145, 58142, 415, 89908, 51890, 45858, 196446, 361, 73737, 26073, 16715, 6149, 105311, 66673, 29, 2127, 103115, 33, 34955, 224914, 59370, 131052, 15, 155177, 2007, 51890, 45858, 196446, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 25113, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 47468, 109560, 461, 297, 49, 5678, 530, 233742, 7371, 20, 41847, 2742, 31298, 89908, 45858, 196446, 361, 73737, 26073, 16715, 54451, 14973, 90119, 4731, 73737, 13124, 386, 68484, 17, 6914, 55946, 368, 17395, 461, 45448, 224076, 76291, 361, 41847, 17251, 427, 30214, 87773, 47970, 375, 59, 53, 7371, 20, 15, 15183, 6794, 15, 29590, 121744, 15, 29590, 136734, 15, 2231, 27379, 1013, 224580, 29534, 12427, 375, 207140, 144037, 15, 158809, 60474, 15, 297, 49, 5678, 15, 403, 19816, 21, 12, 530, 229319, 155577, 117062, 375, 55, 61445, 12662, 20, 12, 664, 368, 22557, 461, 89908, 45858, 196446, 361, 73737, 26073, 16715, 54451, 14973, 90119, 17, 127098, 196446, 1620, 101243, 19476, 427, 368, 97821, 529, 234203, 233511, 8007, 12190, 48174, 361, 96306, 73737, 26073, 16715, 5268, 15017, 14973, 90119, 4731, 73737, 13124, 386, 68484, 17, 15722, 101160, 386, 1620, 46791, 1331, 52171, 14747, 32661, 51, 17253, 530, 141061, 52171, 51733, 1024, 35676, 119602, 664, 210036, 30214, 92384, 1485, 119024, 25266, 17, 1004, 368, 5001, 139828, 17253, 15, 19791, 2194, 16004, 57917, 15, 6880, 15289, 30888, 36447, 15, 3121, 6222, 5299, 233742, 7371, 20, 445, 129140, 38, 375, 55, 156865, 19485, 17, 30112, 15, 19087, 29, 415, 17, 40752, 15, 71828, 58226, 29, 404, 17, 84534, 9571, 17, 28, 7696, 15, 426, 12607, 17, 217503, 1013, 297, 49, 5678, 602, 140700, 55, 224076, 76291, 375, 10340, 19485, 17, 602, 156865, 15, 19087, 29, 415, 17, 135382, 15, 71828, 58226, 29, 404, 17, 41375, 11102, 17, 100622, 15, 426, 12607, 17, 100622, 1013, 73737, 51297, 375, 3521, 29, 404, 17, 45366, 15, 71828, 58226, 29, 404, 17, 9114, 4139, 17, 93952, 15, 426, 12607, 17, 196078, 1013, 34177, 1883, 11188, 86783, 529, 375, 22, 106612, 19485, 17, 654, 34177, 15, 19087, 29, 934, 17, 164392, 15, 71828, 58226, 29, 404, 17, 92816, 13470, 17, 136445, 15, 426, 12607, 17, 49761, 12, 530, 43145, 58142, 415, 89908, 51890, 45858, 196446, 361, 73737, 26073, 16715, 6149, 105311, 66673, 29, 2127, 103115, 33, 34955, 99460, 14747, 32661, 51, 17253, 5, 15, 214019, 39830, 52171, 51733, 1024, 35676, 119602, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 72621, 4451, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 47468, 109560, 461, 297, 49, 5678, 530, 233742, 7371, 20, 41847, 2742, 31298, 89908, 45858, 196446, 361, 73737, 26073, 16715, 54451, 14973, 90119, 4731, 73737, 13124, 386, 68484, 17, 6914, 55946, 368, 17395, 461, 45448, 224076, 76291, 361, 41847, 17251, 427, 30214, 87773, 47970, 375, 59, 53, 7371, 20, 15, 15183, 6794, 15, 29590, 121744, 15, 29590, 136734, 15, 2231, 27379, 1013, 224580, 29534, 12427, 375, 207140, 144037, 15, 158809, 60474, 15, 297, 49, 5678, 15, 403, 19816, 21, 12, 530, 229319, 155577, 117062, 375, 55, 61445, 12662, 20, 12, 664, 368, 22557, 461, 89908, 45858, 196446, 361, 73737, 26073, 16715, 54451, 14973, 90119, 17, 127098, 196446, 1620, 101243, 19476, 427, 368, 97821, 529, 234203, 233511, 8007, 12190, 48174, 361, 96306, 73737, 26073, 16715, 5268, 15017, 14973, 90119, 4731, 73737, 13124, 386, 68484, 17, 15722, 101160, 386, 1620, 46791, 1331, 52171, 14747, 32661, 51, 17253, 530, 141061, 52171, 51733, 1024, 35676, 119602, 664, 210036, 30214, 92384, 1485, 119024, 25266, 17, 1004, 368, 5001, 139828, 17253, 15, 19791, 2194, 16004, 57917, 15, 6880, 15289, 30888, 36447, 15, 3121, 6222, 5299, 233742, 7371, 20, 445, 129140, 38, 375, 55, 156865, 19485, 17, 30112, 15, 19087, 29, 415, 17, 40752, 15, 71828, 58226, 29, 404, 17, 84534, 9571, 17, 28, 7696, 15, 426, 12607, 17, 217503, 1013, 297, 49, 5678, 602, 140700, 55, 224076, 76291, 375, 10340, 19485, 17, 602, 156865, 15, 19087, 29, 415, 17, 135382, 15, 71828, 58226, 29, 404, 17, 41375, 11102, 17, 100622, 15, 426, 12607, 17, 100622, 1013, 73737, 51297, 375, 3521, 29, 404, 17, 45366, 15, 71828, 58226, 29, 404, 17, 9114, 4139, 17, 93952, 15, 426, 12607, 17, 196078, 1013, 34177, 1883, 11188, 86783, 529, 375, 22, 106612, 19485, 17, 654, 34177, 15, 19087, 29, 934, 17, 164392, 15, 71828, 58226, 29, 404, 17, 92816, 13470, 17, 136445, 15, 426, 12607, 17, 49761, 12, 530, 43145, 58142, 415, 89908, 51890, 45858, 196446, 361, 73737, 26073, 16715, 6149, 105311, 66673, 29, 2127, 103115, 33, 239587, 10507, 87773, 47970, 5, 15, 567, 192257, 2926, 29534, 12427, 5, 15, 28862, 573, 350, 155577, 117062, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 72621, 97063, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 47468, 109560, 461, 297, 49, 5678, 530, 233742, 7371, 20, 41847, 2742, 31298, 89908, 45858, 196446, 361, 73737, 26073, 16715, 54451, 14973, 90119, 4731, 73737, 13124, 386, 68484, 17, 6914, 55946, 368, 17395, 461, 45448, 224076, 76291, 361, 41847, 17251, 427, 30214, 87773, 47970, 375, 59, 53, 7371, 20, 15, 15183, 6794, 15, 29590, 121744, 15, 29590, 136734, 15, 2231, 27379, 1013, 224580, 29534, 12427, 375, 207140, 144037, 15, 158809, 60474, 15, 297, 49, 5678, 15, 403, 19816, 21, 12, 530, 229319, 155577, 117062, 375, 55, 61445, 12662, 20, 12, 664, 368, 22557, 461, 89908, 45858, 196446, 361, 73737, 26073, 16715, 54451, 14973, 90119, 17, 127098, 196446, 1620, 101243, 19476, 427, 368, 97821, 529, 234203, 233511, 8007, 12190, 48174, 361, 96306, 73737, 26073, 16715, 5268, 15017, 14973, 90119, 4731, 73737, 13124, 386, 68484, 17, 15722, 101160, 386, 1620, 46791, 1331, 52171, 14747, 32661, 51, 17253, 530, 141061, 52171, 51733, 1024, 35676, 119602, 664, 210036, 30214, 92384, 1485, 119024, 25266, 17, 1004, 368, 5001, 139828, 17253, 15, 19791, 2194, 16004, 57917, 15, 6880, 15289, 30888, 36447, 15, 3121, 6222, 5299, 233742, 7371, 20, 445, 129140, 38, 375, 55, 156865, 19485, 17, 30112, 15, 19087, 29, 415, 17, 40752, 15, 71828, 58226, 29, 404, 17, 84534, 9571, 17, 28, 7696, 15, 426, 12607, 17, 217503, 1013, 297, 49, 5678, 602, 140700, 55, 224076, 76291, 375, 10340, 19485, 17, 602, 156865, 15, 19087, 29, 415, 17, 135382, 15, 71828, 58226, 29, 404, 17, 41375, 11102, 17, 100622, 15, 426, 12607, 17, 100622, 1013, 73737, 51297, 375, 3521, 29, 404, 17, 45366, 15, 71828, 58226, 29, 404, 17, 9114, 4139, 17, 93952, 15, 426, 12607, 17, 196078, 1013, 34177, 1883, 11188, 86783, 529, 375, 22, 106612, 19485, 17, 654, 34177, 15, 19087, 29, 934, 17, 164392, 15, 71828, 58226, 29, 404, 17, 92816, 13470, 17, 136445, 15, 426, 12607, 17, 49761, 12, 530, 43145, 58142, 415, 89908, 51890, 45858, 196446, 361, 73737, 26073, 16715, 6149, 105311, 66673, 29, 2127, 103115, 33, 34955, 6855, 53971, 30214, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 20501, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 47468, 109560, 461, 297, 49, 5678, 530, 233742, 7371, 20, 41847, 2742, 31298, 89908, 45858, 196446, 361, 73737, 26073, 16715, 54451, 14973, 90119, 4731, 73737, 13124, 386, 68484, 17, 6914, 55946, 368, 17395, 461, 45448, 224076, 76291, 361, 41847, 17251, 427, 30214, 87773, 47970, 375, 59, 53, 7371, 20, 15, 15183, 6794, 15, 29590, 121744, 15, 29590, 136734, 15, 2231, 27379, 1013, 224580, 29534, 12427, 375, 207140, 144037, 15, 158809, 60474, 15, 297, 49, 5678, 15, 403, 19816, 21, 12, 530, 229319, 155577, 117062, 375, 55, 61445, 12662, 20, 12, 664, 368, 22557, 461, 89908, 45858, 196446, 361, 73737, 26073, 16715, 54451, 14973, 90119, 17, 127098, 196446, 1620, 101243, 19476, 427, 368, 97821, 529, 234203, 233511, 8007, 12190, 48174, 361, 96306, 73737, 26073, 16715, 5268, 15017, 14973, 90119, 4731, 73737, 13124, 386, 68484, 17, 15722, 101160, 386, 1620, 46791, 1331, 52171, 14747, 32661, 51, 17253, 530, 141061, 52171, 51733, 1024, 35676, 119602, 664, 210036, 30214, 92384, 1485, 119024, 25266, 17, 1004, 368, 5001, 139828, 17253, 15, 19791, 2194, 16004, 57917, 15, 6880, 15289, 30888, 36447, 15, 3121, 6222, 5299, 233742, 7371, 20, 445, 129140, 38, 375, 55, 156865, 19485, 17, 30112, 15, 19087, 29, 415, 17, 40752, 15, 71828, 58226, 29, 404, 17, 84534, 9571, 17, 28, 7696, 15, 426, 12607, 17, 217503, 1013, 297, 49, 5678, 602, 140700, 55, 224076, 76291, 375, 10340, 19485, 17, 602, 156865, 15, 19087, 29, 415, 17, 135382, 15, 71828, 58226, 29, 404, 17, 41375, 11102, 17, 100622, 15, 426, 12607, 17, 100622, 1013, 73737, 51297, 375, 3521, 29, 404, 17, 45366, 15, 71828, 58226, 29, 404, 17, 9114, 4139, 17, 93952, 15, 426, 12607, 17, 196078, 1013, 34177, 1883, 11188, 86783, 529, 375, 22, 106612, 19485, 17, 654, 34177, 15, 19087, 29, 934, 17, 164392, 15, 71828, 58226, 29, 404, 17, 92816, 13470, 17, 136445, 15, 426, 12607, 17, 49761, 12, 530, 43145, 58142, 415, 89908, 51890, 45858, 196446, 361, 73737, 26073, 16715, 6149, 105311, 66673, 29, 2127, 103115, 33, 34955, 176963, 90119, 5, 15, 567, 65259, 1883, 11188, 86783, 529, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 67652, 10899, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 47468, 109560, 461, 297, 49, 5678, 530, 233742, 7371, 20, 41847, 2742, 31298, 89908, 45858, 196446, 361, 73737, 26073, 16715, 54451, 14973, 90119, 4731, 73737, 13124, 386, 68484, 17, 6914, 55946, 368, 17395, 461, 45448, 224076, 76291, 361, 41847, 17251, 427, 30214, 87773, 47970, 375, 59, 53, 7371, 20, 15, 15183, 6794, 15, 29590, 121744, 15, 29590, 136734, 15, 2231, 27379, 1013, 224580, 29534, 12427, 375, 207140, 144037, 15, 158809, 60474, 15, 297, 49, 5678, 15, 403, 19816, 21, 12, 530, 229319, 155577, 117062, 375, 55, 61445, 12662, 20, 12, 664, 368, 22557, 461, 89908, 45858, 196446, 361, 73737, 26073, 16715, 54451, 14973, 90119, 17, 127098, 196446, 1620, 101243, 19476, 427, 368, 97821, 529, 234203, 233511, 8007, 12190, 48174, 361, 96306, 73737, 26073, 16715, 5268, 15017, 14973, 90119, 4731, 73737, 13124, 386, 68484, 17, 15722, 101160, 386, 1620, 46791, 1331, 52171, 14747, 32661, 51, 17253, 530, 141061, 52171, 51733, 1024, 35676, 119602, 664, 210036, 30214, 92384, 1485, 119024, 25266, 17, 1004, 368, 5001, 139828, 17253, 15, 19791, 2194, 16004, 57917, 15, 6880, 15289, 30888, 36447, 15, 3121, 6222, 5299, 233742, 7371, 20, 445, 129140, 38, 375, 55, 156865, 19485, 17, 30112, 15, 19087, 29, 415, 17, 40752, 15, 71828, 58226, 29, 404, 17, 84534, 9571, 17, 28, 7696, 15, 426, 12607, 17, 217503, 1013, 297, 49, 5678, 602, 140700, 55, 224076, 76291, 375, 10340, 19485, 17, 602, 156865, 15, 19087, 29, 415, 17, 135382, 15, 71828, 58226, 29, 404, 17, 41375, 11102, 17, 100622, 15, 426, 12607, 17, 100622, 1013, 73737, 51297, 375, 3521, 29, 404, 17, 45366, 15, 71828, 58226, 29, 404, 17, 9114, 4139, 17, 93952, 15, 426, 12607, 17, 196078, 1013, 34177, 1883, 11188, 86783, 529, 375, 22, 106612, 19485, 17, 654, 34177, 15, 19087, 29, 934, 17, 164392, 15, 71828, 58226, 29, 404, 17, 92816, 13470, 17, 136445, 15, 426, 12607, 17, 49761, 12, 530, 43145, 58142, 415, 89908, 51890, 45858, 196446, 361, 73737, 26073, 16715, 6149, 105311, 66673, 29, 2127, 103115, 33, 16111, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 72621, 8165, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 47468, 109560, 461, 297, 49, 5678, 530, 233742, 7371, 20, 41847, 2742, 31298, 89908, 45858, 196446, 361, 73737, 26073, 16715, 54451, 14973, 90119, 4731, 73737, 13124, 386, 68484, 17, 6914, 55946, 368, 17395, 461, 45448, 224076, 76291, 361, 41847, 17251, 427, 30214, 87773, 47970, 375, 59, 53, 7371, 20, 15, 15183, 6794, 15, 29590, 121744, 15, 29590, 136734, 15, 2231, 27379, 1013, 224580, 29534, 12427, 375, 207140, 144037, 15, 158809, 60474, 15, 297, 49, 5678, 15, 403, 19816, 21, 12, 530, 229319, 155577, 117062, 375, 55, 61445, 12662, 20, 12, 664, 368, 22557, 461, 89908, 45858, 196446, 361, 73737, 26073, 16715, 54451, 14973, 90119, 17, 127098, 196446, 1620, 101243, 19476, 427, 368, 97821, 529, 234203, 233511, 8007, 12190, 48174, 361, 96306, 73737, 26073, 16715, 5268, 15017, 14973, 90119, 4731, 73737, 13124, 386, 68484, 17, 15722, 101160, 386, 1620, 46791, 1331, 52171, 14747, 32661, 51, 17253, 530, 141061, 52171, 51733, 1024, 35676, 119602, 664, 210036, 30214, 92384, 1485, 119024, 25266, 17, 1004, 368, 5001, 139828, 17253, 15, 19791, 2194, 16004, 57917, 15, 6880, 15289, 30888, 36447, 15, 3121, 6222, 5299, 233742, 7371, 20, 445, 129140, 38, 375, 55, 156865, 19485, 17, 30112, 15, 19087, 29, 415, 17, 40752, 15, 71828, 58226, 29, 404, 17, 84534, 9571, 17, 28, 7696, 15, 426, 12607, 17, 217503, 1013, 297, 49, 5678, 602, 140700, 55, 224076, 76291, 375, 10340, 19485, 17, 602, 156865, 15, 19087, 29, 415, 17, 135382, 15, 71828, 58226, 29, 404, 17, 41375, 11102, 17, 100622, 15, 426, 12607, 17, 100622, 1013, 73737, 51297, 375, 3521, 29, 404, 17, 45366, 15, 71828, 58226, 29, 404, 17, 9114, 4139, 17, 93952, 15, 426, 12607, 17, 196078, 1013, 34177, 1883, 11188, 86783, 529, 375, 22, 106612, 19485, 17, 654, 34177, 15, 19087, 29, 934, 17, 164392, 15, 71828, 58226, 29, 404, 17, 92816, 13470, 17, 136445, 15, 426, 12607, 17, 49761, 12, 530, 43145, 58142, 415, 89908, 51890, 45858, 196446, 361, 73737, 26073, 16715, 6149, 105311, 66673, 29, 2127, 103115, 33, 34955, 1297, 39778, 285, 25266, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 83076, 2376, 12350, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 47468, 109560, 461, 297, 49, 5678, 530, 233742, 7371, 20, 41847, 2742, 31298, 89908, 45858, 196446, 361, 73737, 26073, 16715, 54451, 14973, 90119, 4731, 73737, 13124, 386, 68484, 17, 6914, 55946, 368, 17395, 461, 45448, 224076, 76291, 361, 41847, 17251, 427, 30214, 87773, 47970, 375, 59, 53, 7371, 20, 15, 15183, 6794, 15, 29590, 121744, 15, 29590, 136734, 15, 2231, 27379, 1013, 224580, 29534, 12427, 375, 207140, 144037, 15, 158809, 60474, 15, 297, 49, 5678, 15, 403, 19816, 21, 12, 530, 229319, 155577, 117062, 375, 55, 61445, 12662, 20, 12, 664, 368, 22557, 461, 89908, 45858, 196446, 361, 73737, 26073, 16715, 54451, 14973, 90119, 17, 127098, 196446, 1620, 101243, 19476, 427, 368, 97821, 529, 234203, 233511, 8007, 12190, 48174, 361, 96306, 73737, 26073, 16715, 5268, 15017, 14973, 90119, 4731, 73737, 13124, 386, 68484, 17, 15722, 101160, 386, 1620, 46791, 1331, 52171, 14747, 32661, 51, 17253, 530, 141061, 52171, 51733, 1024, 35676, 119602, 664, 210036, 30214, 92384, 1485, 119024, 25266, 17, 1004, 368, 5001, 139828, 17253, 15, 19791, 2194, 16004, 57917, 15, 6880, 15289, 30888, 36447, 15, 3121, 6222, 5299, 233742, 7371, 20, 445, 129140, 38, 375, 55, 156865, 19485, 17, 30112, 15, 19087, 29, 415, 17, 40752, 15, 71828, 58226, 29, 404, 17, 84534, 9571, 17, 28, 7696, 15, 426, 12607, 17, 217503, 1013, 297, 49, 5678, 602, 140700, 55, 224076, 76291, 375, 10340, 19485, 17, 602, 156865, 15, 19087, 29, 415, 17, 135382, 15, 71828, 58226, 29, 404, 17, 41375, 11102, 17, 100622, 15, 426, 12607, 17, 100622, 1013, 73737, 51297, 375, 3521, 29, 404, 17, 45366, 15, 71828, 58226, 29, 404, 17, 9114, 4139, 17, 93952, 15, 426, 12607, 17, 196078, 1013, 34177, 1883, 11188, 86783, 529, 375, 22, 106612, 19485, 17, 654, 34177, 15, 19087, 29, 934, 17, 164392, 15, 71828, 58226, 29, 404, 17, 92816, 13470, 17, 136445, 15, 426, 12607, 17, 49761, 12, 530, 43145, 58142, 415, 89908, 51890, 45858, 196446, 361, 73737, 26073, 16715, 6149, 105311, 66673, 29, 2127, 103115, 33, 34955, 7608, 1419, 51297, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 13692, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 267, 73249, 34, 75988, 189, 10560, 632, 53218, 103974, 153236, 461, 267, 103511, 361, 183656, 34, 15651, 2559, 189, 7572, 7112, 164462, 14366, 1306, 2782, 361, 2738, 18009, 461, 267, 11126, 951, 34, 4169, 462, 189, 10560, 632, 144302, 153236, 461, 267, 3488, 160324, 361, 16525, 2789, 86, 34, 11502, 2559, 189, 10560, 632, 2592, 238769, 461, 267, 34150, 361, 3488, 7081, 14366, 34, 4358, 189, 10560, 632, 8603, 5175, 38132, 461, 267, 3488, 96853, 361, 111257, 34, 735, 189, 60565, 74487, 17, 2035, 6491, 90951, 427, 24547, 17, 4281, 64456, 17, 65076, 189, 10560, 632, 10491, 18009, 461, 267, 3488, 82506, 361, 169619, 11022, 34, 1231, 20162, 189, 7572, 7112, 90951, 1306, 2782, 361, 1392, 17, 5597, 2057, 4093, 8621, 34, 931, 17, 103121, 2057, 4093, 189, 10560, 632, 973, 19844, 461, 267, 29618, 361, 3488, 381, 11022, 34, 140865, 189, 7572, 7112, 149731, 11022, 1306, 2782, 361, 973, 19844, 461, 267, 73249, 34, 1231, 120220, 189, 10560, 632, 3024, 19844, 461, 267, 193633, 361, 3488, 132111, 561, 34, 2738, 4963, 189, 60565, 2475, 172393, 17, 23, 85929, 3611, 427, 15226, 17, 931, 17, 141125, 4612, 3358, 53465, 189, 10560, 632, 11844, 4695, 5725, 17, 27, 80, 361, 182731, 34, 176166, 17, 4854, 7697, 189, 7572, 7112, 183656, 1306, 2782, 361, 13171, 3919, 17, 85929, 3488, 7081, 14366, 34, 934, 17, 145293, 85929, 189, 7572, 7112, 90951, 1306, 2782, 361, 186694, 4695, 17, 3919, 8621, 34, 16731, 5019, 17, 145293, 189, 10560, 632, 4238, 18009, 461, 267, 169619, 3871, 361, 30835, 158273, 34, 934, 1176, 189, 7572, 7112, 3488, 132111, 561, 1306, 2782, 361, 19465, 176966, 86, 461, 267, 193633, 34, 140865, 189, 60565, 1581, 6348, 1630, 17, 21, 30835, 158273, 427, 3488, 381, 11022, 17, 931, 17, 1416, 6348, 49892, 189, 7572, 7112, 183656, 1306, 2782, 361, 144150, 1176, 17, 24, 16525, 2789, 86, 34, 931, 17, 116818, 24976, 189, 10560, 632, 1392, 5171, 461, 267, 11126, 951, 361, 164462, 14366, 34, 189239, 189, 10560, 632, 8215, 4920, 208674, 153236, 461, 267, 3488, 160324, 361, 16525, 2789, 86, 34, 29321, 2559, 189, 60565, 1581, 17, 6348, 151779, 61396, 427, 169619, 11022, 17, 931, 17, 49761, 6348, 151779, 189, 10560, 632, 931, 17, 12985, 4297, 45224, 43762, 74796, 361, 32798, 34, 931, 17, 104453, 241788, 45224, 189, 10560, 632, 82789, 162619, 79524, 86, 461, 267, 34150, 361, 3488, 7081, 14366, 34, 1581, 16539, 189, 7572, 7112, 32798, 1306, 2782, 361, 8215, 15325, 86, 461, 267, 28095, 7076, 105311, 66673, 29, 2127, 103115, 33, 34955, 101117, 45342, 5, 15, 567, 2789, 9409, 15, 38638, 354, 45342, 9409, 15, 567, 2656, 951, 5, 15, 13209, 772, 7081, 150751, 15, 13209, 322, 164280, 9409, 15, 567, 2789, 5, 15, 13209, 772, 160324, 9409, 15, 13209, 772, 96853, 5, 15, 567, 5456, 52340, 5, 15, 228449, 208358, 15, 567, 48184, 9409, 15, 13209, 772, 82506, 5, 15, 13209, 322, 4332, 11022, 5, 15, 567, 5456, 381, 11022, 5, 15, 40376, 52039, 5, 15, 13209, 772, 132111, 561, 5, 15, 567, 3611, 5, 15, 38638, 354, 8312, 74858, 15, 28952, 256, 8312, 74858, 15, 13209, 322, 4332, 3871, 5, 15, 12061, 15125, 9409, 15, 29290, 610, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 83076, 2376, 12350, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 60257, 731, 6, 54, 53681, 96, 189, 97914, 603, 12000, 514, 266, 411, 133011, 461, 368, 5103, 8128, 10082, 375, 93468, 43, 12, 19870, 1002, 37726, 55321, 17944, 17154, 4812, 26540, 9776, 115702, 38, 3565, 53681, 64, 632, 267, 74261, 72046, 4128, 26700, 11594, 427, 202404, 461, 54809, 861, 50424, 368, 42762, 461, 58331, 530, 208749, 427, 5103, 8128, 10082, 17, 49262, 368, 8010, 14354, 90951, 15, 20257, 210022, 35553, 70930, 214069, 4531, 2926, 21311, 1542, 3784, 4853, 427, 27572, 368, 86891, 461, 25088, 234245, 15, 115702, 38, 3565, 141125, 64, 15, 115702, 38, 3565, 1874, 15970, 2131, 13756, 24968, 49518, 12839, 15, 5103, 8128, 86699, 479, 42980, 15, 4076, 83855, 17930, 48408, 129917, 386, 375, 49, 62927, 42, 1013, 115376, 6242, 48408, 129917, 386, 375, 62927, 42, 12, 530, 9436, 25646, 20501, 17, 1111, 35, 38, 3565, 1874, 21997, 15, 115702, 38, 3565, 1874, 25548, 603, 82423, 24968, 49518, 12839, 1400, 27497, 368, 87771, 82597, 1188, 212788, 36873, 1485, 13029, 21230, 530, 102772, 529, 461, 13953, 11594, 427, 368, 95315, 3860, 133011, 530, 13842, 46462, 58467, 56988, 23242, 361, 318, 13553, 1002, 46462, 58467, 15, 32516, 126482, 15, 1165, 237286, 3860, 133011, 15, 115702, 38, 3565, 1874, 29135, 654, 32034, 56988, 4984, 722, 6222, 3262, 368, 5103, 8128, 10082, 184592, 17, 1004, 18464, 15, 24968, 49518, 12839, 1400, 722, 361, 38836, 1002, 6506, 75535, 212967, 15, 48408, 29226, 6736, 15, 153500, 2349, 32597, 15, 530, 9436, 20501, 17, 12298, 15, 2782, 1306, 8348, 70179, 664, 368, 9649, 461, 368, 21311, 5299, 43519, 530, 27232, 48383, 13368, 17, 1111, 35, 38, 3565, 1874, 21997, 84067, 8128, 86699, 479, 42980, 27414, 168587, 530, 5869, 83, 1859, 86891, 1331, 34071, 368, 3860, 350, 979, 15661, 1485, 24324, 55078, 16834, 10583, 530, 17082, 185151, 9649, 6149, 105311, 66673, 29, 2127, 103115, 33, 34955, 7377, 9409, 15, 567, 34331, 55078, 16834, 10583, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 34108, 20501, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 60257, 731, 6, 54, 53681, 96, 189, 97914, 603, 12000, 514, 266, 411, 133011, 461, 368, 5103, 8128, 10082, 375, 93468, 43, 12, 19870, 1002, 37726, 55321, 17944, 17154, 4812, 26540, 9776, 115702, 38, 3565, 53681, 64, 632, 267, 74261, 72046, 4128, 26700, 11594, 427, 202404, 461, 54809, 861, 50424, 368, 42762, 461, 58331, 530, 208749, 427, 5103, 8128, 10082, 17, 49262, 368, 8010, 14354, 90951, 15, 20257, 210022, 35553, 70930, 214069, 4531, 2926, 21311, 1542, 3784, 4853, 427, 27572, 368, 86891, 461, 25088, 234245, 15, 115702, 38, 3565, 141125, 64, 15, 115702, 38, 3565, 1874, 15970, 2131, 13756, 24968, 49518, 12839, 15, 5103, 8128, 86699, 479, 42980, 15, 4076, 83855, 17930, 48408, 129917, 386, 375, 49, 62927, 42, 1013, 115376, 6242, 48408, 129917, 386, 375, 62927, 42, 12, 530, 9436, 25646, 20501, 17, 1111, 35, 38, 3565, 1874, 21997, 15, 115702, 38, 3565, 1874, 25548, 603, 82423, 24968, 49518, 12839, 1400, 27497, 368, 87771, 82597, 1188, 212788, 36873, 1485, 13029, 21230, 530, 102772, 529, 461, 13953, 11594, 427, 368, 95315, 3860, 133011, 530, 13842, 46462, 58467, 56988, 23242, 361, 318, 13553, 1002, 46462, 58467, 15, 32516, 126482, 15, 1165, 237286, 3860, 133011, 15, 115702, 38, 3565, 1874, 29135, 654, 32034, 56988, 4984, 722, 6222, 3262, 368, 5103, 8128, 10082, 184592, 17, 1004, 18464, 15, 24968, 49518, 12839, 1400, 722, 361, 38836, 1002, 6506, 75535, 212967, 15, 48408, 29226, 6736, 15, 153500, 2349, 32597, 15, 530, 9436, 20501, 17, 12298, 15, 2782, 1306, 8348, 70179, 664, 368, 9649, 461, 368, 21311, 5299, 43519, 530, 27232, 48383, 13368, 17, 1111, 35, 38, 3565, 1874, 21997, 84067, 8128, 86699, 479, 42980, 27414, 168587, 530, 5869, 83, 1859, 86891, 1331, 34071, 368, 3860, 350, 979, 15661, 1485, 24324, 55078, 16834, 10583, 530, 17082, 185151, 9649, 6149, 105311, 66673, 29, 2127, 103115, 33, 34955, 37169, 70930, 214069, 4531, 2926, 21311, 5, 15, 567, 15214, 49518, 12839, 5, 15, 28862, 348, 8128, 86699, 479, 42980, 5, 15, 567, 25490, 83855, 17930, 48408, 129917, 37287, 15, 567, 83855, 6242, 48408, 129917, 37287, 15, 17915, 905, 25646, 20501, 5, 15, 567, 13342, 75535, 21880, 9409, 15, 16554, 1738, 29226, 6736, 5, 15, 567, 73712, 2349, 32597, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 34108, 13702, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 60257, 731, 6, 54, 53681, 96, 189, 97914, 603, 12000, 514, 266, 411, 133011, 461, 368, 5103, 8128, 10082, 375, 93468, 43, 12, 19870, 1002, 37726, 55321, 17944, 17154, 4812, 26540, 9776, 115702, 38, 3565, 53681, 64, 632, 267, 74261, 72046, 4128, 26700, 11594, 427, 202404, 461, 54809, 861, 50424, 368, 42762, 461, 58331, 530, 208749, 427, 5103, 8128, 10082, 17, 49262, 368, 8010, 14354, 90951, 15, 20257, 210022, 35553, 70930, 214069, 4531, 2926, 21311, 1542, 3784, 4853, 427, 27572, 368, 86891, 461, 25088, 234245, 15, 115702, 38, 3565, 141125, 64, 15, 115702, 38, 3565, 1874, 15970, 2131, 13756, 24968, 49518, 12839, 15, 5103, 8128, 86699, 479, 42980, 15, 4076, 83855, 17930, 48408, 129917, 386, 375, 49, 62927, 42, 1013, 115376, 6242, 48408, 129917, 386, 375, 62927, 42, 12, 530, 9436, 25646, 20501, 17, 1111, 35, 38, 3565, 1874, 21997, 15, 115702, 38, 3565, 1874, 25548, 603, 82423, 24968, 49518, 12839, 1400, 27497, 368, 87771, 82597, 1188, 212788, 36873, 1485, 13029, 21230, 530, 102772, 529, 461, 13953, 11594, 427, 368, 95315, 3860, 133011, 530, 13842, 46462, 58467, 56988, 23242, 361, 318, 13553, 1002, 46462, 58467, 15, 32516, 126482, 15, 1165, 237286, 3860, 133011, 15, 115702, 38, 3565, 1874, 29135, 654, 32034, 56988, 4984, 722, 6222, 3262, 368, 5103, 8128, 10082, 184592, 17, 1004, 18464, 15, 24968, 49518, 12839, 1400, 722, 361, 38836, 1002, 6506, 75535, 212967, 15, 48408, 29226, 6736, 15, 153500, 2349, 32597, 15, 530, 9436, 20501, 17, 12298, 15, 2782, 1306, 8348, 70179, 664, 368, 9649, 461, 368, 21311, 5299, 43519, 530, 27232, 48383, 13368, 17, 1111, 35, 38, 3565, 1874, 21997, 84067, 8128, 86699, 479, 42980, 27414, 168587, 530, 5869, 83, 1859, 86891, 1331, 34071, 368, 3860, 350, 979, 15661, 1485, 24324, 55078, 16834, 10583, 530, 17082, 185151, 9649, 6149, 105311, 66673, 29, 2127, 103115, 33, 34955, 12000, 514, 266, 411, 133011, 461, 368, 5103, 8128, 10082, 5, 15, 79737, 99802, 55321, 5, 15, 17915, 656, 4812, 562, 16896, 9409, 15, 20587, 2277, 1310, 5, 15, 17915, 396, 2464, 74763, 15, 567, 98841, 6855, 5, 15, 28952, 123237, 1987, 5, 15, 52263, 1900, 82597, 1188, 212788, 5, 15, 12061, 90, 21230, 5, 15, 28952, 411, 2349, 76102, 15, 12061, 6767, 1309, 58467, 56988, 5, 15, 143566, 237286, 3860, 2349, 76102, 15, 240860, 28213, 5, 15, 28862, 32775, 1242, 2600, 198568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 4994, 25041, 67309, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 1629, 29, 603, 85318, 12879, 25044, 13869, 613, 26002, 58344, 49820, 28379, 603, 44, 3276, 3269, 427, 20296, 58344, 49820, 28379, 17, 1387, 3804, 12484, 861, 473, 1400, 5801, 861, 15726, 427, 727, 58344, 49820, 28379, 632, 1119, 12484, 23581, 2310, 461, 58344, 5, 1331, 9314, 2932, 1776, 375, 20071, 15726, 56980, 12, 29, 189, 15637, 17, 201365, 17, 6312, 2175, 2310, 16, 165022, 7122, 12717, 259, 7122, 48670, 16275, 83, 3381, 4612, 6495, 87305, 4969, 189, 56079, 19781, 31950, 2782, 3390, 38695, 861, 727, 58344, 49820, 28379, 375, 392, 236953, 727, 1130, 27462, 9740, 25206, 461, 58344, 27090, 473, 21266, 3804, 660, 209585, 2310, 4076, 11841, 66497, 1188, 11983, 9487, 567, 85318, 12879, 530, 110443, 5, 861, 632, 82771, 613, 165132, 919, 2670, 62796, 17, 473, 4472, 17253, 17, 473, 4472, 3331, 18914, 25044, 17, 473, 4979, 427, 43444, 368, 12484, 18914, 25044, 1331, 13639, 4879, 2131, 1809, 267, 56596, 664, 37540, 25044, 375, 10203, 23498, 3676, 30645, 581, 5132, 718, 1216, 79032, 26919, 5673, 473, 43444, 368, 12484, 18914, 25044, 1331, 13639, 4879, 15, 2152, 2670, 17265, 361, 37540, 25044, 722, 33180, 427, 20296, 368, 12484, 23581, 2310, 461, 110443, 5, 1331, 9314, 2932, 1776, 2040, 59283, 1152, 267, 10454, 17, 105901, 603, 7690, 1152, 4472, 17253, 11762, 18914, 25044, 15, 1152, 3403, 722, 11045, 427, 6223, 9314, 2932, 1776, 17, 473, 5926, 84342, 861, 20242, 861, 4936, 18914, 25044, 361, 718, 17, 5568, 727, 3423, 427, 4472, 4143, 427, 11602, 93092, 25515, 17, 10912, 29, 6782, 11582, 386, 283, 42, 19341, 2116, 9314, 2932, 1776, 632, 3595, 473, 3866, 361, 19142, 3262, 473, 39898, 368, 12300, 9468, 17, 67080, 26402, 3519, 3172, 10494, 17, 15082, 31163, 12312, 6149, 105311, 66673, 29, 2127, 103115, 33, 16111, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 72621, 8165, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 1629, 29, 603, 85318, 12879, 25044, 13869, 613, 26002, 58344, 49820, 28379, 603, 44, 3276, 3269, 427, 20296, 58344, 49820, 28379, 17, 1387, 3804, 12484, 861, 473, 1400, 5801, 861, 15726, 427, 727, 58344, 49820, 28379, 632, 1119, 12484, 23581, 2310, 461, 58344, 5, 1331, 9314, 2932, 1776, 375, 20071, 15726, 56980, 12, 29, 189, 15637, 17, 201365, 17, 6312, 2175, 2310, 16, 165022, 7122, 12717, 259, 7122, 48670, 16275, 83, 3381, 4612, 6495, 87305, 4969, 189, 56079, 19781, 31950, 2782, 3390, 38695, 861, 727, 58344, 49820, 28379, 375, 392, 236953, 727, 1130, 27462, 9740, 25206, 461, 58344, 27090, 473, 21266, 3804, 660, 209585, 2310, 4076, 11841, 66497, 1188, 11983, 9487, 567, 85318, 12879, 530, 110443, 5, 861, 632, 82771, 613, 165132, 919, 2670, 62796, 17, 473, 4472, 17253, 17, 473, 4472, 3331, 18914, 25044, 17, 473, 4979, 427, 43444, 368, 12484, 18914, 25044, 1331, 13639, 4879, 2131, 1809, 267, 56596, 664, 37540, 25044, 375, 10203, 23498, 3676, 30645, 581, 5132, 718, 1216, 79032, 26919, 5673, 473, 43444, 368, 12484, 18914, 25044, 1331, 13639, 4879, 15, 2152, 2670, 17265, 361, 37540, 25044, 722, 33180, 427, 20296, 368, 12484, 23581, 2310, 461, 110443, 5, 1331, 9314, 2932, 1776, 2040, 59283, 1152, 267, 10454, 17, 105901, 603, 7690, 1152, 4472, 17253, 11762, 18914, 25044, 15, 1152, 3403, 722, 11045, 427, 6223, 9314, 2932, 1776, 17, 473, 5926, 84342, 861, 20242, 861, 4936, 18914, 25044, 361, 718, 17, 5568, 727, 3423, 427, 4472, 4143, 427, 11602, 93092, 25515, 17, 10912, 29, 6782, 11582, 386, 283, 42, 19341, 2116, 9314, 2932, 1776, 632, 3595, 473, 3866, 361, 19142, 3262, 473, 39898, 368, 12300, 9468, 17, 67080, 26402, 3519, 3172, 10494, 17, 15082, 31163, 12312, 6149, 105311, 66673, 29, 2127, 103115, 33, 16111, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 12484, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 1629, 29, 603, 85318, 12879, 25044, 13869, 613, 26002, 58344, 49820, 28379, 603, 44, 3276, 3269, 427, 20296, 58344, 49820, 28379, 17, 1387, 3804, 12484, 861, 473, 1400, 5801, 861, 15726, 427, 727, 58344, 49820, 28379, 632, 1119, 12484, 23581, 2310, 461, 58344, 5, 1331, 9314, 2932, 1776, 375, 20071, 15726, 56980, 12, 29, 189, 15637, 17, 201365, 17, 6312, 2175, 2310, 16, 165022, 7122, 12717, 259, 7122, 48670, 16275, 83, 3381, 4612, 6495, 87305, 4969, 189, 56079, 19781, 31950, 2782, 3390, 38695, 861, 727, 58344, 49820, 28379, 375, 392, 236953, 727, 1130, 27462, 9740, 25206, 461, 58344, 27090, 473, 21266, 3804, 660, 209585, 2310, 4076, 11841, 66497, 1188, 11983, 9487, 567, 85318, 12879, 530, 110443, 5, 861, 632, 82771, 613, 165132, 919, 2670, 62796, 17, 473, 4472, 17253, 17, 473, 4472, 3331, 18914, 25044, 17, 473, 4979, 427, 43444, 368, 12484, 18914, 25044, 1331, 13639, 4879, 2131, 1809, 267, 56596, 664, 37540, 25044, 375, 10203, 23498, 3676, 30645, 581, 5132, 718, 1216, 79032, 26919, 5673, 473, 43444, 368, 12484, 18914, 25044, 1331, 13639, 4879, 15, 2152, 2670, 17265, 361, 37540, 25044, 722, 33180, 427, 20296, 368, 12484, 23581, 2310, 461, 110443, 5, 1331, 9314, 2932, 1776, 2040, 59283, 1152, 267, 10454, 17, 105901, 603, 7690, 1152, 4472, 17253, 11762, 18914, 25044, 15, 1152, 3403, 722, 11045, 427, 6223, 9314, 2932, 1776, 17, 473, 5926, 84342, 861, 20242, 861, 4936, 18914, 25044, 361, 718, 17, 5568, 727, 3423, 427, 4472, 4143, 427, 11602, 93092, 25515, 17, 10912, 29, 6782, 11582, 386, 283, 42, 19341, 2116, 9314, 2932, 1776, 632, 3595, 473, 3866, 361, 19142, 3262, 473, 39898, 368, 12300, 9468, 17, 67080, 26402, 3519, 3172, 10494, 17, 15082, 31163, 12312, 6149, 105311, 66673, 29, 2127, 103115, 33, 34955, 2175, 2310, 461, 58344, 5, 15, 50397, 42, 19341, 2116, 9314, 2932, 1776, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 2298, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 1629, 29, 603, 85318, 12879, 25044, 13869, 613, 26002, 58344, 49820, 28379, 603, 44, 3276, 3269, 427, 20296, 58344, 49820, 28379, 17, 1387, 3804, 12484, 861, 473, 1400, 5801, 861, 15726, 427, 727, 58344, 49820, 28379, 632, 1119, 12484, 23581, 2310, 461, 58344, 5, 1331, 9314, 2932, 1776, 375, 20071, 15726, 56980, 12, 29, 189, 15637, 17, 201365, 17, 6312, 2175, 2310, 16, 165022, 7122, 12717, 259, 7122, 48670, 16275, 83, 3381, 4612, 6495, 87305, 4969, 189, 56079, 19781, 31950, 2782, 3390, 38695, 861, 727, 58344, 49820, 28379, 375, 392, 236953, 727, 1130, 27462, 9740, 25206, 461, 58344, 27090, 473, 21266, 3804, 660, 209585, 2310, 4076, 11841, 66497, 1188, 11983, 9487, 567, 85318, 12879, 530, 110443, 5, 861, 632, 82771, 613, 165132, 919, 2670, 62796, 17, 473, 4472, 17253, 17, 473, 4472, 3331, 18914, 25044, 17, 473, 4979, 427, 43444, 368, 12484, 18914, 25044, 1331, 13639, 4879, 2131, 1809, 267, 56596, 664, 37540, 25044, 375, 10203, 23498, 3676, 30645, 581, 5132, 718, 1216, 79032, 26919, 5673, 473, 43444, 368, 12484, 18914, 25044, 1331, 13639, 4879, 15, 2152, 2670, 17265, 361, 37540, 25044, 722, 33180, 427, 20296, 368, 12484, 23581, 2310, 461, 110443, 5, 1331, 9314, 2932, 1776, 2040, 59283, 1152, 267, 10454, 17, 105901, 603, 7690, 1152, 4472, 17253, 11762, 18914, 25044, 15, 1152, 3403, 722, 11045, 427, 6223, 9314, 2932, 1776, 17, 473, 5926, 84342, 861, 20242, 861, 4936, 18914, 25044, 361, 718, 17, 5568, 727, 3423, 427, 4472, 4143, 427, 11602, 93092, 25515, 17, 10912, 29, 6782, 11582, 386, 283, 42, 19341, 2116, 9314, 2932, 1776, 632, 3595, 473, 3866, 361, 19142, 3262, 473, 39898, 368, 12300, 9468, 17, 67080, 26402, 3519, 3172, 10494, 17, 15082, 31163, 12312, 6149, 105311, 66673, 29, 2127, 103115, 33, 16111, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 14827, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 1629, 29, 603, 85318, 12879, 25044, 13869, 613, 26002, 58344, 49820, 28379, 603, 44, 3276, 3269, 427, 20296, 58344, 49820, 28379, 17, 1387, 3804, 12484, 861, 473, 1400, 5801, 861, 15726, 427, 727, 58344, 49820, 28379, 632, 1119, 12484, 23581, 2310, 461, 58344, 5, 1331, 9314, 2932, 1776, 375, 20071, 15726, 56980, 12, 29, 189, 15637, 17, 201365, 17, 6312, 2175, 2310, 16, 165022, 7122, 12717, 259, 7122, 48670, 16275, 83, 3381, 4612, 6495, 87305, 4969, 189, 56079, 19781, 31950, 2782, 3390, 38695, 861, 727, 58344, 49820, 28379, 375, 392, 236953, 727, 1130, 27462, 9740, 25206, 461, 58344, 27090, 473, 21266, 3804, 660, 209585, 2310, 4076, 11841, 66497, 1188, 11983, 9487, 567, 85318, 12879, 530, 110443, 5, 861, 632, 82771, 613, 165132, 919, 2670, 62796, 17, 473, 4472, 17253, 17, 473, 4472, 3331, 18914, 25044, 17, 473, 4979, 427, 43444, 368, 12484, 18914, 25044, 1331, 13639, 4879, 2131, 1809, 267, 56596, 664, 37540, 25044, 375, 10203, 23498, 3676, 30645, 581, 5132, 718, 1216, 79032, 26919, 5673, 473, 43444, 368, 12484, 18914, 25044, 1331, 13639, 4879, 15, 2152, 2670, 17265, 361, 37540, 25044, 722, 33180, 427, 20296, 368, 12484, 23581, 2310, 461, 110443, 5, 1331, 9314, 2932, 1776, 2040, 59283, 1152, 267, 10454, 17, 105901, 603, 7690, 1152, 4472, 17253, 11762, 18914, 25044, 15, 1152, 3403, 722, 11045, 427, 6223, 9314, 2932, 1776, 17, 473, 5926, 84342, 861, 20242, 861, 4936, 18914, 25044, 361, 718, 17, 5568, 727, 3423, 427, 4472, 4143, 427, 11602, 93092, 25515, 17, 10912, 29, 6782, 11582, 386, 283, 42, 19341, 2116, 9314, 2932, 1776, 632, 3595, 473, 3866, 361, 19142, 3262, 473, 39898, 368, 12300, 9468, 17, 67080, 26402, 3519, 3172, 10494, 17, 15082, 31163, 12312, 6149, 105311, 66673, 29, 2127, 103115, 33, 34955, 85318, 12879, 25044, 5, 15, 567, 235079, 5, 15, 567, 128191, 25044, 5, 15, 567, 147466, 5, 15, 567, 7457, 66985, 25515, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 13710, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 1629, 29, 603, 85318, 12879, 25044, 13869, 613, 26002, 58344, 49820, 28379, 603, 44, 3276, 3269, 427, 20296, 58344, 49820, 28379, 17, 1387, 3804, 12484, 861, 473, 1400, 5801, 861, 15726, 427, 727, 58344, 49820, 28379, 632, 1119, 12484, 23581, 2310, 461, 58344, 5, 1331, 9314, 2932, 1776, 375, 20071, 15726, 56980, 12, 29, 189, 15637, 17, 201365, 17, 6312, 2175, 2310, 16, 165022, 7122, 12717, 259, 7122, 48670, 16275, 83, 3381, 4612, 6495, 87305, 4969, 189, 56079, 19781, 31950, 2782, 3390, 38695, 861, 727, 58344, 49820, 28379, 375, 392, 236953, 727, 1130, 27462, 9740, 25206, 461, 58344, 27090, 473, 21266, 3804, 660, 209585, 2310, 4076, 11841, 66497, 1188, 11983, 9487, 567, 85318, 12879, 530, 110443, 5, 861, 632, 82771, 613, 165132, 919, 2670, 62796, 17, 473, 4472, 17253, 17, 473, 4472, 3331, 18914, 25044, 17, 473, 4979, 427, 43444, 368, 12484, 18914, 25044, 1331, 13639, 4879, 2131, 1809, 267, 56596, 664, 37540, 25044, 375, 10203, 23498, 3676, 30645, 581, 5132, 718, 1216, 79032, 26919, 5673, 473, 43444, 368, 12484, 18914, 25044, 1331, 13639, 4879, 15, 2152, 2670, 17265, 361, 37540, 25044, 722, 33180, 427, 20296, 368, 12484, 23581, 2310, 461, 110443, 5, 1331, 9314, 2932, 1776, 2040, 59283, 1152, 267, 10454, 17, 105901, 603, 7690, 1152, 4472, 17253, 11762, 18914, 25044, 15, 1152, 3403, 722, 11045, 427, 6223, 9314, 2932, 1776, 17, 473, 5926, 84342, 861, 20242, 861, 4936, 18914, 25044, 361, 718, 17, 5568, 727, 3423, 427, 4472, 4143, 427, 11602, 93092, 25515, 17, 10912, 29, 6782, 11582, 386, 283, 42, 19341, 2116, 9314, 2932, 1776, 632, 3595, 473, 3866, 361, 19142, 3262, 473, 39898, 368, 12300, 9468, 17, 67080, 26402, 3519, 3172, 10494, 17, 15082, 31163, 12312, 6149, 105311, 66673, 29, 2127, 103115, 33, 1111, 12764, 488, 2932, 1776, 5, 15, 17959, 285, 4879, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 19428, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 1629, 29, 603, 85318, 12879, 25044, 13869, 613, 26002, 58344, 49820, 28379, 603, 44, 3276, 3269, 427, 20296, 58344, 49820, 28379, 17, 1387, 3804, 12484, 861, 473, 1400, 5801, 861, 15726, 427, 727, 58344, 49820, 28379, 632, 1119, 12484, 23581, 2310, 461, 58344, 5, 1331, 9314, 2932, 1776, 375, 20071, 15726, 56980, 12, 29, 189, 15637, 17, 201365, 17, 6312, 2175, 2310, 16, 165022, 7122, 12717, 259, 7122, 48670, 16275, 83, 3381, 4612, 6495, 87305, 4969, 189, 56079, 19781, 31950, 2782, 3390, 38695, 861, 727, 58344, 49820, 28379, 375, 392, 236953, 727, 1130, 27462, 9740, 25206, 461, 58344, 27090, 473, 21266, 3804, 660, 209585, 2310, 4076, 11841, 66497, 1188, 11983, 9487, 567, 85318, 12879, 530, 110443, 5, 861, 632, 82771, 613, 165132, 919, 2670, 62796, 17, 473, 4472, 17253, 17, 473, 4472, 3331, 18914, 25044, 17, 473, 4979, 427, 43444, 368, 12484, 18914, 25044, 1331, 13639, 4879, 2131, 1809, 267, 56596, 664, 37540, 25044, 375, 10203, 23498, 3676, 30645, 581, 5132, 718, 1216, 79032, 26919, 5673, 473, 43444, 368, 12484, 18914, 25044, 1331, 13639, 4879, 15, 2152, 2670, 17265, 361, 37540, 25044, 722, 33180, 427, 20296, 368, 12484, 23581, 2310, 461, 110443, 5, 1331, 9314, 2932, 1776, 2040, 59283, 1152, 267, 10454, 17, 105901, 603, 7690, 1152, 4472, 17253, 11762, 18914, 25044, 15, 1152, 3403, 722, 11045, 427, 6223, 9314, 2932, 1776, 17, 473, 5926, 84342, 861, 20242, 861, 4936, 18914, 25044, 361, 718, 17, 5568, 727, 3423, 427, 4472, 4143, 427, 11602, 93092, 25515, 17, 10912, 29, 6782, 11582, 386, 283, 42, 19341, 2116, 9314, 2932, 1776, 632, 3595, 473, 3866, 361, 19142, 3262, 473, 39898, 368, 12300, 9468, 17, 67080, 26402, 3519, 3172, 10494, 17, 15082, 31163, 12312, 6149, 105311, 66673, 29, 2127, 103115, 33, 16111, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 4052, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 1629, 29, 603, 85318, 12879, 25044, 13869, 613, 26002, 58344, 49820, 28379, 603, 44, 3276, 3269, 427, 20296, 58344, 49820, 28379, 17, 1387, 3804, 12484, 861, 473, 1400, 5801, 861, 15726, 427, 727, 58344, 49820, 28379, 632, 1119, 12484, 23581, 2310, 461, 58344, 5, 1331, 9314, 2932, 1776, 375, 20071, 15726, 56980, 12, 29, 189, 15637, 17, 201365, 17, 6312, 2175, 2310, 16, 165022, 7122, 12717, 259, 7122, 48670, 16275, 83, 3381, 4612, 6495, 87305, 4969, 189, 56079, 19781, 31950, 2782, 3390, 38695, 861, 727, 58344, 49820, 28379, 375, 392, 236953, 727, 1130, 27462, 9740, 25206, 461, 58344, 27090, 473, 21266, 3804, 660, 209585, 2310, 4076, 11841, 66497, 1188, 11983, 9487, 567, 85318, 12879, 530, 110443, 5, 861, 632, 82771, 613, 165132, 919, 2670, 62796, 17, 473, 4472, 17253, 17, 473, 4472, 3331, 18914, 25044, 17, 473, 4979, 427, 43444, 368, 12484, 18914, 25044, 1331, 13639, 4879, 2131, 1809, 267, 56596, 664, 37540, 25044, 375, 10203, 23498, 3676, 30645, 581, 5132, 718, 1216, 79032, 26919, 5673, 473, 43444, 368, 12484, 18914, 25044, 1331, 13639, 4879, 15, 2152, 2670, 17265, 361, 37540, 25044, 722, 33180, 427, 20296, 368, 12484, 23581, 2310, 461, 110443, 5, 1331, 9314, 2932, 1776, 2040, 59283, 1152, 267, 10454, 17, 105901, 603, 7690, 1152, 4472, 17253, 11762, 18914, 25044, 15, 1152, 3403, 722, 11045, 427, 6223, 9314, 2932, 1776, 17, 473, 5926, 84342, 861, 20242, 861, 4936, 18914, 25044, 361, 718, 17, 5568, 727, 3423, 427, 4472, 4143, 427, 11602, 93092, 25515, 17, 10912, 29, 6782, 11582, 386, 283, 42, 19341, 2116, 9314, 2932, 1776, 632, 3595, 473, 3866, 361, 19142, 3262, 473, 39898, 368, 12300, 9468, 17, 67080, 26402, 3519, 3172, 10494, 17, 15082, 31163, 12312, 6149, 105311, 66673, 29, 2127, 103115, 33, 34955, 18096, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 6608, 461, 368, 28595, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 404, 17, 35359, 461, 368, 1004, 7072, 189, 6168, 28595, 53581, 427, 6835, 30760, 530, 3172, 24211, 427, 126299, 1049, 51469, 67574, 37069, 38026, 6147, 96381, 17, 415, 17, 61408, 461, 368, 92869, 13315, 189, 2175, 3423, 427, 26926, 368, 105689, 461, 61747, 1485, 1035, 192352, 12277, 13133, 632, 267, 604, 145245, 6875, 613, 2131, 7112, 24821, 1542, 3784, 26739, 17, 20047, 376, 1071, 65013, 115581, 791, 103918, 56862, 368, 194230, 54451, 13773, 461, 368, 34834, 22329, 1306, 6355, 13937, 17, 764, 17, 54, 17, 8883, 17, 3928, 17, 934, 15, 71443, 15, 170829, 427, 435, 18000, 26146, 267, 154602, 14808, 427, 722, 66170, 10393, 1002, 368, 194230, 72141, 791, 154602, 25170, 17, 35202, 9740, 3981, 51557, 15, 764, 17, 54, 17, 8883, 17, 3928, 17, 934, 15, 241787, 15, 102514, 427, 30198, 257, 530, 764, 17, 54, 17, 8883, 17, 3928, 17, 735, 15, 220585, 15, 56598, 427, 1723, 16257, 455, 7378, 13842, 267, 25170, 14808, 613, 368, 154602, 17, 8913, 8603, 51557, 70730, 861, 3262, 267, 134178, 4226, 213107, 368, 34834, 661, 267, 10925, 461, 21260, 15, 718, 1809, 3784, 12910, 9893, 427, 8265, 427, 11865, 21260, 1331, 10764, 352, 48357, 368, 34834, 791, 3936, 267, 48400, 4944, 919, 368, 3853, 861, 5984, 150402, 10925, 6263, 3156, 368, 34834, 530, 368, 22329, 17, 6914, 20726, 1119, 4105, 461, 21260, 15, 1728, 8603, 51557, 530, 24211, 30198, 257, 530, 1723, 16257, 455, 91736, 664, 25170, 10925, 427, 8265, 427, 248766, 368, 34834, 74066, 17625, 17, 1004, 30198, 257, 15, 267, 25170, 632, 66170, 10393, 368, 14652, 10844, 461, 368, 22329, 919, 4548, 52299, 427, 368, 154602, 25170, 17, 1004, 30198, 257, 15, 368, 103918, 56862, 25170, 30873, 919, 4548, 52299, 427, 368, 38026, 664, 368, 154602, 25170, 15, 51784, 361, 1723, 16257, 455, 368, 25170, 30873, 35301, 6149, 105311, 66673, 29, 2127, 103115, 33, 34955, 1411, 7072, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 2298, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 404, 17, 35359, 461, 368, 1004, 7072, 189, 6168, 28595, 53581, 427, 6835, 30760, 530, 3172, 24211, 427, 126299, 1049, 51469, 67574, 37069, 38026, 6147, 96381, 17, 415, 17, 61408, 461, 368, 92869, 13315, 189, 2175, 3423, 427, 26926, 368, 105689, 461, 61747, 1485, 1035, 192352, 12277, 13133, 632, 267, 604, 145245, 6875, 613, 2131, 7112, 24821, 1542, 3784, 26739, 17, 20047, 376, 1071, 65013, 115581, 791, 103918, 56862, 368, 194230, 54451, 13773, 461, 368, 34834, 22329, 1306, 6355, 13937, 17, 764, 17, 54, 17, 8883, 17, 3928, 17, 934, 15, 71443, 15, 170829, 427, 435, 18000, 26146, 267, 154602, 14808, 427, 722, 66170, 10393, 1002, 368, 194230, 72141, 791, 154602, 25170, 17, 35202, 9740, 3981, 51557, 15, 764, 17, 54, 17, 8883, 17, 3928, 17, 934, 15, 241787, 15, 102514, 427, 30198, 257, 530, 764, 17, 54, 17, 8883, 17, 3928, 17, 735, 15, 220585, 15, 56598, 427, 1723, 16257, 455, 7378, 13842, 267, 25170, 14808, 613, 368, 154602, 17, 8913, 8603, 51557, 70730, 861, 3262, 267, 134178, 4226, 213107, 368, 34834, 661, 267, 10925, 461, 21260, 15, 718, 1809, 3784, 12910, 9893, 427, 8265, 427, 11865, 21260, 1331, 10764, 352, 48357, 368, 34834, 791, 3936, 267, 48400, 4944, 919, 368, 3853, 861, 5984, 150402, 10925, 6263, 3156, 368, 34834, 530, 368, 22329, 17, 6914, 20726, 1119, 4105, 461, 21260, 15, 1728, 8603, 51557, 530, 24211, 30198, 257, 530, 1723, 16257, 455, 91736, 664, 25170, 10925, 427, 8265, 427, 248766, 368, 34834, 74066, 17625, 17, 1004, 30198, 257, 15, 267, 25170, 632, 66170, 10393, 368, 14652, 10844, 461, 368, 22329, 919, 4548, 52299, 427, 368, 154602, 25170, 17, 1004, 30198, 257, 15, 368, 103918, 56862, 25170, 30873, 919, 4548, 52299, 427, 368, 38026, 664, 368, 154602, 25170, 15, 51784, 361, 1723, 16257, 455, 368, 25170, 30873, 35301, 6149, 105311, 66673, 29, 2127, 103115, 33, 16111, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 32125, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 115072, 620, 130755, 10966, 1306, 368, 7733, 131663, 113297, 1800, 2782, 647, 3751, 356, 22, 603, 44, 912, 12491, 267, 23714, 49780, 427, 5801, 368, 7921, 15, 6084, 13828, 49294, 131663, 42741, 113297, 1800, 2782, 17, 38812, 613, 6635, 1152, 3423, 2632, 9016, 131663, 6848, 104935, 530, 30821, 104935, 361, 48706, 81228, 25796, 17, 64747, 38407, 2782, 2914, 23487, 98445, 9643, 7478, 24821, 1800, 2782, 1400, 10916, 2592, 427, 28564, 78504, 3331, 26942, 375, 137111, 426, 129390, 11340, 12, 530, 1542, 3520, 16, 30502, 7932, 60279, 530, 82406, 18409, 34, 564, 249359, 189, 26110, 71, 4612, 189, 116447, 6552, 15, 32657, 6486, 15, 654, 5893, 17, 189593, 11700, 17301, 613, 7747, 22608, 1380, 9270, 57506, 35796, 15407, 15, 38325, 78228, 530, 58350, 2430, 17, 240008, 189, 73390, 356, 22, 189, 138703, 4, 2914, 3390, 55432, 34, 15527, 33151, 196807, 632, 7220, 6149, 105311, 66673, 29, 2127, 103115, 33, 16111, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 45830, 5431, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 115072, 620, 130755, 10966, 1306, 368, 7733, 131663, 113297, 1800, 2782, 647, 3751, 356, 22, 603, 44, 912, 12491, 267, 23714, 49780, 427, 5801, 368, 7921, 15, 6084, 13828, 49294, 131663, 42741, 113297, 1800, 2782, 17, 38812, 613, 6635, 1152, 3423, 2632, 9016, 131663, 6848, 104935, 530, 30821, 104935, 361, 48706, 81228, 25796, 17, 64747, 38407, 2782, 2914, 23487, 98445, 9643, 7478, 24821, 1800, 2782, 1400, 10916, 2592, 427, 28564, 78504, 3331, 26942, 375, 137111, 426, 129390, 11340, 12, 530, 1542, 3520, 16, 30502, 7932, 60279, 530, 82406, 18409, 34, 564, 249359, 189, 26110, 71, 4612, 189, 116447, 6552, 15, 32657, 6486, 15, 654, 5893, 17, 189593, 11700, 17301, 613, 7747, 22608, 1380, 9270, 57506, 35796, 15407, 15, 38325, 78228, 530, 58350, 2430, 17, 240008, 189, 73390, 356, 22, 189, 138703, 4, 2914, 3390, 55432, 34, 15527, 33151, 196807, 632, 7220, 6149, 105311, 66673, 29, 2127, 103115, 33, 34955, 127884, 5, 15, 567, 35370, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 12752, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 115072, 620, 130755, 10966, 1306, 368, 7733, 131663, 113297, 1800, 2782, 647, 3751, 356, 22, 603, 44, 912, 12491, 267, 23714, 49780, 427, 5801, 368, 7921, 15, 6084, 13828, 49294, 131663, 42741, 113297, 1800, 2782, 17, 38812, 613, 6635, 1152, 3423, 2632, 9016, 131663, 6848, 104935, 530, 30821, 104935, 361, 48706, 81228, 25796, 17, 64747, 38407, 2782, 2914, 23487, 98445, 9643, 7478, 24821, 1800, 2782, 1400, 10916, 2592, 427, 28564, 78504, 3331, 26942, 375, 137111, 426, 129390, 11340, 12, 530, 1542, 3520, 16, 30502, 7932, 60279, 530, 82406, 18409, 34, 564, 249359, 189, 26110, 71, 4612, 189, 116447, 6552, 15, 32657, 6486, 15, 654, 5893, 17, 189593, 11700, 17301, 613, 7747, 22608, 1380, 9270, 57506, 35796, 15407, 15, 38325, 78228, 530, 58350, 2430, 17, 240008, 189, 73390, 356, 22, 189, 138703, 4, 2914, 3390, 55432, 34, 15527, 33151, 196807, 632, 7220, 6149, 105311, 66673, 29, 2127, 103115, 33, 16111, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 131663, 30962, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 115072, 620, 130755, 10966, 1306, 368, 7733, 131663, 113297, 1800, 2782, 647, 3751, 356, 22, 603, 44, 912, 12491, 267, 23714, 49780, 427, 5801, 368, 7921, 15, 6084, 13828, 49294, 131663, 42741, 113297, 1800, 2782, 17, 38812, 613, 6635, 1152, 3423, 2632, 9016, 131663, 6848, 104935, 530, 30821, 104935, 361, 48706, 81228, 25796, 17, 64747, 38407, 2782, 2914, 23487, 98445, 9643, 7478, 24821, 1800, 2782, 1400, 10916, 2592, 427, 28564, 78504, 3331, 26942, 375, 137111, 426, 129390, 11340, 12, 530, 1542, 3520, 16, 30502, 7932, 60279, 530, 82406, 18409, 34, 564, 249359, 189, 26110, 71, 4612, 189, 116447, 6552, 15, 32657, 6486, 15, 654, 5893, 17, 189593, 11700, 17301, 613, 7747, 22608, 1380, 9270, 57506, 35796, 15407, 15, 38325, 78228, 530, 58350, 2430, 17, 240008, 189, 73390, 356, 22, 189, 138703, 4, 2914, 3390, 55432, 34, 15527, 33151, 196807, 632, 7220, 6149, 105311, 66673, 29, 2127, 103115, 33, 34955, 116447, 6552, 5, 15, 12874, 475, 14158, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 51950, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 115072, 620, 130755, 10966, 1306, 368, 7733, 131663, 113297, 1800, 2782, 647, 3751, 356, 22, 603, 44, 912, 12491, 267, 23714, 49780, 427, 5801, 368, 7921, 15, 6084, 13828, 49294, 131663, 42741, 113297, 1800, 2782, 17, 38812, 613, 6635, 1152, 3423, 2632, 9016, 131663, 6848, 104935, 530, 30821, 104935, 361, 48706, 81228, 25796, 17, 64747, 38407, 2782, 2914, 23487, 98445, 9643, 7478, 24821, 1800, 2782, 1400, 10916, 2592, 427, 28564, 78504, 3331, 26942, 375, 137111, 426, 129390, 11340, 12, 530, 1542, 3520, 16, 30502, 7932, 60279, 530, 82406, 18409, 34, 564, 249359, 189, 26110, 71, 4612, 189, 116447, 6552, 15, 32657, 6486, 15, 654, 5893, 17, 189593, 11700, 17301, 613, 7747, 22608, 1380, 9270, 57506, 35796, 15407, 15, 38325, 78228, 530, 58350, 2430, 17, 240008, 189, 73390, 356, 22, 189, 138703, 4, 2914, 3390, 55432, 34, 15527, 33151, 196807, 632, 7220, 6149, 105311, 66673, 29, 2127, 103115, 33, 1111, 24394, 129390, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 19428, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 115072, 620, 130755, 10966, 1306, 368, 7733, 131663, 113297, 1800, 2782, 647, 3751, 356, 22, 603, 44, 912, 12491, 267, 23714, 49780, 427, 5801, 368, 7921, 15, 6084, 13828, 49294, 131663, 42741, 113297, 1800, 2782, 17, 38812, 613, 6635, 1152, 3423, 2632, 9016, 131663, 6848, 104935, 530, 30821, 104935, 361, 48706, 81228, 25796, 17, 64747, 38407, 2782, 2914, 23487, 98445, 9643, 7478, 24821, 1800, 2782, 1400, 10916, 2592, 427, 28564, 78504, 3331, 26942, 375, 137111, 426, 129390, 11340, 12, 530, 1542, 3520, 16, 30502, 7932, 60279, 530, 82406, 18409, 34, 564, 249359, 189, 26110, 71, 4612, 189, 116447, 6552, 15, 32657, 6486, 15, 654, 5893, 17, 189593, 11700, 17301, 613, 7747, 22608, 1380, 9270, 57506, 35796, 15407, 15, 38325, 78228, 530, 58350, 2430, 17, 240008, 189, 73390, 356, 22, 189, 138703, 4, 2914, 3390, 55432, 34, 15527, 33151, 196807, 632, 7220, 6149, 105311, 66673, 29, 2127, 103115, 33, 16111, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 2298, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 36534, 17896, 22161, 82, 32494, 32465, 32482, 152721, 4644, 34, 16335, 12587, 427, 9318, 368, 4334, 16, 63977, 4401, 809, 15, 19917, 16, 63977, 110635, 85646, 209062, 190354, 84409, 9468, 473, 11102, 267, 12442, 15226, 5546, 14319, 17, 12899, 109034, 1809, 36534, 17896, 27425, 59643, 1320, 718, 1400, 43638, 368, 12978, 613, 132878, 17, 16335, 2592, 461, 267, 12436, 461, 23151, 368, 36534, 17896, 1256, 27425, 1809, 34001, 120832, 376, 25135, 368, 125347, 427, 16947, 368, 6786, 461, 45830, 530, 96721, 368, 190354, 530, 2307, 94412, 173377, 530, 15, 36616, 89122, 15, 19528, 9955, 173377, 5734, 17, 7535, 427, 43638, 190354, 71813, 63358, 86, 530, 3595, 427, 74261, 17817, 1306, 49600, 105538, 23151, 1427, 8372, 17939, 1790, 361, 4085, 45071, 108487, 3447, 361, 18019, 1485, 368, 26555, 1256, 11468, 55032, 15, 43485, 55513, 542, 8419, 15, 427, 36534, 17896, 46403, 38498, 107336, 93, 2588, 15, 530, 368, 26555, 1256, 157682, 46403, 15, 29878, 37695, 530, 182591, 17, 1387, 108487, 15, 77406, 18019, 1581, 530, 18019, 2669, 15, 3121, 23003, 1331, 368, 94862, 41900, 68630, 361, 267, 91646, 2470, 30673, 8821, 461, 267, 13802, 1256, 30362, 461, 108487, 3447, 427, 530, 1485, 368, 26555, 1256, 46403, 15, 530, 15966, 376, 427, 14354, 20601, 361, 3172, 4340, 735, 15, 1874, 20601, 30362, 461, 108487, 17, 17904, 461, 368, 71813, 63358, 63170, 1542, 3784, 88508, 3638, 122922, 791, 46383, 1002, 9049, 131596, 14585, 15110, 15968, 15, 5268, 3466, 5219, 2256, 368, 36534, 17896, 28675, 17, 1004, 14127, 15, 267, 53577, 361, 368, 190354, 21592, 1485, 9955, 427, 101736, 613, 12498, 530, 114784, 613, 67105, 17, 23694, 41543, 127921, 267, 2307, 94412, 53577, 22726, 12362, 5132, 2256, 58934, 5546, 6149, 105311, 66673, 29, 2127, 103115, 33, 34955, 113336, 55513, 542, 8419, 5, 15, 12874, 2542, 107336, 93, 2588, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 41846, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 36534, 17896, 22161, 82, 32494, 32465, 32482, 152721, 4644, 34, 16335, 12587, 427, 9318, 368, 4334, 16, 63977, 4401, 809, 15, 19917, 16, 63977, 110635, 85646, 209062, 190354, 84409, 9468, 473, 11102, 267, 12442, 15226, 5546, 14319, 17, 12899, 109034, 1809, 36534, 17896, 27425, 59643, 1320, 718, 1400, 43638, 368, 12978, 613, 132878, 17, 16335, 2592, 461, 267, 12436, 461, 23151, 368, 36534, 17896, 1256, 27425, 1809, 34001, 120832, 376, 25135, 368, 125347, 427, 16947, 368, 6786, 461, 45830, 530, 96721, 368, 190354, 530, 2307, 94412, 173377, 530, 15, 36616, 89122, 15, 19528, 9955, 173377, 5734, 17, 7535, 427, 43638, 190354, 71813, 63358, 86, 530, 3595, 427, 74261, 17817, 1306, 49600, 105538, 23151, 1427, 8372, 17939, 1790, 361, 4085, 45071, 108487, 3447, 361, 18019, 1485, 368, 26555, 1256, 11468, 55032, 15, 43485, 55513, 542, 8419, 15, 427, 36534, 17896, 46403, 38498, 107336, 93, 2588, 15, 530, 368, 26555, 1256, 157682, 46403, 15, 29878, 37695, 530, 182591, 17, 1387, 108487, 15, 77406, 18019, 1581, 530, 18019, 2669, 15, 3121, 23003, 1331, 368, 94862, 41900, 68630, 361, 267, 91646, 2470, 30673, 8821, 461, 267, 13802, 1256, 30362, 461, 108487, 3447, 427, 530, 1485, 368, 26555, 1256, 46403, 15, 530, 15966, 376, 427, 14354, 20601, 361, 3172, 4340, 735, 15, 1874, 20601, 30362, 461, 108487, 17, 17904, 461, 368, 71813, 63358, 63170, 1542, 3784, 88508, 3638, 122922, 791, 46383, 1002, 9049, 131596, 14585, 15110, 15968, 15, 5268, 3466, 5219, 2256, 368, 36534, 17896, 28675, 17, 1004, 14127, 15, 267, 53577, 361, 368, 190354, 21592, 1485, 9955, 427, 101736, 613, 12498, 530, 114784, 613, 67105, 17, 23694, 41543, 127921, 267, 2307, 94412, 53577, 22726, 12362, 5132, 2256, 58934, 5546, 6149, 105311, 66673, 29, 2127, 103115, 33, 34955, 151374, 17896, 5, 15, 567, 201439, 41900, 68630, 5, 15, 567, 23361, 131596, 14585, 15110, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 10421, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 36534, 17896, 22161, 82, 32494, 32465, 32482, 152721, 4644, 34, 16335, 12587, 427, 9318, 368, 4334, 16, 63977, 4401, 809, 15, 19917, 16, 63977, 110635, 85646, 209062, 190354, 84409, 9468, 473, 11102, 267, 12442, 15226, 5546, 14319, 17, 12899, 109034, 1809, 36534, 17896, 27425, 59643, 1320, 718, 1400, 43638, 368, 12978, 613, 132878, 17, 16335, 2592, 461, 267, 12436, 461, 23151, 368, 36534, 17896, 1256, 27425, 1809, 34001, 120832, 376, 25135, 368, 125347, 427, 16947, 368, 6786, 461, 45830, 530, 96721, 368, 190354, 530, 2307, 94412, 173377, 530, 15, 36616, 89122, 15, 19528, 9955, 173377, 5734, 17, 7535, 427, 43638, 190354, 71813, 63358, 86, 530, 3595, 427, 74261, 17817, 1306, 49600, 105538, 23151, 1427, 8372, 17939, 1790, 361, 4085, 45071, 108487, 3447, 361, 18019, 1485, 368, 26555, 1256, 11468, 55032, 15, 43485, 55513, 542, 8419, 15, 427, 36534, 17896, 46403, 38498, 107336, 93, 2588, 15, 530, 368, 26555, 1256, 157682, 46403, 15, 29878, 37695, 530, 182591, 17, 1387, 108487, 15, 77406, 18019, 1581, 530, 18019, 2669, 15, 3121, 23003, 1331, 368, 94862, 41900, 68630, 361, 267, 91646, 2470, 30673, 8821, 461, 267, 13802, 1256, 30362, 461, 108487, 3447, 427, 530, 1485, 368, 26555, 1256, 46403, 15, 530, 15966, 376, 427, 14354, 20601, 361, 3172, 4340, 735, 15, 1874, 20601, 30362, 461, 108487, 17, 17904, 461, 368, 71813, 63358, 63170, 1542, 3784, 88508, 3638, 122922, 791, 46383, 1002, 9049, 131596, 14585, 15110, 15968, 15, 5268, 3466, 5219, 2256, 368, 36534, 17896, 28675, 17, 1004, 14127, 15, 267, 53577, 361, 368, 190354, 21592, 1485, 9955, 427, 101736, 613, 12498, 530, 114784, 613, 67105, 17, 23694, 41543, 127921, 267, 2307, 94412, 53577, 22726, 12362, 5132, 2256, 58934, 5546, 6149, 105311, 66673, 29, 2127, 103115, 33, 1111, 32867, 1293, 354, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 22557, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 36534, 17896, 22161, 82, 32494, 32465, 32482, 152721, 4644, 34, 16335, 12587, 427, 9318, 368, 4334, 16, 63977, 4401, 809, 15, 19917, 16, 63977, 110635, 85646, 209062, 190354, 84409, 9468, 473, 11102, 267, 12442, 15226, 5546, 14319, 17, 12899, 109034, 1809, 36534, 17896, 27425, 59643, 1320, 718, 1400, 43638, 368, 12978, 613, 132878, 17, 16335, 2592, 461, 267, 12436, 461, 23151, 368, 36534, 17896, 1256, 27425, 1809, 34001, 120832, 376, 25135, 368, 125347, 427, 16947, 368, 6786, 461, 45830, 530, 96721, 368, 190354, 530, 2307, 94412, 173377, 530, 15, 36616, 89122, 15, 19528, 9955, 173377, 5734, 17, 7535, 427, 43638, 190354, 71813, 63358, 86, 530, 3595, 427, 74261, 17817, 1306, 49600, 105538, 23151, 1427, 8372, 17939, 1790, 361, 4085, 45071, 108487, 3447, 361, 18019, 1485, 368, 26555, 1256, 11468, 55032, 15, 43485, 55513, 542, 8419, 15, 427, 36534, 17896, 46403, 38498, 107336, 93, 2588, 15, 530, 368, 26555, 1256, 157682, 46403, 15, 29878, 37695, 530, 182591, 17, 1387, 108487, 15, 77406, 18019, 1581, 530, 18019, 2669, 15, 3121, 23003, 1331, 368, 94862, 41900, 68630, 361, 267, 91646, 2470, 30673, 8821, 461, 267, 13802, 1256, 30362, 461, 108487, 3447, 427, 530, 1485, 368, 26555, 1256, 46403, 15, 530, 15966, 376, 427, 14354, 20601, 361, 3172, 4340, 735, 15, 1874, 20601, 30362, 461, 108487, 17, 17904, 461, 368, 71813, 63358, 63170, 1542, 3784, 88508, 3638, 122922, 791, 46383, 1002, 9049, 131596, 14585, 15110, 15968, 15, 5268, 3466, 5219, 2256, 368, 36534, 17896, 28675, 17, 1004, 14127, 15, 267, 53577, 361, 368, 190354, 21592, 1485, 9955, 427, 101736, 613, 12498, 530, 114784, 613, 67105, 17, 23694, 41543, 127921, 267, 2307, 94412, 53577, 22726, 12362, 5132, 2256, 58934, 5546, 6149, 105311, 66673, 29, 2127, 103115, 33, 16111, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 19428, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 36534, 17896, 22161, 82, 32494, 32465, 32482, 152721, 4644, 34, 16335, 12587, 427, 9318, 368, 4334, 16, 63977, 4401, 809, 15, 19917, 16, 63977, 110635, 85646, 209062, 190354, 84409, 9468, 473, 11102, 267, 12442, 15226, 5546, 14319, 17, 12899, 109034, 1809, 36534, 17896, 27425, 59643, 1320, 718, 1400, 43638, 368, 12978, 613, 132878, 17, 16335, 2592, 461, 267, 12436, 461, 23151, 368, 36534, 17896, 1256, 27425, 1809, 34001, 120832, 376, 25135, 368, 125347, 427, 16947, 368, 6786, 461, 45830, 530, 96721, 368, 190354, 530, 2307, 94412, 173377, 530, 15, 36616, 89122, 15, 19528, 9955, 173377, 5734, 17, 7535, 427, 43638, 190354, 71813, 63358, 86, 530, 3595, 427, 74261, 17817, 1306, 49600, 105538, 23151, 1427, 8372, 17939, 1790, 361, 4085, 45071, 108487, 3447, 361, 18019, 1485, 368, 26555, 1256, 11468, 55032, 15, 43485, 55513, 542, 8419, 15, 427, 36534, 17896, 46403, 38498, 107336, 93, 2588, 15, 530, 368, 26555, 1256, 157682, 46403, 15, 29878, 37695, 530, 182591, 17, 1387, 108487, 15, 77406, 18019, 1581, 530, 18019, 2669, 15, 3121, 23003, 1331, 368, 94862, 41900, 68630, 361, 267, 91646, 2470, 30673, 8821, 461, 267, 13802, 1256, 30362, 461, 108487, 3447, 427, 530, 1485, 368, 26555, 1256, 46403, 15, 530, 15966, 376, 427, 14354, 20601, 361, 3172, 4340, 735, 15, 1874, 20601, 30362, 461, 108487, 17, 17904, 461, 368, 71813, 63358, 63170, 1542, 3784, 88508, 3638, 122922, 791, 46383, 1002, 9049, 131596, 14585, 15110, 15968, 15, 5268, 3466, 5219, 2256, 368, 36534, 17896, 28675, 17, 1004, 14127, 15, 267, 53577, 361, 368, 190354, 21592, 1485, 9955, 427, 101736, 613, 12498, 530, 114784, 613, 67105, 17, 23694, 41543, 127921, 267, 2307, 94412, 53577, 22726, 12362, 5132, 2256, 58934, 5546, 6149, 105311, 66673, 29, 2127, 103115, 33, 34955, 44, 11102, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 6036, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 36534, 17896, 22161, 82, 32494, 32465, 32482, 152721, 4644, 34, 16335, 12587, 427, 9318, 368, 4334, 16, 63977, 4401, 809, 15, 19917, 16, 63977, 110635, 85646, 209062, 190354, 84409, 9468, 473, 11102, 267, 12442, 15226, 5546, 14319, 17, 12899, 109034, 1809, 36534, 17896, 27425, 59643, 1320, 718, 1400, 43638, 368, 12978, 613, 132878, 17, 16335, 2592, 461, 267, 12436, 461, 23151, 368, 36534, 17896, 1256, 27425, 1809, 34001, 120832, 376, 25135, 368, 125347, 427, 16947, 368, 6786, 461, 45830, 530, 96721, 368, 190354, 530, 2307, 94412, 173377, 530, 15, 36616, 89122, 15, 19528, 9955, 173377, 5734, 17, 7535, 427, 43638, 190354, 71813, 63358, 86, 530, 3595, 427, 74261, 17817, 1306, 49600, 105538, 23151, 1427, 8372, 17939, 1790, 361, 4085, 45071, 108487, 3447, 361, 18019, 1485, 368, 26555, 1256, 11468, 55032, 15, 43485, 55513, 542, 8419, 15, 427, 36534, 17896, 46403, 38498, 107336, 93, 2588, 15, 530, 368, 26555, 1256, 157682, 46403, 15, 29878, 37695, 530, 182591, 17, 1387, 108487, 15, 77406, 18019, 1581, 530, 18019, 2669, 15, 3121, 23003, 1331, 368, 94862, 41900, 68630, 361, 267, 91646, 2470, 30673, 8821, 461, 267, 13802, 1256, 30362, 461, 108487, 3447, 427, 530, 1485, 368, 26555, 1256, 46403, 15, 530, 15966, 376, 427, 14354, 20601, 361, 3172, 4340, 735, 15, 1874, 20601, 30362, 461, 108487, 17, 17904, 461, 368, 71813, 63358, 63170, 1542, 3784, 88508, 3638, 122922, 791, 46383, 1002, 9049, 131596, 14585, 15110, 15968, 15, 5268, 3466, 5219, 2256, 368, 36534, 17896, 28675, 17, 1004, 14127, 15, 267, 53577, 361, 368, 190354, 21592, 1485, 9955, 427, 101736, 613, 12498, 530, 114784, 613, 67105, 17, 23694, 41543, 127921, 267, 2307, 94412, 53577, 22726, 12362, 5132, 2256, 58934, 5546, 6149, 105311, 66673, 29, 2127, 103115, 33, 34955, 151374, 17896, 190354, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 4451, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 20089, 14614, 135339, 1519, 530, 194146, 42086, 1542, 35332, 3968, 15321, 530, 6426, 88076, 14844, 74851, 211808, 461, 3776, 174669, 664, 110257, 14775, 613, 129195, 934, 15, 129195, 735, 15, 530, 10912, 139851, 15, 11594, 1800, 1119, 61307, 361, 23346, 530, 5854, 361, 17527, 24955, 530, 10428, 17, 1387, 14775, 9313, 4291, 14570, 2152, 16947, 368, 26143, 461, 368, 19662, 6134, 114780, 15, 530, 267, 5334, 461, 119051, 861, 6507, 368, 40045, 18710, 664, 11089, 26702, 1306, 3466, 6610, 24740, 17, 1387, 5025, 40420, 66633, 1485, 368, 114780, 2152, 3466, 2123, 427, 5783, 3808, 26702, 17, 12018, 368, 14775, 25402, 67606, 12312, 2494, 20, 12, 110874, 17871, 620, 59387, 28141, 1004, 267, 47936, 49030, 7150, 4618, 368, 8431, 461, 49030, 632, 95899, 35179, 15, 368, 2600, 461, 368, 21086, 9313, 36596, 1809, 267, 3793, 18003, 427, 34071, 24789, 17, 1004, 267, 14775, 861, 42594, 6426, 71027, 17871, 38651, 15, 368, 36938, 772, 461, 135265, 9066, 530, 71135, 92711, 198440, 1306, 319, 13762, 15564, 427, 13842, 267, 2084, 9482, 461, 49030, 11705, 15397, 6880, 361, 267, 10031, 14775, 17, 202759, 664, 368, 71027, 17871, 11118, 15, 1152, 1400, 37025, 76765, 530, 79296, 791, 45578, 368, 7565, 256, 7160, 37673, 17, 1387, 21086, 9313, 22876, 20529, 368, 14810, 461, 49030, 361, 267, 9160, 4676, 17, 3904, 632, 135265, 9066, 361, 267, 2084, 2070, 2494, 21, 12, 35585, 199265, 76361, 12879, 530, 84774, 8970, 52329, 203412, 32841, 525, 1400, 5219, 12229, 2971, 461, 368, 35585, 199265, 76361, 196907, 427, 60991, 105868, 10515, 368, 60614, 530, 49030, 7565, 703, 6149, 105311, 66673, 29, 2127, 103115, 33, 16111, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 15584, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 20089, 14614, 135339, 1519, 530, 194146, 42086, 1542, 35332, 3968, 15321, 530, 6426, 88076, 14844, 74851, 211808, 461, 3776, 174669, 664, 110257, 14775, 613, 129195, 934, 15, 129195, 735, 15, 530, 10912, 139851, 15, 11594, 1800, 1119, 61307, 361, 23346, 530, 5854, 361, 17527, 24955, 530, 10428, 17, 1387, 14775, 9313, 4291, 14570, 2152, 16947, 368, 26143, 461, 368, 19662, 6134, 114780, 15, 530, 267, 5334, 461, 119051, 861, 6507, 368, 40045, 18710, 664, 11089, 26702, 1306, 3466, 6610, 24740, 17, 1387, 5025, 40420, 66633, 1485, 368, 114780, 2152, 3466, 2123, 427, 5783, 3808, 26702, 17, 12018, 368, 14775, 25402, 67606, 12312, 2494, 20, 12, 110874, 17871, 620, 59387, 28141, 1004, 267, 47936, 49030, 7150, 4618, 368, 8431, 461, 49030, 632, 95899, 35179, 15, 368, 2600, 461, 368, 21086, 9313, 36596, 1809, 267, 3793, 18003, 427, 34071, 24789, 17, 1004, 267, 14775, 861, 42594, 6426, 71027, 17871, 38651, 15, 368, 36938, 772, 461, 135265, 9066, 530, 71135, 92711, 198440, 1306, 319, 13762, 15564, 427, 13842, 267, 2084, 9482, 461, 49030, 11705, 15397, 6880, 361, 267, 10031, 14775, 17, 202759, 664, 368, 71027, 17871, 11118, 15, 1152, 1400, 37025, 76765, 530, 79296, 791, 45578, 368, 7565, 256, 7160, 37673, 17, 1387, 21086, 9313, 22876, 20529, 368, 14810, 461, 49030, 361, 267, 9160, 4676, 17, 3904, 632, 135265, 9066, 361, 267, 2084, 2070, 2494, 21, 12, 35585, 199265, 76361, 12879, 530, 84774, 8970, 52329, 203412, 32841, 525, 1400, 5219, 12229, 2971, 461, 368, 35585, 199265, 76361, 196907, 427, 60991, 105868, 10515, 368, 60614, 530, 49030, 7565, 703, 6149, 105311, 66673, 29, 2127, 103115, 33, 34955, 112509, 664, 110257, 5, 15, 567, 20630, 114780, 5, 15, 15905, 141395, 620, 59387, 28141, 5, 15, 567, 31339, 199265, 76361, 12879, 530, 84774, 8970, 52329, 203412, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 5963, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 20089, 14614, 135339, 1519, 530, 194146, 42086, 1542, 35332, 3968, 15321, 530, 6426, 88076, 14844, 74851, 211808, 461, 3776, 174669, 664, 110257, 14775, 613, 129195, 934, 15, 129195, 735, 15, 530, 10912, 139851, 15, 11594, 1800, 1119, 61307, 361, 23346, 530, 5854, 361, 17527, 24955, 530, 10428, 17, 1387, 14775, 9313, 4291, 14570, 2152, 16947, 368, 26143, 461, 368, 19662, 6134, 114780, 15, 530, 267, 5334, 461, 119051, 861, 6507, 368, 40045, 18710, 664, 11089, 26702, 1306, 3466, 6610, 24740, 17, 1387, 5025, 40420, 66633, 1485, 368, 114780, 2152, 3466, 2123, 427, 5783, 3808, 26702, 17, 12018, 368, 14775, 25402, 67606, 12312, 2494, 20, 12, 110874, 17871, 620, 59387, 28141, 1004, 267, 47936, 49030, 7150, 4618, 368, 8431, 461, 49030, 632, 95899, 35179, 15, 368, 2600, 461, 368, 21086, 9313, 36596, 1809, 267, 3793, 18003, 427, 34071, 24789, 17, 1004, 267, 14775, 861, 42594, 6426, 71027, 17871, 38651, 15, 368, 36938, 772, 461, 135265, 9066, 530, 71135, 92711, 198440, 1306, 319, 13762, 15564, 427, 13842, 267, 2084, 9482, 461, 49030, 11705, 15397, 6880, 361, 267, 10031, 14775, 17, 202759, 664, 368, 71027, 17871, 11118, 15, 1152, 1400, 37025, 76765, 530, 79296, 791, 45578, 368, 7565, 256, 7160, 37673, 17, 1387, 21086, 9313, 22876, 20529, 368, 14810, 461, 49030, 361, 267, 9160, 4676, 17, 3904, 632, 135265, 9066, 361, 267, 2084, 2070, 2494, 21, 12, 35585, 199265, 76361, 12879, 530, 84774, 8970, 52329, 203412, 32841, 525, 1400, 5219, 12229, 2971, 461, 368, 35585, 199265, 76361, 196907, 427, 60991, 105868, 10515, 368, 60614, 530, 49030, 7565, 703, 6149, 105311, 66673, 29, 2127, 103115, 33, 16111, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 19428, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 20089, 14614, 135339, 1519, 530, 194146, 42086, 1542, 35332, 3968, 15321, 530, 6426, 88076, 14844, 74851, 211808, 461, 3776, 174669, 664, 110257, 14775, 613, 129195, 934, 15, 129195, 735, 15, 530, 10912, 139851, 15, 11594, 1800, 1119, 61307, 361, 23346, 530, 5854, 361, 17527, 24955, 530, 10428, 17, 1387, 14775, 9313, 4291, 14570, 2152, 16947, 368, 26143, 461, 368, 19662, 6134, 114780, 15, 530, 267, 5334, 461, 119051, 861, 6507, 368, 40045, 18710, 664, 11089, 26702, 1306, 3466, 6610, 24740, 17, 1387, 5025, 40420, 66633, 1485, 368, 114780, 2152, 3466, 2123, 427, 5783, 3808, 26702, 17, 12018, 368, 14775, 25402, 67606, 12312, 2494, 20, 12, 110874, 17871, 620, 59387, 28141, 1004, 267, 47936, 49030, 7150, 4618, 368, 8431, 461, 49030, 632, 95899, 35179, 15, 368, 2600, 461, 368, 21086, 9313, 36596, 1809, 267, 3793, 18003, 427, 34071, 24789, 17, 1004, 267, 14775, 861, 42594, 6426, 71027, 17871, 38651, 15, 368, 36938, 772, 461, 135265, 9066, 530, 71135, 92711, 198440, 1306, 319, 13762, 15564, 427, 13842, 267, 2084, 9482, 461, 49030, 11705, 15397, 6880, 361, 267, 10031, 14775, 17, 202759, 664, 368, 71027, 17871, 11118, 15, 1152, 1400, 37025, 76765, 530, 79296, 791, 45578, 368, 7565, 256, 7160, 37673, 17, 1387, 21086, 9313, 22876, 20529, 368, 14810, 461, 49030, 361, 267, 9160, 4676, 17, 3904, 632, 135265, 9066, 361, 267, 2084, 2070, 2494, 21, 12, 35585, 199265, 76361, 12879, 530, 84774, 8970, 52329, 203412, 32841, 525, 1400, 5219, 12229, 2971, 461, 368, 35585, 199265, 76361, 196907, 427, 60991, 105868, 10515, 368, 60614, 530, 49030, 7565, 703, 6149, 105311, 66673, 29, 2127, 103115, 33, 34955, 119456, 5, 15, 24486, 6709, 24955, 5, 15, 567, 23623, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 28712, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 20089, 14614, 135339, 1519, 530, 194146, 42086, 1542, 35332, 3968, 15321, 530, 6426, 88076, 14844, 74851, 211808, 461, 3776, 174669, 664, 110257, 14775, 613, 129195, 934, 15, 129195, 735, 15, 530, 10912, 139851, 15, 11594, 1800, 1119, 61307, 361, 23346, 530, 5854, 361, 17527, 24955, 530, 10428, 17, 1387, 14775, 9313, 4291, 14570, 2152, 16947, 368, 26143, 461, 368, 19662, 6134, 114780, 15, 530, 267, 5334, 461, 119051, 861, 6507, 368, 40045, 18710, 664, 11089, 26702, 1306, 3466, 6610, 24740, 17, 1387, 5025, 40420, 66633, 1485, 368, 114780, 2152, 3466, 2123, 427, 5783, 3808, 26702, 17, 12018, 368, 14775, 25402, 67606, 12312, 2494, 20, 12, 110874, 17871, 620, 59387, 28141, 1004, 267, 47936, 49030, 7150, 4618, 368, 8431, 461, 49030, 632, 95899, 35179, 15, 368, 2600, 461, 368, 21086, 9313, 36596, 1809, 267, 3793, 18003, 427, 34071, 24789, 17, 1004, 267, 14775, 861, 42594, 6426, 71027, 17871, 38651, 15, 368, 36938, 772, 461, 135265, 9066, 530, 71135, 92711, 198440, 1306, 319, 13762, 15564, 427, 13842, 267, 2084, 9482, 461, 49030, 11705, 15397, 6880, 361, 267, 10031, 14775, 17, 202759, 664, 368, 71027, 17871, 11118, 15, 1152, 1400, 37025, 76765, 530, 79296, 791, 45578, 368, 7565, 256, 7160, 37673, 17, 1387, 21086, 9313, 22876, 20529, 368, 14810, 461, 49030, 361, 267, 9160, 4676, 17, 3904, 632, 135265, 9066, 361, 267, 2084, 2070, 2494, 21, 12, 35585, 199265, 76361, 12879, 530, 84774, 8970, 52329, 203412, 32841, 525, 1400, 5219, 12229, 2971, 461, 368, 35585, 199265, 76361, 196907, 427, 60991, 105868, 10515, 368, 60614, 530, 49030, 7565, 703, 6149, 105311, 66673, 29, 2127, 103115, 33, 34955, 49577, 66633, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 6036, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 20089, 14614, 135339, 1519, 530, 194146, 42086, 1542, 35332, 3968, 15321, 530, 6426, 88076, 14844, 74851, 211808, 461, 3776, 174669, 664, 110257, 14775, 613, 129195, 934, 15, 129195, 735, 15, 530, 10912, 139851, 15, 11594, 1800, 1119, 61307, 361, 23346, 530, 5854, 361, 17527, 24955, 530, 10428, 17, 1387, 14775, 9313, 4291, 14570, 2152, 16947, 368, 26143, 461, 368, 19662, 6134, 114780, 15, 530, 267, 5334, 461, 119051, 861, 6507, 368, 40045, 18710, 664, 11089, 26702, 1306, 3466, 6610, 24740, 17, 1387, 5025, 40420, 66633, 1485, 368, 114780, 2152, 3466, 2123, 427, 5783, 3808, 26702, 17, 12018, 368, 14775, 25402, 67606, 12312, 2494, 20, 12, 110874, 17871, 620, 59387, 28141, 1004, 267, 47936, 49030, 7150, 4618, 368, 8431, 461, 49030, 632, 95899, 35179, 15, 368, 2600, 461, 368, 21086, 9313, 36596, 1809, 267, 3793, 18003, 427, 34071, 24789, 17, 1004, 267, 14775, 861, 42594, 6426, 71027, 17871, 38651, 15, 368, 36938, 772, 461, 135265, 9066, 530, 71135, 92711, 198440, 1306, 319, 13762, 15564, 427, 13842, 267, 2084, 9482, 461, 49030, 11705, 15397, 6880, 361, 267, 10031, 14775, 17, 202759, 664, 368, 71027, 17871, 11118, 15, 1152, 1400, 37025, 76765, 530, 79296, 791, 45578, 368, 7565, 256, 7160, 37673, 17, 1387, 21086, 9313, 22876, 20529, 368, 14810, 461, 49030, 361, 267, 9160, 4676, 17, 3904, 632, 135265, 9066, 361, 267, 2084, 2070, 2494, 21, 12, 35585, 199265, 76361, 12879, 530, 84774, 8970, 52329, 203412, 32841, 525, 1400, 5219, 12229, 2971, 461, 368, 35585, 199265, 76361, 196907, 427, 60991, 105868, 10515, 368, 60614, 530, 49030, 7565, 703, 6149, 105311, 66673, 29, 2127, 103115, 33, 34955, 200431, 200755, 15, 567, 200431, 135615, 15, 567, 9043, 139851, 5, 15, 567, 31339, 199265, 76361, 196907, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 10421, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 20089, 14614, 135339, 1519, 530, 194146, 42086, 1542, 35332, 3968, 15321, 530, 6426, 88076, 14844, 74851, 211808, 461, 3776, 174669, 664, 110257, 14775, 613, 129195, 934, 15, 129195, 735, 15, 530, 10912, 139851, 15, 11594, 1800, 1119, 61307, 361, 23346, 530, 5854, 361, 17527, 24955, 530, 10428, 17, 1387, 14775, 9313, 4291, 14570, 2152, 16947, 368, 26143, 461, 368, 19662, 6134, 114780, 15, 530, 267, 5334, 461, 119051, 861, 6507, 368, 40045, 18710, 664, 11089, 26702, 1306, 3466, 6610, 24740, 17, 1387, 5025, 40420, 66633, 1485, 368, 114780, 2152, 3466, 2123, 427, 5783, 3808, 26702, 17, 12018, 368, 14775, 25402, 67606, 12312, 2494, 20, 12, 110874, 17871, 620, 59387, 28141, 1004, 267, 47936, 49030, 7150, 4618, 368, 8431, 461, 49030, 632, 95899, 35179, 15, 368, 2600, 461, 368, 21086, 9313, 36596, 1809, 267, 3793, 18003, 427, 34071, 24789, 17, 1004, 267, 14775, 861, 42594, 6426, 71027, 17871, 38651, 15, 368, 36938, 772, 461, 135265, 9066, 530, 71135, 92711, 198440, 1306, 319, 13762, 15564, 427, 13842, 267, 2084, 9482, 461, 49030, 11705, 15397, 6880, 361, 267, 10031, 14775, 17, 202759, 664, 368, 71027, 17871, 11118, 15, 1152, 1400, 37025, 76765, 530, 79296, 791, 45578, 368, 7565, 256, 7160, 37673, 17, 1387, 21086, 9313, 22876, 20529, 368, 14810, 461, 49030, 361, 267, 9160, 4676, 17, 3904, 632, 135265, 9066, 361, 267, 2084, 2070, 2494, 21, 12, 35585, 199265, 76361, 12879, 530, 84774, 8970, 52329, 203412, 32841, 525, 1400, 5219, 12229, 2971, 461, 368, 35585, 199265, 76361, 196907, 427, 60991, 105868, 10515, 368, 60614, 530, 49030, 7565, 703, 6149, 105311, 66673, 29, 2127, 103115, 33, 16111, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 41846, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 20089, 14614, 135339, 1519, 530, 194146, 42086, 1542, 35332, 3968, 15321, 530, 6426, 88076, 14844, 74851, 211808, 461, 3776, 174669, 664, 110257, 14775, 613, 129195, 934, 15, 129195, 735, 15, 530, 10912, 139851, 15, 11594, 1800, 1119, 61307, 361, 23346, 530, 5854, 361, 17527, 24955, 530, 10428, 17, 1387, 14775, 9313, 4291, 14570, 2152, 16947, 368, 26143, 461, 368, 19662, 6134, 114780, 15, 530, 267, 5334, 461, 119051, 861, 6507, 368, 40045, 18710, 664, 11089, 26702, 1306, 3466, 6610, 24740, 17, 1387, 5025, 40420, 66633, 1485, 368, 114780, 2152, 3466, 2123, 427, 5783, 3808, 26702, 17, 12018, 368, 14775, 25402, 67606, 12312, 2494, 20, 12, 110874, 17871, 620, 59387, 28141, 1004, 267, 47936, 49030, 7150, 4618, 368, 8431, 461, 49030, 632, 95899, 35179, 15, 368, 2600, 461, 368, 21086, 9313, 36596, 1809, 267, 3793, 18003, 427, 34071, 24789, 17, 1004, 267, 14775, 861, 42594, 6426, 71027, 17871, 38651, 15, 368, 36938, 772, 461, 135265, 9066, 530, 71135, 92711, 198440, 1306, 319, 13762, 15564, 427, 13842, 267, 2084, 9482, 461, 49030, 11705, 15397, 6880, 361, 267, 10031, 14775, 17, 202759, 664, 368, 71027, 17871, 11118, 15, 1152, 1400, 37025, 76765, 530, 79296, 791, 45578, 368, 7565, 256, 7160, 37673, 17, 1387, 21086, 9313, 22876, 20529, 368, 14810, 461, 49030, 361, 267, 9160, 4676, 17, 3904, 632, 135265, 9066, 361, 267, 2084, 2070, 2494, 21, 12, 35585, 199265, 76361, 12879, 530, 84774, 8970, 52329, 203412, 32841, 525, 1400, 5219, 12229, 2971, 461, 368, 35585, 199265, 76361, 196907, 427, 60991, 105868, 10515, 368, 60614, 530, 49030, 7565, 703, 6149, 105311, 66673, 29, 2127, 103115, 33, 1111, 17041, 82, 14614, 135339, 1519, 5, 15, 34489, 46825, 42086, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 252, 2353, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 20089, 14614, 135339, 1519, 530, 194146, 42086, 1542, 35332, 3968, 15321, 530, 6426, 88076, 14844, 74851, 211808, 461, 3776, 174669, 664, 110257, 14775, 613, 129195, 934, 15, 129195, 735, 15, 530, 10912, 139851, 15, 11594, 1800, 1119, 61307, 361, 23346, 530, 5854, 361, 17527, 24955, 530, 10428, 17, 1387, 14775, 9313, 4291, 14570, 2152, 16947, 368, 26143, 461, 368, 19662, 6134, 114780, 15, 530, 267, 5334, 461, 119051, 861, 6507, 368, 40045, 18710, 664, 11089, 26702, 1306, 3466, 6610, 24740, 17, 1387, 5025, 40420, 66633, 1485, 368, 114780, 2152, 3466, 2123, 427, 5783, 3808, 26702, 17, 12018, 368, 14775, 25402, 67606, 12312, 2494, 20, 12, 110874, 17871, 620, 59387, 28141, 1004, 267, 47936, 49030, 7150, 4618, 368, 8431, 461, 49030, 632, 95899, 35179, 15, 368, 2600, 461, 368, 21086, 9313, 36596, 1809, 267, 3793, 18003, 427, 34071, 24789, 17, 1004, 267, 14775, 861, 42594, 6426, 71027, 17871, 38651, 15, 368, 36938, 772, 461, 135265, 9066, 530, 71135, 92711, 198440, 1306, 319, 13762, 15564, 427, 13842, 267, 2084, 9482, 461, 49030, 11705, 15397, 6880, 361, 267, 10031, 14775, 17, 202759, 664, 368, 71027, 17871, 11118, 15, 1152, 1400, 37025, 76765, 530, 79296, 791, 45578, 368, 7565, 256, 7160, 37673, 17, 1387, 21086, 9313, 22876, 20529, 368, 14810, 461, 49030, 361, 267, 9160, 4676, 17, 3904, 632, 135265, 9066, 361, 267, 2084, 2070, 2494, 21, 12, 35585, 199265, 76361, 12879, 530, 84774, 8970, 52329, 203412, 32841, 525, 1400, 5219, 12229, 2971, 461, 368, 35585, 199265, 76361, 196907, 427, 60991, 105868, 10515, 368, 60614, 530, 49030, 7565, 703, 6149, 105311, 66673, 29, 2127, 103115, 33, 16111, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 3509, 9335, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 143845, 461, 84424, 326, 1738, 664, 19302, 530, 664, 34001, 107376, 191964, 361, 4085, 104537, 461, 59305, 17, 35202, 104537, 461, 59305, 375, 38, 7021, 14274, 21030, 45, 530, 524, 15944, 5171, 45, 12, 3121, 4853, 427, 28392, 368, 22886, 461, 10546, 530, 15289, 31385, 940, 461, 84424, 326, 1738, 664, 7792, 6608, 19302, 530, 664, 34001, 107376, 191964, 17, 5070, 368, 524, 15944, 73397, 15, 368, 11824, 67451, 461, 84424, 326, 1738, 29631, 660, 132520, 529, 461, 202950, 19131, 19302, 17, 22652, 1392, 41511, 31385, 940, 15, 19302, 24279, 427, 861, 461, 40843, 17, 5070, 368, 405, 7021, 73397, 15, 368, 11824, 67451, 29631, 267, 32584, 18552, 361, 19302, 2131, 28897, 3172, 141462, 4731, 13996, 41511, 31385, 940, 17, 17010, 1026, 989, 1943, 106262, 39482, 1620, 125033, 361, 168506, 461, 524, 15944, 59305, 43639, 8920, 59143, 427, 84424, 326, 1738, 17, 3904, 6416, 1620, 1130, 24568, 361, 405, 7021, 59305, 11895, 361, 10764, 73397, 121980, 3804, 14275, 1002, 368, 23811, 17, 5663, 68622, 265, 39482, 1620, 1130, 115254, 361, 30234, 461, 10764, 73397, 14600, 997, 196492, 791, 43639, 8920, 59143, 427, 84424, 326, 1738, 17, 1387, 9649, 461, 1119, 12589, 12580, 29, 404, 12, 861, 19302, 7458, 6747, 84424, 326, 1738, 31385, 940, 632, 52996, 14591, 67652, 27568, 530, 14951, 24575, 1002, 368, 23811, 30, 415, 12, 861, 368, 103919, 195002, 427, 368, 23811, 29631, 110335, 1965, 1130, 44629, 361, 19302, 30, 530, 735, 12, 861, 95480, 56615, 427, 368, 23811, 1400, 18755, 655, 11895, 1026, 989, 1943, 106262, 39482, 361, 368, 168506, 461, 524, 15944, 59305, 6149, 105311, 66673, 29, 2127, 103115, 33, 16111, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 5048, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 143845, 461, 84424, 326, 1738, 664, 19302, 530, 664, 34001, 107376, 191964, 361, 4085, 104537, 461, 59305, 17, 35202, 104537, 461, 59305, 375, 38, 7021, 14274, 21030, 45, 530, 524, 15944, 5171, 45, 12, 3121, 4853, 427, 28392, 368, 22886, 461, 10546, 530, 15289, 31385, 940, 461, 84424, 326, 1738, 664, 7792, 6608, 19302, 530, 664, 34001, 107376, 191964, 17, 5070, 368, 524, 15944, 73397, 15, 368, 11824, 67451, 461, 84424, 326, 1738, 29631, 660, 132520, 529, 461, 202950, 19131, 19302, 17, 22652, 1392, 41511, 31385, 940, 15, 19302, 24279, 427, 861, 461, 40843, 17, 5070, 368, 405, 7021, 73397, 15, 368, 11824, 67451, 29631, 267, 32584, 18552, 361, 19302, 2131, 28897, 3172, 141462, 4731, 13996, 41511, 31385, 940, 17, 17010, 1026, 989, 1943, 106262, 39482, 1620, 125033, 361, 168506, 461, 524, 15944, 59305, 43639, 8920, 59143, 427, 84424, 326, 1738, 17, 3904, 6416, 1620, 1130, 24568, 361, 405, 7021, 59305, 11895, 361, 10764, 73397, 121980, 3804, 14275, 1002, 368, 23811, 17, 5663, 68622, 265, 39482, 1620, 1130, 115254, 361, 30234, 461, 10764, 73397, 14600, 997, 196492, 791, 43639, 8920, 59143, 427, 84424, 326, 1738, 17, 1387, 9649, 461, 1119, 12589, 12580, 29, 404, 12, 861, 19302, 7458, 6747, 84424, 326, 1738, 31385, 940, 632, 52996, 14591, 67652, 27568, 530, 14951, 24575, 1002, 368, 23811, 30, 415, 12, 861, 368, 103919, 195002, 427, 368, 23811, 29631, 110335, 1965, 1130, 44629, 361, 19302, 30, 530, 735, 12, 861, 95480, 56615, 427, 368, 23811, 1400, 18755, 655, 11895, 1026, 989, 1943, 106262, 39482, 361, 368, 168506, 461, 524, 15944, 59305, 6149, 105311, 66673, 29, 2127, 103115, 33, 34955, 26814, 198568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 9361, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 143845, 461, 84424, 326, 1738, 664, 19302, 530, 664, 34001, 107376, 191964, 361, 4085, 104537, 461, 59305, 17, 35202, 104537, 461, 59305, 375, 38, 7021, 14274, 21030, 45, 530, 524, 15944, 5171, 45, 12, 3121, 4853, 427, 28392, 368, 22886, 461, 10546, 530, 15289, 31385, 940, 461, 84424, 326, 1738, 664, 7792, 6608, 19302, 530, 664, 34001, 107376, 191964, 17, 5070, 368, 524, 15944, 73397, 15, 368, 11824, 67451, 461, 84424, 326, 1738, 29631, 660, 132520, 529, 461, 202950, 19131, 19302, 17, 22652, 1392, 41511, 31385, 940, 15, 19302, 24279, 427, 861, 461, 40843, 17, 5070, 368, 405, 7021, 73397, 15, 368, 11824, 67451, 29631, 267, 32584, 18552, 361, 19302, 2131, 28897, 3172, 141462, 4731, 13996, 41511, 31385, 940, 17, 17010, 1026, 989, 1943, 106262, 39482, 1620, 125033, 361, 168506, 461, 524, 15944, 59305, 43639, 8920, 59143, 427, 84424, 326, 1738, 17, 3904, 6416, 1620, 1130, 24568, 361, 405, 7021, 59305, 11895, 361, 10764, 73397, 121980, 3804, 14275, 1002, 368, 23811, 17, 5663, 68622, 265, 39482, 1620, 1130, 115254, 361, 30234, 461, 10764, 73397, 14600, 997, 196492, 791, 43639, 8920, 59143, 427, 84424, 326, 1738, 17, 1387, 9649, 461, 1119, 12589, 12580, 29, 404, 12, 861, 19302, 7458, 6747, 84424, 326, 1738, 31385, 940, 632, 52996, 14591, 67652, 27568, 530, 14951, 24575, 1002, 368, 23811, 30, 415, 12, 861, 368, 103919, 195002, 427, 368, 23811, 29631, 110335, 1965, 1130, 44629, 361, 19302, 30, 530, 735, 12, 861, 95480, 56615, 427, 368, 23811, 1400, 18755, 655, 11895, 1026, 989, 1943, 106262, 39482, 361, 368, 168506, 461, 524, 15944, 59305, 6149, 105311, 66673, 29, 2127, 103115, 33, 16111, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 25113, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 143845, 461, 84424, 326, 1738, 664, 19302, 530, 664, 34001, 107376, 191964, 361, 4085, 104537, 461, 59305, 17, 35202, 104537, 461, 59305, 375, 38, 7021, 14274, 21030, 45, 530, 524, 15944, 5171, 45, 12, 3121, 4853, 427, 28392, 368, 22886, 461, 10546, 530, 15289, 31385, 940, 461, 84424, 326, 1738, 664, 7792, 6608, 19302, 530, 664, 34001, 107376, 191964, 17, 5070, 368, 524, 15944, 73397, 15, 368, 11824, 67451, 461, 84424, 326, 1738, 29631, 660, 132520, 529, 461, 202950, 19131, 19302, 17, 22652, 1392, 41511, 31385, 940, 15, 19302, 24279, 427, 861, 461, 40843, 17, 5070, 368, 405, 7021, 73397, 15, 368, 11824, 67451, 29631, 267, 32584, 18552, 361, 19302, 2131, 28897, 3172, 141462, 4731, 13996, 41511, 31385, 940, 17, 17010, 1026, 989, 1943, 106262, 39482, 1620, 125033, 361, 168506, 461, 524, 15944, 59305, 43639, 8920, 59143, 427, 84424, 326, 1738, 17, 3904, 6416, 1620, 1130, 24568, 361, 405, 7021, 59305, 11895, 361, 10764, 73397, 121980, 3804, 14275, 1002, 368, 23811, 17, 5663, 68622, 265, 39482, 1620, 1130, 115254, 361, 30234, 461, 10764, 73397, 14600, 997, 196492, 791, 43639, 8920, 59143, 427, 84424, 326, 1738, 17, 1387, 9649, 461, 1119, 12589, 12580, 29, 404, 12, 861, 19302, 7458, 6747, 84424, 326, 1738, 31385, 940, 632, 52996, 14591, 67652, 27568, 530, 14951, 24575, 1002, 368, 23811, 30, 415, 12, 861, 368, 103919, 195002, 427, 368, 23811, 29631, 110335, 1965, 1130, 44629, 361, 19302, 30, 530, 735, 12, 861, 95480, 56615, 427, 368, 23811, 1400, 18755, 655, 11895, 1026, 989, 1943, 106262, 39482, 361, 368, 168506, 461, 524, 15944, 59305, 6149, 105311, 66673, 29, 2127, 103115, 33, 16111, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 19302, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 143845, 461, 84424, 326, 1738, 664, 19302, 530, 664, 34001, 107376, 191964, 361, 4085, 104537, 461, 59305, 17, 35202, 104537, 461, 59305, 375, 38, 7021, 14274, 21030, 45, 530, 524, 15944, 5171, 45, 12, 3121, 4853, 427, 28392, 368, 22886, 461, 10546, 530, 15289, 31385, 940, 461, 84424, 326, 1738, 664, 7792, 6608, 19302, 530, 664, 34001, 107376, 191964, 17, 5070, 368, 524, 15944, 73397, 15, 368, 11824, 67451, 461, 84424, 326, 1738, 29631, 660, 132520, 529, 461, 202950, 19131, 19302, 17, 22652, 1392, 41511, 31385, 940, 15, 19302, 24279, 427, 861, 461, 40843, 17, 5070, 368, 405, 7021, 73397, 15, 368, 11824, 67451, 29631, 267, 32584, 18552, 361, 19302, 2131, 28897, 3172, 141462, 4731, 13996, 41511, 31385, 940, 17, 17010, 1026, 989, 1943, 106262, 39482, 1620, 125033, 361, 168506, 461, 524, 15944, 59305, 43639, 8920, 59143, 427, 84424, 326, 1738, 17, 3904, 6416, 1620, 1130, 24568, 361, 405, 7021, 59305, 11895, 361, 10764, 73397, 121980, 3804, 14275, 1002, 368, 23811, 17, 5663, 68622, 265, 39482, 1620, 1130, 115254, 361, 30234, 461, 10764, 73397, 14600, 997, 196492, 791, 43639, 8920, 59143, 427, 84424, 326, 1738, 17, 1387, 9649, 461, 1119, 12589, 12580, 29, 404, 12, 861, 19302, 7458, 6747, 84424, 326, 1738, 31385, 940, 632, 52996, 14591, 67652, 27568, 530, 14951, 24575, 1002, 368, 23811, 30, 415, 12, 861, 368, 103919, 195002, 427, 368, 23811, 29631, 110335, 1965, 1130, 44629, 361, 19302, 30, 530, 735, 12, 861, 95480, 56615, 427, 368, 23811, 1400, 18755, 655, 11895, 1026, 989, 1943, 106262, 39482, 361, 368, 168506, 461, 524, 15944, 59305, 6149, 105311, 66673, 29, 2127, 103115, 33, 34955, 6212, 333, 19131, 19302, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 34001, 107376, 49182, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 143845, 461, 84424, 326, 1738, 664, 19302, 530, 664, 34001, 107376, 191964, 361, 4085, 104537, 461, 59305, 17, 35202, 104537, 461, 59305, 375, 38, 7021, 14274, 21030, 45, 530, 524, 15944, 5171, 45, 12, 3121, 4853, 427, 28392, 368, 22886, 461, 10546, 530, 15289, 31385, 940, 461, 84424, 326, 1738, 664, 7792, 6608, 19302, 530, 664, 34001, 107376, 191964, 17, 5070, 368, 524, 15944, 73397, 15, 368, 11824, 67451, 461, 84424, 326, 1738, 29631, 660, 132520, 529, 461, 202950, 19131, 19302, 17, 22652, 1392, 41511, 31385, 940, 15, 19302, 24279, 427, 861, 461, 40843, 17, 5070, 368, 405, 7021, 73397, 15, 368, 11824, 67451, 29631, 267, 32584, 18552, 361, 19302, 2131, 28897, 3172, 141462, 4731, 13996, 41511, 31385, 940, 17, 17010, 1026, 989, 1943, 106262, 39482, 1620, 125033, 361, 168506, 461, 524, 15944, 59305, 43639, 8920, 59143, 427, 84424, 326, 1738, 17, 3904, 6416, 1620, 1130, 24568, 361, 405, 7021, 59305, 11895, 361, 10764, 73397, 121980, 3804, 14275, 1002, 368, 23811, 17, 5663, 68622, 265, 39482, 1620, 1130, 115254, 361, 30234, 461, 10764, 73397, 14600, 997, 196492, 791, 43639, 8920, 59143, 427, 84424, 326, 1738, 17, 1387, 9649, 461, 1119, 12589, 12580, 29, 404, 12, 861, 19302, 7458, 6747, 84424, 326, 1738, 31385, 940, 632, 52996, 14591, 67652, 27568, 530, 14951, 24575, 1002, 368, 23811, 30, 415, 12, 861, 368, 103919, 195002, 427, 368, 23811, 29631, 110335, 1965, 1130, 44629, 361, 19302, 30, 530, 735, 12, 861, 95480, 56615, 427, 368, 23811, 1400, 18755, 655, 11895, 1026, 989, 1943, 106262, 39482, 361, 368, 168506, 461, 524, 15944, 59305, 6149, 105311, 66673, 29, 2127, 103115, 33, 34955, 111394, 1026, 989, 1943, 106262, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 19744, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 143845, 461, 84424, 326, 1738, 664, 19302, 530, 664, 34001, 107376, 191964, 361, 4085, 104537, 461, 59305, 17, 35202, 104537, 461, 59305, 375, 38, 7021, 14274, 21030, 45, 530, 524, 15944, 5171, 45, 12, 3121, 4853, 427, 28392, 368, 22886, 461, 10546, 530, 15289, 31385, 940, 461, 84424, 326, 1738, 664, 7792, 6608, 19302, 530, 664, 34001, 107376, 191964, 17, 5070, 368, 524, 15944, 73397, 15, 368, 11824, 67451, 461, 84424, 326, 1738, 29631, 660, 132520, 529, 461, 202950, 19131, 19302, 17, 22652, 1392, 41511, 31385, 940, 15, 19302, 24279, 427, 861, 461, 40843, 17, 5070, 368, 405, 7021, 73397, 15, 368, 11824, 67451, 29631, 267, 32584, 18552, 361, 19302, 2131, 28897, 3172, 141462, 4731, 13996, 41511, 31385, 940, 17, 17010, 1026, 989, 1943, 106262, 39482, 1620, 125033, 361, 168506, 461, 524, 15944, 59305, 43639, 8920, 59143, 427, 84424, 326, 1738, 17, 3904, 6416, 1620, 1130, 24568, 361, 405, 7021, 59305, 11895, 361, 10764, 73397, 121980, 3804, 14275, 1002, 368, 23811, 17, 5663, 68622, 265, 39482, 1620, 1130, 115254, 361, 30234, 461, 10764, 73397, 14600, 997, 196492, 791, 43639, 8920, 59143, 427, 84424, 326, 1738, 17, 1387, 9649, 461, 1119, 12589, 12580, 29, 404, 12, 861, 19302, 7458, 6747, 84424, 326, 1738, 31385, 940, 632, 52996, 14591, 67652, 27568, 530, 14951, 24575, 1002, 368, 23811, 30, 415, 12, 861, 368, 103919, 195002, 427, 368, 23811, 29631, 110335, 1965, 1130, 44629, 361, 19302, 30, 530, 735, 12, 861, 95480, 56615, 427, 368, 23811, 1400, 18755, 655, 11895, 1026, 989, 1943, 106262, 39482, 361, 368, 168506, 461, 524, 15944, 59305, 6149, 105311, 66673, 29, 2127, 103115, 33, 34955, 6855, 20696, 27568, 5, 15, 567, 101011, 24575, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 3539, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 143845, 461, 84424, 326, 1738, 664, 19302, 530, 664, 34001, 107376, 191964, 361, 4085, 104537, 461, 59305, 17, 35202, 104537, 461, 59305, 375, 38, 7021, 14274, 21030, 45, 530, 524, 15944, 5171, 45, 12, 3121, 4853, 427, 28392, 368, 22886, 461, 10546, 530, 15289, 31385, 940, 461, 84424, 326, 1738, 664, 7792, 6608, 19302, 530, 664, 34001, 107376, 191964, 17, 5070, 368, 524, 15944, 73397, 15, 368, 11824, 67451, 461, 84424, 326, 1738, 29631, 660, 132520, 529, 461, 202950, 19131, 19302, 17, 22652, 1392, 41511, 31385, 940, 15, 19302, 24279, 427, 861, 461, 40843, 17, 5070, 368, 405, 7021, 73397, 15, 368, 11824, 67451, 29631, 267, 32584, 18552, 361, 19302, 2131, 28897, 3172, 141462, 4731, 13996, 41511, 31385, 940, 17, 17010, 1026, 989, 1943, 106262, 39482, 1620, 125033, 361, 168506, 461, 524, 15944, 59305, 43639, 8920, 59143, 427, 84424, 326, 1738, 17, 3904, 6416, 1620, 1130, 24568, 361, 405, 7021, 59305, 11895, 361, 10764, 73397, 121980, 3804, 14275, 1002, 368, 23811, 17, 5663, 68622, 265, 39482, 1620, 1130, 115254, 361, 30234, 461, 10764, 73397, 14600, 997, 196492, 791, 43639, 8920, 59143, 427, 84424, 326, 1738, 17, 1387, 9649, 461, 1119, 12589, 12580, 29, 404, 12, 861, 19302, 7458, 6747, 84424, 326, 1738, 31385, 940, 632, 52996, 14591, 67652, 27568, 530, 14951, 24575, 1002, 368, 23811, 30, 415, 12, 861, 368, 103919, 195002, 427, 368, 23811, 29631, 110335, 1965, 1130, 44629, 361, 19302, 30, 530, 735, 12, 861, 95480, 56615, 427, 368, 23811, 1400, 18755, 655, 11895, 1026, 989, 1943, 106262, 39482, 361, 368, 168506, 461, 524, 15944, 59305, 6149, 105311, 66673, 29, 2127, 103115, 33, 34955, 22832, 1435, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 6416, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 143845, 461, 84424, 326, 1738, 664, 19302, 530, 664, 34001, 107376, 191964, 361, 4085, 104537, 461, 59305, 17, 35202, 104537, 461, 59305, 375, 38, 7021, 14274, 21030, 45, 530, 524, 15944, 5171, 45, 12, 3121, 4853, 427, 28392, 368, 22886, 461, 10546, 530, 15289, 31385, 940, 461, 84424, 326, 1738, 664, 7792, 6608, 19302, 530, 664, 34001, 107376, 191964, 17, 5070, 368, 524, 15944, 73397, 15, 368, 11824, 67451, 461, 84424, 326, 1738, 29631, 660, 132520, 529, 461, 202950, 19131, 19302, 17, 22652, 1392, 41511, 31385, 940, 15, 19302, 24279, 427, 861, 461, 40843, 17, 5070, 368, 405, 7021, 73397, 15, 368, 11824, 67451, 29631, 267, 32584, 18552, 361, 19302, 2131, 28897, 3172, 141462, 4731, 13996, 41511, 31385, 940, 17, 17010, 1026, 989, 1943, 106262, 39482, 1620, 125033, 361, 168506, 461, 524, 15944, 59305, 43639, 8920, 59143, 427, 84424, 326, 1738, 17, 3904, 6416, 1620, 1130, 24568, 361, 405, 7021, 59305, 11895, 361, 10764, 73397, 121980, 3804, 14275, 1002, 368, 23811, 17, 5663, 68622, 265, 39482, 1620, 1130, 115254, 361, 30234, 461, 10764, 73397, 14600, 997, 196492, 791, 43639, 8920, 59143, 427, 84424, 326, 1738, 17, 1387, 9649, 461, 1119, 12589, 12580, 29, 404, 12, 861, 19302, 7458, 6747, 84424, 326, 1738, 31385, 940, 632, 52996, 14591, 67652, 27568, 530, 14951, 24575, 1002, 368, 23811, 30, 415, 12, 861, 368, 103919, 195002, 427, 368, 23811, 29631, 110335, 1965, 1130, 44629, 361, 19302, 30, 530, 735, 12, 861, 95480, 56615, 427, 368, 23811, 1400, 18755, 655, 11895, 1026, 989, 1943, 106262, 39482, 361, 368, 168506, 461, 524, 15944, 59305, 6149, 105311, 66673, 29, 2127, 103115, 33, 34955, 87, 188582, 5, 15, 567, 139776, 8080, 5, 15, 567, 43781, 7458, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 10421, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 143845, 461, 84424, 326, 1738, 664, 19302, 530, 664, 34001, 107376, 191964, 361, 4085, 104537, 461, 59305, 17, 35202, 104537, 461, 59305, 375, 38, 7021, 14274, 21030, 45, 530, 524, 15944, 5171, 45, 12, 3121, 4853, 427, 28392, 368, 22886, 461, 10546, 530, 15289, 31385, 940, 461, 84424, 326, 1738, 664, 7792, 6608, 19302, 530, 664, 34001, 107376, 191964, 17, 5070, 368, 524, 15944, 73397, 15, 368, 11824, 67451, 461, 84424, 326, 1738, 29631, 660, 132520, 529, 461, 202950, 19131, 19302, 17, 22652, 1392, 41511, 31385, 940, 15, 19302, 24279, 427, 861, 461, 40843, 17, 5070, 368, 405, 7021, 73397, 15, 368, 11824, 67451, 29631, 267, 32584, 18552, 361, 19302, 2131, 28897, 3172, 141462, 4731, 13996, 41511, 31385, 940, 17, 17010, 1026, 989, 1943, 106262, 39482, 1620, 125033, 361, 168506, 461, 524, 15944, 59305, 43639, 8920, 59143, 427, 84424, 326, 1738, 17, 3904, 6416, 1620, 1130, 24568, 361, 405, 7021, 59305, 11895, 361, 10764, 73397, 121980, 3804, 14275, 1002, 368, 23811, 17, 5663, 68622, 265, 39482, 1620, 1130, 115254, 361, 30234, 461, 10764, 73397, 14600, 997, 196492, 791, 43639, 8920, 59143, 427, 84424, 326, 1738, 17, 1387, 9649, 461, 1119, 12589, 12580, 29, 404, 12, 861, 19302, 7458, 6747, 84424, 326, 1738, 31385, 940, 632, 52996, 14591, 67652, 27568, 530, 14951, 24575, 1002, 368, 23811, 30, 415, 12, 861, 368, 103919, 195002, 427, 368, 23811, 29631, 110335, 1965, 1130, 44629, 361, 19302, 30, 530, 735, 12, 861, 95480, 56615, 427, 368, 23811, 1400, 18755, 655, 11895, 1026, 989, 1943, 106262, 39482, 361, 368, 168506, 461, 524, 15944, 59305, 6149, 105311, 66673, 29, 2127, 103115, 33, 16111, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 35184, 73397, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 143845, 461, 84424, 326, 1738, 664, 19302, 530, 664, 34001, 107376, 191964, 361, 4085, 104537, 461, 59305, 17, 35202, 104537, 461, 59305, 375, 38, 7021, 14274, 21030, 45, 530, 524, 15944, 5171, 45, 12, 3121, 4853, 427, 28392, 368, 22886, 461, 10546, 530, 15289, 31385, 940, 461, 84424, 326, 1738, 664, 7792, 6608, 19302, 530, 664, 34001, 107376, 191964, 17, 5070, 368, 524, 15944, 73397, 15, 368, 11824, 67451, 461, 84424, 326, 1738, 29631, 660, 132520, 529, 461, 202950, 19131, 19302, 17, 22652, 1392, 41511, 31385, 940, 15, 19302, 24279, 427, 861, 461, 40843, 17, 5070, 368, 405, 7021, 73397, 15, 368, 11824, 67451, 29631, 267, 32584, 18552, 361, 19302, 2131, 28897, 3172, 141462, 4731, 13996, 41511, 31385, 940, 17, 17010, 1026, 989, 1943, 106262, 39482, 1620, 125033, 361, 168506, 461, 524, 15944, 59305, 43639, 8920, 59143, 427, 84424, 326, 1738, 17, 3904, 6416, 1620, 1130, 24568, 361, 405, 7021, 59305, 11895, 361, 10764, 73397, 121980, 3804, 14275, 1002, 368, 23811, 17, 5663, 68622, 265, 39482, 1620, 1130, 115254, 361, 30234, 461, 10764, 73397, 14600, 997, 196492, 791, 43639, 8920, 59143, 427, 84424, 326, 1738, 17, 1387, 9649, 461, 1119, 12589, 12580, 29, 404, 12, 861, 19302, 7458, 6747, 84424, 326, 1738, 31385, 940, 632, 52996, 14591, 67652, 27568, 530, 14951, 24575, 1002, 368, 23811, 30, 415, 12, 861, 368, 103919, 195002, 427, 368, 23811, 29631, 110335, 1965, 1130, 44629, 361, 19302, 30, 530, 735, 12, 861, 95480, 56615, 427, 368, 23811, 1400, 18755, 655, 11895, 1026, 989, 1943, 106262, 39482, 361, 368, 168506, 461, 524, 15944, 59305, 6149, 105311, 66673, 29, 2127, 103115, 33, 34955, 38, 7021, 14274, 21030, 45, 5, 15, 567, 9472, 36, 5171, 45, 5, 15, 13987, 7021, 5, 15, 567, 9472, 36, 59305, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 2298, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 143845, 461, 84424, 326, 1738, 664, 19302, 530, 664, 34001, 107376, 191964, 361, 4085, 104537, 461, 59305, 17, 35202, 104537, 461, 59305, 375, 38, 7021, 14274, 21030, 45, 530, 524, 15944, 5171, 45, 12, 3121, 4853, 427, 28392, 368, 22886, 461, 10546, 530, 15289, 31385, 940, 461, 84424, 326, 1738, 664, 7792, 6608, 19302, 530, 664, 34001, 107376, 191964, 17, 5070, 368, 524, 15944, 73397, 15, 368, 11824, 67451, 461, 84424, 326, 1738, 29631, 660, 132520, 529, 461, 202950, 19131, 19302, 17, 22652, 1392, 41511, 31385, 940, 15, 19302, 24279, 427, 861, 461, 40843, 17, 5070, 368, 405, 7021, 73397, 15, 368, 11824, 67451, 29631, 267, 32584, 18552, 361, 19302, 2131, 28897, 3172, 141462, 4731, 13996, 41511, 31385, 940, 17, 17010, 1026, 989, 1943, 106262, 39482, 1620, 125033, 361, 168506, 461, 524, 15944, 59305, 43639, 8920, 59143, 427, 84424, 326, 1738, 17, 3904, 6416, 1620, 1130, 24568, 361, 405, 7021, 59305, 11895, 361, 10764, 73397, 121980, 3804, 14275, 1002, 368, 23811, 17, 5663, 68622, 265, 39482, 1620, 1130, 115254, 361, 30234, 461, 10764, 73397, 14600, 997, 196492, 791, 43639, 8920, 59143, 427, 84424, 326, 1738, 17, 1387, 9649, 461, 1119, 12589, 12580, 29, 404, 12, 861, 19302, 7458, 6747, 84424, 326, 1738, 31385, 940, 632, 52996, 14591, 67652, 27568, 530, 14951, 24575, 1002, 368, 23811, 30, 415, 12, 861, 368, 103919, 195002, 427, 368, 23811, 29631, 110335, 1965, 1130, 44629, 361, 19302, 30, 530, 735, 12, 861, 95480, 56615, 427, 368, 23811, 1400, 18755, 655, 11895, 1026, 989, 1943, 106262, 39482, 361, 368, 168506, 461, 524, 15944, 59305, 6149, 105311, 66673, 29, 2127, 103115, 33, 16111, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 31, 103115, 33, 111757, 632, 660, 54103, 861, 63808, 267, 20165, 15, 201573, 1002, 660, 9437, 861, 26146, 13996, 10783, 17, 66828, 267, 12427, 861, 156788, 115739, 368, 8821, 6149, 105311, 182924, 29, 10966, 63808, 23811, 361, 368, 5484, 7076, 105311, 47425, 29, 19679, 29, 143845, 461, 84424, 326, 1738, 664, 19302, 530, 664, 34001, 107376, 191964, 361, 4085, 104537, 461, 59305, 17, 35202, 104537, 461, 59305, 375, 38, 7021, 14274, 21030, 45, 530, 524, 15944, 5171, 45, 12, 3121, 4853, 427, 28392, 368, 22886, 461, 10546, 530, 15289, 31385, 940, 461, 84424, 326, 1738, 664, 7792, 6608, 19302, 530, 664, 34001, 107376, 191964, 17, 5070, 368, 524, 15944, 73397, 15, 368, 11824, 67451, 461, 84424, 326, 1738, 29631, 660, 132520, 529, 461, 202950, 19131, 19302, 17, 22652, 1392, 41511, 31385, 940, 15, 19302, 24279, 427, 861, 461, 40843, 17, 5070, 368, 405, 7021, 73397, 15, 368, 11824, 67451, 29631, 267, 32584, 18552, 361, 19302, 2131, 28897, 3172, 141462, 4731, 13996, 41511, 31385, 940, 17, 17010, 1026, 989, 1943, 106262, 39482, 1620, 125033, 361, 168506, 461, 524, 15944, 59305, 43639, 8920, 59143, 427, 84424, 326, 1738, 17, 3904, 6416, 1620, 1130, 24568, 361, 405, 7021, 59305, 11895, 361, 10764, 73397, 121980, 3804, 14275, 1002, 368, 23811, 17, 5663, 68622, 265, 39482, 1620, 1130, 115254, 361, 30234, 461, 10764, 73397, 14600, 997, 196492, 791, 43639, 8920, 59143, 427, 84424, 326, 1738, 17, 1387, 9649, 461, 1119, 12589, 12580, 29, 404, 12, 861, 19302, 7458, 6747, 84424, 326, 1738, 31385, 940, 632, 52996, 14591, 67652, 27568, 530, 14951, 24575, 1002, 368, 23811, 30, 415, 12, 861, 368, 103919, 195002, 427, 368, 23811, 29631, 110335, 1965, 1130, 44629, 361, 19302, 30, 530, 735, 12, 861, 95480, 56615, 427, 368, 23811, 1400, 18755, 655, 11895, 1026, 989, 1943, 106262, 39482, 361, 368, 168506, 461, 524, 15944, 59305, 6149, 105311, 66673, 29, 2127, 103115, 33, 34955, 229129, 326, 1738, 9568, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]