Datasets:
zelaix
/
VS-Bench

Dataset card Data Studio Files Community
2
next_action
list
prompt
dict
next_legal_actions
string
[ 3 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 2 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 1 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 1 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 3 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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55RWl5a3aHm/mzJlMaWkp89tvv7HJXSgUMgqFgt2+7XDJ9iZNmsSW59q1a0xTUxPz119/MYcPH2YSExONVIvEGEpKSpQ+G7///rvG7ZcsWcJuO27cOObWrVvM7du3mTFjxrDLlyxZwm6vb0IHwLz22mtMRUUFc/DgQaUfDG11FJ9hDPsbefzxx5lr164xtbW1zKVLl3Sr1Lbl03tPQohF0jah19bWsq2l0NBQhmEYJicnh93u+eefZ2P26NFDY0wAzMSJE9ntW5fx+XymoqKCXT5kyBB23d27d9nlmhL6smXLGAAMj8djZs2axbz33nvMoUOHmHv37nFddcTI7t27p/SZOXfunMbt237uLly4wC7Pzc1ll/fs2ZNdrm9C9/b2Zu86yTAM4+npyQBgHB0dleJoSuj6/o0AYIqLizurOq0YZepXrikUCty5cwdisZjuTkWMhmEY1NTUwNfXl/Mx/OYSHx/f4Vzxzs7OmD17Nj755BPk5eXhwoUL+PLLL9n1ixcvZh+3ndO+I2VlZSrLunXrpjQHftthSA0NDdq8BKxZswb5+fk4cuQI0tLS2Fkl+Xw+ZsyYgS+//FJlGmJimby8vODq6spe+7506RLCw8M73L7t567tjaTaXrdW99lk2o2UaG5u1liuoKAg9q6TQMvntLy8XKebhOn7N+Lt7Y1evXppfRxNrCKh37lzh7MXrI+I2H+a7dhZP7xrluMuCgvtfCMj2XUhz2zHBlo6hfXs2dOsZTCVRYsW4ZNPPgEAJCcn4+uvvwYAPPzwwxgyZAi7nY+PD27fvg0ej4fbt2+je/fuKrHaf4kC2t38R9NyoGXM76FDh1BVVYWLFy+ioKAAaWlpOHr0KL7++mvExsZi5syZnb9YYnZ8Ph+TJk3CV199BaCls+Mzzzyj9gdZc3Mz+7kDWjqitd7roe2QMR8fH/axo6MjGhsblXqKKxQK3Lx5U2O5tP2caqLv30hHN3fSh1UkdLFYDAAoKChgH5uKTCbDnmOF6O3fG3yBaVttCrkCzTMfxuOPP67XzHf6kslkyNu1E/69e0Ng4paqXKFAtJ29yV8z0HIL3b59+5r8M2ZOgwcPxtChQ5GTk4Pt27ezLZlFixYpbTdlyhR8/PHHYBgG8fHx2Lp1K/r06YPy8nL85z//wWeffYZZs2Zh3rx5epXD09OT/ZI+f/680vjj3bt3A2i5v/zgwYMxZMgQFBYW4ujRowCA4uJivY5JzGPNmjX4/vvvIZVKkZeXh8mTJ2Pt2rUYMGAApFIp/vOf/+DDDz/E+++/j9jYWPYH5xtvvIHPP/8cPB4Pb7zxBhsvNjaWfezv74+rV6+irKwMZ8+eRUREBD744AOtbtmtDU9PT5SXl6OsrAy3b99Wun+Isf9GtGEVCb3115KHhwdcXV1NemyZTAZ7+9twcnYyS3KTOzvD09PT5And3t4ezk5O4Jv4VKZCLoezvYPJX3NbtnRZJzU1FampqSrLCwoK2NOWixYtQk5ODpvMXVxcMGvWLKXtk5KScPLkSVy6dAnp6ekYMGCASkxDWsmPPPIIe+e51lOwUVFRyMzMRFZWVodTQ9vZ2akMuyOWLSgoCD/88APi4uJQVlaGQ4cO4dChQ2q3TUpKwvHjx5Gfn4+ff/5ZKYG2xmo7idK8efOQkJAAoOUzJRKJIJVK4ezszMndJx955BH8+OOPqK2tZc/itV7WMvbfiDZs40IhIURvzzzzjNJZiZkzZ6qcpfDw8EBWVhbWrl2L8PBwiEQi9r4NY8eOxXvvvWfQfQkSExMxe/Zs+Pj4qPygmjp1KuLi4hAYGAixWAyBQAAvLy/ExMTg+PHjFjebGOnc448/jsuXL2Pt2rWIiIiAu7s77O3t0aNHDzz++OPYunUrgoKC4O3tjezsbKxatQoDBgyAUCiEo6Mj+vfvj5UrVyI7OxteXl5s3BUrVmDVqlXw8/ODg4MD+vXrh4MHD2LYsGGclPujjz7CpEmT4OnpqbLO2H8j2rCKqV8lEgnc3NxQXV1tlhb6x//KQ1BQkHla6LdPYsKECSZvof/n3S0ICgoySwv9d3sHk79moGVuaS8vL7N8zgghxFDUQieEEEJsACV0QgghxAZQQieEEEJsACV0QgghxAZQQieEEEJsACV0QgghxAZQQieEEEJsACV0QgghxAZQQieEEEJsACV0QgghxAZQQieEEEJsACV0QgghxAZQQieEEEJsACV0QgghxAbYmbsAhDzILrzwAhT1dexzBx8fhGzeYpayvPlVOeqb7t9N2duVj9XTPDg9xp3v/s1pvLZ8p0w1WmxCrAEldEJMLHd+PMAwatc13buH3Ph5AADXJ55AYPx8o5ZlWXIZ1JcEKJUosDS5DAAwYoAIz0Q4GbUshBDD0Cl3Qkyk/M6dlmTdQTJvT3LiBJvcuXa3pBJLNSTz9s7+Wcsmd0KIZaKETggHFAoFwsLCMGHCBLXrC3ftRPHKN/WKzXVS3/uLBJt+kuu1r6Un9evXr8POzg47duwwd1EIMTk65U4IB1JSUpCXl4fdu3errLt+/jxqTp/WuH946h72sboEnhs/T2kbfeVdvonsG64at9m6wIt9rC6BL00uU9rGkvTp0wezZ89GYmIi5syZA1dXza/VlKrPn0dVTjbqCgogq6qCorER9l26wLl3ALpNmgSnXr30ji1tUODYhToUlTbjdkUzZH//XhvexxGzR4k5egW2RSqVYtOmTThw4ACKiorg7OyMESNGYOXKlRg1apS5i6cXaqETYiC5XI6kpCRERUVh+PDhKutrPnhf4/6uy1/V6jjqEn10dDT8/f212h8APj+rOcE9N0KqVRx1iV7XshjLihUrUFpaim3btpm7KEpKj6ej4tdf0XDrFuRSKRiZDE0lJajKOosra95G9YULeseuqlXg1J8NKCy9n8xJx2praxEZGYn169fj2rVraGxsRGVlJY4cOYLo6Gjs27fP3EXUCyV0Qgx0+PBhFBcXY+7cuSrrtDldLukk4bfyfmqyrkVTos3p8s/PumgVa8xgR4PKYkwDBw5EWFgYdu/eDYVCoXec4uJinbbPjZ+n8f3mCQTwiIxE0Oq3ELb7M/R/ZzNcgoNbVsrluPuvAx3uuzS5TOP75+TAQ9QAIeZGumBcKHVe7MzatWuRm5sLAIiLi0NJSQmOHz8OZ2dnKBQKLF68GBUVFWYupe4ooRNioJSUFPB4PEybNk3vGC3JIL7DhBCeugc9p5pmWNbS5DIs+6LjBLJ1gRcmhVv2ady4uDgUFxcjIyNDr/2zsrLQv39/bNq0ibMy+b/wIvyeWwiXoCDwHRwg7NYNvjOfYdc33L2rd2xPsQBTI1wwNFAINxF9rWvCMAy++OIL9vnmzZvh7e2N0aNHIy4uDgAgkUjwzTffmKuIeqN3nhADMAyDzMxM9OvXD+7u7krrMnXumKXa55zv5MTJtfPP/p2tW0l4qsuE9jyLvXbe3siRIwEAJ06c0Gv/kJAQDBkyBCtXrsTGjRs5KZPASbXlrGhqYh87eHA75p+oV1BQgNLSUgCAWCyGn58fu27QoEHs47Nnz5q8bIaiTnGEGODy5cuoqKhATEyMyjq3LMO+ELhI5K0uVvc2aH9rSeSthg4dCgA4c+aMXvu7uLjgyJEjmDBhAlatWgWGYbBq1SouiwiFTIa7B/azz73GjOU0PlHv3r177OP2P8Ld3NzUbmctKKETYoBbt24BAHx8fLgLyuMhPCVVzWI1zWYN6woKCgzupMYD8KGaZG6OsuhCLBZDKBSy709b/v7+KCoq0ileQkICwsPD2R9uNZcv4/om9S339pdNBrz7Hhy9vZWWyevrcXPbVtRevw4A6PLIo/Ae25LQ8+824eOfJWpjt78M8vb0LvAUC3R6LeQ+pt2cEG2fa/qMWyqrSugymQwymczkxwQAhdz0XUdbj2mu1yw3oEORvlqPaerXrO8xy8vLAQBdunThpAyBCavh2rev2nVr1qxRWZaSkoKqqiosW7ZMZV371oeuXhkvQmB39R2sTF0WfXh4eKCsTLUfwPTp09UuVycvLw+5ubnw9PREQEAAJ+WSVVbi+nvvouGvvwAAXo8/gZ7z5lllArFGbX98V1VVKa2rrq5Wu521sKqEfuzYMTg7O5v8uAHOAPO/WzDXaJD09HStt21ubsZ/pRFoUAjVrh9i9zPcXLXo0DQgBOe1Pir3dH3NDx1Ph11dndr1f4weA9c2p9I6UtfB/po4/X1dtL6+Xud91bmxfh0A9afbExMTVZZlZmaisLBQ7TpDbfu5FkCt2tPtpi6LPurr69V+X7z77rta7X/69GnExMTAy8sLGRkZCG7tkQ5A3L+/ynvU2jLXdKmk/tYt3HjvXcgqKgAeD92nTUe3SZOUtgnq7qBS560tc2u79GGJAgIC0LVrV5SUlEAqlaKoqIi9jn7x4kV2u4iICHMVUW9WldDHjRtn8okiZDIZ0tPTMXbsWNjb21vssRP/JYG0ofOJPH9vHg/8PRpjy2xXta0Ca3nNl5cvh7xG/anJtgZmHGcfh+z+rMOWUGtrWxfef59K5XqIS278PAR8uBVuHLX8DbE0uQyJU+zRxb3zH0WWQqFQoLq6GiEhIXrtn5OTg/Hjx0MoFCIjIwOhoaEGl6nmyhUUbP0Q8ro68Ozs8NDC5+Hxd+c9QykYBnWNLX//Tc33vwea5QykDS1nvYT2PNgJ6CwAADz77LPsCIbXX38d27dvx4ULF3DgQMvQQVdXV8yYMcOcRdSLVSV0e3t7kycYSz/2Bz9VobCkWa+4K75qSYYd/eq31Nd8be1a1F7P1yvupecXAlDfitLntYaEhIDP5yM/X7U81REjDOoYd3PZUgDcdI4b5FZgUMe4xO9kACx3hrj28vPzoVAolHot6yIoKAhRUVHYuHGj3jHa+993/4b877NATHMzij79BEWffqK0jbrr7dqolCrwf/+qVFl+rqAJ5wpafmzOeswFEUHqz9w9aFavXo2jR48iNzcX+/fvx/799zsn8vl87Ny5Ex5WOOqAhq1ZsaXJZXon8/ZxJHVNnW9oAXLj5+mdzNvHaZB03rrvjLu7O0JDQ5GTk6PSwSZ6yRKD4wMtZW1qaDAoxsKpwzgpy9LkMjQ0mr5/g66ysrIAAFFRUXrt7+bmhkOHDnGWzIllEYlEOHXqFBISEhAUFAQHBwe4u7tj/PjxOHnyJGbOnGnuIurFqlro5D6ub5Lx1jcSTBwgxdgIf07jconrm5RcfvklOM2YiX4d3FBFW5MnT0ZiYiKys7PVTv3KhUuLF3XY+93U3khr6Thkya319PR0CAQCTJw40WTH7OxMStBK/Ye9dVbXnmKBRb8flkgsFmPdunVYt26duYvCGWqhWyFdkvnWBV7svw/ne2rc9tCfLiip0L1jmCnokszDU/ew/wZ3kgDrv9mHGgPHmy5cuBACgQB79+5VWxbOqLntamtHNG0Y+wtfl7IYU11dHQ4ePIhJkybB19fX3MUhxGQooVsZXZL5YD8Hpec8Hg/2fM0d59Z/b3kJXZdk7j5sqNJzHo8H2Gk+EXX99RV6latVjx49EBcXh7S0NNTW1qqsd33tNYPit+Lix8HCkTUclMSyW+f79u2DVCrF8uXLzV0UQkyKEroV+ezoHZ22D+taqrLs5SfdO91v3XeGX1vmyqWPdLtjVtOIR1SW9U1Y3el+fyxfptNx2lu/fj2kUim2b9+usi4wNAweBt6OkauW/qB+vRHRx6HzDTWw5GTe3NyMDRs2IDY2FpGRkeYuDiEmRQndily8o9sXcWq26jCjD36sVrOlstVTLOce0k05OTptX6fmB8C1/0vqdL+BH3yo03Ha6927N1JTUyESidSu91v4PPw2vaNXbE5P2wOYNcoVKyfq133GkpM50DJz35w5c/D++9rdwY4QW0IJ3Ur86zft7lPd3ns/3h/Ksvn7SjW3/1BmSV/Yf32pXyK7mpTIPr6yerXaa89tcZUwZ8yYgX/84x8drvfo3r3lWFrOCPbQpFjOk3mrbt7u2LrAC9qOSh7dx8WiPhsd8ff3R2JiIgIDA81dFEJMjnq5W4lfr+g3bKm4TK7VdXc/Lzu8Osldr2MYS9nx451vpEbdzZtaXXd36t0b/RI7b71zrW1P9bwlL0Le5rq7Y/fuGKBnS14fbedpX5lWhrrG++u6ugmQMNX8E9sQQrRDCZ1YRcuLa8Zq+eoqdMcnnW9kIhtnGf9z4DvFNPd0J+RBRKfcrcCpc7p1htOWPd9yk/kNPVvnnbKzs5hkTgghXKIWuhXILHABOr36rZv35nWBncByb7soO3yY85ihn38BQSdD2AghxFrRt5sVqKnnLpl3dH9rS9Ms6bw3vtYsZIY1QggxJkroD5BH+gox41EXcxfDpLyiH0evBQvMXQxCCDE6uob+ADlzrYHzOeAtXVnmSc7ngCeEEEtECd0KuDpxew/jpcllyPjPeU5jck3gxu29t3Pj5yHn2DFOYxJCiCWhhG4FogL0m1RGkx/ye2KZBbfWHWMMuwOaOoKv9iJ3fjzncQkhxBLQNXQrEBXuix8vcdhJ7G8MWlrrz0QAIwZYVke5gDFj8Me+r7kPzDDIjZ8Hz+cX4aHHHuM+vo4uvPACFPX3b4jj4OODkM1bzFKWN78qR33T/Q6Y3q58rJ7mwekxjpzj/sdpq5iHH6z+IYS0Rwmd4Oss4OusMosdk24M5bt3oXz3LrOMSc+dH9/hdLRN9+6x1/xdn3gCgfHzjVqWZcllHQ6ILJUo2D4XIwaI8EyEk1HLQggxDJ1ytxKR/YVGP8bS5DJkn79i9ONoy3vsOKMfIzd+Hi79N8voxwGA8jt3WpJ1J3PLt5KcOGG0Dn13SyqxVEMyb+/sn7UPXIdKQqwNJXQrMW2EaU4n7s31wjs/WMbtU3vOmWOS4zRt344/33jDoBgKhQJhYWGYMEH9tf/CXTtRvPJNvWJzndT3/iLBpp/keu1r6Un9+vXrsLOzw44dO8xdFEJMjk65W5FQ3ybk6XgLVX2USRiA20unenMYNhxN2f81+nEa7/3PoP1TUlKQl5eH3bt3q6y7fv48ak6f1rh/21P/6hJ4bvw8Ti4P5F2+iewbmm+P2/bSi7oEvjTZci/P9OnTB7Nnz0ZiYiLmzJkDV1fLuRWwTCLBvR9/QN3Nm6grKgIjkwEAPB57DH7PLzIo9qW/mnChqBHFpc2Q1CvQ2MzA3ZmPh7zsMDbUGb4e9FXfnlQqxaZNm3DgwAEUFRXB2dkZI0aMwMqVKzFq1ChzF08v1EK3Is/9P1+THGfLHG6HjBki5KWXTHIcQ2aSk8vlSEpKQlRUFIYPH66yvuYDzffmdl3+qlbHUZfoo6Oj4e/vr9X+APD5Wc0J7rkR2nVaU5fodS2LsaxYsQKlpaXYtm2buYuiRFZZidJjx1B7/TqbzLnyy+V6ZOU34m6VHLWNDJrlQFmNAucKmrDlhyr8eauJ0+NZu9raWkRGRmL9+vW4du0aGhsbUVlZiSNHjiA6Ohr79u0zdxH1Qgndyhi7ZbR6srNR4+vD2B3X+hjYq/zw4cMoLi7G3LlzVdZpc7pc0knCb+X91GRdi6ZEm9Pln5/V7tLOmMGOBpXFmAYOHIiwsDDs3r0bCoVC7zjFxcU6bZ8bP0/j+y1wdob3uHHwe+EF+EyK1Sn20uQyje+fgA9EBDli2QQ3bJnriYSpXRDo09IqVzDAod9rO9z3QbR27Vrk5uYCAOLi4lBSUoLjx4/D2dkZCoUCixcvRkVFhZlLqTtK6FbIWEl94oBaeHexvIQOGC+pO82YCbGPj0ExUlJSwOPxMG3aNL1jtCSD+A4TQnjqHvScappbjy5NLsOyLzpOIFsXeGFSuNgkZdFXXFwciouLkZGRodf+WVlZ6N+/PzZt2sRZmRy9vdFz9hx4jHwEDh7cXtOaFynGrMfE6O1jDwc7Hrq6CfDUMBG7/l61fn0mbBHDMPjiiy/Y55s3b4a3tzdGjx6NuLg4AIBEIsE333xjriLqjRK6leI6qa+f4YqxEX6cxuQa10l9wPbt6NdBJzZtMQyDzMxM9OvXD+7u7krrMnXumKXa55zv5MTJ6/7s39m6lUTN5IRCe57FXjtvb+TIkQCAEydO6LV/SEgIhgwZgpUrV2Ljxo1cFs0ohA6qX+WyNjm8i4i+6lsVFBSgtLQUACAWi+Hnd/97b9CgQezjs2fPmrxshqJ32YptXeCFPt0M7+yydYEXXJyN39mOC+Gpe+DSrx8ncRxdDG9lXr58GRUVFXj44YdV1rllGfaFEJ66B2Gf7jQoRquL1b0N2n/rAi+8M8eTk7KYwtChQwEAZ86c0Wt/FxcXHDlyBJGRkVi1ahU2bNjAZfGMrlnO4Mec+6fZR/WnOQRa3bt3j33c/ke4W5spp9tuZy2o66OVeznGHQDw1r5ySHS8zeqH8z3B43E7T7wpBK1cBQC4+MpLaK7WbYjd4JRUTl/zrVu3AAA+Bp62V9LB7V41lVvduoKCAoM7qXV0u11zlEUXYrEYQqGQfX/a8vf3R1FRkU7xEhISEB4ejpiYGABAzeXLuL5Jfcu9/WWTAe++B0dvb62PlX+3CR//rP5z3f4yyNvTu8BTLFBa1tCkwOcnalBY2gwAGBboaJJ5LKwR025OiLbPrfG70aoSukwmg4zj3qHaHLPt/5Z67LentfRebmpqwnuHG1EuVd8ZaGWMHJ6eLdfvmpubDT4u13Q5dr/3PgDQ8poL16xBU2mJ2u1839kMD8+W1mVHr1nbY7ZXXl4OAOjSpYvO+6oTmLAarn37ql23Zs0alWUpKSmoqqrCsmXLVNa1b33o6pXxIgR2V9+yM3VZ9OHh4YGyMtV+ANOnT1e7XJ28vDzk5ubC09MTAQEBXBeRc9V1cnx6TII7lS3n2x8NFmL6SJFVJidjafvju6qqSmlddXW12u2sBY9p/xPFAkkkEri5uSEtLQ3OzpbZaYtYv7q6OsyaNQvV1dVaj18+ePAgpkyZglWrVmH9+vVK6wyZEEbb6+bR0dEoLCxEYWGhxu0MmRBG2+vm2pTFlHO5e3h4wNHREXfv3tUr3unTpxETEwNHR0dkZGQgNDRU4/at77c2713ZiRP4KzWlpZxajENvff80vRd3K5vxaboEVbUK8AA8OcQZY0Pp+1IdHx8flJS0NAAKCwvZ6+jz589HamrL2bEdO3bgxRdfNFsZ9WFVLfRx48aZfKIImUyG9PR0jB07Fvb29g/EsR/E1wzcb23rwvvvU6lcD3HJjZ+HgA+3wo2jlr8hliaXIXGKPbq4W878BJ1RKBSorq5GSEiIXvvn5ORg/PjxEAqFWiVzbTAKBeS1Lde15Y2N98sqa0ZzTQ0AgC8Ugq/H5/76/2T4LEOC+iYGAj4we5QYQwIsd2ihuT377LPsCIbXX38d27dvx4ULF3DgwAEAgKurK2bMmGHOIurFqhK6vb29yb/kH+RjP2ivWZ/jhYSEgM/nIz8/X2VddcQIgzrG3Vy2FAA3vfsHuRUY1DEu8TsZAMudIa69/Px8KBQKpV7LuggKCkJUVBQ2btyod4z2msrL8ec/X1NZXpV1FlV/f04eWvg8PPWYpexIbi17pzy5AthzqgZ7TtUobaPuevuDavXq1Th69Chyc3Oxf/9+7N+/n13H5/Oxc+dOeHA8tNAUqJc7IQZwd3dHaGgocnJyVDrYRC9ZwskxcuPnoamhwaAYC6cO46QsS5PL0NBo+r4VusrKarnhTlRUlF77u7m54dChQ5wlc2JZRCIRTp06hYSEBAQFBcHBwQHu7u4YP348Tp48iZkzZ5q7iHqxqhY6IZZo8uTJSExMRHZ2ttqpX7lwafGiDnu/m9obaS0dhyy5tZ6eng6BQICJEyea7JidnUlx9PbW+2xLZ3XdOtqFaE8sFmPdunVYt26duYvCGWqhE2KghQsXQiAQYO/evSrrOJ0MR03/1czMzE47xLUydgLWpSzGVFdXh4MHD2LSpEnw9TXN/Q8IsQSU0AkxUI8ePRAXF4e0tDTU1qrOme36mup1U31w8eNg4ciazjfSgiW3zvft2wepVIrly5ebuyiEmBQldEI4sH79ekilUmzfvl1lXWBoGDwMvB0jVy39Qf16I6KPYbMCWnIyb25uxoYNGxAbG4vIyEhzF4cQk6KETggHevfujdTUVIhEIrXr/RY+D79N7+gVm+s57GeNcsXKifp1n7HkZA60zNw3Z84cvP++dnewI8SWUKc4QjjS2bhVj+7d4ZG6B7nz49VeD2/voUmx8Jw+naviKenm7Y6tC4BlyWVqbgmjanQfF8SOsvzpQ/39/ZGYmGjuYhBiFpTQCTGxtj3V85a8yE42AgCO3btjgJ4teX20nad9ZVoZ6u7Pd4KubgIkTDX/xDaEEO1QQifEjEJ3fGLuIrA2zjL+6fT207MSQrhD19AJIYQQG0AJnRBCCLEBlNAJIYQQG0AJnRBCCLEBlNAJIYQQG0AJnRBCCLEBlNAJIYQQG0Dj0AkxowsvvABFfR373MHHByGbt3B6jDvf/ZvTeG35TplqtNiGevOrctQ33Z8Hz9uVj9XTPDg9xpFzUk7jtUVj9omuKKETYmKapn5tuncPufHzAACuTzyBwPj5JiyZ9dM0lW2pRIGlyWUAgBEDRHgmwsl0BSPEBOiUOyEcUCgUCAsLw4QJEzrcpvzOnZZkrcU87gAgOXGCTe6W7vr167Czs8OOHTs4j61N3d4tqcRSLeelB4Czf9ayyd3SGbNuiW2hhE4IB1JSUpCXl9fhjUEKd+1E8co39YptDUm9T58+mD17NhITEyGRSDiN3Vnd7v1Fgk0/yfWKbQ1J3Zh1S2wLJXRCDCSXy5GUlISoqCgMHz5cZf318+dRefq0xhjhqXvYf+pYQ1JfsWIFSktLsW3bNs5idla3eZdvIvtGk8YYWxd4sf/UsYakboy65YpMIsGtvV/i0muv4vxzz+LiS/9Awccfob642ODYNfUKfHtWiqQDFXg1tQwJX5cj+aQEtyuaDY4tlUqxevVqBAcHQygUwsPDAxMmTMCvv/5qcGxzoYROiIEOHz6M4uJizJ07V+36mg8035vbdfmrWh1HXVKPjo6Gv7+/Vvsb28CBAxEWFobdu3dDoVBo3FbbcndWt5+fddW4/3MjtOu0pi6pW2vdmpKsqgrXkhJRmp6OprIyMM3NaK6pQVV2Nq6u/T/UXLmid+zqOgXeP1SFXy43oEKqgFwBSBsYnC9swgeHqnD9fzK9Y9fW1iIyMhLr16/HtWvX0NjYiMrKShw5cgTR0dHYt2+f3rHNiRI6IQZKSUkBj8fDtGnTVNZp07KWdJLwW3k/NVnXoplcXFwciouLkZGRwUk8TXWrTcv687Pa9RQfM9hR57KZmqF1W6xHizk3fp7Gz/CttK/QVNbyPniP+38YtH0H/F54EeDxwDQ1oXj3LjBy9ZdDliaXaXwPv/uvFBXSlh8vUQOE2DDLA/OixODxAJkc+OrXGsgV2vaaULZ27Vrk5uYCaKnXkpISHD9+HM7OzlAoFFi8eDEqKir0im1OlNAJMQDDMMjMzES/fv3g7u6ud5yWL874Dr88w1P3oOdUyx0i1mrkyJEAgBMnThgci6u6XZpchmVfdJw8ti7wwqRwsd7xTcWQus3KykL//v2xadMmzsrTXFuLqpwcAADP3h6+Tz8NOxcXeIwcCZfgfgCAprIySP74Q+fYdY0KXChsuZRiLwAmDRFB5MjHkABHBPrYAwAqpApcvaN7K51hGHzxxRfs882bN8Pb2xujR49GXFwcAEAikeCbb77ROba5UUInxACXL19GRUUFHn74YZV1mTr3SlZtbfCdnDq8rm6Jhg4dCgA4c+aMwbE01e1n/87WKRbDU10mtOd1eF3dEhlStyEhIRgyZAhWrlyJjRs3clKe+qIi4O/Wt6NPN/AdHNh1Tr16so/rbtzQOfat8ma0Nr69XAWwt7v/Bvp2EbCPC0t1T+gFBQUoLS0FAIjFYvj5+bHrBg0axD4+e/aszrHNjcahE2KAW7duAQB8fHxU1rllGfaFYE2JvJVYLIZQKGTrxRCa6vZidW+DYltTIm9lSN26uLjgyJEjmDBhAlatWgWGYbBq1SqDyiOrrmYfC5ydldbxne6P8ZdJqqGrmob7P26dHZR/jQnbPK+p1/2U+71799jH7c/8uLm5qd3OWlhVQpfJZJDJ9O8Ioe8x2/7/IBz7QXzN+h6zvLwcANClSxfuCsLjITwlVc1iNc1MDesKCgrM0qnLw8MDZWX3T2/rW25j1C0PwIdqkrm11i0A+Pv7o6ioSKc4CQkJCA8PR0xMDLus5vJlXN+kvvXe/lLQgHffa7cF0+FTHnjIv9uEj39WP+Su/aWQt6crv98qKVsptmGYdnNCtH2u6TNhqawqoR87dgzO7X4Jmkp6erpZjmvOYz9or7murq7zjdpx+rslUl9fz0kZAhNWw7VvX7Xr1qxZo7IsJSUFVVVVWLZsmco6Q647G6K+vl7p71TfcnNdt6+MFyGwu/rZ4ay1bgFg+vTpKkm+I3l5ecjNzYWnpycCAgIMKot9m9asvN3fjrzNdMZ2bppHIqgjFt5PpvWNykm3Xnb/udhJ96Tb9oxPVVWV0rrqNmcd1J0ZsnRWldDHjRsHV1fdPxyGkMlkSE9Px9ixY2Fvb/9AHPtBfM3A/da2Lry9vQGAsx6xN9avA6D+dLu6iVUyMzNRWFjY4aQrpqZQKFBdXY2QkBB2mb7l5rput/1cC6BW7el2a61bAHj33Xe12v/06dOIiYmBl5cXMjIyEBwcrLRe3L+/yueutWWu7vNoJxKBJxCAkcvReO8eFE1N7HX0hjaXBZwDAtG9u4NKvbe2zNW9H86OPAj4gFwBlNXIIWtm2Ovodyvvj0H389b9OyIgIABdu3ZFSUkJpFIpioqK2OvoFy9eZLeLiIjQOba5WVVCt7e3N/mX/IN87AftNetzvJCQEPD5fOTn53Naltz4eQj4cCvcuDyVbwL5+flQKBRKnYv0Zay6XZpchsQp9uji7tb5xhbEkLrNycnB+PHjIRQKkZGRgdDQUIPLI3B2htvQYajKOgtGJsOdAwfQbfJk1Fy8COnVqwAABy8vuA4cqHNsJwc+wvwccK6gCTI58OPvtRg/2BlXbstw415LQvdw4SPYV7/viGeffZbt8f/6669j+/btuHDhAg4cOAAAcHV1xYwZM/SKbU7Uy50QA7i7uyM0NBQ5OTkq1+OqI0YYFPvmsqVWMUNcW1lZWQCAqKgog2NpqttBbgUGxU78TmYVM8S1ZUjdBgUFISoqCidOnOAkmbfqOWsWHLxaWtilx47i4pIXUfjJDoBhwHNwwEPPLwJPIOgkinqTh7vAw6UlRZ36swEr0yqQeqoGDNMylG32KDEEfP2uc69evRrh4eEAgP3798Pb2xtjxoxBXV0d+Hw+du7cCQ8Pbu/MZwqU0Akx0OTJk1FdXY3sbOWhVNFLlnASPzd+HpoaGjiJZWzp6ekQCASYOHEiJ/E6qtuFU4dxEn9pchkaGk3fAVMfhtStm5sbDh06xMmZk7bs3d3Rd00ivMaMgYOXF3gCAezEYrgPHYbgt96GuF8/vWO7OfPx6kR3jOovhIcLHwI+IHLkIczPAcsnuqNPN/3P4IlEIpw6dQoJCQkICgqCg4MD3N3dMX78eJw8eRIzZ87UO7Y5WdUpd0Is0cKFC7F27Vrs3btX7XzjXLi0eFGHvd8tRV1dHQ4ePIhJkybB19eXk5imqNs30lo6QlnyUDZj1K02tBk6ae/qil5z5wFzdTubpE19i534mD7CBdMNO9mlPrZYjHXr1mHdunXcBzcTaqETYqAePXogLi4OaWlpqK2tVVrH6VhyNbddbe24ZQn27dsHqVSK5cuXd7qttuXWVLfGTsDWWrfkwUUJnRAOrF+/HlKpFNu3b1dZ5/raa5wcw5InmmlubsaGDRsQGxuLyMhITmNrqtuFI2s4OYYlt86NWbfEtlBCJ4QDvXv3RmpqKkQikcq6wNAweIwaZVB8S07mQMusbnPmzMH772t3oxldaKrbQf16I6KPg5q9tGfJyRwwbt0S20LX0AnhiKZhLn4Ln4f4yYkoevMNneNaejIHWmYrM+Z4bU11O2uUK57oV4WNh3S/R7alJ3PA+HVLbAe10AkxEY/u3VuSs5ZTSj40KdYqkrkl6Obtjq0LvLSeCnR0HxerSOaE6IJa6ISYWNue6nlLXoS8TWcvx+7dMWDTO+Yolk1oO0/7yrQy1DXeX9fVTYCEqdY1UQ8huqCETogZhe74xOjH8J1i+fdRN4aNs4zfAo952MXoxyBEW3TKnRBCCLEBlNAJIYQQG0AJnRBCCLEBlNAJIYQQG0AJnRBCCLEBlNAJIYQQG0AJnRBCCLEBNA6dEDO68MILUNTXsc8dfHwQsnkLp8c4ck7Kaby2LHkc9ptflaO+6f4d6rxd+Vg9zYPTY9z57t+cxmvrQZ0/gOiPEjohJpY7P17trVABoOnePeTGt9xX2vWJJxAYP9+EJbN+y5LLoL5mgVKJAkuTywAAIwaI8EyEk+kKRogJ0Cl3QjigUCgQFhaGCRMmdLhN+Z07Lcm6g2TenuTECTa5W7rr16/Dzs4OO3bs4Dy2NnV7t6QSSzUk8/bO/lnLJndLZ8y6JbaFEjohHEhJSUFeXl6Hd8Uq3LUTxSvf1Cu2NST1Pn36YPbs2UhMTIREIuE0dmd1u/cXCTb9JNcrtjUkdWPWLbEtlNAJMZBcLkdSUhKioqIwfPhwlfXXz59H5enTGmOEp+5h/6ljDUl9xYoVKC0txbZt2ziL2Vnd5l2+iewbTRpjbF3gxf5TxxqSujHqlisyiQS39n6JS6+9ivPPPYuLL/0DBR9/hPriYoNj19Qr8O1ZKZIOVODV1DIkfF2O5JMS3K7Q/Va57UmlUqxevRrBwcEQCoXw8PDAhAkT8Ouvvxoc21wooRNioMOHD6O4uBhz585Vu77mg/c17u+6/FWtjqMuqUdHR8Pf31+r/Y1t4MCBCAsLw+7du6FQKDRuq225O6vbz8+6atz/uRHadQhUl9SttW5NSVZVhWtJiShNT0dTWRmY5mY019SgKjsbV9f+H2quXNE7dnWdAu8fqsIvlxtQIVVArgCkDQzOFzbhg0NVuP4/md6xa2trERkZifXr1+PatWtobGxEZWUljhw5gujoaOzbt0/v2OZECZ0QA6WkpIDH42HatGkq67RpWUs6SfitvJ+arGvRTC4uLg7FxcXIyMjgJJ6mutWmZf35We164Y8Z7Khz2UzN0Lot1qPFnBs/T+Nn+FbaV2gqa3kfvMf9PwzavgN+L7wI8HhgmppQvHsXGLn6yyFLk8s0voff/VeKCmnLj5eoAUJsmOWBeVFi8HiATA589WsN5Apte00oW7t2LXJzcwG01GtJSQmOHz8OZ2dnKBQKLF68GBUVFXrFNidK6IQYgGEYZGZmol+/fnB3d9c7TssXZ3yHX57hqXvQc6rlD2MaOXIkAODEiRMGx+Kqbpcml2HZFx0nj60LvDApXKx3fFMxpG6zsrLQv39/bNq0ibPyNNfWoionBwDAs7eH79NPw87FBR4jR8IluB8AoKmsDJI//tA5dl2jAhcKWy6l2AuASUNEEDnyMSTAEYE+9gCACqkCV+/o3kpnGAZffPEF+3zz5s3w9vbG6NGjERcXBwCQSCT45ptvdI5tbpTQCTHA5cuXUVFRgYcfflhlXabOvZJVWxt8J6cOr6tboqFDhwIAzpw5Y3AsTXX72b+zdYrF8FSXCe15HV5Xt0SG1G1ISAiGDBmClStXYuPGjZyUp76oCPi79e3o0w18Bwd2nVOvnuzjuhs3dI59q7wZrY1vL1cB7O3uv4G+XQTs48JS3RN6QUEBSktLAQBisRh+fn7sukGDBrGPz549q3Nsc6Nx6IQY4NatWwAAHx8flXVuWYZ9IVhTIm8lFoshFArZejGEprq9WN3boNjWlMhbGVK3Li4uOHLkCCZMmIBVq1aBYRisWrXKoPLIqqvZxwJnZ6V1fKf7Y/xlkmroqqbh/o9bZwflX2PCNs9r6nU/5X7v3j32cfszP25ubmq3sxZWldBlMhlkMv07Quh7zLb/PwjHfhBfs77HLC8vBwB06dKFu4LweAhPSVWzWE0zU8O6goICs3Tq8vDwQFnZ/dPb+pbbGHXLA/ChmmRurXULAP7+/igqKtIpTkJCAsLDwxETE8Muq7l8Gdc3qW+9t78UNODd99ptwXT4lAce8u824eOf1Q+5a38p5O3pyu+3SspWim0Ypt2cEG2fa/pMWCqrSujHjh2Dc7tfgqaSnp5uluOa89gP2muuq6vrfKN2nP5uidTX13NShsCE1XDt21ftujVr1qgsS0lJQVVVFZYtW6ayzpDrzoaor69X+jvVt9xc1+0r40UI7K5+djhrrVsAmD59ukqS70heXh5yc3Ph6emJgIAAg8pi36Y1K2/3tyNvM52xnZvmkQjqiIX3k2l9o3LSrZfdfy520j3ptj3jU1VVpbSuus1ZB3VnhiydVSX0cePGwdVV9w+HIWQyGdLT0zF27FjY29s/EMd+EF8zcL+1rQtvb28A4KxH7I316wCoP92ubmKVzMxMFBYWdjjpiqkpFApUV1cjJCSEXaZvubmu220/1wKoVXu63VrrFgDeffddrfY/ffo0YmJi4OXlhYyMDAQHByutF/fvr/K5a22Zq/s82olE4AkEYORyNN67B0VTE3sdvaHNZQHngEB07+6gUu+tLXN174ezIw8CPiBXAGU1csiaGfY6+t3K+2PQ/bx1/44ICAhA165dUVJSAqlUiqKiIvY6+sWLF9ntIiIidI5tblaV0O3t7U3+Jf8gH/tBe836HC8kJAR8Ph/5+fmcliU3fh4CPtwKNy5P5ZtAfn4+FAqFUucifRmrbpcmlyFxij26uLt1vrEFMaRuc3JyMH78eAiFQmRkZCA0NNTg8gicneE2dBiqss6Ckclw58ABdJs8GTUXL0J69SoAwMHLC64DB+oc28mBjzA/B5wraIJMDvz4ey3GD3bGldsy3LjXktA9XPgI9tXvO+LZZ59le/y//vrr2L59Oy5cuIADBw4AAFxdXTFjxgy9YpsT9XInxADu7u4IDQ1FTk6OyvW46ogRBsW+uWypVcwQ11ZWVhYAICoqyuBYmup2kFuBQbETv5NZxQxxbRlSt0FBQYiKisKJEyc4Seates6aBQevlhZ26bGjuLjkRRR+sgNgGPAcHPDQ84vAEwg6iaLe5OEu8HBpSVGn/mzAyrQKpJ6qAcO0DGWbPUoMAV+/69yrV69GeHg4AGD//v3w9vbGmDFjUFdXBz6fj507d8LDg9s785kCJXRCDDR58mRUV1cjO1t5KFX0kiWcxM+Nn4emhgZOYhlbeno6BAIBJk6cyEm8jup24dRhnMRfmlyGhkbTd8DUhyF16+bmhkOHDnFy5qQte3d39F2TCK8xY+Dg5QWeQAA7sRjuQ4ch+K23Ie7XT+/Ybs58vDrRHaP6C+HhwoeAD4gceQjzc8Dyie7o003/M3gikQinTp1CQkICgoKC4ODgAHd3d4wfPx4nT57EzJkz9Y5tTlZ1yp0QS7Rw4UKsXbsWe/fuVTvfOBcuLV7UYe93S1FXV4eDBw9i0qRJ8PX15SSmKer2jbSWjlCWPJTNGHWrDW2GTtq7uqLX3HnAXN3OJmlT32InPqaPcMF0w052qY8tFmPdunVYt24d98HNhFrohBioR48eiIuLQ1paGmpra5XWcTqWXM1tV1s7blmCffv2QSqVYvny5Z1uq225NdWtsROwtdYteXBRQieEA+vXr4dUKsX27dtV1rm+9honx7DkiWaam5uxYcMGxMbGIjIyktPYmup24cgaTo5hya1zY9YtsS2U0AnhQO/evZGamgqRSKSyLjA0DB6jRhkU35KTOdAyq9ucOXPw/vva3WhGF5rqdlC/3ojo46BmL+1ZcjIHjFu3xLbQNXRCOKJpmIvfwuchfnIiit58Q+e4lp7MgZbZyow5XltT3c4a5Yon+lVh4yHd75Ft6ckcMH7dEttBLXRCTMSje/eW5KzllJIPTYq1imRuCbp5u2PrAi+tpwId3cfFKpI5IbqgFjohJta2p3rekhchb9PZy7F7dwzY9I45imUT2s7TvjKtDHWN99d1dRMgYap1TdRDiC4ooRNiRqE7PjH6MWIedjH6MSzRxlnGb4H7TrH8e9STBwedcieEEEJsACV0QgghxAZQQieEEEJsACV0QgghxAZQQieEEEJsACV0QgghxAZQQieEEEJsACV0QgghxAZQQieEEEJsACV0QgghxAZQQieEEEJsACV0QgghxAZQQieEEEJsACV0QgghxAZQQieEEEJsACV0QgghxAZQQieEEEJsgJ25C6ANhmEAABKJxOTHlslkqKurg0Qigb29/QNx7AfxNQNATU0NgPufN0IIsSZWkdBbv2h79epl5pKQB0FNTQ3c3NzMXQxCCNEJj7GC5ohCocCdO3cgFovB4/HMXRxioxiGQU1NDXx9fcHn09UoQoh1sYqETgghhBDNqBlCCCGE2ABK6IQQQogNoIROCCGE2ABK6IQQQogNoIROCCGE2ABK6IQQQogNoIROCCGE2ABK6IQQQogNoIROCCGE2ABK6IQQQogNoIROCCGE2ABK6IQQQogNoIROCCGE2ABK6IQQQogNoIROCCGE2ABK6IQQQogNoIROCCGE2ABK6IQQQogNoIROCCGE2ID/D9tvI+5da8+/AAAAAElFTkSuQmCC" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 0, 4 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 0, 2 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 1 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 3 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 3 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 0, 4 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 0, 4 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 1 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 3 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 1 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 3 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 1 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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//bbK9ibK9U2ePJkpLi5m/vjjDza4i0QiRqFQsPmVL5dsbuzYsWx7rl27xshkMubWrVvMoUOHmMTERDP1IjGHBw8eqHw2/vzzT635582bx+YdOXIkc/v2bebOnTvMc889x26fN28em9/YgA6Aeffdd5nS0lLmwIEDKj8YlLVUPsOY9jcybNgw5tq1a0xVVRVz8eJFwzpVuX1G70kIsUn6BvSqqip2tBQaGsowDMNkZ2ez+V599VW2zA4dOmgtEwAzZswYNn/TNj6fz5SWlrLb+/Xrx6bdu3eP3a4toMfHxzMAGB6Px0yZMoVZv349c/DgQeb+/ftcdx0xs/v376t8Zs6ePas1v/Ln7vz58+z2nJwcdnvHjh3Z7cYGdF9fX/aukwzDMN7e3gwAxsnJSaUcbQHd2L8RAExRUZGurtOLWZZ+5ZpCocDdu3fh5uZGd6ciZsMwDCorK+Hv78/5NfzWEhcX1+Ja8S4uLpg6dSo+//xz5Obm4vz58/jmm2/Y9Llz57KPlde0b4lEIlHb1q5dO5U18JUvQ6qtrdXnJSAhIQF5eXk4fPgwdu3axa4qyefzMWnSJHzzzTdqyxAT2+Tj4wN3d3f23PfFixcRHh7eYn7lz53yjaSUz1tr+mwyza6UqK+v19qu4OBg9q6TQOPntKSkxKCbhBn7N+Lr64tOnTrpXY82dhHQ7969y9kLJrZvUMw/rVZ35k/rcOvWLXTs2NFqbbCk1157DZ9//jkAICUlBbt37wYAPPnkk+jXrx+bz8/PD3fu3AGPx8OdO3fQvn17tbKaf4kC+t38R9t2oPGa34MHD6KsrAwXLlxAfn4+du3ahSNHjmD37t2IiYnB5MmTdb9YYnV8Ph9jx47Ft99+C6BxsuPLL7+s8QdZfX09+7kDGieiNd3rQfmSMT8/P/axk5MT6urqVGaKKxQK3Lx5U2u79P2camPs30hLN3cyhl0EdDc3NwBAfn4++9hS5HI5jh8/jmHDhhm1+pw91m3t17zjaAE6B3YGX2DZUXJNTQ0yf1pn8c+YNfXt2xf9+/dHdnY2Nm3axI5kXnvtNZV8L774Ij777DMwDIO4uDhs2LABXbt2RUlJCf7zn//g66+/xpQpUzBjxgyj2uHt7c1+SZ87d07l+uMtW7YAaLy/fN++fdGvXz8UFBTgyJEjAICioiKj6iTWkZCQgB9//BFSqRS5ubkYN24cli9fjl69ekEqleI///kPPvnkE3z00UeIiYlhf3AuWrQIW7duBY/Hw6JFi9jyYmJi2MeBgYG4evUqJBIJzpw5g0GDBuHjjz/W65bd+vD29kZJSQkkEgnu3Lmjcv8Qc/+N6MMuAnrTryUvLy+4u7tbtG65XA4XFxd4e3tbJbhZo25rv2ah8A6cXZwhsNJh79Z0Wmf79u3Yvn272vb8/Hz2sOVrr72G7OxsNpi7urpiypQpKvmTkpJw/PhxXLx4EWlpaejVq5damaaMkp966in2znNNh2AjIyORkZGBzMzMFpeGdnBwULvsjti24OBg/PTTT4iNjYVEIsHBgwdx8OBBjXmTkpLw22+/IS8vD7/++qtKAG0qS3kRpRkzZmDp0qUAGj9TYrEYUqkULi4unNx98qmnnsLPP/+Mqqoq9ihe02ktc/+N6KN1nCgkhBjt5ZdfVjkqMXnyZLWjFF5eXsjMzMTy5csRHh4OsVjM3rdhxIgRWL9+vUn3JUhMTMTUqVPh5+en9oNq/PjxiI2NRVBQENzc3CAQCODj44Po6Gj89ttvNreaGNFt2LBhuHz5MpYvX45BgwbB09MTQqEQHTp0wLBhw7BhwwYEBwfD19cXWVlZWLJkCXr16gWRSAQnJyf07NkTixcvRlZWFnx8fNhyFy5ciCVLliAgIACOjo7o0aMHDhw4gAEDBnDS7k8//RRjx46Ft7e3Wpq5/0b0YRdLv1ZUVMDDwwPl5eVWGaEfOnQIo0ePtspo1Rp1W/s1f/Z9LoKDgy0+Qq+uqcHEZ9pa5XNGCCGmohE6IYQQ0gpQQCeEEEJaAQrohBBCSCtAAZ0QQghpBSigE0IIIa0ABXRCCCGkFaCATgghhLQCFNAJIYSQVoACOiGEENIKUEAnhBBCWgEK6IQQQkgrQAGdEEIIaQUooBNCCCGtAAV0QgghpBVwsHYDCHmcnX/9dShqqtnnjn5+CFmz1iptee/bEtTIHt1N2dedj2UTvDit4+7+f3NanjL/F8ebrWxC7AEFdEIsLGdmHMAwGtNk9+8jJ24GAMB9+HAExc00a1viUyTQ3BKguEKB+SkSAEBELzFeHuRs1rYQQkxDh9wJsZCSu3cbg3ULwby5imPH2ODOtXsPHmK+lmDe3JlLVWxwJ4TYJgrohHBAoVAgLCwMo0eP1phe8NWXKFr8nlFlcx3Ud56swOpfGoza19aD+vXr1+Hg4IDNmzdbuymEWBwdcieEA6mpqcjNzcWWLVvU0q6fO4fKU6e07h++fQf7WFMAz4mboZLHWLmXbyLrhrvWPBtm+bCPNQXw+SkSlTy2pGvXrpg6dSoSExMxbdo0uLtrf62WVH7uHMqys1Cdnw95WRkUdXUQtmkDl85d0G7sWDh36mR02dJaBY6er0ZhcT3ulNZD/vfvtYFdnTB1iBtHr6B1kUqlWL16Nfbt24fCwkK4uLggIiICixcvxpAhQ6zdPKPQCJ0QEzU0NCApKQmRkZEYOHCgWnrlxx9p3d99wTt61aMp0EdFRSEwMFCv/QFg6xntAW52hFSvcjQFekPbYi4LFy5EcXExNm7caO2mqCj+LQ2lv/+O2tu30SCVgpHLIXvwAGWZZ3Al4QOUnz9vdNllVQqcuFSLguJHwZy0rKqqCkOHDsXKlStx7do11NXV4eHDhzh8+DCioqKwZ88eazfRKBTQCTHRoUOHUFRUhOnTp6ul6XO4vEJHwG/i+8I4Q5umQp/D5VvPuOpV1nN9nUxqizn17t0bYWFh2LJlCxQKhdHlFBUVGZQ/J26G1vebJxDAa+hQBC97H2FbvkbPD9fAtXv3xsSGBtz7fl+L+85PkWh9/5wdeYjsJcL0oa4YGUqTF3VZvnw5cnJyAACxsbF48OABfvvtN7i4uEChUGDu3LkoLS21cisNRwGdEBOlpqaCx+NhwoQJRpfRGAziWgwI4dt3oON4y1yWNT9FgvhtLQeQDbN8MDbctg/jxsbGoqioCOnp6Ubtn5mZiZ49e2L16tWctSnw9TcQMHsOXIODwXd0hKhdO/hPfplNr713z+iyvd0EGD/IFf2DRPAQ09e6NgzDYNu2bezzNWvWwNfXF88++yxiY2MBABUVFfjuu++s1USj0TtPiAkYhkFGRgZ69OgBT09PlbQMgydmqc855zs7c3Lu/Ot/ZxnWEp76NpGQZ7PnzpsbPHgwAODYsWNG7R8SEoJ+/fph8eLFSE5O5qRNAmf1kbNCJmMfO3pxe80/0Sw/Px/FxcUAADc3NwQEBLBpffr0YR+fOXPG4m0zFU2KI8QEly9fRmlpKaKjo9XSPDJN+0LgIpA3uVDe2aT97SWQN+nfvz8A4PTp00bt7+rqisOHD2P06NFYsmQJGIbBkiVLuGwiFHI57u3byz73eW4Ep+UTze7fv88+bv4j3MPDQ2M+e0EBnRAT3L59GwDg5+fHXaE8HsJTt2vYrGHYrCUtPz/f5ElqPACfaAjm1miLIdzc3CASidj3R1lgYCAKCwsNKm/p0qUIDw9nf7hVXr6M66s1j9ybnzbptW49nHx9VbY11NTg5sYNqLp+HQDQ5qmn4TuiMaDn3ZPhs18rNJbd/DTIBxPbwNtNYNBrIY8wzdaEUH6u7TNuq+wqoMvlcsjlcovXqfz/41C3LbxmRYPlp+oqGgyfQFVSUgIAaNOmDSdtCFq6DO7dumlMS0hIUNuWmpqKsrIyxMfHq6U1H30Y6u1RYgS11zzBytJtMYaXlxckEvV5ABMnTtS4XZPc3Fzk5OTA29sbXbp04aRd8ocPcX39OtTeugUA8Bk2HB1nzLDLAGKPlH98l5WVqaSVl5drzGcv7CqgHz16FC4uLlapOy0tzSr1WrNua9Xbt+AiUGD5eh2N+AHj/Pd50ZqaGk7acGPlCgCaD7cnJiaqbcvIyEBBQYHGNFNt/LUKQJXGw+2WbosxampqNH5frFu3Tq/9T506hejoaPj4+CA9PR3dm2akA3Dr2VPtPWoamWs7VVJz+zZurF8HeWkpwOOh/YSJaDd2rEqe4PaOan3eNDK3t1MftqhLly5o27YtHjx4AKlUisLCQvY8+oULF9h8gwYNslYTjWZXAX3kyJEWXyhCLpcjLS0NI0aMgFAofCzqtvZrzrx0EV2CgiDgW3bOZrURQdn370OpXF/ikhM3A10+2QAPjkb+ppifIkHii0K08fTQndlGKBQKlJeXIyQkxKj9s7OzMWrUKIhEIqSnpyM0NNTkNlVeuYL8DZ+goboaPAcHPDHnVXj9PXnPVAqGQXVd4+FiWf2jw8b1DQyktY1HnkRCHhwEdBQAAF555RX2CoZ//etf2LRpE86fP499+xovHXR3d8ekSZOs2USj2FVAFwqFFg8wj3Pd1nzNAj4ffIFlzw0a8wMiJCQEfD4feXl5amnlgyJMmhh3M34+AG4mx/XxyDdpYlzifjkA210hrrm8vDwoFAqVWcuGCA4ORmRkJJKTk40uo7n/7f83Gqob76zH1Nej8IvPUfjF5yp5NJ1v18dDqQL/9/1Dte1n82U4m9/4Y3PKM64YFCwyouWtz7Jly3DkyBHk5ORg79692Lv30eREPp+PL7/8El52eNUBXbZGiAk8PT0RGhqK7OxstQk2UfPmcVJHTtwMyGprTSpjzvgBnLRlfooEtXWWn1thqMzMTABAZGSkUft7eHjg4MGDnAVzYlvEYjFOnDiBpUuXIjg4GI6OjvD09MSoUaNw/PhxTJ482dpNNIpdjdAJsUXjxo1DYmIisrKyNC79yoWLc19rcfa7pS3a1ThxyJZH62lpaRAIBBgzZozF6tR1JCV4sfGXvenqa283gU2/H7bIzc0NK1aswIoVK6zdFM7QCJ0QE82ZMwcCgQA7d+5US+PyWnJNt11tmoimD3N/4RvSFnOqrq7GgQMHMHbsWPj7+1u7OYRYDAV0QkzUoUMHxMbGYteuXaiqqlJLd3/3XU7q4eLHwZzBlRy0xLZH53v27IFUKsWCBQus3RRCLIoCOiEcWLlyJaRSKTZt2qSWFhQaBi8Tb8fI1Ui/T4/OGNTV0aQybDmY19fXY9WqVYiJicHQoUOt3RxCLIoCOiEc6Ny5M7Zv3w6xWKwxPWDOqwhY/aFRZXN62B7AlCHuWDzGuOkzthzMgcaV+6ZNm4aPPtLvDnaEtCY0KY4Qjui6btWrfXt4bd+BnJlxGs+HN/fE2Bh4T5zIVfNUtPP1xIZZQHyKRMMtYdQ929UVMUNs/5KnwMBAm1nYhhBLo4BOiIUpz1TPnfcGGpTOuzu1b49eRo7kjaG8TvviXRJU1z1Ka+shwNLx1l/YhhCiHwrohFhR6ObPdWeykOQp5j+c7v+iZe7pTsjjiM6hE0IIIa0ABXRCCCGkFaCATgghhLQCFNAJIYSQVoACOiGEENIKUEAnhBBCWgEK6IQQQkgrQNehE2JF519/HYqaava5o58fQtastUpb3vu2BDWyR+vG+brzsWyCF6d1HD4r5bQ8ZdFPupqtbELsAQV0QixM29Kvsvv3kRM3AwDgPnw4guJmmrUt2pZ+La5QYH6KBAAQ0UuMlwc5m7UthBDT0CF3Qiyk5O7dxmCtxzruAFBx7Bgb3Ll278FDzNdzHXcAOHOpig3uhBDbRAGdEA4oFAqEhYVh9OjRGtMLvvoSRYvfM6psroP6zpMVWP1Lg1H72npQv379OhwcHLB582ZrN4UQi6ND7oRwIDU1Fbm5udiyZYta2vVz51B56pTW/ZVvkaopgOfEzeDkNqq5l28i64a71jzKt0jVFMDnp0hs9jaqXbt2xdSpU5GYmIhp06bB3V37a7UkeUUF7v/8E6pv3kR1YSEYuRwA4PXMMwh49TWTyr54S4bzhXUoKq5HRY0CdfUMPF34eMLHASNCXeDvRV/1zUmlUqxevRr79u1DYWEhXFxcEBERgcWLF2PIkCHWbp5RaIROiIkaGhqQlJSEyMhIDBw4UC298mPt9+Z2X/COXvVoCvRRUVEIDAzUa38A2HpGe4CbHaHfpDVNgd7QtpjLwoULUVxcjI0bN1q7KSrkDx+i+OhRVF2/zgZzrpy8XIPMvDrcK2tAVR2D+gZAUqnA2XwZ1v5Uhku3ZZzWZ++qqqowdOhQrFy5EteuXUNdXR0ePnyIw4cPIyoqCnv27LF2E41CAZ0QEx06dAhFRUWYPn26Wpo+h8srdAT8Jr4vjDO0aSr0OVy+9Yx+M8Wf6+tkUlvMqXfv3ggLC8OWLVugUCiMLqeoqMig/DlxM7S+3wIXF/iOHImA11+H39gYg8qenyLR+v4J+MCgYCfEj/bA2uneWDq+DYL8GkflCgY4+GdVi/s+jpYvX46cnBwAQGxsLB48eIDffvsNLi4uUCgUmDt3LkpLS63cSsNRQCfERKmpqeDxeJgwYYLRZTQGg7gWA0L49h3oON4ytx6dnyJB/LaWA8iGWT4YG+5mkbYYKzY2FkVFRUhPTzdq/8zMTPTs2ROrV6/mrE1Ovr7oOHUavAY/BUcvbi8HnDHUDVOecUNnPyEcHXho6yHACwPEbPr9cuPmTLRGDMNg27Zt7PM1a9bA19cXzz77LGJjYwEAFRUV+O6776zVRKNRQCfEBAzDICMjAz169ICnp6dKWobBE7PU55zznZ05OXf+9b+zDGsJT32bSMiz2XPnzQ0ePBgAcOzYMaP2DwkJQb9+/bB48WIkJydz2TSzEDmqf5XLlWJ4GzF91TfJz89HcXExAMDNzQ0BAQFsWp8+fdjHZ86csXjbTEUzJQgxweXLl1FaWoro6Gi1NI9M074QuAjkTS6UdzZpf3sJ5E369+8PADh9+rRR+7u6uuLw4cMYPXo0lixZAoZhsGTJEi6baFb1DQx+zn50mH1IT1pDoMn9+/fZx81/hHt4eGjMZy8ooBNigtu3bwMA/Pz8uCuUx0N46nYNmzUMm7Wk5efnmzxJjQfgEw3B3BptMYSbmxtEIhH7/igLDAxEYWGhQeUtXboU4eHh7A+3ysuXcX215pF789Mmvdath5Ovr9515d2T4bNfKzSmNT8N8sHENvB2E6hsq5UpsPVYJQqK6wEAA4KcMLSnSO/6HydMszUhlJ9r+4zbKrsK6HK5HHI9Z4fKZDLkf/A+5BLN5wHbJa+Gjx5/ZE316Vsvl6xVty285gYTJjMZy5g6S0pKAABt2rThpA1BS5fBvVs3jWkJCQlq21JTU1FWVob4+Hi1tOajD0O9PUqMoPaaR3aWbosxvLy8INHw9z9x4kSN2zXJzc1FTk4OvL290aVLF66byLny6gZ8cbQCdx82Hm9/ursIEweL7TI4mYvyj++ysjKVtPLyco357IVdBfSjR4/CxcVFa54OvxyEoK5OZ1n/W/we/vf348IXx+v8wKelpenbTM5Zq26rveZeIThnhWqr5fUG7+Ps3BjwampqOGnDjZUrAGg+3J6YmKi2LSMjAwUFBRrTTLXx1yoAVRoPt1u6LcaoqanR+H2xbt06vfY/deoUoqOj4ePjg/T0dHTv3p1Nc+vZU+09ahqZm3qqJLi9o1qfN43MtZ36uPewHl+kVaCsSgEegOf7uWBEqPbvy8dRly5d0LZtWzx48ABSqRSFhYXsefQLFy6w+QYNGmStJhrNrgL6yJEjW1wo4mZyMqpvXDeq3ID9/wYA9P56q1qaXC5HWloaRowYAaFQaFT5xrJW3Y/jawYejbYN4fv3UR6uL3HJiZuBLp9sgAdHI39TzE+RIPFFIdp4eujObCMUCgXKy8sREhJi1P7Z2dkYNWoURCIR0tPTERoaanKbGIUCDVWN57UblAYdCnk96isrAQB8kQh8Iz731/8nx9fpFaiRMRDwgalD3NCvi+1eWmhtr7zyCnsFw7/+9S9s2rQJ58+fx759+wAA7u7umDRpkjWbaBS7CuhCoVDjlzxXS2P+NWc2en76GUQafjS0VLclWKvux+01G1NfSEgI+Hw+8vLy1NLKB0WYNDHuZvx8ANxMjuvjkW/SxLjE/XIAtrtCXHN5eXlQKBQqs5YNERwcjMjISCQnJxtdRnOykhJc+ue7atvLMs+g7O/PyRNzXoW3EauUHc6pYu+U16AAdpyoxI4TlSp5NJ1vf1wtW7YMR44cQU5ODvbu3Yu9e/eyaXw+H19++SW8OL600BLs/loGrte5vvzWm7hy6BCnZZLWy9PTE6GhocjOzlabYBM1bx4ndeTEzYCsttakMuaMH8BJW+anSFBbZ/m5FYbKzMwEAERGRhq1v4eHBw4ePMhZMCe2RSwW48SJE1i6dCmCg4Ph6OgIT09PjBo1CsePH8fkyZOt3USj2NUIvTlDgrnyKIdhGJybGddi3prv9qCyXz+42eGkCGJ548aNQ2JiIrKysjQu/cqFi3Nfa3H2u6Ut2tU4cciWR+tpaWkQCAQYM2aMxerUdSTFydfX6KMtuvr6rWhPo8p9nLm5uWHFihVYsWKFtZvCGbsdoRsSzD0H9Fd5zuPxAAftv2Wu/2uhUe0ij585c+ZAIBBg586damlcXkuu6barTRPR9GHuAGxIW8ypuroaBw4cwNixY+Hv72/t5hBiMXYZ0C9+athNF2QRT6lt67Z0mc79/loQb1A95PHUoUMHxMbGYteuXaiqUl8z2/1d9fOmxuDix8GcwZW6M+nBlkfne/bsgVQqxYIFC6zdFEIsyi4Duiw726D81Rp+AFz7vySd+/X++BOD6iGPr5UrV0IqlWLTpk1qaUGhYfAy8XaMXI30+/TojEFdHU0qw5aDeX19PVatWoWYmBgMHTrU2s0hxKLsLqDf+sa4L7arSYns4yvLlmk8fKmM00OlpNXr3Lkztm/fDrFYrDE9YM6rCFj9oVFlc/1ZnDLEHYvHGDd9xpaDOdC4ct+0adPw0Uf63cGOkNbE7ibFSX77zaj9qm/e1Ou8u3PnzuiRqHv0Tkhzuq5b9WrfHl7bdyBnZpzOH5QA8MTYGHhPnMhV81S08/XEhllAfIpEwy1h1D3b1RUxQ2x/+dDAwECbWdiGEEuzu4BuTjQqJ5agPFM9d94b7GIjAODUvj16GTmSN4byOu2Ld0lQrbTIYlsPAZaOt/7CNoQQ/dhVQC88ftw8BTs4IHzrNt35COFY6ObPrd0EVvIU8x9Oj37S1ex1EPK4squAzphhbfHQrdsg0HEJGyGEEGLr7CqSNVRqvqWgUWxkkQ5CCCGEC3YV0LniEzUMnWbNsnYzCCGEEM7Y3WVrXJBkHOd8DXhCCCHEmuwqoPNbuHWqsXLiZiD76FFOyySEEEKswb4C+oiRnJcp+HZn43XBhBBCiB2zq4AeEBVlnoIZBjlxM1D0n/+Yp3xCCCHEzB7LSXEtKdnyFUq2fEULzBCLOf/661DUVLPPHf38ELJmLad13N3/b07LU+b/4nizlW2q974tQY3s0Tp4vu58LJvgxWkdh89KOS1PGV2zTwxldwHdd8RIFKeZ97x3TtwMOP7jHwgZOMis9ZDHk7alX2X377MTNt2HD0dQ3EwLtsz+aVvKtrhCgfkpEgBARC8xXh7kbLmGEWIBdnXIHQA6TptmkXpkmzbh0qJFFqmL2D+FQoGwsDCMHj26xTwld+82Bms91nEHgIpjx+zmaozr16/DwcEBmzdv5rxsffr23oOHmK/nuvQAcOZSFRvcbZ05+5a0LnYX0AHAccBAi9RTd/9/FqmH2L/U1FTk5ua2eGOQgq++RNHi94wq2x6CeteuXTF16lQkJiaiooLDBaCgu293nqzA6l8ajCrbHoK6OfuWtC52GdBD3nzTIvXQSnJEHw0NDUhKSkJkZCQGDlT/sXn93Dk8PHVKaxnh23ew/zSxh6C+cOFCFBcXY+PGjZyVqatvcy/fRNYNmdYyNszyYf9pYg9B3Rx9yxV5RQVu7/wGF999B+dmv4ILb/4D+Z99ipqiIpPLrqxR4IczUiTtK8U72yVYursEKccrcKe0Xq/9ZTIZFi1ahGHDhsHd3R08Hg88Hg9RLUywPn/+PCZOnIi2bdvCyckJgYGBePvtt1FcXGzya7EEuwzogPnvjNaV44lJpPU6dOgQioqKMH36dI3plR9rvze3+4J39KpHU1CPiopCYGCgXvubW+/evREWFoYtW7ZAoVBozatvu3X17dYz2temmB2h36Q1TUHdXvvWkuRlZbiWlIjitDTIJBIw9fWor6xEWVYWri7/P1ReuWJ02eXVCnx0sAwnL9eiVKpAgwKQ1jI4VyDDxwfLcP1/cp1lVFdXY82aNcjIyEBlZaXWvMeOHUNERAR++OEHFBcXQyaTobCwEJ9++ikiIiJw//59o1+LpdhtQAfMF9SdJ02Gm5+fWcomrU9qaip4PB4mTJiglqbPyLpCR8Bv4vvCOEObZnGxsbEoKipCeno6J+Vp61t9RtZbz+g3U/y5vk4Gt83STO3bIiNGzDlxM7R+hm/v+hYySeP74Dvy/6HPps0IeP0NgMcDI5OhaMtXYBo0nw6ZnyLR+h7u/68UpdLGHy+RvURYNcULMyLdwOMB8gbg298r0aDQPmtCKBTijTfewLZt27Qe3ZDL5Zg5cyZqa2vB5/Px7bffoqSkBAsWLAAA3Lx5E++++67WumyBXQd0gPug3mvTJvTQMvmGEGUMwyAjIwM9evSAp6en0eU0fnHGtfjlGb59BzqOt91LxJoMHjwYQONox1Rc9e38FAnit7UcPDbM8sHYcDejy7cUU/o2MzMTPXv2xOrVqzlrT31VFcqyswEAPKEQ/i+9BAdXV3gNHgzX7j0AADKJBBV//WVw2dV1CpwvaDyVIhQAY/uJIXbio18XJwT5CQEApVIFrt7VPkoXi8XYvHkzZs2aheDg4BbzHT16FLdu3QIADB06FFOmTIGXlxdWrVoFkUgEANi7dy/Ky8sNfi2WZPcBHWj8snPt0YOTcpxcbf8Pm9iOy5cvo7S0FE8++aRaWobBs5LVRxt8Z2e7Whehf//+AIDTp0+bXJa2vv3631kGlcXw1LeJhLwWz6vbIlP6NiQkBP369cPixYuRnJzMSXtqCguBv0ffTn7twHd0ZNOcO3VkH1ffuGFw2bdL6tE0+PZxF0Do8OgN9G8jYB8XFOs+7K6PzMxM9nGfPn3YxyKRiP0hIJfLcfbsWU7qMxe7uw69JcGLlwAALrz9JurLDZsJ2jd1O3g8DX/xhOhw+/ZtAICfhlM0HplnTCrbngJ5Ezc3N4hEIrZfTKGtby+UdzapbHsK5E1M6VtXV1ccPnwYo0ePxpIlS8AwDJYsWWJSe+RKo1WBi4tKGt/50TX+8grDR7WVtY9+3Lo4qn43i5SeV9boe6Gidsrnx5sfDfLw8NCYzxbZVUCXy+WQy7X/Iuux/mMAjbMbCxISICt+oDGf/4dr4OXtDQCor295xmRTfbrqNQdr1f04vmZj6ywpKQEAtGnThruG8Hgar7DQ9qNTU1p+fr5VJnV5eXlBInl0eNvYdpujb3kAPtEQzO21bwEgMDAQhYWFBpWzdOlShIeHIzo6mt1Wefkyrq/WPHpvfiqo17r1zXIwLT7lgYe8ezJ89qvmgVbzUyEfTFR9v9VCtkrZ3GOarROh/NzWB352FdCPHj0Kl2a/BLUaMqTFpCKlQyz6SEtLMyg/l6xV9+P2mqurq3Vnasb575FITU0NJ20IWroM7t26aUxLSEhQ25aamoqysjLEx8erpZly3tkUNTU1Kn+nxrab6759e5QYQe01rw5nr30LABMnTlQL8i3Jzc1FTk4OvL290aVLF5PaIlQauTY0+9tpUFrO2MHD8LtkuokeBc6aOtUAWyN/9NzNmZsAq3wUqKysTCVN+by5pqNFtsSuAvrIkSPhzvEtVHWRy+VIS0vDiBEjIBQKH4u6H8fXDDwabRvC19cXAFBaWspJG26sXAFA8+F2TQurZGRkoKCgoMVFVyxNoVCgvLwcISEh7DZj28113278tQpAlcbD7fbatwCwbt06vfY/deoUoqOj4ePjg/T0dHTv3l0l3a1nT7XPXdPIXNPn0UEsBk8gANPQgLr796GQydjz6LVKpwVcugShfXtHtX5vGplrej9cnHgQ8IEGBSCpbIC8nmHPo997+OiIaoAvN98RERER7OO/lCbx1dbW4vr16wAaZ8xrms9hS+wqoAuFQot/yT/OdT9ur9mY+kJCQsDn85GXl8dpW3LiZqDLJxvgweWhfAvIy8uDQqFQmVhkLHP17fwUCRJfFKKNp4fuzDbElL7Nzs7GqFGjIBKJkJ6ejtDQUJPbI3BxgUf/ASjLPANGLsfdffvQbtw4VF64AOnVqwAARx8fuPfubXDZzo58hAU44my+DPIG4Oc/qzCqrwuu3JHjxv3GgO7lykd3f91/s01HL5RX2ZPL5ex2FxcXjBgxAp06dcKtW7dw8uRJ7N69G6NGjcLy5ctRW1sLoPGyQUsPKA1lVwGdEFvj6emJ0NBQZGdng2EYlXNs5YMiTJoYdzN+PgD7mhzXNFs4MjLS5LK09W0fj3yTJsYl7pcDkNjV5DhT+jY4OBiRkZFITk7m5MdWk45TpqD6xnXIJBIUHz2C4qNH2DSeoyOeePU18AQCLSW0bNxAVxQUl6FUqsCJS7U4camWTRMKgKlD3CDg6z7k3nSkR9np06fZ7QkJCUhMTERqaiqef/551NbWYsqUKSr5O3fujPXrm88bsD2t4rI1Qqxp3LhxKC8vR1aW6qVUUfPmcVJ+TtwMyGprdWe0AWlpaRAIBBgzZgwn5bXUt3PGD+Ck/PkpEtTWWX4CpjFM6VsPDw8cPHiQ02AOAEJPT3RLSITPc8/B0ccHPIEADm5u8Ow/AN3f/wBuJlxO7OHCxztjPDGkpwhernwI+IDYiYewAEcsGOOJru24PYI3fPhwnDlzBhMmTICPjw+EQiECAgLw1ltvITMz0+bPnwM0QifEZHPmzMHy5cuxc+dOjeuNc+Hi3NdanP1uK6qrq3HgwAGMHTsW/v7+nJRpib5dtKtx0pMtj9bN0bf60OfokNDdHZ2mzwCmG3a/AX36282Zj4kRrpgYoTNri5rPWtcmLCwM33//vfGVWRmN0AkxUYcOHRAbG4tdu3ahqqpKJY3Tw+UavpiaJm7Zgj179kAqlbLLZWqjb7u19a25A7C99i15fFFAJ4QDK1euhFQqxaZNm9TS3DlaA9qWz6XX19dj1apViImJwdChQzktW1vfzhms/YYb+rLl0bk5+5a0LhTQCeFA586dsX37dojFYrW0oNAweGlZE0EfthzMgcZV3aZNm4aPPtLvRjOG0Na3fXp0xqCujhr20p8tB3PAvH1LWhc6h04IRyZNmtRiWsCcV+H2/BgUvrfI4HJtPZgDjauVmfN6bW19O2WIO4b3KEPyQf3uka3M1oM5YP6+Ja0HjdAJsRCv9u0bg7Oey0c+MTbGLoK5LWjn64kNs3z0Xgr02a6udhHMCTEEjdAJsTDlmeq5895Ag9JkL6f27dFr9YfWaFaroLxO++JdElTXPUpr6yHA0vH2tVAPIYaggE6IFYVu/tzsdfi/aPv3UTeH5CnmH4FHP+lq9joI0RcdcieEEEJaAQrohBBCSCtAAZ0QQghpBSigE0IIIa0ABXRCCCGkFaCATgghhLQCFNAJIYSQVoCuQyfEis6//joUNdXsc0c/P4SsWctpHYfPSjktT5ktX4f93rclqJE9ukOdrzsfyyZ4cVrH3f3/5rQ8ZY/r+gHEeBTQCbGwnJlxGm+FCgCy+/eRE9d4X2n34cMRFDfTgi2zf/EpErR09+viCgXmp0gAABG9xHh5kLPlGkaIBdAhd0I4oFAoEBYWhtGjR7eYp+Tu3cZg3UIwb67i2DE2uNu669evw8HBAZs3b+a8bH369t6Dh5ivJZg3d+ZSFRvcbZ05+5a0LhTQCeFAamoqcnNzW7wrVsFXX6Jo8XtGlW0PQb1r166YOnUqEhMTUVFRwWnZuvp258kKrP6lwaiy7SGom7NvSetCAZ0QEzU0NCApKQmRkZEYOHCgWvr1c+fw8NQprWWEb9/B/tPEHoL6woULUVxcjI0bN3JWpq6+zb18E1k3ZFrL2DDLh/2niT0EdXP0LVfkFRW4vfMbXHz3HZyb/QouvPkP5H/2KWqKikwuu7JGgR/OSJG0rxTvbJdg6e4SpByvwJ1S/W6VK5PJsGjRIgwbNgzu7u7g8Xjg8XiIiorSmP/8+fOYOHEi2rZtCycnJwQGBuLtt99GcXGxya/FEiigE2KiQ4cOoaioCNOnT9eYXvnxR1r3d1/wjl71aArqUVFRCAwM1Gt/c+vduzfCwsKwZcsWKBQKrXn1bbeuvt16xl3r/rMj9JsQqCmo22vfWpK8rAzXkhJRnJYGmUQCpr4e9ZWVKMvKwtXl/4fKK1eMLru8WoGPDpbh5OValEoVaFAA0loG5wpk+PhgGa7/T66zjOrqaqxZswYZGRmorKzUmvfYsWOIiIjADz/8gOLiYshkMhQWFuLTTz9FREQE7t+/b/RrsRQK6ISYKDU1FTweDxMmTFBL02dkXaEj4DfxfWGcoU2zuNjYWBQVFSE9PZ2T8rT1rT4j661n9JuF/1xfJ4PbZmmm9m2RESPmnLgZWj/Dt3d9C5mk8X3wHfn/0GfTZgS8/gbA44GRyVC05SswDZpPh8xPkWh9D/f/V4pSaeOPl8heIqya4oUZkW7g8QB5A/Dt75VoUGifNSEUCvHGG29g27ZtWo9uyOVyzJw5E7W1teDz+fj2229RUlKCBQsWAABu3ryJd999V2tdtoACOiEmYBgGGRkZ6NGjBzw9PY0up/GLM67FL8/w7TvQcbztX8Y0ePBgAI2jHVNx1bfzUySI39Zy8Ngwywdjw92MLt9STOnbzMxM9OzZE6tXr+asPfVVVSjLzgYA8IRC+L/0EhxcXeE1eDBcu/cAAMgkElT89ZfBZVfXKXC+oPFUilAAjO0nhtiJj35dnBDkJwQAlEoVuHpX+yhdLBZj8+bNmDVrFoKDg1vMd/ToUdy6dQsAMHToUEyZMgVeXl5YtWoVRCIRAGDv3r0oLy83+LVYEgV0Qkxw+fJllJaW4sknn1RLyzB4VrL6aIPv7NzieXVb1L9/fwDA6dOnTS5LW99+/e8sg8pieOrbREJei+fVbZEpfRsSEoJ+/fph8eLFSE5O5qQ9NYWFwN+jbye/duA7OrJpzp06so+rb9wwuOzbJfVoGnz7uAsgdHj0Bvq3EbCPC4p1H3bXR2ZmJvu4T58+7GORSMT+EJDL5Th79iwn9ZkLXYdOiAlu374NAPDz81NL88g8Y1LZ9hTIm7i5uUEkErH9YgptfXuhvLNJZdtTIG9iSt+6urri8OHDGD16NJYsWQKGYbBkyRKT2iNXGq0KXFxU0vjOj67xl1cYPqqtrH3049bFUfXXmEjpeWWNvhcqaqd8frz50SAPDw+N+WyRXQV0uVwOuZybX2SG1Kn8/+NQ9+P4mo2ts6SkBADQpk0b7hrC4yE8dbuGzRqGmVrS8vPzrTKpy8vLCxLJo8PbxrbbHH3LA/CJhmBur30LAIGBgSgsLDSonKVLlyI8PBzR0dHstsrLl3F9tebRe/NTQb3WrW+Wg2nxKQ885N2T4bNfNV9y1/xUyAcTVd9vtZCtUjb3mGbrRCg/1/Y5sQV2FdCPHj0Kl2a/BC0lLS3NKvUaWnd9fT3+Kx2EWoVIY3o/h1/h4a7f+UJ7ec1cqa6u1p2pGee/RyI1NTWctCFo6TK4d+umMS0hIUFtW2pqKsrKyhAfH6+WZsp5Z1PU1NSo/J0a226u+/btUWIEtde8Opy99i0ATJw4US3ItyQ3Nxc5OTnw9vZGly5dTGqLUGnk2tDsb6dBaTljBw/tVyJo4iZ6FDhr6lQDbI380XM3Z24CrPJRoLKyMpU05fPmmo4W2RK7CugjR46Eu7vhHw5TyOVypKWlYcSIERAKhTZbd+L3FZDW6j789Gf9KKC08fHaqe4af3Hay2vmWtOI0BC+vr4AgNLSUk7acGPlCgCaD7drWlglIyMDBQUFLS66YmkKhQLl5eUICQlhtxnbbq77duOvVQCqNB5ut9e+BYB169bptf+pU6cQHR0NHx8fpKeno3v37irpbj17qn3umkbmmj6PDmIxeAIBmIYG1N2/D4VMxp5Hr1U6LeDSJQjt2zuq9XvTyFzT++HixIOADzQoAEllA+T1DHse/d7DR9egB/hy8x0RERHBPv5LaRJfbW0trl+/DqBxxrym+Ry2xK4CulAotPiXvK3X/fEvZSh4oN8iC80t/LbxEFhL5xNt9TWbs05DhYSEgM/nIy8vj9O25MTNQJdPNsCDy0P5FpCXlweFQqEyschY5urb+SkSJL4oRBtPD92ZbYgpfZudnY1Ro0ZBJBIhPT0doaGhJrdH4OICj/4DUJZ5Boxcjrv79qHduHGovHAB0qtXAQCOPj5w793b4LKdHfkIC3DE2XwZ5A3Az39WYVRfF1y5I8eN+43fd16ufHT31/0323T0QnmVPblczm53cXHBiBEj0KlTJ9y6dQsnT57E7t27MWrUKCxfvhy1tbUAGi8btPSA0lB2FdCJKq5WuJqfIsHySe5wd3HUnZmo8PT0RGhoKLKzs8EwjMoRj/JBESZNjLsZPx+AfU2Oa5otHBkZaXJZ2vq2j0e+SRPjEvfLAUjsanKcKX0bHByMyMhIJCcnc/Jjq0nHKVNQfeM6ZBIJio8eQfHRI2waz9ERT7z6GngCgZYSWjZuoCsKistQKlXgxKVanLhUy6YJBcDUIW4Q8HUfcm860qPs9OnT7PaEhAQkJiYiNTUVzz//PGprazFlyhSV/J07d8b69c3nDdgeumzNTnG9XOX731UgLbOA0zIfF+PGjUN5eTmyslQvpYqaN4+T8nPiZkBWW6s7ow1IS0uDQCDAmDFjOCmvpb6dM34AJ+XPT5Ggts7yEzCNYUrfenh44ODBg5wGcwAQenqiW0IifJ57Do4+PuAJBHBwc4Nn/wHo/v4HcOvRw+iyPVz4eGeMJ4b0FMHLlQ8BHxA78RAW4IgFYzzRtR23R/CGDx+OM2fOYMKECfDx8YFQKERAQADeeustZGZm2vz5c4BG6HbJkGCuPAJhGAbxqS2fJz54yRVhwdVo42adw+z2as6cOVi+fDl27typcb1xLlyc+1qLs99tRXV1NQ4cOICxY8fC39+fkzIt0beLdjVOerLl0bo5+lYf+hwdErq7o9P0GcB0w+43oE9/uznzMTHCFRMjdGZtUfNZ69qEhYXh+++/N74yK6MRup0xJJj3DVA9hM7j8SDka/9wr/zR8Jnej7sOHTogNjYWu3btQlVVlUoap4fLNXwxNU3csgV79uyBVCpll8vURt92a+tbcwdge+1b8viigG5Hvj5y16D8YW3V7xD01vOeOvdbsZ9u0WiolStXQiqVYtOmTWpp7hytAW3L59Lr6+uxatUqxMTEYOjQoZyWra1v5wzWfsMNfdny6NycfUtaFwroduTCXcMmrW3PUp/F+/HPuldtWvaibc/ktEWdO3fG9u3bIRaL1dKCQsPgNWSISeXbcjAHGld1mzZtGj76SL8bzRhCW9/26dEZg7qaNpnTloM5YN6+Ja0LnUO3E9//od9tIJtb//NDvDu28dKnNT8+1LBauKoNs3ysskpbazBp0qQW0wLmvAq358eg8L1FBpdr68EcaFytzJzXa2vr2ylD3DG8RxmSDxp++aatB3PA/H1LWg8K6Hbi9yvGzXIukjTodd49wMcB74z1NKoOoh+v9u3htX0HcmbGaTwf3twTY2PgPXGiBVpm/9r5emLDLCA+RaLzRysAPNvVFTFDNK+mSIi9ooBO7GKU0pooz1TPnfcGGpQmezm1b49eqz+0RrNaBeV12hfvkqC67lFaWw8Blo63r4V6CDEEBXQ7cOLsXQDq5w9NJeQD6+IomFtT6ObPzV5H9JOuZq/DFiVPMf9n2/9F279HPXl8UEC3Axn5rtB0r2xTrJ/RBg5GruBECCHE9lBAtwNc3fMXaPn2kYQQQuwbBfTHyFPdRJj09ON5+JUQQlo7ug79MXL6Wi3na8ATQgixDRTQ7YC7s+47ChlifooE6f85x2mZhBBCrIsCuh2I7GLcojLa/JTXEfE0WieEkFaDArodiAw3z92VGDSO1s9cosBOCCH2jgI6we5M7u+vTgghxLIooNuJoT3Nv0zl/BQJss5dMXs9hBBCuEcB3U5MiLDM5WY7c3zw4U90+1RCCLE3FNDtSKi/zCL1SCq4XZWOEEKI+VFAtyOz/595Jsc1t3aa+n3UCSGE2DYK6HbG3HdGWzbOxazlE0IIMQ8K6HbIXEF9TK8q+LahgE4IIfaIArqd4jqor5zkjhGDAjgtkxBCiOVQQLdjG2b5oGs70++vs2GWD1xdHDloESGEEGuhu63ZubeiPQEA7+8pQYWBt1n9ZKY3eDxu14knhBBiHXYR0BmmMVBVVFj++mi5XI7q6mpUVFRAKBTabN0LRzemy2QybDoGlFZpzhc/TApvLy8AQGVlpcn1cs2adTf1R9PnjRBC7IldBPSmL9pOnTpZuSX2b6O1G2AHKisr4eFBl+4RQuwLj7GD4YhCocDdu3fh5uZGh4iJ2TAMg8rKSvj7+4PPp+klhBD7YhcBnRBCCCHa0TCEEEIIaQUooBNCCCGtAAV0QgghpBWggE4IIYS0AhTQCSGEkFaAAjohhBDSClBAJ4QQQloBCuiEEEJIK0ABnRBCCGkFKKATQgghrQAFdEIIIaQVoIBOCCGEtAIU0AkhhJBWgAI6IYQQ0gpQQCeEEEJaAQrohBBCSCtAAZ0QQghpBSigE0IIIa0ABXRCCCGkFfj/K6mDvPrnZBUAAAAASUVORK5CYII=" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 2 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 4 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 4 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 2 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 2 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 0, 4 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 2 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 0, 4 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 3 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 3 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 1 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 0, 4 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 1 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 3 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 0, 4 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 2 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 0, 4 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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66qsq25Valvfcc88xZWVlzG+//cYGd5FIxCgUCnb/lpdLtjZu3Di2PlevXmWkUinz559/MocPH2ZSUlLM1IrEHO7du6fy3vj999917r9o0SJ231GjRjE3b95kbt26xTz11FPs9kWLFrH7GxvQATCvvfYaU1FRwRw8eFDlB0NL2vJnGNM+I48//jhz9epVpra2lrlw4YJhjdqyfkYfSQixSfoG9NraWra3FBUVxTAMw+Tl5bH7vfjii2yewcHBOvMEwIwdO5bdX7mNz+czFRUV7PbY2Fg27c6dO+x2XQE9KSmJAcDweDxm2rRpzLvvvsscOnSIuXv3LtdNR8zs7t27Ku+ZM2fO6Ny/5fvu3Llz7Pb8/Hx2e5cuXdjtxgb0gIAA9q6TDMMwfn5+DADGxcVFJR9dAd3YzwgAprS0tK2m04tZln7lmkKhwO3bt+Hp6Ul3pyJmwzAMqqurERQUxPk1/NaSmJioda14Nzc3TJ8+HR9//DEKCgpw7tw5fP7552z6ggUL2L9brmmvjVgsVtvWqVMnlTXwW16G1NDQoM9TQHJyMgoLC3HkyBHs27ePXVWSz+dj6tSp+Pzzz9WWISa2yd/fH15eXuy57wsXLiAmJkbr/i3fdy1vJNXyvLWm9ybT6kqJpqYmnfXq3r07e9dJoPl9Wl5ebtBNwoz9jAQEBKBr1656l6OLXQT027dvc/aECWnLn3/+iS5duli7GhYxf/58fPzxxwCA9PR0fPnllwCAhx9+GLGxsex+gYGBuHXrFng8Hm7duoXOnTur5dX6SxTQ7+Y/urYDzdf8Hjp0CJWVlTh//jyKioqwb98+/Pjjj/jyyy+RkJCA5557ru0nS6yOz+dj3Lhx+OKLLwA0T3Z8/vnnNf4ga2pqYt93QPNENOW9HlpeMhYYGMj+7eLigsbGRpWZ4gqFAjdu3NBZL33fp7oY+xnRdnMnY9hFQPf09AQAFBUVsX9bikwmw/Hjx/H4448btfqcPZbdHp8z0HwL3R49elj8PWZN/fv3x4ABA5CXl4ft27ezPZn58+er7DdhwgR8+OGHYBgGiYmJ2Lp1KyIiIlBeXo5ff/0Vn376KaZNm4ZZs2YZVQ8/Pz/2S/rs2bMq1x+npaUBaL6/fP/+/REbG4vi4mL8+OOPAIDS0lKjyiTWkZycjO+++w41NTUoKCjA+PHjsW7dOvTp0wc1NTX49ddf8f7772PLli1ISEhgf3C++eab2LVrF3g8Ht588002v4SEBPbv0NBQXLlyBWKxGKdPn8bgwYPx3nvv6XXLbn34+fmhvLwcYrEYt27dUrl/iLk/I3rhZODezKqqqhgATFVVlcXLlkqlzMGDBxmpVNpuym6Pz5lhGEYsFlvtfcalts6hA6r3CNi5c6dKmoeHByORSFTyLC8vZyIjI3Xm2fL+C8pt+pzLZBiGeeWVV9TyU872nTt3rtYynZycmPz8fG4bkJjdsWPHGH9/f53vp/z8fObevXtM9+7dte7TvXt3pqysjM13/fr1bBqPx2M8PDwYoHkmeev3Xctz6K1nlmub06GcoNnyn3JOClefEVM4xolCQojRnn/+eZVRieeee05tlMLX1xc5OTlYt24dYmJi4O7uzt63YeTIkXj33XdNui9BSkoKpk+fjsDAQLXhzokTJ2LKlCkIDw+Hp6cnBAIB/P39ER8fj59++snmVhMjbXv88cdx6dIlrFu3DoMHD4aPjw+cnZ0RHByMxx9/HFu3bkX37t0REBCA3NxcrFy5En369IFIJIKLiwt69+6NFStWIDc3F/7+/my+y5Ytw8qVKxESEgKhUIhevXrh4MGDGDhwICf1/uCDDzBu3Dj4+fmppZn7M6IPu1j6VSKRwNvbG1VVVfDy8rJo2TKZDIcPH8aYMWOsMvxsjbLb43MGmteW9vf3t8r7jBBCTEU9dEIIIcQBUEAnhBBCHAAFdEIIIcQBUEAnhBBCHAAFdEIIIcQBUEAnhBBCHAAFdEIIIcQBUEAnhBBCHAAFdEIIIcQBUEAnhBBCHAAFdEIIIcQBUEAnhBBCHAAFdEIIIcQBUEAnhBBCHICTtStASHt2buFCKOrr2MfCwEBEbtpslbos/6Ic9dIHd1MO8OJj9SRfTsu4feBbTvNrKWjCRLPlTYg9oIBOiIXlz04EGEZjmvTuXeQnzgIAeD3xBMITZ5u1LknpYmiuCVAmUWBxuhgAMKSPO54f7GrWuhBCTEND7oRYSPnt283BWkswb01y7Bgb3Ll25959LNYRzFs7fbGWDe6EENtEAZ0QDigUCkRHR2PMmDEa04t3foLSFcuNypvroL73hAQbv5cbdaytB/Vr167ByckJH330kbWrQojF0ZA7IRzIyMhAQUEB0tLS1NKunT2L6pMndR4fs3sP+7emAJ6fOEtlH2MVXLqB3OteOvfZOsef/VtTAF+cLlbZx5ZERERg+vTpSElJwYwZM+Dlpfu5WlLV2bOozMtFXVERZJWVUDQ2wrlDB7h1C0OncePg2rWr0XnXNChw9FwdSsqacKuiCbK/f68NinDB9GGeHD0DxyGVSvHWW2/hf//7H37//XdUV1cDAOLi4pCdnW3dypmAeuiEmEgul2Pt2rWIi4vDoEGD1NKr39ui83ivJUv1KkdToB8xYgRCQ0P1Oh4Adp3WHeDmDqnRKx9Ngd7QupjLsmXLUFZWhm3btlm7KirKfspExS+/oOHmTchrasDIZJDeu4fKnNO4nLwGVefOGZ13Za0CP19sQHHZg2BOtKurq8OmTZuQnZ3NBnNHQAGdEBMdPnwYpaWlmDlzplqaPsPlkjYCvlLAM+MNrZoKfYbLd5320Cuvp/q7mFQXc+rbty+io6ORlpYGhUJhdD6lpaUG7Z+fOEvn680TCOA7fDi6r34L0Wmfovc/N8GjZ8/mRLkcd/79tdZjF6eLdb5+rkIe4vqIMHO4B0ZF0eTFtjg7O+Oll17CZ599ZnM//ExBQ+6EmCgjIwM8Hg+TJk0yOo/mQMADtExT42K4XV+L08XgMQDD05xuq8PtLU2ZMgWrVq1CVlYWRo4cafDxOTk5eOKJJ/DWW29h+XLj5j60FrrwJQhcHwRbUadOCHrueVxdmwIAaLhzx+i8/TwFmDi4+cfYr5frTapne+Du7s7Os/jhhx+sXBvuUA+dEBMwDIPs7Gz06tULPj4+KmnZBk/MUg/mfFdXToL5p9/mGlYTDcFc5Myzi2AOAEOHDgUAHDt2zKjjIyMjERsbixUrViA1NZWTOrUM5koKqZT9W+jL7TX/pP2hHjohJrh06RIqKioQHx+vluadc9qkvLnslZ+v6mbS8fYSyJUGDBgAADh16pRRx3t4eODIkSMYM2YMVq5cCYZhsHLlSi6rCIVMhjtff8U+9n/K8JEEQlqigE6ICW7evAkACAwM5C5THg8xGbs1bNYyBq4lraioyORJajwA72sI5taoiyE8PT0hEonY16el0NBQlJSUGJTfqlWrEBMTw/5wq750Cdc2au65tz6P3uedd+ESEKCyTV5fjxvbtqL22jUAQIdHHkXA36cGCu9I8eEPEo15tz6PvmZyB/h5Cgx6LsRx2VVAl8lkkMlkFi+z5f/toez2+JyNLbO8vBwA0KFDB07qEL5qNbx69NCYlpycrLYtIyMDlZWVSEpKUktrfQrAUK+Odkd4Z80TrCxdF2P4+vpCLFafSDZ58mSN2zUpKChAfn4+/Pz8EBYWxkm9ZPfv49q776Dhzz8BAP6PP4Eus2bp/JFEiD7sKqAfPXoUbm5uVik7MzPTKuVas+z29pzr6ura3qkV17/Pi9bXczMR6fr6twFoHm5PSUlR25adnY3i4mKNaaba9kMtgFqNw+2Wrosx6uvrNX5fvPPOO3odf/LkScTHx8Pf3x9ZWVnoqZyRDsCzd2+110jZM9d1qqT+5k1cf/cdyCoqAB4PnSdNRqdx41T26d5ZqNbmyp65vZ36IJZlVwF91KhRFl8oQiaTITMzEyNHjoSzs3O7KLs9PmfgQW/bEAF/D6VWVFRwWpf8xFkIe38rvDnq+ZticboYKROc0cHH29pV0ZtCoUBVVRUiIyONOj4vLw+jR4+GSCRCVlYWoqKiTK5T9eXLKNr6PuR1deA5OeGheS/C9+/Je6ZSMAzqGpsnVUqbHkyubJIzqGlovnRP5MyDk4BGAZSUozQSyYPTGzKZjN3u5uZmtQ6ksewqoDs7O1v8S749l93enrMx5UVGRoLP56OwsFAtrWrwEJMmxt1IWgyAm8lx/byLTJoYl3JABsB2V4hrrbCwEAqFAv369TPq+O7duyMuLg6pqalG59HaXwe+hfzvUSCmqQklOz5GyY6PVfbRdL5dH/drFPi/f99X236mSIozRc0/Nqc95oHB3UVG1NwxBWho51OnTrHbk5OTbWa0SV902RohJvDx8UFUVBTy8vLAtLrpyohFizgpIz9xFqQNDSblMW/iQE7qsjhdjIZGy89vMFROTg6A5qU8jeHt7Y1Dhw5xFswJsQS76qETYovGjx+PlJQU5Obmalz6lQsXFszXOvvd0t7cVwXAts/nZmZmQiAQYOzYsRYrs62RlO4rjL/sra229vMU2PTrYYta/wB3BNRDJ8RE8+bNg0AgwN69e9XSOF3hTcMXkHIimj7M/YVvSF3Mqa6uDgcPHsS4ceMQFBRk7eoQYjEU0AkxUXBwMKZMmYJ9+/ahtrZWLd3rtdc4KYeLHwfzhnJzIwpb7g3u378fNTU1WLJkibWrQohFUUAnhAPr169HTU0Ntm/frpYWHhUN32HDTMqfq55+v17dMDhCaFIethzMm5qasGHDBiQkJGD48OHWrg4hFkUBnRAOdOvWDbt374a7u7vG9JB5LyJk4z+NypvrG7NMG+aFFWONmz5jy8EcaF65b8aMGdiyRb872BHiSGhSHCEcmTp1qs50386d4bt7D/JnJ2o8H97aQ+MS4Dd5MlfVU9EpwAdb5wBJ6WIt93dT9WSEBxKG2f4lT6GhoXZ3qREhXKGAToiFtZypXrDoJchbnHd36dwZfYzsyRuj5TrtK/aJUdf4IK2jtwCrJlp/YRtCiH4ooBNiRVEffdz2ThaSOs38w+lBEyaavQxC2is6h04IIYQ4AArohBBCiAOggE4IIYQ4AArohBBCiAOggE4IIYQ4AArohBBCiAOggE4IIYQ4ALoOnRArOrdwIRT1dexjYWAgIjdttkpdln9Rjnrpg3XjArz4WD3Jl9Myjpyp4TS/luIf9jBb3oTYAwrohFiYrqVfpXfvIj9xFgDA64knEJ4426x10bX0a5lEgcXpYgDAkD7ueH6wq1nrQggxDQ25E2Ih5bdvNwdrPdZxBwDJsWNscOfanXv3sVjPddwB4PTFWja4E0JsEwV0QjigUCgQHR2NMWPGaEwv3vkJSlcsNypvroP63hMSbPxebtSxth7Ur127BicnJ3z00UfWrgohFkdD7oRwICMjAwUFBUhLS1NLu3b2LKpPntR5fMtbpGoK4PmJszi5jWrBpRvIve6lc5+Wt0jVFMAXp4tt9jaqERERmD59OlJSUjBjxgx4eel+rpYkk0hw97//Qd2NG6grKQEjkwEAfB97DCEvzjcp7wt/SnGupBGlZU2Q1CvQ2MTAx42Ph/ydMDLKDUG+9FXfWk1NDTZu3Iivv/4aJSUlcHNzw5AhQ7BixQoMGzbM2tUzCvXQCTGRXC7H2rVrERcXh0GDBqmlV7+n+97cXkuW6lWOpkA/YsQIhIaG6nU8AOw6rTvAzR2i36Q1TYHe0LqYy7Jly1BWVoZt27ZZuyoqZPfvo+zoUdReu8YGc66cuFSPnMJG3KmUo7aRQZMcEFcrcKZIis3/qcTFm1JOy7N3tbW1GD58ONavX4+rV6+isbER9+/fx5EjRzBixAjs37/f2lU0CgV0Qkx0+PBhlJaWYubMmWpp+gyXS9oI+EoBz4w3tGoq9Bku33Vav5niT/V3Maku5tS3b19ER0cjLS0NCoXC6HxKS0sN2j8/cZbO11vg5oaAUaMQsnAhAsclGJT34nSxztdPwAcGd3dB0hhvbJ7ph1UTOyA8sLlXrmCAQ7/Xaj22PVq3bh3y8/MBAFOmTMG9e/fw008/wc3NDQqFAgsWLEBFRYWVa2k4CuiEmCgjIwM8Hg+TJk0yOo/mYJCoNSDE7N6DLhMtc+vRxeliJH2mPYBsneOPcTGeFqmLsaZMmYLS0lJkZWUZdXxOTg569+6NjRs3clYnl4AAdJk+A75DH4HQl9vLAWcN98S0xzzRLdAZQiceOnoL8MxAdzb9bpVxcyYcEcMw+Oyzz9jHmzZtQkBAAJ588klMmTIFACCRSPCvf/3LWlU0GgV0QkzAMAyys7PRq1cv+Pj4qKRlGzwxS33OOd/VlZNz559+m2tYTXjq20TOPJs9d97a0KFDAQDHjh0z6vjIyEjExsZixYoVSE1N5bJqZiESqn+Vy1rE8A7u9FWvVFRUhLKyMgCAp6cnQkJC2LR+/fqxf58+fdridTMVzZQgxASXLl1CRUUF4uPj1dK8c0z7QuAikCudr+pm0vH2EsiVBgwYAAA4deqUUcd7eHjgyJEjGDNmDFauXAmGYbBy5Uouq2hWTXIG/817MMw+rDetIaB09+5d9u/WP8K9vb017mcvKKATYoKbN28CAAIDA7nLlMdDTMZuDZs1dJt1pBUVFZk8SY0H4H0NwdwadTGEp6cnRCIR+/q0FBoaipKSEoPyW7VqFWJiYtgfbtWXLuHaRs0999anTfq88y5cAgL0LqvwjhQf/iDRmNb6NMiayR3g5ylQ2dYgVWDXsWoUlzUBAAaGu2B4b5He5bcnTKs1IVo+1vUet1V2FdBlMhlkHM8O1afMlv/betlSqRRFa96CTKz5/Gen1I3wb+PLxd6eM9dlG6K8vBwA0KFDB07qEL5qNbx69NCYlpycrLYtIyMDlZWVSEpKUktr3fsw1Kuj3RHeWXPPztJ1MYavry/EGj4HkydP1rhdk4KCAuTn58PPzw9hYWFcV5FzVXVy7Dgqwe37zePtj/YUYfJQd7sMTubS8sd3ZWWlSlpVVZXG/eyFXQX0o0ePws3NzSplZ2ZmWqVcfcsO/v4QBI2Nbe7314rl+Ovvv0smTNT5Qbf158y1urq6tndqxdW1OeDV19dzUofr698GoHm4PSUlRW1bdnY2iouLNaaZatsPtQBqNQ63W7ouxqivr9f4ffHOO+/odfzJkycRHx8Pf39/ZGVloWfPnmyaZ+/eaq+Rsmdu6qmS7p2Fam2u7JnrOvVx534TdmRKUFmrAA/A07FuGBllne9LWxYWFoaOHTvi3r17qKmpQUlJCXse/fz58+x+gwcPtlYVjWZXAX3UqFEWXyhCJpMhMzMTI0eOhLOzs82VfSM1FXXXrxmVf8iBbwEAfT/dZXC55mLNspW9bUME/D3awfUlLvmJsxD2/lZ4c9TzN8XidDFSJjijg4932zvbCIVCgaqqKkRGRhp1fF5eHkaPHg2RSISsrCxERUWZXCdGoYC8tvm8trzFj2+FrAlN1dUAAL5IBL4R7/trf8nwaZYE9VIGAj4wfZgnYsNs99JCa3vhhRfYKxjeeOMNbN++HefOncPXX38NAPDy8sLUqVOtWUWj2FVAd3Z2tviXvC2XzdWSoH/Mm4veH3wIUasfS7b4nM1dpqEiIyPB5/NRWFiollY1eIhJE+NuJC0GwM3kuH7eRSZNjEs5IANguyvEtVZYWAiFQqEya9kQ3bt3R1xcHFJTU43OozVpeTkuvv6a2vbKnNOo/Pt98tC8F+FnxCplR/Jr2TvlyRXAnp+rsefnapV9NJ1vb69Wr16NH3/8Efn5+fjqq6/w1VdfsWl8Ph+ffPIJfDm+tNAS6FoGO8X1+t6XXnkZlw8f5jTP9sDHxwdRUVHIy8tTm2AzYtEiTsrIT5wFaUODSXnMmziQk7osThejodHy8xsMlZOTAwCIi4sz6nhvb28cOnSIs2BObIu7uzt+/vlnrFq1Ct27d4dQKISPjw9Gjx6N48eP47nnnrN2FY1iVz100syQYN6yd8cwDM7OTtS6b/2/9qM6NhYiO/xlak3jx49HSkoKcnNzNS79yoULC+Zrnf1uaW/ua544ZMu99czMTAgEAowdO9ZiZbY1kuISEGD0aEtbbf1KvI9R+bZnnp6eePvtt/H2229buyqcoR66nTEkmPsMHKDymMfjAU66f8Nde2OZUfVqz+bNmweBQIC9e/eqpXF5Lbmm264qJ6Lpw9wB2JC6mFNdXR0OHjyIcePGISgoyNrVIcRiKKDbkQsfGHazCemQR9S29Vi1us3jLi+joG6I4OBgTJkyBfv27UNtrfqa2V6vqZ83NQYXPw7mDa1ueyc92HLvfP/+/aipqcGSJUusXRVCLIoCuh2R5uUZtH+dhh8AV/9vbZvH9dq82aByCLB+/XrU1NRg+/btamnhUdHwNfF2jFz19Pv16obBEUKT8rDlYN7U1IQNGzYgISEBw4cPt3Z1CLEoCuh24s/PjftCv7I2hf378urVGodtW+J0iLgd6datG3bv3g13d3eN6SHzXkTIxn8alTfXr8m0YV5YMda46TO2HMyB5pX7ZsyYgS1b9LuDHSGOhCbF2QnxTz8ZdVzdjRt6nXd37dYNvVLa7r0T7dq6btW3c2f47t6D/NmJbf6wAoCHxiXAb/JkrqqnolOAD7bOAZLSxRpuCaPuyQgPJAyz/eVDQ0NDbWZhG0IsjQI6oV65hbWcqV6w6CV2sREAcOncGX2M7Mkbo+U67Sv2iVHXYrHBjt4CrJpo/YVtCCH6oYBuB64b2Ttvk5MTYnZ91vZ+xGyiPvrY2lVgpU4z/3B6/MMeZi+DkPaKArodkJlhwZeoXZ9B0MYlbIQQQuwHfaPbgSZJVds76ctGFichhBDCLQro7Yj/iMfRdc4ca1eDEEKIGdBla+2IOPs452vAE0IIsQ0U0O2AwJvb21bmJ85C3tGjnOZJCCHEuiig2wGX+DGc5yn4Ym/z9dCEEEIcAgV0OxD21FPmyZhhkJ84C6W//mqe/AkhhFgMTYojKE/bifK0nbTAjBWcW7gQivo69rEwMBCRm7hdS//2gW85za+loAkTzZa3qZZ/UY566YN18AK8+Fg9idtbAx85U8Npfi3RNfvEUBTQ7UTAyFEoyzTvee/8xFkQ/uMf6BHzsFnLae90Lf0qvXuXnbjo9cQTCE+cbcGa2T9dS9mWSRRYnC4GAAzp447nB7tarmKEWAANuduJLjNmWKQc6fbtKFy9yiJlORKFQoHo6GiMGaN9vkP57dvNwVqPddwBQHLsmN1clXDt2jU4OTnho48+4jxvfdr2zr37WKznuvQAcPpiLRvcbZ0525Y4FgrodkQ4cJBFymm8e9ci5TiSjIwMFBQUaL0xSPHOT1C6YrlRedtDUI+IiMD06dORkpICiUTCad5tte3eExJs/F5uVN72ENTN2bbEsVBAtyORL79skXL6pn1qkXIchVwux9q1axEXF4dBg9R/dF07exb3T57UmUfM7j3sP03sIagvW7YMZWVl2LZtG2d5ttW2BZduIPe6VGceW+f4s/80sYegbo625YpMIsHNvZ/jwmtLcXbuCzj/8j9Q9OEHqC8tNTnv6noFvjldg7VfV2DpbjFWfVmO9OMS3KpoMjrPM2fOYOLEiYiIiIC3tzecnJzg5+eHuLg4pKWlgdFzBM0WUUC3M+aeuBbB8YSs9uDw4cMoLS3FzJkzNaZXv6f73txeS5bqVY6moD5ixAiEhobqdby59e3bF9HR0UhLS4NCodC5r771bqttd5320nn83CH6TVrTFNTttW0tSVZZiatrU1CWmQmpWAymqQlN1dWozM3FlXX/h+rLl43Ou6pOgS2HKnHiUgMqahSQK4CaBgZni6V471Alrv0lMyrfixcv4sCBA7h+/TokEgnkcjkqKipw4sQJzJ8/H6+//rrRdbY2Cuh2yFxB3XXqc/AMDDRL3o4sIyMDPB4PkyZNUkvTp2ctaSPgKwU8M97QqlnclClTUFpaiqysLE7y09W2+vSsd53Wb6b4U/1dDK6bpZnatqVG9JjzE2fpfA/f3PcFpOLm1yFg1P9Dv+0fIWThSwCPB0YqRWnaTjByzadDFqeLdb6GB/5Xg4qa5h8vcX1E2DDNF7PiPMHjATI58MUv1ZArDO9Nh4eHY8eOHSgsLER9fT1u3ryJxMQHa3Ls2rXL4DxtBQV0O8V1UO+zfTt66Zh0RDRjGAbZ2dno1asXfHx8jM6n+YszUeuXZ8zuPegy0XYvEVMaOnQoAODYsWMm58VV2y5OFyPpM+3BY+scf4yL8TQ6f0sxpW1zcnLQu3dvbNy4kbP6NNXWojIvDwDAc3ZG0LPPwsnDA75Dh8KjZy8AgFQshuSPPwzOu65RgXPFzadSnAXAuFh3uLvwERvmgvBAZwBARY0CV24b3ksfOnQoFixYgIiICIhEIgQHB2Pp0gejZEKh0OA8bQUFdDsWs3sPPHr14iQfFw/b/0KzRZcuXUJFRQUeflj9Ur9sg2clq/c2+K6udrU+wIABAwAAp06dMjkvXW376be5BuXF8NS3iZx5Ws+r2yJT2jYyMhKxsbFYsWIFUlNTOalPfUkJ8Hfv2yWwE/gtAqFr1y7s33XXrxuc983yJig73/5eAjg7PXgBgzoI2L+Ly4wbdldSKBT4888/sWXLg1GylsHd3tB16Hau+4qVAIDzr76MpirDZsD2z9gNHk/DNx3R282bNwEAgRpOVXjnnDYpb3sK5Eqenp4QiURsu5hCV9uer+pmUt72FMiVTGlbDw8PHDlyBGPGjMHKlSvBMAxWrlxpUn1kVQ9u6yxwc1NJ47s+uMZfZsTtn6sbHvy4dROqfkeJWjyurjd+AtuQIUOQk5PDPnZycsKmTZuwZMkSo/O0NrsK6DKZDDKZab/IjCmz5f+2Wnavd98DAEilUhQnJ0Nadk/jfkH/3ARfPz8AQFOT5pmi9vKczVW2IcrLywEAHTp04K4iWu5Zr+vHl6a0oqIiq0zq8vX1hVj8YHjb2Hqbo215AN7XEMzttW0BIDQ0FCUlJQbls2rVKsTExCA+Pp7dVn3pEq5t1Nx7b30qqM8777bag9H6kAceCu9I8eEPmjscrU+FrJms+nqrhWyVvLnT1NSEpUuXQiaT4Y033uAwZ8uxq4B+9OhRuLX6JWgJXhcvIOfiBYuXCwA3Qv8fPvnukmEHxT6vPe34LQC39MikCzIzM/UusqmpCf+rGYwGhUhzlZx+gLeX/sP6hpTNlbq6urZ3asX1755IfX09J3UIX7UaXj16aExLTk5W25aRkYHKykokJSWppZly3tkU9fX1Kp9TY+vNddu+Otod4Z01rw5nr20LAJMnT1YL8toUFBQgPz8ffn5+CAsLM6kuzi3uAilv9dmRt1jO2Mlb95UImniKHoTq+kbVkF4ve/DY09X4kH769GnI5XL89ddf2LVrF/seWL16NebMmYOAgACj87YWuwroo0aNgpeX4W8OU8hkMuRcvICw8HAI+JadciBXKHBWDoSHhYEvELR9AEcUcjmu37iBkSNHwtnZWee+Kf+WoKah7WGv35tGAxXNf2+e7qW1RySTyZCZmalX2VxT9ggNofzQV1RUcFKH6+vfBqB5uF3TwirZ2dkoLi7WuuiKpSkUClRVVSEyMpLdZmy9uW7bbT/UAqjVONxur20LAO+8845ex588eRLx8fHw9/dHVlYWevbsqZLu2bu32vtO2TPX9H50cncHTyAAI5ej8e5dKKRS9jx6Q4vTAm5h4ejcWajW7sqeuabXw82FBwEfkCsAcbUcsiaGPY9+5/6DkcWQANO+IwQCAYKDg7FmzRps2bIFVVVVkMlkuHHjBgV0c3N2drb4l7ySgM+3aFBlyQG+QGDxHxOA7vZ+7/tKFN8zbnGHZV80D73pOo9pjdfamPIiIyPB5/NRWFjIaV3yE2ch7P2t8OZyKN8CCgsLoVAo0K9fP5PzMlfbLk4XI2WCMzr4eLe9sw0xpW3z8vIwevRoiEQiZGVlISoqyuT6CNzc4D1gICpzToORyXD766/Rafx4VJ8/j5orVwAAQn9/ePXta3DerkI+okOEOFMkhUwO/Pf3Wozu74bLt2S4frf5e8fXg4+eQYZ/ZpOSkjBs2DDExsYiKCgIFRUV2LVrF6r+nhMgEAjQrZtpczSsxa4COrENXK2stThdjHVTveDlZr+Xifj4+CAqKgp5eXlgGEZl5KFq8BCTJsbdSFoMwL4mxyknGcXFxZmcl6627eddZNLEuJQDMgBiu5ocZ0rbdu/eHXFxcUhNTeXkx5ZSl2nTUHf9GqRiMcqO/oiyoz+yaTyhEA+9OB88IztC4wd5oLisEhU1Cvx8sQE/X2xg05wFwPRhnhDwDR9yP3jwILZu3ao1fcWKFejYsaNRdbY2umyNGITrZTLf+pcEmTnFnOZpaePHj0dVVRVyc1UvpRqxaBEn+ecnzoK0oaHtHW1AZmYmBAIBxo4dy0l+2tp23sSBnOS/OF2MhkbLT8A0hilt6+3tjUOHDnEazAHA2ccHPZJT4P/UUxD6+4MnEMDJ0xM+Awai51tr4GnCZbXebnwsHeuDYb1F8PXgQ8AH3F14iA4RYslYH0R0Mm4Eb+HChRgxYgQ6d+4MoVAIoVCIrl27YsKECTh06BDWrVtndJ2tjXroRG+GBPOWPR+GYZCUof389KGLHojuXoeOvpaf8MiFefPmYd26ddi7d6/G9ca5cGHBfK2z321FXV0dDh48iHHjxiEoKIiTPC3Rtm/uax5qteXeujnaVh/6jA45e3mh68xZwEzD7jegT3t7uvIxeYgHJg8xKGudli9fjuXLjbtRkq2jHjrRiyHBvH+I6hA6j8eDM1/3xLn13xk+w9xWBAcHY8qUKdi3bx9qa2tV0jgdLtdw0wjlxC1bsH//ftTU1Oh1Ha++9dbVtuYOwPbatqT9ooBO2vTpj7cN2j+6Y5natlee9mnzuOSvuJnNbA3r169HTU0Ntm/frpbm9dprnJRhy+fSm5qasGHDBiQkJGD48OGc5q2rbecNreakDFvunZuzbYljoYBO2nT+tmGT1nbnqs8efu+/ba8WtXaKr0Hl2JJu3bph9+7dcHd3V0sLj4qG77BhJuVvy8EcaF7VbcaMGSpLaHJFV9v269UNgyNMm1Rpy8EcMG/bEsdC59CJTv/+Tb/bT7b27n/v47VxzZdcbfruvoZVylXZ+peqPqZOnao1LWTei/B8eixKlr9pcL62HsyB5tXKzHm9tq62nTbMC0/0qkTqIcMvo7SH952525Y4DgroRKdfLhs3u7pULNfrvHuIvxOWjvMxqgx749u5M3x370H+7ESN58Nbe2hcAvwmT7ZAzexfpwAfbJ0DJKWL2/zxCABPRnggYZjmVQ0JsVcU0InV2EPvyBxazlQvWPQS5C0me7l07ow+G/9pjWo5hJbrtK/YJ0Zd44O0jt4CrJpoXwv1EGIICuhEq5/P3Aagft7SVM584J3E9hnMW4v66GOzlxE0wfbvo24OqdPM/x6Lf9jD7GUQoi8K6ESr7CIPaLpHtynendUBTtZYQpcQQhwcBXSilSn3Gm5N220rCSGEcIMCOjG7R3qIMPVRGpokhBBzouvQidmdutrA+RrwhBBCVFFAJ1p5uRp+JyNdFqeLkfXrWU7zJIQQ0owCOtEqLsy4RWV0+U9hFyRRb50QQjhHAZ1oFRdjnrs6MWjurZ++SIGdEEK4QpPiiNV8mQN8mSNutwvMAMC5hQuhqH9wpzlhYCAiN23mtIwjZ7gfaVGy5euwl39Rjnrpgys1Arz4WD2J2/sF3D7wLaf5tdRe1w8gxqOATnQa3luEE5eMW/5VX4vTxZgRI8bA/r3MWo6t0LX0q/TuXeQnNt9X2uuJJxCeONuCNbN/upZ+LZMo2MmZQ/q44/nBrparGCEWQEPuRKdJQyzTA9ub74/139rv7VMVCgWio6MxZswYrfuU377dHKz1WMcdACTHjrHB3dZdu3YNTk5O+OijjzjPW5+2vXPvPhbruY47AJy+WGs3V16Ys22JY6GATtoUFSS1SDllVQqLlGMOGRkZKCgo0HpXrOKdn6B0xXKj8raHoB4REYHp06cjJSUFEomE07zbatu9JyTY+L3cqLztIaibs22JY6GATto09/+ZZ3Jca/a6kpxcLsfatWsRFxeHQYMGqaVfO3sW90+e1JlHzO497D9N7CGoL1u2DGVlZdi2bRtnebbVtgWXbiD3uu4fnFvn+LP/NLGHoG6OtuWKTCLBzb2f48JrS3F27gs4//I/UPThB6gvLTU57+p6Bb45XYO1X1dg6W4xVn1ZjvTjEtyqMPxWuUpnzpzBxIkTERERAW9vbzg5OcHPzw9xcXFIS0sDo+cImi2igE70Yu6Ja6vHu5k1f3M6fPgwSktLMXPmTI3p1e9t0Xm815KlepWjKaiPGDECoaGheh1vbn379kV0dDTS0tKgUOgebdG33m217a7TXjqPnztEvwmBmoK6vbatJckqK3F1bQrKMjMhFYvBNDWhqboalbm5uLLu/1B9+bLReVfVKbDlUCVOXGpARY0CcgVQ08DgbLEU7x2qxLW/ZEble/HiRRw4cADXr1+HRCKBXC5HRUUFTpw4gfnz5+P11183us7WRgGd6M1cQX1sn1oEdLDfgJ6RkQEej4dJkyappenTs5a0EfCVAp4Zb2jVLG7KlCkoLS1FVlYWJ/npalt9eta7Tus3B+Sp/i4G183STG3bUiN6zPmJs3S+h2/u+wJScfPrEDDq/6Hf9o8QsvAlgMcDI5WiNG0nGLnm0yGL08U6X8MD/6tBRU3zj5e4PiJsmOaLWXGe4PEAmRz44pdqyBWG96bDw8OxY8cOFBYWor6+Hjdv3kRiYiKbvmvXLoPztBUU0IlBuA7q66d6YeTgEE7ztCSGYZCdnY1evXrBx8fH6HyavzgTtX55xuzegy4Tbf8ypqFDhwIAjh07ZnJeXLXt4nQxkj7THjy2zvHHuBhPo/O3FFPaNicnB71798bGjRs5q09TbS0q8/IAADxnZwQ9+yycPDzgO3QoPHo2X7EiFYsh+eMPg/Oua1TgXHHzqRRnATAu1h3uLnzEhrkgPNAZAFBRo8CV24b30ocOHYoFCxYgIiICIpEIwcHBWLr0wSiZUCg0OE9bQQGdGGzrHH9EdDL9isetc/zh4Wa/Hx4AuHTpEioqKvDwww+rpWUbPCtZvbfBd3XVel7dFg0YMAAAcOrUKZPz0tW2n36ba1BejIZVjEXOPLtaA8GUto2MjERsbCxWrFiB1NRUTupTX1IC/N37dgnsBH6LQOjatQv7d9316wbnfbO8CcrOt7+XAM5OD17AoA4Pbr9cXGbcsLuSQqHAn3/+iS1bHoyStQzu9oauQydGeSXeBwDw1v5ySAy8zer7s/3A43G7Try13Lx5EwAQGBioluadc9qkvO0pkCt5enpCJBKx7WIKXW17vqqbSXnbUyBXMqVtPTw8cOTIEYwZMwYrV64EwzBYuXKlSfWRVVWxfwvcVE+Z8V0fXOMvk1TBUNUND75T3ISq3xWiFo9NucXzkCFDkJOTwz52cnLCpk2bsGTJEqPztDa7CugymQwymWm/yIwpEwDkVpiIoixToeUclLkoy9OnrddMap6UJJVK8e7hRpTXaG6nFfFy+Pk1r9LV1KR9hqqyTEu/zsaWWV5eDgDo0KEDdxXh8RCTsVvDZu0/gjSlFRUVWWVSl6+vL8TiB8PbxtbbHG3Lg+arKey1bQEgNDQUJSUlBuWzatUqxMTEID4+nt1WfekSrm3U3HtvfSqozzvvttqD0fqQBx4K70jx4Q+aL7lrfSpkzWTV11stZKvkzZ2mpiYsXboUMpkMb7zxBoc5W45dBfSjR4/Czc0Kk6f6ROKs5UsFAIThJpi/bsKyIR0IcwMyMw3rCUQLAWhZWbPFD2G9ZGZmGnYAB+rq6treqRXXv3si9fX1nNQhfNVqePXooTEtOTlZbVtGRgYqKyuRlJSklmbKeWdT1NfXq3xOja0312376mh3hHfWvDqcvbYtAEyePFktyGtTUFCA/Px8+Pn5ISwszKS6OHt7s3/LW3125C2WM3by1n0lgiaeogehur5RNaTXyx489jThjpCnT5+GXC7HX3/9hV27drHvgdWrV2POnDkICAgwOm9rsauAPmrUKHh5Gf7mMIVMJkNmZiZGjhwJZ2fndlF2e3zOwIPetiGUH/qKCm5Wubu+/m0AmofbNS2skp2djeLiYq2LrliaQqFAVVUVIiMj2W3G1pvrtt32Qy2AWo3D7fbatgDwzjvv6HX8yZMnER8fD39/f2RlZaFnz54q6Z69e6u975Q9c03vRyd3d/AEAjByORrv3oVCKmXPoze0OC3gFhaOzp2Fau2u7Jlrej3cXHgQ8AG5AhBXyyFrYtjz6HfuPxjhCwkw7TtCIBAgODgYa9aswZYtW1BVVQWZTIYbN25QQDc3Z2dni3/Jt+ey29tzNqa8yMhI8Pl8FBYWclqX/MRZCHt/K7y5HMq3gMLCQigUCvTr18/kvMzVtovTxUiZ4IwOPt5t72xDTGnbvLw8jB49GiKRCFlZWYiKijK5PgI3N3gPGIjKnNNgZDLc/vprdBo/HtXnz6PmyhUAgNDfH159+xqct6uQj+gQIc4USSGTA//9vRaj+7vh8i0Zrt9tDui+Hnz0DDL8M5uUlIRhw4YhNjYWQUFBqKiowK5du1D195wAgUCAbt1Mm6NhLXYV0AmxNT4+PoiKikJeXh4YhlE531o1eIhJE+NuJC0GYF+T45STjOLi4kzOS1fb9vMuMmliXMoBGQD7utOfKW3bvXt3xMXFITU1lZMfW0pdpk1D3fVrkIrFKDv6I8qO/sim8YRCPPTifPAEAh05aDd+kAeKyypRUaPAzxcb8PPFBzeJchYA04d5QsA3fMj94MGD2Lp1q9b0FStWoGPHjkbV2drosjVCTDR+/HhUVVUhN1f1UqoRixZxkn9+4ixIG8x7xzuuZGZmQiAQYOzYsZzkp61t500cyEn+i9PFaGi0/ARMY5jStt7e3jh06BCnwRwAnH180CM5Bf5PPQWhvz94AgGcPD3hM2Ager61Bp69jL+DorcbH0vH+mBYbxF8PfgQ8AF3Fx6iQ4RYMtYHEZ2MG8FbuHAhRowYgc6dO0MoFEIoFKJr166YMGECDh06hHXr1hldZ2ujHjohJpo3bx7WrVuHvXv3alxvnAsXFszXOvvdVtTV1eHgwYMYN24cgoK4Wf/fEm375r7moVZb7q2bo231oc/okLOXF7rOnAXMNOx+A/q0t6crH5OHeGDyEIOy1mn58uVYvty4GyXZOuqhE2Ki4OBgTJkyBfv27UNtba1KGqfD5RpuGqGcuGUL9u/fj5qaGr2u49W33rra1twB2F7blrRfFNAJ4cD69etRU1OD7du3q6V5vfYaJ2XY8rn0pqYmbNiwAQkJCRg+fDineetq23lDqzkpw5Z75+ZsW+JYKKATwoFu3bph9+7dcHd3V0sLj4qG77BhJuVvy8EcaF7VbcaMGSpLaHJFV9v269UNgyNMWz7YloM5YN62JY6FzqETwpGpU6dqTQuZ9yI8nx6LkuVvGpyvrQdzoHm1MnNer62rbacN88ITvSqResjwe2TbejAHzN+2xHFQD50QC/Ht3Lk5OOu5jv1D4xLsIpjbgk4BPtg6x1/vpUCfjPCwi2BOiCGoh06IhbWcqV6w6CXIW0z2cuncGX02/tMa1XIILddpX7FPjLrGB2kdvQVYNdG+FuohxBAU0AmxoqiPPjZ7GfEPe5i9DFuUOs38PfCgCbZ/j3rSftCQOyGEEOIAKKATQgghDoACOiGEEOIAKKATQgghDoACOiGEEOIAKKATQgghDoACOiGEEOIAKKATQgghDoACOiGEEOIAKKATQgghDoACOiGEEOIAKKATQgghDoACOiGEEOIAKKATQgghDoACOiGEEOIAKKATQgghDoACOiGEEOIAnKxdAX0wDAMAkEgkFi9bJpOhrq4OEokEzs7O7aLs9vicAaC6uhrAg/cbIYTYE7sI6Mov2q5du1q5JqQ9qK6uhre3t7WrQQghBuExdtAdUSgUuH37Njw9PcHj8axdHeKgGIZBdXU1goKCwOfT2ShCiH2xi4BOCCGEEN2oG0IIIYQ4AArohBBCiAOggE4IIYQ4AArohBBCiAOggE4IIYQ4AArohBBCiAOggE4IIYQ4AArohBBCiAOggE4IIYQ4AArohBBCiAOggE4IIYQ4AArohBBCiAOggE4IIYQ4AArohBBCiAOggE4IIYQ4AArohBBCiAOggE4IIYQ4AArohBBCiAOggE4IIYQ4gP8P84MtlFMfwGcAAAAASUVORK5CYII=" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 0, 4 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 0, 2 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 3 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 3 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 2 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 0, 4 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 3 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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lU15ezrzzzjtK25s0L2/KlClMcXEx89tvv7HBXSQSMQqFgt2/+e2SLY0bN46tz82bNxmpVMr88ccfzJEjR5iEhAQjtSIxhkePHil9Nv773/9q3H/+/PnsvqNGjWLu3r3L3Lt3jxkxYgS7ff78+ez++gZ0AMx7773HlJaWMocOHVL6wdBca/kzjGH/R5599lnm5s2bTHV1NXP16lXdGrV5/fQ+khBikbQN6NXV1WxvKSIigmEYhsnKymL3e+2119g8O3furDFPAMzYsWPZ/Zu28fl8prS0lN3er18/Nu3Bgwfsdk0BfeHChQwAhsfjMVOnTmU2bdrEHD58mHn48CHXTUeM7OHDh0qfmYsXL2rcv/nn7vLly+z27OxsdnuXLl3Y7foGdF9fX3bVSYZhGG9vbwYA4+DgoJSPpoCu7/8RAExRUVFbTacVo0z9yjWFQoH79+/D1dWVVqciRsMwDKqqquDv78/5PfzmEh8f3+pc8U5OTpg2bRq++OIL5OTk4PLly/j222/Z9Hnz5rGPm89p3xqxWKyyrWPHjkpz4De/Damurk6bl4CVK1ciLy8PR48exd69e9lZJfl8PiZPnoxvv/1WZRpiYpl8fHzg5ubGXvu+evUqoqKiWt2/+eeu+UJSza9bq/tsMi3ulGhoaNBYr5CQEHbVSaDxc1pSUqLTImH6/h/x9fVF165dtS5HE6sI6Pfv3+fsBRPSlj/++ANdunQxdzVM4vXXX8cXX3wBAEhOTsa+ffsAAE8++ST69evH7ufn54d79+6Bx+Ph3r176NSpk0peLb9EAe0W/9G0HWi85/fw4cMoLy/HlStXkJ+fj7179+LYsWPYt28fYmNjMWXKlLZfLDE7Pp+PcePG4bvvvgPQONjxlVdeUfuDrKGhgf3cAY0D0ZrWemh+y5ifnx/72MHBAfX19UojxRUKBe7cuaOxXtp+TjXR9/9Ia4s76cMqArqrqysAID8/n31sKjKZDKdOncKzzz6r1+xz1lh2e3zNQOMSuj169DD5Z8yc+vbti/79+yMrKwvbtm1jezKvv/660n4vvfQSPvvsMzAMg/j4eGzZsgXdu3dHSUkJfv31V3z99deYOnUqZs6cqVc9vL292S/pS5cuKd1/vGPHDgCN68v37dsX/fr1Q0FBAY4dOwYAKCoq0qtMYh4rV67ETz/9BIlEgpycHIwfPx6JiYno1asXJBIJfv31V2zevBkff/wxYmNj2R+cS5Yswc6dO8Hj8bBkyRI2v9jYWPZxYGAgbty4AbFYjAsXLmDQoEH45JNPtFqyWxve3t4oKSmBWCzGvXv3lNYPMfb/Ea1wcuLeyCoqKhgATEVFhcnLlkqlzKFDhxipVNpuym6Pr5lhGEYsFpvtc8altq6hA8prBGzfvl0pzcXFhamsrFTKs6SkhAkPD9eYZ/P1F5q2aXMtk2EY5u2331bJr2m075w5c1ot087OjsnOzua2AYnRnTx5kvHx8dH4ecrOzmYePXrEhISEtLpPSEgIU1xczOa7Zs0aNo3H4zEuLi4M0DiSvOXnrvk19JYjy1sb09E0QLP5X9OYFK7+jxjCNi4UEkL09sorryidlZgyZYrKWQovLy9kZGQgMTERUVFRcHZ2ZtdtGDlyJDZt2mTQugQJCQmYNm0a/Pz8VE53TpgwAXFxcQgODoarqysEAgF8fHwQExODEydOWNxsYqRtzz77LHJzc5GYmIhBgwbBw8MDQqEQnTt3xrPPPostW7YgJCQEvr6+yMzMxLJly9CrVy+IRCI4ODggLCwMS5cuRWZmJnx8fNh8Fy9ejGXLliEgIAD29vbo2bMnDh06hAEDBnBS708//RTjxo2Dt7e3Spqx/49owyqmfq2srIS7uzsqKirg5uZm0rJlMhmOHDmCMWPGmOX0sznKbo+vGWicW9rHx8csnzNCCDEU9dAJIYQQG0ABnRBCCLEBFNAJIYQQG0ABnRBCCLEBFNAJIYQQG0ABnRBCCLEBFNAJIYQQG0ABnRBCCLEBFNAJIYQQG0ABnRBCCLEBFNAJIYQQG0ABnRBCCLEBFNAJIYQQG0ABnRBCCLEBduauACHt2eU33oCitoZ9bu/nh/D1G8xSl/e/K0Gt9PFqyr5ufKyY6MVpGfcP/pPT/Jrzf2mC0fImxBpQQCfExLJnxQMMozZN+vAhsuNnAgDcnnsOwfGzjFqXhcliqK8JUFypwIJkMQBgcC9nvDLI0ah1IYQYhk65E2IiJffvNwbrVoJ5S5UnT7LBnWsPHpVhgYZg3tKFa9VscCeEWCYK6IRwQKFQIDIyEmPGjFGbXrD9KxQtfV+vvLkO6nvOVGLdz3K9jrX0oH7r1i3Y2dnh888/N3dVCDE5OuVOCAdSUlKQk5ODHTt2qKTdunQJVefOaTw+atdu9rG6AJ4dP1NpH33l5N5B5m03jftsme3DPlYXwBcki5X2sSTdu3fHtGnTkJCQgOnTp8PNTfNrNaWKS5dQnpWJmvx8yMrLoaivh9DTE07dgtBx3Dg4du2qd96SOgWOX65BYXED7pU2QPbX77WB3R0wbagrR6/AtkgkEqxbtw4HDhxAYWEhnJycMHjwYCxduhRDhw41d/X0Qj10Qgwkl8uxatUqREdHY+DAgSrpVZ98rPF4t0XvalWOukA/fPhwBAYGanU8AOy8oDnAzRks0SofdYFe17oYy+LFi1FcXIytW7eauypKik+kovTsWdTdvQu5RAJGJoP00SOUZ1zA9ZUfouLyZb3zLq9W4PS1OhQUPw7mpHXV1dUYNmwY1qxZg5s3b6K+vh5lZWU4evQohg8fjv3795u7inqhgE6IgY4cOYKioiLMmDFDJU2b0+WVbQT8Jr4vjte1akq0OV2+84KLVnmN6OtgUF2MqXfv3oiMjMSOHTugUCj0zqeoqEin/bPjZ2p8v3kCAbyGDUPIig8QueNrhH20Hi6hoY2Jcjke/ONAq8cuSBZrfP8c7XmI7iXCjGEuGBVBgxfbkpiYiOzsbABAXFwcHj16hBMnTsDJyQkKhQLz5s1DaWmpmWupOwrohBgoJSUFPB4PEydO1DuPxmAQ32pAiNq1G10mmOa2rAXJYiz8pvUAsmW2D8ZFWfZp3Li4OBQVFSEtLU2v4zMyMhAWFoZ169ZxVqfAN95EwJy5cAkJAd/eHqKOHeE/5RU2ve7BA73z9nYVYMIgF/QPFsHdmb7WNWEYBt988w37fP369fD19cXzzz+PuLg4AEBlZSW+//57c1VRb/TOE2IAhmGQnp6Onj17wsPDQyktXeeBWapjzvmOjpxcO//6n5m61YSnuk0k5FnstfOWhgwZAgA4efKkXseHh4ejX79+WLp0KZKSkjipk8BRteeskErZx/Ze3N7zT9TLz89HcXExAMDV1RUBAQFsWp8+fdjHFy5cMHndDEWD4ggxQG5uLkpLSxETE6OS5p5h2BcCF4G8yZWKbgYdby2BvEn//v0BAOfPn9freBcXFxw9ehRjxozBsmXLwDAMli1bxmUVoZDJ8ODAD+xznxEjOc2fqPfw4UP2ccsf4e7u7mr3sxYU0AkxwN27dwEAfn5+3GXK4yEqZZeazWq6zRrS8vPzDR6kxgOwWU0wN0dddOHq6gqRSMS+P80FBgaisLBQp/yWL1+OqKgo9odbVW4ubq1T33Nvedmk18ZNcPD1Vdomr63Fna1bUH3rFgDA86mn4TuyMaDnPZDis18q1ebd8jLIh5M84e0q0Om1kMeYFnNCNH+u6TNuqawqoMtkMshkMpOX2fzf9lB2e3zN+pZZUlICAPD09OSkDsHLV8CtRw+1aStXrlTZlpKSgvLycixcuFAlrWXvQ1fvjHZGcCf1A6xMXRd9eHl5QSxWHQcwadIktdvVycnJQXZ2Nry9vREUFMRJvWRlZbi1aSPq/vgDAODz7HPoMnOmVQYQa9T8x3d5eblSWkVFhdr9rIVVBfTjx4/DycnJLGWnpqaapVxzlX2npgu++inX5OUCQJCTeV5zTU1N2zu14PjXddHa2lpO6nB7zWoA6k+3JyQkqGxLT09HQUGB2jRDbf2lGkC12tPtpq6LPmpra9V+X2zcuFGr48+dO4eYmBj4+PggLS0NoU0j0gG4hoWpvEdNPXNNl0pq797F7U0bISstBXg8dJo4CR3HjVPaJ6STvUqbN/XMre3ShyUKCgpChw4d8OjRI0gkEhQWFrLX0a9cucLuN2jQIHNVUW9WFdBHjRpl8okiZDIZUlNTMXLkSAiFwnZRtkwmw1c/5SI4KAh8gWlP5ynkcjB/3jVLezf1tnXh+9epVK5vccmOn4mgzVvgzlHP3xALksVIeEkITw/3tne2EAqFAhUVFQgPD9fr+KysLIwePRoikQhpaWmIiIgwuE5V168jf8tmyGtqwLOzwxNzX4PXX4P3DKVgGNTUN54uljY8Pm3cIGcgqWu8dU8k5MFOQGcBAODVV19l72D4+9//jm3btuHy5cs4cKDx1kE3NzdMnjzZnFXUi1UFdKFQaPIv+fZcNl8ggIBv+hsh5DDPa9anvPDwcPD5fOTl5amkVQwabNDAuDsLFwDgZnBcH/d8gwbGJRyUAbDcGeJaysvLg0KhUBq1rIuQkBBER0cjKSlJ7zxa+vPgPyH/6ywQ09CAwi+/QOGXXyjto+56uzbKJAr83z/KVLZfzJfiYn7jj82pz7hgUIhIj5rbnhUrVuDYsWPIzs7GDz/8gB9+eDw4kc/n46uvvoKXFd51QLetEWIADw8PREREICsrS2WAzfD58zkpIzt+JqR1dQblMXfCAE7qsiBZjLp6049v0FVGRgYAIDo6Wq/j3d3dcfjwYc6CObEszs7OOH36NJYvX46QkBDY29vDw8MDo0ePxqlTpzBlyhRzV1EvVtVDJ8QSjR8/HgkJCcjMzFQ79SsXrs57vdXR76a2ZG/jwCFL7q2npqZCIBBg7NixJiuzrTMpIUv1v+2trbb2dhVY9PthiVxdXbF69WqsXr3a3FXhDPXQCTHQ3LlzIRAIsGfPHpU0Lu8lV7fsatNANG0Y+wtfl7oYU01NDQ4dOoRx48bB39/f3NUhxGQooBNioM6dOyMuLg579+5FdXW1Srrbe+9xUg4XPw7mDqnioCaW3Tvfv38/JBIJFi1aZO6qEGJSFNAJ4cCaNWsgkUiwbds2lbTgiEh4GbgcI1c9/T49u2FQd3uD8rDkYN7Q0IC1a9ciNjYWw4YNM3d1CDEpCuiEcKBbt27YtWsXnJ2d1aYHzH0NAes+0itvTk/bA5g61A1Lx+o3fMaSgznQOHPf9OnT8fHH2q1gR4gtoUFxhHCkrftWvTp1gteu3cieFa/2enhLT4yLhfekSVxVT0lHXw9smQ0sTBarWRJG1fPdXRA71PJveQoMDLSYiW0IMTUK6ISYWPOR6jnz34S82XV3h06d0EvPnrw+ms/TvnSvGDX1j9M6uAuwfIL5J7YhhGiHAjohZhTx+Rdt72QiSVONfzrd/yXTrOlOSHtE19AJIYQQG0ABnRBCCLEBFNAJIYQQG0ABnRBCCLEBFNAJIYQQG0ABnRBCCLEBFNAJIYQQG0D3oRNiRpffeAOK2hr2ub2fH8LXbzBLXd7/rgS10sfzxvm68bFiohenZRy9KOE0v+ZinnQxWt6EWAMK6ISYmKapX6UPHyI7fiYAwO255xAcP8uoddE09WtxpQILksUAgMG9nPHKIEej1oUQYhg65U6IiZTcv98YrLWYxx0AKk+eZIM71x48KsMCLedxB4AL16rZ4E4IsUwU0AnhgEKhQGRkJMaMGaM2vWD7Vyha+r5eeXMd1PecqcS6n+V6HWvpQf3WrVuws7PD559/bu6qEGJydMqdEA6kpKQgJycHO3bsUEm7dekSqs6d03h88yVS1QXw7PiZnCyjmpN7B5m33TTu03yJVHUBfEGy2GKXUe3evTumTZuGhIQETJ8+HW5uml+rKckqK/Hw3/9CzZ07qCksBCOTAQC8nnkGAa+9blDeV/+Q4nJhPYqKG1BZq0B9AwMPJz6e8LHDyAgn+HvRV31LEokE69atw4EDB1BYWAgnJycMHjwYS5cuxdChQ81dPb1QD50QA8nlcqxatQrR0dEYOHCgSnrVJ5rX5nZb9K5W5agL9MOHD0dgYKBWxwPAzguaA9ycwdoNWlMX6HWti7EsXrwYxcXF2Lp1q7mrokRWVobi48dRfesWG8y5cia3Fhl59XhQLkd1PYMGOSCuUuBivhQb/lWOa3elnJZn7aqrqzFs2DCsWbMGN2/eRH19PcrKynD06FEMHz4c+/fvN3cV9UIBnRADHTlyBEVFRZgxY4ZKmjanyyvbCPhNfF8cr2vVlGhzunznBe1Gio/o62BQXYypd+/eiIyMxI4dO6BQKPTOp6ioSKf9s+Nnany/BU5O8B01CgFvvAG/cbE65b0gWazx/RPwgUEhDlg4xh0bZnhj+QRPBPs19soVDHD4v9WtHtseJSYmIjs7GwAQFxeHR48e4cSJE3BycoJCocC8efNQWlpq5lrqjgI6IQZKSUkBj8fDxIkT9c6jMRjEtxoQonbtRpcJpll6dEGyGAu/aT2AbJntg3FRriapi77i4uJQVFSEtLQ0vY7PyMhAWFgY1q1bx1mdHHx90WXadHgNeQr2XtzeDjhzmCumPuOKbn5C2Nvx0MFdgBcHOLPpDyv0GzNhixiGwTfffMM+X79+PXx9ffH8888jLi4OAFBZWYnvv//eXFXUGwV0QgzAMAzS09PRs2dPeHh4KKWl6zwwS3XMOd/RkZNr51//M1O3mvBUt4mEPIu9dt7SkCFDAAAnT57U6/jw8HD069cPS5cuRVJSEpdVMwqRvepXuaxZDPd0pq/6Jvn5+SguLgYAuLq6IiAggE3r06cP+/jChQsmr5uhaKQEIQbIzc1FaWkpYmJiVNLcMwz7QuAikDe5UtHNoOOtJZA36d+/PwDg/Pnzeh3v4uKCo0ePYsyYMVi2bBkYhsGyZcu4rKJRNcgZ/Dvr8Wn2oWE0h0CThw8fso9b/gh3d3dXu5+1oIBOiAHu3r0LAPDz8+MuUx4PUSm71GxW023WkJafn2/wIDUegM1qgrk56qILV1dXiEQi9v1pLjAwEIWFhTrlt3z5ckRFRbE/3Kpyc3Frnfqee8vLJr02boKDr6/WZeU9kOKzXyrVprW8DPLhJE94uwqUttVJFdh5sgoFxQ0AgAHBDhgWJtK6/PaEaTEnRPPnmj7jlsqqArpMJoOM49Gh2pTZ/F9LL1sqlWLDz3Uoq1Y/ZciS/5HB11dzb6upPIXc9Nfdmso0Z3vroqSkBADg6enJSR2Cl6+AW48eatNWrlypsi0lJQXl5eVYuHChSlrL3oeu3hntjOBO6nt2pq6LPry8vCAWq44DmDRpktrt6uTk5CA7Oxve3t4ICgriuoqcq6iR48vjlbhf1vj/6OlQESYNcbbK4GQszX98l5eXK6VVVFSo3c9aWFVAP378OJycnMxSdmpqqlnK1bbss2UDIGPs29zvo2NCAI0f2mc9f231P3qQE8D8eRfmGkpjjvauqalpe6cWHB0bA15tbS0ndbi9ZjUA9afbExISVLalp6ejoKBAbZqhtv5SDaBa7el2U9dFH7W1tWq/LzZu3KjV8efOnUNMTAx8fHyQlpaG0NBQNs01LEzlPWrqmRt6qSSkk71Kmzf1zDVd+nhQ1oAvUytRXq0AD8AL/ZwwMsI835eWLCgoCB06dMCjR48gkUhQWFjIXke/cuUKu9+gQYPMVUW9WVVAHzVqlMknipDJZEhNTcXIkSMhFAotruxPj0lQWKxf2D1V9gwAYON0d6Xtlv6ajaWpt60L379OpXJ9i0t2/EwEbd4Cd456/oZYkCxGwktCeHq4t72zhVAoFKioqEB4eLhex2dlZWH06NEQiURIS0tDRESEwXViFArIqxuva8vr6x/XVdaAhqoqAABfJAJfj8/9rT9l+DqtErVSBgI+MG2oK/oFWe6theb26quvsncw/P3vf8e2bdtw+fJlHDhwAADg5uaGyZMnm7OKerGqgC4UCk3+JW/JZXM1Def/7qlA4mQ3uDkp9/At8TUbu0xdhYeHg8/nIy8vTyWtYtBggwbG3Vm4AAA3g+P6uOcbNDAu4aAMgOXOENdSXl4eFAqF0qhlXYSEhCA6OhpJSUl659GStKQE1/73PZXt5RkXUP7X5+SJua/BW49Zyo5mV7Mr5ckVwO7TVdh9ukppH3XX29urFStW4NixY8jOzsYPP/yAH374gU3j8/n46quv4MXxrYWmQPcyWCmu59T+4PtKpGYUcJpne+Dh4YGIiAhkZWWpDLAZPn8+J2Vkx8+EtK7OoDzmThjASV0WJItRV2/68Q26ysjIAABER0frdby7uzsOHz7MWTAnlsXZ2RmnT5/G8uXLERISAnt7e3h4eGD06NE4deoUpkyZYu4q6sWqeuikkS7BvHmPimEYLExp/bTy4WsuiAypgaereXrl1mr8+PFISEhAZmam2qlfuXB13uutjn43tSV7G8dgWHJvPTU1FQKBAGPHjjVZmW2dSXHw9dX7bEtbbf12jIde+bZnrq6uWL16NVavXm3uqnCGeuhWRpdg3jdA+RQ6j8eDkK95wcw1P+k+MKy9mzt3LgQCAfbs2aOSxuW95OqWXW0aiKYNYwdgXepiTDU1NTh06BDGjRsHf39/c1eHEJOhgG5Fvj52X6f9IzsUq2x7+wWPNo9bfVD9PbBEvc6dOyMuLg579+5FdbXqnNlu76leN9UHFz8O5g6pansnLVhy73z//v2QSCRYtGiRuatCiElRQLciV+63fVtac7syVUclf/LvCjV7KlvxkuUsOWkt1qxZA4lEgm3btqmkBUdEwsvA5Ri56un36dkNg7rr9jlqyZKDeUNDA9auXYvY2FgMGzbM3NUhxKQooFuJf/ym3bKWLW36dxn7eP1PZWpmC1dmyV/Wlqxbt27YtWsXnJ2d1aYHzH0NAes+0itvTk/bA5g61A1Lx+o3fMbSPx93797F9OnT8fHH2q1gR4gtoUFxVuLsdf1GOReJ5Vpddw/wscO74zz0KoM0auu+Va9OneC1azeyZ8WrvR7e0hPjYuE9aRJX1VPS0dcDW2YDC5PFbf7IA4Dnu7sgdqjlTx8aGBhoMRPbEGJqFNCJxfe6bE3zkeo5899kJxsBAIdOndBLz568PprP0750rxg1j+c7QQd3AZZPMP/ENoQQ7VBAtwKnL94HoP5UriGEfGBjPAVzc4r4/AtzV4GVNNX4n4WYJ12MXgYh7RUFdCuQnu8CdWtlG2LTTE/YCWjWKEIIsRUU0K1AVS13wby15TAJIYRYNwro7chTPUSY/DSd8iSEEFtEt621I+dv1nE+BzwhhBDLQAHdCrg5ql+zXF8LksVI+/USp3kSQggxLwroViA6SL9JZTT5V14XLKTeOiGE2AwK6FYgOso4C0wwaOytX7hGgZ0QQqwdDYoj2JcB7MsQ0wQzZnD5jTegqH28wp29nx/C12/gtIz7B//JaX7N+b80wWh5G+r970pQK318h4ivGx8rJnpxWsbRi9yfPWtC9+wTXVFAtxLDwkQ4k6vf9K/aWpAsxvQoMfqGBxu1nPZO09Sv0ocPkR0/EwDg9txzCI6fZcKaWT9NU9kWVyrYQaGDeznjlUGOpqsYISZAp9ytxMTBpvm1vifbBx/9i5ZP1ZVCoUBkZCTGjBnT6j4l9+83Bmst5nEHgMqTJ9ngbulu3boFOzs7fP7555znrU3bPnhUhgVazksPABeuVVvNHR/GbFtiWyigW5EIf6lJyhFXcjsrXXuQkpKCnJycVhcGKdj+FYqWvq9X3tYQ1Lt3745p06YhISEBlZXc/iBsq233nKnEup/leuVtDUHdmG1LbAsFdCsy53+MMziupQ3TVddRJ62Ty+VYtWoVoqOjMXDgQJX0W5cuoezcOY15RO3azf6pYw1BffHixSguLsbWrVs5y7Otts3JvYPM25p/6G6Z7cP+qWMNQd0YbcsVWWUl7u75FlffexeX5ryKK2/9DfmffYraoiKD866qVeDHCxKsOlCKd3eJsXxfCZJPVeJeaYPeeaanp4PH47X6Z82r9VFAtzLGHri2YryTUfO3RUeOHEFRURFmzJihNr3qE81rc7stelerctQF9eHDhyMwMFCr442td+/eiIyMxI4dO6BQKDTuq22922rbnRfcNB4/Z7B2g9bUBXVrbVtTkpWX4+aqBBSnpkIqFoNpaEBDVRXKMzNxI/H/UHX9ut55V9Qo8PHhcpzJrUOpRAG5ApDUMbhUIMUnh8tx608Zh6/ENlBAt0LGCupje1XD15MCuq5SUlLA4/EwceJElTRtetaVbQT8Jr4vjte1aiYXFxeHoqIipKWlcZKfprbVpme984J2Y09G9HXQuW6mZmjbFunRY86On6nxM3x373eQihvfB99R/4M+2z5HwBtvAjweGKkURTu2g5GrvxyyIFms8T08+B8JSiWNP16ie4mwdqoXZka7gscDZHLgu7NVkCsMuzx46tQpMAyj9Ec9dGJyXAf1NZPdMHJQAKd5tgcMwyA9PR09e/aEh4eH3vk0fnHGt/rlGbVrN7pMsNxbxJoMGTIEAHDy5EmD8+KqbRcki7Hwm9aDx5bZPhgX5ap3/qZiSNtmZGQgLCwM69at46w+DdXVKM/KAgDwhEL4v/wy7Fxc4DVkCFxCewIApGIxKn//Xee8a+oVuFzQeClFKADG9XOGswMf/YIcEOwnBACUShS4cZ966c1RQLdiW2b7oHtHw+883DLbBy5O9hzUqP3Jzc1FaWkpnnzySZW0dJ1HJav2NviOjq1eV7dE/fv3BwCcP3/e4Lw0te3X/8zUKS9GzezJIiHPquZeMKRtw8PD0a9fPyxduhRJSUmc1Ke2sBD4q/ft4NcRfPvH3yGOXbuwj2tu39Y577slDWjqfPu4CSC0e/wG+ns+Xva5oNiwgB4XFwd7e3u4u7tj2LBh2Ldvn0H5mRvdh27l3o7xAAB8sL8ElTous7p5ljd4PG7niW9v7t69CwDw8/NTSXPPuGBQ3tYUyJu4urpCJBKx7WIITW17paKbQXlbUyBvYkjburi44OjRoxgzZgyWLVsGhmGwbNkyg+ojq6hgHwuclC/V8R0f3+Mvq6yArqrqHn+XOdkrf0eJmj03dGnp4uJiAIBMJsPZs2dx9uxZXLlyBWvXrjUoX3OxqoAuk8kgk5n2FEtTeaYuV9eyP5zYODhIKpVi05F6lEjUD5xZGiOHt3fjbFkNDepHilrLazZW2booKSkBAHh6enJXER4PUSm71Gxu/ceXurT8/HyzDOry8vKCWPz49La+9TZG2/IAbFYTzK21bQEgMDAQhYWFOuWzfPlyREVFISYmht1WlZuLW+vU995bXgrqtXFTiz2YVp/ywEPeAyk++0X9LXctL4V8OEn5/VYJ2Up5687Pzw8bN27E6NGj0a1bN1RWVmLTpk3YuHEjAGD9+vV488030bVrVz1yNy+rCujHjx+Hk5N5Bm2lpqaapVx9yo60B9DKDJcZGcYrl0vmKLumpqbtnVpw/KsnUltby0kdgpevgFuPHmrTVq5cqbItJSUF5eXlWLhwoUqaIdedDVFbW6v0/1TfenPdtu+MdkZwJ/Wzw1lr2wLApEmTVIJ8a3JycpCdnQ1vb28EBQUZVBeh++PbW+Ut/u/Im01nbOeu+U4EdVxFj0N1bb1ySK+VPX7uqsdKlGFhYQgLC2OfOzk5YcOGDTh06BBu3boFuVyOjIwMCujGNmrUKLi56f7hMIRMJkNqaipGjhwJoVDYLspuj68ZeNzb1oWvry8AoLS0lJM63F6zGoD60+3qRt+mp6ejoKDAYkbmKhQKVFRUIDw8nN2mb725btutv1QDqFZ7ut1a2xYA27Nsy7lz5xATEwMfHx+kpaUhNDRUKd01LEzlc9fUM1f3ebRzdgZPIAAjl6P+4UMopFL2Onpds8sCTkHB6NTJXqXdm3rm6t4PJwceBHxArgDEVXLIGhj2OvqDssdnFgN8df+OkMvlEAgEKtubn4nh861zeJlVBXShUGjyL/n2XHZ7e836lBceHg4+n4+8vDxO65IdPxNBm7fAnctT+SaQl5cHhUKBPn36GJyXsdp2QbIYCS8J4elhXRMoGdK2WVlZGD16NEQiEdLS0hAREWFwfQROTnDvPwDlGRfAyGS4f+AAOo4fj6orVyC5cQMAYO/jA7fevXXO29Gej8gAe1zMl0ImB/7932qM7uuE6/dkuP2wMaB7ufAR6q/7/9m4uDiEh4dj0qRJCA0NRVlZGTZt2sR+zoRCIXtHgbWxqoBOiKXx8PBAREQEsrKywDCM0q/8ikGDDRoYd2fhAgDWNTgu469rOtHR0Qbnpalt+7jnGzQwLuGgDIB1rTBoSNuGhIQgOjoaSUlJnPzYatJl6lTU3L4FqViM4uPHUHz8GJvGs7fHE6+9Dp6a3rA2xg90QUFxOUolCpy+VofT1x4vTiUUANOGukLA1/2Ue0lJCRITE5GYmKg2fd26dejUqZNedTY36zyvQIgFGT9+PCoqKpCZqXwr1fD58znJPzt+JqR1xl1pjyupqakQCAQYO3YsJ/m11rZzJwzgJP8FyWLU1VvHvcyGtK27uzsOHz7MaTAHAKGHB3qsTIDPiBGw9/EBTyCAnasrPPoPQOgHH8K1Z0+983Z34uPdsR4YGiaClwsfAj7g7MBDZIA9Fo31QPeO+p3BW7FiBebOnYvw8HB4enrCzs4Ofn5+ePHFF3HixAm8+652MzdaIuqhE2KguXPnIjExEXv27FE73zgXrs57vdXR75aipqYGhw4dwrhx4+Dvz826A6Zo2yV7G2+rsuTeujHaVhvanB0Surmh64yZwAzd1hvQpr1dHfmYNNgFkwbrlLVGI0aMwIgRI7jL0IJQD50QA3Xu3BlxcXHYu3cvqqurldI4PV2uZtnVpoFblmD//v2QSCRYtGhRm/tqW29NbWvsAGytbUvaLwrohHBgzZo1kEgk2LZtm0qa23vvcVKGJV9Lb2howNq1axEbG4thw4Zxmremtp07pIqTMiy5d27MtiW2hQI6IRzo1q0bdu3aBWdnZ5W04IhIeA0dalD+lhzMgcZZ3aZPn46PP9ZuoRldaGrbPj27YVB3w6YttuRgDhi3bYltoWvohHBk8uTJraYFzH0Nri+MReH7S3TO19KDOdA4W5kx79fW1LZTh7rhuZ7lSDqs+xrZlh7MAeO3LbEd1EMnxES8OnVqDM5azp//xLhYqwjmlqCjrwe2zPbReirQ57u7WEUwJ0QX1EMnxMSaj1TPmf8m5M0Gezl06oRe6z4yR7VsQvN52pfuFaOm/nFaB3cBlk+wrol6CNEFBXRCzCji8y+MXob/S5a/jroxJE01fg885kkXo5dBiLbolDshhBBiAyigE0IIITaAAjohhBBiAyigE0IIITaAAjohhBBiAyigE0IIITaAAjohhBBiA+g+dELM6PIbb0BRW8M+t/fzQ/j6DZyWcfSihNP8mrPk+7Df/64EtdLHK9T5uvGxYqIXp2XcP/hPTvNrrr3OH0D0RwGdEBPLnhWvdilUAJA+fIjs+MZ1pd2eew7B8bNMWDPrtzBZDPUtCxRXKrAgWQwAGNzLGa8McjRdxQgxATrlTggHFAoFIiMjMWbMmFb3Kbl/vzFYtxLMW6o8eZIN7pbu1q1bsLOzw+eff8553tq07YNHZVigIZi3dOFaNRvcLZ0x25bYFgrohHAgJSUFOTk5ra6KVbD9KxQtfV+vvK0hqHfv3h3Tpk1DQkICKisrOc27rbbdc6YS636W65W3NQR1Y7YtsS0U0AkxkFwux6pVqxAdHY2BAweqpN+6dAll585pzCNq1272Tx1rCOqLFy9GcXExtm7dylmebbVtTu4dZN6Wasxjy2wf9k8dawjqxmhbrsgqK3F3z7e4+t67uDTnVVx562/I/+xT1BYVGZx3Va0CP16QYNWBUry7S4zl+0qQfKoS90p1Xyq3SXp6Ong8Xqt/1rxULQV0Qgx05MgRFBUVYcaMGWrTqz75WOPxbove1aocdUF9+PDhCAwM1Op4Y+vduzciIyOxY8cOKBQKjftqW++22nbnBTeNx88ZrN2AQHVB3Vrb1pRk5eW4uSoBxampkIrFYBoa0FBVhfLMTNxI/D9UXb+ud94VNQp8fLgcZ3LrUCpRQK4AJHUMLhVI8cnhctz6U8bhK7ENFNAJMVBKSgp4PB4mTpyokqZNz7qyjYDfxPfF8bpWzeTi4uJQVFSEtLQ0TvLT1Lba9Kx3XtBuFP6Ivg46183UDG3bIj16zNnxMzV+hu/u/Q5SceP74Dvqf9Bn2+cIeONNgMcDI5WiaMd2MHL1l0MWJIs1vocH/yNBqaTxx0t0LxHWTvXCzGhX8HiATA58d7YKcoW2oybUO3XqFBiGUfqjHjoh7RTDMEhPT0fPnj3h4eGhdz6NX5zxrX55Ru3ajS4TLP82piFDhgAATp48aXBeXLXtgmQxFn7TevDYMtsH46Jc9c7fVAxp24yMDISFhWHdunWc1aehuhrlWVkAAJ5QCP+XX4adiwu8hgyBS2hPAIBULEbl77/rnHdNvQKXCxovpQgFwLh+znB24KNfkAOC/YQAgFKJAjfuUy+9OQrohBggNzcXpaWlePLJJ1XS0nUelaza2+A7OrZ6Xd0S9e/fHwBw/vx5g/PS1LZf/zNTp7wYnuo2kZDX6nV1S2RI24aHh6Nfv35YunQpkpKSOKlPbWEh8Ffv28GvI/j29myaY9cu7OOa27d1zvtuSQOaOt8+bgII7R6/gf6eAvZxQbFhAT0uLg729vZwd3fHsGHDsG/fPoPyMze6D50QA9y9excA4Ofnp5LmnnHBoLytKZA3cXV1hUgkYtvFEJra9kpFN4PytqZA3sSQtnVxccHRo0cxZswYLFu2DAzDYNmyZQbVR1ZRwT4WODkppfEdH9/jL6usgK6q6h7/uHWyV/41Jmr2vKrWsFPuxcXFAACZTIazZ8/i7NmzuHLlCtauXWtQvuZiVQFdJpNBJjPtKZam8kxdrjnLbo+vWd8yS0pKAACenp7cVYTHQ1TKLjWb1XQzNaTl5+ebZVCXl5cXxOLHp7f1rbcx2pYHYLOaYG6tbQsAgYGBKCws1Cmf5cuXIyoqCjExMey2qtxc3Fqnvvfe8lJQr42bWuzBtPqUBx7yHkjx2S/qb7lreSnkw0nK77dKyFbKW3d+fn7YuHEjRo8ejW7duqGyshKbNm3Cxo0bAQDr16/Hm2++ia5du+qRu3lZVUA/fvw4nFr8EmxNQ0MDnjiRCruaGrXpvz8/Am7u7lqXnZqaqvW+XDNX2eYq1+3aVWRcu2rycvUJ6I5/9URqa2s5qUPw8hVw69FDbdrKlStVtqWkpKC8vBwLFy5USTPkurMhamtrlf6f6ltvrtv2ndHOCO6kfnY4a21bAJg0aZJKkG9NTk4OsrOz4e3tjaCgIIPqImz2/Slv8T0rbzadsZ275jsR1HEVPQ7VtfXKIb1W9vi5q6PuIT0sLAxhYWHscycnJ2zYsAGHDh3CrVu3IJfLkZGRQQHd2EaNGgU3N80fjtxFiyCvanvyhd5pJ9jH4Tu+bvUXukwmQ2pqKkaOHAmhUKhbhQ1krrLN/Zozrl1FUHAwBHzTDvGo0SNw+Pr6AgBKS0s5qcPtNasBqD/drm70bXp6OgoKCixmZK5CoUBFRQXCw8PZbfrWm+u23fpLNYBqtafbrbVtAbA9y7acO3cOMTEx8PHxQVpaGkJDQ5XSXcPCVD53TT1zdZ9HO2dn8AQCMHI56h8+hEIqZa+j1zW7LOAUFIxOnexV2r2pZ67u/XBy4EHAB+QKQFwlh6yBYa+jPyh7fA96gK/u309yuRwCgUBle/MYwDfxdw9XrCqgC4XCVgPMzcREVN/K0yvfq6/NBaD5mqWmso3NXGWb8zUL+Hzw1fynM3aZugoPDwefz0denn6fvdZkx89E0OYtcOfyVL4J5OXlQaFQoE+fPgbnZay2XZAsRsJLQnh6aH+GzhIY0rZZWVkYPXo0RCIR0tLSEBERYXB9BE5OcO8/AOUZF8DIZLh/4AA6jh+PqitXILlxAwBg7+MDt969dc7b0Z6PyAB7XMyXQiYH/v3faozu64Tr92S4/bAxoHu58BHqr/v3U1xcHMLDwzFp0iSEhoairKwMmzZtYj9nQqGQvaPA2lhVQG8NV7NoZcfPRNinn0HUxlkAQpp4eHggIiICWVlZYBhG6Vd+xaDBBg2Mu7NwAQDrGhyXkZEBAIiOjjY4L01t28c936CBcQkHZQDEVjU4zpC2DQkJQXR0NJKSkjj5sdWky9SpqLl9C1KxGMXHj6H4+DE2jWdvjydeex08PX+Yjx/ogoLicpRKFDh9rQ6nr9WxaUIBMG2oKwR83U+5l5SUIDExEYmJiWrT161bh06dOulVZ3OzzvMKzXA9JWbu22/h+pEjnOZJbNv48eNRUVGBzEzlW6mGz5/PSf7Z8TMhratre0cLkJqaCoFAgLFjx3KSX2ttO3fCAE7yX5AsRl29ddzLbEjburu74/Dhw5wGcwAQenigx8oE+IwYAXsfH/AEAti5usKj/wCEfvAhXHv21Dtvdyc+3h3rgaFhIni58CHgA84OPEQG2GPRWA9076jf2cMVK1Zg7ty5CA8Ph6enJ+zs7ODn54cXX3wRJ06cwLvvajdzoyWy6h66LsG8eS+HYRhcmhXf6r613+9HVb9+cFVzuwwhLc2dOxeJiYnYs2eP2vnGuXB13uutjn63FDU1NTh06BDGjRsHf39/TvI0Rdsu2dt4W5Ul99aN0bba0ObskNDNDV1nzARm6Na50qa9XR35mDTYBZMG65S1RiNGjMCIESO4y9CCWG0PXZdg7jGgv9JzHo8H2Gn+LXPr74v1qhdpfzp37oy4uDjs3bsX1dXVSmmcni5Xs+xq08AtS7B//35IJBIsWrSozX21rbemtjV2ALbWtiXtl1UG9Kuf6rbikHTwUyrbeixf0eZxvy9aqFM5pP1as2YNJBIJtm3bppLm9t57nJRhydfSGxoasHbtWsTGxmLYsGGc5q2pbecOqeKkDEvunRuzbYltscqALv1r/mBt1aj5AXDz/1a1eVzvTzbrVA5pv7p164Zdu3bB2dlZJS04IhJeQ4calL8lB3OgcVa36dOn4+OPtVtoRhea2rZPz24Y1N1ezVHas+RgDhi3bYltsbpr6H98q98X241VCQhdmQAAuL5ihdrTl81Z+hcosTyTJ09uNS1g7mtwfWEsCt9fonO+1vBZDAwMNOr92pradupQNzzXsxxJh3VfI9vSgzlg/LYltsPqeujiEyfa3kmNmjt32KUAa/9ofRlBx27drOILlFgfr06dGj9bGqYZbe6JcbH0WdRSR18PbJnto/VUoM93d7GKYE6ILqyuh25M9OVJTKH5SPWc+W9C3mywl0OnTui17iNzVMsmNJ+nfeleMWrqH6d1cBdg+QTrmqiHEF1YVUAvPHXKOBnb2SFq5zfGyZsQDSI+/8LoZcQ86WL0MixR0lTj98D9X7L8NepJ+2FVAZ0xwmIhETu/gaCNW9gIIYQQS2dVkUybRVe0ZuGTdBBCCCG6sKqAzhWf4c+i6+zZ5q4GIYQQwhmrG+XOBXH6Kc7ngCeEEELMyaoCOp/jVdCy42ci6/hxTvMkhBBCzMG6AvrIUZznKfhuD7I1LNRCCCGEWAOrCugBw4cbJ2OGQXb8TBT9+qtx8ieEEEKMzKoCurGV7NhO19YJIYRYJasL6L5GOO3eUnb8TFz9T4bRyyGEEEK4YnUBvcv06SYpR7ptG64t0X0hDUIIIcQcrC6gA4D9gIEmKaf+4Z8mKYcQQggxlFUG9PC33jJJOTSTHCGEEGthlQEdMP7KaN3XbzBq/oQQQgiXrDagA8YL6o6Tp8DVz88oeRNCCCHGYNUBHeA+qPfatg09x4zhNE9CCCHE2Kw+oAONQd2lZ09O8nFwceWgRoQQQohp2cxqayFLlwEArrzzFhoqdFtmtW/KLvB4PGNUixBCCDEJqwjoDMMAACor2w7UAavXAgCkUikeJK1Fg1isdj/PhFXw8vYGAFRVVbWan0wmQ01NDSorKyEUCnWtukHMVba5X7NMJkN9fT34AoFJy66XSgE8/rwRQog14TFW8O119+5ddO3a1dzVIO3EH3/8gS5dupi7GoQQohOrCOgKhQL379+Hq6srnRonRsMwDKqqquDv7w8+3yaGlxBC2hGrCOiEEEII0Yy6IYQQQogNoIBOCCGE2AAK6IQQQogNoIBOCCGE2AAK6IQQQogNoIBOCCGE2AAK6IQQQogNoIBOCCGE2AAK6IQQQogNoIBOCCGE2AAK6IQQQogNoIBOCCGE2AAK6IQQQogNoIBOCCGE2AAK6IQQQogNoIBOCCGE2AAK6IQQQogNoIBOCCGE2AAK6IQQQogN+H/oO0MMBjHMvwAAAABJRU5ErkJggg==" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 1 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 4 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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Vlcybb76ptL2VYnnTpk1jSktLmd9//50N7iKRiJHL5ez+ipdLtjVhwgS2PteuXWOkUinz559/MocOHWKSkpJM1IrEFO7fv6/02fjvf/+rdf8FCxaw+44ZM4a5desWc/v2beaZZ55hty9YsIDd39CADoB5++23mYqKCubAgQNKPxgUacqfYYz7Gxk5ciRz7do1pra2lrl06ZJ+japYP4OPJIRYJV0Dem1tLdtbCgsLYxiGYXJyctj9Xn75ZTbPLl26aM0TADN+/Hh2/9ZtfD6fqaioYLcPHDiQTbt79y67XVtAX7RoEQOA4fF4zPTp05lNmzYxBw8eZO7du8d10xETu3fvntJn5ty5c1r3V/zcXbhwgd2em5vLbu/atSu73dCA7uvry951kmEYxtvbmwHAODk5KeWjLaAb+jcCgCkpKWmv6XRikqVfuSaXy3Hnzh24ubnR3amIyTAMg5qaGvj7+3N+Db+lJCQkaFwr3sXFBTNmzMBnn32GvLw8XLhwAV9//TWbPn/+fPax4pr2mpSVlals69Spk9Ia+IqXITU0NOjyEpCYmIiCggIcPnwYe/bsYVeV5PP5mDp1Kr7++muVZYiJdfLx8YG7uzt77vvSpUuIiIjQuL/i507xRlKK563VfTaZNldKNDU1aa1XSEgIe9dJoOVzWl5ertdNwgz9G/H19UW3bt10Lkcbmwjod+7c4ewFPwoS3s+Bh2+A2rSP5/qBYeRmrpFt+fPPP9G1a1dLV8MsXnnlFXz22WcAgJSUFHz77bcAgMcffxwDBw5k9/Pz88Pt27fB4/Fw+/ZtdO7cWSWvtl+igG43/9G2HWi55vfgwYOorKzExYsXUVhYiD179uDo0aP49ttvERsbi2nTprX/YonF8fl8TJgwAd988w2AlsmOL774otofZE1NTeznDmiZiNZ6rwfFS8b8/PzYx05OTmhsbFSaKS6Xy3Hz5k2t9dL1c6qNoX8jmm7uZAibCOhubm4AgMLCQvaxuchkMpw8eRIjR440aPU5c5W96QiDWqnWXQAAb+x8+Cvy3QnqP7i28pq5VlFRgZ49e5r9M2ZJAwYMwKBBg5CTk4Nt27axPZlXXnlFab/nn38en3zyCRiGQUJCArZs2YIePXqgvLwc//nPf/Dll19i+vTpiI+PN6ge3t7e7Jf0+fPnla4/3rFjB4CW+8sPGDAAAwcORFFREY4ePQoAKCkpMahMYhmJiYn48ccfIZFIkJeXh4kTJ2LVqlXo27cvJBIJ/vOf/2Dz5s348MMPERsby/7gXLp0KXbu3Akej4elS5ey+cXGxrKPAwMDcfXqVZSVleHs2bOIjIzERx99pNMtu3Xh7e2N8vJylJWV4fbt20r3DzH134gubCKgtwYdLy8vuLu7m7VsmUwGFxcXeHt7WyS4tVf2R79Uoui+9uEkTVb9DAAMtszx0btcU7Fk2a3s6bROWloa0tLSVLYXFhayw5avvPIKcnJy2GDu6uqK6dOnK+2fnJyMkydP4tKlS0hPT0ffvn1V8jSml/zEE0+wd55rHYKNiopCZmYmsrKyNC4N7eDgoHLZHbFuISEh+OmnnxAXF4eysjIcPHgQBw8eVLtvcnIyjh8/joKCAhw5ckQpgLbmpbiIUnx8PFasWAGg5TMlFoshkUjg4uLCyd0nn3jiCfz888+ora1lR/FaT2uZ+m9EF/ZxovARtTClzOBg3jaf6joduvfELr344otKoxLTpk1TGaXw8vJCVlYWVq1ahYiICIjFYva+DaNHj8amTZuMui9BUlISZsyYAT8/P5UfVJMmTUJcXByCg4Ph5uYGgUAAHx8fxMTE4Pjx41a3mhhp38iRI5Gfn49Vq1YhMjISnp6eEAqF6NKlC0aOHIktW7YgJCQEvr6+yM7OxvLly9G3b1+IRCI4OTmhT58+WLZsGbKzs+Hj87BDsmTJEixfvhwBAQFwdHRE7969ceDAAQwePJiTen/88ceYMGECvL29VdJM/TeiC5tY+rW6uhoeHh6oqqqySA/90KFDGDdunEV6q5rKXpiiOrnCWOP7SjA6MtBqX7OplZeXw8fHxyKfM0IIMZZNDLkTZfoEc8XhdIZhsCi1XOO+By+7IjykDh3cLDPUTQghxHA05G5j9AnmAwIclZ7zeDwI+doHZNb8aPx5JkIIIeZHAd2GfHn0jl77h3dUvZPRG896tnvc6v3V7e5DCCHEulBAtyEX7zi2v5OCtGwPlW0f/VzV7nErn6fzx4QQYmsooNuIf/0uMei4TT8/YB9v+PEB2psB2fYSNkIIIbaBJsXZiN+u6LZMZlslZc06nXcP8HHAWxM8DSqDEEKI5VFAJ9QrJ4QQO0BD7jbg1Dn9JsPpSsinYE4IIfaCeug2ILPQFWj37Ld+NsV3gAPdoYoQQuwGBXQbUFPPXTDnAdhMvXJCCLE7FNAfIU/0FGHqk66WrgYhhBAToHPoj5Az1xpMsgY8IYQQy6OAbgPcnbm9nefClDJk/Oc8p3kSQgixLAroNiAqyLBFZbT5qaArFlFvnRBC7AadQ7cBURH++PlS+0u26otBS2/9xUhgaF+aKGcJF159FfL6hzfEcfTzQ+iGjRapyzvflKNe+nACpq87Hysne3Faxp39/+Y0P0X+z08yWd6E2AIK6ATfZgHfZpXRNelmkjs7AWDUX7kgvXcPuQnxAAD3UaMQnDDbpHVZlFKm8YLI0mo5O+diaF8xXox0NmldCCHGoSF3GzGij8jkZSxMKUP2+SsmL+dRVX7nTkuw1hDM26o+cYIN7ly7e/8BFmoJ5m2dvVxLEyoJsXIU0G3E5KHmudxsd64P3v+Jbp+qL7lcjvDwcIwbN05tetH2L1Cy7B2D8uY6qO/+tRrrf2k26FhrD+rXr1+Hg4MDPv30U0tXhRCzoyF3GxLmL0WenrdQNURZNQNwe+rU7qWmpiIvLw87duxQSbt+/jxqTp/WenxE2i72sboAnpsQr7SPofLybyL7hvbb4yqeelEXwBemWO/pmR49emDGjBlISkrCzJkz4e5uPbcCrjp/HpU52agrLISsshLyxkYIO3SAS/cgdJowAc7duhmct6RBjmMX6lBc2oTbFU2Q/f17bUgPJ8wY7sbRK7AvEokE69evx759+1BcXAwXFxcMHToUy5Ytw/Dhwy1dPYNQD92GzP1//mYpZ+NM1fuoE82am5uRnJyMqKgoDBkyRCW95qMPtR7vvvgtncpRF+ijo6MRGBio0/EAsPOs9gA3d6huV1SoC/T61sVUlixZgtLSUmzdutXSVVFSejwdFb/9hoZbt9AskYCRySC9fx+VWWdxJfE9VF24YHDelbVynLrcgKLSh8GcaFZbW4sRI0ZgzZo1uHbtGhobG/HgwQMcPnwY0dHR2Lt3r6WraBAK6DbG1D2jlRNdTJq/PTp06BBKSkowa9YslTRdhsur2wn4rXyfm6hv1ZToMly+86xup3aeGeBkVF1MqV+/fggPD8eOHTsgl8sNzqekpESv/XMT4rW+3zyBAF4jRiBk5bsI3/El+ry/Aa69erUkNjfj7r/2aTx2YUqZ1vfP2ZGHqL4izBrhijFhNHmxPatWrUJubi4AIC4uDvfv38fx48fh4uICuVyO+fPno6KiwsK11B8FdBtkqqA+vm8tfDtQQNdXamoqeDweJk+ebHAeLcEgQWNAiEjbha6TzHNZ1sKUMiz6SnMA2TLHBxMirHsYNy4uDiUlJcjIyDDo+KysLPTp0wfr16/nrE6Br76GgLnz4BoSAr6jI0SdOsF/2otsesPduwbn7e0mwKRIVwwKFsFDTF/r2jAMg6+++op9vmHDBvj6+uLpp59GXFwcAKC6uhrfffedpapoMHrnbRTXQX3NVHeMjgzgNM9HAcMwyMzMRO/eveHp6amUlqn3xCzVOed8Z2dOzp1/+e9s/WqiZnFCkZBntefO2xo2bBgA4MSJEwYdHxoaioEDB2LZsmVYt24dJ3USOKv2nOVSKfvY0YsmrphDYWEhSktLAQBubm4ICHj4vde/f3/28dmzZ81eN2PRpDgbtmWODz4+XInrfzUZnQ8xTH5+PioqKhATE6OS5pFl3BcCF4G81cWq7kYdb2ufkUGDBgEAzpw5Y9Dxrq6uOHz4MMaNG4fly5eDYRgsX76cyypCLpPh7r7v2ec+z4zmNH+i3r1799jHbX+Ee3h4qN3PVlBAt3FvxHgCAN7dW45qPW+zunm2N3g8bteJf9TcunULAODn58ddpjweIlLT1GzW/F6pSyssLDR6kpqm2+1aoi76cHNzg0gkYt8fRYGBgSguLtYrvxUrViAiIoL94VaTn4/r69X33NueNun7wSY4+foqbWuur8fNrVtQe/06AKDDE0/Cd3RLQC+4K8UnR9RfOtr2NMh7UzrA202g12shDzFt1oRQfG6L3402FdBlMhlkMpnZy1T831rLfm9yy+xlqVSKTYcaUS5RPxloWUwzvL1bhvaamtT37G3lNZuqbH2Ul5cDADp06MBJHYJXrIR7z55q0xITE1W2paamorKyEosWLVJJa9v70NebY8UI7qx+gpW562IILy8vlJWpzgOYMmWK2u3q5OXlITc3F97e3ggKCuKkXrIHD3B90wdo+PNPAIDPyFHoGh9vkwHEFin++K6srFRKq6qqUrufrbCpgH7s2DG4uJh/0pb75UvIunzJ7OUCAPqGIj09Xa9Dwh2h8TryrCzd89G3XC5Zouy6urr2d2rD+e/zovX19ZzU4caa1QDUD7cnJSWpbMvMzERRUZHaNGNtPVILoFbtcLu562KI+vp6td8XH3zwgU7Hnz59GjExMfDx8UFGRgZ6tc5IB+DWp4/Ke9TaM9d2qqT+1i3c2PQBZBUVAI+HzpOnoNOECUr7hHR2VGnz1p65rZ36sEZBQUHo2LEj7t+/D4lEguLiYvY8+sWLF9n9IiMjLVVFg9lUQB8zZozZF4qQyWTIunwJQcHBEPDNO4ewWS7HeQCjR4+GUCg0W7kymQzp6elmL9fSZbf2tvXh+/dQKteXuOQmxCNo8xZ4cNTzN8bClDIkPS9EB0/bWZ9ALpejqqoKoaGhBh2fk5ODsWPHQiQSISMjA2FhYUbXqebKFRRu2YzmujrwHBzw2LyX4fX35D1jyRkGdY0tw8XSpofDxk3NDCQNLaN1IiEPDgIaBQCAl156ib2C4Z///Ce2bduGCxcuYN++lksH3d3dMXXqVEtW0SA2FdCFQqHZv+RbCfh88AWWOVdlqddtyfa2RNmGlBcaGgo+n4+CggKVtKrIoUZNjLu5aCEAbibH9fcoNGpiXNJ+GQDrXSGurYKCAsjlcqVZy/oICQlBVFQU1q1bZ3Aebf21/99o/nsUiGlqQvHnn6H488+U9lF3vl0XDyRy/O+/HqhsP1coxbnClh+b059yRWSI6e8JYQtWrlyJo0ePIjc3F99//z2+//7h5EQ+n48vvvgCXjZ41QFdtkaIETw9PREWFoacnByVCTbRCxZwUkZuQjykDQ1G5TFv0mBO6rIwpQwNjeaf36CvrL/PLUVFRRl0vIeHBw4ePMhZMCfWRSwW49SpU1ixYgVCQkLg6OgIT09PjB07FidPnsS0adMsXUWD2FQPnRBrNHHiRCQlJSE7O1vt0q9cuDT/FY2z381t6Z6WiUPW3FtPT0+HQCDA+PHjzVZmeyMpIcsMv+ytvbb2dhNY9fthjdzc3LB69WqsXr3a0lXhDPXQCTHSvHnzIBAIsHv3bpU0Lq8lV3fb1daJaLow9Re+PnUxpbq6Ohw4cAATJkyAv7957n9AiDWggE6Ikbp06YK4uDjs2bMHtbW1Kunub7/NSTlc/DiYN6yGg5pYd+987969kEgkWLx4saWrQohZUUAnhANr1qyBRCLBtm3bVNKCw8LhZeTtGLnq6ffv3R2RPYy7Ba81B/OmpiasXbsWsbGxGDFihKWrQ4hZUUAnhAPdu3dHWloaxGKx2vSAeS8jYP37BuXN6bA9gOnD3bFsvGHTZ6w5mAMtK/fNnDkTH36o2x3sCLEnNCmOEI60d92qV+fO8ErbhdzZCWrPh7f12IRYeE+ZwlX1lHTy9cSWOcCilDI1t4RR9XQPV8QOt/5LngIDA61mYRtCzI0COiFmpjhTPW/Ba2hWOO/u1Lkz+hrYkzeE4jrty/aUoa7xYVpHDwFWTLL8wjaEEN1QQCfEgsI+/az9ncxk3XTTD6f7P2+ee7oT8iiic+iEEEKIHaCATgghhNgBCuiEEEKIHaCATgghhNgBCuiEEEKIHaCATgghhNgBCuiEEEKIHaDr0AmxoAuvvgp5fR373NHPD6EbNlqkLu98U4566cN143zd+Vg52YvTMg6fk3Can6KYx11NljchtoACOiFmpm3pV+m9e8hNiAcAuI8aheCE2Sati7alX0ur5ViYUgYAGNpXjBcjnU1aF0KIcWjInRAzKb9zpyVY67COOwBUnzjBBneu3b3/AAt1XMcdAM5ermWDOyHEOlFAJ4QDcrkc4eHhGDdunNr0ou1foGTZOwblzXVQ3/1rNdb/0mzQsdYe1K9fvw4HBwd8+umnlq4KIWZHQ+6EcCA1NRV5eXnYsWOHStr18+dRc/q01uMVb5GqLoDnJsRzchvVvPybyL7hrnUfxVukqgvgC1PKrPY2qj169MCMGTOQlJSEmTNnwt1d+2s1J1l1Ne79/BPqbt5EXXExGJkMAOD11FMIePkVo/K+9KcUF4obUVLahOp6ORqbGHi68PGYjwNGh7nA34u+6tuSSCRYv3499u3bh+LiYri4uGDo0KFYtmwZhg8fbunqGYR66IQYqbm5GcnJyYiKisKQIUNU0ms+0n5vbvfFb+lUjrpAHx0djcDAQJ2OB4CdZ7UHuLlDdZu0pi7Q61sXU1myZAlKS0uxdetWS1dFiezBA5QeO4ba69fZYM6VX/PrkVXQiLuVzahtZNDUDJTVyHGuUIqNP1Xi8i0pp+XZutraWowYMQJr1qzBtWvX0NjYiAcPHuDw4cOIjo7G3r17LV1Fg1BAJ8RIhw4dQklJCWbNmqWSpstweXU7Ab+V73MT9a2aEl2Gy3ee1W2m+DMDnIyqiyn169cP4eHh2LFjB+RyucH5lJSU6LV/bkK81vdb4OIC3zFjEPDqq/CbEKtX3gtTyrS+fwI+EBnihEXjPLBxljdWTOqAYL+WXrmcAQ7+t1bjsY+iVatWITc3FwAQFxeH+/fv4/jx43BxcYFcLsf8+fNRUVFh4VrqjwI6IUZKTU0Fj8fD5MmTDc6jJRgkaAwIEWm70HWSeW49ujClDIu+0hxAtszxwYQIN7PUxVBxcXEoKSlBRkaGQcdnZWWhT58+WL9+PWd1cvL1RdcZM+E17Ak4enF7OWD8CDdMf8oN3f2EcHTgoaOHAM8NFrPp96oMmzNhjxiGwVdffcU+37BhA3x9ffH0008jLi4OAFBdXY3vvvvOUlU0GAV0QozAMAwyMzPRu3dveHp6KqVl6j0xS3XOOd/ZmZNz51/+O1u/mvBUt4mEPKs9d97WsGHDAAAnTpww6PjQ0FAMHDgQy5Ytw7p167ismkmIHFW/ymUKMbyDmL7qWxUWFqK0tBQA4ObmhoCAADatf//+7OOzZ8+avW7GopkShBghPz8fFRUViImJUUnzyDLuC4GLQN7qYlV3o463lUDeatCgQQCAM2fOGHS8q6srDh8+jHHjxmH58uVgGAbLly/nsoom1dTM4Oech8Psw/vQGgKt7t27xz5u+yPcw8ND7X62ggI6IUa4desWAMDPz4+7THk8RKSmqdmsptusJa2wsNDoSWo8AJvVBHNL1EUfbm5uEIlE7PujKDAwEMXFxXrlt2LFCkRERLA/3Gry83F9vfqee9vTJn0/2AQnX1+dyyq4K8UnR6rVprU9DfLelA7wdhMobWuQyrHzRA2KSpsAAIODnTCij0jn8h8lTJs1IRSfa/uMWyubCugymQwyjmeH6lImADQbMbnGUK1lWuo1m7tcaylbH+Xl5QCADh06cFKH4BUr4d6zp9q0xMRElW2pqamorKzEokWLVNLa9j709eZYMYI7q+/ZmbsuhvDy8kJZmeo8gClTpqjdrk5eXh5yc3Ph7e2NoKAgrqvIuaq6Znx+rBp3HrSMtz/ZS4Qpw8Q2GZxMRfHHd2VlpVJaVVWV2v1shU0F9GPHjsHFxcX8BfcNxXnzl8pKT09/pMq1VNl1dXXt79SGs3NLwKuvr+ekDjfWrAagfrg9KSlJZVtmZiaKiorUphlr65FaALVqh9vNXRdD1NfXq/2++OCDD3Q6/vTp04iJiYGPjw8yMjLQq1cvNs2tTx+V96i1Z27sqZKQzo4qbd7aM9d26uPugyZ8nl6Nylo5eACeHeiC0WEW+L60ckFBQejYsSPu378PiUSC4uJi9jz6xYsX2f0iIyMtVUWD2VRAHzNmjNkXipDJZEhPT8fo0aMhFAofibIfxdcMPOxt68P376FUri9xyU2IR9DmLfDgqOdvjIUpZUh6XogOnh7t72wl5HI5qqqqEBoaatDxOTk5GDt2LEQiETIyMhAWFmZ0nRi5HM21Lee1mxsbH9ZV1oSmmhoAAF8kAt+Az/31v2T4MqMa9VIGAj4wY7gbBgZZ76WFlvbSSy+xVzD885//xLZt23DhwgXs27cPAODu7o6pU6dasooGsamALhQKzf4l/yiX/ai9ZkPKCw0NBZ/PR0FBgUpaVeRQoybG3Vy0EAA3k+P6exQaNTEuab8MgPWuENdWQUEB5HK50qxlfYSEhCAqKgrr1q0zOI+2pOXluPw/b6tsr8w6i8q/PyePzXsZ3gasUnY4t5a9U16zHNh1qga7TtUo7aPufPujauXKlTh69Chyc3Px/fff4/vvv2fT+Hw+vvjiC3hxfGmhOdC1DIQYwdPTE2FhYcjJyVGZYBO9YAEnZeQmxEPa0GBUHvMmDeakLgtTytDQaP75DfrKysoCAERFRRl0vIeHBw4ePMhZMCfWRSwW49SpU1ixYgVCQkLg6OgIT09PjB07FidPnsS0adMsXUWD2FQPnRBrNHHiRCQlJSE7O1vt0q9cuDT/FY2z381t6Z6WiUPW3FtPT0+HQCDA+PHjzVZmeyMpTr6+Bo+2tNfWb8R4GpTvo8zNzQ2rV6/G6tWrLV0VzlAPnRAjzZs3DwKBALt371ZJ4/JacnW3XW2diKYLUwdgfepiSnV1dThw4AAmTJgAf39/S1eHELOhgE6Ikbp06YK4uDjs2bMHtbWqa2a7v6163tQQXPw4mDespv2ddGDNvfO9e/dCIpFg8eLFlq4KIWZFAZ0QDqxZswYSiQTbtm1TSQsOC4eXkbdj5Kqn3793d0T2cDQqD2sO5k1NTVi7di1iY2MxYsQIS1eHELOigE4IB7p37460tDSIxWK16QHzXkbA+vcNypvTYXsA04e7Y9l4w6bPWHMwB1pW7ps5cyY+/FC3O9gRYk9oUhwhHGnvulWvzp3hlbYLubMT1J4Pb+uxCbHwnjKFq+op6eTriS1zgEUpZWpuCaPq6R6uiB1u/cuHBgYGWs3CNoSYGwV0QsxMcaZ63oLX2MVGAMCpc2f0NbAnbwjFddqX7SlD3cP1TtDRQ4AVkyy/sA0hRDcU0AmxoLBPP7N0FVjrppt+OD3mcVeTl0HIo4rOoRNCCCF2gAI6IYQQYgcooBNCCCF2gAI6IYQQYgcooBNCCCF2gAI6IYQQYgcooBNCCCF2gK5DJ8SCLrz6KuT1dexzRz8/hG7YyGkZd/b/m9P8FPk/P8lkeRvrnW/KUS99uA6erzsfKyd7cVrG4XMSTvNTRNfsE31RQCfEzLQt/Sq9dw+5CfEAAPdRoxCcMNuMNbN92payLa2WY2FKGQBgaF8xXox0Nl/FCDEDGnInhANyuRzh4eEYN26cxn3K79xpCdY6rOMOANUnTrDB3dpdv34dDg4O+PTTTznPW5e2vXv/ARbquC49AJy9XMsGd2tnyrYl9oUCOiEcSE1NRV5ensYbgxRt/wIly94xKG9bCOo9evTAjBkzkJSUhOrqak7zbq9td/9ajfW/NBuUty0EdVO2LbEvFNAJMVJzczOSk5MRFRWFIUOGqKRfP38eD06f1ppHRNou9p86thDUlyxZgtLSUmzdupWzPNtr27z8m8i+IdWax5Y5Puw/dWwhqJuibbkiq67Grd1f49Lbb+H83Jdw8fV/oPCTj1FfUmJ03jX1cvxwVoLkfRV4K60MK74tR8rJatyuaDIqX6lUiqVLl2LkyJFwd3cHj8cDj8dDdHS00XW2JArohBjp0KFDKCkpwaxZs9Sm13yk/d7c7ovf0qkcdUE9OjoagYGBOh1vav369UN4eDh27NgBuVyudV9d691e2+486671+LlDdZu0pi6o22rbmpOsshLXkpNQmp4OaVkZmKYmNNXUoDI7G1dX/S9qrlwxOO+qOjk+PFiJX/MbUCGRo1kOSBoYnC+S4qODlbj+l8zgvOvq6rBhwwZkZmaipqbG4HysDQV0QoyUmpoKHo+HyZMnq6Tp0rOubifgt/J9bqK+VTO7uLg4lJSUICMjg5P8tLWtLj3rnWd1myn+zAAnvetmbsa2bYkBPebchHitn+Fbe76BtKzlffAd8//Qf9unCHj1NYDHAyOVomTHdjDN6k+HLEwp0/oe7v8/CSokLT9eovqKsHa6F+Kj3MDjAbJm4JvfatAs13XWhDKhUIjXXnsNX331lVWOehiKZrkTYgSGYZCZmYnevXvD09PT4HxavjR5gIZpXZqG4q3NsGHDAAAnTpzA6NGjjcqLq7ZdmFIGHgMwPPXpmobirY0xbZuVlYVRo0bh3XffxTvvGDaXo62m2lpU5uQAAHhCIfxfeAF8R0d4DRuG8sxMSK7kQ1pWhuo//oBHeLheedc1ynGhqOVUilAATBgohtCBh4FBTjhztQHX/5KhQiLH1Tsy9O3qqHfdxWIxO8nwyJEjeh9vraiHTogR8vPzUVFRgccff1wlLVPvWcmqwZzv7GwzwRwABg0aBAA4c+aM0Xlpa9sv/52tV17qgrlIyLOZYA4Y17ahoaEYOHAgli1bhnXr1nFSn/riYuDv3reTXyfwHR8GVuduXdnHdTdu6J33rfImtHa+fdwFEDo8fAP9OwjYx0Wlhg+72yPqoRNihFu3bgEA/Pz8VNI8ss4albctBfJWbm5uEIlEbLsYQ1vbXqzqblTethTIWxnTtq6urjh8+DDGjRuH5cuXg2EYLF++3Kj6yKqq2McCFxelNL7zw2v8ZdVV0FdNw8Mfty6Oyr/GRArPa+oNG3K3VzYV0GUyGWQy8/4iay3P3OVasuxH8TUbWmZ5eTkAoEOHDtxVhMdDRGqams0axow1pBUWFlpkUpeXlxfKyh6eGzW03qZoWx6AzWqCua22LQAEBgaiuLhYr3xWrFiBiIgIxMTEsNtq8vNxfb363nvb8+h9P9jUZg9G41MeeCi4K8UnR9Rfctf2PPp7U5Tfb5WQrZQ3UWRTAf3YsWNwafNL0FzS09N13repqQmPHU+HQ12d2vQ/nn4G7h4eOuV1s64rvvgxX+eyudNVr9fMNUuUXafh/dLG+e+eSH19PSd1CF6xEu49e6pNS0xMVNmWmpqKyspKLFq0SCXNmPPOxqivr1f6OzW03ly37ZtjxQjurH51OFttWwCYMmWKSpDXJC8vD7m5ufD29kZQUJBRdREqfIc1t/nbaVZYztjBQ/uVCOq4iR6G6vpG5ZBeL3v43M2ZQroimwroY8aMgbu7/h8OY8hkMqSnp2P06NEQCoVa981fvBjNNe0v/NAv4zj7OHTHlxp7BzKZDF/8mI/goCDwBQK1+5iCvLkZN27e1Ok1c02f9uZaa49QH76+vgCAiooKTupwY81qAOqH29UtrJKZmYmioiKNi66Ym1wuR1VVFUJDQ9lthtab67bdeqQWQK3a4XZbbVsA+OCDD3Q6/vTp04iJiYGPjw8yMjLQq1cvpXS3Pn1UPnetPXN1n0cHsRg8gQBMczMa792DXCplz6M3KJwWcAkKRufOjirt3tozV/d+uDjxIOADzXKgrKYZsiaGPY9+98HDa9ADfM37HWHtbCqgC4VCs3/J61L2tVWrUHu9wKB8L708D4D286V8gQACvvnnL1pre5uyTH2FhoaCz+ejoMCw91+T3IR4BG3eAg8uh/LNoKCgAHK5HP379zc6L1O17cKUMiQ9L0QHT91GyayFMW2bk5ODsWPHQiQSISMjA2FhYUbXR+DiAo9Bg1GZdRaMTIY7+/ah08SJqLl4EZKrVwEAjj4+cO/XT++8nR35CA9wxLlCKWTNwM//rcXYAS64cluGG/daArqXKx+9/A3/jmgd1VBcfU8mk7HbXVxcLDYibCia5W6k3IR4g4N523waaFlHm+Pp6YmwsDDk5OSAabNGe1XkUKPyvrlooU2sEKcoKysLABAVFWV0Xtratr9HoVF5J+2X2cQKcYqMaduQkBBERUXhxIkTnATzVl2nT4ejT0sPu/TYUVxc8BqKPvsUYBjwHB3x2MuvgGfg6OLEIa7wcm0JUacuN2DZngqknaoBw7RcyjZjuBsEfMOH3H19feHr64upU6ey286cOcNu37Bhg8F5WwoFdCNw/WWb/8bruHLoEKd5EtObOHEiqqqqkJ2tfClV9IIFnOSfmxAPaUMDJ3mZWnp6OgQCAcaPH89Jfpradt6kwZzkvzClDA2NtnHpkzFt6+HhgYMHD3IycqJI6OmJnolJ8HnmGTj6+IAnEMDBzQ2egwaj17vvwa13b4Pz9nDh463xnhjeRwQvVz4EfEDsxEN4gCMWj/dEj0403N6WTQ25WxN9grnicDrDMDg/O0HjvvXf7UXNwIFwU3OpDrFO8+bNw6pVq7B79261641z4dL8VzTOfrcWdXV1OHDgACZMmAB/f39O8jRH2y7d03JZlTVfymaKttWFLpdOCt3d0W1WPDBLvw6OLu3t5szHlKGumGLcYJdabUd97AH10A2gTzD3HDxI6TmPxwMctP+Ouv7PJQbVi1hGly5dEBcXhz179qC2tlYpjdNrydV8AbVO3LIGe/fuhUQiweLFi9vdV9d6a2tbUwdgW21b8uiigK6nSx/rt+6vdOgTKtt6rljZ7nF/LF6kVznEstasWQOJRIJt27appLm//TYnZVjzQjNNTU1Yu3YtYmNjMWLECE7z1ta284Zxc2MNa+6dm7JtiX2hgK4n6d9rF+uqTs0PgGv/m9zucf0+2qxXOcSyunfvjrS0NIjFYpW04LBweA0fblT+1hzMgZZV3WbOnIkPP9TtRjP60Na2/Xt3R2QP/dfyVmTNwRwwbdsS+0Ln0PXw59eGfaleTU5Cr8QkAMCVlSvVDp0qsvYvb6Ke4mzZtgLmvQy3Z8ej+J2leudrC5+HwMBAk16vra1tpw93x6jelVh3UP97ZFt7MAdM37bEflAPXQ9lx4+3v5MadTdvsrchrP9T8y0Mnbt3t4kvb2IYr86dW95fLcuMKnpsQix9HnTUydcTW+b46LwU6NM9XG0imBOiD+qhWwn64n50KM5Uz1vwGpoVJns5de6Mvuvft0S17ILiOu3L9pShrvFhWkcPAVZMsq2FegjRBwV0Hd0wsHfeLgcHROz8yjR5E6sX9ulnJi/D//lJJi/DGq2bbvoeeMzjriYvgxBdUUDXkcwEC76E7fwKgnYuYSOEEEJ0QdFER00G3NNXIytfIIQQQojtoYBuZj7RI9FtzhxLV4MQQoidoVnuZlaWedLmbrhBCCHE+lFA15HAg9tbLeYmxCPn2DFO8ySEEPLoooCuI6eYcZznKfhmN3K13KiFEEII0RUFdB0FPfOMaTJmGOQmxKPkP/8xTf6EEEIeCTQpzkqU79iO8h3baYGZR8yFV1+FvL6Ofe7o54fQDRs5LePwOQmn+Smy5uuw3/mmHPXSh8ss+7rzsXKyF6dl3Nn/b07zU/Sorh9ADEcBXQ++o8egNN20571zE+Lh+I9/IHRIpEnLIZaTOztB43r+0nv32EmT7qNGIThhthlrZvsWpZRB050SSqvlWJhSBgAY2leMFyOdzVcxQsyAhtz10HXmTLOUI922DZeX6n8TD2I5crkc4eHhGDdO81yL8jt3WoJ1OzfnaVV94oTNXBFx/fp1ODg44NNPP+U8b13a9u79B1ioJZi3dfZyLRvcrZ0p25bYFwroenIcPMQs5TTe+8ss5RBupKamIi8vT+NdsYq2f4GSZe8YlLctBPUePXpgxowZSEpKQnV1Nad5t9e2u3+txvpfmg3K2xaCuinbltgXCuh6Cn39dbOUQyvJ2Y7m5mYkJycjKioKQ4ao/uC7fv48Hpw+rTWPiLRd7D91bCGoL1myBKWlpdi6dStnebbXtnn5N5F9Q6o1jy1zfNh/6thCUDdF23JFVl2NW7u/xqW338L5uS/h4uv/QOEnH6O+RPOdJXVVUy/HD2clSN5XgbfSyrDi23KknKzG7Qr9b5WrSCqVYunSpRg5ciTc3d3B4/HA4/EQHR1tdJ0tiQK6AUw9ca0Hx5OiiGkdOnQIJSUlmDVrltr0mo8+1Hq8++K3dCpHXVCPjo5GYGCgTsebWr9+/RAeHo4dO3ZALpdr3VfXerfXtjvPums9fu5Q3SYEqgvqttq25iSrrMS15CSUpqdDWlYGpqkJTTU1qMzOxtVV/4uaK1cMzruqTo4PD1bi1/wGVEjkaJYDkgYG54uk+OhgJa7/JTM477q6OmzYsAGZmZmoqakxOB9rQwHdQKYK6s5Tp8HNz88keRPTSE1NBY/Hw+TJk1XSdOlZV7cT8Fv5PjdR36qZXVxcHEpKSpCRkcFJftraVpee9c6zus3Cf2aAk951Mzdj27bEgB5zbkK81s/wrT3fQFrW8j74jvl/6L/tUwS8+hrA44GRSlGyYzuYZvWnQxamlGl9D/f/nwQVkpYfL1F9RVg73QvxUW7g8QBZM/DNbzVolus6a0KZUCjEa6+9hq+++soqRz0MRbPcjRCRtovTodC+27bBydWNs/yI6TEMg8zMTPTu3Ruenp4G59PyOeIBGqZ12crljMOGDQMAnDhxAqNHjzYqL67admFKGXgMwPDUp2sairc2xrRtVlYWRo0ahXfffRfvvGPYXI62mmprUZmTAwDgCYXwf+EF8B0d4TVsGMozMyG5kg9pWRmq//gDHuHheuVd1yjHhaKWUylCATBhoBhCBx4GBjnhzNUGXP9LhgqJHFfvyNC3q6PedReLxewkwyNHjuh9vLWiHrqRItJ2wbV3b07yoWBue/Lz81FRUYHHH39cJS1T71nJqsGc7+xsM8EcAAYNGgQAOHPmjNF5aWvbL/+drVde6oK5SMizmWAOGNe2oaGhGDhwIJYtW4Z169ZxUp/64mLg7963k18n8B0fBlbnbl3Zx3U3buid963yJrR2vn3cBRA6PHwD/TsI2MdFpYYPu9sj6qFzIGTZcgDAxTdfR1OVfrNQB6SmgcfT0HUgVu/WrVsAAD81p0k8ss4albctBfJWbm5uEIlEbLsYQ1vbXqzqblTethTIWxnTtq6urjh8+DDGjRuH5cuXg2EYLF++3Kj6yKoe3lJa4OKilMZ3fniNv8yAW0/XNDz8ceviqPz9KFJ4XlNv2JC7vbKpgC6TySCTmfcXWWt5upTbe9NHAFpmUBYlJkJael/tfv7vb4CXtzcAoKlJ82zN1jLlGs5BmUpreeZua8UyLVm2PsrLywEAHTp04K4iPJ7aqxy0/fBTl1ZYWGiRSV1eXl4oK3t4btTQepuibXkANqsJ5rbatgAQGBiI4uJivfJZsWIFIiIiEBMTw26ryc/H9fXqe+9tTy32/WBTmz0YjU954KHgrhSfHFHf2Wl7Hv29Kcrvt0rIVsqbKLKpgH7s2DG4tPklaC7p6en6HTB8uMakkqwsnbMJcgGYv27BvCG9pdz0dON7WYbSu705UFdX1/5ObTj/3ROpr6/npA7BK1bCvWdPtWmJiYkq21JTU1FZWYlFixappBlz3tkY9fX1Sn+nhtab67Z9c6wYwZ3Vrw5nq20LAFOmTFEJ8prk5eUhNzcX3t7eCAoKMqouQoU7UDa3+dtpVljO2MFD+5UI6riJHobq+kblkF4ve/jczZlCuiKbCuhjxoyBu7v+Hw5jyGQypKenY/To0RAKhY9E2Y/iawYe9rb14evrCwCoqKjgpA431qwGoH64Xd3CKpmZmSgqKtK46Iq5yeVyVFVVITQ0lN1maL25btutR2oB1KodbrfVtgWADz74QKfjT58+jZiYGPj4+CAjIwO9evVSSnfr00flc9faM1f3eXQQi8ETCMA0N6Px3j3IpVL2PHqDwmkBl6BgdO7sqNLurT1zde+HixMPAj7QLAfKapoha2LY8+h3Hzwc1QzwNe93hLWzqYAuFArN/iX/KJf9qL1mQ8oLDQ0Fn89HQUEBp3XJTYhH0OYt8OByKN8MCgoKIJfL0b9/f6PzMlXbLkwpQ9LzQnTw9Gh/ZytiTNvm5ORg7NixEIlEyMjIQFhYmNH1Ebi4wGPQYFRmnQUjk+HOvn3oNHEiai5ehOTqVQCAo48P3Pv10ztvZ0c+wgMcca5QClkz8PN/azF2gAuu3Jbhxr2WgO7lykcvf8O/I1pHNRRX35PJZOx2FxcXi40IG8qmAjoh1sbT0xNhYWHIyckBwzBK51urIocaNTHu5qKFAGxrclzW36eToqKijM5LW9v29yg0amJc0n4ZgDKbmhxnTNuGhIQgKioK69at4+THVquu06ej7sZ1SMvKUHrsKEqPHWXTeI6OeOzlV8ATCLTkoNnEIa4oKq1EhUSOU5cbcOpyA5smFAAzhrtBwDd8yL11BEjRmTNn2O2JiYlWMzqjK7psjRAjTZw4EVVVVcjOVr6UKnrBAk7yz02Ih7Shof0drUB6ejoEAgHGjx/PSX6a2nbepMGc5L8wpQwNjbZx6ZMxbevh4YGDBw9yGswBQOjpiZ6JSfB55hk4+viAJxDAwc0NnoMGo9e778HNiEt6PVz4eGu8J4b3EcHLlQ8BHxA78RAe4IjF4z3RoxMNt7dFPXRCjDRv3jysWrUKu3fvVrveOBcuzX9F4+x3a1FXV4cDBw5gwoQJ8Pf35yRPc7Tt0j0tl1VZc2/dFG2rC11Gh4Tu7ug2Kx6Ypd8iW7q0t5szH1OGumLKUL2y1gmj410PbQn10AkxUpcuXRAXF4c9e/agtrZWKY3T4XI1X0CtE7eswd69eyGRSLB48eJ299W13tra1tQB2Fbbljy6KKATwoE1a9ZAIpFg27ZtKmnub7/NSRnWfC69qakJa9euRWxsLEaMGMFp3tradt4wbm6sYc29c1O2LbEvFNAJ4UD37t2RlpYGsViskhYcFg4vLesS6MKagznQsqrbzJkz8eGHut1oRh/a2rZ/7+6I7KH/Wt6KrDmYA6ZtW2Jf6Bw6IRyZOnWqxrSAeS/D7dnxKH5nqd75WnswB1pWKzPljGBtbTt9uDtG9a7EuoP63yPb2oM5YPq2JfaDeuiEmIlX584twVnHtfsfmxBrE8HcGnTy9cSWOT46LwX6dA9XmwjmhOiDeuiEmJniTPW8Ba+hWWGyl1Pnzui7/n1LVMsuKK7TvmxPGeoaH6Z19BBgxSTbWqiHEH1QQCfEgsI+/czkZcQ87mryMqzRuumm74H7Pz/J5GUQoisacieEEELsAAV0QgghxA5QQCeEEELsAAV0QgghxA5QQCeEEELsAAV0QgghxA5QQCeEEELsAAV0QgghxA5QQCeEEELsAAV0QgghxA5QQCeEEELsAAV0QgghxA5QQCeEEELsAAV0QgghxA5QQCeEEELsAAV0QgghxA5QQCeEEELsgIOlK6ALhmEAANXV1WYvWyaToa6uDtXV1RAKhY9E2Y/iawaAmpoaAA8/b4QQYktsIqC3ftF269bNwjUhj4Kamhp4eHhYuhqEEKIXHmMD3RG5XI47d+7Azc0NPB7P0tUhdophGNTU1MDf3x98Pp2NIoTYFpsI6IQQQgjRjrohhBBCiB2ggE4IIYTYAQrohBBCiB2ggE4IIYTYAQrohBBCiB2ggE4IIYTYAQrohBBCiB2ggE4IIYTYAQrohBBCiB2ggE4IIYTYAQrohBBCiB2ggE4IIYTYAQrohBBCiB2ggE4IIYTYAQrohBBCiB2ggE4IIYTYAQrohBBCiB2ggE4IIYTYAQrohBBCiB34/2RVnEFQS60LAAAAAElFTkSuQmCC" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 4 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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115W2K7Qub9q0aUxpaSnz66+/ssFdJBIxcrmc3b/15ZJtjRs3jq3PtWvXmMbGRubPP/9kDh06xCQlJZmoFYkp3L9/X+m98fvvv2vdf9GiRey+o0aNYm7dusXcvn2beeaZZ9jtixYtYvc3NKADYN544w2mvLycOXjwoNIPhtY05c8wxn1GnnrqKebatWtMTU0Nc/HiRf0atXX9DD6SEGKVdA3oNTU1bG8pIiKCYRiGyc3NZfd7+eWX2TwDAwO15gmAGTt2LLu/Yhufz2fKy8vZ7dHR0Wza3bt32e3aAnpCQgIDgOHxeMz06dOZ999/n0lPT2fu3bvHddMRE7t3757Se+bs2bNa92/9vjt//jy7PS8vj93epUsXdruhAd3Pz4+96yTDMIyPjw8DgHFyclLKR1tAN/QzAoApKSlpr+l0YpKlX7kml8tx584duLu7092piMkwDIPq6moEBARwfg2/pcTHx2tcK97FxQUzZszAp59+ivz8fJw/fx5ffvklm75gwQL279Zr2msiFotVtnXq1ElpDfzWlyHV19fr8hSQmJiIgoICHD58GPv27WNXleTz+Zg6dSq+/PJLlWWIiXXy9fWFh4cHe+774sWLiIqK0rh/6/dd6xtJtT5vre69ybS5UqKpqUlrvbp3787edRJofp+WlZXpdZMwQz8jfn5+6Nq1q87laGMTAf3OnTucPWFiOj9MmIBAdze1adF7vgSjNsX6/Pnnn+jSpYulq2EW8+fPx6effgoASE1Nxddffw0AeOyxxxAdHc3u5+/vj9u3b4PH4+H27dvo3LmzSl5tv0QB3W7+o2070HzNb3p6OioqKnDhwgUUFhZi3759OHr0KL7++mvExcVh2rRp7T9ZYnF8Ph/jxo3DV199BaB5suMLL7yg9gdZU1MT+74DmieiKe710PqSMX9/f/ZvJycnNDQ0KM0Ul8vluHnzptZ66fo+1cbQz4immzsZwiYCuru7OwCgsLCQ/dtcpFIpTpw4gaeeesqg1edssWx9yr215h3I/56xqs3vs1vWv+/6/haNHxhLtnd5eTl69Ohh9veYJT366KPo378/cnNzsX37drYnM3/+fKX9JkyYgI8//hgMwyA+Ph5bt25FWFgYysrK8L///Q+ff/45pk+fjtmzZxtUDx8fH/ZL+ty5c0rXH6ekpABovr/8o48+iujoaBQVFeHo0aMAgJKSEoPKJJaRmJiI77//HhKJBPn5+Rg/fjzWrl2LPn36QCKR4H//+x8+/PBDbNmyBXFxcewPzrfffhu7du0Cj8fD22+/zeYXFxfH/h0cHIyrV69CLBbjzJkzGDRoED744AOdbtmtCx8fH5SVlUEsFuP27dtK9w8x9WdEFzYR0BVf/t7e3vDw8DBr2VKpFC4uLvDx8bFIQLdE2bqUe23tWtRcLzAo/z/faL7TWNTuPSpplmxvBXs6rbN7927s3r1bZXthYSE7bDl//nzk5uaywdzNzQ3Tp09X2j85ORknTpzAxYsXkZGRgT59+qjkaUwv+fHHH2fvPKcYgo2JiUFWVhays7M1Lg3t4OCgctkdsW7du3fHf//7X0yZMgVisRjp6elIT09Xu29ycjJ++uknFBQU4MiRI0oBVJFX60WUZs+ejVWrVgFofk+5urpCIpHAxcWFk7tPPv744/jhhx9QU1PDjuIpTmuZ+jOiC/s4UUjMKi9+tsHBvG0+9W2uIyXm98ILLyiNSkybNk1llMLb2xvZ2dlYu3YtoqKi4Orqyt63YeTIkXj//feNui9BUlISZsyYAX9/f5UfVBMnTsSUKVMQGhoKd3d3CAQC+Pr6IjY2Fj/99JPVrSZG2vfUU0/h8uXLWLt2LQYNGgQvLy84OjoiMDAQTz31FLZu3Yru3bvDz88POTk5WLlyJfr06QORSAQnJyf07t0bK1asQE5ODnx9fdl8ly1bhpUrVyIoKAhCoRC9evXCwYMHMWDAAE7q/dFHH2HcuHHw8fFRSTP1Z0QXNrH0a1VVFTw9PVFZWWmRHvqhQ4cwZswYi/TQLVG2tnLz4rkfLnKeOg29/l5MwZLtXVZWBl9fX4u8zwghxFg2MeROrIM+wbz1cDrDMDg3J17jvnX/2o/q6Gi4t5rcQgghRD805E50ok8w9xrQX+kxj8cDHLT/drz+1jKD6kUIIaQZBXTSrosfbdNr/8bBj6ts67FqdbvH/bEkQa9yCCGEtKCATtrVmJur1/61an4AXPs/zbfzVOj7wYd6lUMIIaQFBXSi1Z9fql5apouryUns31dWrwbamXup7hI2QgghuqNJcUQr8U8/GXRc7c2bOp13d+7WDb2S2u+9E0II0Y4COrEY6pUTQgh3aMidaHTDwN55uxwcKJgTQgjHqIdONJIeOsR5nhG7voCgnUvYCCGE6I++WYlGTVWV3GXG4yEqTXVNcUIIIdyggE5Mznf4U+g6d66lq0EIIXaNzqETkxNnnTDJGvCEEEJaUEAnGgk8PTnNLy9+NnKPHeM0T0IIIc0ooBONnGLHcJ6n4Ku9yNNyoxZCCCGGoXPoRKOQZ57BH/u/5j5jhkFe/Gz4vDwfjzz5JPf525DzCxdCXlfLPhb6+yN802aL1GX5V2Woa2xZ0c/Pg4/Vk7w5LePOgf9wml9rARMmmixvQmwBBXRiMWUpO1GWsvOhuyY9b068xqVwG+/dY+cbeIwYgdD4OSatS0KqGJoW5S2tkmNxqhgAMLiPK14Y5GzSuhBCjEND7kQrv5GjTF5GXvxsXPwt2+TlWFrZnTvNwbqdde0Vqo4fN9lkwrv3H2CxlmDe1plLNWxwJ4RYJwroRKsuM2eapZzG7dtx6e23zVKWKcjlckRGRmLMGPXzDop2foaSFcsNypvroL73ZBU2/igz6FhrD+rXr1+Hg4MDPvnkE0tXhRCzoyF30i7hgIFozPnN5OU03PvL5GWYSlpaGvLz85GSkqKSdv3cOVSfOqX1+NanHdQF8Lz42Zycmsi/fBM5Nzy07rN1ri/7t7oAvjhVrLSPNQkLC8OMGTOQlJSEmTNnwsND+3M1p8pz51CRm4PawkJIKyogb2iAY4cOcOkWgk7jxsG5a1eD85bUy3HsfC2KS5twu7wJ0r9/rw0Mc8KMoe4cPQP70djYiHfeeQe//fYbfv/9d1RXVwMAYmJikJWVZdnKGYF66KRd4a++apZybHUlOZlMhuTkZMTExGDgwIEq6dUfbNF6vMeSpTqVoy7QDx8+HMHBwTodDwC7zmgPcC8NluiUj7pAr29dTGXZsmUoLS3Ftm3bLF0VJaU/ZaD8l19Qf+sWZBIJGKkUjffvoyL7DK4krkHl+fMG511RI8fPl+pRVNoSzIlmtbW12LRpE7Kysthgbg8ooBOdmHriWpiFZnZz4dChQygpKcGsWbNU0nQZLq9qJ+Ar+D03Xt+qKdFluHzXGTed8nrmUSej6mJKffv2RWRkJFJSUiCXyw3Op6SkRK/98+Jna329eQIBvIcNQ/fV7yAy5XP0/ucmuPXs2Zwok+Huv7/VeOziVLHW189ZyENMHxFmDXPDqAiavNgeR0dHvPLKK/jiiy+s7oefMWjInegsavcek0zScp46De7+/pznay5paWng8XiYNGmSwXk0tysP0DBNzZxXAixOFYPHAAxPfbq1Dre3NmXKFKxatQqZmZkYOXKk3sdnZ2djxIgReOedd7B8uWFzH9oKXvgKBM4twVbUqRMCpr2Aa8lJAID6u3cNztvHXYCJg5p/jP3vSp1R9XwYuLq6svMsjhw5YuHacId66EQvXAeWPtu3o5eGiWS2gGEYZGVloVevXvDy8lJKy9J7YpZqMOc7O3PS5p//J0e/mqgJ5iJHnk0EcwAYMmQIAOD48eMGHR8eHo7o6GisWLECGzZs4KROrYO5gryxkf1b6M3tNf/k4UM9dKK3qN17ULBhPSRXrhidj627fPkyysvLERsbq5LmmX3GqLy5bJ8Lld2MOt5WArlC//79AQCnT5826Hg3NzccPnwYY8aMwcqVK8EwDFauXMllFSGXSnH322/Yx77P6D+SQEhrFNCJQbqvaP5yu/D6q2iqrNLr2EfTdoPH0zCea2Nu3boFAPDn8pSBhlvNamszdWmFhYVGT1LjAfhQTTC3RF304e7uDpFIxL4+rQUHB6O4uFiv/FatWoWoqCj2h1v15cu4vlF9z73taak+770PJz8/pW2yujrc3LYVNdevAwA6PP4E/P4+NVBwtxEfH1H/mWp7Hn3N5A7wcRfo9VyI/bKpgC6VSiGVSs1eZuv/H4ay9Sm31/sfAGi+DKQoMRGNpffV7hfwz03w9vEBADQ1NXFSNtcMKbOsrAwA0KFDB07qELpqNTx69FCblpiYqLItLS0NFRUVSEhIUElrewpAX6+PdkVoZ/UTrMxdF0N4e3tDLFadSDZ58mS129XJz89HXl4efHx8EBISwkm9pA8e4Pr776H+zz8BAL5PjUCX2bPt5kcusRybCujHjh2Di4uLRcrOyMiwSLmWLFvvcocO1ZhUkq3fSnD6lN3U1ITfJINQLxepTY92OAJPj/avxa2trW13n7ac/z4vWlfHzUSkG+veBaB+uD0pKUllW1ZWFoqKitSmGWvbkRoANWqH281dF0PU1dWp/b547733dDr+1KlTiI2Nha+vLzIzM9FTMSMdgHvv3iqvkaJnru1USd2tW7jx/nuQlpcDPB46T5qMTuPGKe3TvbNQpc0VPXNbO/VBzMumAvqoUaPMvlCEVCpFRkYGRo4cCUdHx4eibFt5zkn/roKkvv3FS39vGg2UN/+9eYaHxp6QoretD7+/h1LLy8v1PlabvPjZCPlwKzw56vkbY3GqGEkTHNHBi9vb6ZqSXC5HZWUlwsPDDTo+NzcXo0ePhkgkQmZmJiIiIoyuU/WVKyjc+iFktbXgOTjgkXkvw/vvyXvGkjMMahuaPwuNTS2fiSYZA0l986V7IkceHAQ0CqCgGKWpqmo5vSGVStntLi4uFutAGsqmArqjo6PZA8zDXLa1PucPfqxA0X3Nw/baLPuq+cOrrqdjyHMNDw8Hn89HQUGBSlrloMFGTYy7mbAYADeT4/p5Fho1MS7pgBSA9a4Q11ZBQQHkcjn69etn0PHdu3dHTEwMNmzYYHAebf114D+Q/T0KxDQ1oXjHpyje8anSPurOt+vigUSO//v3A5XtZwsbcbaw+cfm9CfdMKi7+lGsh5GfmnY+ffo0uz0xMdFqRpt0RZetEZuyOFVscDBvm09VbWP7O7bDy8sLERERyM3NBdPmpivDFy0yOn+gubfeWF9vVB7zJg7gpC6LU8WobzD//AZ9Zf99iicmJsag4z09PZGens5ZMCfEHGyqh04eblzfGOSdf1VhbB8JRg4KNiqf8ePHIykpCTk5OWqXfuXCxQXzNc5+N7e391UCsO7zuRkZGRAIBBg7dqzZymxvJEVxZYgh2mtrH3eBVb8e1qjtD3B7QD10YhP0CeZb5/qy/z6c46N13/RLbrhfrv9kuNbmzZsHgUCAvXv3qqRxeq29mi8gxUQ0XZj6C1+fuphSbW0tDh48iHHjxiEgIMDS1SHEbCigE6unTzB/NEio9JjH48GRr/2X+LrvjQvogYGBmDJlCvbt24eamhqVdI833jAqfwUufhzMG8LNjSisuTe4f/9+SCQSLFmyxNJVIcSsKKATq/b50Tt67R/ZsVRl22vPerV7XOI3xs1SX7duHSQSCbZv366SFhoRCW8tl/Tpgquefr9e3TAoTNj+jlpYczBvamrC+vXrERcXh2HDhlm6OoSYFQV0YtUu3NEv+OzOUb206oMfKts9LnmKcetod+vWDbt374arq6va9KB5LyNo4z8NypvrJXKnD/XAirGGTZ+x5mAONK/cN3PmTGzZotsd7AixJxTQidX696+63Zu7rfd/aLl8Z9P3DzTcv6wFV0Fq6tSp+Mc//qEx3btz5+bgrOOKYI+MizPZeved/Lywda4vdL0q+ekwN6sP5kDzsq5JSUkIDQ21dFUIMTua5U6s1i9XDLtUq0Qs0+m8e5CvA5aO8zKoDGO0nqmev+gVyFqdd3fq3Bl9DOzJG6L1Ou0r9olR29CS1tFTgFUTLb+wDSFENxTQyUPJWnqbEZ982v5OZrJhuunbJGDCRJOXQcjDiobciVX6+ax+k+F05ci3nmBOCCFcoh46sUpZhW5Au2e/9fP+7A5wENCtJgkh9okCOrFK1XXcBXNN9/QmhBB7QgGd2LXHe4gw9Qk3S1eDEEJMjs6hE7t2+lo952vAE0KINaKATqyShzO3921enCpG5v/OcZonIYRYEwroxCrFhBi2qIw2/y3oggTqrRNC7BSdQydWKSYqAD9cbH/JVn0xaO6tvzAIGNzH8hPlzi9cCHldy81hhP7+CN+02SJ1Wf5VGeoaWyYj+nnwsXqScUvitnX4LPc/1BRiH6O5EuThRgGdPJS+zga+zhZb5Jr0vDnxam+FCgCN9+4hL342AMBjxAiExs8xaV0SUsUaLw4srZKz8w8G93HFC4OcTVoXQohxaMidWK1hvUUmL2Nxqhg5566YvBwAKLtzpzlYawjmbVUdP84Gd67dvf8Ai7UE87bOXKqhyYWEWDkK6MRqTRpsniHUvXm+WPcf426fKpfLERkZiTFjxqhNL9r5GUpWLDcob66D+t6TVdj4o8ygY609qF+/fh0ODg745JNPLF0VQsyOhtyJVYsIaES+nrdQNURppRzQ+d5jqtLS0pCfn4+UlBSVtOvnzqH61Cmtx7e+q5q6AJ4XP5uTO6/lX76JnBseWvdpfRpCXQBfnGqZUxW6CAsLw4wZM5CUlISZM2fCw0P7czUnaVUV7v3wX9TevIna4mIwUikAwPvJJxH08nyj8r74ZyPOFzegpLQJVXVyNDQx8HLh4xFfB4yMcEGAN33VtyWRSLBx40Z8++23KC4uhouLCwYPHowVK1Zg6NChlq6eQaiHTqzaS/8vwCzlGLOSnEwmQ3JyMmJiYjBw4ECV9OoPtN+b22PJUp3KURfohw8fjuDgYJ2OB4BdZ7QHuJcG6zZpTV2g17cuprJs2TKUlpZi27Ztlq6KEumDByg9dgw116+zwZwrJy/XIbugAXcrZKhpYNAkA8TVcpwtbMTm/1bg0q1GTsuzdTU1NRg2bBjWrVuHa9euoaGhAQ8ePMDhw4cxfPhw7N+/39JVNAgFdGL1TN0bXD3exajjDx06hJKSEsyaNUslTZfh8qp2Ar6C33Pj9a2aEl2Gy3ed0e00xzOPOhlVF1Pq27cvIiMjkZKSArlcbnA+JSUleu2fFz9b6+stcHGB36hRCFq4EP7j4vTKe3GqWOvrJ+ADg7o7IWGMJzbP8sGqiR0Q6t/cK5czQPrvNRqPfRitXbsWeXl5AIApU6bg/v37+Omnn+Di4gK5XI4FCxagvNy403CWQAGd2ARTBfWxfWrg18G4gJ6WlgYej4dJkyYZnEdzMIjXGBCidu9Bl4nmufXo4lQxEr7QHEC2zvXFuCh3s9TFUFOmTEFJSQkyMzMNOj47Oxu9e/fGxo0bOauTk58fusyYCe8hj0Poze3lgLOHuWP6k+7o5u8IoQMPHT0FeG6AK5t+r9KwORP2iGEYfPHFF+zjTZs2wc/PD08//TSmTJkCAKiqqsK//vUvS1XRYBTQic3gOqivm+qBkYOCjMqDYRhkZWWhV69e8PLyUkrL0ntiluqcc76zMyfnzj//T45+NVEznUDkyLPac+dtDRkyBABw/Phxg44PDw9HdHQ0VqxYgQ0bNnBZNZMQCVW/yqWtYngHV/qqVygsLERpaSkAwN3dHUFBLd8B/fr1Y/8+c+aM2etmLJopQWzK1rm++OhwBa7/1WR0Ply4fPkyysvLERsbq5LmmW3cFwIXgVzhQmU3o463lUCu0L9/fwDA6dOnDTrezc0Nhw8fxpgxY7By5UowDIOVK1dyWUWTapIx+CG3ZZh9aG9aQ0Dh3r177N9tf4R7enqq3c9WUEAnNue1WC8AwDv7y1Cl521WP5zjAx6Pu3Xib926BQDw9/fnLE/weIhK261ms+Z6q0srLCw0epKaplvPWqIu+nB3d4dIJGJfn9aCg4NRXFysV36rVq1CVFQU+8Ot+vJlXN+ovufe9rRJn/feh5Ofn85lFdxtxMdHqtSmtT0NsmZyB/i4C5S21TfKset4NYpKm3/0Dgh1MsuaDraIabMmROvHXH5PmItNBXSpVAopx7NDdSmz9f8PQ9m28pzXTGqesd3Y2Ij3DzWgTKJ+AtSKWBl8fJrPWTY1ae7ZG/J8y8rKAAAdOnTQ+1h1QlethkePHmrTEhMTVbalpaWhoqICCQkJKmltex/6en20K0I7q+/ZmbsuhvD29oZYrDoPYPLkyWq3q5Ofn4+8vDz4+PggJCSE6ypyrrJWhh3HqnDnQfN4+xM9RZg8xNUmg5OptP7xXVFRoZRWWVmpdj9bYVMB/dixY3BxMW4Ck6EyMjIsUq4ly7al5xwpBKBhnlF2tm551NbWtr9TG87OzQGvrq5O72PVubHuXQDqh9uTkpJUtmVlZaGoqEhtmrG2HakBUKN2uN3cdTFEXV2d2u+L9957T6fjT506hdjYWPj6+iIzMxM9e/Zk09x791Z5jRQ9c2NPlXTvLFRpc0XPXNupj7sPmrAjowoVNXLwADwb7YKREZb5vrRmISEh6NixI+7fvw+JRILi4mL2PPqFCxfY/QYNGmSpKhrMpgL6qFGjzL5QhFQqRUZGBkaOHAlHR8eHouyH8TkDLb1tffj9PZTK9SUuefGzEfLhVnhy1PM3xuJUMZImOKKDl2f7O1sJuVyOyspKhIeHG3R8bm4uRo8eDZFIhMzMTERERBhdJ0Yuh6ym+by2rKGhpa7SJjRVVwMA+CIR+Aa876//JcXnmVWoa2Qg4AMzhrojOsR6Ly20tBdffJG9guGtt97C9u3bcf78eXz77bcAAA8PD0ydOtWSVTSITQV0R0dHs3/JP8xlP2zP2ZDywsPDwefzUVBQoJJWOWiwURPjbiYsBsDN5Lh+noVGTYxLOiAFYL0rxLVVUFAAuVyuNGtZH927d0dMTAw2bNhgcB5tNZaV4dKbb6hsr8g+g4q/3yePzHsZPgasUnY4r4a9U55MDuz5uRp7fq5W2kfd+faH1erVq3H06FHk5eXhm2++wTfffMOm8fl8fPbZZ/Dm+NJCc6BrGQgxgpeXFyIiIpCbm6sywWb4okWclJEXPxuN9fVG5TFv4gBO6rI4VYz6BvPPrdBX9t/nWWJiYgw63tPTE+np6ZwFc2JdXF1d8fPPP2PVqlXo3r07hEIhvLy8MHr0aJw4cQLTpk2zdBUNYlM9dEKs0fjx45GUlIScnBy1S79y4eKC+Rpnv5vb2/uaJw5Zc289IyMDAoEAY8eONVuZ7Y2kOPn5GTza0l5bK678ILpzd3fHu+++i3fffdfSVeEM9dAJMdK8efMgEAiwd+9elTQuryVXd9tVxUQ0XZg6AOtTF1Oqra3FwYMHMW7cOAQEmOdeAIRYAwrohBgpMDAQU6ZMwb59+1BTo7pmtscbqudNDcHFj4N5Q6rb30kH1tw7379/PyQSCZYsWWLpqhBiVhTQCeHAunXrIJFIsH37dpW00IhIeBt5O0auevr9enXDoDDjbkdrzcG8qakJ69evR1xcHIYNG2bp6hBiVhTQCeFAt27dsHv3bri6uqpND5r3MoI2/tOgvDkdtgcwfagHVow1bPqMNQdzoHnlvpkzZ2LLFt3uYEeIPaFJcYRwpL3rVr07d4b37j3ImxOv9nx4W4+Mi4PP5MlcVU9JJz8vbJ0LJKSK1dwSRtXTYW6IG2r9y4cGBwdbzcI2hJgbBXRCzKz1TPX8Ra+wi40AgFPnzuhjYE/eEK3XaV+xT4zalvVO0NFTgFUTLb+wDSFENxTQCbGgiE8+tXQVWBumm344PfYxN5OXQcjDis6hE0IIIXaAAjohhBBiByigE0IIIXaAAjohhBBiByigE0IIIXaAAjohhBBiByigE0IIIXaArkMnxILOL1wIeV0t+1jo74/wTZs5LePOgf9wml9rARMmmixvYy3/qgx1jS3r4Pl58LF6kjenZRw+K+E0v9bomn2iLwrohJiZtqVfG+/dQ178bACAx4gRCI2fY8aa2T5tS9mWVsmxOFUMABjcxxUvDHI2X8UIMQMacieEA3K5HJGRkRgzZozGfcru3GkO1jqs4w4AVcePs8Hd2l2/fh0ODg745JNPOM9bl7a9e/8BFuu4Lj0AnLlUwwZ3a2fKtiX2hQI6IRxIS0tDfn6+xhuDFO38DCUrlhuUty0E9bCwMMyYMQNJSUmoqqriNO/22nbvySps/FFmUN62ENRN2bbEvlBAJ8RIMpkMycnJiImJwcCBA1XSr587hwenTmnNI2r3HvafOrYQ1JctW4bS0lJs27aNszzba9v8yzeRc6NRax5b5/qy/9SxhaBuirblirSqCrf2fomLbyzFuZdexIVX/4HCjz9CXUmJ0XlX18nx3RkJkr8tx9LdYqz6ugypJ6pwu7zJ4DzPnj2LiRMnIiwsDJ6ennBwcICPjw9iYmKQkpICRscRNGtEAZ0QIx06dAglJSWYNWuW2vTqD7Tfm9tjyVKdylEX1IcPH47g4GCdjje1vn37IjIyEikpKZDL5Vr31bXe7bXtrjMeWo9/abBuk9bUBXVbbVtzklZU4FpyEkozMtAoFoNpakJTdTUqcnJwde3/ofrKFYPzrqyVY0t6BU5erke5RA6ZHJDUMzhX1IgP0itw/S+pQfleunQJBw4cwI0bN1BVVQWZTIby8nKcPHkS8+fPx5tvvmlwnS2NAjohRkpLSwOPx8OkSZNU0nTpWVe1E/AV/J4br2/VzG7KlCkoKSlBZmYmJ/lpa1tdeta7zug2U/yZR530rpu5Gdu2JQb0mPPiZ2t9D9/a9xUaxc2vg9+o/4d+2z9B0MJXAB4PTGMjSlJ2gpGpPx2yOFWs9TU88JsE5ZLmHy8xfURYP90bs2PcweMBUhnw1S/VkMn1702HhoZix44dKCgoQF1dHW7duoX4+Hg2fdeuXXrnaS0ooBNiBIZhkJWVhV69esHLy8vgfJq/OOM1fnlG7d6DLhOt9xIxhSFDhgAAjh8/bnReXLXt4lQxEr7QHDy2zvXFuCh3g/M3F2PaNjs7G71798bGjRs5q09TTQ0qcnMBADxHRwQ8/zwc3NzgPWQI3Hr2AgA0isWo+uMPvfOubZDjfFHzqRRHATAu2hWuTnxEhzgh1N8RAFAukePqHf176UOGDMGCBQsQFhYGkUiEwMBALF3aMkomFAr1ztNaUEAnxAiXL19GeXk5HnvsMZW0LL1nJav2NvjOzhrPq1uj/v37AwBOnz5tdF7a2vbz/+TolRfDU90mcuRpPK9ujYxp2/DwcERHR2PFihXYsGEDJ/WpKy4G/u59O/l3Ar9VIHTu2oX9u/bGDb3zvlXWBEXn29dDAEeHlhcwoIOA/buo1LBhdwW5XI4///wTW7a0jJK1Du62hq5DJ8QIt27dAgD4+/urpHlmnzEqb1sK5Aru7u4QiURsuxhDW9teqOxmVN62FMgVjGlbNzc3HD58GGPGjMHKlSvBMAxWrlxpVH2klZXs3wIXF6U0vnPLNf7Sqkroq7q+5ceti1D515io1ePqOsMnsA0ePBjZ2dnsYwcHB2zatAlLliwxOE9Ls6mALpVKIZUa94vMkDJb//8wlP0wPmdDyywrKwMAdOjQgbuK8HiIStutZrOabqaWtMLCQotM6vL29oZY3DK8bWi9TdG2PAAfqgnmttq2ABAcHIzi4mK98lm1ahWioqIQGxvLbqu+fBnXN6rvvbc9FdTnvffb7MFofMgDDwV3G/HxEfWX3LU9FbJmsvLrrRKylfLmTlNTE5YuXQqpVIq33nqLw5zNx6YC+rFjx+DS5pegOXhcuojsSxfNXi4A3Az+f/js+8sWKLkLMjIyLFBuM0uUXVtb2/5ObTj/3ROpq6vjpA6hq1bDo0cPtWmJiYkq29LS0lBRUYGEhASVNGPOOxujrq5O6XNqaL25btvXR7sitLP61eFstW0BYPLkySpBXpP8/Hzk5eXBx8cHISEhRtXF0dOT/VvW5rMja7WcsYOn9isR1HEXtYTqugblkF4nbXns7mx4SD9z5gxkMhn++usv7Nq1i30PrF69GnPnzoWfn5/BeVuKTQX0UaNGwcND/zeHMaRSKbIvXURIaCgEfPNOOZDJ5TgnA0JDQsAXCNo/gCNymQw3bt7EyJEj4ejoaLZygeb2zsjIsEjZih6hPhQf+vLyck7qcGPduwDUD7erW1glKysLRUVFGhddMTe5XI7KykqEh4ez2wytN9dtu+1IDYAatcPtttq2APDee+/pdPypU6cQGxsLX19fZGZmomfPnkrp7r17q7zvFD1zde9HB1dX8AQCMDIZGu7dg7yxkT2PXt/qtIBLSCg6dxaqtLuiZ67u9XBx4kHAB2RyQFwtg7SJYc+j333Qcg16kJ9x3xECgQCBgYFYs2YNtmzZgsrKSkilUty8eZMCuqk5Ojqa/UteQcDnmzWosmQAXyAw+48JwLLtbYmyDSkvPDwcfD4fBQUFnNYlL342Qj7cCk8uh/LNoKCgAHK5HP369TM6L1O17eJUMZImOKKDl2f7O1sRY9o2NzcXo0ePhkgkQmZmJiIiIoyuj8DFBZ79B6Ai+wwYqRR3vv0WncaPR/WFC5BcvQoAEPr6wqNvX73zdhbyERkkxNnCRkhlwA+/12D0oy64cluKG/eaA7q3Gx89A/T/zCYkJGDo0KGIjo5GQEAAysvLsWvXLlT+PSdAIBCgWzfj5mhYik0FdEKsjZeXFyIiIpCbmwuGYZTOt1YOGmzUxLibCYsB2NbkOMUko5iYGKPz0ta2/TwLjZoYl3RACkBsU5PjjGnb7t27IyYmBhs2bODkx5ZCl+nTUXvjOhrFYpQeO4rSY0fZNJ5QiEdeng+egR2h8QPdUFRagXKJHD9fqsfPl+rZNEcBMGOoOwR8/YfcDx48iK1bt2pMX7FiBTp27GhQnS2NLlsjxEjjx49HZWUlcnKUL6UavmgRJ/nnxc9GY319+ztagYyMDAgEAowdO5aT/DS17byJAzjJf3GqGPUN5p+AaQhj2tbT0xPp6emcBnMAcPTyQo/EJPg+8wyEvr7gCQRwcHeHV/8B6PnOGrj36mVw3p4ufCwd64WhvUXwduNDwAdcnXiIDBJiyVgvhHUybARv4cKFGD58ODp37gyhUAihUIiuXbtiwoQJSE9Px9q1aw2us6VRD50QI82bNw9r167F3r171a43zoWLC+ZrnP1uLWpra3Hw4EGMGzcOAQEBnORpjrZ9e1/zUKs199ZN0ba60GV0yNHDA11nzQZm6Xe/AV3a292Zj8mD3TB5sF5Za7V8+XIsX27YjZKsHfXQCTFSYGAgpkyZgn379qGmpkYpjdPhcjU3jVBM3LIG+/fvh0Qi0ek6Xl3rra1tTR2AbbVtycOLAjohHFi3bh0kEgm2b9+ukubxxhuclGHN59Kbmpqwfv16xMXFYdiwYZzmra1t5w2p5qQMa+6dm7JtiX2hgE4IB7p164bdu3fD1dVVJS00IhLeQ4calb81B3OgeVW3mTNnKi2hyRVtbduvVzcMCjNu7W1rDuaAaduW2Bc6h04IR6ZOnaoxLWjey3B/diyKl7+td77WHsyB5tXKTHm9tra2nT7UAyN6VWBDuv73yLb2YA6Yvm2J/aAeOiFm4t25c3Nw1rLMaGuPjIuziWBuDTr5eWHrXF+dlwJ9OszNJoI5IfqgHjohZtZ6pnr+olcgazXZy6lzZ/TZ+E9LVMsutF6nfcU+MWobWtI6egqwaqJtLdRDiD4ooBNiQRGffGryMgImWP991E1hw3TT98BjH3MzeRmE6IqG3AkhhBA7QAGdEEIIsQMU0AkhhBA7QAGdEEIIsQMU0AkhhBA7QAGdEEIIsQMU0AkhhBA7QNehE2JB5xcuhLyuln0s9PdH+KbNnJZx+KyE0/xas+brsJd/VYa6xpY71Pl58LF6kjenZdw58B9O82vtYV0/gBiOAjohZpY3J17trVABoPHePeTFN99X2mPECITGzzFjzWxfQqoY6lsWKK2SY3GqGAAwuI8rXhjkbL6KEWIGNOROCAfkcjkiIyMxZswYjfuU3bnTHKw1BPO2qo4fZ4O7tbt+/TocHBzwySefcJ63Lm179/4DLNYSzNs6c6mGDe7WzpRtS+wLBXRCOJCWlob8/HyNd8Uq2vkZSlYsNyhvWwjqYWFhmDFjBpKSklBVVcVp3u217d6TVdj4o8ygvG0hqJuybYl9oYBOiJFkMhmSk5MRExODgQMHqqRfP3cOD06d0ppH1O497D91bCGoL1u2DKWlpdi2bRtnebbXtvmXbyLnRqPWPLbO9WX/qWMLQd0UbcsVaVUVbu39EhffWIpzL72IC6/+A4Uff4S6khKj866uk+O7MxIkf1uOpbvFWPV1GVJPVOF2uf63ylU4e/YsJk6ciLCwMHh6esLBwQE+Pj6IiYlBSkoKGB1H0KwRBXRCjHTo0CGUlJRg1qxZatOrP9ii9XiPJUt1KkddUB8+fDiCg4N1Ot7U+vbti8jISKSkpEAul2vdV9d6t9e2u854aD3+pcG6TQhUF9RttW3NSVpRgWvJSSjNyECjWAymqQlN1dWoyMnB1bX/h+orVwzOu7JWji3pFTh5uR7lEjlkckBSz+BcUSM+SK/A9b+kBuV76dIlHDhwADdu3EBVVRVkMhnKy8tx8uRJzJ8/H2+++abBdbY0CuiEGCktLQ08Hg+TJk1SSdOlZ13VTsBX8HtuvL5VM7spU6agpKQEmZmZnOSnrW116VnvOqPbLPxnHnXSu27mZmzblhjQY86Ln631PXxr31doFDe/Dn6j/h/6bf8EQQtfAXg8MI2NKEnZCUam/nTI4lSx1tfwwG8SlEuaf7zE9BFh/XRvzI5xB48HSGXAV79UQybXvzcdGhqKHTt2oKCgAHV1dbh16xbi4+PZ9F27dumdp7WggE6IERiGQVZWFnr16gUvLy+D82n+4ozX+OUZtXsPuky0/suYhgwZAgA4fvy40Xlx1baLU8VI+EJz8Ng61xfjotwNzt9cjGnb7Oxs9O7dGxs3buSsPk01NajIzQUA8BwdEfD883Bwc4P3kCFw69kLANAoFqPqjz/0zru2QY7zRc2nUhwFwLhoV7g68REd4oRQf0cAQLlEjqt39O+lDxkyBAsWLEBYWBhEIhECAwOxdGnLKJlQKNQ7T2tBAZ0QI1y+fBnl5eV47LHHVNKy9J6VrNrb4Ds7azyvbo369+8PADh9+rTReWlr28//k6NXXgxPdZvIkafxvLo1MqZtw8PDER0djRUrVmDDhg2c1KeuuBj4u/ft5N8J/FaB0LlrF/bv2hs39M77VlkTFJ1vXw8BHB1aXsCADgL276JSw4bdFeRyOf78809s2dIyStY6uNsaug6dECPcunULAODv76+S5pl9xqi8bSmQK7i7u0MkErHtYgxtbXuhsptRedtSIFcwpm3d3Nxw+PBhjBkzBitXrgTDMFi5cqVR9ZFWVrJ/C1xclNL4zi3X+EurKqGv6vqWH7cuQuVfY6JWj6vrDJ/ANnjwYGRnZ7OPHRwcsGnTJixZssTgPC3NpgK6VCqFVGrcLzJDygQAmQUmoijKlGs4B2UqivLM3daty7Rk2fooKysDAHTo0IG7ivB4iErbrWazmm6mlrTCwkKLTOry9vaGWNwyvG1ovU3RtjwAH6oJ5rbatgAQHByM4uJivfJZtWoVoqKiEBsby26rvnwZ1zeq7723PRXU57332+zBaHzIAw8Fdxvx8RH1l9y1PRWyZrLy660SspXy5k5TUxOWLl0KqVSKt956i8OczcemAvqxY8fg0uaXoFn0Ccc585cKAAjBLTB/3YJ5QzoQ4gJkZBjfyzJURkaG2cusra1tf6c2nP/uidTV1XFSh9BVq+HRo4fatMTERJVtaWlpqKioQEJCgkqaMeedjVFXV6f0OTW03ly37eujXRHaWf3qcLbatgAwefJklSCvSX5+PvLy8uDj44OQkBCj6uLo6cn+LWvz2ZG1Ws7YwVP7lQjquItaQnVdg3JIr5O2PHZ3NjyknzlzBjKZDH/99Rd27drFvgdWr16NuXPnws/Pz+C8LcWmAvqoUaPg4aH/m8MYUqkUGRkZGDlyJBwdHR+Ksh/G5wy09Lb1ofjQl5eXc1KHG+veBaB+uF3dwipZWVkoKirSuOiKucnlclRWViI8PJzdZmi9uW7bbUdqANSoHW631bYFgPfee0+n40+dOoXY2Fj4+voiMzMTPXv2VEp3791b5X2n6Jmrez86uLqCJxCAkcnQcO8e5I2N7Hn0+lanBVxCQtG5s1Cl3RU9c3Wvh4sTDwI+IJMD4moZpE0Mex797oOWa9CD/Iz7jhAIBAgMDMSaNWuwZcsWVFZWQiqV4ubNmxTQTc3R0dHsX/IPc9kP23M2pLzw8HDw+XwUFBRwWpe8+NkI+XArPLkcyjeDgoICyOVy9OvXz+i8TNW2i1PFSJrgiA5enu3vbEWMadvc3FyMHj0aIpEImZmZiIiIMLo+AhcXePYfgIrsM2CkUtz59lt0Gj8e1RcuQHL1KgBA6OsLj7599c7bWchHZJAQZwsbIZUBP/xeg9GPuuDKbSlu3GsO6N5ufPQM0P8zm5CQgKFDhyI6OhoBAQEoLy/Hrl27UPn3nACBQIBu3Yybo2EpNhXQCbE2Xl5eiIiIQG5uLhiGUTrfWjlosFET424mLAZgW5PjFJOMYmJijM5LW9v28yw0amJc0gEpALFNTY4zpm27d++OmJgYbNiwgZMfWwpdpk9H7Y3raBSLUXrsKEqPHWXTeEIhHnl5PngCgZYcNBs/0A1FpRUol8jx86V6/Hypnk1zFAAzhrpDwNd/yP3gwYPYunWrxvQVK1agY8eOBtXZ0uiyNUKMNH78eFRWViInR/lSquGLFnGSf178bDTW17e/oxXIyMiAQCDA2LFjOclPU9vOmziAk/wXp4pR32D+CZiGMKZtPT09kZ6ezmkwBwBHLy/0SEyC7zPPQOjrC55AAAd3d3j1H4Ce76yBe69eBuft6cLH0rFeGNpbBG83PgR8wNWJh8ggIZaM9UJYJ8NG8BYuXIjhw4ejc+fOEAqFEAqF6Nq1KyZMmID09HSsXbvW4DpbGvXQCTHSvHnzsHbtWuzdu1fteuNcuLhgvsbZ79aitrYWBw8exLhx4xAQEMBJnuZo27f3NQ+1WnNv3RRtqwtdRoccPTzQddZsYJZ+9xvQpb3dnfmYPNgNkwfrlbVWy5cvx/Llht0oydpRD50QIwUGBmLKlCnYt28fampqlNI4HS5Xc9MIxcQta7B//35IJBKdruPVtd7a2tbUAdhW25Y8vCigE8KBdevWQSKRYPv27SppHm+8wUkZ1nwuvampCevXr0dcXByGDRvGad7a2nbekGpOyrDm3rkp25bYFwrohHCgW7du2L17N1xdXVXSQiMi4T10qFH5W3MwB5pXdZs5c6bSEppc0da2/Xp1w6Aw49betuZgDpi2bYl9oXPohHBk6tSpGtOC5r0M92fHonj523rna+3BHGhercyU12tra9vpQz0wolcFNqTrf49saw/mgOnbltgP6qETYibenTs3B2cty4y29si4OJsI5tagk58Xts711Xkp0KfD3GwimBOiD+qhE2JmrWeq5y96BbJWk72cOndGn43/tES17ELrddpX7BOjtqElraOnAKsm2tZCPYTogwI6IRYU8cmnJi8j9jE3k5dhjTZMN30PPGCC9d+jnjw8aMidEEIIsQMU0AkhhBA7QAGdEEIIsQMU0AkhhBA7QAGdEEIIsQMU0AkhhBA7QAGdEEIIsQMU0AkhhBA7QAGdEEIIsQMU0AkhhBA7QAGdEEIIsQMU0AkhhBA7QAGdEEIIsQMU0AkhhBA7QAGdEEIIsQMU0AkhhBA7QAGdEEIIsQMOlq6ALhiGAQBUVVWZvWypVIra2lpUVVXB0dHxoSj7YXzOAFBdXQ2g5f1GCCG2xCYCuuKLtmvXrhauCXkYVFdXw9PT09LVIIQQvfAYG+iOyOVy3LlzB+7u7uDxeJauDrFTDMOguroaAQEB4PPpbBQhxLbYREAnhBBCiHbUDSGEEELsAAV0QgghxA5QQCeEEELsAAV0QgghxA5QQCeEEELsAAV0QgghxA5QQCeEEELsAAV0QgghxA5QQCeEEELsAAV0QgghxA5QQCeEEELsAAV0QgghxA5QQCeEEELsAAV0QgghxA5QQCeEEELsAAV0QgghxA5QQCeEEELsAAV0QgghxA5QQCeEEELswP8HBqvbgt4dZVwAAAAASUVORK5CYII=" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 3 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 1 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 1 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 0, 4 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 0, 2 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 0, 2 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 0, 2 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 3 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 0, 4 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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klrdqu7/p06czZWVlzG+//cYmd6FQyMhkMnb9tpdLtjdhwgS2Pjdu3GDEYjFz+/Zt5vjx40xiYqKBWpEYQmlpqdxn4/fff1e7/pIlS9h1x4wZw9y5c4e5e/cu88wzz7DLlyxZwq6va0IHwLzxxhtMZWUlc/ToUbkfDG2pis8w+v2NPPXUU8yNGzeYuro65sqVK9o1atv66bwlIcQsaZrQ6+rq2N5SZGQkwzAMk5WVxa734osvsjH9/f3VxgTAjB8/nl2/dRmfz2cqKyvZ5QMGDGDL7t+/zy5Xl9CXLVvGAGB4PB4zY8YM5v3332eOHTvGPHjwgOumIwb24MEDuc/MxYsX1a7f9nOXk5PDLs/OzmaXd+3alV2ua0L38fFh7zrJMAzj5eXFAGDs7e3l4qhL6Lr+jQBgSkpKOmo6jRhk6leuyWQy3Lt3Dy4uLnR3KmIwDMOgtrYWfn5+nF/DbyoJCQkq54p3dHTEzJkzsXv3buTm5iInJweff/45W75o0SL2cds57VUpLy9XWNa5c2e5OfDbXobU2NioyUvAunXrkJ+fjxMnTuDQoUPsrJJ8Ph/Tpk3D559/rjANMTFP3t7ecHV1Zc99X7lyBdHR0SrXb/u5a3sjqbbnrZV9Npl2V0o0NzerrVdoaCh710mg5XNaUVGh1U3CdP0b8fHxQUBAgMb7UcciEvq9e/c4e8GEdOT27dvo2rWrqathFC+99BJ2794NAEhKSsKXX34JAOjfvz8GDBjArufr64u7d++Cx+Ph7t276NKli0Ks9l+igGY3/1G3HGi55vfYsWOoqqrC5cuXUVhYiEOHDuHkyZP48ssvERcXh+nTp3f8YonJ8fl8TJgwAV988QWAlsGOL7zwgtIfZM3NzeznDmgZiNZ6r4e2l4z5+vqyj+3t7dHU1CQ3Ulwmk+HWrVtq66Xp51QdXf9GVN3cSRcWkdBdXFwAAIWFhexjY5FIJDh9+jSeeuopnWafs8R9P46vGWi5hW7Pnj2N/hkzpX79+mHgwIHIysrCzp072Z7MSy+9JLfepEmT8PHHH4NhGCQkJGD79u3o0aMHKioq8J///AefffYZZsyYgTlz5uhUDy8vL/ZL+tKlS3LXH+/duxdAy/3l+/XrhwEDBqCoqAgnT54EAJSUlOi0T2Ia69atw/fffw+RSITc3FxMnDgRGzZsQJ8+fSASifCf//wHH330ET744APExcWxPzjffPNN7Nu3DzweD2+++SYbLy4ujn0cFBSE69evo7y8HBcuXMCQIUPw4YcfanTLbk14eXmhoqIC5eXluHv3rtz9Qwz9N6IRTg7cG1h1dTUDgKmurjb6vsViMXP06FFGLBY/Nvt+HF8zwzBMeXm5yT5nXOroHDogf4+APXv2yJU5OzszNTU1cjErKiqY8PBwtTHb3n+hdZkm5zIZhmFeffVVhXito30XLFigcp82NjZMdnY2tw1IDO7UqVOMt7e32s9TdnY2U1payoSGhqpcJzQ0lCkrK2Pjbtq0iS3j8XiMs7MzA7SMJG//uWt7Dr39yHJVYzpaB2i2/dc6JoWrvxF9WMeJQkKIzl544QW5oxLTp09XOErh6emJjIwMbNiwAdHR0XBycmLv2zB69Gi8//77et2XIDExETNnzoSvr6/C4c7JkycjPj4eISEhcHFxgUAggLe3N2JjY/HLL7+Y3WxipGNPPfUU8vLysGHDBgwZMgTu7u6wtbWFv78/nnrqKWzfvh2hoaHw8fFBZmYmVq9ejT59+kAoFMLe3h69e/fGqlWrkJmZCW9vbzbuihUrsHr1agQGBsLOzg69evXC0aNHMWjQIE7q/c9//hMTJkyAl5eXQpmh/0Y0YRFTv9bU1MDNzQ3V1dVwdXU16r4lEgmOHz+OcePGmeTwsyn2/Ti+ZqBlbmlvb2+TfM4IIURf1EMnhBBCrAAldEIIIcQKUEInhBBCrAAldEIIIcQKUEInhBBCrAAldEIIIcQKUEInhBBCrAAldEIIIcQKUEInhBBCrAAldEIIIcQKUEInhBBCrAAldEIIIcQKUEInhBBCrAAldEIIIcQK2Ji6AoQ8znJefhmyhnr2uZ2vL8Lf3WaSuqz8ogIN4kd3U/Zx5WPtFE9O93Hvu285jdeW36TJBotNiCWghE6IkWXPTQAYRmmZ+MEDZCfMAQC4jhqFkIS5Bq3LsqRyKK8JUFYjw9KkcgDA0D5OeGGIg0HrQgjRDx1yJ8RIKu7da0nWKpJ5ezWnTrHJnWv3Sx9iqZpk3t6Fq3VscieEmCdK6IRwQCaTISoqCuPGjVNaXrTnU5SsWqlTbK6T+sGzNdj6o1Snbc09qRcUFMDGxga7du0ydVUIMTo65E4IB5KTk5Gbm4u9e/cqlBVcuoTac+fUbh+dcoB9rCyBZyfMkVtHV7l5t5B501XtOtvnebOPlSXwpUnlcuuYkx49emDmzJlITEzErFmz4Oqq/rUaU/WlS6jKykR9YSEkVVWQNTXB1sMDjt2D0XnCBDgEBOgcW9Qow8859Sgua8bdymZI/vq9NriHPWYOd+HoFVgXkUiErVu34siRIyguLoajoyOGDh2KVatWYfjw4aaunk6oh06InqRSKdavX4+YmBgMHjxYobz2ww/Ubu+6/HWN9qMs0Y8cORJBQUEabQ8A+y6oT3ALhoo0iqMs0WtbF0NZsWIFysrKsGPHDlNXRU7ZL6mo/PVXNN65A6lIBEYigbi0FFUZF3Bt3duozsnROXZVnQxnrjaiqOxRMieq1dXVYcSIEdi0aRNu3LiBpqYmPHz4ECdOnMDIkSNx+PBhU1dRJ5TQCdHT8ePHUVJSgtmzZyuUaXK4vKaDhN/K57mJ2lZNjiaHy/ddcNYo1jP97PWqiyFFREQgKioKe/fuhUwm0zlOSUmJVutnJ8xR+37zBAJ4jhiB0LVvIWrvZ+j9zrtwDgtrKZRKcf9fR1RuuzSpXO3752DHQ0wfIWaPcMaYSBq82JENGzYgOzsbABAfH4/S0lL88ssvcHR0hEwmw6JFi1BZWWniWmqPEjohekpOTgaPx8OUKVN0jtGSDBJUJoTolAPoOtk4l2UtTSrHsv2qE8j2ed6YEG3eh3Hj4+NRUlKCtLQ0nbbPyMhA7969sXXrVs7qFPTyYgQuWAjn0FDw7ewg7NwZftNfYMsb79/XObaXiwCThzhjYIgQbk70ta4OwzDYv38/+/zdd9+Fj48Pnn76acTHxwMAampq8NVXX5mqijqjd54QPTAMg/T0dPTq1Qvu7u5yZelaD8xSHHPOd3Dg5Nz5Z99malcTnuIyoS3PbM+dtzds2DAAwKlTp3TaPjw8HAMGDMCqVauwZcsWTuokcFDsOcvEYvaxnSe31/wT5QoLC1FWVgYAcHFxQWBgIFvWt29f9vGFCxeMXjd90aA4QvSQl5eHyspKxMbGKpS5Zej3hcBFIm91ubq7XttbSiJvNXDgQADA+fPnddre2dkZJ06cwLhx47B69WowDIPVq1dzWUXIJBLcP/I1+9z7mdGcxifKPXjwgH3c/ke4m5ub0vUsBSV0QvRw584dAICvry93QXk8RCenKFmspNuspqywsFDvQWo8AB8pSeamqIs2XFxcIBQK2fenraCgIBQXF2sVb82aNYiOjmZ/uNXm5aFgq/Kee/vTJn3eex/2Pj5yy6QNDbi1YzvqCgoAAB5/ewI+o1sSev59MT7+qUZp7PanQd6e6gEvF4FWr4U8wrSbE6Ltc3WfcXNlUQldIpFAIpEYfZ9t/38c9v04vmZd91lRUQEA8PDw4KQOIWvWwrVnT6Vl69atU1iWnJyMqqoqLFu2TKGsfe9DW6+NdUJIF+UDrIxdF114enqivFxxHMDUqVOVLlcmNzcX2dnZ8PLyQnBwMCf1kjx8iIL330Pj7dsAAO+nRqHrnDkWmUAsUdsf31VVVXJl1dXVStezFBaT0IfE/S/2/ZgPW1tbjdZvbpbgT2kQmhnlL9FbkgNnF3eNYgU7AqmpqZpWlXOm2vfj9prr6+s7Xqkdh7/OizY0NHBSh5ubNgJQfrg9MTFRYVl6ejqKioqUlulrx091AOqUHm43dl100dDQAEdHR4Xl7733nkbbnzt3DrGxsfD29kZaWhrCWkekA3Dp3VvhPWrtmas7VdJw5w5uvv8eJJWVAI+HLlOmovOECXLrhHaxU2jz1p65pZ36MEfBwcHo1KkTSktLIRKJUFxczJ5Hv3z5MrvekCFDTFVFnVlMQgeAkJAQ2Nurv1zmTJ4Y4uaOY5XbRqG8seXxMxG2Kn8dy6RSMH/ewejRozX+McEViUSC1NRUo+/bVPs19b5be9va8PnrUCrXl7hkJ8xB8Efb4cZRz18fS5PKkTjJFh7ubh2vbCZkMhmqq6sRHh6u0/ZZWVkYO3YshEIh0tLSEBkZqXedaq9dQ+H2jyCtrwfPxgbdFr4Iz78G7+lLxjCob2o5XCxufnTYuFnKQNTYcume0JYHGwEdBQCA+fPns1cw/OMf/8DOnTuRk5ODI0daLh10dXXFtGnTTFlFnVhUQhfw+RDwlQ/M/y2/CdX1ms5MLe+XP1oOtY6NEiotlwKwtbU1eoJpZap9P26vWZf9hYeHg8/nIz8/X6GseshQvQbG3Vq2FAA3g+P6uhXqNTAu8TsJAPOdIa69/Px8yGQyuVHL2ggNDUVMTAy2bNmic4z2/vzuW0j/OgrENDej+JPdKP5kt9w6ys63a+KhSIb/+9dDheUXC8W4WNjyY3PGk84YEqr8O+5xs3btWpw8eRLZ2dn4+uuv8fXXjwYn8vl8fPrpp/C0wKsOrOKytZ9yGnVO5u3jNIqNf+6WWC53d3dERkYiKytLYYDNyCVLONlHdsIciBsb9YqxcPIgTuqyNKkcjU3m/zeSkZEBAIiJidFpezc3Nxw7doyzZE7Mi5OTE86cOYM1a9YgNDQUdnZ2cHd3x9ixY3H69GlMnz7d1FXUiUX10JX5KUe/L7r20vOkCHIuRa8Qf07jEus1ceJEJCYmIjMzU+nUr1y4sugllaPfje3NQy0Dh8y5t56amgqBQIDx48cbbZ8dHUkJXaX7ZW8dtbWXi8Cs3w9z5OLigo0bN2Ljxo2mrgpnLLqHrk0yHxslZP/9T6T68/BFIi/UirgZ5ESs38KFCyEQCHDw4EGFMi6vJVd229XWgWiaMPQXvjZ1MaT6+nocPXoUEyZMgJ+fn6mrQ4jRWGxC1yaZ+7rKv0wejwd+B3eCPneTBo8Qzfj7+yM+Ph6HDh1CXV2dQrnrG29wsh8ufhwsHFbLQU3Mu3d++PBhiEQiLF++3NRVIcSoLDKhZ17XbkSxB++ewrLBoXYdbnf6KreH84n12rRpE0QiEXbu3KlQFhIZBU89b8fIVU+/b6/uGNKj48++OuaczJubm7F582bExcVhxIgRpq4OIUZlkQm9olHx2lJ1rlV3Vlh2Ib/jgT1P9aERoUQz3bt3R0pKCpycnJSWBy58EYFb39EpNqeH7QHMGO6KVeN1Gz5jzskcaJm5b9asWfjgA83uYEeINbG4QXFX7+g2wvZ8fiP+9tclG+eud9zzVnUJGyGqdHTdqmeXLvBMOYDsuQlKz4e3121CHLymTuWqenI6+7hj+zxgWVJ5ByefWjzdwxlxw83/byIoKMhsJrYhxNgsLqGXVEh12q6mXrPz7m6OPAwLNd97PRPL13akeu6SxZC2Oe9u36UL+ujYk9dF23naVx0qR33To7JObgKsmWz6iW0IIZqxuIRuSNQrJ8YWuWt3xysZyZYZhj+c7jfJOPd0J+RxZFHn0G+WlBkkLh+UzAkhhFg2i+qh3xdz34MYHWELgYBuP0gIIcSyWVRCl2hw0xVtUK+cEEKItbCohM6Vrp4CRASY5qYjhBBCiCFY1Dl0rtyplHI+BzwhhBBiShaV0O04Pp7wU04jrlz5g9ughBBCiAlYVELvYl/OeczbzT2ot04IIcTiWdQ59OAAHxRf0/++58r8lNOIXp0aEdTF3SDxCVEm5+WXIWuoZ5/b+foi/N1tJqnLyi8q0CB+9Pfl48rH2imenO7jxEURp/Haiu3vbLDYhFgCi0rohnatVIhrpY00+p0YlLqpX8UPHiA7YQ4AwHXUKIQkzDVoXdRN/VpWI8PSpJajYkP7OOGFIQ4GrQshRD8WdcgdALp5G/6a8Z9yGnHzZr7B90MeLxX37rUkaw3mcQeAmlOn2OTOtfulD7FUw3ncAeDC1To2uRNCzJPFJfQ+/sa53CxfFICz1+jcOtGMTCZDVFQUxo0bp7S8aM+nKFm1UqfYXCf1g2drsPVH3e6JYO5JvaCgADY2Nti1a5epq0KI0VnkIXdvYT3KtbyFqi7a3qiCEHWSk5ORm5uLvXv3KpQVXLqE2nPn1G7f9hapyhJ4dsIcTm6jmpt3C5k3XdWu0/YWqcoS+NKkcrO9jWqPHj0wc+ZMJCYmYtasWXB1Vf9ajUlSU4MHP/wb9bduob64GIyk5c6Rnk8+icAXX9Ir9pXbYuQUN6GkrBk1DTI0NTNwd+Sjm7cNRkc6ws/TIr/qDUokEmHr1q04cuQIiouL4ejoiKFDh2LVqlUYPny4qaunE4vroQPAwDBuB+qoQufSiSakUinWr1+PmJgYDB48WKG89kP19+Z2Xf66RvtRluhHjhyJoKAgjbYHgH0X1Ce4BUM1G7SmLNFrWxdDWbFiBcrKyrBjxw5TV0WO5OFDlP38M+oKCthkzpWzeQ3IyG/C/Sop6poYNEuB8loZLhaKse3fVbh6R8zp/ixdXV0dRowYgU2bNuHGjRtoamrCw4cPceLECYwcORKHDx82dRV1YpEJHTB8sn2ih2FG0xPrc/z4cZSUlGD27NkKZZocLq/pIOG38nluorZVk6PJ4fJ9FzQbKf5MP/O9xXBERASioqKwd+9eyGQyneOUlJRotX52why177fA0RE+Y8Yg8OWX4TshTqvYS5PK1b5/Aj4wJNQey8a5YdtsL6yZ7IEQ35ZeuYwBjv1ep3Lbx9GGDRuQnZ0NAIiPj0dpaSl++eUXODo6QiaTYdGiRaisrDRxLbVnsQkdMFxSD3KugIsTjeglmklOTgaPx8OUKVN0jtGSDBJUJoTolAPoOtk4tx5dmlSOZftVJ5Dt87wxIdrFKHXRVXx8PEpKSpCWlqbT9hkZGejduze2bt3KWZ3sfXzQdeYseA77G+w8uT3KOGeEC2Y86YLuvraws+Ghk5sAzw1yYssfVOs2ZsIaMQyD/fv3s8/fffdd+Pj44Omnn0Z8fDwAoKamBl999ZWpqqgzi07oAPdJ/aneAvQK8ec0JrFeDMMgPT0dvXr1gru7u1xZutYDsxSPCvEdHDg5d/7Zt5na1YSnuExoyzPbc+ftDRs2DABw6tQpnbYPDw/HgAEDsGrVKmzZsoXLqhmE0E7xq1zSJod7OFn8Vz1nCgsLUVbWcituFxcXBAYGsmV9+/ZlH1+4cMHoddOXVYyUGBslREZBEx7W6XeYnM6ZE23l5eWhsrISsbGxCmVuGfp9IXCRyFtdru6u1/aWkshbDRw4EABw/vx5nbZ3dnbGiRMnMG7cOKxevRoMw2D16tVcVtGgmqUMfsh6dJh9eG864tjqwYMH7OP2P8Ld3NyUrmcprCKhA8CQHi3n9E5faUSTlrdZ/Z9Ie/B4SrokhHTgzp07AABfX1/ugvJ4iE5OUbJY9WdUWVlhYaHeg9R4AD5SksxNURdtuLi4QCgUsu9PW0FBQSguLtYq3po1axAdHc3+cKvNy0PBVuU99/anTfq89z7sfXw03lf+fTE+/qlGaVn70yBvT/WAl4v83ByNYhn2napFUVnLF+GgEHuM6E2dFWWYdnNCtH1uiTnBohK6VCaDtINBLiN62wEAmiViXLgFNKgY3Dmkmwiubi3nsWQMo3KyD5m05biVhONRqZpo3aex922q/ZrLvrVRUVEBAPDw8OCkDiFr1sK1Z0+lZevWrVNYlpycjKqqKixbtkyhrH3vQ1uvjXVCSBflPTtj10UXnp6eKC9XHAcwdepUpcuVyc3NRXZ2Nry8vBAcHMx1FTlXXS/FJz/X4N7Dlu+tJ8KEmDrMySKTk6G0/fFdVVUlV1ZdXa10PUthMQk949/vQTy9P2wcNbv+nAdgmLoBuyJAqsW00qmpqZqvzDFT7ftxe8319fUdr9SOg0NLwmtoaOCkDjc3bQSg/HB7YmKiwrL09HQUFRUpLdPXjp/qANQpPdxu7LrooqGhAY5Kvi/ee+89jbY/d+4cYmNj4e3tjbS0NISFhbFlLr17K7xHrT1zfU+VhHaxU2jz1p65ulMf9x8245PUGlTVycAD8OwAR4yONPx8HZYmODgYnTp1QmlpKUQiEYqLi9nz6JcvX2bXGzJkiKmqqDOLSegAMGbMGKNPFCGRSJCamorRo0fD1tY4s9SZet+P42sGHvW2teHz16FUri9xyU6Yg+CPtsONo56/PpYmlSNxki083N06XtlMyGQyVFdXIzw8XKfts7KyMHbsWAiFQqSlpSEyMlLvOjEyGaR1Lee1pU2PZq2SSZrRXFsLAOALheDr8Lkv+FOCz9Jq0CBmIOADM4e7YECw+V5aaGrz589nr2D4xz/+gZ07dyInJwdHjhwBALi6umLatGmmrKJOLCqh29raGv1L/nHe9+P2mnXZX3h4OPh8PvLzFef+rx4yVK+BcbeWLQXAzeC4vm6Feg2MS/xOAsB8Z4hrLz8/HzKZTG7UsjZCQ0MRExODLVu26ByjPXFFBa7+7xsKy6syLqDqr89Jt4UvwkuHWcpOZNexd8qTyoADZ2px4Eyt3DrKzrc/rtauXYuTJ08iOzsbX3/9Nb7++mu2jM/n49NPP4Unx5cWGgNdy0CIHtzd3REZGYmsrCyFATYjlyzhZB/ZCXMgbtTvvgILJw/ipC5Lk8rR2GT88Q3aysjIAADExMTotL2bmxuOHTvGWTIn5sXJyQlnzpzBmjVrEBoaCjs7O7i7u2Ps2LE4ffo0pk+fbuoq6sSieuiEmKOJEyciMTERmZmZSqd+5cKVRS+pHP1ubG8eahk4ZM699dTUVAgEAowfP95o++zoSIq9j4/OR1s6autXY911ivs4c3FxwcaNG7Fx40ZTV4Uz1EMnRE8LFy6EQCDAwYMHFcq4vJZc2ZUYrQPRNGHoBKxNXQypvr4eR48exYQJE+Dn52fq6hBiNJTQCdGTv78/4uPjcejQIdTVKc6Z7fqG4nlTXXDx42DhsNqOV9KAOffODx8+DJFIhOXLl5u6KoQYFSV0QjiwadMmiEQi7Ny5U6EsJDIKnnrejpGrnn7fXt0xpIedXjHMOZk3Nzdj8+bNiIuLw4gRI0xdHUKMihI6IRzo3r07UlJS4OTkpLQ8cOGLCNz6jk6xOT1sD2DGcFesGq/b8BlzTuZAy8x9s2bNwgcfaHYHO0KsCQ2KI4QjHV236tmlCzxTDiB7boLKmQnb6jYhDl5Tp3JVPTmdfdyxfR6wLKlcyS1hFD3dwxlxw81/+tCgoCCzmdiGEGOjhE6IkbUdqZ67ZDE72QgA2Hfpgj469uR10Xae9lWHylH/aL4TdHITYM1k009sQwjRDCV0QkwoctduU1eBtWWG4Q+nx/ZXNx8zIUQfdA6dEEIIsQKU0AkhhBArQAmdEEIIsQKU0AkhhBArQAmdEEIIsQKU0AkhhBArQAmdEEIIsQJ0HTohJpTz8suQNdSzz+18fRH+7jZO93Hvu285jdeW36TJBoutr5VfVKBB/GgePB9XPtZO8eR0HycuijiN1xZds0+0RQmdECNTN/Wr+MEDZCfMAQC4jhqFkIS5RqyZ5VM3lW1ZjQxLk8oBAEP7OOGFIQ7GqxghRkCH3AnhgEwmQ1RUFMaNG6dynYp791qStQbzuANAzalTbHI3dwUFBbCxscGuXbs4j61J294vfYilGs5LDwAXrtaxyd3cGbJtiXWhhE4IB5KTk5Gbm6vyxiBFez5FyaqVOsW2hKTeo0cPzJw5E4mJiaipqeE0dkdte/BsDbb+KNUptiUkdUO2LbEulNAJ0ZNUKsX69esRExODwYMHK5QXXLqEh+fOqY0RnXKA/aeMJST1FStWoKysDDt27OAsZkdtm5t3C5k3xWpjbJ/nzf5TxhKSuiHaliuSmhrcOfg5rrzxOi4tmI/Lr/wdhR//Ew0lJXrHrm2Q4ZsLIqw/UonXU8qx5ssKJJ2uwd3KZr1jX716FXPnzkW3bt1gb28PDw8P9OvXD+vWrdM7tqlQQidET8ePH0dJSQlmz56ttLz2Q/X35nZd/rpG+1GW1EeOHImgoCCNtje0iIgIREVFYe/evZDJZGrX1bTeHbXtvguuardfMFSzQWvKkrqltq0xSaqqcGN9IspSUyEuLwfT3Izm2lpUZWbi+ob/Q+21azrHrq6X4YNjVTib14hKkQxSGSBqZHCpSIwPj1Wh4E+JzrG//fZb9O/fHykpKbh9+zbEYjGqqqqQk5ODL774Que4pkYJnRA9JScng8fjYcqUKQplmvSsazpI+K18npuobdWMLj4+HiUlJUhLS+Mknrq21aRnve+CZiPFn+lnr3XdjE3fti3RocecnTBH7Wf4zqEvIC5veR98xvwP+u7chcCXFwM8HhixGCV794CRKj8dsjSpXO17+N1/RagUtfx4iekjxOYZnpgT4wIeD5BIgS9+rYVUpumoiUcKCwsxe/ZsNDU1wc3NDcnJySgtLUVNTQ0yMzOxfPlyrWOaCxrlTogeGIZBeno6evXqBXd3d53jtHxp8gAVw7pUHYo3N8OGDQMAnDp1CqNHj9YrFldtuzSpHDwGYHjKy1Udijc3+rRtRkYGRo0ahbfeegsrV+o2lqO95ro6VGVlAQB4trbwe/558O3s4DlsGCrS0yG6lgdxeTlq/vgDblFRWsWub5Ihp6jlVIqtAJgwwAm2NjwMCLbH+euNKPhTgkqRDNfvSdCnq51Wsbdv3476+pZLRd977z0kJCSwZQMHDsTAgQO1imdOqIdOiB7y8vJQWVmJ/v37K5Slaz0qWTGZ8x0cLCaZA2C/DM+fP693LHVt+9m3mVrFUpbMhbY8i0nmgH5tGx4ejgEDBmDVqlXYsmULJ/VpKC4G/up92/t2Bt/uUWJ1COjKPq6/eVPr2HcqmtHa+fZ2FcDW5tEb6OchYB8XlWl/2D01NZV9XFBQgD59+kAoFMLf3x9LlixBZWWl1jHNBfXQCdHDnTt3AAC+vr4KZW4ZF/SKbUmJvJWLiwuEQiHbLvpQ17aXq7vrFduSEnkrfdrW2dkZJ06cwLhx47B69WowDIPVq1frVR9JdTX7WODoKFfGd3h0jb+kphraqm189OPW0U7+15iwzfPaBu0PuRcVFbGP33nnHfbxvXv3sHv3bpw5cwaZmZlwbPeaLIFFJXSJRAKJRPeBELrus+3/j8O+H8fXrOs+KyoqAAAeHh7cVYTHQ3RyipLFKo4ZqygrLCw0yaAuT09PlJc/Ojeqa70N0bY8AB8pSeaW2rYAEBQUhOLiYq3irFmzBtHR0YiNjWWX1ebloWCr8t57+/Pofd57v90ajMqnPPCQf1+Mj39Sfsld+/Pob0+Vf78VUrZcbO21/Tvv168ffvjhBwDA+PHjkZOTg6tXr2L//v145ZVXdIhuWhaV0H/++WeT/Wpqe5jGnPfd3NyMbr+kwqa+Xmn5H08/A1c3N873yzVT7LteRZup4/BXT6ShoYGTOoSsWQvXnj2Vlim7nCY5ORlVVVVYtmyZQpk+55310dDQIPd3qmu9uW7b18Y6IaSL8tnhLLVtAWDq1KkKSV6V3NxcZGdnw8vLC8HBwXrVxbbN94i03d+OtM10xjZu6q9EUMZF+ChVNzTJp/QGyaPnLg7ap3QfHx/cu3cPADB37lx07dpyemDevHnse/37779rHdccWFRCHzNmDFxdtf9w6EMikSA1NRWjR4+Gra2t2e47b/lySGs7nnQiIu0X9nH43s+U9j4s5TVzrbVHqA0fHx8A4Oy8281NGwEoP9yubGKV9PR0FBUVqZx0xdhkMhmqq6sRHh7OLtO13ly37Y6f6gDUKT3cbqltC7QM7NLEuXPnEBsbC29vb6SlpSEsLEyu3KV3b4XPXWvPXNnn0cbJCTyBAIxUiqYHDyATi9nz6I1tTgs4BoegSxc7hXZv7Zkrez8c7XkQ8AGpDCivlULSzLDn0e8/fHQNeqCP9t8RgwYNwvfff6+wnGkzg6MlHm4HLCyh29raGv1L3tz3fWPDBtQV5OsU98qLCwGoPldrrq/ZkPvUVnh4OPh8PvLzdXsPVMlOmIPgj7bDjctD+UaQn58PmUyGvn376h3LUG27NKkciZNs4eGu2ZEqc6FP22ZlZWHs2LEQCoVIS0tDZGSk3vURODrCbeAgVGVcACOR4N6RI+g8cSJqL1+G6Pp1AICdtzdcIyK0ju1gx0dUoB0uFoohkQI//F6Hsf0cce2uBDcftCR0T2c+wvy0/5udP38+m9CTk5PZSyJTUh6d5hozZozWcc0BjXK3YNkJc3RO5u3jNNKUkjpxd3dHZGQksrKy5H7hA0D1kKF6xb61bKlFzBDXVkZGBgAgJiZG71jq2ravW6FesRO/k1jEDHFt6dO2oaGhiImJwalTpzhJ5q26zpgBO++WHnbZzydxecliFO3eBTAMeHZ26PbiS+AJBB1EUW7iYGd4OrekqDNXG7HqUCVSztSCYVouZZs53AUCvvaH3OPi4thL1S5duoSAgAAEBATg0qVLAIBJkyYhLi5OpzqbGiV0C8X1F33eq6/g2vHjnMZ8XEycOBHV1dXIzJS/lGrkkiWcxM9OmANxYyMnsQwtNTUVAoEA48eP5ySeqrZdOHkQJ/GXJpWjscn4AzB1oU/burm54dixY5wcOWnL1t0dPdclwvuZZ2Dn7Q2eQAAbFxe4DxyEsLfehkuvXjrHdnPk4/Xx7hjeWwhPZz4EfMDJnoeoQDssH++OHp11P4K3f/9+7Nq1C/3794eDgwMcHBwQHR2N7du348iRI2oHSZozizrkTlpok8zbHk5nGAaX5iaoXLfhq8OoHTAAQk9u7xlt7RYuXIgNGzbg4MGDSucb58KVRS+pHP1uLurr63H06FFMmDABfn5+nMQ0Rtu+eajlsipzvpTNEG2rCU0unbR1dUXA7DnAbO06GZq0t4sDH1OHOmOqfge7FPD5fCxevBiLFy/mNrCJUQ/dwmiTzN0Hyc94xOPxABv1v+EK/rFCp3o9zvz9/REfH49Dhw6hrq5OrozTa8mV3Ha1deCWOTh8+DBEIpFGU2dqWm91bWvoBGypbUseX5TQLciVf2p3pyXx0L8pLOu5Zm2H211bQUldW5s2bYJIJMLOnTsVylzfeIOTfZjzRDPNzc3YvHkz4uLiMGLECE5jq2vbhcNqOdmHOffODdm2xLpQQrcg4r/mTdZUvZIfADf+b32H2/Xatk2r/RCge/fuSElJgZOTk0JZSGQUPIcP1yu+OSdzoGVWt1mzZuGDDzS70Yw21LVt317dMaSHdnN5t2fOyRwwbNsS60Ln0C3E7c91+0K/vj4RYesSAQDX1q5Veti2reiUAyaZpc0aTJs2TWVZ4MIX4fLseBSvfFPruOaezIGW2coMeb22uradMdwVo3pVYcsx7e+Rbe7JHDB82xLrQT10C1H+yy8dr6RE/a1b7C0QG26rvn2iQ/fuFpE4LJlnly4tbazhCNpuE+LoPdFQZx93bJ/nrfFUoE/3cLaIZE6INqiHTihpGFnbkeq5SxZD2mawl32XLuiz9R1lmxENtJ2nfdWhctQ3PSrr5CbAmsmWNVEPIdqghG4BburYO++QjQ2i9+03TGyikchduw2+D79Jkw2+D3O0ZYbhe+Cx/Z0Nvg9CNEUJ3QJIDDDhS+S+/RB0cAkbIYQQy0Hf6BagWYf7Catk5pOTEEII0Q0l9MeI98inEDBvnqmrQQghxABolPtjpDz9tMXd7IMQQohmKKFbAIEbt7d5zE6Yg6yff+Y0JiGEENOihG4B7GPHcR5T8MVBZKu5UQshhBDLQgndAgQ/84xhAjMMshPmoOQ//zFMfEIIIUZDg+IIKvbuQcXePTTBjAnkvPwyZA317HM7X1+Ev8vtXPonLoo4jdeWOV+HvfKLCjSIH0117OPKx9op3N4a+N5333Iar63Hdf4AojtK6BbCZ/QYlKUa9rx3dsIc2P397+gZ3d+g+3ncZc9NUDmnvvjBA3bgouuoUQhJmGvEmlm+ZUnlUHW3grIaGZYmlQMAhvZxwgtDHIxXMUKMgA65W4ius2YZZT/inTuRv3aNUfZlTWQyGaKiojBunOrxDhX37rUk6w5ukNOq5tQpi7kqoaCgADY2Nti1axfnsTVp2/ulD7FUTTJv78LVOja5mztDti2xLpTQLYjdoMFG2U/TgwdG2Y81SU5ORm5ursq7YhXt+RQlq1bqFNsSknqPHj0wc+ZMJCYmoqamhtPYHbXtwbM12PqjVKfYlpDUDdm2xLpQQrcg4a+8YpT9ROz9zCj7sRZSqRTr169HTEwMBg9W/NFVcOkSHp47pzZGdMoB9p8ylpDUV6xYgbKyMuzYsYOzmB21bW7eLWTeFKuNsX2eN/tPGUtI6oZoW65Iampw5+DnuPLG67i0YD4uv/J3FH78TzSUqL67o6ZqG2T45oII649U4vWUcqz5sgJJp2twt1L7W+W2d/XqVcydOxfdunWDvb09PDw80K9fP6xbt07v2KZCCd3CGHrgWg+OB2Q9Do4fP46SkhLMnj1baXnthx+o3d51+esa7UdZUh85ciSCgoI02t7QIiIiEBUVhb1790Imk6ldV9N6d9S2+y64qt1+wVDNBgQqS+qW2rbGJKmqwo31iShLTYW4vBxMczOaa2tRlZmJ6xv+D7XXrukcu7pehg+OVeFsXiMqRTJIZYCokcGlIjE+PFaFgj8lOsf+9ttv0b9/f6SkpOD27dsQi8WoqqpCTk4OvvjiC53jmholdAtkqKTuMG06XHx9DRLbmiUnJ4PH42HKlCkKZZr0rGs6SPitfJ6bqG3VjC4+Ph4lJSVIS0vjJJ66ttWkZ73vgmaj8J/pZ6913YxN37Yt0aHHnJ0wR+1n+M6hLyAub3kffMb8D/ru3IXAlxcDPB4YsRgle/eAkSo/HbI0qVzte/jdf0WoFLX8eInpI8TmGZ6YE+MCHg+QSIEvfq2FVKbpqIlHCgsLMXv2bDQ1NcHNzQ3JyckoLS1FTU0NMjMzsXz5cq1jmgsa5W6holMOcHoYts/OnbB3duEs3uOCYRikp6ejV69ecHd31zlOy3vJA1QM67KUSwqHDRsGADh16hRGjx6tVyyu2nZpUjl4DMDwlJerOhRvbvRp24yMDIwaNQpvvfUWVq7UbSxHe811dajKygIA8Gxt4ff88+Db2cFz2DBUpKdDdC0P4vJy1PzxB9yiorSKXd8kQ05Ry6kUWwEwYYATbG14GBBsj/PXG1HwpwSVIhmu35OgT1c7rWJv374d9fUtl4q+9957SEh4NMHWwIEDMXDgQK3imRPqoVuw6JQDcO7Vi5M4lMx1k5eXh8rKSvTvr3ipX7rWo5IVkznfwcFikjkA9svw/PnzesdS17affZupVSxlyVxoy7OYZA7o17bh4eEYMGAAVq1ahS1btnBSn4biYuCv3re9b2fw7R4lVoeAruzj+ps3tY59p6IZrZ1vb1cBbG0evYF+HgL2cVGZ9ofdU1NT2ccFBQXo06cPhEIh/P39sWTJElRWVmod01xQD93Cha5aDQC4/NoraK7WbgRsv+QU8Hgqui1EI3fu3AEA+Co5VeGWcUGv2JaUyFu5uLhAKBSy7aIPdW17ubq7XrEtKZG30qdtnZ2dceLECYwbNw6rV68GwzBYvXq1XvWRVD+6rbPA0VGujO/w6Bp/iQ63f65tfPTj1tFO/jtK2OZ5bYP2h9yLiorYx++88w77+N69e9i9ezfOnDmDzMxMOLZ7TZbAohK6RCKBRKL7QAhd99n2f3Pdd6/3PwQAiMViFK1bB3FZqdL1/N55F55eXgCA5mblI0Ut5TUbat/aqKioAAB4eHhwVxEV96xX9+NLWVlhYaFJBnV5enqivPzRuVFd622ItuUB+EhJMrfUtgWAoKAgFBcXaxVnzZo1iI6ORmxsLLusNi8PBVuV997bn97r89777dZgVD7lgYf8+2J8/JPyDkf78+hvT5V/vxVStlxs7bX9O+/Xrx9++OEHAMD48eORk5ODq1evYv/+/XjFSFcVccmiEvrPP/9skl9NrlevIOPqFaPvFwDQJ1zuEJFGhg9XWVSSkaFxGK33yyFT7Lv1vJo2HP7qiTQ0NHBSh5A1a+Has6fSMmWX0yQnJ6OqqgrLli1TKNPnvLM+Ghoa5P5Oda0312372lgnhHRRPjucpbYtAEydOlUhyauSm5uL7OxseHl5ITg4WK+62La5C6S03d+OtM10xjZu6q9EUMZF+ChVNzTJp/QGyaPnLg7ap3QfHx/cu3cPADB37lx07dpyemDevHnse/37779rHdccWFRCHzNmDFxdtf9w6EMikSDj6hUEh4RAwDfukAOpTIZLAEaPHg1bW1uj7VcikSA1NdXo+zX1vlt7hNrw8fEBAM7Ou93ctBGA8sPtyiZWSU9PR1FRkcpJV4xNJpOhuroa4eHh7DJd68112+74qQ5AndLD7ZbatkDLwC5NnDt3DrGxsfD29kZaWhrCwsLkyl1691b43LX2zJV9Hm2cnMATCMBIpWh68AAysZg9j97Y5rSAY3AIunSxU2j31p65svfD0Z4HAR+QyoDyWikkzQx7Hv3+w0dHFgN9tP+OGDRoEL7//nuF5UybGRwt8XA7YGEJ3dbW1uhf8q0EfD74AkHHKxqAqV63KdvbFPvWZX/h4eHg8/nIz8/ntC7ZCXMQ/NF2uHF5KN8I8vPzIZPJ0LdvX71jGaptlyaVI3GSLTzc3Tpe2Yzo07ZZWVkYO3YshEIh0tLSEBkZqXd9BI6OcBs4CFUZF8BIJLh35Ag6T5yI2suXIbp+HQBg5+0N14gIrWM72PERFWiHi4ViSKTAD7/XYWw/R1y7K8HNBy0J3dOZjzA/7f9m58+fzyb05ORk9pLIlJRHp7nGjBmjdVxzYFEJnRBz4+7ujsjISGRlZYFhGLnzrdVDhuo1MO7WsqUALGtwXMZfp3RiYmL0jqWubfu6Feo1MC7xOwmAcosaHKdP24aGhiImJgZbtmzh5MdWq64zZqD+ZgHE5eUo+/kkyn4+yZbx7OzQ7cWXwNOxIzRxsDOKyqpQKZLhzNVGnLnayJbZCoCZw10g4Gt/yD0uLg4JCQlISUnBpUuXEBAQIFc+adIkxMXF6VRnU6PL1gjR08SJE1FdXY3MTPlLqUYuWcJJ/OyEORA3Nna8ohlITU2FQCDA+PHjOYmnqm0XTh7ESfylSeVobDL+AExd6NO2bm5uOHbsGKfJHABs3d3Rc10ivJ95Bnbe3uAJBLBxcYH7wEEIe+ttuOhxWa2bIx+vj3fH8N5CeDrzIeADTvY8RAXaYfl4d/TorPsRvP3792PXrl3o378/HBwc4ODggOjoaGzfvh1Hjhyx2Kt/qIdOiJ4WLlyIDRs24ODBg0rnG+fClUUvqRz9bi7q6+tx9OhRTJgwAX5+fpzENEbbvnmo5bIqc+6tG6JtNaHJ0SFbV1cEzJ4DzNZuoitN2tvFgY+pQ50xdahWoTvE5/OxePFiLF68mNvAJkY9dEL05O/vj/j4eBw6dAh1dXVyZZweLldy29XWgVvm4PDhwxCJRBpNnalpvdW1raETsKW2LXl8UUInhAObNm2CSCTCzp07Fcpc33iDk32Y87n05uZmbN68GXFxcRgxYgSnsdW17cJhtZzsw5x754ZsW2JdKKETwoHu3bsjJSUFTk5OCmUhkVHwVDM3gCbMOZkDLbO6zZo1Cx98oNmNZrShrm379uqOIT20m8u7PXNO5oBh25ZYFzqHTghHpk2bprIscOGLcHl2PIpXvql1XHNP5kDLbGWGvF5bXdvOGO6KUb2qsOWY9vfINvdkDhi+bYn1oB46IUbi2aVLS3LWcARttwlxFpHMzUFnH3dsn+et8VSgT/dwtohkTog2qIdOiJG1Hameu2QxpG0Ge9l36YI+W99RthnRQNt52lcdKkd906OyTm4CrJlsWRP1EKINSuiEmFDkrt0G30dsf2eD78McbZlh+B6436TJBt8HIZqiQ+6EEEKIFaCETgghhFgBSuiEEEKIFaCETgghhFgBSuiEEEKIFaCETgghhFgBSuiEEEKIFaCETgghhFgBSuiEEEKIFaCETgghhFgBSuiEEEKIFaCETgghhFgBSuiEEEKIFaCETgghhFgBSuiEEEKIFaCETgghhFgBSuiEEEKIFbAxdQU0wTAMAKCmpsbo+5ZIJJBIJGhqagJfIDDqvmVSKeolzaipqYGtra3R9iuRSFBfX2/0/Zp637W1tQAefd4IIcSSWERCb/2iDQgIMHFNyOOgtrYWbm5upq4GIYRohcdYQHdEJpPh3r17cHFxAY/HM3V1iJViGAa1tbXw8/MDn09nowghlsUiEjohhBBC1KNuCCGEEGIFKKETQgghVoASOiGEEGIFKKETQgghVoASOiGEEGIFKKETQgghVoASOiGEEGIFKKETQgghVoASOiGEEGIFKKETQgghVoASOiGEEGIFKKETQgghVoASOiGEEGIFKKETQgghVoASOiGEEGIFKKETQgghVoASOiGEEGIFKKETQgghVoASOiGEEGIF/h/WPKQJq6tj6wAAAABJRU5ErkJggg==" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 3 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 0, 4 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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V87e//U1lu1Lb8p5//nmmvLycOXnyJBvcRSIRo1Ao2P3bXi7Z3vjx49n6XLlyhZFIJMzNmzeZ/fv3M2lpaWZqRWIO9+/fV/ls/Pbbbzr3X7RoEbvv6NGjmVu3bjG3b99mnn76aXb7okWL2P2NDegAmNdee42prKxk9u3bp/KDoS1t+TOMaX8jTz75JHPlyhWmvr6eOX/+vGGN2rZ+Rh9JCLFJ+gb0+vp6trcUHR3NMAzDFBQUsPu99NJLbJ4hISE68wTAjBs3jt1fuY3P5zOVlZXs9ri4ODbt7t277HZdAT0lJYUBwPB4PGb69OnMO++8w2RlZTH37t3juumImd27d0/lM3P69Gmd+7f93J09e5bdXlhYyG5/6KGH2O3GBvSAgAD2rpMMwzB+fn4MAMbFxUUlH10B3di/EQBMWVlZR02nF7Ms/co1hUKBO3fuwNPTk+5ORcyGYRjU1tYiODiY82v4rSU5OVnrWvFubm6YMWMGPvroIxQVFeHs2bP44osv2PQFCxawj9uuaa+NWCxW29atWzeVNfDbXobU1NSkz0tAamoqiouLceDAAezZs4ddVZLP52PatGn44osv1JYhJrbJ398fXl5e7Lnv8+fPIzY2Vuv+bT93bW8k1fa8tabPJtPuSgmZTKazXr169WLvOgm0fE4rKioMukmYsX8jAQEB6N69u97l6GIXAf3OnTucvWBjDEl63Wpl533/ttXK7qxu3ryJhx56yNrVsIj58+fjo48+AgBkZGTgq6++AgA8+uijiIuLY/cLDAzE7du3wePxcPv2bQQFBanl1f5LFNDv5j+6tgMt1/xmZWWhqqoK586dQ0lJCfbs2YOffvoJX331FZKSkvD88893/GKJ1fH5fIwfPx5ffvklgJbJji+88ILGH2QymYz93AEtE9GU93poe8lYYGAg+9jFxQXNzc0qM8UVCgWuX7+us176fk51MfZvRNvNnYxhFwHd09MTAFBSUsI+thSpVIrPD5WiR1gP8AWW7bUp5ArInn8UTz75pFEr3xlLKpXiyJEjFi/X2mVXVlaid+/eFv+MWdMjjzyCgQMHoqCgAB988AHbk5k/f77KfhMnTsT7778PhmGQnJyMrVu3IiIiAhUVFfjvf/+LTz/9FNOnT8fs2bONqoefnx/7JX3mzBmV64937NgBoOX+8o888gji4uJQWlqKn376CQBQVlZmVJnEOlJTU/Hdd9+hrq4ORUVFmDBhAtauXYt+/fqhrq4O//3vf/Hee+9hy5YtSEpKYn9wvvHGG9i5cyd4PB7eeOMNNr+kpCT2cVhYGC5fvgyxWIxTp05hyJAhePfdd/W6Zbc+/Pz8UFFRAbFYjNu3b6vcP8TcfyP6sIuArvy15OvrCy8vL4uWLZVKIRTehqubKwQWHoaVKxSQu7nBz8/P4gHdzQrlWrtsJUc6rbNr1y7s2rVLbXtJSQk7bDl//nwUFBSwwdzDwwPTp09X2T89PR1HjhzB+fPnkZ2djX79+qnlaUov+bHHHmPvPKccgk1ISEBubi7y8vK0Lg3t5OSkdtkdsW29evXC999/j6lTp0IsFiMrKwtZWVka901PT8fPP/+M4uJiHDx4UCWAKvNqu4jS7NmzsWrVKgAtnyl3d3fU1dXBzc2Nk7tPPvbYY/jhhx9QX1/PjuIpT2uZ+29EH45xopAQYrQXXnhBZVTi+eefVxul8PX1RV5eHtauXYvY2Fi4u7uz920YNWoU3nnnHZPuS5CWloYZM2YgMDBQ7QfVpEmTMHXqVISHh8PT0xMCgQD+/v5ITEzEzz//bHOriZGOPfnkk7h48SLWrl2LIUOGwMfHB0KhECEhIXjyySexdetW9OrVCwEBAcjPz8fKlSvRr18/iEQiuLi4oG/fvlixYgXy8/Ph7+/P5rts2TKsXLkSoaGhcHZ2Rp8+fbBv3z4MGjSIk3r/85//xPjx4+Hn56eWZu6/EX3YxdKvNTU18Pb2RnV1tVV66O//uwi9evWyTg/99hGMHTvW4j30/fv3W7xca5ddUVEBf39/q3zOCCHEVNRDJ4QQQhwABXRCCCHEAVBAJ4QQQhwABXRCCCHEAVBAJ4QQQhwABXRCCCHEAVBAJ4QQQhwABXRCCCHEAVBAJ4QQQhwABXRCCCHEAVBAJ4QQQhwABXRCCCHEAVBAJ4QQQhwABXRCCCHEAThZuwKEdGZnFy6EorGBfe4cGIioTZutUpflX1agUdJ6N+UALz5WT/bltIw7e//DaX5tBU+cZLa8CbEHFNAJsbDCOckAw2hMk9y7h8Lk2QAAr5EjEZ48x6x1SckQQ3NNgPIaBRZniAEAQ/u544UhrmatCyHENDTkToiFVNy50xKstQTz9moOH2aDO9fu3n+AxTqCeXunLtSzwZ0QYpsooBPCAYVCgZiYGIwdO1ZjeuknH6NsxXKj8uY6qO8+VoONP8qNOtbWg/rVq1fh5OSEDz/80NpVIcTiaMidEA5kZmaiqKgIO3bsUEu7euYMao8f13l87K7P2ceaAnhh8myVfYxVdPE68q956dxn61x/9rGmAL44Q6yyjy2JiIjAjBkzkJaWhpkzZ8LLS/drtaTqM2dQVZCPhpISSKuqoGhuhrBLF7j16Ilu48fDtXt3o/Oua1Lg0NkG3CiX4XalDNI/f68NjnDBjGGeHL0CxyGRSLBmzRr8+uuv+O2331BbWwsASEhIQG5urnUrZwLqoRNiIrlcjvT0dCQkJGDw4MFq6bXvbtF5vNeSpXqVoynQjxgxAmFhYXodDwA7T+kOcC8OrdMrH02B3tC6mMuyZctQXl6Obdu2WbsqKsp/zkblL7+g6dYtyOvqwEilkNy/j6q8U7iU+iaqz541Ou+qegWOXmhCaXlrMCfaNTQ0YNOmTcjNzWWDuSOggE6Iifbv34+ysjLMmjVLLU2f4fKaDgK+UsCzEwytmgp9hst3nvLQK6+nH3ExqS7m1L9/f8TExGDHjh1QKBRG51NWVmbQ/oXJs3W+3zyBAL7Dh6PX6jWI2fEp+v5jEzwiI1sS5XLc/fc3Wo9dnCHW+f65OvOQ0E+EWcM9MDqaJi92RCgU4uWXX8Znn31mcz/8TEFD7oSYKDMzEzweD5MnTzY6j5ZAwAO0TFPjYrhdX4szxOAxAMPTnG6rw+1tTZ06FatWrUJOTg5GjRpl8PF5eXkYOXIk1qxZg+XLjZv70F7YwpchcG0NtqJu3RD8/Au4kp4GAGi6e9fovP08BZg0pOXH2H8vNZpUz87A3d2dnWdx8OBBK9eGO9RDJ8QEDMMgNzcXffr0gY+Pj0parsETs9SDOd/VlZNg/ul/8g2riYZgLhLy7CKYA0B8fDwA4PDhw0YdHxUVhbi4OKxYsQIbNmzgpE5tg7mSQiJhHzv7cnvNP+l8qIdOiAkuXryIyspKJCYmqqV5550yKW8ue+XnqnuYdLy9BHKlgQMHAgBOnDhh1PEeHh44cOAAxo4di5UrV4JhGKxcuZLLKkIhleLuN/9in/s/bfhIAiFtUUAnxAS3bt0CAAQGBnKXKY+H2MxdGjZrGQPXklZSUmLyJDUegPc0BHNr1MUQnp6eEIlE7PvTVlhYGG7cuGFQfqtWrUJsbCz7w6324kVc3ai5597+PHq/t9+BS0CAyjZ5YyOub9uK+qtXAQBdHnscAX+eGii+K8H7B2s05t3+PPqbU7rAz1Ng0GshjsuuArpUKoVUKrV4mQCgkFt+6qiyTGu9ZkuXaytlG6KiogIA0KVLF07qEL5qNbx699aYlpqaqrYtMzMTVVVVSElJUUtrfwrAUH8b447wIM0TrCxdF2P4+vpCLFafSDZlyhSN2zUpKipCYWEh/Pz80LNnT07qJX3wAFffeRtNN28CAPyfHImHZs/W+SOJEH3YVUA/dOgQ3NzcLF5uTzeA+eMWrHU1SHZ2tt77ymQy/Fo3BE0Kkcb0OKeD8PbS77pUQ8rlmjXKbmho6Hindlz/PC/a2MjNRKRr694CoHm4PS0tTW1bbm4uSktLNaaZatvBegD1GofbLV0XYzQ2Nmr8vnj77bf1Ov748eNITEyEv78/cnJyEKmckQ7As29ftfdI2TPXdaqk8dYtXHvnbUgrKwEeD0GTp6Db+PEq+/QKclZrc2XP3N5OfRDLsquAPnr0aIsvFCGVSpGdnY1Ro0ZBKBTabNlp/65BXVPHC3n+JhsDVLY83jzDS2OvwF5eM9eUvW1DBPw5lFpZWclpXQqTZ6Pne1vhzVHP3xSLM8RImyhEFx9va1dFbwqFAtXV1YiKijLq+IKCAowZMwYikQg5OTmIjo42uU61ly6hZOt7kDc0gOfkhIfnvQTfPyfvmUrBMGhobvn7l8havwdkcgZ1TS2X7omEPDgJaBRASTlKU1PTenpDKpWy293c3KzSgTSFXQV0oVBo8S95Wy/73R+rUHpfZlS+y75s+SBr+9Vvq6/ZnGUaKioqCnw+H8XFxWpp1UOGmjQx7nrKYgDcTI4b4F1i0sS4tL1SALa7Qlx7xcXFUCgUGDBggFHH9+rVCwkJCdiwYYPRebT3x97/QP7nKBAjk+HG9o9wY/tHKvtoOt+ujwd1Cvzvvx+obT9dIsHpkpYfm9Of8MCQXppH7jqjAA3tfOLECXZ7amqqzYw26YsuW7NjizPERgfz9vnUNEg63pGo8fHxQXR0NAoKCsC0u+nKiEWLOCmjMHk2JE1NJuUxb9IgTuqyOEOMpmbLz28wVF5eHoCWpTyN4e3tjaysLM6COSGWYFc9dNKK65tkrPm/GozrV4dRQ8I4zbczmDBhAtLS0pCfn69x6VcunF8wX+vsd0t7Y081ANs+n5udnQ2BQIBx48ZZrMyORlJ6rTD+sreO2trPU2DT74ctav8D3BFQD90OGRLMt871Z/+9N8dP575ZFzxwv9LwiWGd3bx58yAQCLB79261NE5XeNPwBaSciKYPc3/hG1IXc2poaMC+ffswfvx4BAcHW7s6hFgMBXQ7Y0gwfyTUWeU5j8eDkK/7V+m67yigGyokJARTp07Fnj17UF9fr5bu9dprnJTDxY+DefHc3IjClnuDX3/9Nerq6rBkyRJrV4UQi6KAbkc+/emOQfvHdC1X2/bqMz4dHvfWXs2LWhDt1q1bh7q6OnzwwQdqaeHRMfAdNsyk/Lnq6Q/o0wNDIpw73lEHWw7mMpkM69evR1JSEoYPH27t6hBiURTQ7ci5O4Z9Ee/KV7/M6N0fqjs8bvVE27mHtL3o0aMHdu3aBXd3d43pofNeQujGfxiVN9c3Zpk+zAsrxhk3fcaWgznQsnLfzJkzsWWLfnewI8SRUEC3E/8+qd99qtt754fWS1k2ffdAy728Wtn6F7YtmzZtGv76179qTfcNCmoJznquCPbw+CSz3WWtW4APts71h75XJT8V4WEXn42wsDCkpaUhPDzc2lUhxOJolrud+OWScZctlYnlep13D/V3wtLxPkaVQQzTdqZ60aKXIW9z3t0lKAj9jOzJG6PtOu0r9ojR0Nya1tVbgFWTrL+wDSFEPxTQiV30vBxV9IcfdbyThWyYbv7PQfDESWYvg5DOiobc7cDR04ZNhtOXkE/BnBBCHAX10O1AbokH0OHZb8O8M7sLnAR020VCCHEUFNDtQG0jd8Fc2/2tCSGE2DcK6J3IY71FmPa4h7WrQQghxAzoHHoncuJKE+drwBNCCLENFNDtgJcrt/cwXpwhRs5/z3CaJyGEEOuigG4HEnoat6iMLt8XP4QU6q0TQojDoHPodiAhNhg/nO94yVZDMWjprb8wBBjajybKWcPZhQuhaGy9IY5zYCCiNm22Sl2Wf1mBRknrBMwALz5WT/bltIwDp7n/caqU+CjNDyGdGwV0gq/ygK/yxHRNuoUUzknWeCtUAJDcu4fC5NkAAK+RIxGePMesdUnJEGu9ILK8RsHOuRjazx0vDHE1a10IIaahIXc7MbyvyOxlLM4QI//MJbOX01lV3LnTEqy1BPP2ag4fZoM71+7ef4DFOoJ5e6cu1NOESkJsHAV0OzF5qGWGE3cX+uMf39PtUw2lUCgQExODsWPHakwv/eRjlK1YblTeXAf13cdqsPFHuVHH2npQv3r1KpycnPDhhx9auyqEWBwNuduR6GAJigy8haoxxDUMwO2pU4eXmZmJoqIi7NixQy3t6pkzqD1+XOfxbe+qpimAFybP5uTOa0UXryP/mu7b47Y99aIpgC/OsN3TMxEREZgxYwbS0tIwc+ZMeHnZzq2ApTU1uPfD92i4fh0NN26AkUoBAL5PPIHQl+ablPf5mxKcvdGMsnIZahoVaJYx8HHj42F/J4yKdkOwL33VtyWRSLBmzRr8+uuv+O2331BbWwsASEhIQG5urnUrZwLqoduRF/8n2CLlbJ6pfh91op1cLkd6ejoSEhIwePBgtfTad3Xfm9tryVK9ytEU6EeMGIGwsDC9jgeAnad0B7gXh+o3aU1ToDe0LuaybNkylJeXY9u2bdauigrpgwcoP3QI9VevssGcK8cuNiKvuBl3q+Sob2YgkwPiWgVOl0iw+fsqXLgl4bQ8e9fQ0IBNmzYhNzeXDeaOgAK6nTF3z2j1BDez5u+I9u/fj7KyMsyaNUstTZ/h8poOAr5SwLMTDK2aCn2Gy3ee0u/UztOPuJhUF3Pq378/YmJisGPHDigUCqPzKSsrM2j/wuTZOt9vgZsbAkaPRujChQgcn2RQ3oszxDrfPwEfGNLLBSljvbF5lh9WTeqC8MCWXrmCAbJ+q9d6bGckFArx8ssv47PPPrO5H36moHEYO7R1rr9ZzmWO61ePgC7+kHLce3B0mZmZ4PF4mDx5stF5tAQCHrTdhIeL4XZ9Lc4Qg8cAjJb1jGx1uL2tqVOnYtWqVcjJycGoUaMMPj4vLw8jR47EmjVrsHy5cXMf2nMJCMBDM2YCAMSHD3OSp9Ls4Z4QObf2z7p6C/DsIHdsyWq53PVetXFzJhyVu7s7O8/i4MGDVq4Nd6iHbqe4/lJdN80Lo4aEcppnZ8AwDHJzc9GnTx/4+PiopOUaPDFLPZjzXV05Ceaf/iffsJpoCOYiIc8ugjkAxMfHAwAOGxk4o6KiEBcXhxUrVmDDhg1cVs0s2gZzJWmbGN7Fnb7qOwPqoduxrXP98c8DVbj6h8zkfIhxLl68iMrKSiQmJqqleeedMilvLnvl56p7mHS8vX1GBg4cCAA4ceKEUcd7eHjgwIEDGDt2LFauXAmGYbBy5Uouq2hWMjmDHwpah9mH9aU1BDoDCuh27tVEHwDAmq8rUGPgbVbfm+MHHo/bdeI7m1u3bgEAAgMDucuUx0Ns5i4Nm7W/V5rSSkpKTJ6kpu12u9aoiyE8PT0hEonY96etsLAw3Lhxw6D8Vq1ahdjYWPaHW+3Fi7i6UXPPvf159H5vvwOXgAC9yyq+K8H7BzVfOtr+VNubU7rAz1Ogsq1JosDOw7UoLW/5oT8o3MUi61gQ67OrgC6VSi1+fldZnjXOKxtS9puTW2YvSyQSvLO/GRV1micDrUiUw8+v5Zo0mUxzz95eXrO5yjZERUUFAKBLly6c1CF81Wp49e6tMS01NVVtW2ZmJqqqqpCSkqKW1v4UgKH+NsYd4UGae3aWrosxfH19IRarzzWZMmWKxu2aFBUVobCwEH5+fujZsyfXVeRcdYMc2w/V4M6DlvH2xyNFmBLvTj/cOwm7CuiHDh2Cm5t1ZmFnZ2dbpVxjyo5xhtbryPPyzFcul6xRdkNDQ8c7tePq2hLwGhsbOanDtXVvAdA83J6Wlqa2LTc3F6WlpRrTTLXtYD2Aeo3D7ZauizEaGxs1fl+8/fbbeh1//PhxJCYmwt/fHzk5OYiMjGTTPPv2VXuPlD1zU0+V9ApyVmtzZc9c16mPuw9k2J5dg6p6BXgAnolzw6houmqlM7GrgD569GiLLxQhlUqRnZ2NUaNGQSgUdoqyO+NrBlp724YI+HMotbKyktO6FCbPRs/3tsKbo56/KRZniJE2UYguPvazPoFCoUB1dTWioqKMOr6goABjxoyBSCRCTk4OoqOjTa4To1BAXt9yXlve3NxaV6kMsj+vheaLROAb8bm/+ocUn+bUoFHCQMAHZgzzRFxP27200BYoR2lqalpPb0ilUna7m5ub1TqQxrKrgC4UCi3+Jd+Zy+5sr9mY8qKiosDn81FcXKyWVj1kqEkT466nLAbAzeS4Ad4lJk2MS9srBWC7K8S1V1xcDIVCgQEDBhh1fK9evZCQkIANGzYYnUd7kooKXHj9NbXtVXmnUPXn5+TheS/Bb9gwg/M+UFjP3ilPrgA+P1qLz4+qLpii6Xx7ZxagYV7DiRMn2O2pqak2M9qkL7qWgRAT+Pj4IDo6GgUFBWDa3XRlxKJFnJRRmDwbkqYmk/KYN2kQJ3VZnCFGU7Ptr1OQ9+e5pYSEBKOO9/b2RlZWFmfBnBBLsKseOiG2aMKECUhLS0N+fr7GpV+5cH7BfK2z3y3tjT0ti5XYcm89OzsbAoEA48aNs1iZHY2kuAQEGD3a0lFbK692Ifpr/wPcEVAPnRATzZs3DwKBALt371ZL43SFNw1fQMqJaPowdwA2pC7m1NDQgH379mH8+PEIDrbM/Q8IsQUU0AkxUUhICKZOnYo9e/agvl59zWyv19TPmxqDix8H8+K5uRGFLffOv/76a9TV1WHJkiXWrgohFkUBnRAOrFu3DnV1dfjggw/U0sKjY+BrxESntrjq6Q/o0wNDIky7Ba8tB3OZTIb169cjKSkJw4cPt3Z1CLEoCuiEcKBHjx7YtWsX3N3dNaaHznsJoRv/YVTeXN+YZfowL6wYZ9z0GVsO5kDLyn0zZ87Eli363cGOEEdCk+II4ci0adN0pvsGBcF31+conJOs8Xx4ew+PT4LflClcVU9FtwAfbJ0LpGSItdzfTdVTER5IGmb7y4eGhYXZ3aVGhHCFAjohFtZ2pnrRopfZxUYAwCUoCP2M7Mkbo+067Sv2iNHQut4JunoLsGqS9Re2IYTohwI6IVYU/eFH1q4Ca8N08w+nJz7qYfYyCOms6Bw6IYQQ4gAooBNCCCEOgAI6IYQQ4gAooBNCCCEOgAI6IYQQ4gAooBNCCCEOgAI6IYQQ4gDoOnRCrOjswoVQNDawz50DAxG1aTOnZdzZ+x9O82sreOIks+VtquVfVqBR0roOXoAXH6sn+3JaxoHTdZzm1xZds08MRQGdEAvTtfSr5N49FCbPBgB4jRyJ8OQ5FqyZ/dO1lG15jQKLM8QAgKH93PHCEFfLVYwQC6Ahd0I4oFAoEBMTg7Fjx2rdp+LOnZZgrcc67gBQc/gwG9xt3dWrV+Hk5IQPP/yQ87z1adu79x9gsZ7r0gPAqQv1bHC3deZsW+JYKKATwoHMzEwUFRVpvTFI6Scfo2zFcqPytoegHhERgRkzZiAtLQ01NTWc5t1R2+4+VoONP8qNytsegro525Y4FgrohJhILpcjPT0dCQkJGDx4sFr61TNn8OD4cZ15xO76nP2niT0E9WXLlqG8vBzbtm3jLM+O2rbo4nXkX5PozGPrXH/2nyb2ENTN0bZckdbU4NbuL3D+taU48+JfcO6Vv6Lk/X+isazM5LxrGxX49lQd0r+pxNJdYqz6qgIZR2pwu1JmdJ6nT5/GpEmTEBERAW9vbzg5OcHPzw8JCQnYsWMHGD1H0GwRBXRCTLR//36UlZVh1qxZGtNr39V9b26vJUv1KkdTUB8xYgTCwsL0Ot7c+vfvj5iYGOzYsQMKhULnvvrWu6O23XnKS+fxLw7Vb9KapqBur21rSdKqKlxJT0N5djYkYjEYmQyy2lpU5efj8tr/Re2lS0bnXd2gwJasKhy72ITKOgXkCqCuicGZUgnezarC1T+kRuV74cIF7N27F9euXUNNTQ3kcjkqKytx7NgxzJ8/H6+//rrRdbY2CuiEmCgzMxM8Hg+TJ09WS9OnZ13TQcBXCnh2gqFVs7ipU6eirKwMOTk5nOSnq2316VnvPKXfTPGnH3ExuG6WZmrblhnRYy5Mnq3zM3xrz5eQiFveh4DR/4MBH3yI0IUvAzweGIkEZTs+ASPXfDpkcYZY53u499c6VNa1/HhJ6CfC+um+mJ3gCR4PkMqBL3+phVxheG86PDwc27dvR3FxMRobG3Hr1i0kJyez6Tt37jQ4T1tBAZ0QEzAMg9zcXPTp0wc+Pj5G59PyxZms9cszdtfneGiS7V4iphQfHw8AOHz4sMl5cdW2izPESPlMe/DYOtcf42M9jc7fUkxp27y8PPTt2xcbN27krD6y+npUFRQAAHhCIYKfew5OHh7wjY+HR2QfAIBELEbN778bnHdDswJnS1tOpQgFwPg4d7i78BHX0wXhgUIAQGWdApfvGN5Lj4+Px4IFCxAREQGRSISQkBAsXdo6Subs7GxwnraCAjohJrh48SIqKyvx6KOPqqXlGjwrWb23wXd11Xpe3RYNHDgQAHDixAmT89LVtp/+J9+gvBie+jaRkKf1vLotMqVto6KiEBcXhxUrVmDDhg2c1Kfxxg3gz963S2A38NsEQtfuD7GPG65dMzjvWxUyKDvf/l4CCJ1a38DgLgL2cWm5ccPuSgqFAjdv3sSWLa2jZG2Du72h69AJMcGtW7cAAIGBgWpp3nmnTMrbngK5kqenJ0QiEdsuptDVtueqe5iUtz0FciVT2tbDwwMHDhzA2LFjsXLlSjAMg5UrV5pUH2l1NftY4OamksZ3bb3GX1pTDUPVNrX+uHVzVv01JmrzvLbR+AlsQ4cORV5eHvvcyckJmzZtwpIlS4zO09rsKqBLpVJIpab9IjOmzLb/d4ayO+NrNrbMiooKAECXLl24qwiPh9jMXRo2a+hm6kgrKSmxyqQuX19fiMWtw9vG1tscbcsD8J6GYG6vbQsAYWFhuHHjhkH5rFq1CrGxsUhMTGS31V68iKsbNffe258K6vf2O+32YLQ+5YGH4rsSvH9Q8yV37U+FvDlF9f1WC9kqeXNHJpNh6dKlkEql+Pvf/85hzpZjVwH90KFDcGv3S9ASvC6cR96F83rvL5PL0aW0FAItAeJG9+7wdnfXL7N+UcjOzta7bC5Zq1xrld3Q0NDxTu24/tkTaWxs5KQO4atWw6t3b41pqampatsyMzNRVVWFlJQUtTRTzjuborGxUeXv1Nh6c922fxvjjvAgzavD2WvbAsCUKVPUgrw2RUVFKCwshJ+fH3r27GlSXYTe3uxjebu/HXmb5YydvHVfiaCJp6g1VDc2q4b0Rmnrc09X40P6qVOnIJfL8ccff2Dnzp3sZ2D16tWYO3cuAgICjM7bWuwqoI8ePRpeXoZ/OEwhlUqRd+E8eoaHQ8DXPeVA/NNPYCS6r4kFgNCbN9nH/uPGae0dyBUKnAEwatQoCIVCQ6ptEqlUiuzsbIuXa+2ylT1CQyj/6CsrKzmpw7V1bwHQPNyuaWGV3NxclJaWal10xdIUCgWqq6sRFRXFbjO23ly37baD9QDqNQ6322vbAsDbb7+t1/HHjx9HYmIi/P39kZOTg8jISJV0z7591T53yp65ps+jk7s7eAIBGLkczffuQSGRsOfRm9qcFnDrGY6gIGe1dlf2zDW9H24uPAj4gFwBiGvlkMoY9jz63Qet16CHBpj2HSEQCBASEoI333wTW7ZsQXV1NaRSKa5fv04B3dyEQqHFv+SVBHw++AKBxrTKo8cgfWDcl444KwsAEDhhgtZ9rPW6rdne1ijbmPKioqLA5/NRXFzMaV0Kk2ej53tb4c3lUL4FFBcXQ6FQYMCAASbnZa62XZwhRtpEIbr4eHe8sw0xpW0LCgowZswYiEQi5OTkIDo62uT6CNzc4D1wEKryToGRSnHnm2/QbcIE1J47h7rLlwEAzv7+8Orf3+C8XZ35iAl1xukSCaRy4Iff6jHmETdcui3FtXstAd3Xg4/IYMP/ZlNSUjBs2DDExcUhODgYlZWV2LlzJ6r/nBMgEAjQo4dpczSsxa4Cui26t28fZ/l0GTMGziIRJ/kRy/Dx8UF0dDQKCgrAMIzKaEv1kKEmTYy7nrIYgH1NjlNOMkpISDA5L11tO8C7xKSJcWl7pQDEdjU5zpS27dWrFxISErBhwwZOfmwpPTR9OhquXYVELEb5oZ9QfugnNo3n7IyHX5oPnpaOUEcmDPZAaXkVKusUOHqhCUcvNLFpQgEwY5gnBHzDh9z37duHrVu3ak1fsWIFunbtalSdrY0uWzMBV8Fc6cHBgyi7cIHTPIn5TZgwAdXV1cjPV72UasSiRZzkX5g8G5Kmpo53tAHZ2dkQCAQYN24cJ/lpa9t5kwZxkv/iDDGami0/AdMYprStt7c3srKyOA3mACD08UHv1DT4P/00nP39wRMI4OTpCZ+BgxC55k149uljdN7ebnwsHeeDYX1F8PXgQ8AH3F14iAl1xpJxPojoZtwI3sKFCzFixAgEBQXB2dkZzs7O6N69OyZOnIisrCysXbvW6DpbG/XQjWRIMG87nM4wDO5/953WfV2uXEHDQ93h5mX7C12QFvPmzcPatWuxe/dujeuNc+H8gvlaZ7/bioaGBuzbtw/jx49HcHAwJ3laom3f2NMy1GrLvXVztK0+9BkdEnp5ofus2cAsw+43oE97e7ryMWWoB6YMNShrnZYvX47ly427UZKtox66EQwJ5i7BQSrPeTweGB2XyABA7WFuls0klhESEoKpU6diz549qK+vV0njdLhcw00jlBO3bMHXX3+Nuro6va7j1bfeutrW3AHYXtuWdF4U0A10++RJg/av6qq+KIbv8OEdHnf/4EGDyiHWtW7dOtTV1eGDDz5QS/N67TVOyrDlc+kymQzr169HUlIShuvx+TaErradF1/LSRm23Ds3Z9sSx0IB3UBO9+4ZtL/rmTNq2x4cPdrhcV3HjDGoHGJdPXr0wK5du+CuYX2B8OgY+A4bZlL+thzMgZZV3WbOnKmyhCZXdLXtgD49MCTCtLW3bTmYA+ZtW+JY6By6AWrOnjXquIqjR+H358zUCj1urKDrEjZiu6ZNm6Y1LXTeS/B8ZhxuLH/D4HxtPZgDLauVmfN6bV1tO32YF0b2qcKGLMPvkW3rwRwwf9sSx0E9dAM0lpQYdZzswQPc27cP9/btg6xG8/KHAODk40PB3IH5BgW1BOcO5lAoPTw+yS6CuS3oFuCDrXP99V4K9KkID7sI5oQYgnroNoICeefRdqZ60aKXIW8z2cslKAj9Nv7DGtVyCG3XaV+xR4yG5ta0rt4CrJpkXwv1EGIICuh6unPlCsyxbhnD46Hbs8+aIWdiD6I//MjsZQRPtP37qJvDhunm74EnPuph9jII0RcFdD25lJRCwXGe/klJHa4PTwghhOiDArqeFJLmjncyAA2xE0II4RIFdAtzDQ2FV2ystatBCCHEwdB4r4U13rjB+RrwhBBCCAV0PfFcXDjN796+ffj9/HlO8ySEENJ5UUDXkySM+/vjBhQXU2+dEEIIJyig6ym4dy+z5X1v3z6UG7loDSGEEALQpDiboTh7FvfOnqXZ753M2YULoWhsYJ87BwYiatNmTss4cLqO0/zasuXrsJd/WYFGSesd6gK8+Fg92ZfTMu7s/Q+n+bXVWdcPIMajgG4A15490Xj9ulnLuLdvH2qjoxHRs6dZyyHWUzgnWeOtUAFAcu8eCpNb7ivtNXIkwpPnWLBm9i8lQwzNLQuU1yiwOEMMABjazx0vDHG1XMUIsQAacjeAV3S0RcrxLCqCODvbImURbigUCsTExGDs2LFa96m4c6clWGsJ5u3VHD7MBndbd/XqVTg5OeHDDz/kPG992vbu/QdYrCOYt3fqQj0b3G2dOduWOBYK6AaSB3azTDlt1vcmti8zMxNFRUVa74pV+snHKFux3Ki87SGoR0REYMaMGUhLS0ONjhsQGaOjtt19rAYbf5Qblbc9BHVzti1xLBTQDRQcP9Qi5dC5dPshl8uRnp6OhIQEDB48WC396pkzeHD8uM48Ynd9zv7TxB6C+rJly1BeXo5t27ZxlmdHbVt08Tryr0l05rF1rj/7TxN7COrmaFuuSGtqcGv3Fzj/2lKcefEvOPfKX1Hy/j/RWFZmct61jQp8e6oO6d9UYukuMVZ9VYGMIzW4XWn4rXKVTp8+jUmTJiEiIgLe3t5wcnKCn58fEhISsGPHDjB6jqDZIgroRjB3sPV86imz5k+4tX//fpSVlWHWrFka02vf3aLzeK8lS/UqR1NQHzFiBMLCwvQ63tz69++PmJgY7NixAwqF7jsf6Fvvjtp25ykvnce/OFS/CYGagrq9tq0lSauqcCU9DeXZ2ZCIxWBkMshqa1GVn4/La/8XtZcuGZ13dYMCW7KqcOxiEyrrFJArgLomBmdKJXg3qwpX/5Aale+FCxewd+9eXLt2DTU1NZDL5aisrMSxY8cwf/58vP7660bX2doooBvJXEG9uXck3Dw9zZI3MY/MzEzweDxMnjxZLU2fnnVNBwFfKeDZCYZWzeKmTp2KsrIy5OTkcJKfrrbVp2e985R+s/CffoTbhaPMwdS2LTOix1yYPFvnZ/jWni8hEbe8DwGj/wcDPvgQoQtfBng8MBIJynZ8Akau+XTI4gyxzvdw7691qKxr+fGS0E+E9dN9MTvBEzweIJUDX/5SC7nC8N50eHg4tm/fjuLiYjQ2NuLWrVtITk5m03fu3GlwnraCAroJuA7qvolj8HC/vpzmScyLYRjk5uaiT58+8PHxMTqfli/OZK1fnrG7PsdDk2z/Mqb4+HgAwOHDh03Oi6u2XZwhRspn2oPH1rn+GB9r+z+iTWnbvLw89O3bFxs3buSsPrL6elQVFAAAeEIhgp97Dk4eHvCNj4dHZB8AgEQsRs3vvxucd0OzAmdLW06lCAXA+Dh3uLvwEdfTBeGBLTeyrqxT4PIdw3vp8fHxWLBgASIiIiASiRASEoKlS1tHyZydnQ3O01ZQQDdR4IQJEPr5cZOPi4iDGhFLunjxIiorK/Hoo4+qpeUaPCtZvbfBd3XVel7dFg0cOBAAcOLECZPz0tW2n/4n36C8GJ76NpGQp/W8ui0ypW2joqIQFxeHFStWYMOGDZzUp/HGDeDP3rdLYDfw2wRC1+4PsY8brl0zOO9bFTIoO9/+XgIInVrfwOAuAvZxablxw+5KCoUCN2/exJYtraNkbYO7vaHr0DngO2wYAKD8wH4omnVP0Gmv67PPgsfT8G1D7MKtW7cAAIGBgWpp3nmnTMrbngK5kqenJ0QiEdsuptDVtueqTVuK2Z4CuZIpbevh4YEDBw5g7NixWLlyJRiGwcqVK02qj7S6mn0scHNTSeO7tl7jL62phqFqm1p/3Lo5q34/ito8r200fgLb0KFDkZeXxz53cnLCpk2bsGTJEqPztDa7CuhSqRRSqWm/yIwpEwDkekxE8Rv9Py3HyGSoOXoUioYGjfs5jRiBLn+eJ2cUCq3XzirLtNZrtnS5tlK2ISoqKgAAXbp04a4iPB5iM3dp2Kz9h5+mtJKSEqtM6vL19YVY3Dq8bWy9zdG2PADvaQjm9tq2ABAWFoYbN24YlM+qVasQGxuLxMREdlvtxYu4ulFz7739qaB+b7/Tbg9G61MeeCi+K8H7BzVfctf+VMibU1Tfb7XvR5W8uSOTybB06VJIpVL8/e9/5zBny7GrgH7o0CG4tfslaBH9onDGkP2FzsCYxI7301O2lRaZsVa51iq7QcsPMF1c/+yJNDY2clKH8FWr4dW7t8a01NRUtW2ZmZmoqqpCSkqKWpop551N0djYqPJ3amy9uW7bv41xR3iQ5tXh7LVtAWDKlClqQV6boqIiFBYWws/PDz1NXI1S6O3NPpa3+9uRt1nO2Mlb95UImniKWkN1Y7NqSG+Utj73dDU+pJ86dQpyuRx//PEHdu7cyX4GVq9ejblz5yIgIMDovK3FrgL66NGj4eVl+IfDFFKpFNnZ2Rg1ahSEQmGnKLszvmagtbdtCOUffWVlJSd1uLbuLQCah9s1LaySm5uL0tJSrYuuWJpCoUB1dTWioqLYbcbWm+u23XawHkC9xuF2e21bAHj77bf1Ov748eNITEyEv78/cnJyEBkZqZLu2bev2udO2TPX9Hl0cncHTyAAI5ej+d49KCQS9jx6U5vTAm49wxEU5KzW7sqeuab3w82FBwEfkCsAca0cUhnDnke/+6D1GvTQANO+IwQCAUJCQvDmm29iy5YtqK6uhlQqxfXr1ymgm5tQKLT4l3xnLruzvWZjyouKigKfz0dxcTGndSlMno2e722FN5dD+RZQXFwMhUKBAQMGmJyXudp2cYYYaROF6OLj3fHONsSUti0oKMCYMWMgEomQk5ODaA6WsRa4ucF74CBU5Z0CI5XizjffoNuECag9dw51ly8DAJz9/eHVv7/Bebs68xET6ozTJRJI5cAPv9VjzCNuuHRbimv3WgK6rwcfkcGG/82mpKRg2LBhiIuLQ3BwMCorK7Fz505U/zknQCAQoEcP7m+XbQl2FdAJsTU+Pj6Ijo5GQUEBGIZROd9aPWSoSRPjrqcsBmBfk+OUk4wSEhJMzktX2w7wLjFpYlzaXikAsV1NjjOlbXv16oWEhARs2LCBkx9bSg9Nn46Ga1chEYtRfugnlB/6iU3jOTvj4ZfmgycQ6MhBuwmDPVBaXoXKOgWOXmjC0QtNbJpQAMwY5gkB3/Ah93379mHr1q1a01esWIGuXbsaVWdro8vWCDHRhAkTUF1djfx81UupRixaxEn+hcmzIWlq6nhHG5CdnQ2BQIBx48Zxkp+2tp03aRAn+S/OEKOp2fITMI1hStt6e3sjKyuL02AOAEIfH/ROTYP/00/D2d8fPIEATp6e8Bk4CJFr3oRnnz5G5+3txsfScT4Y1lcEXw8+BHzA3YWHmFBnLBnng4huxo3gLVy4ECNGjEBQUBCcnZ3h7OyM7t27Y+LEicjKysLatWuNrrO1UQ+dEBPNmzcPa9euxe7duzWuN86F8wvma539bisaGhqwb98+jB8/HsHBwZzkaYm2fWNPy1CrLffWzdG2+tBndEjo5YXus2YDswy734A+7e3pyseUoR6YwuEtNJYvX47ly427UZKtox46ISYKCQnB1KlTsWfPHtS3u0sep8PlGm4aoZy4ZQu+/vpr1NXV6XUdr7711tW25g7A9tq2pPOigE4IB9atW4e6ujp88MEHamler73GSRm2fC5dJpNh/fr1SEpKwvDhwznNW1fbzouv5aQMW+6dm7NtiWOhgE4IB3r06IFdu3bB3d1dLS08OoZdTdBYthzMgZZV3WbOnKmyhCZXdLXtgD49MCTCtLW3bTmYA+ZtW+JY6Bw6IRyZNm2a1rTQeS/B85lxuLH8DYPztfVgDrSsVmbO67V1te30YV4Y2acKG7IMv0e2rQdzwPxtSxwH9dAJsRDfoKCW4Kzn2v0Pj0+yi2BuC7oF+GDrXH+9lwJ9KsLDLoI5IYagHjohFtZ2pnrRopchbzPZyyUoCP02/sMa1XIIbddpX7FHjIbm1rSu3gKsmmRfC/UQYggK6IRYUfSHH5m9jMRHPcxehi3aMN38PfDgibZ/j3rSedCQOyGEEOIAKKATQgghDoACOiGEEOIAKKATQgghDoACOiGEEOIAKKATQgghDoACOiGEEOIAKKATQgghDoACOiGEEOIAKKATQgghDoACOiGEEOIAKKATQgghDoACOiGEEOIAKKATQgghDoACOiGEEOIAKKATQgghDoACOiGEEOIAnKxdAX0wDAMAqKmpsXjZUqkUDQ0NqKmpgVAo7BRld8bXDAC1tbUAWj9vhBBiT+wioCu/aLt3727lmpDOoLa2Ft7e3tauBiGEGITH2EF3RKFQ4M6dO/D09ASPx7N2dYiDYhgGtbW1CA4OBp9PZ6MIIfbFLgI6IYQQQnSjbgghhBDiACigE0IIIQ6AAjohhBDiACigE0IIIQ6AAjohhBDiACigE0IIIQ6AAjohhBDiACigE0IIIQ6AAjohhBDiACigE0IIIQ6AAjohhBDiACigE0IIIQ6AAjohhBDiACigE0IIIQ6AAjohhBDiACigE0IIIQ6AAjohhBDiACigE0IIIQ6AAjohhBDiAP4fNoWLK4ASCZcAAAAASUVORK5CYII=" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 3 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 1 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 1 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 0, 2 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 0, 2 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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5m/blzZo1iykvL2d+//13NrmLRCJGoVCw27e/XLKjSZMmsfW5du0aI5VKmT///JPZv38/k5qaaqJWJKZw9+5dpc/G6dOntW6/aNEidttx48YxN2/eZG7dusU88cQT7PJFixax2xua0AEwr732GlNVVcXs3btX6QdDe5riM4xxfyOPPfYYc+3aNaa+vp65ePGifo3avn4G70kIsUq6JvT6+nq2txQZGckwDMPk5uay2z3//PNszB49emiNCYCZOHEiu33bMj6fz1RVVbHLBw0axK4rKytjl2tL6MuWLWMAMDwej5k9ezbzwQcfMPv27WPu3LnDddMRE7tz547SZ+bMmTNat2//uTt37hy7PC8vj13es2dPdrmhCd3Pz4+96yTDMIyPjw8DgHFyclKKoy2hG/o3AoApLS3trOl0YpKpX7mmUChw+/ZtuLm50d2piMkwDIO6ujoEBARwfg2/pSQmJmqcK97FxQVz5szBZ599hvz8fJw7dw5ff/01u/6FF15gH7ef016TiooKlWXdunVTmgO//WVITU1NurwEpKSkoKCgAAcOHMDu3bvZWSX5fD5mzpyJr7/+WmUaYmKdfH194e7uzp77vnjxIqKjozVu3/5z1/5GUu3PW6v7bDIdrpRoaWnRWq/Q0FD2rpNA6+e0srJSr5uEGfo34ufnh169eulcjjY2kdBv377N2Qsm1m9hVGTnG5nI1nP5+PPPP9GzZ0+L1cGcFi5ciM8++wwAsH37dnz77bcAgIcffhiDBg1it/P398etW7fA4/Fw69YtdO/eXSVWxy9RQLeb/2hbDrRe87tv3z5UV1fj/PnzKCoqwu7du3Ho0CF8++23iI+Px6xZszp/scTi+Hw+Jk2ahG+++QZA62DHZ555Ru0PspaWFvZzB7QORGu710P7S8b8/f3Zx05OTmhublYaKa5QKHDjxg2t9dL1c6qNoX8jmm7uZAibSOhubm4AgKKiIvaxuchkMhw9ehSPPfaYQbPP2WLZln7N+Vu3IKh3bwjM3EtubGzE1ucXmv0zZkkPPfQQBg8ejNzcXGzevJntySxcuFBpu6eeegqbNm0CwzBITEzEhg0bEBISgsrKSvz3v//FF198gdmzZyMhIcGgevj4+LBf0mfPnlW6/njbtm0AWu8v/9BDD2HQoEEoLi7GoUOHAAClpaUGlUksIyUlBT/99BMkEgny8/MxZcoUrF69GgMGDIBEIsF///tffPzxx/jwww8RHx/P/uB8/fXX8eWXX4LH4+H1119n48XHx7OPg4KCcPXqVVRUVODkyZOIiYnBRx99pNMtu3Xh4+ODyspKVFRU4NatW0r3DzH134gubCKht/1a8vb2hru7u1nLlslkcHFxgY+Pj0WSmyXKtvRrdnR0hIuzM/gWOoxqT6d1duzYgR07dqgsLyoqYg9bLly4ELm5uWwyd3V1xezZs5W2T0tLw9GjR3Hx4kVkZmZiwIABKjGN6SU/8sgj7J3n2g7BxsbGIjs7G6dOndI4NbSDg4PKZXfEuoWGhuLf//43ZsyYgYqKCuzbtw/79u1Tu21aWhp+/fVXFBQU4ODBg0oJtC1W+0mUEhISsGrVKgCtnymxWAyJRAIXFxdO7j75yCOP4Oeff0Z9fT17FK/ttJap/0Z0YR8nCgkhBnvmmWeUjkrMmjVL5SiFt7c3Tp06hdWrVyM6OhpisZi9b8PYsWPxwQcfGHVfgtTUVMyZMwf+/v4qP6imTp2KGTNmIDg4GG5ubhAIBPD19UVcXBx+/fVXq5tNjHTusccew+XLl7F69WrExMTA09MTjo6O6NGjBx577DFs2LABoaGh8PPzQ05ODpKTkzFgwACIRCI4OTmhf//+WLlyJXJycuDr68vGXbFiBZKTkxEYGAihUIh+/fph7969GDJkCCf1/uSTTzBp0iT4+PiorDP134gubGLq19raWnh4eKCmpsYiPfT9+/djwoQJFumtWqJsS7/m/76/HqGhoWbvoTc2NCBk7jyLfM4IIcRY1EMnhBBC7AAldEIIIcQOUEInhBBC7AAldEIIIcQOUEInhBBC7AAldEIIIcQOUEInhBBC7AAldEIIIcQOUEInhBBC7AAldEIIIcQOUEInhBBC7AAldEIIIcQOUEInhBBC7AAldEIIIcQOOFi6AoR0ZedefBGKxgb2udDfH+HvrbdIXd74phKN0vt3U/Zz5+PNad6clnH7x39xGq+9gKemmiw2IbaAEjohZpY3PxFgGLXrpHfuIC8xAQDgPmYMghPnm7Quy7ZXQH1NgPJaBZZurwAADBsgxjMxziatCyHEOHTInRAzqbx9uzVZa0jmHdUeOcImd66V3b2HpVqSeUcnL9WzyZ0QYp0ooRPCAYVCgaioKEyYMEHt+uKtW1C68g2DYnOd1Hcdq8W6X+QG7WvtSb2wsBAODg749NNPLV0VQsyODrkTwoGMjAzk5+dj27ZtKusKz55F3fHjWveP3rGTfawugeclJihtY6j8yzeQc91d6zYbFviyj9Ul8KXbK5S2sSYhISGYM2cOUlNTMXfuXLi7a3+t5lRz9iyqc3PQUFQEWXU1FM3NcPTygkvvPug2aRKce/UyOLakSYHD5xpQUt6CW1UtkP39e21oiBPmjHTj6BXYD6lUirfeegt//PEHTp8+jbq6OgBAbGwssrOzLVs5I1APnRAjyeVypKWlITY2FkOHDlVZX/fRh1r3d1/+qk7lqEv0o0ePRlBQkE77A8CXJ7UnuOeGSXSKoy7R61sXU1mxYgXKy8uxceNGS1dFSfmvmaj6z3/QdPMm5BIJGJkM0rt3UX3qJK6kvI2ac+cMjl1dr8Bvl5pQXH4/mRPNGhoa8N577yE7O5tN5vaAEjohRtq/fz9KS0sxb948lXW6HC6v7STht/GbPEXfqinR5XD5lydddYr1xENORtXFlCIiIhAVFYVt27ZBoVAYHKe0tFSv7fMSE7S+3zyBAN6jRiH0zbcQte0L9H/3PbiGhbWulMtR9s/vNe67dHuF1vfPWchD7AAR5o1yxbhIGrzYGUdHR7z00kv46quvrO6HnzHokDshRsrIyACPx8O0adMMjtGaCHiAhmFqXBxu19XS7RXgMQDDU7/eWg+3tzdjxgysWrUKWVlZGDt2rN77nzp1CmPGjMFbb72FN94wbOxDR0EvvgSB8/1kK+rWDQGznsG1tFQAQFNZmcGxfdwEmBrT+mPsv1cajapnVyAWi9lxFgcPHrRwbbhDPXRCjMAwDLKzs9GvXz94enoqrcvWe2CWajLnOztzksy/+FeOfjVRk8xFjjybSOYAMHz4cADAkSNHDNo/PDwcgwYNwsqVK5Gens5Jndon8zYKqZR9LPTm9pp/0vVQD50QI1y+fBlVVVWIi4tTWedx6qRRsbnslZ+v6W3U/raSyNsMHjwYAHDixAmD9nd1dcWBAwcwYcIEJCcng2EYJCcnc1lFKGQylH3/Hfvc9wn9jyQQ0h4ldEKMcPPmTQCAv78/d0F5PERn7FCzWMMxcA3rioqKjB6kxgPwsZpkbom66MPNzQ0ikYh9f9oLCgpCSUmJXvFWrVqF6Oho9odb3eXLKFynvufe8Tz6gPc/gJOfn9IyeWMjbmzcgPrCQgCA1yOPwu/vUwMFZVJsOlirNnbH8+hvT/eCj5tAr9dC7JdNJXSZTAaZTGb2Mtv/3xXKtobXLDdiMJOhDCmzsrISAODl5cVJHYJXvQn3vn3VrktJSVFZlpGRgerqaixbtkxlXcdTAPpaMl6M4O7qB1iZuy6G8Pb2RkWF6kCy6dOnq12uTn5+PvLy8uDj44M+ffpwUi/ZvXso/OB9NP35JwDA97Ex6JmQoPVHEiG6sKmEfvjwYbi4uFik7MzMTIuUq2/ZLS0tePDXTDg0NKhdf+HxJ+Du4cF5uZwaEI6zFii2Qdai9z7Of58XbWzkZiDS9TXvAFB/uD01NVVlWXZ2NoqLi9WuM9bGg/UA6tUebjd3XQzR2Nio9vvi/fff12n/48ePIy4uDr6+vsjKykJY24h0AG79+6u8R209c22nShpv3sT1D96HrKoK4PHQfdp0dJs0SWmb0O5ClTZv65nb2qkPYl42ldDHjRtn9okiZDIZMjMzMXbsWDg6Olpt2ZeXL4e8Tv1huvYisn5lH4dv+0Jtr8BWXjPX2nrb+vD7+1BqVVUVp3XJS0xAn483wIOjnr8xlm6vQOpTjvDy1O2HoDVQKBSoqalBeHi4Qfvn5uZi/PjxEIlEyMrKQmRkpNF1qrtyBUUbPoa8oQE8Bwc8mPQ8vP8evGcsBcOgobl1UKW05f7gyhY5A0lT65EnkSMPDgI6CtCm7ShNbe39702ZTMYud3FxsVgH0lA2ldAdHR3N/iVv7WVfW70a9YUFBsW9+HwSAM09Cmt9zaYsU1/h4eHg8/koKFB9D2pihhk1MO7GsqUAuBkcN9CjyKiBcak/ygBY7wxxHRUUFEChUGDgwIEG7R8aGorY2Fikp6cbHKOjv378F+R/HzljWlpQ8vlnKPn8M6Vt1J1v18U9iQL/9897KsvPFElxpqj1x+bsEa6ICRUZUHP75KemnU+cOMEuT0lJsZqjTbqiy9ZsWF5igsHJvGOcptrOe/dElaenJyIjI5Gbmwumw01XRi9axEkZeYkJkDY1GRUjaeoQTuqydHsFmprNP7ZCX6dOnQLQOpWnITw8PLBv3z7Okjkh5mBTPXRyH9c37Lj8ymI4z5yFfhpuLkI0mzJlClJTU5GTk6N26lcuXHxhocbR7+b2+u4aANZ9PjczMxMCgQATJ040W5mdHUkJXWn4ZW+dtbWPm8Cq3w9r1PEHuD2gHroN0ieZR+/Yyf57qJNk0PiPPai7c8fY6nU5SUlJEAgE2LVrl8o6Tmd4U/MF1DYQTRem/sLXpy6m1NDQgL1792LSpEkICAiwdHUIMRtK6DZGn2TuOWSw0nMejwc4aD8oU/i/KwyqV1fWo0cPzJgxA7t370Z9fb3KevfXXuOkHC5+HCQN5+ZGFNbcG9yzZw8kEgmWL19u6aoQYlaU0G3IxU/0u4mAdNgjKsv6rnqz0/2urKCkrq81a9ZAIpFg8+bNKuuCI6PgPXKkUfG56ukP7NcbMSFCo2JYczJvaWnB2rVrER8fj1GjRlm6OoSYFSV0GyLNzdVr+wY1PwCu/V9ap/v1W79er3II0Lt3b+zYsQNisVjt+sCk5xG47l2DYnN9Y5bZI92xcqJhw2esOZkDrTP3zZ07Fx9+qNsd7AixJ5TQbcSfXxv2pX717zs5AcCVN99Uex62PXPe1cvezJw5Ey+//LLG9d7du7e2r44zgj04Kd5k70c3P09sWOALXa9KfjzE1eqTOdA6rWtqaiqCg4MtXRVCzI5GuduIil9/7XwjNRpu3NDpvLtz797ol9p5750Yr/1I9fxFL0He7ry7U/fuGGBgT94Q7edpX7m7Ag3N99c94CHAqqmWn9iGEKIbSuiEeuUWFPnpZ51vZCbps03fAw94aqrJyyCkq6JD7jbguoG98045OFAyJ4QQO0E9dBsg27+f85iRX34FQSeXsBFCCLEd9I1uA1pqa7gLZiWzjRFCCOEWJfQuxHf0Y+i1YIGlq0EIIcQE6Bx6F1KRfZTzOeAJIYRYB0roNkDgwe19qPMSE5B7+DCnMQkhhFgWJXQb4BTH/R3QBN/sQt78RM7jEkIIsQw6h24D+jzxBC7s+Zb7wAyDvMQE+Dy/EA+OGMF9fNKpcy++CEVjA/tc6O+P8PcsM/XuG99UolF6fyZBP3c+3pzmzWkZB85IOI3XXtzDriaLTYgtoIROULltKyq3baVr0s0kb36ixil4pXfusOMc3MeMQXDifJPWZdn2CmiaDLi8VoGl2ysAAMMGiPFMjLNJ60IIMQ4dcrcRfmPHmbyMvMQEXPzjlMnL6aoqb99uTdadzKffpvbIEZMNYiy7ew9LtSTzjk5eqmeTOyHEOlFCtxE95841SznSzZtR8OYqs5RlTxQKBaKiojBhgvrxDsVbt6B05RsGxeY6qe86Vot1v8gN2tfak3phYSEcHBzw6aefWroqhJgdHXK3IcIhQyHN+cPk5TTfuWPyMuxNRkYG8vPzsW3bNpV1hWfPou74ca37tz/doS6B5yUmcHJKJP/yDeRcd9e6Tfu7qqlL4Eu3V1jtnddCQkIwZ84cpKamYu7cuXB31/5azUlWW4s7P/8bDTduoKGkBIxMBgDwHjECgc8vNCr2xT+lOFfSjNLyFtQ2KtDcwsDThY8HfR0wNtIFAd70Vd+RRCLBunXr8P3336OkpAQuLi4YNmwYVq5ciZEjR1q6egahHroNCV+82CzlRGz7wizl2Au5XI60tDTExsZi6NChKuvrPtJ+b2735a/qVI66RD969GgEBQXptD8AfHlSe4J7bphug9bUJXp962IqK1asQHl5OTZu3GjpqiiR3buH8sOHUV9YyCZzrhy73IhTBc0oq5ajvplBixyoqFPgTJEU6/9djUs3pZyWZ+vq6+sxatQorFmzBteuXUNzczPu3buHAwcOYPTo0dizZ4+lq2gQSug2xtQD10IsNMLalu3fvx+lpaWYN2+eyjpdDpfXdpLw2/hNnqJv1ZTocrj8y5O6jRR/4iEno+piShEREYiKisK2bdugUCgMjlNaWqrX9nmJCVrfb4GLC/zGjUPgiy/Cf1K8XrGXbq/Q+v4J+EBMqBOWTfDA+nk+WDXVC8H+rb1yBQPsO12vcd+uaPXq1cjLywMAzJgxA3fv3sWvv/4KFxcXKBQKvPDCC6iqqrJwLfVHCd0GmSqpO8+cBTd/f5PEtmcZGRng8XiYNm2awTFak0GixoQQvWMnek41z61Hl26vwLKvNCeQDQt8MSnazSx1MdSMGTNQWlqKrKwsg/Y/deoU+vfvj3Xr1nFWJyc/P/ScMxfewx+B0JvbywETRrlh9gg39PZ3hNCBhwc8BJg8RMyuv1Nj2JgJe8QwDL766iv2+XvvvQc/Pz88/vjjmDFjBgCgtrYW//jHPyxVRYNRQrdRXCf1AZs3o5+GAV1EM4ZhkJ2djX79+sHT01NpXbbeA7NUx5zznZ05ea+/+FeOfjXhqS4TOfKs9tx5R8OHDwcAHDlyxKD9w8PDMWjQIKxcuRLp6elcVs0kRELVr3JZuxzuJaav+jZFRUUoLy8HALi5uSEwMJBdN3DgQPbxyZMnzV43Y9FICRsWvWMnCtLXQnLlitFxiGEuX76MqqoqxMXFqazzOGXcFwKX78v5mt5G7W8ribzN4MGDAQAnTpwwaH9XV1ccOHAAEyZMQHJyMhiGQXJyMpdVNKkWOYOfc+8fZh/Zn+YQaHOn3aDfjj/CPdpNs33HBgcHU0K3caErW79kzi9ZjJaaWr32fShjB3g8NV0xorObN28CAPy5PFWh4Ra32t4rdeuKioqMHqTGA/CxmmRuibrow83NDSKRiH1/2gsKCkJJSYle8VatWoXo6Gj2h1vd5csoXKe+597xtMmA9z+Ak5+fzmUVlEmx6aD6v+WOp0Henu4FHzeB0rImqQJfHqlDcXkLAGBIsBNG9RfpXH5XwnSYE6L9c1v8brSphC6TySDjeHSoLmW2/99ay+73wUcAAKlUiuKUFEjL76rdLuDd9+Dt4wMAaGlp0VjujYaeOHBGAr5AoHabjlpkUvx+HWjSUNWhPevg4eXTaRyFXM7WwdwMKbOyshIA4OXlxUkdgle9Cfe+fdWuS0lJUVmWkZGB6upqLFu2TGVdx96HvpaMFyO4u/qenbnrYghvb29UVKiOA5g+fbra5erk5+cjLy8PPj4+6NOnD9dV5FxNgxyfH67F7Xutf0ePhokwfbjYJpOTqbT/8V1dXa20rqamRu12tsKmEvrhw4fh4uJikbIzMzMtUq5BZWu5hrL0lK4zwfXE9Rs3Ot2qtKknFOg86f9x0w34+9KZQKdirV8wfVws094NDQ2db9SBs3NrwmtsbOSkDtfXvANA/eH21NRUlWXZ2dkoLi5Wu85YGw/WA6hXe7jd3HUxRGNjo9rvi/fff1+n/Y8fP464uDj4+voiKysLYWFh7Dq3/v1V3qO2nrmxp0pCuwtV2rytZ67t1EfZvRZ8nlmL6noFeACeHOSCsZGW+b60Zn369MEDDzyAu3fvQiKRoKSkhD2Pfv78eXa7mJgYS1XRYDaV0MeNG2f2iSJkMhkyMzMxduxYODo6domyZTIZtvx0GcF9+mjsof9xXYaaBl0nDlVW0hwEABg7UKiyTiGXg/nrpkXau623rQ+/vw+lcn2JS15iAvp8vAEeHPX8jbF0ewVSn3KElye3t/E1JYVCgZqaGoSHhxu0f25uLsaPHw+RSISsrCxERkYaXSdGoYC8vvW8try5+X5dZS1oqasDAPBFIvAN+NwX/iXDF1m1aJQyEPCBOSPdMKiP9V5aaGnPPvssewXD//7v/2Lz5s04d+4cvv/+ewCAu7s7Zs6cackqGsSmErqjo6PZv+S7ctl8gQACvuro2IPnmjiJn3leitH9BRAJlV+bHJZ5zYaUFx4eDj6fj4KCApV1NTHDjBoYd2PZUgDcDI4b6FFk1MC41B9lAKx3hriOCgoKoFAolEYt6yM0NBSxsbFIT083OEZH0spKXPqf11SWV586ieq/PycPJj0PHwNmKTuQV8/eKU+uAHb+Voedv9UpbaPufHtX9eabb+LQoUPIy8vDd999h++++45dx+fzsWXLFnhzfGmhOdC1DEQvXCXzNtmX5bhy/RanMc3J09MTkZGRyM3NVRlgM3rRIk7KyEtMgLTJuHZPmjqEk7os3V6Bpmbzj2/Q16m/Ty3FxsYatL+Hhwf27dvHWTIn1kUsFuO3337DqlWrEBoaCqFQCE9PT4wfPx5Hjx7FrFmzLF1Fg9hUD51Ylj7JfHzU/VG1DMPgUH6zxm2LJT7oIWmEm6ttXlozZcoUpKamIicnR+3Ur1y4+MJCjaPfze313a0Dh6y5t56ZmQmBQICJEyearczOjqQ4+fkZfLSls7Z+Jc7ToLhdmZubG9555x288847lq4KZ6iHTnSiTzL3d1f+WPF4PPA7uVHn8eu2Owo3KSkJAoEAu3btUlnH6TX+am672jYQTRemTsD61MWUGhoasHfvXkyaNAkBAQGWrg4hZkMJnXQq56p+A768eLdVlg0NVR0A19HRS9wezjeXHj16YMaMGdi9ezfq61XnzHZ/TfW8qSG4+HGQNLyu8410YM298z179kAikWD58uWWrgohZkUJnXSqskm/S1+u1HRTWXayoPPzro8NsN3JL9asWQOJRILNmzerrAuOjIK3kbdj5KqnP7Bfb8SEdP7jShtrTuYtLS1Yu3Yt4uPjMWrUKEtXhxCzooROtLp007ABUCcK7ve2j1/tvOfd/py7Lerduzd27NgBsVisdn1g0vMIXPeuQbG5npp39kh3rJxo2PAZa07mQOvMfXPnzsWHH+p2BztC7AkNiiNalVYadpem2gbdzrt7uPAwPNQ+rpft7LpV7+7d4b1jJ/LmJ6o9H97Rg5Pi4TN9OlfVU9LNzxMbFgDLtld0Mrqh1eMhrogfaf0/uoKCgqxmYhtCzI0SOrEYW++VG6r9SPX8RS+xk40AgFP37hhgYE/eEO3naV+5uwIN7S5GeMBDgFVTLT+xDSFEN5TQiUaFxXcAcP+Fzgcwrosm844iP/3M0lVgpc82/eH0uIddTV4GIV0VJXSi0a1G7pP52AhHCHS84QshhBDdUUInGknV34zNYF31EDshhJgDJXRicj29BYjoZZl58AkhpKugy9aIyd2sknM+BzwhhBBllNCJRkKOj98cPNeEixcvcBuUEEIIAEroRIseLvc4j/lnSwj11gkhxAQooRONQgL9TRb74LkmFJdVmyw+IYR0NTQojljMlbsiXLnb1KVHv5978UUoGhvY50J/f4S/t57TMm7/+C9O47UX8NRUk8U21hvfVKJRen8ePD93Pt6c5s1pGQfOSDiN1x5ds0/0RQmdaPWgrwClFYZN/6qrg+eaEOr6J4KDQ01ajrXQNvWr9M4d5CUmAADcx4xBcOJ8M9bM9mmbyra8VoGl2ysAAMMGiPFMjLP5KkaIGdAhd6LVgB7mudysQNILx67Y7rl1hUKBqKgoTJgwQeM2lbdvtyZrHeZxB4DaI0fY5G7tCgsL4eDggE8//ZTz2Lq0bdnde1iq47z0AHDyUj2b3K2dKduW2BdK6KRTvqKGzjfiQPt5xG1NRkYG8vPzNd4YpHjrFpSufMOg2LaQ1ENCQjBnzhykpqaitraW09idte2uY7VY94thR5FsIambsm2JfaGETjo1OIzb846a2Oq5dLlcjrS0NMTGxmLo0KEq6wvPnsW948e1xojesZP9p44tJPUVK1agvLwcGzdu5CxmZ22bf/kGcq5LtcbYsMCX/aeOLSR1U7QtV2S1tbi562tcfO1VnH3uWZxf/DKKNn2CxtJSo2PXNSrww0kJ0r6vwqs7KrDq20psP1qLW1XGT2N57do1zJs3DwEBARAKhejevTvmzZuHwsJCo2NbCiV0ohNTJ9tHQ3Q9WGp99u/fj9LSUsybN0/t+rqPtN+b2335qzqVoy6pjx49GkFBQTrtb2oRERGIiorCtm3boFAotG6ra707a9svT7pr3f+5YboNWlOX1G21bc1JVl2Na2mpKM/MhLSiAkxLC1rq6lCdk4Orq/8PdVeuGBy7pkGBD/dV49jlJlRJFJArAEkTg7PFUny0rxqFf8kMjn369GkMGjQIu3btQllZGWQyGf766y/s2rULQ4YMwdmzZw2ObUmU0InOTJXUg1wr4Sa23QFKGRkZ4PF4mDZtmso6XXrWtZ0k/DZ+k6foWzWzmzFjBkpLS5GVlcVJPG1tq0vP+suTuo0Uf+IhJ73rZm7Gtm2pAT3mvMQErZ/hm7u/gbSi9X3wG/f/MHDzpwh88SWAxwMjlaJ021YwcvWnQ5Zur9D6Hv74hwRVktYfL7EDRFg72xsJsW7g8QCZHPjmP3WQKwzrCLz88suQSFp/7G3cuBESiQRbtmwBAFRXVyMpKcmguJZGCZ3oheuk/lh/AfoF9+A0pjkxDIPs7Gz069cPnp6eBsdp/eJM1PjlGb1jJ3pOtd5LxNoMHz4cAHDkyBGjY3HVtku3V2DZV5qTx4YFvpgU7WZwfHMxpm1PnTqF/v37Y926dZzVp6W+HtW5uQAAnqMjAp5+Gg6urvAePhyuYf0AANKKCtRe0H92yIZmBc4Vt55KcRQAkwaJIXbiY1AfJwT7tw7UrZIocPW2/r30mpoanDp1CgDg7OyMxYsXQywWY+HChezn7PTp0zh37pzesS2NEjrR2/goEbzEPE7iOAlt+6Ytly9fRlVVFR5++GGVddl6j0pW7W3wnZ01nle3RoMHDwYAnDhxwuhY2tr2i3/l6BWLUfNxFTnyNJ5Xt0bGtG14eDgGDRqElStXIj09nZP6NJaUAH/3vp38u4EvFLLrnHv1ZB83XL+ud+yblS1o63z7ugvg6HD/DQzwun/75eJy/RN6Y2Mj+5jH0/w9lpOj32fMGtB16MQgMSGthyiPXmxCs57jU/5fpJPWPyRbcvPmTQCAv7/qrHoep04aFduWEnkbNzc3iEQitl2Moa1tz9f0Niq2LSXyNsa0raurKw4cOIAJEyYgOTkZDMMgOTnZqPrIamrYxwIXF6V1fOf7p9BktTXQV13T/R+3LkLl7wpRu+d1jfofcvf390dAQABu376NhoYGbNq0Cc8++yy++eYbVFdXs9uVl5frHdvSbCqhy2QyyGSGD4QwtMz2/3eFstvKU2g499XeqP6tv8pbZFKcvAE0ahhwHPOgBO4eraPlFQyj8VrstjIt2d76qKysBAB4eXlxVxEeD9EZO9Qs1vwjSN26oqIiiwzq8vb2RkXF/cPbhtbbFG3LA/CxmmRuq20LAEFBQSgpKdErzqpVqxAdHY24uDh2Wd3lyyhcp7733vFU0ID3P+iwBaPxKQ88FJRJsemg+kvuOp4KeXu68vut8k2hFFt/PB4P6enpSExMBAAsWbIES5YsUdlO2O6Ig62wqYR++PBhuHT4JWgumZmZFinXUmX3cQGYv25C16t7eQCGaxt/JAHkesySaYnX3NCg//X2zn/3RNofxjNG8Ko34d63r9p1KSkpKssyMjJQXV2NZcuWqawz5ryzMRobG5X+Tg2tN9dtu2S8GMHd1Q++tNW2BYDp06erJHlN8vPzkZeXBx8fH/Tp08eoujh6eLCP5R3+duTtpjN28NB+JYI6bqL7qbqxWTmlN8ruP3dzNuxIX0JCAjw8PPDuu+/i7NmzcHFxwYgRI1BbW4ujR48CAAIDAw2KbUk2ldDHjRsHd3f9PxzGkMlkyMzMxNixY+HoaN7zvZYquyu+ZuB+b1sffn5+AICqqipO6nB9zTsA1B9uVzexSnZ2NoqLizVOumJuCoUCNTU1CA8PZ5cZWm+u23bjwXoA9WoPt9tq2wLA+++/r9P+x48fR1xcHHx9fZGVlYWwsDCl9W79+6t87tp65uo+jw5iMXgCARi5HM137kAhlbLn0ZvanRZw6ROM7t2FKu3e1jNX9364OPEg4ANyBVBRJ4eshWHPo5fdu3+OL9DP8O+IyZMnY/LkyezzpqYmtm2FQiFiY2MNjm0pNpXQHR0dzf4l35XL7mqv2ZDywsPDwefzUVBQwGld8hIT0OfjDfDg8lC+GRQUFEChUGDgwIFGxzJV2y7dXoHUpxzh5enR+cZWxJi2zc3Nxfjx4yESiZCVlYXIyEij6yNwcYHH4CGoPnUSjEyG299/j25TpqDu/HlIrl4FAAh9feEeEaF3bGchH1GBQpwpkkImB34+XY/xD7ngyi0Zrt9pTejernyEBRj2HXHhwgVcunQJI0eOhJeXFwoKCpCcnIwbN24AAJKSktgflLbEphI6IdbG09MTkZGRyM3NBcMwSudba2KGGTUw7saypQBsa3Bc2+VAXPRutLXtQI8iowbGpf4oA1BhU4PjjGnb0NBQxMbGIj09nZMfW216zp6NhuuFkFZUoPzwIZQfPsSu4wmFePD5heAJBFoiaDZlqCuKy6tRJVHgt0tN+O3S/Xs9OAqAOSPdIOAbdsi9sLAQM2fOVLsuNjYW69dze8dDc6HL1ggx0pQpU1BTU6NymcvoRYs4iZ+XmABpk23cuCYzMxMCgQATJ07kJJ6mtk2aOoST+Eu3V6Cp2fwDMA1hTNt6eHhg3759nCZzAHD09ETflFT4PvEEhL6+4AkEcHBzg+fgIQh762249etncGwPFz5eneiJkf1F8HblQ8AHxE48RAUKsXyiJ0K6GX4ELyQkBBMmTGCnfXVzc0NMTAw++eQTZGZmWmyslrGoh06IkZKSkrB69Wrs2rVL7XzjXLj4wkKNo9+tRUNDA/bu3YtJkyYhICCAk5jmaNvXd7deVmXNvXVTtK0udDk65Ojujl7zEoB5+t1vQJf2dnPmY/owV0wfplfoTkVEROCXX37hNqgVoB46IUbq0aMHZsyYgd27d6O+vl5pHaeHy9Vc6tc2cMsa7NmzBxKJBMuXL+90W13rra1tTZ2AbbVtSddFCZ0QDqxZswYSiQSbN29WWef+2muclGHN59JbWlqwdu1axMfHY9SoUZzG1ta2ScPrOCnDmnvnpmxbYl8ooRPCgd69e2PHjh0Qi8Uq64Ijo+A9cqRR8a05mQOts7rNnTsXH36o241m9KGtbQf2642YEOMmALHmZA6Ytm2JfaFz6IRwRNOoWQAITHoebk9ORMkbr+sd19qTOdA6W5kpr9fW1razR7pjTL9qpO/T/x7Z1p7MAdO3LbEf1EMnxEy8u3dvTc46zmP/4KR4m0jm1qCbnyc2LPDVeSrQx0NcbSKZE6IP6qETYmbtR6rnL3oJ8naDvZy6d8eAde9aolp2of087St3V6Ch+f66BzwEWDXVtibqIUQflNAJsaDITz8zeRkBT1n/fdRNIX226XvgcQ9ru4EBIeZFh9wJIYQQO0AJnRBCCLEDlNAJIYQQO0AJnRBCCLEDlNAJIYQQO0AJnRBCCLEDlNAJIYQQO0DXoRNiQedefBGKxgb2udDfH+Hvree0jANnJJzGa8+ar8N+45tKNErv36HOz52PN6d5c1rG7R//xWm89rrq/AHEcJTQCTGzvPmJam+FCgDSO3eQl9h6X2n3MWMQnDjfjDWzfcu2V0B9ywLltQos3V4BABg2QIxnYpzNVzFCzIAOuRPCAYVCgaioKEyYMEHjNpW3b7cmaw3JvKPaI0fY5G7tCgsL4eDggE8//ZTz2Lq0bdnde1iqJZl3dPJSPZvcrZ0p25bYF0rohHAgIyMD+fn5Gu+KVbx1C0pXvmFQbFtI6iEhIZgzZw5SU1NRW1vLaezO2nbXsVqs+0VuUGxbSOqmbFtiXyihE2IkuVyOtLQ0xMbGYujQoSrrC8+exb3jx7XGiN6xk/2nji0k9RUrVqC8vBwbN27kLGZnbZt/+QZyrku1xtiwwJf9p44tJHVTtC1XZLW1uLnra1x87VWcfe5ZnF/8Moo2fYLG0lKjY9c1KvDDSQnSvq/CqzsqsOrbSmw/WotbVfrfKreja9euYd68eQgICIBQKET37t0xb948FBYWGh3bUiihE2Kk/fv3o7S0FPPmzVO7vu6jD7Xu7778VZ3KUZfUR48ejaCgIJ32N7WIiAhERUVh27ZtUCgUWrfVtd6dte2XJ9217v/cMN0GBKpL6rbatuYkq67GtbRUlGdmQlpRAaalBS11dajOycHV1f+HuitXDI5d06DAh/uqcexyE6okCsgVgKSJwdliKT7aV43Cv2QGxz59+jQGDRqEXbt2oaysDDKZDH/99Rd27dqFIUOG4OzZswbHtiRK6IQYKSMjAzweD9OmTVNZp0vPuraThN/Gb/IUfatmdjNmzEBpaSmysrI4iaetbXXpWX95UrdR+E885KR33czN2LYtNaDHnJeYoPUzfHP3N5BWtL4PfuP+HwZu/hSBL74E8HhgpFKUbtsKRq7+dMjS7RVa38Mf/5CgStL64yV2gAhrZ3sjIdYNPB4gkwPf/KcOcoWuoyaUvfzyy5BIWn/sbdy4ERKJBFu2bAEAVFdXIykpyaC4lkYJnRAjMAyD7Oxs9OvXD56engbHaf3iTNT45Rm9Yyd6TrX+y5iGDx8OADhy5IjRsbhq26XbK7DsK83JY8MCX0yKdjM4vrkY07anTp1C//79sW7dOs7q01Jfj+rcXAAAz9ERAU8/DQdXV3gPHw7XsH4AAGlFBWovXNA7dkOzAueKW0+lOAqASYPEEDvxMaiPE4L9HQEAVRIFrt7Wv5deU1ODU6dOAQCcnZ2xePFiiMViLFy4kP2cnT59GufOndM7tqVRQifECJcvX0ZVVRUefvhhlXXZeo9KVu1t8J2dNZ5Xt0aDBw8GAJw4ccLoWNra9ot/5egVi+GpLhM58jSeV7dGxrRteHg4Bg0ahJUrVyI9PZ2T+jSWlAB/976d/LuBLxSy65x79WQfN1y/rnfsm5UtaOt8+7oL4Ohw/w0M8BKwj4vL9U/ojY2N7GMeT80H4285Ofp9xqwBXYdOiBFu3rwJAPD391dZ53HqpFGxbSmRt3Fzc4NIJGLbxRja2vZ8TW+jYttSIm9jTNu6urriwIEDmDBhApKTk8EwDJKTk42qj6ymhn0scHFRWsd3vn+Nv6y2Bvqqa7r/49ZFqJx0Re2e1zXqf8jd398fAQEBuH37NhoaGrBp0yY8++yz+Oabb1BdXc1uV15erndsS7OphC6TySCTGT4QwtAy2//fFcruiq/Z0DIrKysBAF5eXtxVhMdDdMYONYs19ybUrSsqKrLIoC5vb29UVNw/vG1ovU3RtjwAH6tJ5rbatgAQFBSEkpISveKsWrUK0dHRiIuLY5fVXb6MwnXqe+8dTwUNeP+DDlswGp/ywENBmRSbDqq/5K7jqZC3pyu/3yopWym2/ng8HtLT05GYmAgAWLJkCZYsWaKynbDdEQdbYVMJ/fDhw3Dp8EvQXDIzMy1SriXL7mqvuaGhofONOnD+uyfS/jCeMYJXvQn3vn3VrktJSVFZlpGRgerqaixbtkxlnTHnnY3R2Nio9HdqaL25btsl48UI7q5+djhbbVsAmD59ukqS1yQ/Px95eXnw8fFBnz59jKqLo4cH+1je4W9H3m46YwcP7VciqOMmup+qG5uVU3qj7P5zN2dDUjqQkJAADw8PvPvuuzh79ixcXFwwYsQI1NbW4ujRowCAwMBAg2Jbkk0l9HHjxsHdXf8PhzFkMhkyMzMxduxYODo6domyu+JrBu73tvXh5+cHAKiqquKkDtfXvANA/eF2dROrZGdno7i4WOOkK+amUChQU1OD8PBwdpmh9ea6bTcerAdQr/Zwu622LQC8//77Ou1//PhxxMXFwdfXF1lZWQgLC1Na79a/v8rnrq1nru7z6CAWgycQgJHL0XznDhRSKXsevandaQGXPsHo3l2o0u5tPXN174eLEw8CPiBXABV1cshaGPY8etm9+9egB/oZ/h0xefJkTJ48mX3e1NTEtq1QKERsbKzBsS3FphK6o6Oj2b/ku3LZXe01G1JeeHg4+Hw+CgoKOK1LXmIC+ny8AR5cHso3g4KCAigUCgwcONDoWKZq26XbK5D6lCO8PD0639iKGNO2ubm5GD9+PEQiEbKyshAZGWl0fQQuLvAYPATVp06Ckclw+/vv0W3KFNSdPw/J1asAAKGvL9wjIvSO7SzkIypQiDNFUsjkwM+n6zH+IRdcuSXD9TutCd3blY+wAMO+Iy5cuIBLly5h5MiR8PLyQkFBAZKTk3Hjxg0AQFJSEvuD0pbYVEInxNp4enoiMjISubm5YBhG6XxrTcwwowbG3Vi2FIBtDY5ruxyIi96NtrYd6FFk1MC41B9lACpsanCcMW0bGhqK2NhYpKenc/Jjq03P2bPRcL0Q0ooKlB8+hPLDh9h1PKEQDz6/EDyBQEsEzaYMdUVxeTWqJAr8dqkJv11qYtc5CoA5I90g4Bt2yL2wsBAzZ85Uuy42Nhbr13N7x0NzocvWCDHSlClTUFNTo3KZy+hFiziJn5eYAGlTU+cbWoHMzEwIBAJMnDiRk3ia2jZp6hBO4i/dXoGmZvMPwDSEMW3r4eGBffv2cZrMAcDR0xN9U1Lh+8QTEPr6gicQwMHNDZ6DhyDsrbfh1q+fwbE9XPh4daInRvYXwduVDwEfEDvxEBUoxPKJngjpZvgRvJCQEEyYMIGd9tXNzQ0xMTH45JNPkJmZabGxWsaiHjohRkpKSsLq1auxa9cutfONc+HiCws1jn63Fg0NDdi7dy8mTZqEgIAATmKao21f3916WZU199ZN0ba60OXokKO7O3rNSwDm6Xe/AV3a282Zj+nDXDF9mF6hOxUREYFffvmF26BWgHrohBipR48emDFjBnbv3o36+nqldZweLldz29W2gVvWYM+ePZBIJFi+fHmn2+pab21ta+oEbKttS7ouSuiEcGDNmjWQSCTYvHmzyjr3117jpAxrPpfe0tKCtWvXIj4+HqNGjeI0tra2TRpex0kZ1tw7N2XbEvtCCZ0QDvTu3Rs7duyAWCxWWRccGQXvkSONim/NyRxondVt7ty5+PBD3W40ow9tbTuwX2/EhBg3AYg1J3PAtG1L7AudQyeEI5pGzQJAYNLzcHtyIkreeF3vuNaezIHW2cpMeb22tradPdIdY/pVI32f/vfItvZkDpi+bYn9oB46IWbi3b17a3LWMs1oew9OireJZG4Nuvl5YsMCX52nAn08xNUmkjkh+qAeOiFm1n6kev6ilyBvN9jLqXt3DFj3riWqZRfaz9O+cncFGprvr3vAQ4BVU21roh5C9EEJnRALivz0M5OXEfewq8nLsEbps03fAw94yvrvUU+6DjrkTgghhNgBSuiEEEKIHaCETgghhNgBSuiEEEKIHaCETgghhNgBSuiEEEKIHaCETgghhNgBSuiEEEKIHaCETgghhNgBSuiEEEKIHaCETgghhNgBSuiEEEKIHaCETgghhNgBSuiEEEKIHaCETgghhNgBSuiEEEKIHaCETgghhNgBB0tXQBcMwwAAamtrzV62TCZDQ0MDamtr4ejo2CXK7oqvGQDq6uoA3P+8EUKILbGJhN72RdurVy8L14R0BXV1dfDw8LB0NQghRC88xga6IwqFArdv34abmxt4PJ6lq0PsFMMwqKurQ0BAAPh8OhtFCLEtNpHQCSGEEKIddUMIIYQQO0AJnRBCCLEDlNAJIYQQO0AJnRBCCLEDlNAJIYQQO0AJnRBCCLEDlNAJIYQQO0AJnRBCCLEDlNAJIYQQO0AJnRBCCLEDlNAJIYQQO0AJnRBCCLEDlNAJIYQQO0AJnRBCCLEDlNAJIYQQO0AJnRBCCLEDlNAJIYQQO0AJnRBCCLEDlNAJIYQQO/D/AQf12qYYrL6DAAAAAElFTkSuQmCC" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 0, 2 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 1 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 1 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 0, 4 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 0, 2 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 4 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 4 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 4 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 0, 2 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 0, 4 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 1 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 1 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 3 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 0, 4 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 0, 2 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 1 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 4 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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rq5nFixerbW/Tvrwnn3ySqaioYP744w82uIvFYkalUrH7t79dsqNJkyax9bl06RIjl8uZP//8k9m3bx+TmppqoVYklnDr1i21z8aJEyf07r9w4UJ233HjxjFXr15lrl27xjz66KPs9oULF7L7mxrQATCvvPIKU1VVxezZs0ftB0N7uvJnGPP+Rh566CHm0qVLTH19PXP27FnjGrV9/Uw+khBilwwN6PX19WxvKTIykmEYhsnLy2P3e/bZZ9k8u3XrpjdPAMzEiRPZ/du28fl8pqqqit0eExPDpt24cYPdri+gL126lAHA8Hg8ZtasWcy7777L7N27l7l58ybXTUcs7ObNm2qfmZMnT+rdv/3n7tSpU+z2/Px8dnv37t3Z7aYG9MDAQHbVSYZhGH9/fwYA4+rqqpaPvoBu6t8IAKa8vLyzpjOIRaZ+5ZpKpcL169fh6elJq1MRi2EYBnV1dQgODub8Hn5bSUxM1DlXvLu7O2bPno2PP/4YhYWFOHXqFL788ks2/bnnnmMft5/TXhepVKqxrUuXLmpz4Le/DampqcmQl4CUlBQUFRVh//792LVrFzurJJ/Px8yZM/Hll19qTENM7FNAQAC8vLzYa99nz55FdHS0zv3bf+7aLyTV/rq1ts8m0+FOiZaWFr316tOnD7vqJND6Oa2srDRqkTBT/0YCAwPRo0cPg8vRxyEC+vXr1zl7wY5mQVRk5ztZyNZThTYr25b+/PNPdO/e3dbVsIoFCxbg448/BgBs374dX3/9NQDgvvvuQ0xMDLtfUFAQrl27Bh6Ph2vXrqFr164aeXX8EgUMW/xH33ag9Z7fvXv3orq6GqdPn0ZJSQl27dqFgwcP4uuvv0Z8fDyefPLJzl8ssTk+n49Jkybhq6++AtA62PGpp57S+oOspaWF/dwBrQPR2tZ6aH/LWFBQEPvY1dUVzc3NaiPFVSoVrly5ordehn5O9TH1b0TX4k6mcIiA7unpCQAoKSlhH1uLQqHAkSNH8NBDD5k0+5y5ZRdu3YLQnj0hsGKPUalSobSkBGkHDtrkNduqvauqqtC3b1+rf8ZsafDgwRgyZAjy8vKwefNmtiezYMECtf0ef/xxbNq0CQzDIDExERs2bEDv3r1RWVmJ33//HZ9++ilmzZqFhIQEk+rh7+/PfkkXFBSo3X+8bds2AK3ryw8ePBgxMTEoLS3FwYMHAQDl5eUmlUlsIyUlBT/88ANkMhkKCwsxZcoUrFq1CgMHDoRMJsPvv/+ODz74AO+99x7i4+PZH5yvvvoqPvvsM/B4PLz66qtsfvHx8ezj0NBQXLx4EVKpFMePH8fw4cPx/vvvG7RktyH8/f1RWVkJqVSKa9euqa0fYum/EUM4REBv+7Xk5+cHLy8vq5atUCjg7u4Of39/mwQ3oVAIdzc38K14SlGlVEIoFNrsNduqvds402WdHTt2YMeOHRrbS0pK2NOWCxYsQF5eHhvMPTw8MGvWLLX909LScOTIEZw9exaZmZkYOHCgRp7m9JLvv/9+duW5tlOwsbGxyM7ORk5Ojs6poV1cXDRuuyP2rU+fPvjPf/6DGTNmQCqVYu/evdi7d6/WfdPS0vDzzz+jqKgIBw4cUAugbXm1n0QpISEBK1euBND6mZJIJJDJZHB3d+dk9cn7778fP/74I+rr69mzeG2XtSz9N2II57hQSAgx2VNPPaV2VuLJJ5/UOEvh5+eHnJwcrFq1CtHR0ZBIJOy6DWPHjsW7775r1roEqampmD17NoKCgjR+UE2dOhUzZsxAWFgYPD09IRAIEBAQgLi4OPz88892N5sY6dxDDz2E8+fPY9WqVRg+fDh8fHwgFArRrVs3PPTQQ9iwYQP69OmDwMBA5ObmIjk5GQMHDoRYLIarqysGDBiAFStWIDc3FwEBAWy+y5cvR3JyMkJCQiASidC/f3/s2bMHQ4cO5aTeH374ISZNmgR/f3+NNEv/jRjCIaZ+ra2thbe3N2pqamzSQ9+3bx8mTJhgk97q7+vXoU+fPlbvoRcVFeHBfyy3yWu2VXtXVlYiICDAJp8zQggxF/XQCSGEECdAAZ0QQghxAhTQCSGEECdAAZ0QQghxAhTQCSGEECdAAZ0QQghxAhTQCSGEECdAAZ0QQghxAhTQCSGEECdAAZ0QQghxAhTQCSGEECdAAZ0QQghxAhTQCSGEECdAAZ0QQghxAi62rgAhd7NTzz8PVWMD+1wUFITwd9bZpC6vfVWJRvmd1ZQDvfh4fZofp2Vc//7fnObXXvDjUy2WNyGOgAI6IVaWPy8RYBitafKbN5GfmAAA8Hr4YYQlzrNoXZZul0J7TYCKWhWWbJcCAEYMlOCp4W4WrQshxDx0yp0QK6m8fr01WOsI5h3VHj7MBneu3bh1G0v0BPOOjp+rZ4M7IcQ+UUAnhAMqlQpRUVGYMGGC1vTSrVtQvuI1k/LmOqjv/LUWa39SmnSsvQf14uJiuLi44KOPPrJ1VQixOjrlTggHMjIyUFhYiG3btmmkFRcUoO7oUb3HR+/4gn2sLYDnJyao7WOqwvNXkHvZS+8+G+YHsI+1BfAl26Vq+9iT3r17Y/bs2UhNTcWcOXPg5aX/tVpTTUEBqvNy0VBSAkV1NVTNzRD6+sK9Zy90mTQJbj16mJy3rEmFQ6caUFbRgmtVLVD8/XttWG9XzB7lydErcC4ymQxr167Ft99+i7KyMri7u2PEiBFYsWIFRo0aZevqmYR66ISYSalUIi0tDbGxsRg2bJhGet377+k93mvZywaVoy3QjxkzBqGhoQYdDwCfHdcf4J4ZITMoH22B3ti6WMry5ctRUVGBjRs32roqaip+zkTVb7+h6epVKGUyMAoF5LduoTrnOC6kvImaU6dMzru6XoVfzjWhtOJOMCe61dfXY/To0Vi9ejUuXbqE5uZm3L59G/v378eYMWOwe/duW1fRJBTQCTHTvn37UF5ejrlz52qkGXK6vLaTgN8mcPIUY6umxpDT5Z8d9zAor0cHu5pVF0uKiIhAVFQUtm3bBpVKZXI+5eXlRu2fn5ig9/3mCQTwGz0afV5/A1HbPsWAt9+BR79+rYlKJW7861udxy7ZLtX7/rmJeIgdKMbc0R4YF0mDFzuzatUq5OfnAwBmzJiBW7du4eeff4a7uztUKhWee+45VFVV2biWxqOAToiZMjIywOPxMG3aNJPzaA0GiToDQvSOL9B9qnVuy1qyXYqln+sOIBvmB2BStH2fxp0xYwbKy8uRlZVl0vE5OTkYMGAA1q5dy1mdQp9/ASHPJMGjTx/wRSKIu3RB8JNPselNN26YnLe/pwBTh3tgSJgY3hL6WteHYRh8/vnn7PN33nkHgYGBeOSRRzBjxgwAQG1tLf75z3/aqoomo3eeEDMwDIPs7Gz0798fPj4+amnZRg/M0hxzzndz4+Ta+af/zjWuJjzNbWIhz26vnXc0cuRIAMDhw4dNOj48PBwxMTFYsWIF0tPTOamTwE2z56ySy9nHIj9u7/kn2pWUlKCiogIA4OnpiZCQEDZt0KBB7OPjx49bvW7mokFxhJjh/PnzqKqqQlxcnEaad455XwhcBPI2p2t6mnW8owTyNkOGDAEAHDt2zKTjPTw8sH//fkyYMAHJyclgGAbJyclcVhEqhQI3vv2GfR7w6FhO8yfa3bx5k33c8Ue4t7e31v0cBQV0Qsxw9epVAEBQUBB3mfJ4iM7YoWWzlm6znrSSkhKzB6nxAHygJZjboi7G8PT0hFgsZt+f9kJDQ1FWVmZUfitXrkR0dDT7w63u/HkUr9Xec+942WTg+nfhGhiotk3Z2IgrGzegvrgYAOB7/wMIHNsa0ItuyLHpQK3WvDteBnlzui/8PQVGvRZyB9NhToj2z/V9xu2VQwV0hUIBhUJh9TLb/2+LspVmDOwxRVt5tnzNtizbGJWVlQAAX19fTuoQtvJ1ePXtqzUtJSVFY1tGRgaqq6uxdOlSjbSOvQ9jLR4vQVhX7QOsrF0XU/j5+UEq1RwHMH36dK3btSksLER+fj78/f3Rq1cvTuqluH0bxe+uR9OffwIAAh56GN0TEhwygDii9j++q6ur1dJqamq07ucoHCqgHzp0CO7u7jYpOzMz0yblYmA4CmxUrs1eM2zT3g0NDZ3v1IHb39dFGxsbOanD5dVvAdB+uj01NVVjW3Z2NkpLS7WmmWvjgXoA9VpPt1u7LqZobGzU+n2xfv16g44/evQo4uLiEBAQgKysLPRrG5EOwHPAAI33qK1nru9SSePVq7j87nooqqoAHg9dp01Hl0mT1Pbp01Wk0eZtPXNHu/Rhj3r16oV77rkHt27dgkwmQ1lZGXsd/fTp0+x+w4cPt1UVTeZQAX3cuHFWnyhCoVAgMzMTY8eOhVAovCvKvhtfM3Cnt22MwL9PpXJ9i0t+YgJ6fbAB3hz1/M2xZLsUqY8L4evj3fnOdkKlUqGmpgbh4eEmHZ+Xl4fx48dDLBYjKysLkZGRZtep7sIFlGz4AMqGBvBcXHBv0rPw+3vwnrlUDIOG5tbTxfKWO6eNW5QMZE2tZ9zEQh5cBHQWAACefvpp9g6G//3f/8XmzZtx6tQpfPtt662DXl5emDlzpi2raBKHCuhCodDqX/J3c9l322s2pbzw8HDw+XwUFRVppNUMH2HWwLgrS5cA4GZw3CDvErMGxqV+rwBgvzPEdVRUVASVSqU2atkYffr0QWxsLNLT003Oo6O/vv83lH+fBWJaWlD2ycco++RjtX20XW83xG2ZCv/3r9sa20+WyHGypPXH5qwHPTC8j9iEmjuf119/HQcPHkR+fj6++eYbfPPNncGJfD4fW7ZsgZ8D3nVAt60RYgYfHx9ERkYiLy9PY4DNmIULOSkjPzEB8qYms/JImjqUk7os2S5FU7P1xzcYKycnBwAQGxtr0vHe3t7Yu3cvZ8Gc2BeJRIJffvkFK1euRJ8+fSASieDj44Px48fjyJEjePLJJ21dRZM4VA+dEHs0ZcoUpKamIjc3V+vUr1w4+9wCnaPfre3VXa0Dh+y5t56ZmQmBQICJEydarczOzqT0WWH6bW+dtbW/p8Cu3w975OnpibfeegtvvfWWravCGeqhE2KmpKQkCAQC7Ny5UyONy3vJtS272jYQzRCW/sI3pi6W1NDQgD179mDSpEkIDg62dXUIsRoK6ISYqVu3bpgxYwZ27dqF+vp6jXSvV17hpBwufhwkjazjoCb23TvfvXs3ZDIZli1bZuuqEGJVFNAJ4cDq1ashk8mwefNmjbSwyCj4mbkcI1c9/UH9e2J4b5FZedhzMG9pacGaNWsQHx+P0aNH27o6hFgVBXRCONCzZ0/s2LEDEolEa3pI0rMIWfu2SXlzetoewKxRXlgx0bThM/YczIHWmfvmzJmD994zbAU7QpwJDYojhCOd3bfq17Ur/HZ8gfx5iVqvh3d076R4+E+fzlX11HQJ9MGG+cDS7VItS8JoeqS3B+JH2f8tT6GhoXYzsQ0h1kYBnRAraz9SvXDhC1C2u+7u2rUrBprYkzdF+3naV+ySoqH5Tto93gKsnGr7iW0IIYahgE6IDUV+9HHnO1lJ+izLn04Pftw6a7oTcjeia+iEEEKIE6CATgghhDgBCuiEEEKIE6CATgghhDgBCuiEEEKIE6CATgghhDgBCuiEEEKIE6D70AmxoVPPPw9VYwP7XBQUhPB31tmkLq99VYlG+Z154wK9+Hh9mh+nZew/KeM0v/bi7vOwWN6EOAIK6IRYmb6pX+U3byI/MQEA4PXwwwhLnGfRuuib+rWiVoUl26UAgBEDJXhquJtF60IIMQ+dcifESiqvX28N1gbM4w4AtYcPs8Gdazdu3cYSA+dxB4Dj5+rZ4E4IsU8U0AnhgEqlQlRUFCZMmKA1vXTrFpSveM2kvLkO6jt/rcXan5QmHWvvQb24uBguLi746KOPbF0VQqyOTrkTwoGMjAwUFhZi27ZtGmnFBQWoO3pU7/Htl0jVFsDzExM4WUa18PwV5F720rtP+yVStQXwJduldruMau/evTF79mykpqZizpw58PLS/1qtSVFbi5s//gcNV66goawMjEIBAPB78EGEPLvArLzP/inHqbJmlFe0oLZRheYWBj7ufNwb4IKxke4I9qOv+vbkcjneeOMN/Pe//8WJEydQV1cHAIiNjUV2drZtK2cG6qETYialUom0tDTExsZi2LBhGul17+tfm9tr2csGlaMt0I8ZMwahoaEGHQ8Anx3XH+CeGWHYoDVtgd7YuljK8uXLUVFRgY0bN9q6KmoUt2+j4tAh1BcXs8GcK7+eb0ROUTNuVCtR38ygRQlI61Q4WSLHuv9U49xVOaflObqGhga88847yM7OZoO5M6CAToiZ9u3bh/LycsydO1cjzZDT5bWdBPw2gZOnGFs1NYacLv/suGEjxR8d7GpWXSwpIiICUVFR2LZtG1Qqlcn5lJeXG7V/fmKC3vdb4O6OwHHjEPL88wiaFG9U3ku2S/W+fwI+MLyPK5ZO8Ma6uf5YOdUXYUGtvXIVA+w9Ua/z2LuRUCjECy+8gM8//9zufviZg87DEGKmjIwM8Hg8TJs2zeQ8WgMBD9AxTI2L0+2GWrJdCh4DMDzt6fZ6ur29GTNmYOXKlcjKysLYsWONPj4nJwcPP/ww3njjDbz2mmljHzpyDQxE99lzAADSw4c5ybNNwmhPiEV3+mf3eAsweagE7+2tAQDcrDFtzISzkkgk7DiLAwcO2Lg23KEeOiFmYBgG2dnZ6N+/P3x8fNTSso0emKUZzPlubpwE80//nWtcTbQEc7GQ5xDBHABGjhwJADhsYuAMDw9HTEwMVqxYgfT0dC6rZhHtg3kbRbsY7iuhr/q7AfXQCTHD+fPnUVVVhbi4OI0075zjZuXNZa/8dE1Ps453lEDeZsiQIQCAY8eOmXS8h4cH9u/fjwkTJiA5ORkMwyA5OZnLKlpUi5LBj3l3TrOPGkBzCNwNKKATYoarV68CAIKCgrjLlMdDdMYOLZt1nAPXkVZSUmL2IDUegA+0BHNb1MUYnp6eEIvF7PvTXmhoKMrKyozKb+XKlYiOjmZ/uNWdP4/itdp77h2vow9c/y5cAwMNLqvohhybDtRqTet4Hf3N6b7w9xSobWuSq/DZ4TqUVrQAAIaGuWL0ALHB5RPH5VABXaFQQMHx6FBDymz/v72XLZfLse6nJtyu134t9tX/USAwUH9vy9FeM9dlG6OyshIA4Ovry0kdwla+Dq++fbWmpaSkaGzLyMhAdXU1li5dqpHW8RKAsRaPlyCsq/aenbXrYgo/Pz9IpZoDyaZPn651uzaFhYXIz8+Hv78/evXqxXUVOVfToMQnh2px/Xbr+fYH+okxfaRE7w8w4jwcKqAfOnQI7u7uNik7MzPTJuUaWvZvt4dCwYg63e/tg0IArQNlHvL9Xe8fur2/Zq41NDR0vlMHbm6tAa+xsZGTOlxe/RYA7afbU1NTNbZlZ2ejtLRUa5q5Nh6oB1Cv9XS7tetiisbGRq3fF+vXrzfo+KNHjyIuLg4BAQHIyspCv3792DTPAQM03qO2nrm5l0r6dBVptHlbz1zfpY8bt1vwSWYtqutV4AF4LMYdYyNt831JbMOhAvq4ceOsPlGEQqFAZmYmxo4dC6FQaHdlf3hQhrIK00awHrn9IABg/Rxvo8u1FFuW3dbbNkbg36dSq6qqOK1LfmICen2wAd4c9fzNsWS7FKmPC+Hr4935znZCpVKhpqYG4eHhJh2fl5eH8ePHQywWIysrC5GRkWbXiVGpoKxvva6tbG6+U1dFC1r+vheaLxaDb8LnvvgvBT7NqkWjnIGAD8we5YmYXvZ7a6E9aDtLU1t75/KGQqFgt7u7u9usA2kqhwroQqHQ6l/y9lw2V9Nw/mNnDVbN9IKXu3oP3x5fs6XLNFZ4eDj4fD6Kioo00mqGjzBrYNyVpUsAcDM4bpB3iVkD41K/VwCw3xniOioqKoJKpcKgQYNMOr5Pnz6IjY1Fenq6yXl0JK+sxLl/vKKxvTrnOKr//pzcm/Qs/EeNMjrv/fn17Ep5ShXwxS91+OIX9QlTtF1vv5sFahnXcOzYMXZ7SkqK3ZxtMhTdy+CguJ5T+41/1iIzp5TTPO8GPj4+iIyMRF5eHpgOi66MWbiQkzLyExMgb2oyK4+kqUM5qcuS7VI0NVt/fIOxcnJyALRO5WkKb29v7N27l7NgTog1OFQPnbQyJpi371ExDIOlGbpPK+8954GoPg3w9bRNr9xRTZkyBampqcjNzdU69SsXzj63QOfod2t7dVfrGAx77q1nZmZCIBBg4sSJViuzszMproGBJp9t6aytX4rzMSnfu1nHH+DOgHroDsaYYD44RP0UOo/Hg5Cv/0O8+gfjB4bd7ZKSkiAQCLBz506NNE5neNPyBdQ2EM0Qlg7AxtTFkhoaGrBnzx5MmjQJwcHBtq4OIVZDAd2BfHrwulH7R91TobHtpcd8Oj3ure+13wNLtOvWrRtmzJiBXbt2ob5ec85sr1c0r5uagosfB0kjuVmIwp5757t374ZMJsOyZctsXRVCrIoCugM5fb3z29La25GrOSr5/R9rOj3u9cftZ8lJR7F69WrIZDJs3rxZIy0sMgp+Jgx0ao+rnv6g/j0xvLdxn6OO7DmYt7S0YM2aNYiPj8fo0aNtXR1CrIoCuoP41x+GLWvZ0bs/3mYfv/PDbR1Lf9xhz1/W9qxnz57YsWMHJBKJ1vSQpGcRsvZtk/LmemGWWaO8sGKiacNn7P3zcfXqVcyZMwfvvWfYCnaEOBMaFOcgfrtg2ijncqnSoOvuIQEueHmSj0llkFYzZ87Um+7XtSv8dnyB/HmJWq+Hd3TvpHj4T5/OVfXUdAn0wYb5wNLt0k5/5AHAI709ED/K/qcPDQ0NdbhbjQjhCgV0Yve9LmfTfqR64cIX2MlGAMC1a1cMNLEnb4r287Sv2CVFw535TnCPtwArp9p+YhtCiGEooDuAX05eB6D9VK45hHxgfSIFc1uK/OhjW1eBlT7L8p+FuPs8LF4GIXcrCugOILvEA9rWyjbHuwm+cBHQrFGEEOIsKKA7gLpG7oK5ruUwCSGEODYK6HeR+/uKMfMBOuVJCCHOiG5bu4scu9TE+RzwhBBC7AMFdAfg5aZ7zXJTLNkuRdbvBZzmSQghxLYooDuA2F6mTSqjz3+KumMp9dYJIcRpUEB3ALHRlllggkFrb/34OQrshBDi6GhQHMHXOcDXOVKaYMYGTj3/PFSNd1a4EwUFIfyddZyWcf37f3OaX3vBj0+1WN7meu2rSjTK79whEujFx+vT/DgtY/9J7s+etaF79omxKKA7iNEDxPj1vGnTvxpqyXYp5kRLMTg8zKLl3O30Tf0qv3kT+YkJAACvhx9GWOI8K9bM8embyraiVsUOCh0xUIKnhrtZr2KEWAGdcncQ00ZY59f6zvwAvP0fWj7VWCqVClFRUZgwYYLOfSqvX28N1gbM4w4AtYcPs8Hd3hUXF8PFxQUfffQR53kb0rY3bt3GEgPnpQeA4+fqHeaOD0u2LXEuFNAdSGSw3CrlSGu5nZXubpCRkYHCwkKdC4OUbt2C8hWvmZS3IwT13r17Y/bs2UhNTUVtLbc/CDtr252/1mLtT0qT8naEoG7JtiXOhQK6A3nmfywzOK6jdXM011EnuimVSqSlpSE2NhbDhg3TSC8uKMDto0f15hG94wv2nzaOENSXL1+OiooKbNy4kbM8O2vbwvNXkHtZ/w/dDfMD2H/aOEJQt0TbckVRW4urO7/E2VdeRsEzT+P0ohdRsulDNJaXm513XaMK3x2XIe3bKry8Q4qVX1di+5FaXKtqMTvvS5cuYe7cuQgODoZIJELXrl0xd+5cFBcXm523rVBAdzCWHrj2+hR3i+bvjPbt24fy8nLMnTtXa3rd+/rX5vZa9rJB5WgL6mPGjEFoaKhBx1taREQEoqKisG3bNqhUKr37Glrvztr2s+Neeo9/ZoRhg9a0BXVHbVtrUlRX41JaKioyMyGXSsG0tKClrg7Vubm4uOr/UHfhgsl51zSo8N7eavx6vglVMhWUKkDWxKCgVI7391aj+C+FyXmfOHECMTEx2LlzJ27cuAGFQoG//voLO3fuxNChQ1FQUGBy3rZEAd0BWSqoTxxYj0BfCujGysjIAI/Hw7Rp0zTSDOlZ13YS8NsETp5ibNWsbsaMGSgvL0dWVhYn+elrW0N61p8dN2zsyaODXY2um7WZ27blJvSY8xMT9H6Gr+76CnJp6/sQOO5/MGjzRwh5/gWAxwMjl6N821YwSu2XQ5Zsl+p9D7//rwxVstYfL7EDxVgzyw8JsZ7g8QCFEvjqtzooVaZdHnzxxRchk7X+2Nu4cSNkMhm2bNkCAKiurkZSUpJJ+doaBXQHxXVQXz3TC2OHh3Ca592AYRhkZ2ejf//+8PHxMTmf1i/ORJ1fntE7vkD3qfZ7i1ibkSNHAgAOHz5sdl5cte2S7VIs/Vx38NgwPwCToj1Nzt9azGnbnJwcDBgwAGvXruWsPi319ajOywMA8IRCBD/xBFw8POA3ciQ8+vUHAMilUtSeOWN03g3NKpwqbb2UIhQAk2IkkLjyEdPLFWFBQgBAlUyFi9eN76XX1NQgJycHAODm5oZFixZBIpFgwYIF7OfsxIkTOHXqlNF52xoFdAe2YX4Aencx/87DDfMD4OEu4qBGd5/z58+jqqoK9913n0ZattGjkjV7G3w3N53X1e3RkCFDAADHjh0zOy99bfvpv3ONyovRMnuyWMhzqLkXzGnb8PBwxMTEYMWKFUhPT+ekPo1lZcDfvW/XoC7gi+58h7j16M4+brh82ei8r1a2oK3zHeAlgNDlzhsY7Htn2efSCuMDemNjI/uYx9M9rXZurnGfMXtA96E7uJfifAAAb+yuRK2Ry6x+MM9f7weadO7q1asAgKCgII0075zjZuXtSIG8jaenJ8RiMdsu5tDXtqdrepqVtyMF8jbmtK2Hhwf279+PCRMmIDk5GQzDIDk52az6KGpq2McCd/VLdXy3O/f4K2prYKy6pjvfZe4i9e8ocbvnpiwtHRQUhODgYFy/fh0NDQ3YtGkTnn76aXz11Veorq5m96uoqDA6b1tzqICuUCigUJg+EMLUMtv/b69lvzmtdXCQXC7Hu/uaUSnTPnBmRZwS/v6ts2W1tGgfKeoor9lSZRujsrISAODr68tdRXg8RGfs0LJZ948vbWklJSU2GdTl5+cHqfTO6W1T622JtuUB+EBLMHfUtgWA0NBQlJWVGZXPypUrER0djbi4OHZb3fnzKF6rvffe8VLQwPXvdtiD0fmUBx6Kbsix6YD2W+46Xgp5c7r6+60RstXyNh6Px0N6ejoSExMBAIsXL8bixYs19hOJHO+spUMF9EOHDsHd3fqDtq40dMeWH85bvVwA6OUOZGZmGnVMlAiAjhku/750ZBBjy+WSMWW3tLTg3p8z4dLQoDX9zCOPwsu781vxGnQcr4/b3z2R9qfxzBG28nV49e2rNS0lJUVjW0ZGBqqrq7F06VKNNHOuO5ujsbFR7e/U1Hpz3baLx0sQ1lX77HCO2rYAMH36dI0gr0thYSHy8/Ph7++PXr16mVUXYbu/KWWHvx1lu+mMXbz134mgjaf4TqhubFYP6Y2KO889TVyJMiEhAd7e3nj77bdRUFAAd3d3PPjgg6itrcWRI0cAACEhjjemyKEC+rhx4+DlZfyHwxwKhQJbfjiPsF69wBcIOj+AQyqlEsxfVzF27FgIhUKrlatQKJCZmWn1co0t+/yyZVDWdT7RRkTWz+zj8G2f6uyNtfUIjREYGAgAqKqqMvpYbS6vfguA9tPt2iZWyc7ORmlpqc5JV6xNpVKhpqYG4eHh7DZT68112248UA+gXuvpdkdtWwBYv369QccfPXoUcXFxCAgIQFZWFvr166eW7jlggMbnrq1nru3z6CKRgCcQgFEq0XzzJlRyOXsdvandZQH3XmHo2lWk0e5tPXNt74e7Kw8CPqBUAdI6JRQtDHsd/cbtO2cWQwJN/36aPHkyJk+ezD5vampi21YkEiE2NtbkvG3FoQK6UCi0eoBpwxcIIOBbfwyhErZ73bZsb31lX1q1CvXFRSble/bZ1ttRtH1BmfJaw8PDwefzUVRkWn10yU9MQK8PNsCby1P5VlBUVASVSoVBgwaZnZel2nbJdilSHxfC18exJlAyp23z8vIwfvx4iMViZGVlITIy0uz6CNzd4T1kKKpzjoNRKHD922/RZcoU1J0+DdnFiwAAUUAAvCIijM7bTcRHVIgIJ0vkUCiBH0/UY/xgd1y4psDlm60B3c+Dj37Bpn0/nTlzBufOncOoUaPg6+uLoqIiJCcn48qVKwCApKQk9gelI3GogE4IVzOm5ScmYMCHmyA284yPj48PIiMjkZeXB4Zh1Hr/NcNHmDUw7srSJQAca3Bc2+1AXPRu9LXtIO8SswbGpX6vAOBYKwya07Z9+vRBbGws0tPTOfmx1ab7rFlouFwMuVSKikMHUXHoIJvGE4lw77MLwDPxzOaUYR4orahGlUyFX8414ZdzdxanEgqA2aM8IeCbdsq9uLgYM2fO1JoWGxuLdeu4XfHQWui2NeIwuJ7+9PxLi3Bh3z6z85kyZQpqamo0bnMZs3Ch2XkDra9b3mTZlfa4kpmZCYFAgIkTJ3KSn662TZo6lJP8l2yXoqnZ+gMwTWFO23p7e2Pv3r2cBnMAEPr4oG9KKgIefRSigADwBAK4eHrCZ8hQ9HvjTXj2729y3t7ufLw80QejBojh58GHgA9IXHmIChFh2UQf9O5i+tnD3r17Y8KECey0r56enhg+fDg+/PBDZGZm2mSsFheoh04cgjHBvH2PlmEYFMxL1Llv4z93oy4mBp5abo0yVFJSElatWoWdO3dqnW+cC2efW6Bz9Lu9aGhowJ49ezBp0iQEB3Oz7oA12vbVXa23Vdlzb90SbWsIQ84OCb280GNuAjDXuB/chrS3pxsf00d4YPoIo7LuVEREBH766SduM7UD1EMnds+YYO4zdIjacx6PB7jo/91a/L/LTapXm27dumHGjBnYtWsX6uvr1dI4PV2uZdnVtoFb9mD37t2QyWRYtmxZp/saWm99bWvpAOyobUvuXhTQiV07+6Fxq0vJR9yvsa3vytc7Pe7MsqVGldPR6tWrIZPJsHnzZo00r1deMSvvNvZ8Lb2lpQVr1qxBfHw8Ro8ezWne+to2aWQdJ2XYc+/ckm1LnAsFdGLX5H/PFW2oBi0/AC79X1qnx0W8/4FR5XTUs2dP7NixAxKJRCMtLDIKfqNGmZW/PQdzoHVWtzlz5uC99wxbaMYY+tp2UP+eGN7bvAlA7DmYA5ZtW+Jc6Bo6sVt/fmlaELuYlop+KakAgAuvv671VHV7XAVLXaNmASAk6Vl4PjYRZa+9anS+9h7MgdbZyix5v7a+tp01ygsP969G+l7j18i292AOWL5tifOgHjqxW9Kff+58Jy0arlxhl31s/FP3kpFuPXtaNVj6de3aWp6B8+ffOyneIYK5PegS6IMN8wMMngr0kd4eDhHMCTEG9dDJXcmWgbL9SPXChS9A2W6wl2vXrhi49m1bVMsptJ+nfcUuKRqa76Td4y3AyqmONVEPIcaggE7s0mUTe+edcnFB9GefWyZvE0R+9LHFywh+3P7XUbeE9FmW74HH3edh8TIIMRQFdGKXFBxM+NJR5GefQ9DJLWyEEOKo6NuN2KUWE9ZQ1snOJ2QhhBAuUEAnTi1gzEPoMX++ratBCCEWR6PciVOTZh/hfA54QgixRxTQiV0SeHO7tGV+YgLyDh3iNE9CCLEnFNCJXXKNm8B5noKvdiJfz0IthBDiyCigE7vU69FHLZMxwyA/MQHlv/9umfwJIcRGaFAcuStVbtuKym1bbT4T26nnn4eqsYF9LgoKQvg76zgtY/9JGaf5tWfP92G/9lUlGuV3pv0N9OLj9Wl+nJZx/ft/c5pfe3fr/AHEdBTQid0KHDsOFZmWve6dn5gA0YsvInzYcIuWo1bmvESd88vLb95kB/F5PfwwwhLnWa1ezmDpdil0zdxfUavCku1SAMCIgRI8NdzNehUjxArolDuxW93nzLFKOfLNm3HuVeMXTWlPpVIhKioKEybovvZfef16a7DuZLGYNrWHDzvMCP3i4mK4uLjgo48+4jxvQ9r2xq3bWKInmHd0/Fw9G9ztnSXbljgXCujEromGDrNKOc03/zLr+IyMDBQWFupcFat06xaUr3jNpLwdIaj37t0bs2fPRmpqKmpraznNu7O23flrLdb+pDQpb0cI6pZsW+JcKKATuxa+aJFVyjFnJjmlUom0tDTExsZi2DDNHyDFBQW4ffSo/vJ3fMH+08YRgvry5ctRUVGBjRs116Q3VWdtW3j+CnIvy/XmsWF+APtPG0cI6pZoW64oamtxdeeXOPvKyyh45mmcXvQiSjZ9iMZy3SsdGqquUYXvjsuQ9m0VXt4hxcqvK7H9SC2uVRm/VG5Hly5dwty5cxEcHAyRSISuXbti7ty5KC4uNjtvW6GATuyepQeu9TZzENq+fftQXl6OuXPnak2ve/89vcd7LXvZoHK0BfUxY8YgNDTUoOMtLSIiAlFRUdi2bRtUKpXefQ2td2dt+9lxL73HPzPCsAGB2oK6o7atNSmqq3EpLRUVmZmQS6VgWlrQUleH6txcXFz1f6i7cMHkvGsaVHhvbzV+Pd+EKpkKShUga2JQUCrH+3urUfyXwuS8T5w4gZiYGOzcuRM3btyAQqHAX3/9hZ07d2Lo0KEoKCgwOW9booBOHIKlgrrbzCfhGRRkVh4ZGRng8XiYNm2aRpohPevaTgJ+m8DJU4ytmtXNmDED5eXlyMrK4iQ/fW1rSM/6s+OGjcJ/dLCr0XWzNnPbttyEHnN+YoLez/DVXV9BLm19HwLH/Q8Gbf4IIc+/APB4YORylG/bCkap/XLIku1Sve/h9/+VoUrW+uMldqAYa2b5ISHWEzweoFACX/1WB6XK0FET6l588UXIZK0/9jZu3AiZTIYtW7YAAKqrq5GUlGRSvrZGAZ04DK6D+sDNm9Ffz0ArQzAMg+zsbPTv3x8+Pj4m59P6xZmo88szescX6D7V/m9jGjlyJADg8OHDZufFVdsu2S7F0s91B48N8wMwKdrT5PytxZy2zcnJwYABA7B27VrO6tNSX4/qvDwAAE8oRPATT8DFwwN+I0fCo19/AIBcKkXtmTNG593QrMKp0tZLKUIBMClGAokrHzG9XBEWJAQAVMlUuHjd+F56TU0NcnJyAABubm5YtGgRJBIJFixYwH7OTpw4gVOnThmdt61RQCcOJXrHF/Do35+TfFw9zP8SP3/+PKqqqnDfffdppGUbPSpZs7fBd3Oz+b3yxhgyZAgA4NixY2bnpa9tP/13rlF5MTzNbWIhT+d1dXtkTtuGh4cjJiYGK1asQHp6Oif1aSwrA/7ufbsGdQFfJGLT3Hp0Zx83XL5sdN5XK1vQ1vkO8BJA6HLnDQz2FbCPSyuMD+iNjY3sYx5Pywfjb7m5xn3G7AHdh04cTp8VyQCA04sXoaXGuFG/gzN26P0jNtbVq1cBAEFaTtt75xw3K29HCuRtPD09IRaL2XYxh762PV3T06y8HSmQtzGnbT08PLB//35MmDABycnJYBgGycnJZtVHUXNniWOBu7taGt/tzj3+ChOWQq5ruvPj1l2k/vcqbve8rtH4U+5BQUEIDg7G9evX0dDQgE2bNuHpp5/GV199herqana/iooKo/O2NYcK6AqFAgqF6QMhTC0TAFQ6rgNZUluZtnrN1i7X2LL7v/s+AEAul6M0JQXyilta9wt++x34+fsDAFpadI+ONeX1VlZWAgB8fX2NPlYnHeu36/shoi2tpKTEJoO6/Pz8IJXeOb1tar0t0bY8AB9oCeaO2rYAEBoairKyMqPyWblyJaKjoxEXF8duqzt/HsVrtffeO14KGrj+3Q57MDqf8sBD0Q05Nh3Q/uO746WQN6erv98aIVstb+PxeDykp6cjMbF1XYfFixdj8eLFGvuJ2p1xcBQOFdAPHToE9w6/BK2hlzvA/HUV1g/prTIzM++qck0qe9QonUnlf18v60xDQ0PnO3Xg9ndPpP1pPHOErXwdXn37ak1LSUnR2JaRkYHq6mosXbpUI82c687maGxsVPs7NbXeXLft4vEShHXVPjuco7YtAEyfPl0jyOtSWFiI/Px8+Pv7o1evXmbVRdhuRURlh78dZbvpjF289d+JoI2n+E6obmxWD+mNijvPPd1MO9uWkJAAb29vvP322ygoKIC7uzsefPBB1NbW4siRIwCAkJAQk/K2JYcK6OPGjYOXl/EfDnMoFApkZmZi7NixEAqFd0XZd+NrBu70to0RGBgIAKiqquKkDpdXvwVA++l2bROrZGdno7S0VOekK9amUqlQU1OD8PBwdpup9ea6bTceqAdQr/V0u6O2LQCsX7/eoOOPHj2KuLg4BAQEICsrC/369VNL9xwwQONz19Yz1/Z5dJFIwBMIwCiVaL55Eyq5nL2O3tTusoB7rzB07SrSaPe2nrm298PdlQcBH1CqAGmdEooWhr2OfuP2nbNsIYGmf0dMnjwZkydPZp83NTWxbSsSiRAbG2ty3rbiUAFdKBRa/Uv+bi77bnvNppQXHh4OPp+PoqIiTuuSn5iAXh9sgDeXp/KtoKioCCqVCoMGDTI7L0u17ZLtUqQ+LoSvj3fnO9sRc9o2Ly8P48ePh1gsRlZWFiIjI82uj8DdHd5DhqI65zgYhQLXv/0WXaZMQd3p05BdvAgAEAUEwCsiwui83UR8RIWIcLJEDoUS+PFEPcYPdseFawpcvtka0P08+OgXbNp3xJkzZ3Du3DmMGjUKvr6+KCoqQnJyMq5cuQIASEpKYn9QOhKHCuiE2BsfHx9ERkYiLy8PDMOoXW+tGT7CrIFxV5YuAeBYg+Pabgfionejr20HeZeYNTAu9XsFAKlDDY4zp2379OmD2NhYpKenc/Jjq033WbPQcLkYcqkUFYcOouLQQTaNJxLh3mcXgCcQ6MlBtynDPFBaUY0qmQq/nGvCL+ea2DShAJg9yhMCvmmn3IuLizFz5kytabGxsVi3jtsVD62FblsjxExTpkxBTU2Nxm0uYxYu5CT//MQEyJuaOt/RDmRmZkIgEGDixImc5KerbZOmDuUk/yXbpWhqtv7gT1OY07be3t7Yu3cvp8EcAIQ+PuibkoqARx+FKCAAPIEALp6e8BkyFP3eeBOeZtxi6u3Ox8sTfTBqgBh+HnwI+IDElYeoEBGWTfRB7y6mn8Hr3bs3JkyYwE776unpieHDh+PDDz9EZmamTcZqcYF66ISYKSkpCatWrcLOnTu1zjfOhbPPLdA5+t1eNDQ0YM+ePZg0aRKCg4M5ydMabfvqrtbbquy5t26JtjWEIWeHhF5e6DE3AZhr3HoDhrS3pxsf00d4YPoIo7LuVEREBH766SduM7UD1EMnxEzdunXDjBkzsGvXLtTX16ulcXq6XMuyq20Dt+zB7t27IZPJsGzZsk73NbTe+trW0gHYUduW3L0ooBPCgdWrV0Mmk2Hz5s0aaV6vvMJJGfZ8Lb2lpQVr1qxBfHw8Ro8ezWne+to2aWQdJ2XYc+/ckm1LnAsFdEI40LNnT+zYsQMSiUQjLSwyCn567pM3hD0Hc6B1Vrc5c+bgvfcMW2jGGPradlD/nhje27wJQOw5mAOWbVviXOgaOiEc0TVqFgBCkp6F52MTUfbaq0bna+/BHGidrcyS92vra9tZo7zwcP9qpO81fo1sew/mgOXbljgP6qETYiV+Xbu2BmcD55K/d1K8QwRze9Al0Acb5gcYPBXoI709HCKYE2IM6qETYmXtR6oXLnwBynaDvVy7dsXAtW/bolpOof087St2SdHQfCftHm8BVk51rIl6CDEGBXRCbCjyo48tXkbcfR4WL8Mepc+yfA88+HH7X6Oe3D3olDshhBDiBCigE0IIIU6AAjohhBDiBCigE0IIIU6AAjohhBDiBCigE0IIIU6AAjohhBDiBCigE0IIIU6AAjohhBDiBCigE0IIIU6AAjohhBDiBCigE0IIIU6AAjohhBDiBCigE0IIIU6AAjohhBDiBCigE0IIIU6AAjohhBDiBFxsXQFDMAwDAKitrbV62QqFAg0NDaitrYVQKLwryr4bXzMA1NXVAbjzeSOEEEfiEAG97Yu2R48eNq4JuRvU1dXB29vb1tUghBCj8BgH6I6oVCpcv34dnp6e4PF4tq4OcVIMw6Curg7BwcHg8+lqFCHEsThEQCeEEEKIftQNIYQQQpwABXRCCCHECVBAJ4QQQpwABXRCCCHECVBAJ4QQQpwABXRCCCHECVBAJ4QQQpwABXRCCCHECVBAJ4QQQpwABXRCCCHECVBAJ4QQQpwABXRCCCHECVBAJ4QQQpwABXRCCCHECVBAJ4QQQpwABXRCCCHECVBAJ4QQQpwABXRCCCHECVBAJ4QQQpzA/wNVgeCOzMmURAAAAABJRU5ErkJggg==" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 1 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 2 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 0, 4 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 1 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 0, 4 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 0, 4 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 0, 4 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 0, 4 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 0, 2 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 3 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 0, 4 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 0, 4 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 1 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 4 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 0, 2 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 0, 2 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 0, 4 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 1 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 2 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 0, 4 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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mzTffVNreRrG86dOnM+Xl5cyvv/7KJnehUMjI5XL2eMXpku1NmDCBrc+NGzcYiUTC/PHHH8yRI0eY1NRUI7UiMYaysjKl98Z///tfjccvXryYPXbs2LHMnTt3mLt37zLPPvssu33x4sXs8fomdADMW2+9xVRVVTGHDh1S+sKgqKP4DGPY/5GnnnqKuXHjBlNfX89cvXpVt0ZVrJ/ejySEWCRtE3p9fT3bW4qIiGAYhmFycnLY415++WU2pr+/v8aYAJjx48ezx7dt4/P5TFVVFbt98ODB7L779++z2zUl9OTkZAYAw+PxmBkzZjAffvghc/jwYaa0tJTrpiNGVlpaqvSeuXjxosbjFd93ly9fZrfn5uay23v16sVu1zeh+/j4sHedZBiG8fLyYgAwjo6OSnE0JXR9/48AYEpKSjprOq0YZelXrsnlcty7dw8ikYjuTkWMhmEY1NXVwc/Pj/M5/OaSmJjY4Vrxzs7OmDlzJrZv3468vDxcvnwZX375Jbt/4cKF7O+Ka9p3pKKiQmVbjx49lNbAV5yG1NTUpM1TwKpVq1BQUICjR49i//797KqSfD4f06ZNw5dffqmyDDGxTN7e3nBzc2OvfV+9ehVRUVEdHq/4vlO8kZTidWt1702m3UyJlpYWjfUKCQlh7zoJtL5PKysrdbpJmL7/R3x8fNC7d2+ty9HEKhL6vXv3OHvChHTmjz/+QK9evcxdDZN45ZVXsH37dgBAWloavv76awDAY489hsGDB7PH+fr64u7du+DxeLh79y569uypEqv9hyig3c1/NG0HWuf8Hj58GNXV1bhy5QoKCwuxf/9+HD9+HF9//TXi4+Mxffr0zp8sMTs+n48JEybgq6++AtA62PHFF19U+4WspaWFfd8BrQPR2u71oDhlzNfXl/3d0dERzc3NSiPF5XI5bt++rbFe2r5PNdH3/0hHN3fSh1UkdJFIBAAoLCxkfzcVqVSKU6dO4amnntJr9TlrLLsrPmeg9Ra6/fr1M/l7zJweffRRDBkyBDk5Odi6dSvbk3nllVeUjps0aRI+/fRTMAyDxMREbN68GX379kVlZSX+/e9/44svvsCMGTMwZ84cverh5eXFfkhfunRJaf7xzp07AbTeX/7RRx/F4MGDUVRUhOPHjwMASkpK9CqTmMeqVavwww8/QCwWIy8vDxMnTsSaNWswcOBAiMVi/Pvf/8Ynn3yCjz76CPHx8ewXzrfffhu7du0Cj8fD22+/zcaLj49nfw8MDMT169dRUVGB8+fPY/jw4fj444+1umW3Nry8vFBZWYmKigrcvXtX6f4hxv4/ohVOTtwbWU1NDQOAqampMXnZEomEOXToECORSLpM2V3xOTMMw1RUVJjtfcalzq6hA8r3CNixY4fSPldXV6a2tlYpZmVlJRMWFqYxpuL9F9q2aXMtk2EY5o033lCJ1zbad/78+R2WaWdnx+Tm5nLbgMToTp48yXh7e2t8P+Xm5jJlZWVMSEhIh8eEhIQw5eXlbNx169ax+3g8HuPq6soArSPJ27/vFK+htx9Z3tGYjrYBmoo/bWNSuPo/YgjbuFBICNHbiy++qHRWYvr06SpnKTw9PXHhwgWsWbMGUVFRcHFxYe/bMGbMGHz44YcG3ZcgNTUVM2fOhK+vr8rpzsmTJyMhIQHBwcEQiUQQCATw9vZGXFwcfv75Z4tbTYx07qmnnkJ+fj7WrFmD4cOHw8PDA/b29vD398dTTz2FzZs3IyQkBD4+PsjOzkZKSgoGDhwIoVAIR0dHDBgwAMuXL0d2dja8vb3ZuMuWLUNKSgoCAgLg4OCA/v3749ChQxg6dCgn9f773/+OCRMmwMvLS2Wfsf+PaMMqln6tra2Fu7s7ampq4ObmZtKypVIpjhw5gnHjxpnl9LM5yu6KzxloXVva29vbLO8zQggxFPXQCSGEEBtACZ0QQgixAZTQCSGEEBtACZ0QQgixAZTQCSGEEBtACZ0QQgixAZTQCSGEEBtACZ0QQgixAZTQCSGEEBtACZ0QQgixAZTQCSGEEBtACZ0QQgixAZTQCSGEEBtACZ0QQgixAXbmrgAhXdnlRYsgb2xg/3bw9UXY+5vMUpd3vqpEo+Th3ZR93PhYOcWT0zLuff9PTuMp8ps02WixCbEGlNAJMbHcuYkAw6jdJyktRW7iHACA29NPIzhxrlHrkpxWAfU1Acpr5UhKqwAAjBjogheHOxm1LoQQw9Apd0JMpPLevdZk3UEyb6/25Ek2uXPtftkDJGlI5u2d/72eTe6EEMtECZ0QDsjlckRGRmLcuHFq9xft+Bwly9/RKzbXSX3fmVps/Emm12MtPanfvHkTdnZ22LZtm7mrQojJ0Sl3QjiQnp6OvLw87Ny5U2XfzUuXUHf2rMbHR+3Zy/6uLoHnJs5ROkZfefm3kX3LTeMxm+d5s7+rS+BJaRVKx1iSvn37YubMmUhNTcWsWbPg5qb5uZpSzaVLqM7JRkNhIaTV1ZA3N8O+Wzc49wlCjwkT4NS7t96xxU1ynLjcgOLyFtytaoH0z+9rw/o6YuYoEUfPwLaIxWJs3LgRBw8eRHFxMZydnTFixAgsX74co0aNMnf19EI9dEIMJJPJsHr1akRHR2PYsGEq++s+/kjj492WLNWqHHWJPiYmBoGBgVo9HgB2ndec4OaPEGsVR12i17UuxrJs2TKUl5djy5Yt5q6KkvKfM1D1yy9ounMHMrEYjFQKSVkZqi+cx7VV76Lm8mW9Y1fXy3H69yYUlT9M5qRj9fX1GD16NNatW4cbN26gubkZDx48wNGjRxETE4MDBw6Yu4p6oYROiIGOHDmCkpISzJ49W2WfNqfLaztJ+G18np+oa9WUaHO6fNd5V61iPfuoo0F1Mabw8HBERkZi586dkMvlescpKSnR6fjcxDkaX2+eQADP0aMRsvKviNz5BQb87X24hoa27pTJcP8fBzt8bFJahcbXz8mBh+iBQswe7YqxETR4sTNr1qxBbm4uACAhIQFlZWX4+eef4ezsDLlcjoULF6KqqsrMtdQdJXRCDJSeng4ej4cpU6boHaM1GSR2mBCi9uxFr8mmmZaVlFaB5N0dJ5DN87wxIcqyT+MmJCSgpKQEmZmZej3+woULGDBgADZu3MhZnQIXvYqA+QvgGhICvoMDhD16wG/6i+z+pvv39Y7tJRJg8nBXDAkWwt2FPtY1YRgGu3fvZv9+//334ePjg2eeeQYJCQkAgNraWnzzzTfmqqLe6JUnxAAMwyArKwv9+/eHh4eH0r4snQdmqY455zs5cXLt/It/ZutWE57qNqE9z2Kvnbc3cuRIAMDJkyf1enxYWBgGDx6M5cuXY8OGDZzUSeCk2nOWSyTs7w6e3M75J+oVFhaivLwcACASiRAQEMDuGzRoEPv7+fPnTV43Q9GgOEIMkJ+fj6qqKsTFxansc79g2AcCF4m8zZWaPgY93loSeZshQ4YAAM6dO6fX411dXXH06FGMGzcOKSkpYBgGKSkpXFYRcqkU9w9+y/7t/ewYTuMT9UpLS9nf238Jd3d3V3uctaCETogB7ty5AwDw9fXlLiiPh6j0PWo2q+k2a9hXWFho8CA1HoBP1CRzc9RFFyKRCEKhkH19FAUGBqK4uFineCtWrEBUVBT7xa0uPx83N6rvube/bDLwgw/h6OOjtE3W2IjbWzaj/uZNAEC3x5+Az5jWhF5wX4JPj9Wqjd3+Msi7U7vBSyTQ6bmQh5h2a0Io/q3pPW6prCqhS6VSSKVSk5ep+G9XKLsrPmd9y6ysrAQAdOvWjZM6BK9YCbd+/dTuW7Vqlcq29PR0VFdXIzk5WWVf+96Hrt6MdUFwT/UDrExdF314enqiokJ1HMDUqVPVblcnLy8Pubm58PLyQlBQECf1kj54gJsffoCmP/4AAHg/9TR6zZljlQnEGil++a6urlbaV1NTo/Y4a2FVCf3EiRNwdnY2S9kZGRlmKdecZXe159zQ0ND5Qe04/XldtLGxkZM63Fq3FoD60+2pqakq27KyslBUVKR2n6G2HKsHUK/2dLup66KPxsZGtZ8XH3zwgVaPP3v2LOLi4uDt7Y3MzEyEto1IByAaMEDlNWrrmWu6VNJ45w5uffgBpFVVAI+HnlOmoseECUrHhPR0UGnztp65tV36sERBQUHo3r07ysrKIBaLUVxczF5Hv3LlCnvc8OHDzVVFvVlVQh87dqzJF4qQSqXIyMjAmDFjYG9v3yXK7orPGXjY29aFz5+nUrme4pKbOAdBn2yGO0c9f0MkpVUgdZI9unm4d36whZDL5aipqUFYWJhej8/JyUFsbCyEQiEyMzMRERFhcJ3qrl1D4eZPIGtoAM/ODo8seBmefw7eM5ScYdDQ3Hq6WNLy8LRxi4yBuKl16p7Qngc7AZ0FAICXXnqJncHwl7/8BVu3bsXly5dx8GDr1EE3NzdMmzbNnFXUi1UldHt7e5N/yHflsrvac9anvLCwMPD5fBQUFKjsqxk+wqCBcbeTkwBwMzhukHuhQQPjUr+XArDcFeLaKygogFwuVxq1rIuQkBBER0djw4YNesdo73/f/xOyP88CMS0tKP5sO4o/2650jLrr7dp4IJbjvX88UNl+sVCCi4WtXzZnPOmK4SFCPWpue1auXInjx48jNzcX3377Lb799uHgRD6fj88//xyeVjjrgKatEWIADw8PREREICcnR2WATczixZyUkZs4B5KmJoNiLJg8lJO6JKVVoKnZ9OMbdHXhwgUAQHR0tF6Pd3d3x+HDhzlL5sSyuLi44PTp01ixYgVCQkLg4OAADw8PxMbG4tSpU5g+fbq5q6gXq+qhE2KJJk6ciNTUVGRnZ6td+pULVxe+0uHod1N7e3/rwCFL7q1nZGRAIBBg/PjxJiuzszMpIcv1n/bWWVt7iQQW/XpYIpFIhLVr12Lt2rXmrgpnqIdOiIEWLFgAgUCAffv2qezjci65utuutg1E04axP/B1qYsxNTQ04NChQ5gwYQL8/PzMXR1CTIYSOiEG8vf3R0JCAvbv34/6+nqV/W5vvcVJOVx8OVgwso6Dmlh27/zAgQMQi8VYsmSJuatCiElRQieEA+vWrYNYLMbWrVtV9gVHRMLTwNsxctXTH9S/D4b3dTAohiUn85aWFqxfvx7x8fEYPXq0uatDiElRQieEA3369MGePXvg4uKidn/AgpcRsPFvesXm9LQ9gBmj3LB8vH7DZyw5mQOtK/fNmjULH32k3R3sCLElNCiOEI50Nm/Vs2dPeO7Zi9y5iWqvh7f3yIR4eE2dylX1lPTw8cDmeUByWoWaW8KoeqavK+JHWf6Up8DAQItZ2IYQU6OEToiJKY5Uz1v8KmQK190de/bEQD178vpQXKd9+f4KNDQ/3NfdXYAVk82/sA0hRDuU0Akxo4ht2zs/yEQ2zDD+6XS/Saa5pzshXRFdQyeEEEJsACV0QgghxAZQQieEEEJsACV0QgghxAZQQieEEEJsACV0QgghxAZQQieEEEJsAM1DJ8SMLi9aBHljA/u3g68vwt7fZJa6vPNVJRolD9eN83HjY+UUT07LOHpRzGk8RXGPuRotNiHWgBI6ISamaelXSWkpchPnAADcnn4awYlzjVoXTUu/ltfKkZRWAQAYMdAFLw53MmpdCCGGoVPuhJhI5b17rclai3XcAaD25Ek2uXPtftkDJGm5jjsAnP+9nk3uhBDLRAmdEA7I5XJERkZi3LhxavcX7fgcJcvf0Ss210l935labPxJptdjLT2p37x5E3Z2dti2bZu5q0KIydEpd0I4kJ6ejry8POzcuVNl381Ll1B39qzGxyveIlVdAs9NnMPJbVTz8m8j+5abxmMUb5GqLoEnpVVY7G1U+/bti5kzZyI1NRWzZs2Cm5vm52pK0tpalP74LzTcvo2G4mIwUikAwPPJJxHw8isGxb76hwSXi5tRUt6C2kY5mlsYeDjz8Yi3HcZEOMPPkz7q2xOLxdi4cSMOHjyI4uJiODs7Y8SIEVi+fDlGjRpl7urphXrohBhIJpNh9erViI6OxrBhw1T2132s+d7cbkuWalWOukQfExODwMBArR4PALvOa05w80doN2hNXaLXtS7GsmzZMpSXl2PLli3mrooS6YMHKD9xAvU3b7LJnCtn8htxoaAZ96tlqG9m0CIDKurkuFgowaZ/VeP3OxJOy7N29fX1GD16NNatW4cbN26gubkZDx48wNGjRxETE4MDBw6Yu4p6oYROiIGOHDmCkpISzJ49W2WfNqfLaztJ+G18np+oa9WUaHO6fNd57UaKP/uoo0F1Mabw8HBERkZi586dkMvlescpKSnR6fjcxDkaX2+BszN8xo5FwKJF8J0Qr1PspLQKja+fgA8MD3FE8jh3bJrthRWTuyHYt7VXLmeAw/+t7/CxXdGaNWuQm5sLAEhISEBZWRl+/vlnODs7Qy6XY+HChaiqqjJzLXVHCZ0QA6Wnp4PH42HKlCl6x2hNBokdJoSoPXvRa7Jpbj2alFaB5N0dJ5DN87wxIUpkkrroKyEhASUlJcjMzNTr8RcuXMCAAQOwceNGzurk6OODXjNnwXPk43Dw5HY64JzRIsx4UoQ+vvZwsOOhu7sAzw91YfeX1ug3ZsIWMQyD3bt3s3+///778PHxwTPPPIOEhAQAQG1tLb755htzVVFvlNAJMQDDMMjKykL//v3h4eGhtC9L54FZqmPO+U5OnFw7/+Kf2brVhKe6TWjPs9hr5+2NHDkSAHDy5Em9Hh8WFobBgwdj+fLl2LBhA5dVMwqhg+pHuVQhh3dzoY/6NoWFhSgvLwcAiEQiBAQEsPsGDRrE/n7+/HmT181QNFKCEAPk5+ejqqoKcXFxKvvcLxj2gcBFIm9zpaaPQY+3lkTeZsiQIQCAc+fO6fV4V1dXHD16FOPGjUNKSgoYhkFKSgqXVTSqFhmDH3MenmYfNYDWEGhTWlrK/t7+S7i7u7va46wFJXRCDHDnzh0AgK+vL3dBeTxEpe9Rs1lNt1nDvsLCQoMHqfEAfKImmZujLroQiUQQCoXs66MoMDAQxcXFOsVbsWIFoqKi2C9udfn5uLlRfc+9/WWTgR98CEcfH63LKrgvwafHatXua38Z5N2p3eAlEihta5LIsetkHYrKWwAAQ4MdMXqAUOvyuxKm3ZoQin9reo9bKqtK6FKpFFKOR4dqU6biv12h7K74nPUts7KyEgDQrVs3TuoQvGIl3Pr1U7tv1apVKtvS09NRXV2N5ORklX3tex+6ejPWBcE91ffsTF0XfXh6eqKiQnUcwNSpU9VuVycvLw+5ubnw8vJCUFAQ11XkXE2DDJ+dqMW9B63n258IFWLqSBerTE7Govjlu7q6WmlfTU2N2uOshVUl9BMnTsDZ2dksZWdkZJilXHOW3dWec0NDQ+cHtePk1JrwGhsbOanDrXVrAag/3Z6amqqyLSsrC0VFRWr3GWrLsXoA9WpPt5u6LvpobGxU+3nxwQcfaPX4s2fPIi4uDt7e3sjMzERoaCi7TzRggMpr1NYzN/RSSUhPB5U2b+uZa7r0cf9BCz7LqEV1vRw8AM8NdsaYCPN8XlqyoKAgdO/eHWVlZRCLxSguLmavo1+5coU9bvjw4eaqot6sKqGPHTvW5AtFSKVSZGRkYMyYMbC3t+8SZXfF5ww87G3rwufPU6lcT3HJTZyDoE82w52jnr8hktIqkDrJHt083Ds/2ELI5XLU1NQgLCxMr8fn5OQgNjYWQqEQmZmZiIiIMLhOjFwOWX3rdW1Zc/PDukpb0FJXBwDgC4Xg6/G+v/k/Kb7IrEWjhIGAD8wcJcLgIMudWmhuL730EjuD4S9/+Qu2bt2Ky5cv4+DBgwAANzc3TJs2zZxV1ItVJXR7e3uTf8h35bK72nPWp7ywsDDw+XwUFBSo7KsZPsKggXG3k5MAcDM4bpB7oUED41K/lwKw3BXi2isoKIBcLlcatayLkJAQREdHY8OGDXrHaE9SWYnf/+8tle3VF86j+s/3ySMLXoaXHquUHc2tZ++UJ5MDe0/XYe/pOqVj1F1v76pWrlyJ48ePIzc3F99++y2+/fZbdh+fz8fnn38OT46nFpoCzWUgxAAeHh6IiIhATk6OygCbmMWLOSkjN3EOJE1NBsVYMHkoJ3VJSqtAU7Ppxzfo6sKFCwCA6OhovR7v7u6Ow4cPc5bMiWVxcXHB6dOnsWLFCoSEhMDBwQEeHh6IjY3FqVOnMH36dHNXUS9W1UMnxBJNnDgRqampyM7OVrv0KxeuLnylw9Hvpvb2/taBQ5bcW8/IyIBAIMD48eNNVmZnZ1IcfXz0PtvSWVu/EeehV9yuTCQSYe3atVi7dq25q8IZ6qETYqAFCxZAIBBg3759Kvu4nEuu7rarbQPRtGHsBKxLXYypoaEBhw4dwoQJE+Dn52fu6hBiMpTQCTGQv78/EhISsH//ftTXq66Z7faW6nVTfXDx5WDByLrOD9KCJffODxw4ALFYjCVLlpi7KoSYFCV0Qjiwbt06iMVibN26VWVfcEQkPA28HSNXPf1B/ftgeF8Hg2JYcjJvaWnB+vXrER8fj9GjR5u7OoSYFCV0QjjQp08f7NmzBy4uLmr3Byx4GQEb/6ZXbE5P2wOYMcoNy8frN3zGkpM50Lpy36xZs/DRR9rdwY4QW0KD4gjhSGfzVj179oTnnr3InZuo9np4e49MiIfX1KlcVU9JDx8PbJ4HJKdVqLkljKpn+roifpTlLx8aGBhoMQvbEGJqlNAJMTHFkep5i19lFxsBAMeePTFQz568PhTXaV++vwIND9c7QXd3AVZMNv/CNoQQ7VBCJ8SMIrZtN3cVWBtmGP90etxjrkYvg5Cuiq6hE0IIITaAEjohhBBiAyihE0IIITaAEjohhBBiAyihE0IIITaAEjohhBBiAyihE0IIITaA5qETYkaXFy2CvLGB/dvB1xdh72/itIx73/+T03iK/CZNNlpsQ73zVSUaJQ/XwfNx42PlFE9Oyzh6UcxpPEU0Z5/oihI6ISamaelXSWkpchPnAADcnn4awYlzTVgz66dpKdvyWjmS0ioAACMGuuDF4U6mqxghJkCn3AnhgFwuR2RkJMaNG9fhMZX37rUmay3WcQeA2pMn2eRu6W7evAk7Ozts27aN89jatO39sgdI0nJdegA4/3s9m9wtnTHbltgWSuiEcCA9PR15eXkd3hikaMfnKFn+jl6xrSGp9+3bFzNnzkRqaipqa2s5jd1Z2+47U4uNP8n0im0NSd2YbUtsCyV0Qgwkk8mwevVqREdHY9iwYSr7b166hAdnz2qMEbVnL/ujjjUk9WXLlqG8vBxbtmzhLGZnbZuXfxvZtyQaY2ye583+qGMNSd0YbcsVaW0t7uz7ElffWopL81/ClddfQ+Gnf0djSYnBsesa5fjuvBirD1Zh6Z4KrPi6EmmnanG3qoWDmj8UGxsLHo/H/ly7do3T+KZCCZ0QAx05cgQlJSWYPXu22v11H2u+N7fbkqValaMuqcfExCAwMFCrxxtbeHg4IiMjsXPnTsjlco3Halvvztp213k3jY+fP0K7QWvqkrq1tq0pSaurcWN1KsozMiCpqADT0oKWujpUZ2fj+pr3UGdAYqxpkOOjw9U4k9+EKrEcMjkgbmJwqUiCjw9X4+b/pJw8h7S0NBw/fpyTWOZGCZ0QA6Wnp4PH42HKlCkq+7TpWdd2kvDb+Dw/UdeqmVxCQgJKSkqQmZnJSTxNbatNz3rXee1Gij/7qKPOdTM1Q9u2RI8ec27iHI3v4Tv7v4KkovV18Bn7/zBo6zYELHoV4PHASCQo2bkDjEz95ZCktAqNr+H3/xGjStz65SV6oBDrZ3hiTrQIPB4glQFf/VIHmVzbURPq3bt3D0uXLgWfz4dQKDQoliWghE6IARiGQVZWFvr37w8PDw+947R+cCZ2+OEZtWcvek223ClibUaOHAkAOHnypMGxuGrbpLQKJO/uOHlsnueNCVEiveObiiFte+HCBQwYMAAbN27krD4t9fWozskBAPDs7eH3wguwc3WF58iRcA3tDwCQVFSg9rffdI7d0CzH5aLWSyn2AmDCYBe4OPIxOMgRwb72AIAqsRzX7xnWS1+0aBGqq6uxdOlS+Pr6GhTLElBCJ8QA+fn5qKqqwmOPPaayL0vnUcmqvQ2+k1OH19Ut0ZAhQwAA586dMziWprb94p/ZOsVieKrbhPa8Dq+rWyJD2jYsLAyDBw/G8uXLsWHDBk7q01hcDPzZ+3b07QG+gwO7z6l3L/b3hlu3dI59p7IFbZ1vbzcB7O0evoB+3QTs70Xl+if0r776Cj/++CP69euH9957T+84loTmoRNigDt37gCA2m/37hfOGxTbmhJ5G5FIBKFQyLaLITS17ZWaPgbFtqZE3saQtnV1dcXRo0cxbtw4pKSkgGEYpKSkGFQfaU0N+7vA2VlpH9/p4Rx/aW0NdFXX9PDLrbOD8rcxocLfdY36nXIvLS1FUlIS+Hw+du/eDScn21iTwKoSulQqhVTKzUAIXcpU/LcrlN0Vn7O+ZVZWVgIAunXrxl1FeDxEpe9Rs1lNN1PDvsLCQrMM6vL09ERFxcPT2/rW2xhtywPwiZpkbq1tCwCBgYEoLi7WKc6KFSsQFRWFuLg4dltdfj5ublTfe29/KWjgBx+2O4Lp8E8eeCi4L8Gnx9RPuWt/KeTdqcqvt0rKVoqtn9deew2VlZVITk7GE088oWcUy2NVCf3EiRNwbvdN0FQyMjLMUq6uZbe0tOCRnzNg19Cgdv9vzzwLN3d3zsvlmjnKbuigzTRp+2bf2NjISR2CV6yEW79+avetWrVKZVt6ejqqq6uRnJysss+Q686GaGxsVPp/qm+9uW7bN2NdENxTfU/MWtsWAKZOnaqS5DuSl5eH3NxceHl5ISgoyKC62Ct8jsja/d+RKSxnbOeueSaCOiLhw1Td2Kyc0hulD/8WOeme0nNycvDdd9/Bw8MDkyZNQs6f4wAkkofTH69evQq5XI6BAwfqHN+crCqhjx07Fm5uur85DCGVSpGRkYExY8bA3t7eYsvOX7IEsrrOF50Iz/yZ/T1s5xdqex/W8py51tYj1IWPjw8AoKqqipM63Fq3FoD60+3qFlbJyspCUVFRh4uumJpcLkdNTQ3CwsLYbfrWm+u23XKsHkC92tPt1tq2APDBBx9o9fizZ88iLi4O3t7eyMzMRGhoqNJ+0YABKu+7tp65uvejnYsLeAIBGJkMzaWlkEsk7HX0JoXLAs5BwejZ00Gl3dt65upeD2dHHgR8QCYHKupkkLYw7HX0+w8ezkEP8NH9M0Isbp3KWF1djejoaLXHTJ06FZGRkbh06ZLO8c3JqhK6vb29yT/kLb3sG2vWoP5mgV5xr768AEDH12ot9Tkbs0xdhYWFgc/no6BAv9egI7mJcxD0yWa4c3kq3wQKCgogl8sxaNAgg2MZq22T0iqQOske3Ty0O1NlKQxp25ycHMTGxkIoFCIzMxMREREG10fg7Az3IUNRfeE8GKkU9w4eRI+JE1F35QrE168DABy8veEWHq5zbCcHPiIDHHCxUAKpDPjxv/WIfdQZ1+5Kcau0NaF7uvIR6meezydLRaPcrVhu4hy9k3n7OE20pKRePDw8EBERgZycHDDt1mivGT7CoNi3k5OsYoU4RRcuXACADns+utDUtoPcCw2Knfq91CpWiFNkSNuGhIQgOjoaJ0+e5CSZt+k1YwYcvFt72OUnjuPK4ldRtH0bwDDgOTjgkZdfAU8g6CSKehOHucLTtTVFnf69Ccv3V2HP6TowTOtUtpmjRBDwdT/lHhMTA4ZhVH4CAgLYY/Lz862udw5QQrdaXH/Q57/xOq4dOcJpzK5i4sSJqKmpQXa28lSqmMWLOYmfmzgHkqYmTmIZW0ZGBgQCAcaPH89JvI7adsHkoZzET0qrQFOz6Qdg6sOQtnV3d8fhw4c5OXOiyN7DA/1WpcL72Wfh4O0NnkAAO5EIHkOGIvSv70LUv7/esd2d+Vg63gOjBgjh6cqHgA+4OPIQGeCAJeM90LcH9c7bs6pT7qSVLslc8XQ6wzC4NDexw2MbvzmAusGDIfTk9p7Rtm7BggVYs2YN9u3bp3a9cS5cXfhKh6PfLUVDQwMOHTqECRMmwM/Pj5OYpmjbt/e3Tquy5KlsxmhbbWgzddLezQ29Z88BZuvWydCmvUVOfEwd4Yqphp3s0kpRUZHxCzEy6qFbGV2SucfQIUp/83g8wE7zd7ibf1mmV726Mn9/fyQkJGD//v2or69X2sfpXHI1t11tG7hlCQ4cOACxWIwlS5Z0eqy29dbUtsZOwNbatqTrooRuRa7+Xbc7LUlGPK6yrd+KlZ0+7toySuq6WrduHcRiMbZu3aqyz+2ttzgpw5IXmmlpacH69esRHx+P0aNHcxpbU9suGFnHSRmW3Ds3ZtsS20IJ3YpI/pwvqa0GNV8Abry3utPH9d+0SadyCNCnTx/s2bMHLi4uKvuCIyLhOWqUQfEtOZkDrau6zZo1Cx99pN2NZnShqW0H9e+D4X0d1DxKe5aczAHjti2xLXQN3Ur88aV+H+jXV6cidFUqAODaypVqT9sqitqz1yyrtNmCadOmdbgvYMHLED03HsXvvK1zXEtP5kDramXGnK+tqW1njHLD0/2rseGw7vfItvRkDhi/bYntoB66laj4+efOD1Kj4fZt9haIjX90fPtEpz59rCJxWDPPnj1b21jDMqOKHpkQT6+Jlnr4eGDzPG+tlwJ9pq+rVSRzQnRBPXRCScPEFEeq5y1+FTKFwV6OPXti4Ma/maNaNkFxnfbl+yvQ0PxwX3d3AVZMtq6FegjRBSV0K3BLz955p+zsELVrt3FiE61EbNtu9DL8Jln+fdSNYcMM4/fA4x5zNXoZhGiLEroVkBphwZeIXbsh6GQKGyGEEOtBn+hWoEWP+wl3yMIXJyGEEKIfSuhdiHfMU+g9b565q0EIIcQIaJR7F1KRdcrqbvZBCCFEO5TQrYDAndvbPOYmzkHOiROcxiSEEGJelNCtgGPcOM5jCr7ah1wNN2ohhBBiXSihW4GgZ581TmCGQW7iHJT8+9/GiU8IIcRkaFAcQeXOHajcuYMWmDGDy4sWQd7YwP7t4OuLsPe5XUv/6EUxp/EUWfI87He+qkSj5OFSxz5ufKycwu2tge99/09O4ynqqusHEP1RQrcSPmPGojzDuNe9cxPnwOG119Av6jGjltPV5c5N7HBNfUlpKTtw0e3ppxGcONeENbN+yWkV6OhuBeW1ciSlVQAARgx0wYvDnUxXMUJMgE65W4les2aZpBzJ1q0oWLnCJGXZErlcjsjISIwb1/F4h8p791qTdSc3yGlTe/Kk1cxKuHnzJuzs7LBt2zbOY2vTtvfLHiBJQzJv7/zv9Wxyt3TGbFtiWyihWxGHocNMUk5zaalJyrEl6enpyMvL6/CuWEU7PkfJ8nf0im0NSb1v376YOXMmUlNTUVtby2nsztp235labPxJpldsa0jqxmxbYlsooVuRsNdfN0k54Tu/MEk5tkImk2H16tWIjo7GsGGqX7puXrqEB2fPaowRtWcv+6OONST1ZcuWoby8HFu2bOEsZmdtm5d/G9m3JBpjbJ7nzf6oYw1J3RhtyxVpbS3u7PsSV99aikvzX8KV119D4ad/R2NJx3d31FZdoxzfnRdj9cEqLN1TgRVfVyLtVC3uVul+q1xNYmNjwePx2J9r165xGt9UKKFbGWMPXOvL8YCsruDIkSMoKSnB7Nmz1e6v+/gjjY93W7JUq3LUJfWYmBgEBgZq9XhjCw8PR2RkJHbu3Am5XK7xWG3r3Vnb7jrvpvHx80doNyBQXVK31rY1JWl1NW6sTkV5RgYkFRVgWlrQUleH6uxsXF/zHuoMSIw1DXJ8dLgaZ/KbUCWWQyYHxE0MLhVJ8PHhatz8n5ST55CWlobjx49zEsvcKKFbIWMldadp0yHy9TVKbFuWnp4OHo+HKVOmqOzTpmdd20nCb+Pz/ERdq2ZyCQkJKCkpQWZmJifxNLWtNj3rXee1G4X/7KOOOtfN1Axt2xI9esy5iXM0vofv7P8KkorW18Fn7P/DoK3bELDoVYDHAyORoGTnDjAy9ZdDktIqNL6G3/9HjCpx65eX6IFCrJ/hiTnRIvB4gFQGfPVLHWRybUdNqHfv3j0sXboUfD4fQqHQoFiWgBK6leI6qQ/cuhX9NQw6IuoxDIOsrCz0798fHh4eesdp/eBM7PDDM2rPXvSabPnTmEaOHAkAOHnypMGxuGrbpLQKJO/uOHlsnueNCVEiveObiiFte+HCBQwYMAAbN27krD4t9fWozskBAPDs7eH3wguwc3WF58iRcA3tDwCQVFSg9rffdI7d0CzH5aLWSyn2AmDCYBe4OPIxOMgRwb72AIAqsRzX7xnWS1+0aBGqq6uxdOlS+NpAZ4YSuhWL2rMXrv37cxLH0dXyP9AsUX5+PqqqqvDYY6pT/bJ0HpWs2tvgOzlZ1foAQ4YMAQCcO3fO4Fia2vaLf2brFIvhqW4T2vM6vK5uiQxp27CwMAwePBjLly/Hhg0bOKlPY3Ex8Gfv29G3B/gODuw+p9692N8bbt3SOfadyha0db693QSwt3v4Avp1E7C/F5Xrn9C/+uor/Pjjj+jXrx/ee+89veNYEpqHbuVClqcAAK68+TpaanQbAfto+h7weGo+6YjW7ty5AwBqv927XzhvUGxrSuRtRCIRhEIh2y6G0NS2V2r6GBTbmhJ5G0Pa1tXVFUePHsW4ceOQkpIChmGQkpJiUH2kNQ9v6yxwdlbax3d6OMdfqsftn+uaHn65dXZQ/owSKvxd16jfKffS0lIkJSWBz+dj9+7dcHKyjTUJrCqhS6VSSKXcDITQpUzFfy217P4ffgwAkEgkKFq1CpLyMrXH+f3tfXh6eQEAWlrUjxS1ludsrLJ1UVlZCQDo1q0bdxXp4J71mr58qdtXWFholkFdnp6eqKh4eHpb33obo215AD5Rk8yttW0BIDAwEMXFxTrFWbFiBaKiohAXF8duq8vPx82N6nvv7S8FDfzgw3ZHMB3+yQMPBfcl+PSY+g5H+0sh705Vfr1VUrZSbP289tprqKysRHJyMp544gk9o1geq0roJ06cgHO7b4KmkpGRYZZybzf0wuc/5Gt9fEuLFP8L/z+0MOpfWu9/XYaryKPTOI7ljriw+ROty+XUwDCztHdDQ0PnB7XT9s2+sbGRkzoEr1gJt3791O5btWqVyrb09HRUV1cjOTlZZZ8h150N0djYqPT/VN96c922b8a6ILin+p6YtbYtAEydOlUlyXckLy8Pubm58PLyQlBQkEF1sVe4C6Ss3f8dmcJyxnbummciqCMSPkzVjc3KKb1R+vBvkZPuKT0nJwffffcdPDw8MGnSJOT8OQ5AInk4/fHq1auQy+UYOHCgzvHNyaoS+tixY+HmpvubwxBSqRQZGRkYM2YM7O3tTV725z/kIzgoCHyBQOOxp/MlkGgxNbPCPhIVTa2/Pxtur7b3IZfJcKe8HEHBwRDwTTvMQiaX4xJglvZu6xHqwsfHBwBQVVXFSR1urVsLQP3pdnULq2RlZaGoqKjDRVdMTS6Xo6amBmFhYew2fevNddtuOVYPoF7t6XZrbVsA+OCDD7R6/NmzZxEXFwdvb29kZmYiNDRUab9owACV911bz1zd+9HOxQU8gQCMTIbm0lLIJRL2OnqTwmUB56Bg9OzpoNLubT1zda+HsyMPAj4gkwMVdTJIWxj2Ovr9Bw8/6AJ8dP+MEItbpzJWV1cjOjpa7TFTp05FZGQkLl26pHN8c7KqhG5vb2/yD3lLKJsvEHSYWH8taEZNg37XkX7+rfUUc2yk+ukaAj6/0y8SxmKO9tanvLCwMPD5fBQUFHBal9zEOQj6ZDPcuTyVbwIFBQWQy+UYNGiQwbGM1bZJaRVInWSPbh7unR9sQQxp25ycHMTGxkIoFCIzMxMREREG10fg7Az3IUNRfeE8GKkU9w4eRI+JE1F35QrE168DABy8veEWHq5zbCcHPiIDHHCxUAKpDPjxv/WIfdQZ1+5Kcau0NaF7uvIR6meez2RLRaPcrdixy016J/P2cZokpr9mbQs8PDwQERGBnJwcMO3WaK8ZPsKg2LeTk6xihThFFy5cAIAOez660NS2g9wLDYqd+r3UKlaIU2RI24aEhCA6OhonT57kJJm36TVjBhy8W3vY5SeO48riV1G0fRvAMOA5OOCRl18BT89OwcRhrvB0bU1Rp39vwvL9Vdhzug4M0zqVbeYoEQR83U+5x8TEgGEYlZ+AgAD2mPz8fKvrnQOU0K3WsctNnMbLypfh2q27nMbsKiZOnIiamhpkZytPpYpZvJiT+LmJcyBp4vb1NpaMjAwIBAKMHz+ek3gdte2CyUM5iZ+UVoGmZuv4MmtI27q7u+Pw4cOcnDlRZO/hgX6rUuH97LNw8PYGTyCAnUgEjyFDEfrXdyEyYFqtuzMfS8d7YNQAITxd+RDwARdHHiIDHLBkvAf69qDeeXtWdcqdtNIlmSueTmcYBsfzmjs8tkjsBX9xI5ydLX/VLEuyYMECrFmzBvv27VO73jgXri58pcPR75aioaEBhw4dwoQJE+Dn58dJTFO07dv7W6dVWfJUNmO0rTa0mTpp7+aG3rPnALN1O5ukTXuLnPiYOsIVUw072aWVoqIi4xdiZNRDtzK6JHNfN+WXl8fjgd/JDSbP3qJ56bry9/dHQkIC9u/fj/r6eqV9nM4lV3Pb1baBW5bgwIEDEIvFWLJkSafHaltvTW1r7ARsrW1Lui5K6FYk+7puo3278e6pbBsW4qDmSGVnrmm+exVRtW7dOojFYmzdulVln9tbb3FShiUvNNPS0oL169cjPj4eo0eP5jS2prZdMLKOkzIsuXduzLYltoUSuhWpbNJtDv61mh4q284XdH69cHT/zpM+UdanTx/s2bMHLi4uKvuCIyLhOWqUQfEtOZkDrau6zZo1Cx99pN2NZnShqW0H9e+D4X0Ne79acjIHjNu2xLbQNXQr8fsd/QbunCtowuMhrdfRz17v/HR9bKQQMgu6PaM1mTZtWof7Aha8DNFz41H8zts6x7X0ZA60rlZmzPnamtp2xig3PN2/GhsO636PbEtP5oDx25bYDuqhW4mSSvW3IOxMbUPrdfdjl5tQpyGfuzvzOpyPTrjh2bNna3LWcv38RybEW0UytwQ9fDyweZ631kuBPtPX1SqSOSG6oB46oURuYooj1fMWvwqZwmAvx549MXDj38xRLZuguE778v0VaFCY1NHdXYAVk61roR5CdEEJ3QrcLCoFwP0HER/AWErmZhWxbbvRy4h7zNXoZViiDTOM3wP3m2T596gnXQcldCtwt5H7ZD4m3B4CMy3rSgghhHuU0K2ANjdd0QWdYieEENtDCb0L6eUpQHhvWi6REEJsEY1y70LuVMk4XwOeEEKIZaCEbgUcOD6PcuxyE65e/Y3boIQQQsyKEroV8Hd+wHnMP1r6Um+dEEJsCCV0K9A3wNdosY9dbkLR/WqjxSeEEGIalNAJrpUJqbdOCCFWjhK6lXjE2/hzxo9dbsKtWwVGL4cQQgj3KKFbiYH+ppluViDujbM36PaphBBibSihWxFvYYNJylFc/5oQQoh1oIRuRYaEepqknDGD6H7ohBBibSihWxljL9v6RF/GqPEJIYQYByV0K2SspB7oWgmRi5NRYhNCCDEuSuhWiuuk/tQAAfoH+3MakxBCiOlQQrdisZFCdHPhcRLH0YFu2kIIIdaM7rZm5Yb3dQQAnLrahGYdb7P6/yIcweMZ/oWAEEKI+VlFQmeY1oFatbW1Ji9bKpWioaEBtbW1sLc3bS9WKpVCKpWiubkZAr7mkymP921NzC1SCXJK7NEoVX/ckJ7VELl3AwBIJOrnm8vkcsjlMjQ3N4MvMP6CNorkMhkapC1mae+6ujoAD99vhBBiTawiobd90Pbu3dvMNSFdQV1dHdzd3c1dDUII0QmPsYLuiFwux7179yASiegUMTEahmFQV1cHPz8/8Ds5I0IIIZbGKhI6IYQQQjSjbgghhBBiAyihE0IIITaAEjohhBBiAyihE0IIITaAEjohhBBiAyihE0IIITaAEjohhBBiAyihE0IIITaAEjohhBBiAyihE0IIITaAEjohhBBiAyihE0IIITaAEjohhBBiAyihE0IIITaAEjohhBBiAyihE0IIITaAEjohhBBiAyihE0IIITaAEjohhBBiA/4/Lh8nI+teqrsAAAAASUVORK5CYII=" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 0, 4 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 1 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 0, 4 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}