Datasets:
zelaix
/
VS-Bench

Dataset card Data Studio Files Community
2
next_action
list
prompt
dict
next_legal_actions
string
[ 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, 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 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>"}
[ 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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dzfzzn/9UW95K9XjTp09nysvLmd9++41N7iKRiFEqlez2qpdLtjVhwgS2PJcvX2ZkMhnz119/MYcOHWJSU1PNVIvEHO7cuaP22fj99991br9o0SJ227FjxzLXr19nbty4wTz++OPs8kWLFrHbG5vQATCvvPIKU1VVxRw4cEDtB4Oq9uIzjGl/I48++ihz+fJlpq6ujjl//rxhlapaPqP3JITYJH0Tel1dHdtaioiIYBiGYfLz89ntnnvuOTZmjx49dMYEwIwfP57dvnUZn89nqqqq2OWDBw9m1926dYtdriuhL1myhAHA8Hg8ZsaMGcxbb73FHDx4kLl9+zbXVUfM7Pbt22qfmdOnT+vcXvVzd/bsWXZ5QUEBu/y+++5jlxub0P39/dm7TjIMw/j6+jIAGBcXF7U4uhK6sX8jAJiysrKOqk4vZpn6lWtKpRI3b96Eh4cH3Z2KmA3DMKitrUVgYCDn1/BbS1JSUrtzxbu5uWHmzJnYuXMnCgsLcfbsWXzyySfs+oULF7KPVee0b09FRYXGsm7duqnNga96GVJjY6M+LwFr1qxBUVERDh8+jMzMTHZWST6fj2nTpuGTTz7RmIaY2CY/Pz94enqy577Pnz+PqKiodrdX/dyp3khK9by1ts8m0+ZKiebmZp3l6tOnD3vXSaDlc1pZWWnQTcKM/Rvx9/dHz5499T6OLnaR0G/evMnZCzbGgsiIjjcyk11nCw3e57tJk9DDw13rusF7PwGjdQ1p9ddff+G+++6zdjEsYsGCBdi5cycAID09HZ999hkA4MEHH8TgwYPZ7QICAnDjxg3weDzcuHED3bt314jV9ksU0O/mP7qWAy3X/B48eBDV1dU4d+4ciouLkZmZiR9//BGfffYZEhISMH369I5fLLE6Pp+PCRMm4NNPPwXQMtjx6aef1vqDrLm5mf3cAS0D0Vrv9aB6yVhAQAD72MXFBU1NTWojxZVKJa5du6azXPp+TnUx9m+kvZs7GcMuErqHhwcAoLi4mH1sKXK5HIW7PkBwr14QWLjVplAqEeskxKOPPtrhzHfXX1sN5d8jR3X5fc69eeh7vrVF6wdXLpfj2LFjeh2Xa9Y8dlVVFfr27Wvxz5g1PfDAAxgyZAjy8/Oxfft2tiWzYMECte0mTZqE9957DwzDICkpCVu3bkXv3r1RWVmJX3/9FR9++CFmzJiBOXPmGFUOX19f9kv6zJkzatcf7969G0DL/eUfeOABDB48GCUlJfjxxx8BAGVlZUYdk1jHmjVr8M0330AqlaKwsBATJ07E2rVrMWDAAEilUvz666945513sGXLFiQkJLA/OJcvX46PPvoIPB4Py5cvZ+MlJCSwj4ODg3Hp0iVUVFTg1KlTiI6Oxttvv63XLbv14evri8rKSlRUVODGjRtq9w8x99+IPuwiobcmHR8fH3h6elr02HK5HEKhEG6uruBbuFtPqVDATegMX1/fdpPb5bVrUXelyKj4f73ScsevqD171ZbL5XK4ubnpPK65WPPYrRzptM6ePXuwZ88ejeXFxcVst+WCBQuQn5/PJnN3d3fMmDFDbfu0tDQcO3YM58+fR1ZWFgYMGKAR05RW8kMPPcTeea61CzYmJgY5OTnIzc1td2poJycnjcvuiG3r06cPvv32WyQmJqKiogIHDx7EwYMHtW6blpaGn376CUVFRfjhhx/UEmhrLNVJlObMmYOUlBQALZ8psVgMqVQKNzc3Tu4++dBDD+G7775DXV0d24vXelrL3H8j+nCME4WdVEHSHKOTeds4jW2u5ySdx9NPP63WKzF9+nSNXgofHx/k5uZi7dq1iIqKglgsZu/bMGbMGLz11lsm3ZcgNTUVM2fOREBAgMYPqsmTJyMxMRGhoaHw8PCAQCCAn58f4uLi8NNPP9ncbGKkY48++iguXLiAtWvXIjo6Gt7e3hAKhejRowceffRRbN26FX369IG/vz/y8vKQnJyMAQMGQCQSwcXFBf3798fKlSuRl5cHPz8/Nu6yZcuQnJyMoKAgODs7o1+/fjhw4ACGDh3KSbnfffddTJgwAb6+vhrrzP03og+7mPpVIpHAy8sLNTU1Vmmh//rmZvTp08cqLfTfhc6Ij4/XaK0WJHHfbeM6bTr6xcdDLpfj0KFDWo9rbtY8dmVlJfz8/KzyOSOEEFPZRZc7UWdIMlftTmcYBmfmJrW7bcPn+1E7eDBEPj4mlY8QQojlUZe7nTEkmXsPHaL2nMfjAU66f8NdeXWZUeUihBBiXZTQ7cj5d7cZtL1s+EMay/qmrOpwv4vLKKkTQoi9oYRuR2T5+QZtX6/lB8Dl/2v/tpqt+m3ebNBxCCGEWB8ldDvx1yd7O95Ii0tpqezji6tWAR2MgWx7CRshhBD7QIPi7ETFTz8ZtV/9tWt6nXd37dUL/VI7br0TQgixTZTQCbXKCSHEAVCXux24amTrvENOTpTMCSHEQVAL3Q7IDx3iPGbERx9D0MElbIQQQuwHfaPbgWZJDXfBeDxEZWjO7U0IIcS+UUK3AwXB/4+TOP0G98ZDCdGcxCKEEGJbKKHbgbMcJfSzlcDn6RXYOs+v440JIYTYFRoUZwc8Xbm9nefi9Apk/3qG05iEEEKsixK6HYgJkXIe89ui+7AkvYLzuIQQQqyDutztQExUIL47z+HAuL8xaGmtPx0NDB9A3fDWcPb556FsqGefOwcEIPwN60y9u+LTSjTI7s0k6O/Jx6op3N557+bX/+E0nqrASZPNFpsQe0AJneCzXOCzXDq3bikFc5PanYJXdvs2O7Of5+jRCE2aa9ayLEmvQHuTAZdLlFj8dy/O8AFiPB3tatayEEJMQ13udmJUf5HZj7E4vQJ5Zy6a/TidVeXNmy3JuoP59FtJjh416Ha5hrh15y4W60jmbZ36s45N7oQQ20QJ3U5MGe5ukePsK/DD699KLHIsR6JUKhEZGYn4+Hit60t2fYCylSuMis11Ut/3swSbvlcYta+tJ/UrV67AyckJO3bssHZRCLE46nK3IxGBMhTedDb7cSokDMDtqVOHl5GRgcLCQuzevVtj3ZUzZ1B74oTO/VWn4NWWwAuS5nAyTW/hhWvIu+qpcxvVUy/aEvhiG770sXfv3pg5cyZSU1Mxa9YseHrqfq2WVHPmDKrz81BfXAx5dTWUTU0QdukCt14h6DZhAlx79jQ6trRRiSNn61Fa3owbVc2Q//17bVhvF8wc6cHRK3Acv/76KzIzM3Hq1CncuHED1dXV6N69OyIiIrB8+XI8/PDD1i6iUaiFbkee/X+BFjnO5lleFjmOo1AoFEhLS0NMTAyGDRumsb727S069/dc+rJex9GW6GNjYxEcHKzX/gDw0SndCe7Z4fpdUaEt0RtaFnNZtmwZysvLsW3bNmsXRU35T1mo+uUXNF6/DoVUCkYuh+zOHVTnnsLFNa+h5uxZo2NX1ylx/M9GlJTfS+akffv27cPOnTtRUFCAO3fuQCaTobS0FN999x0eeeQRrT/M7QEldDtj7pbRqoluZo3viA4dOoSysjLMnj1bY50+3eWSDhJ+K/8nJxpaNDX6dJd/dEq/UzuPP+BiUlnMaeDAgYiMjMTu3buhVCqNjlNWVmbQ9gVJc3S+3zyBAD6jRqHPqtWI3P0h+r/+BtzDwlpWKhS49e8v2913cXqFzvfP1ZmHmAEizB7ljrERNHixI3w+H1OnTsWRI0cglUpx/fp1TJ06lV2/cuVKKBT298uIutzt0NZ5fmY5lzl+QB38u/hBLpdzHtuRZWRkgMfjYcqUKUbHaEkEPKCdYWqWvCve4vQK8BiAaWc+I1vtbleVmJiIlJQUZGdnY8yYMQbvn5ubi9GjR2P16tVYscK4sQ9tBT//AgSu95KtqFs3BE5/GpfTUgEAjbduGR3b10OAydEtP8Z+vdhgUjk7g02bNqmdjhGLxdixYwf+/e9/AwAqKytRXl6Obt26WauIRqEWup3i+kt1/TRPjIkO4jRmZ8AwDHJyctCvXz94e3urrcsxeGCWZjLnu7pyksw//E+eYSXRksxFQp5dJHMAGDFiBADg6NGjRu0fHh6OwYMHY+XKldi4cSMnZVJN5q2UMhn72NmHBq5YiraxFfX19+aDcHNzg6+vryWLxAlqoduxrfP88O7halz5X7PJcYhxLly4gKqqKsTFxWms88o9ZVJsLlvl52p6mbS/vX1GhgwZAgA4efKkUfu7u7vj8OHDiI+PR3JyMhiGQXJyMpdFhFIux60vv2Cf+z1ueE8C4QbDMPjXv/7FPl+4cCGEQqEVS2QcSuh27qU4bwDA6v2VkDToe1Vxi3fm+oLH43ae+M7m+vXrAICAgADugrZzi1td75W2dcXFxSYPUuMBeEdLMrdGWQzh4eEBkUjEvj+qgoODUVpaalC8lJQUREVFsT/cai9cwJVN2lvubc+jD3jzLbj4+6stUzQ04Nq2rai7cgUA0OWhh+H/96mBolsyvPeD9ktH255qe21qF/h6CAx6LUSdTCbDM888w3a3jx49mrNeGUuzq4Qul8stfn639XgKEwbXGKv1mPq85temtHQhyWQyvHWoCZVS7eVdGaeAr29L115zs/aWfevxrHEu3RaObYjKykoAQJcuXTgpQ2jKKnj27at13Zo1azSWZWRkoLq6GkuWLNFY1/YUgKH+OU6M0O7aB1hZuizG8PHxQUWF5liTqVOnal2uTWFhIQoKCuDr64uQkBBOyiW/exdX3noTjX/9BQDwe3Q07pszh35cW4FEIsGkSZPYUzMJCQnYv38/XFxsd9CnLjyG0XPaKiuSSCTw8vJCZmYm3NxoFDYxj/r6esyYMQM1NTV6X7984MABTJo0CcnJyVi/fr3aOlMmhNG3uz02NhYlJSUoKSnRuZ0pgyj17W7XpyyWnMvdx8cHLi4uuGXkYLMTJ04gLi4OLi4uyM7ORkREhM7tW99vXe9dw/XruPrWm5BXVQE8HrpPmYpuEyZ0WJbW90+f9+LXiw348rc6AHQdui43btxAfHw8CgsLAQD/+Mc/sHXrVggE9tvjYVct9LFjx1p8ogi5XI6srCyMGTPG4udUrHXszviagXutbUP4/92VWlVVxWlZCpLmIOSdrfDiqOVvisXpFUidJEQXb/uZn0CpVKKmpgbh4eFG7Z+fn49x48ZBJBLplcz1UXvxIoq3vgNFfT14Tk64f/5z8Pl78J6plAyD+qaWtpms+V4brVnBQNrY0lsnEvLgJKBeAAD4448/EBcXh+vXr4PH4+H111/HsmXLrF0sk9lVQhcKhVYbqNAZj93ZXrMxxwsPDwefz0dRUZHGupro4SYNjLu2ZDEAbgbHDfIqNmlgXOrXcgC2O0NcW0VFRVAqlRg0aJBR+/fp0wcxMTHYuHGj0THa+t/X/4Hi75HUTHMzSt/fidL3d6pto+18uz7uSpX4v3/f1Vh+uliG08UtPzZnPOKO6D7mvyeEPXjzzTfZ8RUMw+DVV1/Fq6++qrbNsWPHEBsba4XSGY8uWyPEBN7e3oiIiEB+fj7anr2KXbSIk2MUJM2BrLHRpBjzJw/lpCyL0yvQ2GT78xTk5uYCAGJiYoza38vLCwcPHuQsmRNiCXbVQifEFk2cOBGpqanIy8vTOvUrF84vXNDu6HdLW55ZA8C2L2XLysqCQCDA+PHjLXbMjnpS+qw0/rK3jura10Ng0++HrcnIyEBGRoa1i8E5aqETYqL58+dDIBBg3759Gus4neFNy/jVnJycDgfEtTL3F74hZTGn+vp6HDhwABMmTEBgoGXuf0CILaCEToiJevTogcTERGRmZqKurk5jvecrr3ByHC5+HMwfUctBSWy7db5//35IpVIsXbrU2kUhxKIooRPCgfXr10MqlWL79u0a60IjIuEzcqRJ8blq6Q/q1wvRvU27Ba8tJ/Pm5mZs2LABCQkJGDVqlLWLQ4hFUUInhAO9evXCnj17IBaLta4Pmv8cgja9blRsrm/MMmOkJ1aON274jC0nc6Bl5r5Zs2Zhyxb97mBHiCOhQXGEcGTatGk61/t07w6fPXtRMDdJ6/nwtu6fkABflVs6cqmbvze2zgOWpFe0c383dY/1dkfCSNu/5Ck4OBipqanWLgYhVkEJnRALUx2pXrjoBShUzru7dO+OAUa25I2hOk/7yswK1DfdW9fVS4CUydaf2IYQoh9K6IRYUcSOnR1vZCEbZ5i/O73t9KyEEO7QOXRCCCHEAVBCJ4QQQhwAJXRCCCHEAVBCJ4QQQhwAJXRCCCHEAVBCJ4QQQhwAJXRCCCHEAdB16IRY0dnnn4eyoZ597hwQgPA3NlulLCs+rUSD7N68cf6efKya4sPpMQ6flnIaT1Xcg+5mi02IPaCEToiF6Zr6VXb7NgqS5gAAPEePRmjSXLOWRdfUr+USJRanVwAAhg8Q4+loV7OWhRBiGupyJ8RCKm/ebEnWeszjDgCSo0fZ5M61W3fuYrGe87gDwKk/69jkTgixTZTQCeGAUqlEZGQk4uPjta4v2fUBylauMCo210l9388SbPpeYdS+tp7Ur1y5AicnJ+zYscPaRSHE4qjLnRAOZGRkoLCwELt379ZYd+XMGdSeOKFzf9VbpGpL4AVJczi5jWrhhWvIu+qpcxvVW6RqS+CL0yts9jaqvXv3xsyZM5GamopZs2bB01P3a7UkuUSC2999i/pr11BfWgpGLgcA+DzyCIKeW2BS7PN/yXC2tAll5c2QNCjR1MzA242P+/2cMCbCDYE+9FWvSiaTYfXq1fjvf/+L33//HbW1tQCAmJgY5OTkWLdwJqAWOiEmUigUSEtLQ0xMDIYNG6axvvZt3ffm9lz6sl7H0ZboY2NjERwcrNf+APDRKd0J7tnh+g1a05boDS2LuSxbtgzl5eXYtm2btYuiRn73LsqPHEHdlStsMufKzxcakFvUhFvVCtQ1MWhWABW1SpwulmHzt9X487qM0+PZu/r6erzxxhvIyclhk7kjoIROiIkOHTqEsrIyzJ49W2OdPt3lkg4Sfiv/JycaWjQ1+nSXf3RKv5Hijz/gYlJZzGngwIGIjIzE7t27oVQqjY5TVlZm0PYFSXN0vt8CNzf4jx2LoOefR8CEBINiL06v0Pn+CfhAdB8XLIn3wubZvkiZ3AWhAS2tciUDHPy9rt19OyOhUIgXXngBH3/8sc398DMF9cMQYqKMjAzweDxMmTLF6BgtiYAHtDNMjYvudn0tTq8AjwEYnvb1ttrdrioxMREpKSnIzs7GmDFjDN4/NzcXo0ePxurVq7FihXFjH9py8ffHfTNnAQAqjh7lJGarOaM8IHK+1z7r6iXAk0PF2HKwBgBwu8a4MROOSiwWs+MsfvjhByuXhjvUQifEBAzDICcnB/369YO3t7fauhyDB2ZpJnO+qysnyfzD/+QZVhItyVwk5NlFMgeAESNGAACOGpk4w8PDMXjwYKxcuRIbN27ksmhmoZrMW8lVcngXMX3VdwbUQifEBBcuXEBVVRXi4uI01nnlnjIpNpet8nM1vUza314SeashQ4YAAE6ePGnU/u7u7jh8+DDi4+ORnJwMhmGQnJzMZRHNqlnB4Lv8e93sI/vTHAKdASV0Qkxw/fp1AEBAQAB3QXk8RGXs0bK4nT7wdtYVFxebPEiNB+AdLcncGmUxhIeHB0QiEfv+qAoODkZpaalB8VJSUhAVFcX+cKu9cAFXNmlvubc9jz7gzbfg4u+v97GKbsnw3g8Srevankd/bWoX+HoI1JY1ypT46GgtSsqbAQBDQ10wqr9I7+MT+2VXCV0ul0PO8ehQfY6p+n9nOHZnfM3GHrOyshIA0KVLF07KEJqyCp59+2pdt2bNGo1lGRkZqK6uxpIlSzTWtT0FYKh/jhMjtLv2lp2ly2IMHx8fVFRoDiSbOnWq1uXaFBYWoqCgAL6+vggJCeG6iJyrqVfg/SMS3Lzb0t/+cJgIU0eIdf4AI47DrhL6kSNH4ObmZpVjZ2VlWeW41jx2Z3vN9fX1HW/UhqtrS8JraGjgpAxX168DoL27PTU1VWNZTk4OSkpKtK4z1bYf6gDUae1ut3RZjNHQ0KD1++LNN9/Ua/8TJ04gLi4Ofn5+yM7ORlhYGLvOo39/jfeotWVu6qmSPt2dNeq8tWWu69THrbvNeD9Lguo6JXgAnhjshjER1vm+JNZhVwl97NixFp8oQi6XIysrC2PGjIFQKOwUx+6Mrxm419o2hP/fXalVVVWclqUgaQ5C3tkKL45a/qZYnF6B1ElCdPH2snZR9KZUKlFTU4Pw8HCj9s/Pz8e4ceMgEomQnZ2NiIgIk8vEKJVQ1LWc11Y0Nd0rq7wZzX9fC80XicA34nN/5X9yfJgtQYOMgYAPzBzpgcEhtntpoS1o7aWRSO6d3pDL5exyNzc3qzUgjWVXCV0oFFr8S74zH7uzvWZjjhceHg4+n4+ioiKNdTXRw00aGHdtyWIA3AyOG+RVbNLAuNSv5QBsd4a4toqKiqBUKjFo0CCj9u/Tpw9iYmKwceNGo2O0JausxJ//ekVjeXXuKVT//Tm5f/5z8B050uDYhwvq2DvlKZTA3uO12HtcfcIUbefbOzN/LeMaTp48yS5fs2aNzfQ26YuuZSDEBN7e3oiIiEB+fj6YNjddiV20iJNjFCTNgayx0aQY8ycP5aQsi9Mr0Nhk+fENhsrNzQXQMpWnMby8vHDw4EHOkjkhlmBXLXRCbNHEiRORmpqKvLw8rVO/cuH8wgXtjn63tOWZLZOV2HJrPSsrCwKBAOPHj7fYMTvqSXHx9ze6t6Wjun4pztuouJ1Z2x/gjoBa6ISYaP78+RAIBNi3b5/GOk5neNPyBdQ6EE0f5k7AhpTFnOrr63HgwAFMmDABgYGB1i4OIRZDCZ0QE/Xo0QOJiYnIzMxEXZ3mnNmer2ieNzUGFz8O5o/g5kYUttw6379/P6RSKZYuXWrtohBiUZTQCeHA+vXrIZVKsX37do11oRGR8DFioJMqrlr6g/r1QnRvZ5Ni2HIyb25uxoYNG5CQkIBRo0ZZuziEWBQldEI40KtXL+zZswdisVjr+qD5zyFo0+tGxeb6xiwzRnpi5Xjjhs/YcjIHWmbumzVrFrZs0e8OdoQ4EhoURwhHpk2bpnO9T/fu8NmzFwVzk7SeD2/r/gkJ8J06laviqenm742t84Al6RXt3N9N3WO93ZEw0vanDw0ODra7S40I4QoldEIsTHWkeuGiF9jJRgDApXt3DDCyJW8M1XnaV2ZWoP7efCfo6iVAymTrT2xDCNEPJXRCrChix05rF4G1cYb5u9PjHnQ3+zEI6azoHDohhBDiACihE0IIIQ6AEjohhBDiACihE0IIIQ6AEjohhBDiACihE0IIIQ6AEjohhBDiAOg6dEKs6Ozzz0PZUM8+dw4IQPgbmzk9xs2v/8NpPFWBkyabLbapVnxaiQbZvXnw/D35WDXFh9NjHD4t5TSeKrpmnxiKEjohFqZr6lfZ7dsoSJoDAPAcPRqhSXMtWDL7p2sq23KJEovTKwAAwweI8XS0q+UKRogFUJc7IRxQKpWIjIxEfHx8u9tU3rzZkqz1mMcdACRHj7LJ3dZduXIFTk5O2LFjB+ex9anbW3fuYrGe89IDwKk/69jkbuvMWbfEsVBCJ4QDGRkZKCwsbPfGICW7PkDZyhVGxbaHpN67d2/MnDkTqampkEgknMbuqG73/SzBpu8VRsW2h6RuzroljoUSOiEmUigUSEtLQ0xMDIYNG6ax/sqZM7h74oTOGFF79rL/tLGHpL5s2TKUl5dj27ZtnMXsqG4LL1xD3lWZzhhb5/mx/7Sxh6RujrrlilwiwfV9n+D8Ky/jzLPP4NyL/0Dxe++ioazM5Ni1DUp8dUqKtC+r8PKeCqR8Von0YxLcqGo2ObZUKsWqVasQFhYGkUgEHx8fxMfH45dffjE5trVQQifERIcOHUJZWRlmz56tdX3t27rvze259GW9jqMtqcfGxiI4OFiv/c1t4MCBiIyMxO7du6FUKnVuq2+5O6rbj0556tz/2eH6DVrTltTttW4tSV5djctpqSjPyoKsogJMczOaa2tRnZeHS2v/D7UXLxodu6ZeiS0Hq/HzhUZUSZVQKAFpI4MzJTK8fbAaV/4nNzp2XV0dRo0ahfXr1+Py5ctoamrC3bt3cfjwYcTGxmL//v1Gx7YmSuiEmCgjIwM8Hg9TpkzRWKdPy1rSQcJv5f/kREOLZnGJiYkoKytDdnY2J/F01a0+LeuPTuk3UvzxB1wMLpulmVq3ZUa0mAuS5uj8DF/P/BSyipb3wX/s/8Og7TsQ9PwLAI8HRiZD2e5dYBTaT4csTq/Q+R5+/V8pqqQtP15iBoiwYYYP5sR4gMcD5Arg019qoVDqO2pC3dq1a1FQUACgpV7v3LmDn376CW5ublAqlVi4cCGqqqqMim1NlNAJMQHDMMjJyUG/fv3g7e1tdJyWL86kdr88o/bsxX2TbfcSsVYjRowAABw9etTkWFzV7eL0Ciz5uP3ksXWeHyZEeRgd31JMqdvc3Fz0798fmzZt4qw8zXV1qM7PBwDwhEIEPvUUnNzd4TNiBNzD+gEAZBUVkPzxh8Gx65uUOFvScipFKAAmDBZD7MLH4BAXhAYIAQBVUiUu3TS8lc4wDD7++GP2+RtvvAF/f3889thjSExMBABIJBJ8/vnnBse2NkrohJjgwoULqKqqwoMPPqixLsfgUcmarQ2+q2u759Vt0ZAhQwAAJ0+eNDmWrrr98D95BsVieJrLREJeu+fVbZEpdRseHo7Bgwdj5cqV2LhxIyflaSgtBf5ufbsEdAPf2Zld59rzPvZx/dWrBse+XtmM1sa3n6cAQqd7b2BgFwH7uKTc8IReXFyM8vJyAICHhweCgoLYdYMGDWIfnzp1yuDY1kbXoRNiguvXrwMAAgICNNZ55Zr2hWBPibyVh4cHRCIRWy+m0FW352p6mRTbnhJ5K1Pq1t3dHYcPH0Z8fDySk5PBMAySk5NNKo+8poZ9LHBzU1vHd713jb9cUgND1Tbe+3Hr5qz+a0yk8ry2wfAu99u3b7OP2/b8eHl5ad3OXthVQpfL5ZDLjR8IYewxVf/vDMfujK/Z2GNWVlYCALp06cJdQXg8RGXs0bJYSzNTx7ri4mKrDOry8fFBRcW97m1jy22OuuUBeEdLMrfXugWA4OBglJaWGhQnJSUFUVFRiIuLY5fVXriAK5u0t97bngoa8OZbbbZg2n3KAw9Ft2R47wftl9y1PRXy2lT191sjZavFNg3TZk4I1ee6PhO2yq4S+pEjR+DW5pegpWRlZVnluNY8trWOe63+PnzwzQWLH9eYhO76d0ukoaGBkzKEpqyCZ9++WtetWbNGY1lGRgaqq6uxZMkSjXWmnHc2RUNDg9rfqbHl5rpu/zlOjNDu2meHs9e6BYCpU6dqJPn2FBYWoqCgAL6+vggJCTGpLEKV1qyivl5tnUJlOmMnL91XImjjIbqXTBua1JNug/zecw9Xw5Ouao9PdXW12roalV4HbT1Dts6uEvrYsWPh6Wn4h8MUcrkcWVlZGDNmDIRCYac4trVf8wffXEBoSAj4AkHHO3Cood7wxOHv7w8AnI2Ivbp+HQDt3e3aJlbJyclBSUlJu5OuWJpSqURNTQ3Cw8PZZcaWm+u63fZDHYA6rd3t9lq3APDmm2/qtf+JEycQFxcHPz8/ZGdnIywsTG29R//+Gp+71pa5ts+jk1gMnkAARqFA0+3bUMpk7Hn0RpXTAm4hoeje3Vmj3ltb5treDzcXHgR8QKEEKmoVkDcz7Hn0W3fvXYMe5G/491NISAi6du2KO3fuQCqVorS0lD2Pfu7cOXa76Ohog2Nbm10ldKFQaPEE05mPbc3XzBcIIOBbdswmX2D48cLDw8Hn81FUVMRpWQqS5iDkna3w4rIr3wKKioqgVCrVBhcZy1x1uzi9AqmThOji7dXxxjbElLrNz8/HuHHjIBKJkJ2djYiICJPLI3Bzg9eQoajOPQVGLsfNL79Et4kTUXvuHKSXLgEAnP384DlwoMGxXZ35iAxyxuliGeQK4Lvf6zDuATdcvCHH1dstCd3HnY+wQOO+n5555hl2xP+rr76K7du34+zZs/jyyy8BAJ6enpg2bZpRsa2JRrkTYgJvb29EREQgPz9f43xcTfRwk2JfW7LYLmaIU5WbmwsAiImJMTmWrrod5FVsUuzUr+V2MUOcKlPqtk+fPoiJicHRo0c5Seat7psxA85+LS3s8iM/4tyiF1CycwfAMOA5O+P+5xaAZ2RP28Rh7vBxb0lRx/9sxMrMKuw5XguGabmUbeZIDwj4xp3nXrVqFaKiogAAX3zxBfz9/fH444+jvr4efD4fH3zwAXx8uL0znyVQQifERBMnTkRNTQ3y8tQvpYpdtIiT+AVJcyBrbOQklrllZWVBIBBg/PjxnMRrr27nTx7KSfzF6RVobLL8AExjmFK3Xl5eOHjwICc9J6qE3t7ouyYVfo8/Dmc/P/AEAjh5eMB7yFCErX4NHv36GR3by42Pl8d7Y2R/EXzc+RDwAbELD5FBzlg63hu9uxnfeygWi3H8+HGkpKSgT58+cHZ2hre3N8aNG4djx45h+vTpRse2JrvqcifEFs2fPx9r167Fvn37tM43zoXzCxe0O/rdVtTX1+PAgQOYMGECAgMDOYlpibpdntkyEMqWL2UzR93qQ59LJ4Wenug5ew4w27DeJH3q28OVj6nD3THVtM4u7bE9PLBu3TqsW7eO++BWQi10QkzUo0cPJCYmIjMzE3V1dWrrOL2WXMttV1sHbtmC/fv3QyqVYunSpR1uq2+5ddWtuROwvdYt6bwooRPCgfXr10MqlWL79u0a6zxfeYWTY9jyRDPNzc3YsGEDEhISMGrUKE5j66rb+SNqOTmGLbfOzVm3xLFQQieEA7169cKePXsgFos11oVGRMJn5EiT4ttyMgdaZnWbNWsWtmzR70YzhtBVt4P69UJ0b2cte+nPlpM5YN66JY6FzqETwhFdl7kEzX8OHk+MR+mK5QbHtfVkDrTMVmbO67V11e2MkZ4Y3a8aGw8afo9sW0/mgPnrljgOaqETYiE+3bu3JGc9p5S8f0KCXSRzW9DN3xtb5/npPRXoY73d7SKZE2IIaqETYmGqI9ULF70AhcpgL5fu3TFg0+vWKJZDUJ2nfWVmBeqb7q3r6iVAymT7mqiHEENQQifEiiJ27DT7MQIn2f591M1h4wzzt8DjHnQ3+zEI0Rd1uRNCCCEOgBI6IYQQ4gAooRNCCCEOgBI6IYQQ4gAooRNCCCEOgBI6IYQQ4gAooRNCCCEOgK5DJ8SKzj7/PJQN9exz54AAhL+xmdNjHD4t5TSeKlu+DnvFp5VokN27Q52/Jx+rpvhweoybX/+H03iqOuv8AcR4lNAJsbCCuUlab4UKALLbt1GQ1HJfac/RoxGaNNeCJbN/S9IroL1mgXKJEovTKwAAwweI8XS0q+UKRogFUJc7IRxQKpWIjIxEfHx8u9tU3rzZkqzbSeZtSY4eZZO7rbty5QqcnJywY8cOzmPrU7e37tzFYh3JvK1Tf9axyd3WmbNuiWOhhE4IBzIyMlBYWNjuXbFKdn2AspUrjIptD0m9d+/emDlzJlJTUyGRSDiN3VHd7vtZgk3fK4yKbQ9J3Zx1SxwLJXRCTKRQKJCWloaYmBgMGzZMY/2VM2dw98QJnTGi9uxl/2ljD0l92bJlKC8vx7Zt2ziL2VHdFl64hryrMp0xts7zY/9pYw9J3Rx1yxW5RILr+z7B+Vdexplnn8G5F/+B4vfeRUNZmcmxaxuU+OqUFGlfVuHlPRVI+awS6cckuFFl+K1y25JKpVi1ahXCwsIgEong4+OD+Ph4/PLLLybHthZK6ISY6NChQygrK8Ps2bO1rq99e4vO/T2XvqzXcbQl9djYWAQHB+u1v7kNHDgQkZGR2L17N5RKpc5t9S13R3X70SlPnfs/O1y/AYHakrq91q0lyaurcTktFeVZWZBVVIBpbkZzbS2q8/Jwae3/ofbiRaNj19QrseVgNX6+0IgqqRIKJSBtZHCmRIa3D1bjyv/kRseuq6vDqFGjsH79ely+fBlNTU24e/cuDh8+jNjYWOzfv9/o2NZECZ0QE2VkZIDH42HKlCka6/RpWUs6SPit/J+caGjRLC4xMRFlZWXIzs7mJJ6uutWnZf3RKf1G4T/+gIvBZbM0U+u2zIgWc0HSHJ2f4euZn0JW0fI++I/9fxi0fQeCnn8B4PHAyGQo270LjEL76ZDF6RU638Ov/ytFlbTlx0vMABE2zPDBnBgP8HiAXAF8+kstFEp9R02oW7t2LQoKCgC01OudO3fw008/wc3NDUqlEgsXLkRVVZVRsa2JEjohJmAYBjk5OejXrx+8vb2NjtPyxZnU7pdn1J69uG+y7V/GNGLECADA0aNHTY7FVd0uTq/Ako/bTx5b5/lhQpSH0fEtxZS6zc3NRf/+/bFp0ybOytNcV4fq/HwAAE8oROBTT8HJ3R0+I0bAPawfAEBWUQHJH38YHLu+SYmzJS2nUoQCYMJgMcQufAwOcUFogBAAUCVV4tJNw1vpDMPg448/Zp+/8cYb8Pf3x2OPPYbExEQAgEQiweeff25wbGujhE6ICS5cuICqqio8+OCDGutyDB6VrNna4Lu6tnte3RYNGTIEAHDy5EmTY+mq2w//k2dQLIanuUwk5LV7Xt0WmVK34eHhGDx4MFauXImNGzdyUp6G0lLg79a3S0A38J2d2XWuPe9jH9dfvWpw7OuVzWhtfPt5CiB0uvcGBnYRsI9Lyg1P6MXFxSgvLwcAeHh4ICgoiF03aNAg9vGpU6cMjm1tdB06ISa4fv06ACAgIEBjnVeuaV8I9pTIW3l4eEAkErH1YgpddXuuppdJse0pkbcypW7d3d1x+PBhxMfHIzk5GQzDIDk52aTyyGtq2McCNze1dXzXe9f4yyU1MFRt470ft27O6r/GRCrPaxsM73K/ffs2+7htz4+Xl5fW7eyFXSV0uVwOudz4gRDGHlP1/85wbFt4zcp2zruZk1Jh+GCjyspKAECXLl24KwiPh6iMPVoWa2lm6lhXXFxslUFdPj4+qKi4171tbLnNUbc8AO9oSeb2WrcAEBwcjNLSUoPipKSkICoqCnFxceyy2gsXcGWT9tZ721NBA958q80WTLtPeeCh6JYM7/2g/ZK7tqdCXpuq/n5rpGy12KZh2swJofpc12fCVtlVQj9y5Ajc2vwStJSsrCyrHNeax7bWcUPcAOZ/12HplN5cX9/xRm24/t0SaWho4KQMoSmr4Nm3r9Z1a9as0ViWkZGB6upqLFmyRGOdKeedTdHQ0KD2d2psubmu23+OEyO0u/bZ4ey1bgFg6tSpGkm+PYWFhSgoKICvry9CQkJMKotQpTWraPO3o1CZztjJS/eVCNp4iO4l04Ym9aTbIL/33MPV8KSr2uNTXV2ttq5GpddBW8+QrbOrhD527Fh4ehr+4TCFXC5HVlYWxowZA6FQ2CmO3RlfM3CvtW0If39/AOBsROzV9esAaO9u1zaxSk5ODkpKStqddMXSlEolampqEB4ezi4zttxc1+22H+oA1GntbrfXugWAN998U6/9T5w4gbi4OPj5+SE7OxthYWFq6z3699f43LW2zLV9Hp3EYvAEAjAKBZpu34ZSJmPPozeqnBZwCwlF9+7OGvXe2jLX9n64ufAg4AMKJVBRq4C8mWHPo9+6e+8a9CB/w78jQkJC0LVrV9y5cwdSqRSlpaXsefRz586x20VHRxsc29rsKqELhUKLf8l35mN3ttdszPHCw8PB5/NRVFTEaVkKkuYg5J2t8OKyK98CioqKoFQq1QYXGctcdbs4vQKpk4To4u3V8cY2xJS6zc/Px7hx4yASiZCdnY2IiAiTyyNwc4PXkKGozj0FRi7HzS+/RLeJE1F77hykly4BAJz9/OA5cKDBsV2d+YgMcsbpYhnkCuC73+sw7gE3XLwhx9XbLQndx52PsEDjviOeeeYZdsT/q6++iu3bt+Ps2bP48ssvAQCenp6YNm2aUbGtiUa5E2ICb29vREREID8/X+N8XE30cJNiX1uy2C5miFOVm5sLAIiJiTE5lq66HeRVbFLs1K/ldjFDnCpT6rZPnz6IiYnB0aNHOUnmre6bMQPOfi0t7PIjP+LcohdQsnMHwDDgOTvj/ucWgCcQdBBFu4nD3OHj3pKijv/ZiJWZVdhzvBYM03Ip28yRHhDwjTvPvWrVKkRFRQEAvvjiC/j7++Pxxx9HfX09+Hw+PvjgA/j4cHtnPkughE6IiSZOnIiamhrk5alfShW7aBEn8QuS5kDW2MhJLHPLysqCQCDA+PHjOYnXXt3OnzyUk/iL0yvQ2GT5wZ/GMKVuvby8cPDgQU56TlQJvb3Rd00q/B5/HM5+fuAJBHDy8ID3kKEIW/0aPPr1Mzq2lxsfL4/3xsj+Ivi48yHgA2IXHiKDnLF0vDd6dzO+B08sFuP48eNISUlBnz594OzsDG9vb4wbNw7Hjh3D9OnTjY5tTXbV5U6ILZo/fz7Wrl2Lffv2aZ1vnAvnFy5od/S7raivr8eBAwcwYcIEBAYGchLTEnW7PLNlIJQtX8pmjrrVhz6XTgo9PdFz9hxgtmG9SfrUt4crH1OHu2OqaZ1d2mN7eGDdunVYt24d98GthFrohJioR48eSExMRGZmJurq6tTWcXotuZbbrrYO3LIF+/fvh1QqxdKlSzvcVt9y66pbcydge61b0nlRQieEA+vXr4dUKsX27ds11nm+8gonx7DliWaam5uxYcMGJCQkYNSoUZzG1lW380fUcnIMW26dm7NuiWOhhE4IB3r16oU9e/ZALBZrrAuNiITPyJEmxbflZA60zOo2a9YsbNmi341mDKGrbgf164Xo3s5a9tKfLSdzwLx1SxwLnUMnhCO6LnMJmv8cPJ4Yj9IVyw2Oa+vJHGiZrcyc12vrqtsZIz0xul81Nh40/B7Ztp7MAfPXLXEc1EInxEJ8undvSc56Til5/4QEu0jmtqCbvze2zvPTeyrQx3q720UyJ8QQ1EInxMJUR6oXLnoBCpXBXi7du2PAptetUSyHoDpP+8rMCtQ33VvX1UuAlMn2NVEPIYaghE6IFUXs2Gn2Y8Q96G72Y9iijTPM3wIPnGT796gnnQd1uRNCCCEOgBI6IYQQ4gAooRNCCCEOgBI6IYQQ4gAooRNCCCEOgBI6IYQQ4gAooRNCCCEOgBI6IYQQ4gAooRNCCCEOgBI6IYQQ4gAooRNCCCEOgBI6IYQQ4gAooRNCCCEOgBI6IYQQ4gAooRNCCCEOgBI6IYQQ4gAooRNCCCEOwMnaBdAHwzAAAIlEYvFjy+Vy1NfXQyKRQCgUdopjd8bXDAC1tbUA7n3eCCHEnthFQm/9ou3Zs6eVS0I6g9raWnh5eVm7GIQQYhAeYwfNEaVSiZs3b8LDwwM8Hs/axSEOimEY1NbWIjAwEHw+nY0ihNgXu0johBBCCNGNmiGEEEKIA6CETgghhDgASuiEEEKIA6CETgghhDgASuiEEEKIA6CETgghhDgASuiEEEKIA6CETgghhDgASuiEEEKIA6CETgghhDgASuiEEEKIA6CETgghhDgASuiEEEKIA6CETgghhDgASuiEEEKIA6CETgghhDgASuiEEEKIA6CETgghhDgASuiEEEKIA/j/uJscmLIPmocAAAAASUVORK5CYII=" ], "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>"}
[ 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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qYl555RW17Uqq5T377LNMeXk589tvv7HBXSgUMgqFgt1f9XLJtiZOnMjW5/Lly4xUKmVu3LjBHD58mElJSTFTKxJzuHfvntpn4/fff9e5/5IlS9h9x44dy9y8eZO5desW8+STT7LblyxZwu5vbEAHwLz66qtMZWUlc/DgQbUfDKray59hTPsbGTVqFHP58mWmrq6OOX/+vGGNqlo/o48khNgkfQN6XV0d21uKjIxkGIZh8vPz2f1eeOEFNs/g4GCdeQJgJkyYwO6v3Obk5MRUVlay22NiYti0O3fusNt1BfRly5YxABgej8fMnDmT2bp1K3Po0CHm7t27XDcdMbO7d++qfWZOnz6tc3/Vz93Zs2fZ7QUFBez2bt26sduNDegBAQHsXScZhmH8/PwYAIyrq6taProCurF/IwCYsrKyjppOL2ZZ+pVrCoUCt2/fhqenJ92dipgNwzCora1FUFAQ59fwW0tiYmK7a8W7u7tj1qxZ2LVrFwoLC3H27Fl89tlnbPqLL77IPlZd0749YrFYY1uXLl3U1sBXvQypsbFRn5eA5ORkFBcX44cffkBmZia7qqSTkxNmzJiBzz77TGMZYmKb/P394eXlxZ77Pn/+PKKjo9vdX/Vzp3ojKdXz1to+m0ybKyWam5t11qt3797sXSeBls9pRUWFQTcJM/ZvJCAgAN27d9e7HF3sIqDfvn2bsxdMbN/QhL9brezcb9/GjRs30K1bN6vVwZIWLlyIXbt2AQDS0tLwxRdfAAAeeeQRxMTEsPsFBgbi1q1b4PF4uHXrFrp27aqRV9svUUC/m//o2g60XPN76NAhVFVV4dy5cygpKUFmZiZ+/PFHfPHFF0hISMCzzz7b8YslVufk5ISJEyfi888/B9Ay2fG5557T+oOsubmZ/dwBLRPRlPd6UL1kLDAwkH3s6uqKpqYmtZniCoUC165d01kvfT+nuhj7N9LezZ2MYRcB3dPTEwBQUlLCPrYUmUyGY8eOYdSoUUatPmePZVv7NX/6Uyl6hPaAE9+yveSGhgbkfvu2xT9j1vTwww9j0KBByM/PxwcffMD2ZBYuXKi23+TJk/H++++DYRgkJiZi+/bt6NWrFyoqKvCf//wHH3/8MWbOnIm5c+caVQ8/Pz/2S/rMmTNq1x/v2bMHQMv95R9++GHExMSgtLQUP/74IwCgrKzMqDKJdSQnJ+Obb76BRCJBYWEhJk2ahPXr12PAgAGQSCT4z3/+g23btuGdd95BQkIC+4Nz1apV2Lt3L3g8HlatWsXml5CQwD4ODQ3FpUuXIBaLcerUKQwdOhTvvvuuXrfs1oefnx8qKiogFotx69YttfuHmPtvRB92EdCVv5Z8fX3h5eVl0bJlMhnc3d3h5+dnleBmjbKt/ZoFgltwc3cD30rD3o50WicjIwMZGRka20tKSthhy4ULFyI/P58N5h4eHpg5c6ba/qmpqTh27BjOnz+PrKwsDBgwQCNPU3rJjz76KHvnOeUQbGxsLHJycpCbm9vu0tDOzs4al90R29a7d298++23mD59OsRiMQ4dOoRDhw5p3Tc1NRU///wziouLceTIEbUAqsxLdRGluXPnYu3atQBaPlMikQgSiQTu7u6c3H3y0UcfxXfffYe6ujp2FE95WsvcfyP6cIwThYQQoz333HNqoxLPPvusxiiFr68vcnNzsX79ekRHR0MkErH3bRgzZgy2bt1q0n0JUlJSMGvWLAQGBmr8oJoyZQqmT5+OsLAweHp6gs/nw9/fH/Hx8fj5559tbjUx0rFRo0ahqKgI69evx9ChQ+Hj4wOBQIDg4GCMGjUK27dvR+/evREQEIC8vDwkJSVhwIABEAqFcHV1Rf/+/bFmzRrk5eXB39+fzXflypVISkpCSEgIXFxc0K9fPxw8eBCDBw/mpN7vvfceJk6cCD8/P400c/+N6MMuln6tqamBt7c3qqurrdJDP3z4MMaPH2+V3qo1yrb2a37/34Xo3bu3xXvo9Q0NmPZ4Z6t8zgghxFTUQyeEEEIcAAV0QgghxAFQQCeEEEIcAAV0QgghxAFQQCeEEEIcAAV0QgghxAFQQCeEEEIcAAV0QgghxAFQQCeEEEIcAAV0QgghxAFQQCeEEEIcAAV0QgghxAFQQCeEEEIcAAV0QgghxAE4W7sChDzIzi5aBEVDPfvcJTAQ4Zu3WKUuqz+vQIO09W7KAV5OeH2qL6dl3D7wNaf5qQqaPMVseRNiDyigE2JhBfMSAYbRmia9excFiXMBAF6jRyMscZ5Z67IsTQztNQHKaxRYmiYGAAwbIMJzQ93MWhdCiGloyJ0QC6m4fbslWLcTzNuqOXqUDe5cu3PvPpbqCOZtnbpQxwZ3QohtooBOCAcUCgWioqIwfvx4remlH32IsjWrjcqb66C+73gN3vpebtSxth7Ur1y5AmdnZ+zcudPaVSHE4mjInRAOpKeno7CwEHv27NFIu3LmDGpPnNB5fHTGp+xjbQG8IHGu2j7GKiy6hryrXjr32T7fn32sLYAvTROr7WNLevXqhVmzZiElJQWzZ8+Gl5fu12pJ1WfOoCo/D/UlJZBVVUHR1ARBp05w79ETXSZOhFv37kbnLWlU4Kez9bhe3oxblc2Q/fV7bUgvV8wa4cnRK7A/UqkU69atw3//+1/8/vvvqK2tBQDExsYiJydHbd/33nsPOTk5KCwsxL1796BQKBASEoJx48bhtddeQ+fOna3wCgxDPXRCTCSXy5GamorY2FgMGTJEI7323Xd0Hu+1fIVe5WgL9HFxcQgNDdXreADYe0p3gHt+mESvfLQFekPrYi4rV65EeXk5duzYYe2qqCn/OQuVv/6Kxps3IZdIwMhkkN67h6rcU7iY/Aaqz541Ou+qOgV+udCI0vLWYE6A+vp6bN68GTk5OWwwb8/KlSvx9ddf48qVK6ipqYFEIsH58+exdetWREVF4ebNmxaqtfEooBNiosOHD6OsrAxz5szRSNNnuLymg4CvFPD0JEOrpkaf4fK9pzz0yuvJh11Nqos5RUREICoqCnv27IFCoTA6n7KyMoP2L0icq/P95vH58B05Er1fX4eoPR+j/z82w6Nv35ZEuRx3/v1lu8cuTRPrfP/cXHiIHSDEnJEeGBtJkxeVBAIBFi9ejE8++aTDH3h+fn5ITk7GhQsX0NDQgOPHj6Nr164AgD///BNvv/22JapsEhpyJ8RE6enp4PF4mDp1qtF5tAQCHtDONDUuhtv1tTRNDB4DMDzt6bY63K5q+vTpWLt2LbKzszFmzBiDj8/NzcXo0aOxbt06rF5t3NyHtkIXLQbfrTXYCrt0QdCzz+FyagoAoPHOHaPz9vPkY8rQlh9j/7nYYFI9HYlIJGLnUxw5ckTnvkVFRWqnaEaMGIHly5fjtddeAwBcvHjRfBXlCPXQCTEBwzDIyclBv3794OPjo5aWY/DELM1g7uTmxkkw//jrPMNqoiWYCwU8uwjmADB8+HAAwNGjR406Pjw8HDExMVizZg02bdrESZ1Ug7mSQiplH7v4cnvNPzGMtvkW9fWta0Q89NBDlqyOUaiHTogJioqKUFlZifj4eI0079xTJuXNZa/8XHUPk463l0CuNGjQIADAyZMnjTrew8MDP/zwA8aPH4+kpCQwDIOkpCQuqwiFTIY7X/6Lfe7/pOEjCcR8SktL2WF6Pp+PRYsWWblGHaOATogJlBNlAgMDucuUx0N0eoaWze2MgbeTVlJSYvIkNR6AbVqCuTXqYghPT08IhUKtE5lCQ0Nx/fp1g/Jbu3YtoqOj2R9utUVFuPKW9p572/PoA97eCteAALVt8oYGXNuxHXVXrgAAOj36GAL+OjVQfEeK94/UaM277Xn0N6Z1gp8n36DXQjpWVFSE+Ph4VFZWgsfjYdeuXXjkkUesXa0O2VVAl8lkkMlkFi9T9f8HoWxbeM0KueWn6irkhk+gqqioAAB06tSJkzqErX0dXn36aE1LTk7W2Jaeno6qqiosW7ZMI63tKQBDvTJOhLCu2idYWbouxvD19YVYrDmRbNq0aVq3a1NYWIiCggL4+fmhZ8+enNRLdv8+rmx9G403bgAA/EeNRre5c3X+SCKW8+uvv+Lpp5/G/fv34ezsjI8//hiJiYnWrpZe7Cqg//TTT3B3d7dK2VlZWVYp15plW6vcnu4A8+dNWDqkN6ucL9OX21/nRRsauJmIdHXDmwC0D7enpKRobMvJyUFpaanWNFPtOFIHoE7rcLul62KMhoYGrd8X+s5WPnHiBOLj4+Hv74/s7Gz0Vc5IB+DZv7/Ge6Tsmes6VdJw8yaubn0bsspKgMdD16nT0GXiRLV9end10WhzZc/c3k592Jsvv/wSc+bMQVNTE7y8vPDvf//bqEmV1mJXAX3s2LEWXyhCJpMhKysLY8aMgUAgeCDKfhBfM9Da2zZEwF9DqZWVlZzWpSBxLnpu2w5vjnr+pliaJkbKZAE6+Xhbuyp6UygUqK6uRnh4uFHH5+fnY9y4cRAKhcjOzkZkZKTJdaq9eBEl27dBXl8PnrMzHlrwAnz/mrxnKgXDoL6pZVKltLl1cmWznIGksWXkSSjgwZn/4I0CKEdjampaT2PIZDJ2u7u7O9zd3fHuu+/i1VdfBcMwCA4OxuHDhzl53y3JrgK6QCCw+Jf8g1z2g/aajSkvPDwcTk5OKC4u1kirHjrMpIlx15YtBcDN5LiB3iUmTYxLOSADYLsrxLVVXFwMhUKBgQMHGnV87969ERsbi02bNhmdR1t/Hvga8r9GgZjmZlzfvQvXd+9S20fb+XZ93Jco8H//vq+x/XSJFKdLWn5sznzcA0N7C42ouX0L0NKeJ0+eZLcnJycjJSUFK1a0LvB069YtREVFqR0TEhKC0tJSs9bVVHTZGiEm8PHxQWRkJPLz88G0uelK3JIlnJRRkDgX0sZGk/JYMGUwJ3VZmiZGY5Pl51YYKjc3F0DLEp/G8Pb2xqFDhzgL5oRYgl310AmxRZMmTUJKSgry8vK0Lv3KhfMvLmx39rulrcqsBmDb53OzsrLA5/MxYcIEi5XZ0UhK7zXGX/bWUVv7efJt+v2wprY/tE3dz5ZRD50QEy1YsAB8Ph/79u3TSON0hTctXzjKiWj6MPcXviF1Maf6+nocPHgQEydORFBQkLWrQ4jFUEAnxETBwcGYPn06MjMzUVdXp5Hu9eqrnJTDxY+DBcN136BCX7bcG9y/fz8kEgmWL19u7aoQYlEU0AnhwIYNGyCRSPDBBx9opIVFRsF3xAiT8ueqpz+wXw8M7eViUh62HMybm5uxceNGJCQkYOTIkdauDiEWRQGdEA706NEDGRkZEIlEWtNDFryAkLf+YVTeXN+YZeYIL6yZYNz0GVsO5kDLyn2zZ8/GO+/odwc7QhwJTYojhCMzZszQme7btSt8Mz5FwbxErefD23poYgL8pk3jqnpqugT4YPt8YFmauJ37u6l7opcHEkbY/iVPoaGhNrOwDSGWRgGdEAtTnaleuGQx5Crn3V27dsUAI3vyxlBdp31Nphj1Ta1pnb35WDvF+gvbEEL0QwGdECuK3Lmr450sZNNM8w+nB02eYvYyCHlQ0Tl0QgghxAFQQCeEEEIcAAV0QgghxAFQQCeEEEIcAAV0QgghxAFQQCeEEEIcAAV0QgghxAHQdeiEWNHZRYugaKhnn7sEBiJ88xar1GX15xVokLauGxfg5YTXp/pyWsYPpyWc5qcq/hEPs+VNiD2ggE6Ihela+lV69y4KEucCALxGj0ZY4jyz1kXX0q/lNQosTRMDAIYNEOG5oW5mrQshxDQ05E6IhVTcvt0SrPVYxx0Aao4eZYM71+7cu4+leq7jDgCnLtSxwZ0QYpsooBPCAYVCgaioKIwfP15reulHH6JszWqj8uY6qO87XoO3vpcbdaytB/UrV67A2dkZO3futHZVCLE4GnInhAPp6ekoLCzEnj17NNKunDmD2hMndB6veotUbQG8IHEuJ7dRLSy6hryrXjr3Ub1FqrYAvjRNbLO3Ue3VqxdmzZqFlJQUzJ49G15eul+rJclqanD3u29Rf+0a6q9fByOTAQB8H38cIS8sNCnv8zekOHu9CWXlzahpUKCpmYGPuxMe8nfGmEh3BPnSV73S6dOn8eabb6KwsBDl5eWoq6uDt7c3IiIiMHv2bCxYsAA8Hs/a1TQK9dAJMZFcLkdqaipiY2MxZMgQjfTad3Xfm9tr+Qq9ytEW6OPi4hAaGqrX8QCw95TuAPf8MP0mrWkL9IbWxVxWrlyJ8vJy7Nixw9pVUSO7fx/lP/2EuitX2GDOleNFDcgtbsKdKjnqmhg0ywFxrQKnS6TY8m0VLtyUclqePbtw4QIOHDiAq1evoqamBnK5HJWVlTh+/DgWLlyIv//979auotEooBNiosOHD6OsrAxz5szRSNNnuLymg4CvFPD0JEOrpkaf4fK9p/SbKf7kw64m1cWcIiIiEBUVhT179kChUBidT1lZmUH7FyTO1fl+893dETB2LEIWLULgxASD8l6aJtb5/vGdgKG9XbFsvDe2zPHD2imdEBbY0itXMMCh3+vaPfZBExYWht27d6O4uBgNDQ24efMmEhMT2fS9e/dasXamoXEYQkyUnp4OHo+HqVOnGp1HSyDgAe1MU+NiuF1fS9PE4DEA086oo60Ot6uaPn061q5di+zsbIwZM8bg43NzczF69GisW7cOq1cbN/ehLdeAAHSbNRsAID56lJM8leaO9ITQpbV/1tmbj6cHi/DOoWoAwN1q4+ZMOKLhw4dj+PDh7PPg4GCsWLECGRkZAAAXFxdrVc1k1EMnxAQMwyAnJwf9+vWDj4+PWlqOwROzNIO5k5sbJ8H846/zDKuJlmAuFPDsIpgDYL+wjxoZOMPDwxETE4M1a9Zg06ZNXFbNLFSDuZJMJYZ3EtFXvTYKhQI3btzAO++0jpKtWKHfKTBbRD10QkxQVFSEyspKxMfHa6R5554yKW8ue+XnqnuYdLy9BHKlQYMGAQBOnjxp1PEeHh744YcfMH78eCQlJYFhGCQlJXFZRbNqljP4Lr91mH1Ef1pDoK1hw4YhNzeXfe7s7IzNmzdj+fLlVqyVaSigE2KCmzdvAgACAwO5y5THQ3R6hpbN7c+81ZZWUlJi8iQ1HoBtWoK5NepiCE9PTwiFQvb9URUaGorr168blN/atWsRHR3N/nCrLSrClbe099zbnkcf8PZWuAYE6F1W8R0p3j9SozWt7Xn0N6Z1gp8nX21bo1SBvUdrUVreDAAYHOaKkf2Fepf/oGpubsaKFSsgk8nw2muvWbs6RrGrgC6TySDjeHaoPmWq/v8glP0gvmZjy6yoqAAAdOrUiZM6hK19HV59+mhNS05O1tiWnp6OqqoqLFu2TCOt7SkAQ70yToSwrtp7dpauizF8fX0hFmtOJJs2bZrW7doUFhaioKAAfn5+6NmzJ9dV5Fx1vRy7f6rB7fst4+2P9RVi2nCR3V6GZU6nTp2CXC7Hn3/+ib1797Kf6ddffx3z589HgAE/wmwFj2H0XLbKimpqauDt7Y3MzEy4u7tbuzrEQdXX12PmzJmorq7W+/rlgwcPYvLkyUhKSsKGDRvU0kxZEEbf4fa4uDiUlpaitLRU536mLAij73C7PnWx5Fruvr6+cHV1xZ07d4zK78SJE4iPj4erqyuys7MRGRmpc3/l+63Peyc+ehQ3MtJb6qnHdejK90/Xe3HnfjN2Z9Wgqk4BHoCnYtwxJpK+L/Xl4+OD6uqWSYSnTp3C0KFDrVwjw9lVD33s2LEWXyhCJpMhKysLY8aMgUAgeCDKfhBfM9Da2zaE8ld8ZWUlp3UpSJyLntu2w5ujnr8plqaJkTJZgE4+3tauit4UCgWqq6sRHh5u1PH5+fkYN24chEKhXsFcH4xCAXldy3lteVNTa11lzWiurQUAOAmFcDLic3/lTxk+zq5Bg5QB3wmYNcITMT1t99JCa1q2bBlGjBiBmJgYBAUFobKyEnv37mWDOZ/PR48eps05sRa7CugCgcDiX/IPctkP2ms2przw8HA4OTmhuLhYI6166DCTJsZdW7YUADeT4wZ6l5g0MS7lgAyA7a4Q11ZxcTEUCgUGDhxo1PG9e/dGbGwsNm3aZHQebUkrKnDh769qbK/KPYWqvz4nDy14AX4jRhic9w8Fdeyd8uQK4NNfavHpL7Vq+2g73/4gOnjwILZv395u+po1a9C5c2cL1og7dC0DISbw8fFBZGQk8vPz0fbsVdySJZyUUZA4F9LGRpPyWDBlMCd1WZomRmOT5ec3GEo5ezk2Ntao4729vXHo0CHOgjmxHYsWLUJcXBy6du0KFxcXuLi4oHv37pg8eTIOHTqE9evXW7uKRrOrHjohtmjSpElISUlBXl6e1qVfuXD+xYXtzn63tFWZLUOTttxbz8rKAp/Px4QJEyxWZkcjKa4BAUaPtnTU1i/H+xiV74No9erVnC0WZGuoh06IiRYsWAA+n499+/ZppHG6wpuW+as5OTkdTohTMncANqQu5lRfX4+DBw9i4sSJCAoKsnZ1CLEYCuiEmCg4OBjTp09HZmYm6uo018z2elXzvKkxuPhxsGB4bcc76cGWe+f79++HRCKx6wVCCDEGBXRCOLBhwwZIJBJ88MEHGmlhkVHwNWKikyquevoD+/XA0F6mrVVty8G8ubkZGzduREJCAkaOHGnt6hBiURTQCeFAjx49kJGRAZFIpDU9ZMELCHnrH0blzfWNWWaO8MKaCcZNn7HlYA60rNw3e/ZstbW5CXlQ0KQ4QjgyY8YMnem+XbvCN+NTFMxL1Ho+vK2HJibAb9o0rqqnpkuAD7bPB5alidu5v5u6J3p5IGGE7S8fGhoaipSUFGtXgxCroIBOiIWpzlQvXLKYXWwEAFy7dsUAI3vyxlBdp31Nphj1reudoLM3H2unWH9hG0KIfiigE2JFkTt3WbsKrE0zzT+c3nZ5VkIId+gcOiGEEOIAKKATQgghDoACOiGEEOIAKKATQgghDoACOiGEEOIAKKATQgghDoACOiGEEOIA6Dp0Qqzo7KJFUDTUs89dAgMRvnkLp2XcPvA1p/mpCpo8xWx5m2r15xVokLaugxfg5YTXp/pyWsYPpyWc5qeKrtknhqKAToiF6Vr6VXr3LgoS5wIAvEaPRljiPAvWzP7pWsq2vEaBpWliAMCwASI8N9TNchUjxAJoyJ0QDigUCkRFRWH8+PHt7lNx+3ZLsNZjHXcAqDl6lA3utu7KlStwdnbGzp07Oc9bn7a9c+8+luq5Lj0AnLpQxwZ3W2fOtiWOhQI6IRxIT09HYWFhuzcGKf3oQ5StWW1U3vYQ1Hv16oVZs2YhJSUFNTU1nObdUdvuO16Dt76XG5W3PQR1c7YtcSwU0AkxkVwuR2pqKmJjYzFkyBCN9CtnzuD+iRM684jO+JT9p409BPWVK1eivLwcO3bs4CzPjtq2sOga8q5Kdeaxfb4/+08bewjq5mhbrshqanBz32c4/+oKnHn+bzj30v+i5P330FBWZnLetQ0KfHVKgtQvK7EiQ4y1X1Qg7VgNblU2m5SvVCrFqlWrMGrUKHh5eYHH44HH4yEuLs7kOlsTBXRCTHT48GGUlZVhzpw5WtNr39V9b26v5Sv0KkdbUI+Li0NoaKhex5tbREQEoqKisGfPHigUCp376lvvjtp27ykvncc/P0y/SWvagrq9tq0lyaqqcDk1BeVZWZCKxWCam9FcW4uqvDxcWv9/qL140ei8q+sVeOdQFY4XNaJSooBcAUgaGZwpleLdQ1W48qfM6Lzr6+uxefNm5OTkoLa21uh8bA0FdEJMlJ6eDh6Ph6lTp2qk6dOzrukg4CsFPD3J0KpZ3PTp01FWVobs7GxO8tPVtvr0rPee0m+m+JMPuxpcN0sztW3LjOgxFyTO1fkZvpn5OaTilvchYOz/YOAHOxGyaDHA44GRSlG25yMwcu2nQ5amiXW+hwf+K0GlpOXHS+wAITbO9MXcWE/weIBMDnz+ay3kCn1nTagTCARYvHgxPvnkE5sc9TAWzXInxAQMwyAnJwf9+vWDj4+P0fm0fGnygHamdbU3FG9rhg8fDgA4evQoxowZY1JeXLXt0jQxeAzA8LSntzcUb2tMadvc3FyMHj0a69atw+rVxs3laKu5rg5V+fkAAJ5AgKBnnoGTiwt8hw9HRU4OJBeLIBWLUfPHH/COijIo7/omBc6WtpxKEfCBiTEiCJx5iOnpipOXGnHlTxkqJQpcui3DgG4uBtddJBKxkwyPHDli8PG2inrohJigqKgIlZWVeOSRRzTScgyelawZzJ3c3OwmmAPAoEGDAAAnT540OS9dbfvx13kG5aUtmAsFPLsJ5oBpbRseHo6YmBisWbMGmzZt4qQ+DdevA3/1vl0Du8DJpTWwunXvxj6uv3rV4LxvVjRD2fn29+JD4Nz6BgZ14rOPS8uNH3Z3RNRDJ8QEN2/eBAAEBgZqpHnnnjIpb3sK5Eqenp4QCoVsu5hCV9ueq+5hUt72FMiVTGlbDw8P/PDDDxg/fjySkpLAMAySkpJMqo+supp9zHd3V0tzcmu9xl9WUw1D1Ta2/rh1d1H/NSZUeV7bYNyQu6Oyq4Auk8kgk1n2F5myPEuXa82yH8TXbGyZFRUVAIBOnTpxVxEeD9HpGVo2tzNm3E5aSUmJVSZ1+fr6QixuPTdqbL3N0bY8ANu0BHN7bVsACA0NxfXr1w3KZ+3atYiOjkZ8fDy7rbaoCFfe0t57b3sefcDbW9vswbT7lAceiu9I8f4R7ZfctT2P/sY09fdbI2Sr5U1U2VVA/+mnn+De5pegpWRlZem9b3NzMx76OQvO9fVa0/944kl4eXubpWwuWatca5Vd3877pYvbXz2RhoYGTuoQtvZ1ePXpozUtOTlZY1t6ejqqqqqwbNkyjTRTzjuboqGhQe3v1Nh6c922r4wTIayr9tXh7LVtAWDatGkaQb49hYWFKCgogJ+fH3r27GlSXQQq32HyNn87cpXljJ29dV+JoI2nsDVUNzSph/QGWetzTzcK6arsKqCPHTsWXl6GfzhMIZPJkJWVhTFjxkAgEOjct2j5cshrO174ISL7Z/Zx+J6P2+0dGFI2l6xVrrXLVvYIDREQEAAAqKys5KQOVze8CUD7cLu2hVVycnJQWlra7qIrlqZQKFBdXY3w8HB2m7H15rptdxypA1CndbjdXtsWAN5++229jj9x4gTi4+Ph7++P7Oxs9O3bVy3ds39/jc+dsmeu7fPoLBKBx+eDkcvRdPcuFFIpex69UeW0gHvPMHTt6qLR7sqeubb3w92VB74TIFcA4lo5ZM0Mex79zv3Wa9BDAiz7HWHr7CqgCwQCi3/J61P25fXrUXel2Kh8z7+wAIDu86XWet222t7mLNNQ4eHhcHJyQnGxce9/ewoS56Lntu3w5nIo3wKKi4uhUCgwcOBAk/MyV9suTRMjZbIAnXz0HyWzBaa0bX5+PsaNGwehUIjs7GxERkaaXB++uzu8Bw1GVe4pMDIZbn/5JbpMmoTac+cguXQJAODi7w+viAiD83ZzcUJUiAtOl0ghkwPf/V6HcQ+74+ItGa7ebQnovh5O6Btk/HeEclRDdfU9mUzGbnd3d7faiLCxaJa7iQoS5xodzNvm00jLOtodHx8fREZGIj8/H0ybNdqrhw4zKe9ry5baxQpxqnJzcwEAsbGxJuelq20HepeYlHfKAZldrBCnypS27d27N2JjY3H06FFOgrlSt5kz4eLf0sMu/+lHnFuyGKW7dgIMA56LCx56YSF4fH4HuWg3aYgHfD1aQtQvFxqxJrMSGb/UgmFaLmWbNcITfCfjh9wDAgIQEBCAGTNmsNtOnjzJbt+8ebPReVsLBXQTcP1lW/TyS7h4+DCneRLzmzRpEqqrq5GXp34pVdySJZzkX5A4F9LGRk7yMresrCzw+XxMmDCBk/zaa9sFUwZzkv/SNDEam+zj0idT2tbb2xuHDh3iZORElcDHB32SU+D/5JNw8fcHj8+Hs6cnfAYNRt91b8CzXz+j8/Z2d8KKCT4Y0V8IXw8n8J0AkSsPUSEuWD7BB7260HB7W3Y15G5LDAnmqsPpDMPgzLzEdvdt+Od+1MbEwFPLpTrENi1YsADr16/Hvn37tK43zoXzLy5sd/a7raivr8fBgwcxceJEBAUFcZKnJdp2VWbLZVW2fCmbOdpWH/pcOinw8kL3OXOBOYZ1cPRpb083J0wb5oFppg12adV21McRUA/dCIYEc5/Bg9Se83g8wFn376grr600ql7EOoKDgzF9+nRkZmairq5OLY3Ta8m1fAEpJ27Zgv3790MikWD58uUd7qtvvXW1rbkDsL22LXlwUUA30Pn3DFv3VzrsUY1tfda+3uFxfyxfZlA5xLo2bNgAiUSCDz74QCPN69VXOSnDlheaaW5uxsaNG5GQkICRI0dymreutl0wnJsba9hy79ycbUscCwV0A0n/WrtYX/VafgBc/r/UDo+LeHebQeUQ6+rRowcyMjIgEok00sIio+A7YoRJ+dtyMAdaVnWbPXs23nlHvxvNGEJX2w7s1wNDexm+lrcqWw7mgHnbljgWOodugBufGfeleik1BX2TUwAAF19/XevQqSpb//Im2qnOlm0rZMEL8HxqAq6vXmVwvvbweQgNDTXr9dq62nbmCC+M7leFTYcMv0e2rQdzwPxtSxwH9dANIP7554530qL+2jX2NoQNN9q/haFbjx528eVNjOPbtWvL+6tjmVFVD01MoM+DnroE+GD7fH+9lwJ9opeHXQRzQgxBPXQbQV/cDw7VmeqFSxZDrjLZy7VrVwx46x/WqJZDUF2nfU2mGPVNrWmdvflYO8W+FuohxBAU0PV01cjeeYecnRG99xPz5E1sXuTOXWYvI2jyFLOXYYs2zTR/Dzz+EQ+zl0GIviig60lmhgVfIvd+An4Hl7ARQggh+qBooqdmI+7p2y4bXyCEEEKI/aGArqeC0P/hJJ9+Mb3waMJQTvIihBBClCig6+ksRwH9bAXwzzQxzbAlhBDCKbpsTU9ebsbf1UebpWliZP/nDKd5EkIIeXBRQNdTbE8J53l+W9wNy+zsFo6EEEJsEwV0PcVGm+cORwxaeuunLlBgJ4QQYjw6h24jvsgFvsilc+sPmrOLFkHRUM8+dwkMRPjmLZyW8cNp7keXlGz5OuzVn1egQdq6zHKAlxNen+rLaRm3D3zNaX6qHtT1A4jxKKAbYGR/IY4XNZq1jKVpYsyOFmPww/3MWg6xnoJ5ie2u5y+9e5e9Pa/X6NEIS5xnwZrZv2VpYrR3p4TyGgWW/nWKa9gAEZ4b6ma5ihFiATTkboCpwyzTG9lX4I8NX1dapCzCDYVCgaioKIwfP77dfSpu324J1h3cnEep5uhRNrjbuitXrsDZ2Rk7d+7kPG992vbOvftYqiOYt3XqQh0b3G2dOduWOBYK6AaKDJJapJzyaoVFyiHcSE9PR2FhYbt3xSr96EOUrVltVN72ENR79eqFWbNmISUlBTU1NZzm3VHb7jteg7e+lxuVtz0EdXO2LXEsFNAN9Pz/mGdyXFvb6Fy63ZDL5UhNTUVsbCyGDBmikX7lzBncP3FCZx7RGZ+y/7Sxh6C+cuVKlJeXY8eOHZzl2VHbFhZdQ95V3T+yt8/3Z/9pYw9B3RxtyxVZTQ1u7vsM519dgTPP/w3nXvpflLz/HhrK2r+zpL5qGxT46pQEqV9WYkWGGGu/qEDasRrcqjT8VrmqpFIpVq1ahVGjRsHLyws8Hg88Hg9xcXEm19maKKAbwdwT116f5G7W/Am3Dh8+jLKyMsyZM0dreu277+g83mv5Cr3K0RbU4+LiEBoaqtfx5hYREYGoqCjs2bMHCoXuESZ9691R2+495aXz+OeH6TchUFtQt9e2tSRZVRUup6agPCsLUrEYTHMzmmtrUZWXh0vr/w+1Fy8anXd1vQLvHKrC8aJGVEoUkCsASSODM6VSvHuoClf+lBmdd319PTZv3oycnBzU1tYanY+toYBuJHMF9QkD6hDQiQK6PUlPTwePx8PUqVM10vTpWdd0EPCVAp6eZGjVLG769OkoKytDdnY2J/npalt9etZ7T+k37+XJh10Nrpulmdq2ZUb0mAsS5+r8DN/M/BxSccv7EDD2fzDwg50IWbQY4PHASKUo2/MRGLn20yFL08Q638MD/5WgUtLy4yV2gBAbZ/pibqwneDxAJgc+/7UWcoW+sybUCQQCLF68GJ988olNjnoYi2a5m2D7fH9Oh+s2zPCChzsNtdsThmGQk5ODfv36wcfHx+h8Wr40eUA707raG4q3NcOHDwcAHD16FGPGjDEpL67admmaGDwGYNpZ7NFeLhU1pW1zc3MxevRorFu3DqtXGzeXo63mujpU5ecDAHgCAYKeeQZOLi7wHT4cFTk5kFwsglQsRs0ff8A7KsqgvOubFDhb2nIqRcAHJsaIIHDmIaanK05easSVP2WolChw6bYMA7q5GFx3kUjETjI8cuSIwcfbKuqhm2j7fH/06mL676Lt8/3h4W74B5NYV1FRESorK/HII49opOUYPCtZM5g7ubnZTTAHgEGDBgEATp48aXJeutr246/zDMpLWzAXCnh2E8wB09o2PDwcMTExWLNmDTZt2sRJfRquXwf+6n27BnaBk0vr95db927s4/qrVw3O+2ZFM5Sdb38vPgTOrW9gUCc++7i03Phhd0dEPXQOvBzvAwBYt78CNQ2GDQFtm+cHHo/bdeKJ5dy8eRMAEBgYqJHmnXvKpLztKZAreXp6QigUsu1iCl1te666h0l521MgVzKlbT08PPDDDz9g/PjxSEpKAsMwSEpKMqk+surWW0rz3dVPEzq5tV7jLzPi1tO1ja3fo+4u6t+PQpXntQZ+3zo6uwroMpkMMpllf5Epy9On3DemtkzQkUql2Hq4CRUS7ZNX1sTL4efXsmJVc3P7szUNKZtL1irXVso2REVFBQCgU6dO3FWEx0N0eoaWze3/8NOWVlJSYpVJXb6+vhCLW09FGVtvc7QtD9qvILHXtgWA0NBQXL9+3aB81q5di+joaMTHx7PbaouKcOUt7b33tufRB7y9tc0eTLtPeeCh+I4U7x/Rfsld29OWb0xTf781QrZa3kSV3QT0hVGR+P2D9yEQCCxf+IBwZGVlGXRIlAuAdlaZzM01rHhDy+aKtcq1Vtn19fUd79SG2189kYaGBk7qELb2dXj16aM1LTk5WWNbeno6qqqqsGzZMo00U847m6KhoQHuKj02Y+vNddu+Mk6EsK7aV4ez17YFgGnTpmkE+fYUFhaioKAAfn5+6Nmzp0l1EXh7s4/lbf525CrLGTt7674SQRtPYWuobmhSD+kNstbnnhzfBdPe2U1AB4CwsDC4ulp2NqpcocAZAGPGjLH4jwmZTIasrCyLl22tcq1dtrJHaIiAgAAAQGUlNyv7Xd3wJgDtw+3aFlbJyclBaWlpu4uuWJpCoUB1dTXCw8PZbcbWm+u23XGkDkCd1uF2e21bAHj77bf1Ov7EiROIj4+Hv78/srOz0bdvX7V0z/79NT53yp65ts+js0gEHp8PRi5H0927UEil7Hn0RpXTAu49w9C1q4tGuyt75treD3dXHvhOgFwBiGvlkDUz7Hn0O/dbRzVDAqzQwbNhdhXQnfh8OPH5He9oBgKBwDqjA1Ys+0F7zcaUFx4eDicnJxQXF3Nal4LEuei5bTu8uRzKt4Di4mIoFAoMHDjQ5LzM1bZL08RImSxAJx/vjne2Iaa0bX5+PsaNGwehUIjs7GxERkaaXB++uzu8Bw1GVe4pMDIZbn/5JbpMmoTac+cguXQJAODi7w+viAiD83ZzcUJUiAtOl0ghkwPf/V6HcQ+74+ItGa7ebQnovh5O6Btk/HeEclRDdfU9mUzGbnd3d9cYDbF1dhXQCbE1Pj4+iIyMRH5+PhiGUTvfWj10mEkT464tWwrAvibH5f51Pik2NtbkvHS17UDvEpMmxqUckAGwr7sbmtK2vXv3RmxsLDZt2sTJjy2lbjNnov7qFUjFYpT/9CPKf/qRTeO5uOChFxaCZ2QnbNIQD5SWV6FSosAvFxrxy4XWG2MJ+MCsEZ7gOxk/5K4cAVJ18uRJdntycrLNjM7oiy5bI8REkyZNQnV1NfLy1C+liluyhJP8CxLnQtpo3rv8cSUrKwt8Ph8TJkzgJL/22nbBlMGc5L80TYzGJvu49MmUtvX29sahQ4c4DeYAIPDxQZ/kFPg/+SRc/P3B4/Ph7OkJn0GD0XfdG/DsZ/xdI73dnbBigg9G9BfC18MJfCdA5MpDVIgLlk/wQa8uNNzeFvXQCTHRggULsH79euzbt0/reuNcOP/iwnZnv9uK+vp6HDx4EBMnTkRQEDf3PLBE267KbLmsypZ76+ZoW33oMzok8PJC9zlzgTmG3W9An/b2dHPCtGEemDbMoKz1wuh510N7Qj10QkwUHByM6dOnIzMzE3V1dWppnA6Xa/kCUk7csgX79++HRCLB8uXLO9xX33rraltzB2B7bVvy4KKATggHNmzYAIlEgg8++EAjzevVVzkpw5bPpTc3N2Pjxo1ISEjAyJEjOc1bV9suGM7NjTVsuXduzrYljoUCOiEc6NGjBzIyMiASiTTSwiKj4DtihEn523IwB1pWdZs9ezbeeUe/G80YQlfbDuzXA0N7mbZksi0Hc8C8bUscC51DJ4QjM2bMaDctZMEL8HxqAq6vXmVwvrYezIGW1crMOSNYV9vOHOGF0f2qsOmQ4ffItvVgDpi/bYnjoB46IRbi27VrS3DWc+3+hyYm2EUwtwVdAnywfb6/3kuBPtHLwy6COSGGoB46IRamOlO9cMliyFUme7l27YoBb/3DGtVyCKrrtK/JFKO+qTWtszcfa6fY10I9hBiCAjohVhS5c5fZy4h/xMPsZdiiTTPN3wMPmjzF7GUQoi8acieEEEIcAAV0QgghxAFQQCeEEEIcAAV0QgghxAFQQCeEEEIcAAV0QgghxAFQQCeEEEIcAAV0QgghxAFQQCeEEEIcAAV0QgghxAFQQCeEEEIcAAV0QgghxAFQQCeEEEIcAAV0QgghxAFQQCeEEEIcAAV0QgghxAFQQCeEEEIcgLO1K6APhmEAAE1NTRYvWyGXo17WjJqaGggEAouWLZPJUF9fb/GyrVWutcuura0F0Pp5I4QQe8Jj7ODb6+bNm+jevbu1q0EeEDdu3EC3bt2sXQ1CCDGIXQR0hUKB27dvw9PTEzwez9rVIQ6KYRjU1tYiKCgITk50NooQYl/sIqATQgghRDfqhhBCCCEOgAI6IYQQ4gAooBNCCCEOgAI6IYQQ4gAooBNCCCEOgAI6IYQQ4gAooBNCCCEOgAI6IYQQ4gAooBNCCCEOgAI6IYQQ4gAooBNCCCEOgAI6IYQQ4gAooBNCCCEOgAI6IYQQ4gAooBNCCCEOgAI6IYQQ4gAooBNCCCEOgAI6IYQQ4gAooBNCCCEO4P8BxL8KvibJAPAAAAAASUVORK5CYII=" ], "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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vv6yyXUG5vGeeeYaprKxkfv31Vza4i0QiRi6Xs/srXy7Z0eTJk9n6XLx4kZFIJMy1a9eYAwcOMKmpqSZqRWIKd+7cUXlv/Pbbb1r3X7ZsGbvv+PHjmevXrzM3btxgnnjiCXb7smXL2P0NDegAmFdeeYWprq5m9u/fr/KDQVln+TOMcZ+RMWPGMBcvXmQaGxuZs2fP6teoyvUz+EhCiFXSNaA3NjayvaXw8HCGYRimsLCQ3e+5555j8wwMDNSaJwBm0qRJ7P6KbQ4ODkx1dTW7PSoqik27desWu11bQE9KSmIAMDwej5k9ezbz1ltvMTk5Oczt27e5bjpiYrdv31Z5z5w8eVLr/srvu9OnT7Pbi4qK2O0PPPAAu93QgO7n58fedZJhGMbHx4cBwDg5Oankoy2gG/oZAcBUVFR01XQ6McnSr1yTy+W4efMm3N3d6e5UxGQYhkF9fT0CAgI4v4bfUhISEjpdK97FxQVz5szBBx98gOLiYpw+fRqfffYZm/7888+zfyuvad8ZsVistq1Hjx4qa+ArX4bU0tKiy1NASkoKSktL8f333yM7O5tdVdLBwQGzZs3CZ599prYMMbFOvr6+8PDwYM99nz17FpGRkZ3ur/y+U76RlPJ5a03vTabDlRJtbW1a69WvXz/2rpNA+/u0qqpKr5uEGfoZ8fPzQ69evXQuRxubCOg3b97EhklPWqz8j04XW6xsYn7Xrl3DAw88YOlqmMWSJUvwwQcfAAAyMjLwxRdfAAAefvhhREVFsfv5+/vjxo0b4PF4uHHjBnr27KmWV8cvUUC3m/9o2w60X/Obk5ODmpoanDlzBmVlZcjOzsYPP/yAL774AvHx8XjmmWe6frLE4hwcHDB58mR8/vnnANonOz777LMaf5C1tbWx7zugfSKa4l4PypeM+fv7s387OTmhtbVVZaa4XC7HlStXtNZL1/epNoZ+Rjq7uZMhbCKgu7u7AwASExPhJBSatWyZXI5YRwHGjBlj0OpzxpBKpThy5IjZy7ZUuZYuu7q6Gv3792ffb/eDhx56CEOHDkVhYSHee+89tiezZMkSlf2mTp2Kd999FwzDICEhAdu3b0ffvn1RVVWF//73v/j4448xe/ZszJ8/36B6+Pj4sF/Sp06dUrn+eNeuXQDa7y//0EMPISoqCuXl5fjhhx8AABUVFQaVSSwjJSUF33zzDRoaGlBcXIwpU6Zgw4YNGDx4MBoaGvDf//4X27Ztw9atWxEfH8/+4Fy1ahV2794NHo+HVatWsfnFx8ezfwcHB+PChQsQi8U4ceIERowYgbffflunW3brwsfHB1VVVRCLxbhx44bK/UNM/RnRhU0EdMWvJWdnZ5X7dZuDXCaDi0AIHx8fiwQ3FxcXs5dtqXItXbaCPZ3WycrKQlZWltr2srIydthyyZIlKCwsZIO5m5sbZs+erbJ/Wloajhw5grNnzyI3NxeDBw9Wy9OYXvIjjzzC3nlOMQQbExODvLw85Ofnd7o0tKOjo9pld8S69evXD//5z38wc+ZMiMVi5OTkICcnR+O+aWlp+Omnn1BaWoqDBw+qBFBFXsqLKM2fPx9r164F0P6ecnV1RUNDA1xcXDi5++QjjzyCb7/9Fo2NjewonuK0lqk/I7qwjxOFhBCDPfvssyqjEs8884zaKIW3tzfy8/OxYcMGREZGwtXVlb1vw7hx4/DWW28ZdV+C1NRUzJkzB/7+/mo/qKZNm4aZM2ciJCQE7u7u4PP58PX1RVxcHH766SerW02MdG3MmDEoKSnBhg0bMGLECHh5eUEgECAwMBBjxozB9u3b0a9fP/j5+aGgoADJyckYPHgwRCIRnJycMGjQIKxZswYFBQXw9fVl8125ciWSk5MRFBQEoVCIgQMHYv/+/Rg2bBgn9X7nnXcwefJk+Pj4qKWZ+jOiC5tY+rWurg4rR4/C6tWrLdJD/00gxMSJEy3SWz1w4IDZy7ZUuZYuu6qqCr6+vqitrYWHh4dZyyaEEGNRD50QQgixAxTQCSGEEDtAAZ0QQgixAxTQCSGEEDtAAZ0QQgixAxTQCSGEEDtAAZ0QQgixAxTQCSGEEDtAAZ0QQgixAxTQCSGEEDtAAZ0QQgixAxTQCSGEEDtAAZ0QQgixAxTQCSGEEDvgaOkKEHI/O710KeTNTexjob8/QjdvsUhdVn9ehWbJvbsp+3k4YN10b07LuLnva07zUxYwdZrJ8ibEFlBAJ8TMihYkAAyjMU1y+zaKEuYDADzGjkVIwgKT1iUpQwzNNQEq6+RIzBADAEYOdsWzI5xNWhdCiHFoyJ0QM6m6ebM9WHcSzDuqO3yYDe5cu3XnLhK1BPOOTpxrZIM7IcQ6UUAnhANyuRwRERGYOHGixvTyjz5ExZrVBuXNdVDfc7QOb3wnM+hYaw/qly5dgqOjI95//31LV4UQs6Mhd0I4kJmZieLiYuzatUst7dKpU6g/dkzr8ZFZn7J/awrgRQnzVfYxVHHJFRRc9tC6z/aFvuzfmgJ4YoZYZR9r0rdvX8yZMwepqamYO3cuPDy0P1dzqj11CjWFBWgqK4O0pgby1lYIunWDS+8+6DF5Mpx79TI474YWOX483YSrlW24Ud0G6Z+/14b3dcKcUe4cPQP7cPLkSbz++usoLi5GZWUlGhsb4enpibCwMMydOxeLFy8Gj8ezdDUNQj10Qowkk8mQlpaGmJgYDB8+XC29/u2tWo/3WL5Cp3I0BfrY2FgEBwfrdDwA7D6hPcAtGtmgUz6aAr2+dTGVlStXorKyEjt27LB0VVRU/pSL6l9+Qcv165A1NICRSiG5cwc1+SdwPuU11J4+bXDeNY1y/HyuBeWV94I50ezcuXPYt28fLl++jLq6OshkMlRXV+Po0aNYsmQJXn31VUtX0WAU0Akx0oEDB1BRUYF58+appekyXF7XRcBX8Htqir5VU6HLcPnuE2465fXEQ05G1cWUwsLCEBERgV27dkEulxucT0VFhV77FyXM1/p68/h8eI8ejX7r1iNi18cY9I/NcBswoD1RJsOtf3/Z6bGJGWKtr5+zkIeYwSLMG+2G8eE0eVGbkJAQ7Ny5E6WlpWhubsb169eRkJDApu/evduCtTMODbkTYqTMzEzweDxMnz7d4DzaAwEP6GSaGhfD7bpKzBCDxwBMJ6OO1jrcrmzmzJlYu3YtDh06hHHjxul9fH5+PsaOHYv169dj9WrD5j50FLz0BfCd7wVbUY8eCHjmWVxMSwUAtNy6ZXDePu58TBvR/mPsv+ebjaqnvYuOjkZ0dDT7ODAwECtWrEBWVhYAQCgUWqpqRqMeOiFGYBgGeXl5GDhwILy8vFTS8vSemKUezB2cnTkJ5h9/XaBfTTQEc5GAZxPBHAD7hX348GGDjg8NDUVUVBTWrFmD9PR0TuqkHMwV5BIJ+7fQm9tr/knX5HI5rl27hq1b742SrVih2ykwa0Q9dEKMUFJSgurqasTFxamleeafMCpvLnvlZ2p7G3W8rQRyhaFDhwIAjh8/btDxbm5u+P777zFx4kQkJyeDYRgkJydzWUXIpVLc+vJf7GPfJ/QfSSCGGzlyJPLz89nHjo6O2Lx5M5YvX27BWhmHAjohRrh+/ToAwN/fn7tMeTxEZmZp2Nz5zFtNaWVlZUZPUuMB2KYhmFuiLvpwd3eHSCRiXx9lwcHBuHr1ql75rV27FpGRkewPt/qSElx6Q3PPveN59MFvvgUnPz+VbbLmZlzZsR2Nly4BALo98ij8/jw1UHpLgncP1mnMu+N59NdmdIOPO1+v50I0a2trw4oVKyCVSvG3v/3N0tUxiE0FdLlMBrnMvFM4ZX9OqpFKpWYtV7lMc5dtqXKtpWx9VFVVAQC6devGSR1C1q6DR//+GtNSUlLUtmVmZqKmpgZJSUlqaR1PAejr5QmuCOmpeYKVuetiCG9vb4jF6hPJZsyYoXG7JsXFxSgqKoKPjw/69OnDSb2kd+/i0ltvouXaNQCA75ixeGD+fJu9VMpWnThxAjKZDH/88Qd2797NvqfXrVuHhQsXwq/DjzBbwGMYHZetsqC6ujp4enoiOzsbLi4ulq6OWV1pesBiZfdxUe/d2LOmpibMnj0btbW1Ol+/vH//fkydOhXJycnYuHGjSpoxC8LoOtweGxuL8vJylJeXa93PmAVhdB1u16Uu5lzL3dvbG05OTrhl4GSzY8eOIS4uDk5OTjh06BDCw8O17q94vbW9ds3Xr+PyW29CWl0N8HjoOX0Gekye3GVdFK+fLq/Ff88348tfGwHQdej68PLyQm1tLYD2YD9ixAgL10h/NtVDHz9+vNkXipBKpcjNzcW4ceMgEAjMXvaH35QgpE8fOPDNN6wml8lw+coViz1nS7W3oretD8Wv+Orqak7rUpQwH322bYcnRz1/YyRmiJE6VYBuXp6WrorO5HI5amtrERoaatDxhYWFmDBhAkQikU7BXBf158+jbPs2yJqawHN0xIOLn4O30mxrY8gZBk2t7X0zSdu9PlqbjEFDS/soo0jAgyOfRgGSkpIwatQoREVFISAgANXV1di9ezcbzPl8Pnr3Nm7OiaXYVEAXCARm/5K3hrId+HzwHcx/QcL91t6GlBcaGgoHBweUlpaqpdWOGGnUxLgrSYkAuJkcN8SzzKiJcan7pACsd4W4jkpLSyGXyzFkyBCDju/Xrx9iYmKQnp5ucB4d/bHva8ia2u+sx7S14erOD3B15wcq+2g6366Luw1y/P3fd9W2nyyT4GRZ+4/N2Y+5YUQ/kQE1ty/79+/H9u3bO01fs2YNunfvbsYacYcuWyPECF5eXggPD0dhYSE6nr2KXbaMkzKKEuZD0tJiVB6Lpw3jpC6JGWK0tJp/foO+FLOXY2JiDDre09MTOTk5nAVzYj2WLl2K2NhY9OzZE0KhEEKhEL169cLUqVORk5ODDRs2WLqKBrOpHjoh1mjKlClITU1FQUGBxqVfuXD2+SWdzn43t1XZ7UOT1txbz83NBZ/Px6RJk8xWZlcjKf3WGH7ZW1dt7ePOt+rXw5qsXr2as8WCrA310Akx0uLFi8Hn87Fnzx61NE5XeNMwfzUvL6/LCXEKpv7C16cuptTU1IT9+/dj8uTJCAgIsHR1CDEbCuiEGCkwMBAzZ85EdnY2Ghsb1dI9XnmFk3K4+HGwOLqeg5pYd+987969aGhosOkFQggxBAV0QjiwceNGNDQ04L333lNLCwmPgPeoUUblz1VPf8jA3hjR17i1qq05mLe1tWHTpk2Ij4/H6NGjLV0dQsyKAjohHOjduzeysrLg6uqqMT1o8XMIeuMfBuXN9Y1ZZo/ywJpJhk2fseZgDrSv3Dd37lyVtbkJuV/QpDhCODJr1iyt6d49e8I761MULUjQeD68owcnx8Nnxgyuqqeih58Xti8EkjLEndzfTdXjfd0QP8r6L3kKDg5GamqqpatBiEVQQCfEzJRnqhcvewEypfPuTj17YrCBPXlDKK/TviZbjKbWe2ndPflYO83yC9sQQnRDAZ0QCwp//4OudzKT9NmmH07vuDwrIYQ7dA6dEEIIsQMU0AkhhBA7QAGdEEIIsQMU0AkhhBA7QAGdEEIIsQMU0AkhhBA7QAGdEEIIsQN0HTohFnR66VLIm5vYx0J/f4Ru3mKRuqz+vArNknvrxvl5OGDddG9Oy/j+ZAOn+SmLe9jNZHkTYgsooBNiZtqWfpXcvo2ihPkAAI+xYxGSsMCkddG29GtlnRyJGWIAwMjBrnh2hLNJ60IIMQ4NuRNiJlU3b7YHax3WcQeAusOH2eDOtVt37iJRx3XcAeDEuUY2uBNCrBMFdEI4IJfLERERgYkTJ2pML//oQ1SsWW1Q3lwH9T1H6/DGdzKDjrX2oH7p0iU4Ojri/ffft3RVCDE7GnInhAOZmZkoLi7Grl271NIunTqF+mPHtB6vfItUTQG8KGE+J7dRLS65goLLHlr3Ub5FqqYAnpghttrbqPbt2xdz5sxBamoq5s6dCw8P7c/VnKR1dbj97X/QdOUKmq5eBSOVAgC8H3sMQc8tMSrvs9ckOH21FRWVbahrlqO1jYGXiwMe9HXEuHAXBHjTV73CyZMn8frrr6O4uBiVlZVobGyEp6cnwsLCMHfuXCxevBg8Hs/S1TQI9dAJMZJMJkNaWhpiYmIwfPhwtfT6t7Xfm9tj+QqdytEU6GNjYxEcHKzT8QCw+4T2ALdopG6T1jQFen3rYiorV65EZWUlduzYYemqqJDevYvKH39E46VLbDDnytGSZuSXtuJWjQyNrQzaZIC4Xo6TZRJs+U8Nzl2XcFqeLTt37hz27duHy5cvo66uDjKZDNXV1Th69CiWLFmCV1991dJVNBgFdEKMdODAAVRUVGDevHlqaboMl9d1EfAV/J6aom/VVOgyXL77hG4zxZ94yMmouphSWFgYIiIisGvXLsjlcoPzqaio0Gv/ooT5Wl9vvosL/MaPR9DSpfCfHK9X3okZYq2vH98BGNHPCUkTPbFlng/WTuuGEP/2XrmcAXJ+a+z02PtNSEgIdu7cidLSUjQ3N+P69etISEhg03fv3m3B2hmHxmEIMVJmZiZ4PB6mT59ucB7tgYAHdDJNjYvhdl0lZojBYwCmk1FHax1uVzZz5kysXbsWhw4dwrhx4/Q+Pj8/H2PHjsX69euxerVhcx86cvLzwwNz5gIAxIcPc5KnwvzR7hAJ7/XPunvy8dQwV2zNqQUA3K41bM6EPYqOjkZ0dDT7ODAwECtWrEBWVhYAQCgUWqpqRqMeOiFGYBgGeXl5GDhwILy8vFTS8vSemKUezB2cnTkJ5h9/XaBfTTQEc5GAZxPBHAD7hX3YwMAZGhqKqKgorFmzBunp6VxWzSSUg7mCVCmGd3Olr3pN5HI5rl27hq1b742SrVih2ykwa0Q9dEKMUFJSgurqasTFxamleeafMCpvLnvlZ2p7G3W8rQRyhaFDhwIAjh8/btDxbm5u+P777zFx4kQkJyeDYRgkJydzWUWTapMx+Lbw3jD7qEG0hkBHI0eORH5+PvvY0dERmzdvxvLlyy1YK+NQQCfECNevXwcA+Pv7c5cpj4fIzCwNmzufeasprayszOhJajwA2zQEc0vURR/u7u4QiUTs66MsODgYV69e1Su/tWvXIjIykv3hVl9SgktvaO65dzyPPvjNt+Dk56dzWaW3JHj3YJ3GtI7n0V+b0Q0+7nyVbS0SOXYfrkd5ZRsAYFiIE0YPEulc/v2qra0NK1asgFQqxd/+9jdLV8cgNhXQpVIppBzPDtWlTOX/LVG2XGbe81+K8iz5nPUpWyKRoOy19ZCKNU8a6pH+Bnx1+EI15PlWVVUBALp166b3sZqErF0Hj/79NaalpKSobcvMzERNTQ2SkpLU0jqeAtDXyxNcEdJTc8/O3HUxhLe3N8Qa3hMzZszQuF2T4uJiFBUVwcfHB3369OG6ipyrbZJh5491uHm3/TP86AARZkS72uxlWKZ04sQJyGQy/PHHH9i9ezf7nl63bh0WLlwIPz1+hFkLHsPouGyVBdXV1cHT0xPZ2dlwcXGxdHWIlQj8Lgf81la9jrk6dVqnX25NTU2YPXs2amtrdb5+ef/+/Zg6dSqSk5OxceNGlTRjFoTRdbg9NjYW5eXlKC8v17qfMQvC6DrcrktdzLmWu7e3N5ycnHDr1i2D8jt27Bji4uLg5OSEQ4cOITw8XOv+itdbl9dOfPgwrmVlttdTh+vQFa+fttfi1t027MytQ02jHDwAT0a5YFw4fV/qysvLC7W17ZMIT5w4gREjRli4RvqzqR76+PHjzb5QhFQqRW5uLsaNGweBQHBflG3tz/lKejqaLl8yKP+gfV8DAMI+Vr80RdHb1ofiV3x1dbVB9elMUcJ89Nm2HZ4c9fyNkZghRupUAbp5eVq6KjqTy+Wora1FaGioQccXFhZiwoQJEIlEOgVzXTByOWSN7ee1ZUo/ROXSNrTV1wMAHEQiOBjwmbv0hxQfH6pDs4QB3wGYM8odUX2s99JCS0pKSsKoUaMQFRWFgIAAVFdXY/fu3Www5/P56N3buDknlmJTAV0gEJg9wNzPZVvjc+ZqGdTfFy/CoHfehUjpB6IhzzU0NBQODg4oLS1VS6sdMdKoiXFXkhIBcDM5bohnmVET41L3SQFY7wpxHZWWlkIul2PIkCEGHd+vXz/ExMQgPT3d4Dw6klRV4dyrr6htr8k/gZo/3ycPLn4OPqNG6Z3390WN7J3yZHLg05/r8enP9Sr7aDrffj/av38/tm/f3mn6mjVr0L17dzPWiDt0LQOxGVyvaV7y0os4f+CAUXl4eXkhPDwchYWF6Hj2KnbZMqPyVihKmA9JS4tReSyeNoyTuiRmiNHSav65FfpSzF6OiYkx6HhPT0/k5ORwFsyJ9Vi6dCliY2PRs2dPCIVCCIVC9OrVC1OnTkVOTg42bNhg6SoazKZ66OT+pU8wV+7RMgyDUwsSOt23+Z97UR8VBXcjZqlPmTIFqampKCgo0Lj0KxfOPr+k09nv5rYqu31o0pp767m5ueDz+Zg0aZLZyuxqJMXJz8/g0Zau2vqlOC+D8r0frV69mrPFgqwN9dCJ1dMnmHsNG6rymMfjAY7af7de+ttKg+qlsHjxYvD5fOzZs0ctjdMV3jTMX83Ly+tyQpyCqQOwPnUxpaamJuzfvx+TJ09GQECApatDiNlQQCdW7ew7+t1gQzLyEbVt/deu6/K435cn6VWOssDAQMycORPZ2dlobFRfM9vjFfXzpobg4sfB4uj6rnfSgTX3zvfu3YuGhgabXiCEEENQQCdWTVJYqNf+TRp+AFz8e1qXx4W9vU2vcjrauHEjGhoa8N5776mlhYRHwNuAiU7KuOrpDxnYGyP6GrdWtTUH87a2NmzatAnx8fEYPXq0patDiFlRQCdW69pnhgWxC2mp7N/n163TOFStjItg2bt3b2RlZcHV1VVjetDi5xD0xj8MypvrG7PMHuWBNZMMmz5jzcEcaF+5b+7cuSprcxNyv6BJccRqiX/6yaDjmq5c0em8u3Pv3hiY2nXvXVezZs3Smu7dsye8sz5F0YKELn9kAMCDk+PhM2MGV9VT0cPPC9sXAkkZ4k7u76bq8b5uiB9l/cuHBgcHIzU11dLVIMQiKKCT+5I5b0eqVrbSTPXiZS+wi40AgFPPnhhsYE/eEMrrtK/JFqNJaeG97p58rJ1m+YVtCCG6oYBOrNJlA3vnXXJ0ROTuT0yTtwHC3//A0lVgpc82/XB6x+VZCSHcoYBOrJLUyAVfNAnf/Qn4XVzCRgghtoq+3YhVaqur5S4zK1mQhRBCTIkCOrFKRcH/x0k+A6P64pF427trEiGE6IsCOrFKpzkK6KergH9m2M5NRQghxFB0HTqxSh7Omu9ZbqjEDDEO/fcUp3kSQog1oYBOrFJMnwbO8/xP6QNIyhBzni8hhFgDCujEKsVEmuamGgzae+snzlFgJ4TYFzqHTu5LX+QDX+Rb/tz66aVLIW9uYh8L/f0RunkLp2Xc3Pc1p/kpC5g6zWR5G2v151VoltxbB8/PwwHrpntzWsb3J7kfSVKga/aJviigE6s1epAIR0taTFpGYoYYcyPFGPbQQJOWo0zb0q+S27fZZWs9xo5FSMICs9XLHmhbyrayTo7EP0+5jBzsimdHOJuvYoSYAQ25E6s1faR5eih7inyx8etqo/KQy+WIiIjAxIkTO92n6ubN9mCtwzruAFB3+LBe94K3pEuXLsHR0RHvv/8+53nr0ra37txFoo7r0gPAiXONbHC3dqZsW2JfKKATqxYeIDFLOZW1cqOOz8zMRHFxcac3Bin/6ENUrFltUN62ENT79u2LOXPmIDU1FXV1dZzm3VXb7jlahze+kxmUty0EdVO2LbEvFNCJVVv0f6aZHNfRNiPOpctkMqSlpSEmJgbDhw9XS7906hTuHjumNY/IrE/Zf5rYQlBfuXIlKisrsWOH+j3pDdVV2xaXXEHBZe0/+rYv9GX/aWILQd0UbcsVaV0dru/5DGdfWYFTi/6CMy/+FWXvvoPmigqj865vluOrEw1I+7IaK7LEWPtFFTKO1OFGdZtR+UokEqxatQpjxoyBh4cHeDweeDweYmNjja6zJVFAJ1bP1BPX1k1xMer4AwcOoKKiAvPmzdOYXv+29ntzeyxfoVM5moJ6bGwsgoODdTre1MLCwhAREYFdu3ZBLtc+4qFrvbtq290nPLQev2ikbpPWNAV1W21bc5LW1OBiWioqc3MhEYvBtLWhrb4eNQUFuLDh76g/f97gvGub5NiaU4OjJS2obpBDJgcaWhicKpfg7ZwaXPpDanDeTU1N2Lx5M/Ly8lBfX29wPtaGAjqxCaYK6pMGN8Kvm3EBPTMzEzweD9OnT1dL06VnXddFwFfwe2qKvlUzu5kzZ6KiogKHDh3iJD9tbatLz3r3Cd3mYTzxkJPedTM3Y9u2woAec1HCfK3v4evZn0Mibn8d/Mb/H4a89z6Clr4A8HhgJBJU7PoIjEzz6ZDEDLHW13Df/xpQ3dD+4yVmsAibZntjfow7eDxAKgM+/6UeMrmusyZUCQQCvPDCC/jkk0+sctTDUDTLndiM7Qt9OR0e3TjLA24uxv1QYBgGeXl5GDhwILy8vAzOp/1Lkwd0Mq3Lkvdv10d0dDQA4PDhwxg3bpxReXHVtokZYvAYgOlk8UFLX7qoK2PaNj8/H2PHjsX69euxerVhczk6amtsRE1hIQCAJxAg4Omn4SAUwjs6GlV5eWg4XwKJWIy633+HZ0SEXnk3tcpxurz9VIqAD0yOcoXAkYeoPk44fqEFl/6QorpBjgs3pRj8gFDvuru6urKTDA8ePKj38daKeujEpmxf6Iu+PYz/Hbp9oS/cXPT/IuiopKQE1dXVePjhh9XS8vSelawezB2cnW0mmAPA0KFDAQDHjx83Oi9tbfvx1wV65aUpmIsEPJsJ5oBxbRsaGoqoqCisWbMG6enpnNSn+epV4M/et5N/DzgI732enHs9wP7ddPmy3nlfr2qDovPt68GHwPHeCxjQjc/+XV5p+LC7PaIeOrE5L8V5AQDW761CXbN+Q27bFviAx+Nunfjr168DAPz9/dXSPPNPGJW3LQVyBXd3d4hEIrZdjKGtbc/U9jYqb1sK5ArGtK2bmxu+//57TJw4EcnJyWAYBsnJyUbVR1p77xbHfBfV01YOzveu8ZcacCvk+pZ7n2sXoernVaT0uF7Pz7+9s6mALpVKIZWa9xeZojxzl2vJsm3lOb82vX1ClEQiwVsHWlHVoHmy0Jo4GXx82lcIa2vrfHasIc+3qqoKANCtWze9j+1UJ/dv1/ZDRFNaWVmZRSZ1eXt7Qyy+d2rE0Hqbom150HxFg622LQAEBwfj6tWreuWzdu1aREZGIi4ujt1WX1KCS29o7r13PI8++M23OuzBdPqQBx5Kb0nw7kHNl9x1PI322gzV11stZKvkTZTZVED/8ccf4eJi3AQmQ+Xm5lqkXEuWbUvPOUIIoJNVPfPzdcujqamp6506cP6zJ9Lc3Kz3sZqErF0Hj/79NaalpKSobcvMzERNTQ2SkpLU0ow572yM5uZmlc+pofXmum1fnuCKkJ6aV4ez1bYFgBkzZqgF+c4UFxejqKgIPj4+6NOnj1F1EXh6sn/LOnx2ZErLGTt6ar8SQRN30b1Q3dyqGtKbpfceu3N8V0ZbZ1MBffz48fDw0P/NYQypVIrc3FyMGzcOAoHgvij7fnzOwL3etj78/PwAANXVxq00p3B54+sANA+3a1pYJS8vD+Xl5Z0uumJucrkctbW1CA0NZbcZWm+u23bHwUYAjRqH2221bQHgzTff1On4Y8eOIS4uDr6+vjh06BAGDBigku4+aJDa+07RM9f0fnR0dQWPzwcjk6H19m3IJRL2PHqL0mkBlz4h6NlTqNbuip65ptfDxYkHvgMgkwPiehmkbQx7Hv3W3XujbEF+5v2OsHY2FdAFAoHZv+Tv57Lvt+dsSHmhoaFwcHBAaWkpp3UpSpiPPtu2w5PLoXwzKC0thVwux5AhQ4zOy1Rtm5ghRupUAbp5eXa9sxUxpm0LCwsxYcIEiEQiHDp0COHh4UbXh+/iAs+hw1CTfwKMVIqbX36JHlOmoP7MGTRcuAAAEPr6wiMsTO+8nYUOiAgS4mSZBFIZ8O1vjZjwkAvO35Di8u32gO7t5oABAYZ/RyhGNZRX35NKpex2FxcXi40IG8qmAjoh1sbLywvh4eEoLCwEwzAq51trR4w0amLclaREALY1OS7/z/MbMTExRuelrW2HeJYZNTEudZ8UgOXvtqcPY9q2X79+iImJQXp6Oic/thQemD0bTZcvQSIWo/LHH1D54w9sGk8oxIPPLQGPz9eSQ+emDHdDeWUNqhvk+PlcC34+d+9GTQI+MGeUO/gOhg+5K0aAlB0/fpzdnpKSYjWjM7qiy9YIMdKUKVNQW1uLggLVS6lily3jJP+ihPmQtJj2rnNcyc3NBZ/Px6RJkzjJr7O2XTxtGCf5J2aI0dJqG5c+GdO2np6eyMnJ4TSYA4DAywv9U1Lh+8QTEPr6gsfnw9HdHV5Dh2HA+tfgPtDwuxh6ujhgxSQvjBokgrebA/gOgKsTDxFBQiyf5IW+PWi4vSPqoRNipMWLF2PDhg3Ys2ePxvXGuXD2+SWdzn63Fk1NTdi/fz8mT56MgABu1uA3R9uuym6/rMqae+umaFtd6DI6JPDwQK9584F5+t1vQJf2dnd2wIyRbpgxUq+sdcLoeNdDW0I9dEKMFBgYiJkzZyI7OxuNjY0qaZwOl2v4AlJM3LIGe/fuRUNDA5YvX97lvrrWW1vbmjoA22rbkvsXBXRCOLBx40Y0NDTgvffeU0vzeOUVTsqw5nPpbW1t2LRpE+Lj4zF69GhO89bWtoujubmxhjX3zk3ZtsS+UEAnhAO9e/dGVlYWXF1d1dJCwiPgPWqUUflbczAH2ld1mzt3LrZu1e1GM/rQ1rZDBvbGiL7GLeFrzcEcMG3bEvtC59AJ4cisWbM6TQta/Bzcn5yEq6tX6Z2vtQdzoH21MlPOCNbWtrNHeWDswBqk5+h/j2xrD+aA6duW2A/qoRNiJt49e7YHZx3Xkn9wcrxNBHNr0MPPC9sX+uq8FOjjfd1sIpgTog/qoRNiZsoz1YuXvQCZ0mQvp549MfiNf1iiWnZBeZ32NdliNLXeS+vuycfaaba1UA8h+qCATogFhb//gcnLCJg6zeRlWKP02abvgcc97GbyMgjRFQ25E0IIIXaAAjohhBBiByigE0IIIXaAAjohhBBiByigE0IIIXaAAjohhBBiByigE0IIIXaArkMnxIJOL10KeXMT+1jo74/QzVs4LeP7kw2c5qfMmq/DXv15FZol9+5Q5+fhgHXTvTkt4+a+rznNT9n9un4AMRwFdELMrGhBgsZboQKA5PZtFCW031faY+xYhCQsMGPNbF9Shhid3eW6sk6OxAwxAGDkYFc8O8LZfBUjxAxoyJ0QDsjlckRERGDixImd7lN182Z7sO4kmHdUd/gwG9yt3aVLl+Do6Ij333+f87x1adtbd+4iUUsw7+jEuUY2uFs7U7YtsS8U0AnhQGZmJoqLizu9K1b5Rx+iYs1qg/K2haDet29fzJkzB6mpqairq+M0767ads/ROrzxncygvG0hqJuybYl9oYBOiJFkMhnS0tIQExOD4cOHq6VfOnUKd48d05pHZNan7D9NbCGor1y5EpWVldixYwdneXbVtsUlV1BwWaI1j+0Lfdl/mthCUDdF23JFWleH63s+w9lXVuDUor/gzIt/Rdm776C5osLovOub5fjqRAPSvqzGiiwx1n5RhYwjdbhRrf+tcpVJJBKsWrUKY8aMgYeHB3g8Hng8HmJjY42usyVRQCfESAcOHEBFRQXmzZunMb3+7a1aj/dYvkKncjQF9djYWAQHB+t0vKmFhYUhIiICu3btglwu17qvrvXuqm13n/DQevyikbpNCNQU1G21bc1JWlODi2mpqMzNhUQsBtPWhrb6etQUFODChr+j/vx5g/OubZJja04Njpa0oLpBDpkcaGhhcKpcgrdzanDpD6nBeTc1NWHz5s3Iy8tDfX29wflYGwrohBgpMzMTPB4P06dPV0vTpWdd10XAV/B7aoq+VTO7mTNnoqKiAocOHeIkP21tq0vPevcJ3WbhP/GQk951Mzdj27bCgB5zUcJ8re/h69mfQyJufx38xv8fhrz3PoKWvgDweGAkElTs+giMTPPpkMQMsdbXcN//GlDd0P7jJWawCJtme2N+jDt4PEAqAz7/pR4yua6zJlQJBAK88MIL+OSTT6xy1MNQNMudECMwDIO8vDwMHDgQXl5eBufT/qXJAzqZ1tXZULy1iY6OBgAcPnwY48aNMyovrto2MUMMHgMwPM3pnQ3FWxtj2jY/Px9jx47F+vXrsXq1YXM5OmprbERNYSEAgCcQIODpp+EgFMI7OhpVeXloOF8CiViMut9/h2dEhF55N7XKcbq8/VSKgA9MjnKFwJGHqD5OOH6hBZf+kKK6QY4LN6UY/IBQ77q7urqykwwPHjyo9/HWinrohBihpKQE1dXVePjhh9XS8vSelawezB2cnW0mmAPA0KFDAQDHjx83Oi9tbfvx1wV65aUpmIsEPJsJ5oBxbRsaGoqoqCisWbMG6enpnNSn+epV4M/et5N/DzgI7wVW514PsH83Xb6sd97Xq9qg6Hz7evAhcLz3AgZ047N/l1caPuxuj6iHTogRrl+/DgDw9/dXS/PMP2FU3rYUyBXc3d0hEonYdjGGtrY9U9vbqLxtKZArGNO2bm5u+P777zFx4kQkJyeDYRgkJycbVR9pbS37N9/FRSXNwfneNf7Sulroq77l3o9bF6HqrzGR0uP6ZsOG3O2VTQV0qVQKqdS8v8gU5Zm7XEuWfT8+Z0PLrKqqAgB069aNu4rweIjMzNKwuZMx407SysrKLDKpy9vbG2LxvXOjhtbbFG3LA7BNQzC31bYFgODgYFy9elWvfNauXYvIyEjExcWx2+pLSnDpDc29947n0Qe/+VaHPZhOH/LAQ+ktCd49qPmSu47n0V+bofp6q4VslbyJMpsK6D/++CNcOvwSNJfc3FyLlGvJsu+359zU1NT1Th04/9kTaW5u5qQOIWvXwaN/f41pKSkpatsyMzNRU1ODpKQktTRjzjsbo7m5WeVzami9uW7blye4IqSn5tXhbLVtAWDGjBlqQb4zxcXFKCoqgo+PD/r06WNUXQSenuzfsg6fHZnScsaOntqvRNDEXXQvVDe3qob0Zum9x+7OFNKV2VRAHz9+PDw89H9zGEMqlSI3Nxfjxo2DQCC4L8q+H58zcK+3rQ8/Pz8AQHV1NSd1uLzxdQCah9s1LaySl5eH8vLyThddMTe5XI7a2lqEhoay2wytN9dtu+NgI4BGjcPtttq2APDmm2/qdPyxY8cQFxcHX19fHDp0CAMGDFBJdx80SO19p+iZa3o/Orq6gsfng5HJ0Hr7NuQSCXsevUXptIBLnxD07ClUa3dFz1zT6+HixAPfAZDJAXG9DNI2hj2PfuvuvWvQg/zM+x1h7WwqoAsEArN/yd/PZd9vz9mQ8kJDQ+Hg4IDS0lJO61KUMB99tm2HJ5dD+WZQWloKuVyOIUOGGJ2Xqdo2MUOM1KkCdPPy7HpnK2JM2xYWFmLChAkQiUQ4dOgQwsPDja4P38UFnkOHoSb/BBipFDe//BI9pkxB/ZkzaLhwAQAg9PWFR1iY3nk7Cx0QESTEyTIJpDLg298aMeEhF5y/IcXl2+0B3dvNAQMCDP+OUIxqKK++J5VK2e0uLi4WGxE2lE0FdEKsjZeXF8LDw1FYWAiGYVTOt9aOGGnUxLgrSYkAbGtyXH5+PgAgJibG6Ly0te0QzzKjJsal7pMCENvU5Dhj2rZfv36IiYlBeno6Jz+2FB6YPRtNly9BIhaj8scfUPnjD2waTyjEg88tAY/P15JD56YMd0N5ZQ2qG+T4+VwLfj7XwqYJ+MCcUe7gOxg+5K4YAVJ2/PhxdntKSorVjM7oii5bI8RIU6ZMQW1tLQoKVC+lil22jJP8ixLmQ9LS0vWOViA3Nxd8Ph+TJk3iJL/O2nbxtGGc5J+YIUZLq21c+mRM23p6eiInJ4fTYA4AAi8v9E9Jhe8TT0Do6wsenw9Hd3d4DR2GAetfg/vAgQbn7enigBWTvDBqkAjebg7gOwCuTjxEBAmxfJIX+vag4faOqIdOiJEWL16MDRs2YM+ePRrXG+fC2eeXdDr73Vo0NTVh//79mDx5MgICAjjJ0xxtuyq7/bIqa+6tm6JtdaHL6JDAwwO95s0H5ul3vwFd2tvd2QEzRrphxki9stYJo+NdD20J9dAJMVJgYCBmzpyJ7OxsNDY2qqRxOlyu4QtIMXHLGuzduxcNDQ1Yvnx5l/vqWm9tbWvqAGyrbUvuXxTQCeHAxo0b0dDQgPfee08tzeOVVzgpw5rPpbe1tWHTpk2Ij4/H6NGjOc1bW9sujubmxhrW3Ds3ZdsS+0IBnRAO9O7dG1lZWXB1dVVLCwmPgPeoUUblb83BHGhf1W3u3LnYulW3G83oQ1vbDhnYGyP66r+WtzJrDuaAaduW2Bc6h04IR2bNmtVpWtDi5+D+5CRcXb1K73ytPZgD7auVmXJGsLa2nT3KA2MH1iA9R/97ZFt7MAdM37bEflAPnRAz8e7Zsz04a1lmVNmDk+NtIphbgx5+Xti+0FfnpUAf7+tmE8GcEH1QD50QM1OeqV687AXIlCZ7OfXsicFv/MMS1bILyuu0r8kWo6n1Xlp3Tz7WTrOthXoI0QcFdEIsKPz9D0xeRtzDbiYvwxqlzzZ9Dzxg6jSTl0GIrmjInRBCCLEDFNAJIYQQO0ABnRBCCLEDFNAJIYQQO0ABnRBCCLEDFNAJIYQQO0ABnRBCCLEDFNAJIYQQO0ABnRBCCLEDFNAJIYQQO0ABnRBCCLEDFNAJIYQQO0ABnRBCCLEDFNAJIYQQO0ABnRBCCLEDFNAJIYQQO0ABnRBCCLEDjpaugC4YhgEA1NXVmb1sqVSKpqYm1NXVQSAQ3Bdl34/PGQDq6+sB3Hu/EUKILbGJgK74ou3Vq5eFa0LuB/X19fD09LR0NQghRC88xga6I3K5HDdv3oS7uzt4PJ6lq0PsFMMwqK+vR0BAABwc6GwUIcS22ERAJ4QQQoh21A0hhBBC7AAFdEIIIcQOUEAnhBBC7AAFdEIIIcQOUEAnhBBC7AAFdEIIIcQOUEAnhBBC7AAFdEIIIcQOUEAnhBBC7AAFdEIIIcQOUEAnhBBC7AAFdEIIIcQOUEAnhBBC7AAFdEIIIcQOUEAnhBBC7AAFdEIIIcQOUEAnhBBC7AAFdEIIIcQOUEAnhBBC7MD/AwJb1jV+Q53TAAAAAElFTkSuQmCC" ], "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>"}
[ 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>"}
[ 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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WMq+99prK9hbK9U2bNo0pKytjfvvtNza4i0QiRqFQsPmVL5dsbcKECWx7rl27xkilUubPP/9kDh8+zKSkpJipF4k5lJaWqnw2fv/9d535Fy5cyOYdM2YMc+vWLeb27dvME088wW5fuHAhm9/YgA6AeeONN5iKigrm4MGDKj8YlGkrn2FM+xsZOXIkc+3aNaa2tpa5ePGiYZ2q3D6j9ySE2CR9A3ptbS07WoqMjGQYhmFyc3PZfM8//zxbZpcuXXSWCYAZP348m79lG5/PZyoqKtjtAwcOZNPu3r3LbtcV0BcvXswAYHg8HjN9+nTmnXfeYQ4dOsTcu3eP664jZnbv3j2Vz8zZs2d15lf+3J0/f57dnpeXx27v2rUru93YgB4QEMDedZJhGMbPz48BwLi4uKiUoyugG/s3AoApKSlpq+v0YpalX7mmUChw584deHp60t2piNkwDIOamhoEBQVxfg2/tSQlJWldK97NzQ0zZszARx99hPz8fJw/fx5ffPEFm75gwQL2sfKa9tqIxWK1bZ06dVJZA1/5MqSGhgZ9XgKSk5NRUFCAI0eOYO/eveyqknw+H1OnTsUXX3yhtgwxsU3+/v7w8vJiz31fvHgR0dHRWvMrf+6UbySlfN5a02eTaXWlRFNTk852hYeHs3edBJo/p+Xl5QbdJMzYv5GAgAB069ZN73p0sYuAfufOHc5eMCFt+fPPP9G1a1drN8MiXnjhBXz00UcAgLS0NHz11VcAgIcffhgDBw5k8wUGBuL27dvg8Xi4ffs2OnfurFZW6y9RQL+b/+jaDjRf83vo0CFUVlbiwoULKCwsxN69e3Hs2DF89dVXSEhIwLRp09p+scTq+Hw+JkyYgC+//BJA82THZ599VuMPsqamJvZzBzRPRGu514PyJWOBgYHsYxcXFzQ2NqrMFFcoFLh586bOdun7OdXF2L8RbTd3MoZdBHRPT08AQGFhIfvYUmQyGU6cOIGRI0catfqcPdbdHl8z0HwL3Z49e1r8M2ZNAwYMwKBBg5Cbm4vt27ezI5kXXnhBJd/TTz+NDz74AAzDICkpCVu3bkWPHj1QXl6O//73v/j0008xffp0zJ4926h2+Pn5sV/S586dU7n+eOfOnQCa7y8/YMAADBw4EEVFRTh27BgAoKSkxKg6iXUkJyfj+++/h0QiQX5+PiZOnIi1a9eib9++kEgk+O9//4stW7bg3XffRUJCAvuDc9myZdi1axd4PB6WLVvGlpeQkMA+DgkJwdWrVyEWi3HmzBnExMTgvffe0+uW3frw8/NDeXk5xGIxbt++rXL/EHP/jeiFkwP3ZlZVVcUAYKqqqixet1QqZQ4ePMhIpdJ2U3d7fM0MwzBisdhqnzMutXUOHVC9R8COHTtU0jw8PJjq6mqVMsvLy5mIiAidZSrff6Flmz7nMhmGYV599VW18lpm+86bN09rnU5OTkxeXh63HUjM7vjx44y/v7/Oz1NeXh5TWlrKhIeHa80THh7OlJWVseWuX7+eTePxeIyHhwcDNM8kb/25Uz6H3npmubY5HS0TNJX/tcxJ4epvxBSOcaKQEGK0Z599VuWoxLRp09SOUvj6+iI7Oxtr165FdHQ03N3d2fs2jB49Gu+8845J9yVISUnBjBkzEBgYqHa4c9KkSUhMTERYWBg8PT0hEAjg7++P+Ph4/Pzzzza3mhhp28iRI3H58mWsXbsWMTEx8PHxgVAoRJcuXTBy5Ehs3boV4eHhCAgIQE5ODlauXIm+fftCJBLBxcUFffr0wYoVK5CTkwN/f3+23KVLl2LlypUIDg6Gs7MzevfujYMHD2Lw4MGctPv999/HhAkT4Ofnp5Zm7r8RfdjF0q/V1dXw9vZGVVUVvLy8LFq3TCbD4cOHMW7cOKscfrZG3e3xNQPNa0v7+/tb5XNGCCGmohE6IYQQ4gAooBNCCCEOgAI6IYQQ4gAooBNCCCEOgAI6IYQQ4gAooBNCCCEOgAI6IYQQ4gAooBNCCCEOgAI6IYQQ4gAooBNCCCEOgAI6IYQQ4gAooBNCCCEOgAI6IYQQ4gAooBNCCCEOwMnaDSCkPTv/4otQ1Nexz50DAxGxabNV2rL8y3LUSx/cTTnAi4/Vk305rePOge84LU9Z0NOTzFY2IfaAAjohFpY3JwlgGI1p0nv3kJc0GwDgNWoUwpLmmLUti9PE0NwSoKxagUVpYgDA0L7ueDbG1axtIYSYhg65E2Ih5XfuNAdrLcG8terjx9ngzrW7pfexSEcwb+3MpVo2uBNCbBMFdEI4oFAoEBUVhXHjxmlML9rxCUpWLDeqbK6D+p5fqrHxR7lR+9p6UL9+/TqcnJzw4YcfWrsphFgcHXInhAPp6enIz8/Hzp071dKunzuHmlOndO4fvftz9rGmAJ6XNFslj7HyL99Ezg0vnXm2zvVnH2sK4IvSxCp5bEmPHj0wY8YMpKSkYObMmfDy0v1aLanq3DlU5uagrrAQsspKKBobIezQAW7dQ9FpwgS4dutmdNmSBgV+Ol+H4rIm3K5oguzv32tDerhgxnBPjl6BY5FIJNi4cSP279+P4uJiuLm5YejQoVixYgWGDx9u7eYZhUbohJhILpdjzZo1iI2NxZAhQ9TSa957V+f+Xkte16seTYE+Li4OISEheu0PALvO6A5w84ZK9CpHU6A3tC3msnTpUpSVlWHbtm3WboqKsp8zUPHrr2i4dQtyiQSMTAZpaSkqs8/gSvJbqDp/3uiyK2sVOHmpAUVlD4I50a62thYjRozA+vXrce3aNTQ2NuL+/fs4cuQI4uLisG/fPms30SgU0Akx0eHDh1FSUoJZs2appelzuLy6jYDfIuCpiYY2TYU+h8t3nfHQq6wnBriY1BZz6tevH6KiorBz504oFAqjyykpKTEof17SbJ3vN08ggO+IEQhf/Saidn6KPv/aBI9evZoT5XLc/fd+rfsuShPrfP9cnXmI7SvCrBEeGBNJkxfbsnbtWuTl5QEAEhMTUVpaip9//hlubm5QKBRYsGABKioqrNxKw1FAJ8RE6enp4PF4mDx5stFlNAeDJK0BIXr35+g6yTKXZS1KE2PxZ9oDyNa5/pgQbduHcRMTE1FSUoLMzEyj9s/OzkafPn2wceNGztoU8uJLCJ43Hx7h4eA7O0PUqROCpj3LpjfcvWt02X6eAkyK8cCgMBG83elrXReGYfDZZ5+xzzdt2oSAgAA8/vjjSExMBABUV1fj66+/tlYTjUbvPCEmYBgGWVlZ6N27N3x8fFTSsgyemKU+55zv6srJufNPv8sxrCU89W0iIc9mz523NmzYMADA8ePHjdo/IiICAwcOxIoVK5CamspJmwSu6iNnhVTKPnb25faaf6JZYWEhysrKAACenp4IDg5m0/r3788+PnPmjMXbZiqaFEeICS5fvoyKigrEx8erpXlnm/aFwEUgb3GhqrtJ+9tLIG8xaNAgAMDp06eN2t/DwwNHjhzBuHHjsHLlSjAMg5UrV3LZRChkMtzd/w373P+J0ZyWTzS7d+8e+7j1j3Bvb2+N+ewFBXRCTHDr1i0AQGBgIHeF8niITt+tYbOGYbOOtMLCQpMnqfEAbNEQzK3RFkN4enpCJBKx74+ykJAQFBcXG1TeqlWrEB0dzf5wq7l8Gdc3ah65tz5t0vftd+ASEKCyTV5fj5vbtqL2+nUAQIdHHkXA6OaAXnBXig+OVmssu/VpkLemdICfp8Cg10IeYFqtCaH8XNdn3FbZVUCXyWSQyWQWr1P5//ZQd3t8zcbWWV5eDgDo0KEDJ20IW7UaXj17akxLTk5W25aeno7KykosXrxYLa316MNQr411R1hnzROsLN0WY/j6+kIsVp8HMGXKFI3bNcnPz0deXh78/PwQGhrKSbtk9+/j+jtvo+HPPwEA/iNHoevs2XYZQOyR8o/vyspKlbSqqiqN+eyFXQX0n376CW5ublapOyMjQ++8TU1N+J8kBg0Kkcb0gU5H4e2l36Qir0sXkX3pot51c8ULgP6vmHuG9DdX6urq2s7Uiuvf50Xr6+s5acON9esAaD7cnpKSorYtKysLRUVFGtNMte1oLYBajYfbLd0WY9TX12v8vnj77bf12v/UqVOIj4+Hv78/MjMz0atlRjoAzz591N6jlpG5rlMl9bdu4cY7b0NWUQHweOg8eQo6TZigkie8s7Nan7eMzO3t1IctCg0NRceOHVFaWgqJRILi4mL2PPqFCxfYfDExMdZqotHsKqCPGTPG4gtFyGQyZGRkYPTo0RAKhTrzpvy7GpKGthfT/L1pLPD3FRGbZ3hp/WUuk8mQfekiQsPCIOBbbv6iXKHAzRs39HrNXDOkv7nWMto2RMDfh1K5vsQlL2k2QrdshTdHI39TLEoTI+VpITr4eLed2UYoFApUVVUhIiLCqP1zc3MxduxYiEQiZGZmIjIy0uQ21Vy5gsKtWyCvqwPPyQkPzX8evn9P3jOVgmFQ19j83SNtevAd1CRnIGlovnRPJOTBSUBHAQDgueeeY69g+Oc//4nt27fj/Pnz2L+/+dJBLy8vTJ061ZpNNIpdBXShUGjxL3l96n7vx0oUlTYZVe7SL5vPlen65S3g88EXWP48ma32tznrNFRERAT4fD4KCgrU0qpihpo0Me7m4kUAuJkc19+70KSJcSkHZABsd4W41goKCqBQKFRmLRsiPDwcsbGxSE1NNbqM1v468B3kfx8FYpqaUPzxRyj++COVPJrOt+vjvkSB//v3fbXtZwulOFvY/GNz+mMeiAnXfNSwvVm9ejWOHTuGvLw8fPPNN/jmmweTE/l8Pj755BP42uFVB3TZmokWpYmNDuaty6muk7adkdgUHx8fREZGIjc3V22CTdzChZzUkZc0G9KGBpPKmD9pMCdtWZQmRkOj5ec3GCo7OxsAEBsba9T+3t7eOHToEGfBnNgWd3d3nDx5EqtWrUJ4eDicnZ3h4+ODsWPH4sSJE5g2bZq1m2gUuxqh2xqub1Tx5tfVGN9XgtExIZyWS8xr4sSJSElJQU5OjsalX7lwccELWme/W9qyvc0Th2x5tJ6RkQGBQIDx48dbrM62jqSErzD+sre2+trPU2DT74ct8vT0xLp167Bu3TprN4UzNEI3kiHBfOtcf/bfljl+OvMeuuSB0grDJ2cR65k/fz4EAgH27NmjlsblteSabrvaMhFNH+b+wjekLeZUV1eHgwcPYsKECQgKCrJ2cwixGAroRjAkmA8IdlZ5zuPxIOTrnji3/nsK6PakS5cuSExMxN69e1FbW6uW7vXGG5zUw8WPg/nDajhoiW2Pzvft2weJRIIlS5ZYuymEWBQFdAN9euyOQfmjOpapbXv1SZ8290v+xv5uDNCerV+/HhKJBNu3b1dLC4uMgq+Jt2PkaqTfv3d3xPRwbjujDrYczJuamrBhwwYkJCRgxIgR1m4OIRZFAd1AF+4Y9mW4O0f9Up/3fqjSkFPVmkT7m2HZnnXv3h27d++Gu7u7xvTg+c8jeOO/jCqb08P2AKYP98KK8cZNn7HlYA40r9w3c+ZMvPuufnewI8SRUEA3wL9/0+9e0a2988ODy0k2fX9fwy04VNn6lybRbOrUqXj55Ze1pvt27twcnPVcEeyhCQmcB/MWnQJ8sHWuP/S9KvnxHh528bkMCQlBSkoKwsLCrN0UQiyOZrkb4Ncrxl06VCKW63XePdjfCa9P8DGqDmI/lGeq5y98CXKl8+4unTujr5EjeWMor9O+Yq8YdY0P0jp6C7BqkvUXtiGE6IcCuo2wh9EP4V7khx+1nclCUqeb/zMY9LRl7ulOSHtEh9z1dPKsYZPh9CXkUzAnhBBiOhqh6ymr0ANo8+y3Yd6Z3QFOVljSlRBCiOOhgK6nmnrugrm2e0wTQgghxqKAbmGP9BRh6qMe1m4GIYQQB0Pn0C3s9LUGzteAJ4QQQiig68nLldv7CC9KEyPzv+c4LZMQQkj7RQFdT7Ghxi0qo8t/CrpiMY3WCSGEcIDOoespNjoIP1xse8lWQzFoHq0/GwMM7UsT5dqb8y++CEX9g5vxOAcGImLTZqu0ZfmX5aiXPpj8GeDFx+rJ3C5BfOQs9z+MW8Q/THNTSPtGAd1GfJUNfJUtpmvS24G8OUkab4UKANJ795CXNBsA4DVqFMKS5pi1LYvTxFovxiyrVrDzPYb2dcezMa5mbQshxDR0yN0AI/qIzF7HojQxcs5dMXs9xPLK79xpDtZagnlr1cePs8Gda3dL72ORjmDe2plLtTSZkxAbRwHdAJOHWuaQ3p48f6z/jm6fak8UCgWioqIwbtw4jelFOz5ByYrlRpXNdVDf80s1Nv4oN2pfWw/q169fh5OTEz788ENrN4UQi6ND7gaKDJIi38BbqBqjrEph9joId9LT05Gfn4+dO3eqpV0/dw41p07p3F/5rmqaAnhe0mxO7ryWf/kmcm546cyjfNpHUwBflGa7p4Z69OiBGTNmICUlBTNnzoSXl+7Xakmy6mrc++E/qLt5E3XFxWBkMgCA72OPIfj5F0wq++KfUpwvbkRJWROq6xVobGLg48bHQ/5OGB3phiBf+qpvTSKRYOPGjdi/fz+Ki4vh5uaGoUOHYsWKFRg+fLi1m2cUGqEbaN7/C7JIPbSSnP2Qy+VYs2YNYmNjMWTIELX0mvd035vba8nretWjKdDHxcUhJCREr/0BYNcZ3QFu3lD9Jq1pCvSGtsVcli5dirKyMmzbts3aTVEhu38fZT/9hNrr19lgzpVfLtcju6ARdyvlqG1k0CQHxDUKnC2UYvN/KnHplpTT+uxdbW0tRowYgfXr1+PatWtobGzE/fv3ceTIEcTFxWHfvn3WbqJRKKAbwdyjk9UT3cxaPuHW4cOHUVJSglmzZqml6XO4vLqNgN8i4KmJhjZNhT6Hy3ed0e+00hMDXExqizn169cPUVFR2LlzJxQK4490lZSUGJQ/L2m2zvdb4OaGgDFjEPziiwickGBQ2YvSxDrfPwEfiAl3weJx3tg8yw+rJnVAWGDzqFzBAId+r9W6b3u0du1a5OXlAQASExNRWlqKn3/+GW5ublAoFFiwYAEqKuzvtCcFdCOZK6iP71uLgA4U0O1Jeno6eDweJk+ebHQZzcEgSWtAiN79ObpOssytRxelibH4M+0BZOtcf0yI9rRIW4yVmJiIkpISZGZmGrV/dnY2+vTpg40bN3LWJpeAAHSdMRO+wx6Bsy+3lwPOHuGJ6Y95onugEM5OPHT0FuCpwe5s+r0q4+ZMOCKGYfDZZ5+xzzdt2oSAgAA8/vjjSExMBABUV1fj66+/tlYTjUYB3QRcB/X1U70wOiaY0zKJeTEMg6ysLPTu3Rs+Pj4qaVkGT8xSn3POd3Xl5Nz5p9/lGNYSDQsjioQ8mz133tqwYcMAAMePHzdq/4iICAwcOBArVqxAamoql00zC5Gz+le5TCmGd3Cnr/oWhYWFKCsrAwB4enoiOPjBd27//v3Zx2fOnLF420xFMyVMtHWuP94/UonrfzWZXA6xP5cvX0ZFRQXi4+PV0ryzTftC4CKQt7hQ1d2k/e3t8zlo0CAAwOnTp43a38PDA0eOHMG4ceOwcuVKMAyDlStXctlEs2qSM/gh98Fh9uF9aA2BFvfu3WMft/4R7u3trTGfvaCAzoFX430AAG/uK0e1gbdZ3TLHDzwet+vEE8u5desWACAwMJC7Qnk8RKfv1rBZ++dEU1phYaHJk9S03erXGm0xhKenJ0QiEfv+KAsJCUFxcbFB5a1atQrR0dHsD7eay5dxfaPmkXvr0yZ9334HLgEBetdVcFeKD45Wa0xrfRrkrSkd4OcpUNnWIFVg1/EaFJU1DzIGh7lYZA0Ne8S0WhNC+bk9fi/bTUCPSfgHMi40wsVF8wfdXBTy5uNWMj1mpb41uXkGsVQqxTuHG1Eu0TwhZ0W8HH5+zefQmpq0j+xb6pSbMLHHGC316fOaudZSpyF1S6VSFL71JmRized8O6VuhL8eX6jGvN7y8nIAQIcOHQzeV5OwVavh1bOnxrTk5GS1benp6aisrMTixYvV0lqPPgz12lh3hHXWPLKzdFuM4evrC7GGz8SUKVM0btckPz8feXl58PPzQ2hoKNdN5FxVnRwf/1SNO/ebv7ce7SXClGHudhmczEX5x3dlZaVKWlVVlcZ89sJuAjoA3LhxA0Kh0OL1hroBGRkZBu0T5QxAy7yX7GwDCuobgXMG1cyRvhEGv2Yu6VN3lx8PQdDY2Ga+v1Ysx19/Py5+epLWL7e6ujqN23VxdW0OePX19Qbvq8mN9esAaD7cnpKSorYtKysLRUVFGtNMte1oLYBajYfbLd0WY9TX18PNTX2C6dtvv63X/qdOnUJ8fDz8/f2RmZmJXr16sWmeffqovUctI3NTT5WEd3ZW6/OWkbmuUx937zfh44xqVNYqwAPw5EA3jI6kCbathYaGomPHjigtLYVEIkFxcTF7Hv3ChQtsvpiYGGs10Wh2FdDDwsLg4mLZy2UUcjmYv25h9OjRFv8xIZPJkJGRYfG6rVWvvnXfTE1F3Y3rRpUffOA7AEC/T3eppbWMtg0R8PfIn+tLXPKSZiN0y1Z4czTyN8WiNDFSnhaig49325lthEKhQFVVFSIiIozaPzc3F2PHjoVIJEJmZiYiIyNNbhOjUEBe23xeW670Q1Qha0JTTQ0AgC8SgW/E39z1v2T4NLMa9VIGAj4wY7gnBoba7qWF1vbcc8+xVzD885//xPbt23H+/Hns378fAODl5YWpU6das4lGsauALuDzIeBbframHIBQKLTK0QFYsW5bfM1cLYP6x/x56PP+BxAprSRmzGuNiIgAn89HQUGBWlpVzFCTJsbdXLwIADeT4/p7F5o0MS7lgAyA7a4Q11pBQQEUCoXKrGVDhIeHIzY2FqmpqUaX0Zq0vByX/vGG2vbK7DOo/Ptz8tD85+FnxCplR/Jq2TvlyRXA5ydr8PnJGpU8ms63t1erV6/GsWPHkJeXh2+++QbffPMNm8bn8/HJJ5/Al+NLCy2BrmUgdoPrNc0vv/oKrhw+bFIZPj4+iIyMRG5urtoEm7iFC00qu0Ve0mxIGxpMKmP+pMGctGVRmhgNjZafW2Go7L/Pa8XGxhq1v7e3Nw4dOsRZMCe2xd3dHSdPnsSqVasQHh4OZ2dn+Pj4YOzYsThx4gSmTZtm7SYaxa5G6KT9MiSYK49oGYbBuTlJWvPWf70PNQMHwtOECTATJ05ESkoKcnJyNC79yoWLC17QOvvd0pbtbZ44ZMuj9YyMDAgEAowfP95idbZ1JMUlIMDooy1t9XXLlTZEf56enli3bh3WrVtn7aZwhkboxOYZEsx9Bg9Sec7j8QAn3b9br/9zqVHtajF//nwIBALs2bNHLY3La8k13Xa1ZSKaPswdgA1piznV1dXh4MGDmDBhAoKCLHPvBUJsAQV0YtMuvm/YDTakQx9R29Zz1eo29/tjyWKD6lHWpUsXJCYmYu/evaitVV8z2+sN9fOmxuDix8H8YTVtZ9KDLY/O9+3bB4lEgiVLlli7KYRYFAV0YtOkubkG5a/T8APg2v+taXO/fu9tMaie1tavXw+JRILt27erpYVFRsHXxNsxcjXS79+7O2J6mHb7X1sO5k1NTdiwYQMSEhIwYsQIazeHEIuigE5s1p9fGBfErq5JYR9fWb1a46FqZVwEy+7du2P37t1wd3fXmB48/3kEb/yXUWVzetgewPThXlgx3rjpM7YczIHmlftmzpyJd9/V7w52hDgSmhRHbJb455+N2q/u5k29zru7du+O3iltj9711dZ1q76dO8N39+fIm5PU5o8MAHhoQgL8pkzhqnkqOgX4YOtcYHGaWMMtYdQ93sMDCcNtf/nQkJAQm1nYhhBLo4BO2iWuR70G1a00Uz1/4UvsYiMA4NK5M/oaOZI3hvI67Sv2ilGntPBeR28BVk2y/sI2hBD9UEAnNumGkaPzNjk5IXrXZ23ns5DIDz+ydhNYqdPNfzg9/mEPs9dBSHtFAZ3YJJmJC75oErnrMwjauISNEELsFX27EZvUVF3VdiZ92ciCLIQQYk4U0IlD848biW5z51q7GYQQYnZ02RpxaOKsE5yvAU8IIbaIAjqxSQJvbm/VmZc0G7k//cRpmYQQYksooBOb5BI/jvMyBV/uab4GnBBCHBAFdGKTQp94wjwFMwzykmaj5L//NU/5hBBiJTQpjrRL5Tt3oHznDqsuMAMA5198EYr6Ova5c2AgIjZt5rSOOwe+47Q8ZUFPTzJb2aZa/mU56qUP1sEL8OJj9WRfTus4clbCaXnK6Jp9YigK6MRmBYweg7IM8573zkuaDeeXX0bEkBiz1qNSp46lX6X37rGT+LxGjUJY0hyLtcsR6FrKtqxagUVpYgDA0L7ueDbG1XINI8QC6JA7sVldZ860SD3S7dtxadkyk8pQKBSIiorCuHHaz/2X37nTHKz1WMcdAKqPH7ebGfrXr1+Hk5MTPvzwQ87L1qdv75bexyI916UHgDOXatngbuvM2bfEsVBAJzbNefAQi9TTeO8vk/ZPT09Hfn6+1huDFO34BCUrlhtVtj0E9R49emDGjBlISUlBdXU1p2W31bd7fqnGxh/lRpVtD0HdnH1LHAsFdGLTIl55xSL1mLKSnFwux5o1axAbG4shQ9R/gFw/dw73T53SXf/uz9l/mthDUF+6dCnKysqwbZv6PemN1Vbf5l++iZwbUp1lbJ3rz/7TxB6Cujn6liuy6mrc2vMFLr7xOs7New4XXnkZhR+8j/qSEpPLrqlX4NszEqzZX4HXd4ux6qtypJ2oxu2KJpPKlUqlWLZsGUaOHAkvLy/weDzweDzExcWZ3GZrooBObJ65J671MHES2uHDh1FSUoJZs2ZpTK95T/e9ub2WvK5XPZqCelxcHEJCQvTa39z69euHqKgo7Ny5EwqFQmdefdvdVt/uOuOlc/95Q/WbtKYpqNtr31qSrLIS19akoCwjA1KxGExTE5pqalCZk4Ora/8PNVeuGF12VZ0C7x6qxC+XG1AhUUCuACQNDM4VSfHeoUpc/0tmdNl1dXXYtGkTsrKyUFNTY3Q5toYCOrEL5grqrlOnwTMw0KQy0tPTwePxMHnyZLU0fUbW1W0E/BYBT000tGkWl5iYiJKSEmRmZnJSnq6+1WdkveuMfjPFnxjgYnDbLM3Uvi0xYsSclzRb52f41t4vIRU3vw8BY/4f+m//EMEvvgTweGCkUpTs3AFGrvl0yKI0sc738MD/JKiQNP94ie0rwobpvpgd6wkeD5DJgS9/rYFcoe+sCVVCoRAvvfQSPvvsM5s86mEsmuVO7Eb07s85PfTcd/t2uHh4mlQGwzDIyspC79694ePjY3Q5za+LB2iZ1mXty+v0NWzYMADA8ePHMXr0aJPK4qpvF6WJwWMAhqc5XduheFtjSt9mZ2dj1KhRePPNN7F8uXFzOVprqq1FZW4uAIAnFCLomWfAd3aG77BhKM/KguTKZUjFYlT/8Qe8o6IMKruuUYHzRc2nUoQCYMJAdwideBgY6oLTVxtw/S8ZKiQKXL0jQ9+uzga33d3dnZ1kePToUYP3t1U0Qid2JXr35/Do3ZuTckwN5gBw+fJlVFRU4OGHH1ZLyzJ4VrJ6MOe7utpNMAeAQYMGAQBOnz5tclm6+vbT73IMKktTMBcJeXYTzAHT+jYiIgIDBw7EihUrkJqaykl76ouLgb9H3y6BncB3fhBYXbt1ZR/X3bhhcNm3ypvQMvj29xJA6PTgDQzqIGAfF5UZf9jdEdEIndid8BUrAQAXXnsFTVWGzfodkL4bPJ6WoZoRbt26BQAI1HDY3jv7jEll21Mgb+Hp6QmRSMT2iyl09e2Fqu4mlW1PgbyFKX3r4eGBI0eOYNy4cVi5ciUYhsHKlStNao+s6sEtjgVubippfNcH1/jLjLgVck3Dgx+3bs6qf68ipec19cYdcndUdhXQ5QoF5BaeEKL4+xeoTGb5X4ItdVq6bmvVa2jdvd95D0DzjNWi5GRIy0o15gv61yb4+vkBAJqatM+ONeb1lpeXAwA6dOhg8L5aabl/u64fIprSCgsLrTKpy9fXF2Lxg3OjxrbbHH3LA7BFQzC3174FgJCQEBQXFxtUzqpVqxAdHY34+Hh2W83ly7i+UfPovfWprr5vv9MqB6P1KQ88FNyV4oOjmn98tz6P/tYU1fdbLWSrlE2U2U1Az/7P25BOexhOrX4JWkpGRoZV6rVm3Xb1mocP15pUkp2tVxF1dXVtZ2rF9e+RSH19vcH7ahK2ajW8evbUmJacnKy2LT09HZWVlVi8eLFaminnnU1RX18PN6W/U2PbzXXfvjbWHWGdNa8OZ699CwBTpkxRC/La5OfnIy8vD35+fggNDTWpLUKlOyLKW/3tyJWWM3by1n0lgiaeogehur5RNaTXyx4893SlkK7MbgI6AIwZMwZeXoZ/OEwhk8mQkZGB0aNHQygUtou62+NrBh6Mtg0REBAAAKioqOCkDTfWrwOg+XC7poVVsrKyUFRUpHXRFUtTKBSoqqpCREQEu83YdnPdt9uO1gKo1Xi43V77FgDefvttvfY/deoU4uPj4e/vj8zMTPTq1Usl3bNPH7XPXcvIXNPn0cndHTyBAIxcjsZ796CQStnz6A1KpwXcQsPQubOzWr+3jMw1vR9uLjwI+IBcAYhr5JA1Mex59Lv3HxxlCw6w7HeErbOrgC4UCi3+Jd+e625vr9mY+iIiIsDn81FQUMBpW/KSZiN0y1Z4c3ko3wIKCgqgUCjQv39/k8syV98uShMj5WkhOvh4t53ZhpjSt7m5uRg7dixEIhEyMzMRGRlpcnsEbm7wHjQYldlnwMhkuLN/PzpNnIiaCxcguXoVAODs7w+vfv0MLtvVmY+oYGecLZRCJgd++L0WYwe44cptGW7caw7ovh589Aoy/jui5aiG8up7MpmM3e7m5qZ2NMTW2VVAJ8TW+Pj4IDIyErm5uWAYRuV8a1XMUJMmxt1cvAiAfU2Oy/779EZsbKzJZenq2/7ehSZNjEs5IAMgtqvJcab0bXh4OGJjY5GamsrJj60WXadPR92N65CKxSj76RjKfjrGpvGcnfHQ8y+AJxDoKEG7iUM8UFRWiQqJAicvNeDkpQY2TSgAZgz3hIBv/CH3liNAyk6fPs1uT05OtpmjM/qiy9YIMdHEiRNRVVWFnBzVS6niFi7kpPy8pNmQNjS0ndEGZGRkQCAQYPz48ZyUp61v508azEn5i9LEaGi0j0ufTOlbb29vHDp0iNNgDgBCHx/0TE6B/xNPwNnfHzyBAE6envAZNBi93nwLniZcYurtxsfr430wvI8Ivh58CPiAuwsPUcHOWDLeBz060eH21miEToiJ5s+fj7Vr12LPnj0a1xvnwsUFL2id/W4r6urqcPDgQUyYMAFBQUGclGmJvl22t/myKlserZujb/Whz9EhoZcXus2aDcwybNEnffrb05WPKUM9MGWoQUXrhdHzrof2hEbohJioS5cuSExMxN69e1FbW6uSxunhcg1fQC0Tt2zBvn37IJFIsGTJkjbz6ttuXX1r7gBsr31L2i8K6IRwYP369ZBIJNi+fbtamtcbb3BShy2fS29qasKGDRuQkJCAESNGcFq2rr6dP4ybG2vY8ujcnH1LHAsFdEI40L17d+zevRvu7u5qaWGRUfDVcZ28Pmw5mAPNq7rNnDkT776r341mDKGrb/v37o6YHoav5a3MloM5YN6+JY6FzqETwpGpU6dqTQue/zw8nxyP4uXLDC7X1oM50LxamTlnBOvq2+nDvTCqdyVSDxl+j2xbD+aA+fuWOA4aoRNiIb6dOzcHZz3Xkn9oQoJdBHNb0CnAB1vn+uu9FOjjPTzsIpgTYggaoRNiYcoz1fMXvgS50mQvl86d0Xfjv6zRLIegvE77ir1i1DU+SOvoLcCqSfa1UA8hhqCATogVRX74kdnrCHp6ktnrsEWp080/Ao9/2MPsdRCiLzrkTgghhDgACuiEEEKIA6CATgghhDgACuiEEEKIA6CATgghhDgACuiEEEKIA6CATgghhDgAug6dECs6/+KLUNTXsc+dAwMRsWkzp3UcOSvhtDxltnwd9vIvy1EvfXCHugAvPlZP9uW0jjsHvuO0PGXtdf0AYjwK6IRYWN6cJI23QgUA6b17yEtqvq+016hRCEuaY8GW2b/FaWJou8t1WbUCi9LEAIChfd3xbIyr5RpGiAXQIXdCOKBQKBAVFYVx48ZpzVN+505zsNYSzFurPn6cDe627vr163BycsKHH37Iedn69O3d0vtYpCOYt3bmUi0b3G2dOfuWOBYK6IRwID09Hfn5+VrvilW04xOUrFhuVNn2ENR79OiBGTNmICUlBdXV1ZyW3Vbf7vmlGht/lBtVtj0EdXP2LXEsFNAJMZFcLseaNWsQGxuLIUOGqKVfP3cO90+d0llG9O7P2X+a2ENQX7p0KcrKyrBt2zbOymyrb/Mv30TODanOMrbO9Wf/aWIPQd0cfcsVWXU1bu35AhffeB3n5j2HC6+8jMIP3kd9SYnJZdfUK/DtGQnW7K/A67vFWPVVOdJOVON2heG3ylUmlUqxbNkyjBw5El5eXuDxeODxeIiLizO5zdZEAZ0QEx0+fBglJSWYNWuWxvSa997Vub/Xktf1qkdTUI+Li0NISIhe+5tbv379EBUVhZ07d0KhUOjMq2+72+rbXWe8dO4/b6h+EwI1BXV77VtLklVW4tqaFJRlZEAqFoNpakJTTQ0qc3Jwde3/oebKFaPLrqpT4N1DlfjlcgMqJArIFYCkgcG5IineO1SJ63/JjC67rq4OmzZtQlZWFmpqaowux9ZQQCfEROnp6eDxeJg8ebJamj4j6+o2An6LgKcmGto0i0tMTERJSQkyMzM5KU9X3+ozst51Rr9Z+E8McDG4bZZmat+WGDFizkuarfMzfGvvl5CKm9+HgDH/D/23f4jgF18CeDwwUilKdu4AI9d8OmRRmljne3jgfxJUSJp/vMT2FWHDdF/MjvUEjwfI5MCXv9ZArtB31oQqoVCIl156CZ999plNHvUwFs1yJ8QEDMMgKysLvXv3ho+Pj9HlNH9p8gAt07q0HYq3NcOGDQMAHD9+HKNHjzapLK76dlGaGDwGYHia07Udirc1pvRtdnY2Ro0ahTfffBPLlxs3l6O1ptpaVObmAgB4QiGCnnkGfGdn+A4bhvKsLEiuXIZULEb1H3/AOyrKoLLrGhU4X9R8KkUoACYMdIfQiYeBoS44fbUB1/+SoUKiwNU7MvTt6mxw293d3dlJhkePHjV4f1tFI3RCTHD58mVUVFTg4YcfVkvLMnhWsnow57u62k0wB4BBgwYBAE6fPm1yWbr69tPvcgwqS1MwFwl5dhPMAdP6NiIiAgMHDsSKFSuQmprKSXvqi4uBv0ffLoGdwHd+EFhdu3VlH9fduGFw2bfKm9Ay+Pb3EkDo9OANDOogYB8XlRl/2N0R0QidEBPcunULABAYGKiW5p19xqSy7SmQt/D09IRIJGL7xRS6+vZCVXeTyranQN7ClL718PDAkSNHMG7cOKxcuRIMw2DlypUmtUdWVcU+Fri5qaTxXR9c4y+rroKhahoe/Lh1c1b9NSZSel5Tb9whd0dlVwFdJpNBJrPsL7KW+ixdrzXrbo+v2dg6y8vLAQAdOnTgriE8HqLTd2vYrOWYsZa0wsJCq0zq8vX1hVj84Nyose02R9/yAGzREMzttW8BICQkBMXFxQaVs2rVKkRHRyM+Pp7dVnP5Mq5v1Dx6b30eve/b77TKwWh9ygMPBXel+OCo5kvuWp9Hf2uK6vutFrJVyibK7Cqg//TTT3Br9UvQUjIyMqxSrzXrbm+vua6uru1Mrbj+PRKpr6/npA1hq1bDq2dPjWnJyclq29LT01FZWYnFixerpZly3tkU9fX1Kn+nxrab6759baw7wjprXh3OXvsWAKZMmaIW5LXJz89HXl4e/Pz8EBoaalJbhN7e7GN5q78dudJyxk7euq9E0MRT9CBU1zeqhvR62YPnnq4U0pXZVUAfM2YMvLwM/3CYQiaTISMjA6NHj4ZQKGwXdbfH1ww8GG0bIiAgAABQUVHBSRturF8HQPPhdk0Lq2RlZaGoqEjroiuWplAoUFVVhYiICHabse3mum+3Ha0FUKvxcLu99i0AvP3223rtf+rUKcTHx8Pf3x+ZmZno1auXSrpnnz5qn7uWkbmmz6OTuzt4AgEYuRyN9+5BIZWy59EblE4LuIWGoXNnZ7V+bxmZa3o/3Fx4EPABuQIQ18gha2LY8+h37z+4Bj04wLLfEbbOrgK6UCi0+Jd8e667vb1mY+qLiIgAn89HQUEBp23JS5qN0C1b4c3loXwLKCgogEKhQP/+/U0uy1x9uyhNjJSnhejg4912ZhtiSt/m5uZi7NixEIlEyMzMRGRkpMntEbi5wXvQYFRmnwEjk+HO/v3oNHEiai5cgOTqVQCAs78/vPr1M7hsV2c+ooKdcbZQCpkc+OH3Wowd4IYrt2W4ca85oPt68NEryPjviJajGsqr78lkMna7m5ub1Y4IG8uuAjohtsbHxweRkZHIzc0FwzAq51urYoaaNDHu5uJFAOxrclx2djYAIDY21uSydPVtf+9CkybGpRyQARDb1eQ4U/o2PDwcsbGxSE1N5eTHVouu06ej7sZ1SMVilP10DGU/HWPTeM7OeOj5F8ATCHSUoN3EIR4oKqtEhUSBk5cacPJSA5smFAAzhntCwDf+kHvLESBlp0+fZrcnJyfbzNEZfdFla4SYaOLEiaiqqkJOjuqlVHELF3JSfl7SbEgbGtrOaAMyMjIgEAgwfvx4TsrT1rfzJw3mpPxFaWI0NNrHpU+m9K23tzcOHTrEaTAHAKGPD3omp8D/iSfg7O8PnkAAJ09P+AwajF5vvgXP3r2NLtvbjY/Xx/tgeB8RfD34EPABdxceooKdsWS8D3p0osPtrdEInRATzZ8/H2vXrsWePXs0rjfOhYsLXtA6+91W1NXV4eDBg5gwYQKCgoI4KdMSfbtsb/NlVbY8WjdH3+pDn6NDQi8vdJs1G5hl2P0G9OlvT1c+pgz1wJShBhWtF0bPux7aExqhE2KiLl26IDExEXv37kVtba1KGqeHyzV8AbVM3LIF+/btg0QiwZIlS9rMq2+7dfWtuQOwvfYtab8ooBPCgfXr10MikWD79u1qaV5vvMFJHbZ8Lr2pqQkbNmxAQkICRowYwWnZuvp2/jBubqxhy6Nzc/YtcSwU0AnhQPfu3bF79264u7urpYVFRsF3+HCTyrflYA40r+o2c+ZMvPuufjeaMYSuvu3fuztiehi+lrcyWw7mgHn7ljgWOodOCEemTp2qNS14/vPwfHI8ipcvM7hcWw/mQPNqZeacEayrb6cP98Ko3pVIPWT4PbJtPZgD5u9b4jhohE6Ihfh27twcnHUsM6rsoQkJdhHMbUGnAB9sneuv91Kgj/fwsItgToghaIROiIUpz1TPX/gS5EqTvVw6d0bfjf+yRrMcgvI67Sv2ilHX+CCto7cAqybZ10I9hBiCAjohVhT54UdmryP+YQ+z12GLUqebfwQe9PQks9dBiL7okDshhBDiACigE0IIIQ6AAjohhBDiACigE0IIIQ6AAjohhBDiACigE0IIIQ6AAjohhBDiACigE0IIIQ6AAjohhBDiACigE0IIIQ6AAjohhBDiACigE0IIIQ6AAjohhBDiACigE0IIIQ6AAjohhBDiACigE0IIIQ6AAjohhBDiAJys3QB9MAwDAKiurrZ43TKZDHV1daiuroZQKGwXdbfH1wwANTU1AB583gghxJ7YRUBv+aLt1q2blVtC2oOamhp4e3tbuxmEEGIQHmMHwxGFQoE7d+7A09MTPB7P2s0hDophGNTU1CAoKAh8Pp2NIoTYF7sI6IQQQgjRjYYhhBBCiAOggE4IIYQ4AArohBBCiAOggE4IIYQ4AArohBBCiAOggE4IIYQ4AArohBBCiAOggE4IIYQ4AArohBBCiAOggE4IIYQ4AArohBBCiAOggE4IIYQ4AArohBBCiAOggE4IIYQ4AArohBBCiAOggE4IIYQ4AArohBBCiAOggE4IIYQ4AArohBBCiAP4/zej75ntoTAFAAAAAElFTkSuQmCC" ], "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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Z1157TWV7C+Xynn32Waa0tJT5/fff2eAuEokYhULB7q98uWRrEydOZOtz9epVRiqVMn/99Rdz+PBhJiEhwUStSEzh7t27Kp+NP/74Q+v+ixYtYvcdN24cU1JSwty8eZN58skn2e2LFi1i9zc0oANg3njjDaaiooI5ePCgyg8GZW3lzzDG/Y08/vjjzNWrV5na2lrm0qVL+jWqcv0MPpIQYpV0Dei1tbVsbyk0NJRhGIbJzs5m93vhhRfYPDt37qw1TwDMhAkT2P1btvH5fKaiooLdPmjQIDbt9u3b7HZtAX3JkiUMAIbH4zHTp09nPvjgA+bQoUPMnTt3uG46YmJ37txR+cycPXtW6/7Kn7vz58+z23NyctjtXbp0YbcbGtB9fX3Zu04yDMN4e3szABgnJyeVfLQFdEP/RgAwxcXF7TWdTkyy9CvXFAoFbt26BTc3N7o7FTEZhmFQU1MDf39/zq/ht5S4uLg214p3cXHBjBkzsHPnTuTm5uL8+fP4/PPP2fSFCxeyj5XXtG9LWVmZ2raOHTuqrIGvfBlSQ0ODLi8Bq1evRn5+Po4cOYLU1FR2VUk+n49p06bh888/V1uGmFgnHx8fuLu7s+e+L126hPDw8Db3V/7cKd9ISvm8tabPJtPqSommpiat9erZsyd710mg+XNaXl6u103CDP0b8fX1RdeuXXUuRxubCOi3bt3i7AUbYkFYaPs7mciu87kWK/tB9ddff6FLly6WroZZLFiwADt37gQAJCcn48svvwQADBw4EIMGDWL38/Pzw82bN8Hj8XDz5k106tRJLa/WX6KAbjf/0bYdaL7m99ChQ6isrMSFCxdQUFCA1NRUHD16FF9++SWio6Px7LPPtv9iicXx+XxMnDgRX3zxBYDmyY7PPfecxh9kTU1N7OcOaJ6I1nKvB+VLxvz8/NjHTk5OaGxsVJkprlAocOPGDa310vVzqo2hfyNt3dzJEDYR0N3c3AAABQUF7GNzkclkyN31KQK7dYPAzL02uUKB0Q5CPP744watfGcomUyGEydOmL1cS5ddUVGBXr16mf0zZkkDBgzA4MGDkZ2dje3bt7M9mQULFqjsN3nyZHz88cdgGAZxcXHYunUrevTogfLycvz222/47LPPMH36dMyePdugenh7e7Nf0ufOnVO5/jgpKQlA8/3lBwwYgEGDBqGwsBBHjx4FABQXFxtUJrGM1atX4/vvv4dEIkFubi4mTZqENWvWoF+/fpBIJPjtt9+wZcsWbN68GdHR0ewPzrfeegu7d+8Gj8fDW2+9xeYXHR3NPg4MDMSVK1dQVlaGM2fOYNiwYfjwww91umW3Lry9vVFeXo6ysjLcvHlT5f4hpv4b0YVNBPSWX0teXl5wd3c3a9kymQxCoRAuzs7gm3lYTyGXw0XoCG9vb7MHdBcXF7OXa+myW9jTaZ09e/Zgz549atsLCgrYYcsFCxYgOzubDeaurq6YPn26yv6JiYk4ceIELl26hLS0NPTr108tT2N6yY888gh757mWIdiIiAhkZGQgMzOzzaWhHRwc1C67I9atZ8+e+O9//4vY2FiUlZXh0KFDOHTokMZ9ExMT8fPPPyM/Px8//fSTSgBtyUt5EaXZs2dj5cqVAJo/U2KxGBKJBC4uLpzcffKRRx7BDz/8gNraWnYUr+W0lqn/RnRhHycKCSEGe+6551RGJZ599lm1UQovLy9kZmZizZo1CA8Ph1gsZu/bMHbsWHzwwQdG3ZcgISEBM2bMgJ+fn9oPqilTpiA2NhZBQUFwc3ODQCCAj48PIiMj8fPPP1vdamKkfY8//jjy8vKwZs0aDBs2DJ6enhAKhejcuTMef/xxbN26FT179oSvry+ysrIQHx+Pfv36QSQSwcnJCX379sWKFSuQlZUFHx8fNt9ly5YhPj4eAQEBcHR0RJ8+fXDw4EEMGTKEk3p/9NFHmDhxIry9vdXSTP03ogubWPq1uroaHh4eqKqqskgP/bdNG9GzZ0+L9ND/EDoiKirK7D30w4cPm71cS5ddXl4OHx8fi3zOCCHEWNRDJ4QQQuwABXRCCCHEDlBAJ4QQQuwABXRCCCHEDlBAJ4QQQuwABXRCCCHEDlBAJ4QQQuwABXRCCCHEDlBAJ4QQQuwABXRCCCHEDlBAJ4QQQuwABXRCCCHEDlBAJ4QQQuwABXRCCCHEDjhYugKEPMjOv/giFPV17HNHPz8Ev7/RInVZ/kU56qX376bs687H21O9OC3j1oHvOM1Pmf/kKSbLmxBbQAGdEDPLmRMHMIzGNOmdO8iJmw0AcB8zBkFxc0xalyXJZdBcE6C0WoHFyWUAgOH9xHhumLNJ60IIMQ4NuRNiJuW3bjUH6zaCeWvVx4+zwZ1rt+/ew2Itwby1M3/WssGdEGKdKKATwgGFQoGwsDBERUVpTC/c9SmKVyw3KG+ug/q+k9XY8KPcoGOtPahfu3YNDg4O2LFjh6WrQojZ0ZA7IRxISUlBbm4ukpKS1NKunTuHmlOntB4fvmcv+1hTAM+Jm62yj6Fy824g67q71n22zvVhH2sK4IuTy1T2sSY9evTAjBkzkJCQgJkzZ8LdXftrNaeqc+dQmZ2FuoICyCoroWhshLBDB7h0646OEyfCuWtXg/OWNChw7HwdikqbcLOiCbJ/fq8N7eGEGSPdOHoF9iEwMBBFRUVa9zlx4gRGjx5tngpxiHrohBhJLpcjMTERERERGDp0qFp6zYebtR7vvvR1ncrRFOhHjx6NwMBAnY4HgN1ntAe4ecMlOuWjKdDrWxdTWbZsGUpLS7Ft2zZLV0VF6c9pqPj1VzSUlEAukYCRySC9exeVmWdwefU7qDp/3uC8K2sV+OXPBhSW3g/mxHBubrb5I4gCOiFGOnz4MIqLizFr1iy1NF2Gy6vbCfgtfJ+epG/VVOgyXL77jKtOeT05wMmouphSSEgIwsLCkJSUBIVCYXA+xcXFeu2fEzdb6/vNEwjgNWoUer69CmFJn6Hve+/DtXfv5kS5HLe/+brNYxcnl2l9/5wdeYjoJ8KsUa4YF0qTF7UpLCwEwzAq/44ePcqmDxgwAIMGDbJgDQ1HQ+6EGCklJQU8Hg9Tp041OI/mQMAD2pimxsVwu64WJ5eBxwAMT3O6tQ63K4uNjcXKlSuRnp6OsWPH6n18ZmYmxowZg1WrVmH5csPmPrQW+OJLEDjfD7aijh3h/+xzuJqYAABouH3b4Ly93QSYMqz5x9hvl+uNqueDaPPm+z+q33jjDQvWxDjUQyfECAzDICMjA3369IGnp6dKWobeE7PUgznf2ZmTYP7Zd1n61URDMBcJeTYRzAFgxIgRAIDjx48bdHxwcDAGDRqEFStWYP369ZzUSTmYt1BIpexjRy9ur/knurl06RKOHTsGAOjSpQumTZtm4RoZjnrohBghLy8PFRUViIyMVEvzyDxjVN5c9sovVHUz6nhbCeQtBg8eDAA4ffq0Qce7urriyJEjiIqKQnx8PBiGQXx8PJdVhEImw+2vv2Kf+zyp/0gCMd7mzZvB/HMp6WuvvQahUGjhGhmOAjohRigpKQEA+Pn5cZcpj4fwlD0aNrcxBt5GWkFBgdGT1HgAtmgI5paoiz7c3NwgEonY90eZLrOcW1u5ciXCw8PZH241eXm4tkFzz731efR+mz6Ak6+vyjZ5fT1ubNuK2mvXAAAdHnkUvv+cGsi/LcXHP1VrzLv1efR3YjrA202g12sh9929exdffPEFgObPzIIFCyxcI+PYVECXyWSQyWRmLxMA5EZMrjFUS5mWes3mLtdaytZHeXk5AKBDhw6c1CFo5dtw79VLY9rq1avVtqWkpKCyshJLlixRS2t9CkBfr40XI6iT5glW5q6LIby8vFBWpj6RLCYmRuN2TXJzc5GTkwNvb290796dk3rJ7t3DtQ82oeGvvwAAPo+PQZfZs7X+SCKm8fHHH6OxsREAMH/+fHh4eFi4RsbhMYyOy1ZZUHV1NTw8PJCamgoXFxdLV4fYqbq6OkyfPh1VVVU6X7988OBBTJ48GfHx8Vi7dq1KmjELwug63D569GgUFhaisLBQ637GLAij63C7LnUx51ruXl5ecHJywm0DJ5udOnUKkZGRcHJyQnp6OkJDQ7Xu3/J+a3vv6ktKcP2DTZBVVAA8HjpNjUHHiRPbrUvL+6fLe/Hb5Xp8/XstALoOXZuGhgY8/PDDKC0thUAgwPXr1xEQEGDpahnFpnro48aNM/tCETKZDGlpaRg7dqzZz61YquwH8TUD93vb+vD9Zyi1oqKC07rkxM1G9y1b4cFRz98Yi5PLkDBZiA6ettN7USgUqKqqQnBwsEHHZ2dnY/z48RCJRDoFc13UXL6Mgq1bIK+rA8/BAQ/PfwFe/0zeM5aCYVDX2Nw3kzbd76M1yRlIGppH+kRCHhwENArQYu/evSgtLQXQPGpj68EcsLGALhQKLTZh4UEs+0F7zYaUFxwcDD6fj/z8fLW0qmHDjZoYd2PJYgDcTI7r71Fg1MS4hAMyANa7Qlxr+fn5UCgU6N+/v0HH9+zZExEREVi/fr3BebT294HvIK9rvrMe09SEok92ouiTnSr7aDrfrot7EgX+95t7atvPFkhxtqD5x+b0x1wxrKfIgJrbH4Zh8OGHH7LP33zzTQvWhjt02RohRvD09ERoaCiys7PR+uzV6EWLOCkjJ242pA0NRuUxf8oQTuqyOLkMDY3mn9+gr8zMTABARESEQcd7eHjg0KFDnAVzYl0OHz6My5cvAwBGjRrFXhVh62yqh06INZo0aRISEhKQlZWlcelXLlxauKDN2e/m9lZqFQDrvpQtLS0NAoEAEyZMMFuZ7Y2k9Fxh+GVv7bW1t5vAqt8Pa/PUU0+p/QC3B9RDJ8RI8+fPh0AgwL59+9TSOF3hTcMXUEZGRrsT4lqY+gtfn7qYUl1dHQ4ePIiJEyfC39/f0tUhxGwooBNipM6dOyM2Nhapqamora1VS3fnaClJLn4czB9Rw0FNrLt3vn//fkgkEixdutTSVSHErCigE8KBtWvXQiKRYPv27WppQaFh8Bo50qj8uerp9+/TDcN6OBqVhzUH86amJqxbtw7R0dEYNWqUpatDiFlRQCeEA926dcOePXsgFos1pgfMfwEBG94zKG+ub8wyfaQ7VkwwbPqMNQdzoHnlvpkzZ6rcbIOQBwVNiiOEI+3d1MGrUyd47dmLnDlxGs+Ht/bwxGh4x8RwVT0VHX09sXUusCS5rI37u6l6oocrokda/yVPgYGBSEhIsHQ1CLEICuiEmJnyTPXcRS9BrnTe3alTJ/QzsCdvCOV12leklqGu8X7aQx4CrJxi+YVtCCG6oYBOiAWF7tjZ/k5msn666YfTWy/PSgjhDp1DJ4QQQuwABXRCCCHEDlBAJ4QQQuwABXRCCCHEDlBAJ4QQQuwABXRCCCHEDlBAJ4QQQuwAXYdOiAWdf/FFKOrr2OeOfn4Ifn+jReqy/Ity1Evvrxvn687H21O9OC3jyFkJp/kpixzoarK8CbEFFNAJMTNtS79K79xBTtxsAID7mDEIiptj0rpoW/q1tFqBxcllAIDh/cR4bpizSetCCDEODbkTYiblt241B2sd1nEHgOrjx9ngzrXbd+9hsY7ruAPAmT9r2eBOCLFOFNAJ4YBCoUBYWBiioqI0phfu+hTFK5YblDfXQX3fyWps+FFu0LHWHtSvXbsGBwcH7Nixw9JVIcTsaMidEA6kpKQgNzcXSUlJamnXzp1DzalTWo9XvkWqpgCeEzebk9uo5ubdQNZ1d637KN8iVVMAX5xcZrW3Ue3RowdmzJiBhIQEzJw5E+7u2l+rOcmqq3Hnh/+i7sYN1BUVgZHJAABejz2GgBcWGJX3pb+kOF/UiOLSJlTXK9DYxMDThY+HfRwwNtQF/l70Vd+aRCLBhg0b8PXXX6OoqAguLi4YPnw4VqxYgZEjR1q6egahHjohRpLL5UhMTERERASGDh2qll7zofZ7c7svfV2ncjQF+tGjRyMwMFCn4wFg9xntAW7ecN0mrWkK9PrWxVSWLVuG0tJSbNu2zdJVUSG7dw+lx46h9to1Nphz5WRePTLzG3G7Uo7aRgZNcqCsRoGzBVJs/G8l/iyRclqerautrcWoUaOwdu1aXL16FY2Njbh37x6OHDmC0aNHY//+/ZauokEooBNipMOHD6O4uBizZs1SS9NluLy6nYDfwvfpSfpWTYUuw+W7z+g2U/zJAU5G1cWUQkJCEBYWhqSkJCgUCoPzKS4u1mv/nLjZWt9vgYsLfMeNQ8CLL8JvYrReeS9OLtP6/gn4wLCeTlgS5YGNs7yxckoHBPk198oVDHDoj9o2j30QrVmzBjk5OQCA2NhY3L17Fz///DNcXFygUCiwcOFCVFRUWLiW+qOAToiRUlJSwOPxMHXqVIPzaA4GcW0GhPA9e9FlinluPbo4uQxL/t12ANk61wcTw93MUhdDxcbGori4GOnp6QYdn5mZib59+2LDhg2c1cnJ1xddZsyE14hH4OjF7eWAs0e5YfpjbujmJ4SjAw8PeQjw9BAxm36nyrA5E/aIYRj8+9//Zp+///778PX1xRNPPIHY2FgAQHV1Nf7zn/9YqooGo4BOiBEYhkFGRgb69OkDT09PlbQMvSdmqc855zs7c3Lu/LPvsvSrCU99m0jIs9pz562NGDECAHD8+HGDjg8ODsagQYOwYsUKrF+/nsuqmYTIUf2rXKYUwzuI6au+RUFBAUpLSwEAbm5uCAgIYNP69+/PPj5z5ozZ62YsmilBiBHy8vJQUVGByMhItTSPTOO+ELgI5C0uVHUz6nhbCeQtBg8eDAA4ffq0Qce7urriyJEjiIqKQnx8PBiGQXx8PJdVNKkmOYMfsu8Ps4/sS2sItLhz5w77uPWPcA8PD4372QoK6IQYoaSkBADg5+fHXaY8HsJT9mjYrKHbrCWtoKDA6ElqPABbNARzS9RFH25ubhCJROz7oywwMBBFRUV65bdy5UqEh4ezP9xq8vJwbYPmnnvr0yb9Nn0AJ19fncvKvy3Fxz9Va0xrfRrknZgO8HYTqGxrkCqw+3gNCkubAABDgpwwqq9I5/IfJEyrNSGUn2v7jFsrmwroMpkMMh1nh0qlUhS8swqyMs3nATuu3wAfHf7IWsrTtVwuWarsB/E1G1pmeXk5AKBDhw6c1CFo5dtw79VLY9rq1avVtqWkpKCyshJLlixRS2vd+9DXa+PFCOqkuWdn7roYwsvLC2Ua/v5jYmI0btckNzcXOTk58Pb2Rvfu3bmuIueq6uT45Fg1bt1rHm9/tLcIMSPENhmcTEX5x3dlZaVKWlVVlcb9bIVNBfRjx47BxcVF6z6dfzwEQWNju3n9vWI5/v7ncdHkKe1+4NPS0nStJucsVfaD9prr6ura36kVZ+fmgFdfX89JHa6vfReA5uH2hIQEtW0ZGRkoLCzUmGasbT/VAqjVONxu7roYor6+XuP3xaZNm3Q6/tSpU4iMjISPjw/S09PRu3dvNs2tb1+196ilZ27sqZKenRzV2rylZ67t1Mfte034JK0albUK8AA8NcgFY0O1f18+iLp3746HHnoId+/ehUQiQVFREXse/cKFC+x+w4YNs1QVDWZTAX3cuHFtLhRxY/161F2/ZlC+AQe+AwCEfLZbLU0mkyEtLQ1jx46FUCg0KH9DWarsB/E1A/d72/rw/WeUh+tLXHLiZqP7lq3w4Kjnb4zFyWVImCxEB0+P9ne2EgqFAlVVVQgODjbo+OzsbIwfPx4ikQjp6ekIDQ01uk6MQgF5bfN5bblSp0Mha0JTTQ0AgC8SgW/A5/7a3zJ8ll6NeikDAR+YMdINg7pb76WFlvb888+zVzD861//wvbt23H+/Hl8/fXXAAB3d3dMmzbNklU0iE0FdKFQqPFLnqulMS/On4e+H30MkYYfDW2VbQ6WKvtBe82GlBccHAw+n4/8/Hy1tKphw42aGHdjyWIA3EyO6+9RYNTEuIQDMgDWu0Jca/n5+VAoFCqzlvXRs2dPREREYP369Qbn0Zq0vBx/vvmG2vbKzDOo/Odz8vD8F+BtwCplR3Jq2TvlyRXA3l9qsPeXGpV9NJ1vf1C9/fbbOHr0KHJycvDVV1/hq6++YtP4fD4+/fRTeHF8aaE52Py1DFyvc5336iu4fPgwp3kS++Xp6YnQ0FBkZ2erTbAZvWgRJ2XkxM2GtKHBqDzmTxnCSV0WJ5ehodH88xv0lZmZCQCIiIgw6HgPDw8cOnSIs2BOrItYLMYvv/yClStXomfPnnB0dISnpyfGjx+PEydO4Nlnn7V0FQ1iUz301vQJ5sq9HIZhcG5OXJv71v9nP2oGDYKbDU6KIOY3adIkJCQkICsrS+PSr1y4tHBBm7Pfze2t1OaJQ9bcW09LS4NAIMCECRPMVmZ7IylOvr4Gj7a019avRnoalO+DzM3NDe+++y7effddS1eFMzbbQ9cnmHsOGazynMfjAQ7af8tc+9cyg+pFHjzz58+HQCDAvn371NK4vJZc021XWyai6cLUAVifuphSXV0dDh48iIkTJ8Lf39/S1SHEbGwyoF/6SL+bLkiHP6K2rdfKt9s97uLSJXqVQx5MnTt3RmxsLFJTU1Fbq75mtvsb6udNDcHFj4P5I2ra30kH1tw7379/PyQSCZYuXWrpqhBiVjYZ0KXZ2XrtX6fhB8DV/01s97iQD7foVQ55cK1duxYSiQTbt29XSwsKDYOXkbdj5Kqn379PNwzr4WhUHtYczJuamrBu3TpER0dj1KhRlq4OIWZlcwH9r88N+2K7kpjAPr789tsahy+VcTpUSuxet27dsGfPHojFYo3pAfNfQMCG9wzKm+vP4vSR7lgxwbDpM9YczIHmlftmzpyJzZt1u4MdIfbE5ibFlf38s0HH1d24odN5d+du3dAnof3eOyGttXfdqlenTvDasxc5c+La/UEJAA9PjIZ3TAxX1VPR0dcTW+cCS5LLNNwSRt0TPVwRPdL6lw8NDAy0moVtCDE3mwvopkS9cmIOyjPVcxe9xC42AgBOnTqhn4E9eUMor9O+IrUMdUqLLD7kIcDKKZZf2IYQohubCuhFJ06YJmMHB4Tv/nf7+xHCsdAdOy1dBdb66aYfTo8c6GryMgh5UNlUQGdMsL536O5/Q9DOJWyEEEKItbOpSCav0XxLQYNYySIdhBBCCBdsKqDnBP4PJ/n0GdQDj0Tb3p10CCGEkLbYVEA/z1FAP18O/CfZdm40QQghhLTHpq5Dd+P4qpnFyWVI/+0ct5kSQgghFmBTAf3Rrvc4z/O/+V2wJLmM83wJIYQQc7KtgB5qmrufMWjurZ/5kwI7IYQQ22RT59BN7ctM4MtMOrdOzOf8iy9CUV/HPnf080Pw+xs5LePWge84zU+Z/+QpJsvbWMu/KEe99P46eL7ufLw91YvTMo6clXCanzK6Zp/oy+YC+qi+IpzMazBpGYuTyzAzvAxDBvQxaTnkwaRt6VfpnTvsEsXuY8YgKG6OGWtm+7QtZVtarcDif06vDe8nxnPDnM1XMULMwKaG3AFg6nDz/Grdl+ODtd9VmKUsYvsUCgXCwsIQFRXV5j7lt241B2sd1nEHgOrjx3W6/4A1uHbtGhwcHLBjxw7O89albW/fvYfFOq5LDwBn/qxlg7u1M2XbEvticwEdAEL9pWYpp7RKYZZyiO1LSUlBbm5umzcGKdz1KYpXLDcob1sI6j169MCMGTOQkJCA6moOF4BC+22772Q1NvwoNyhvWwjqpmxbYl9sMqDP+x9/s5Szhc6lEx3I5XIkJiYiIiICQ4cOVUu/du4c7p06pTWP8D172X+a2EJQX7ZsGUpLS7Ft2zbO8myvbXPzbiDruvYf+Fvn+rD/NLGFoG6KtuWKrLoaJfs+x6U3Xse5ec/jwisvo+Djj1BfXGx03jX1Cnx7RoLEryvw+p4yrPyyHMknqnGzosmofH/77TcsWrQIAwcOhJ+fH5ycnBAYGIjo6Gicaudv1ZrZZEAHTH9f5rcnuZg0f2I/Dh8+jOLiYsyaNUtjes2H2u/N7b70dZ3K0RTUR48ejcDAQJ2ON7WQkBCEhYUhKSkJCoX20S1d691e2+4+4671+HnDdZu0pimo22rbmpOsshJXExNQmpYGaVkZmKYmNNXUoDIrC1fW/C9qLl82OO+qOgU2H6rEybwGVEgUkCsASQODc4VSfHioEtf+lhmc9759+7Bz507k5OTg7t27kEqlKCoqwg8//IDHHnsMSUlJBudtSTYb0AHTBfUJ/Wrh24ECOtFNSkoKeDwepk6dqpamS8+6up2A38L36Un6Vs3sYmNjUVxcjPT0dE7y09a2uvSsd5/Rbc7NkwOc9K6buRnbtsUG9Jhz4mZr/QyXpH4BaVnz++A77n/Qf/sOBLz4EsDjgZFKUZy0C4xc8+mQxcllWt/DA/8nQYWk+cdLRD8R1k33wuwIN/B4gEwOfPFrDeQKXWdNqOLz+YiJicGxY8cgkUhQUlKCmJgYNn3FihWQt1Fva2Zzs9xb2zrXh9Mhs7XT3OHqQkPtRDcMwyAjIwN9+vSBp6enwfk0f2nygDamdbU1FG9tRowYAQA4fvw4xo4da1ReXLXt4uQy8BiA4WlOt5XLVI1p28zMTIwZMwarVq3C8uWGzeVoram2FpXZ2QAAnlAI/2eeAd/REV4jRqA8IwOSy3mQlpWh+uJFeISF6ZV3XaMC5wubT6UIBcDEQWIIHXgY1N0Jp6804NrfMlRIFLhyS4Z+XRz1rvuGDRvg7n5/dEcsFmPHjh345ptvAADl5eUoLS1Fx44d9c7bkmy6h95i61wf9Oho/G+TrXN94Oqi/4eDPLjy8vJQUVGBgQMHqqVl6D0rWT2Y852dbSaYA8DgwYMBAKdPnzY6L21t+9l3WXrlpSmYi4Q8mwnmgHFtGxwcjEGDBmHFihVYv349J/WpLyoC/unFOvl1BN/x/nenc9cu7OO669f1zrukvAktnW8fdwGEDvffQP8OAvZxYalhw+7KwbxFXd399SBcXFzg7e1tUN6WZPM99BavRnoCAFbtL0d1vX7DMFvmeIPHa+PnOyFalJSUAAD8/NRXMfTIPGNU3rYUyFu4ublBJBKx7WIMbW17oaqbUXnbUiBvYUzburq64siRI4iKikJ8fDwYhkF8fLxR9ZFVVbGPBS6qpyj5zvev8ZdVV0FfNQ33v8NdHFW/m0VKz2v0/K5vC8MwePPNN9nnCxcuhFAo5CRvc7KpgC6TySCTaf9F9s7U5l9eUqkUHxxuRLlE8wSSFZFyeHs3rxrV1NT2jMmW8tor1xQsVfaD+JoNLbO8vBwA0KFDB+4qwuMhPGWPhs1t/+jUlFZQUGCRSV1eXl4oK7t/GszQepuibXnQfPWKrbYtAAQGBqKoqEivfFauXInw8HBERkay22ry8nBtg+bee+vz6P02fdBqD6bNpzzwkH9bio9/0nzJXetTpu/EqL7faiFbJW/jSaVSPP/88+xw+5gxYzgbxTA3mwrox44dg4uL7pPVwhwBtLHSY2amfmWnpaXpdwCHLFX2g/aalYfcdOX8T0+kvr6ekzoErXwb7r16aUxbvXq12raUlBRUVlZiyZIlamnGnHc2Rn19vcrfqaH15rptXxsvRlAnzavD2WrbAkBMTIxakG9Lbm4ucnJy4O3tje7duxtVF6GHB/tY3upvR660nLGDh/YrETRxE90P1fWNqiG9Xnb/uZuzcSG9uroakydPxvHjxwEA0dHR2L9/P5ycrH+SpCY2FdDHjRun8dyHKclkMqSlpWHs2LFmH4KxVNkP4msG7ve29eHr6wsAqKjgZlXB62vfBaB5uF3TwioZGRkoLCxsc9EVc1MoFKiqqkJwcDC7zdB6c922236qBVCrcbjdVtsWADZt2qTT8adOnUJkZCR8fHyQnp6O3r17q6S79e2r9rlr6Zlr+jw6iMXgCQRg5HI03rkDhVTKnkdvUDot4NI9CJ06Oaq1e0vPXNP74eLEg4APyBVAWY0csiaGPY9++979EdUAX8O/I27evImoqCjk5uYCAF5++WVs3boVAoGgnSOtl00FdKFQaLHzGg9i2Q/aazakvODgYPD5fOTn53Nal5y42ei+ZSs8uBzKN4P8/HwoFAr079/f6LxM1baLk8uQMFmIDp4e7e9sRYxp2+zsbIwfPx4ikQjp6ekIDQ01uj4CFxd4DB6CyswzYGQy3Pr6a3ScNAk1Fy5AcuUKAMDRxwfuISF65+3syEdYgCPOFkghkwM//FGL8QNccPmmDNfvNAd0L1c+evsb9h1x8eJFREZGoqSkBDweD++99x6WLVtmUF7WxC5muRNiKZ6enggNDUV2djaYVmu0Vw0bblTeN5YstokV4pRl/nMuKyIiwui8tLVtf48Co/JOOCCziRXilBnTtj179kRERASOHz/OSTBv0WX6dDj6NPewS48dxYVFL6Fw5w6AYcBzdMTDLywAz8Ae76ShrvBybQ5Rv/zZgBWpFdjzSw0YpvlSthkj3SDgGzbkvmnTJnZyIcMw+Ne//gUej6fyLyMjw6C8LYkCOiFGmjRpEqqqqpCVpXop1ehFizjJPyduNqQNpr3DIFfS0tIgEAgwYcIETvJrq23nTxnCSf6Lk8vQ0Gj+CZiGMKZtPTw8cOjQIU5GTpQJPT3Ra3UCfJ58Eo4+PuAJBHBwc4Pn4CHoveoduPUx/I6VHi58vD7BEyP7iuDlyoeAD4ideAgLcMTSCZ7o0dH2ZqGbmk0NuRNijebPn481a9Zg3759Gtcb58KlhQvanP1uLerq6nDw4EFMnDgR/v7c3G/BHG37VmrzZVXWfCmbKdpWF7pcOil0d0fXWbOBWfqNJunS3m7OfMQMd0WMcYNdalJSUpCSksJtplaAeuiEGKlz586IjY1FamoqamtrVdI4vZZcw21XWyZuWYP9+/dDIpFg6dKl7e6ra721ta2pA7Ctti15cFFAJ4QDa9euhUQiwfbt29XS3N94g5MyrHmhmaamJqxbtw7R0dEYNWoUp3lra9v5I2o4KcOae+embFtiXyigE8KBbt26Yc+ePRCLxWppQaFh8Bo50qj8rTmYA82rus2cORObN+t2oxl9aGvb/n26YVgP45ZrtuZgDpi2bYl9oXPohHBk2rRpbaYFzH8Bbk9NQNHyt/TO19qDOdC8Wpkpr9fW1rbTR7pjTJ9KrD+k/z2yrT2YA6ZvW2I/qIdOiJl4derUHJx1vG/AwxOjbSKYW4OOvp7YOtdH56VAn+jhahPBnBB9UA+dEDNTnqmeu+glyJUmezl16oR+G96zRLXsgvI67StSy1DXeD/tIQ8BVk6xrYV6CNEHBXRCLCh0x06Tl+E/eYrJy7BG66ebvgceOdDV5GUQoisacieEEELsAAV0QgghxA5QQCeEEELsAAV0QgghxA5QQCeEEELsAAV0QgghxA5QQCeEEELsAF2HTogFnX/xRSjq69jnjn5+CH5/I6dlHDkr4TQ/ZdZ8HfbyL8pRL71/hzpfdz7enurFaRm3DnzHaX7KHtT1A4jhKKATYmY5c+I03goVAKR37iAnrvm+0u5jxiAobo4Za2b7liSXQXPLAqXVCixOLgMADO8nxnPDnM1XMULMgIbcCeGAQqFAWFgYoqKi2tyn/Nat5mDdRjBvrfr4cTa4W7tr167BwcEBO3bs4DxvXdr29t17WKwlmLd25s9aNrhbO1O2LbEvFNAJ4UBKSgpyc3PbvCtW4a5PUbxiuUF520JQ79GjB2bMmIGEhARUV1dzmnd7bbvvZDU2/Cg3KG9bCOqmbFtiXyigE2IkuVyOxMREREREYOjQoWrp186dw71Tp7TmEb5nL/tPE1sI6suWLUNpaSm2bdvGWZ7ttW1u3g1kXZdqzWPrXB/2nya2ENRN0bZckVVXo2Tf57j0xus4N+95XHjlZRR8/BHqi4uNzrumXoFvz0iQ+HUFXt9ThpVfliP5RDVuVuh/q1xlv/32GxYtWoSBAwfCz88PTk5OCAwMRHR0NE6187dqzSigE2Kkw4cPo7i4GLNmzdKYXvPhZq3Huy99XadyNAX10aNHIzAwUKfjTS0kJARhYWFISkqCQqHQuq+u9W6vbXefcdd6/Lzhuk0I1BTUbbVtzUlWWYmriQkoTUuDtKwMTFMTmmpqUJmVhStr/hc1ly8bnHdVnQKbD1XiZF4DKiQKyBWApIHBuUIpPjxUiWt/ywzOe9++fdi5cydycnJw9+5dSKVSFBUV4YcffsBjjz2GpKQkg/O2JArohBgpJSUFPB4PU6dOVUvTpWdd3U7Ab+H79CR9q2Z2sbGxKC4uRnp6Oif5aWtbXXrWu8/oNgv/yQFOetfN3Ixt22IDesw5cbO1foZLUr+AtKz5ffAd9z/ov30HAl58CeDxwEilKE7aBUau+XTI4uQyre/hgf+ToELS/OMlop8I66Z7YXaEG3g8QCYHvvi1BnKFrrMmVPH5fMTExODYsWOQSCQoKSlBTEwMm75ixQrI26i3NaNZ7oQYgWEYZGRkoE+fPvD09DQ4n+YvTR7QxrSutobirc2IESMAAMePH8fYsWONyourtl2cXAYeAzA8zeltDcVbG2PaNjMzE2PGjMGqVauwfLlhczlaa6qtRWV2NgCAJxTC/5lnwHd0hNeIESjPyIDkch6kZWWovngRHmFheuVd16jA+cLmUylCATBxkBhCBx4GdXfC6SsNuPa3DBUSBa7ckqFfF0e9675hwwa4u98f3RGLxdixYwe++eYbAEB5eTlKS0vRsWNHvfO2JOqhE2KEvLw8VFRUYODAgWppGXrPSlYP5nxnZ5sJ5gAwePBgAMDp06eNzktb2372XZZeeWkK5iIhz2aCOWBc2wYHB2PQoEFYsWIF1q9fz0l96ouKgH96sU5+HcF3vB9Ynbt2YR/XXb+ud94l5U1o6Xz7uAsgdLj/Bvp3ELCPC0sNG3ZXDuYt6ururwfh4uICb29vg/K2JOqhE2KEkpISAICfn59amkfmGaPytqVA3sLNzQ0ikYhtF2Noa9sLVd2MytuWAnkLY9rW1dUVR44cQVRUFOLj48EwDOLj442qj6yqin0scHFRSeM737/GX1ZdBX3VNNz/ceviqPprTKT0vKbesCH31hiGwZtvvsk+X7hwIYRCISd5m5NNBXSZTAaZzPCJEIaWqfz/g1D2g/iaDS2zvLwcANChQwfuKsLjITxlj4bNbYwZt5FWUFBgkUldXl5eKCu7f27U0Hqbom15ALZoCOa22rYAEBgYiKKiIr3yWblyJcLDwxEZGcluq8nLw7UNmnvvrc+j99v0Qas9mDaf8sBD/m0pPv5J8yV3rc+jvxOj+n6rhWyVvI0nlUrx/PPPs8PtY8aM4WwUw9xsJqAPi34Tu3/Mt8ivpu4uQFpamtnLbWGpsh+016w85KYr5396IvX19ZzUIWjl23Dv1Utj2urVq9W2paSkoLKyEkuWLFFLM+a8szHq6+vhotRjM7TeXLfta+PFCOqkeXU4W21bAIiJiVEL8m3Jzc1FTk4OvL290b17d6PqIvTwYB/LW/3tyJWWM3bw0H4lgiZuovuhur5RNaTXy+4/d3M2LqRXV1dj8uTJOH78OAAgOjoa+/fvh5OT9U+S1MRmAjoABAUFmb2hFXI5mL9LMHbsWLP/mJDJZEhLSzN72ZYq19Jlt/QI9eHr6wsAqKio4KQO19e+C0DzcLumhVUyMjJQWFjY5qIr5qZQKFBVVYXg4GB2m6H15rptt/1UC6BW43C7rbYtAGzatEmn40+dOoXIyEj4+PggPT0dvXv3Vkl369tX7XPX0jPX9Hl0EIvBEwjAyOVovHMHCqmUPY/eoHRawKV7EDp1clRr95aeuab3w8WJBwEfkCuAsho5ZE0Mex799r3716AH+Br+HXHz5k1ERUUhNzcXAPDyyy9j69atEAgE7RxpvWwqoAv4fAj45p/HJwcgFAotdk7FUmU/aK/ZkPKCg4PB5/ORn5/PaV1y4maj+5at8OByKN8M8vPzoVAo0L9/f6PzMlXbLk4uQ8JkITp4erS/sxUxpm2zs7Mxfvx4iEQipKenIzQ01Oj6CFxc4DF4CCozz4CRyXDr66/RcdIk1Fy4AMmVKwAARx8fuIeE6J23syMfYQGOOFsghUwO/PBHLcYPcMHlmzJcv9Mc0L1c+ejtb9h3xMWLFxEZGYmSkhLweDy89957WLZsmUF5WROa5U6IETw9PREaGors7GwwrdZorxo23Ki8byxZbBMrxCnLzMwEAERERBidl7a27e9RYFTeCQdkNrFCnDJj2rZnz56IiIjA8ePHOQnmLbpMnw5Hn+Yedumxo7iw6CUU7twBMAx4jo54+IUF4BnY45001BVers0h6pc/G7AitQJ7fqkBwzRfyjZjpBsEfMOG3Ddt2sROLmQYBv/617/A4/FU/mVkZBiUtyVRQCfESJMmTUJVVRWyslQvpRq9aBEn+efEzYa0oYGTvEwtLS0NAoEAEyZM4CS/ttp2/pQhnOS/OLkMDY3mn4BpCGPa1sPDA4cOHeJk5ESZ0NMTvVYnwOfJJ+Ho4wOeQAAHNzd4Dh6C3qvegVufPgbn7eHCx+sTPDGyrwhernwI+IDYiYewAEcsneCJHh1tbxa6qdnUkDsh1mj+/PlYs2YN9u3bp3G9cS5cWrigzdnv1qKurg4HDx7ExIkT4e/vz0me5mjbt1KbL6uy5kvZTNG2utDl0kmhuzu6zpoNzNJvNEmX9nZz5iNmuCtijBvsUpOSkoKUlBRuM7UC1EMnxEidO3dGbGwsUlNTUVtbq5LG6bXkGm672jJxyxrs378fEokES5cubXdfXeutrW1NHYBttW3Jg4sCOiEcWLt2LSQSCbZv366W5v7GG5yUYc0LzTQ1NWHdunWIjo7GqFGjOM1bW9vOH1HDSRnW3Ds3ZdsS+0IBnRAOdOvWDXv27IFYLFZLCwoNg9fIkUblb83BHGhe1W3mzJnYvFm3G83oQ1vb9u/TDcN66L+WtzJrDuaAaduW2Bc6h04IR6ZNm9ZmWsD8F+D21AQULX9L73ytPZgDzauVmfJ6bW1tO32kO8b0qcT6Q/rfI9vagzlg+rYl9oN66ISYiVenTs3BWcsyo8oenhhtE8HcGnT09cTWuT46LwX6RA9XmwjmhOiDeuiEmJnyTPXcRS9BrjTZy6lTJ/Tb8J4lqmUXlNdpX5FahrrG+2kPeQiwcoptLdRDiD4ooBNiQaE7dpq8jMiBriYvwxqtn276Hrj/5CkmL4MQXdGQOyGEEGIHKKATQgghdoACOiGEEGIHKKATQgghdoACOiGEEGIHKKATQgghdoACOiGEEGIHKKATQgghdoACOiGEEGIHKKATQgghdoACOiGEEGIHKKATQgghdoACOiGEEGIHKKATQgghdoACOiGEEGIHKKATQgghdoACOiGEEGIHHCxdAV0wDAMAaGyUmr1suUIBaV0dqqurIRQKzVq2TCZDnQXKtlS5li67pqYGwP3PGyGE2BIeYwPfXiUlJejataulq0EeEH/99Re6dOli6WoQQohebCKgKxQK3Lp1C25ubuDxeJauDrFTDMOgpqYG/v7+4PPpbBQhxLbYREAnhBBCiHbUDSGEEELsAAV0QgghxA5QQCeEEELsAAV0QgghxA5QQCeEEELsAAV0QgghxA5QQCeEEELsAAV0QgghxA5QQCeEEELsAAV0QgghxA5QQCeEEELsAAV0QgghxA5QQCeEEELsAAV0QgghxA5QQCeEEELsAAV0QgghxA5QQCeEEELsAAV0QgghxA5QQCeEEELswP8DK1o1IfW9tlkAAAAASUVORK5CYII=" ], "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>"}
[ 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, 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>"}
[ 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>"}
[ 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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" ], "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>"}
[ 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 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 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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xxRdVlrdTPt6sWbOYyspK5rfffmOTu1AoZBQKBbu98uWSHU2ePJktz6VLlxipVMr89ddfzMGDB5nU1FQT1SIxhYqKCpXPxu+//651+yVLlrDbTpgwgbl27Rpz/fp15pFHHmGXL1myhN3e0IQOgHn55ZeZmpoaZv/+/So/GJR1Fp9hjPsbeeihh5hLly4xDQ0NzLlz5/SrVOXyGbwnIcQq6ZrQGxoa2NZSeHg4wzAMU1BQwG739NNPszF79eqlNSYAZtKkSez27cv4fD5TU1PDLh82bBi77ubNm+xybQl92bJlDACGx+Mxs2fPZt58803mwIEDzK1bt7iuOmJit27dUvnMnDp1Suv2yp+7M2fOsMsLCwvZ5b1792aXG5rQ/fz82LtOMgzD+Pj4MAAYZ2dnlTjaErqhfyMAmPLy8q6qTicmmfqVawqFAjdu3IC7uzvdnYqYDMMwqK+vR0BAAOfX8FtKYmJip3PFu7q6Ys6cOdi1axeKiopw5swZfPLJJ+z6xYsXs4+V57TvTFVVldqyHj16qMyBr3wZUnNzsy4vASkpKSguLsahQ4eQlZXFzirJ5/Mxc+ZMfPLJJ2rTEBPr5OvrCw8PD/bc97lz5xAZGdnp9sqfO+UbSSmft9b02WQ6XCnR2tqqtVz9+/dn7zoJtH1Oq6ur9bpJmKF/I35+fujTp4/Ox9HGJhL6jRs3OHvBd4Pvpk5FL3c3jeuG7fkEjMY1pN1ff/2F3r17W7oYZvHMM89g165dAID09HR89tlnAID77rsPw4YNY7fz9/fH9evXwePxcP36dfTs2VMtVscvUUC3m/9oWw60XfN74MAB1NbW4uzZsygpKUFWVhZ+/PFHfPbZZ4iPj8esWbO6frHE4vh8PiZPnoxPP/0UQNtgxyeeeELjD7LW1lb2cwe0DURrv9eD8iVj/v7+7GNnZ2e0tLSojBRXKBS4evWq1nLp+jnVxtC/kc5u7mQIm0jo7u7uAICSkhL2sbnIZDIcPXoUDz30kEGzz5nr2NdeXQvF3yNHtfl9/p156Pu8uVXjB9dWXjPXampqMGDAALN/xizp3nvvxfDhw1FQUIAdO3awLZlnnnlGZbupU6fi3XffBcMwSExMxLZt29CvXz9UV1fj119/xYcffojZs2dj/vz5BpXDx8eH/ZI+ffq0yvXHu3fvBtB2f/l7770Xw4YNQ2lpKX788UcAQHl5uUHHJJaRkpKCb775BhKJBEVFRZgyZQrWrVuHwYMHQyKR4Ndff8Xbb7+NrVu3Ij4+nv3BuXLlSnz00Ufg8XhYuXIlGy8+Pp59HBQUhIsXL6KqqgonT55EVFQU3nrrLZ1u2a0LHx8fVFdXo6qqCtevX1e5f4ip/0Z0YRMJvT3peHt7w8PDw6zHlslkcHV1hY+Pj0WSW1fHvrRuHRouFxsU/6+X2+74FZm5R2W5tb9mU7On0zqZmZnIzMxUW15SUsJ2Wz7zzDMoKChgk7mbmxtmz56tsn1aWhqOHj2Kc+fOITs7G4MHD1aLaUwr+f7772fvPNfeBRsdHY3c3Fzk5eV1OjW0g4OD2mV3xLr1798f3377LRISElBVVYUDBw7gwIEDGrdNS0vDTz/9hOLiYvzwww8qCbQ9lvIkSvPnz0dycjKAts+USCSCRCKBq6srJ3efvP/++/Hdd9+hoaGB7cVrP61l6r8RXdjHicK7VGHifIOTecc4zR2u5yR3jyeeeEKlV2LWrFlqvRTe3t7Iy8vDunXrEBkZCZFIxN63Yfz48XjzzTeNui9Bamoq5syZA39/f7UfVNOmTUNCQgJCQkLg7u4OgUAAX19fxMbG4qeffrK62cRI1x566CGcP38e69atQ1RUFLy8vODo6IhevXrhoYcewrZt29C/f3/4+fkhPz8fSUlJGDx4MIRCIZydnTFo0CCsXr0a+fn58PX1ZeOuWLECSUlJCAwMhJOTEwYOHIj9+/djxIgRnJT7nXfeweTJk+Hj46O2ztR/I7qwialfxWIxPD09UVdXZ5EW+sGDBxEXF2eR1mpnxy5M5L7bxmXmLAyMi7Pa12xq1dXV8PX1tcjnjBBCjGUTXe5ElT7JXLk7nWEYnF6Q2Om2TZ/vQ/2wYRB6extVPkIIIeZHXe42Rp9k7jViuMpzHo8HOGj/DXf5lRUGlYsQQohlUUK3Iefe2a7X9tJR96stG5C8psv9LqygpE4IIbaGEroNkRYU6LV9o4YfAJf+1fltNdsN3LJFr+MQQgixPEroNuKvT/Z0vZEGF9NS2ccX1qwBuhgD2fESNkIIIbaBBsXZiKqffjJov8arV3U67+7Sty8GpnbdeieEEGKdKKETapUTQogdoC53G3DFwNZ5lxwcKJkTQoidoBa6DZAdPMh5zPCPPoagi0vYCCGE2A76RrcBreI67oLxeIjMUJ/bmxBCiG2jhG4DCoP+j5M4A4f1w/3xUZzEIoQQYl0ooduAMxwl9DPVwOfpVdi20LfrjQkhhNgUGhRnAzxcuL2d59L0KuT8eprTmIQQQiyLEroNiA6WcB7z2+LeWJZexXlcQgghlkFd7jYgOjIA353jcGDc3xi0tdafiAJGDaZueEs48+yzUDQ1ss+d/P0R9rplpt5d9Wk1mqR3ZhL08+BjzXRu77x34+v/cBpPWcDUaSaLTYgtoIRO8Fke8FkenVs3l8IFiZ1OwSu9dYud2c9j3DiEJC4waVmWpVehs8mAK8UKLP27F2fUYBGeiHIxaVkIIcahLncbMXaQ0OTHWJpehfzTF0x+nLtV9Y0bbcm6i/n024mPHNHrdrn6uFlxG0u1JPOOTv7ZwCZ3Qoh1ooRuI6aPcjPLcfYW+uK1b8VmOZY9USgUiIiIQFxcnMb1pR+8j/LVqwyKzXVS3/uzGJu/lxu0r7Un9cuXL8PBwQE7d+60dFEIMTvqcrch4QFSFN1wMvlxqsQMwO2pU7uXkZGBoqIi7N69W23d5dOnUX/8uNb9lafg1ZTACxPnczJNb9H5q8i/4qF1G+VTL5oS+FIrvvSxX79+mDNnDlJTUzF37lx4eGh/reZUd/o0agvy0VhSAlltLRQtLXDs1g2ufYPRY/JkuPTpY3BsSbMCh880oqyyFddrWiH7+/fayH7OmDPGnaNXYD+kUinWrl2L//73v/j9999RX18PAIiOjkZubq5lC2cEaqHbkKf+L8Asx9ky19Msx7EXcrkcaWlpiI6OxsiRI9XW17+1Vev+Hstf0uk4mhJ9TEwMgoKCdNofAD46qT3BPTVKtysqNCV6fctiKitWrEBlZSW2b99u6aKoqPwpGzW//ILma9cgl0jAyGSQVlSgNu8kLqS8irozZwyOXdugwLE/m1FaeSeZk841Njbi9ddfR25uLpvM7QEldBtj6pbRmimuJo1vjw4ePIjy8nLMmzdPbZ0u3eXiLhJ+O7/HpuhbNBW6dJd/dFK3UzuP3OtsVFlMaciQIYiIiMDu3buhUCgMjlNeXq7X9oWJ87W+3zyBAN5jx6L/mrWI2P0hBr32OtxCQ9tWyuW4+e8vO913aXqV1vfPxYmH6MFCzBvrhgnhNHixK46Ojnjuuefw8ccfW90PP2NQl7sN2rbQ1yTnMicNboBfN1/IZDLOY9uzjIwM8Hg8TJ8+3eAYbYmAB3QyTM2cd8Vbml4FHgMwncxnZK3d7coSEhKQnJyMnJwcjB8/Xu/98/LyMG7cOKxduxarVhk29qGjoGefg8DlTrIV9uiBgFlP4FJaKgCg+eZNg2P7uAswLartx9ivF5qMKufdQCQSseMsfvjhBwuXhjvUQrdRXH+pbpjpgfFRgZzGvBswDIPc3FwMHDgQXl5eKuty9R6YpZ7M+S4unCTzD/+Tr19JNCRzoSPPJpI5AIwePRoAcOTIEYP2DwsLw7Bhw7B69Wps2rSJkzIpJ/N2CqmUfezkTQNXiHGohW7Dti30xTuHanH5f61GxyGGOX/+PGpqahAbG6u2zjPvpFGxuWyVn63ra9T+tvYZGT58OADgxIkTBu3v5uaGQ4cOIS4uDklJSWAYBklJSVwWEQqZDDe//IJ97vuI/j0JhCijhG7jXoj1AgCs3VcNcZOuVxW3eXuBD3g8bueJv9tcu3YNAODv789d0E5ucavtvdK0rqSkxOhBajwAb2tI5pYoiz7c3d0hFArZ90dZUFAQysrK9IqXnJyMyMhI9odb/fnzuLxZc8u943n0wW+8CWc/P5Vl8qYmXN2+DQ2XLwMAut3/APz+PjVQfFOKd3/QfOlox1Ntr87oBh93gV6vhdgvm0roMpnM7Od3249nifPK+hz71elto5elUinePNiCaonmwUCrY+Xw8Wnr2mtt1dyyt5XXbKpj66O6uhoA0K1bN07KEJK8Bh4DBmhcl5KSorYsIyMDtbW1WLZsmdq6jqcA9PXiRBFCemoeYGXushjC29sbVVXqY01mzJihcbkmRUVFKCwshI+PD4KDgzkpl+z2bVx+8w00//UXAMD3oXHoPX8+/bgmRrOphH748GG4ulpmFHZ2drZFjmvIsSOc0Ol15Hl5pjsulyxx7MbGxq436sDl7/OiTU3cDES6smE9AM3d7ampqWrLcnNzUVpaqnGdsbb/0ACgQWN3u7nLYoimpiaN3xdvvPGGTvsfP34csbGx8PX1RU5ODkLbR6QDcB80SO09am+ZaztV0nTtGq68+QZkNTUAj4ee02egx+TJKtv07+mkVuftLXNbO/VBzMumEvqECRPMPlGETCZDdnY2xo8fD0dHx7vi2HfjawbutLb14fd3V2pNTQ2nZSlMnI/gt7fBk6OWvzGWplchdaojunnZzvwECoUCdXV1CAsLM2j/goICTJw4EUKhEDk5OQgPDze6TPUXLqBk29uQNzaC5+CAexY9De+/B+8ZS8EwaGxpO+Umbb1z6q1VzkDS3NZbJ3TkwUFAvQDt2ntpxOI7pzdkMhm73NXV1WINSEPZVEJ3dHQ0+5f83Xzsu+01G3K8sLAw8Pl8FBcXq62rixpl1MC4q8uWAuBmcNxQzxKjBsalfi0DYL0zxHVUXFwMhUKBoUOHGrR///79ER0djU2bNhkco6P/ff0fyP/uBWJaW1H23i6UvbdLZRtN59t1cVuiwL/+fVtt+akSKU6VtP3YnP2gG6L6m/6eELbCT0M9nzhxgl2ekpJiNb1NuqLL1ggxgpeXF8LDw1FQUACmw01XYpYs4eQYhYnzIW1uNirGomkjOCnL0vQqNLdY/zwFeX+fW4qOjjZof09PTxw4cICzZE6IOdhUC50QazRlyhSkpqYiPz9f49SvXDi3+JlOR7+b28qsOgDWfT43OzsbAoEAkyZNMtsxu+pJ6b/a8MveuqprH3eBVb8f1qjjD3B7QC10Qoy0aNEiCAQC7N27V20dpzO8afgCah+IpgtTf+HrUxZTamxsxP79+zF58mQEBJjn/geEWANK6IQYqVevXkhISEBWVhYaGhrU1nu8/DInx+Hix8Gi0dzciMKaW4P79u2DRCLB8uXLLV0UQsyKEjohHNiwYQMkEgl27Nihti4kPALeY8YYFZ+rlv7QgX0R1c+4W/BaczJvbW3Fxo0bER8fj7Fjx1q6OISYFSV0QjjQt29fZGZmQiQSaVwfuOhpBG5+zaDYXN+YZfYYD6yeZNjwGWtO5kDbzH1z587F1q263cGOEHtCg+II4cjMmTO1rvfu2RPemXtQuCBR4/nwju6ZHA+fGTO4Kp6KHn5e2LYQWJZe1cn93VQ93M8N8WOs/5KnoKAgm7vUiBCuUEInxMyUR6oXLXkOcqXz7s49e2KwgS15QyjP0746qwqNLXfWdfcUIHma5Se2IYTohhI6IRYUvnNX1xuZyabZpu9OD5g6zeTHIORuRefQCSGEEDtACZ0QQgixA5TQCSGEEDtACZ0QQgixA5TQCSGEEDtACZ0QQgixA5TQCSGEEDtA16ETYkFnnn0WiqZG9rmTvz/CXt9ikbKs+rQaTdI788b5efCxZro3p8c4dErCaTxlsfe5mSw2IbaAEjohZqZt6lfprVsoTJwPAPAYNw4hiQtMWhZtU79WihVYml4FABg1WIQnolxMWhZCiHGoy50QM6m+caMtWeswjzsAiI8cYZM7125W3MZSHedxB4CTfzawyZ0QYp0ooRPCAYVCgYiICMTFxWlcX/rB+yhfvcqg2Fwn9b0/i7H5e7lB+1p7Ur98+TIcHBywc+dOSxeFELOjLndCOJCRkYGioiLs3r1bbd3l06dRf/y41v2Vb5GqKYEXJs7n5DaqReevIv+Kh9ZtlG+RqimBL02vstrbqPbr1w9z5sxBamoq5s6dCw8P7a/VnGRiMW599y0ar15FY1kZGJkMAOD94IMIfPoZo2Kf+0uKM2UtKK9shbhJgZZWBl6ufNzj64Dx4a4I8KavemW//vorsrKycPLkSVy/fh21tbXo2bMnwsPDsXLlSjzwwAOWLqJBqIVOiJHkcjnS0tIQHR2NkSNHqq2vf0v7vbk9lr+k03E0JfqYmBgEBQXptD8AfHRSe4J7apRug9Y0JXp9y2IqK1asQGVlJbZv327poqiQ3b6NysOH0XD5MpvMufLz+SbkFbfgZq0cDS0MWuVAVb0Cp0qk2PJtLf68JuX0eLZu79692LVrFwoLC1FRUQGpVIqysjJ89913ePDBBzX+MLcFlNAJMdLBgwdRXl6OefPmqa3Tpbtc3EXCb+f32BR9i6ZCl+7yj07qNlL8kXudjSqLKQ0ZMgQRERHYvXs3FAqFwXHKy8v12r4wcb7W91vg6gq/CRMQ+Oyz8J8cr1fspelVWt8/AR+I6u+MZXGe2DLPB8nTuiHEv61VrmCAA783dLrv3YjP52PGjBk4fPgwJBIJrl27hhkzZrDrV69eDbncsNNSlkT9MIQYKSMjAzweD9OnTzc4Rlsi4AGdDFPjortdV0vTq8BjAIaneb21drcrS0hIQHJyMnJycjB+/Hi998/Ly8O4ceOwdu1arFpl2NiHjpz9/NB7zlwAQNWRI5zEbDd/rDuETnfaZ909BXhshAhbD9QBAG7V2V5yMqXNmzernI4RiUTYuXMn/v3vfwMAqqurUVlZiR49eliqiAahFjohRmAYBrm5uRg4cCC8vLxU1uXqPTBLPZnzXVw4SeYf/idfv5JoSOZCR55NJHMAGD16NADgiIGJMywsDMOGDcPq1auxadMmLotmEsrJvJ1MKYd3E9FXvTJNYysaG+/MB+Hq6gofHx9zFokT1EInxAjnz59HTU0NYmNj1dZ55p00KjaXrfKzdX2N2t9WEnm74cOHAwBOnDhh0P5ubm44dOgQ4uLikJSUBIZhkJSUxGURTapVzuC7gjvd7GMG0RwC2jAMg3/+85/s88WLF8PR0dGCJTIMJXRCjHDt2jUAgL+/P3dBeTxEZmRqWNxJH3gn60pKSowepMYD8LaGZG6JsujD3d0dQqGQfX+UBQUFoaysTK94ycnJiIyMZH+41Z8/j8ubNbfcO55HH/zGm3D289P5WMU3pXj3B7HGdR3Po786oxt83AUqy5qlCnx0pB6lla0AgBEhzhg7SKjz8e82UqkUTz75JNvdPm7cOJvoldHEphK6TCaDjOPRobocU/l/cx/7amNvHDolAV8g6HoHjijkclxt7G2x16z8vyWOrY/q6moAQLdu3TgpQ0jyGngMGKBxXUpKitqyjIwM1NbWYtmyZWrrOp4C0NeLE0UI6am5ZWfushjC29sbVVXqA8lmzJihcbkmRUVFKCwshI+PD4KDg7kuIufqGuV477AYN2639bc/ECrEjNEirT/A7mZisRhTp05lT83Ex8dj3759cHa23kGf2vAYRsdpqyxILBbD09MTWVlZcHV1tXRxzOpqY2+LHTvYVb11Y88aGxsxe/Zs1NXV6Xz98v79+zF16lQkJSVhw4YNKuuMmRBG1+72mJgYlJaWorS0VOt2xkwIo2t3uy5lMedc7t7e3nB2dsbNmzcNinf8+HHExsbC2dkZOTk5CA8P17p9+/uty3tXdeQI/srMaCunDteht79/2t6Lm7db8V62GLUNCvAAPDrMFePD767vS31cv34dcXFxKCoqAgD84x//wLZt2yAwY+OJazbVQp8wYYLZJ4qQyWTIzs7G+PHjzX5ORSaT4f1vziMkONjsLfQrV69a7DVbqr7bW9v68Pu7K7WmpobTshQmzkfw29vgyVHL3xhL06uQOtUR3bw8LV0UnSkUCtTV1SEsLMyg/QsKCjBx4kQIhUKdkrkuGIUC8oa289rylpY7ZZW1orW+HgDAFwrBN+Bzf/l/MnyYI0aTlIGAD8wZ445hwbbZyjSHP/74A7Gxsbh27Rp4PB5ee+01rFixwtLFMppNJXRHR0eLDVSw5LH5AgEEfPOPUr3b6tuQ44WFhYHP56O4uFhtXV3UKKMGxl1dthQAN4PjhnqWGDUwLvVrGQDrnSGuo+LiYigUCgwdOtSg/fv374/o6Ghs2rTJ4BgdSaur8ec/X1ZbXpt3ErV/f07uWfQ0fMaM0Tv2ocIG9k55cgWw51g99hyrV9lG0/n2u9Ubb7zBjq9gGAavvPIKXnnlFZVtjh49ipiYGAuUznB0LQMhRvDy8kJ4eDgKCgrQ8exVzJIlnByjMHE+pM3NRsVYNG0EJ2VZml6F5hbzj2/QV15eHgAgOjraoP09PT1x4MABzpI5IeZgUy10QqzRlClTkJqaivz8fI1Tv3Lh3OJnOh39bm4rs9omK7Hm1np2djYEAgEmTZpktmN21ZPi7OdncG9LV3X9QqyXQXHvVhkZGcjIyLB0MThHLXRCjLRo0SIIBALs3btXbR2nM7xpGL+am5vb5YC4dqZOwPqUxZQaGxuxf/9+TJ48GQEBAZYuDiFmQwmdECP16tULCQkJyMrKQkOD+pzZHi+rnzc1BBc/DhaNru96Ix1Yc+t83759kEgkWL58uaWLQohZUUInhAMbNmyARCLBjh071NaFhEfA24CBTsq4aukPHdgXUf2cjIphzcm8tbUVGzduRHx8PMaOHWvp4hBiVpTQCeFA3759kZmZCZFIpHF94KKnEbj5NYNic31jltljPLB6kmHDZ6w5mQNtM/fNnTsXW7fqdgc7QuwJDYojhCMzZ87Uut67Z094Z+5B4YJEjefDO7pncjx8lG7pyKUefl7YthBYll7Vyf3dVD3czw3xY6x/+tCgoCCkpqZauhiEWAQldELMTHmketGS59jJRgDAuWdPDDawJW8I5XnaV2dVofHOfCfo7ilA8jTLT2xDCNENJXRCLCh85y5LF4G1abbpu9M7Ts9KCOEOnUMnhBBC7AAldEIIIcQOUEInhBBC7AAldEIIIcQOUEInhBBC7AAldEIIIcQOUEInhBBC7ABdh06IBZ159lkomhrZ507+/gh7fQunx7jx9X84jacsYOo0k8U21qpPq9EkvTMPnp8HH2ume3N6jEOnJJzGU0bX7BN9UUInxMy0Tf0qvXULhYnzAQAe48YhJHGBGUtm+7RNZVspVmBpehUAYNRgEZ6IcjFfwQgxA+pyJ4QDCoUCERERiIuL63Sb6hs32pK1DvO4A4D4yBE2uVu7y5cvw8HBATt37uQ8ti51e7PiNpbqOC89AJz8s4FN7tbOlHVL7AsldEI4kJGRgaKiok5vDFL6wfsoX73KoNi2kNT79euHOXPmIDU1FWKxmNPYXdXt3p/F2Py93KDYtpDUTVm3xL5QQifESHK5HGlpaYiOjsbIkSPV1l8+fRq3jx/XGiMycw/7TxNbSOorVqxAZWUltm/fzlnMruq26PxV5F+Rao2xbaEv+08TW0jqpqhbrsjEYlzb+wnOvfwSTj/1JM4+/w+UvPsOmsrLjY5d36TAVyclSPuyBi9lViH5s2qkHxXjek2r0bElEgnWrFmD0NBQCIVCeHt7Iy4uDr/88ovRsS2FEjohRjp48CDKy8sxb948jevr39J+b26P5S/pdBxNST0mJgZBQUE67W9qQ4YMQUREBHbv3g2FQqF1W13L3VXdfnTSQ+v+T43SbdCapqRuq3VrTrLaWlxKS0VldjakVVVgWlvRWl+P2vx8XFz3L9RfuGBw7LpGBbYeqMXP55tRI1FArgAkzQxOl0rx1oFaXP6fzODYDQ0NGDt2LDZs2IBLly6hpaUFt2/fxqFDhxATE4N9+/YZHNuSKKETYqSMjAzweDxMnz5dbZ0uLWtxFwm/nd9jU/QtmtklJCSgvLwcOTk5nMTTVre6tKw/OqnbSPFH7nXWu2zmZmzdlhvQYi5MnK/1M3wt61NIq9reB78J/4ehO3Yi8NnnAB4PjFSK8t0fgJFrPh2yNL1K63v49X8lqJG0/XiJHizExtnemB/tDh4PkMmBT3+ph1yh66gJVevWrUNhYSGAtnqtqKjATz/9BFdXVygUCixevBg1NTUGxbYkSuiEGIFhGOTm5mLgwIHw8vIyOE7bF2dip1+ekZl70Hua9V4i1m706NEAgCNHjhgdi6u6XZpehWUfd548ti30xeRId4Pjm4sxdZuXl4dBgwZh8+bNnJWntaEBtQUFAACeoyMCHn8cDm5u8B49Gm6hAwEA0qoqiP/4Q+/YjS0KnCltO5XiKAAmDxNB5MzHsGBnhPg7AgBqJApcvKF/K51hGHz88cfs89dffx1+fn54+OGHkZCQAAAQi8X4/PPP9Y5taZTQCTHC+fPnUVNTg/vuu09tXa7eo5LVWxt8F5dOz6tbo+HDhwMATpw4YXQsbXX74X/y9YrF8NSXCR15nZ5Xt0bG1G1YWBiGDRuG1atXY9OmTZyUp6msDPi79e3s3wN8Jyd2nUuf3uzjxitX9I59rboV7Y1vXw8BHB3uvIEB3QTs49JK/RN6SUkJKisrAQDu7u4IDAxk1w0dOpR9fPLkSb1jWxpdh06IEa5duwYA8Pf3V1vnmWfcF4ItJfJ27u7uEAqFbL0YQ1vdnq3ra1RsW0rk7YypWzc3Nxw6dAhxcXFISkoCwzBISkoyqjyyujr2scDVVWUd3+XONf4ycR30Vd9858etq5PqrzGh0vP6Jv273G/dusU+7tjz4+npqXE7W2FTCV0mk0EmM3wghKHHVP7fEsdWdHIOylTaj2fJ12zJY+ujuroaANCtWzfuCsLjITIjU8NiDc1MLetKSkosMqjL29sbVVV3urcNLbcp6pYH4G0NydxW6xYAgoKCUFZWplec5ORkREZGIjY2ll1Wf/48Lm/W3HrveCpo8BtvdtiC6fQpDzwU35Ti3R80X3LX8VTIqzNU32+1lK0S2zhMhzkhlJ9r+0xYK5tK6IcPH4Zrh1+C5pKdnW2R4wa7Asz/rsG8Kb3tuNnZxreyDGWJ+m5sbOx6ow5c/m6JNDU1cVKGkOQ18BgwQOO6lJQUtWUZGRmora3FsmXL1NYZc97ZGE1NTSp/p4aWm+u6fXGiCCE9Nc8OZ6t1CwAzZsxQS/KdKSoqQmFhIXx8fBAcHGxUWRyVWrPyDn87cqXpjB08tV+JoIm78E4ybWpRTbpNsjvP3V30T7rKPT61tbUq6+qUeh009QxZO5tK6BMmTICHh/4fDmPIZDJkZ2dj/PjxcHR0vCuOfTe+ZuBOa1sffn5+AMDZiNgrG9YD0NzdrmlildzcXJSWlnY66Yq5KRQK1NXVISwsjF1maLm5rtvtPzQAaNDY3W6rdQsAb7zxhk77Hz9+HLGxsfD19UVOTg5CQ0NV1rsPGqT2uWtvmWv6PDqIROAJBGDkcrTcugWFVMqeR29WOi3gGhyCnj2d1Oq9vWWu6f1wdeZBwAfkCqCqXg5ZK8OeR795+8416IF++n9HBAcHo3v37qioqIBEIkFZWRl7Hv3s2bPsdlFRUXrHtjSbSuiOjo5m/5K/m499t71mQ44XFhYGPp+P4uJiTstSmDgfwW9vgyeXXflmUFxcDIVCoTK4yFCmqtul6VVIneqIbl6eXW9sRYyp24KCAkycOBFCoRA5OTkIDw83ujwCV1d4Dh+B2ryTYGQy3PjyS/SYMgX1Z89CcvEiAMDJ1xceQ4boHdvFiY+IQCecKpFCJge++70BE+91xYXrMly51ZbQvd34CA0w7DviySefZEf8v/LKK9ixYwfOnDmDL7/8EgDg4eGBmTNnGhTbkmiUOyFG8PLyQnh4OAoKCtTOx9VFjTIq9tVlS21ihjhleXl5AIDo6GijY2mr26GeJUbFTv1aZhMzxCkzpm779++P6OhoHDlyhJNk3q737Nlw8m1rYVce/hFnlzyH0l07AYYBz8kJ9zz9DHgCQRdRNJsy0g3ebm0p6tifzVidVYPMY/VgmLZL2eaMcYeAb9h57jVr1iAyMhIA8MUXX8DPzw+PPPIIGhsbwefz8f7778Pbm9s785kDJXRCjDRlyhTU1dUhP1/1UqqYJUs4iV+YOB/S5mZOYpladnY2BAIBJk2axEm8zup20bQRnMRfml6F5hbzD8A0hDF16+npiQMHDnDSc6LM0csLA1JS4fvII3Dy9QVPIICDuzu8ho9A6NpX4T5woMGxPV35eGmSF8YMEsLbjQ8BHxA58xAR6ITlk7zQr4fhPXgikQjHjh1DcnIy+vfvDycnJ3h5eWHixIk4evQoZs2aZXBsS7KpLndCrNGiRYuwbt067N27V+N841w4t/iZTke/W4vGxkbs378fkydPRkBAACcxzVG3K7PaBkJZ86VspqhbXehy6aSjhwf6zJsPzNOvN0mX+nZ34WPGKDfMMK6zS3Nsd3esX78e69ev5z64hVALnRAj9erVCwkJCcjKykJDQ4PKOk6vJddw29X2gVvWYN++fZBIJFi+fHmX2+pabm11a+oEbKt1S+5elNAJ4cCGDRsgkUiwY8cOtXUeL7/MyTGseaKZ1tZWbNy4EfHx8Rg7diynsbXV7aLR9Zwcw5pb56asW2JfKKETwoG+ffsiMzMTIpFIbV1IeAS8x4wxKr41J3OgbVa3uXPnYutW3W40ow9tdTt0YF9E9XPSsJfurDmZA6atW2Jf6Bw6IRzRdplL4KKn4f7oJJStWql3XGtP5kDbbGWmvF5bW93OHuOBcQNrsemA/vfItvZkDpi+bon9oBY6IWbi3bNnW3LWcUrJeybH20QytwY9/LywbaGvzlOBPtzPzSaSOSH6oBY6IWamPFK9aMlzkCsN9nLu2RODN79miWLZBeV52ldnVaGx5c667p4CJE+zrYl6CNEHJXRCLCh85y6THyNgqvXfR90UNs02fQs89j43kx+DEF1RlzshhBBiByihE0IIIXaAEjohhBBiByihE0IIIXaAEjohhBBiByihE0IIIXaAEjohhBBiB+g6dEIs6Myzz0LR1Mg+d/L3R9jrWzg9xqFTEk7jKbPm67BXfVqNJumdO9T5efCxZro3p8e48fV/OI2n7G6dP4AYjhI6IWZWuCBR461QAUB66xYKE9vuK+0xbhxCEheYsWS2b1l6FTTXLFApVmBpehUAYNRgEZ6IcjFfwQgxA+pyJ4QDCoUCERERiIuL63Sb6hs32pJ1J8m8I/GRI2xyt3aXL1+Gg4MDdu7cyXlsXer2ZsVtLNWSzDs6+WcDm9ytnSnrltgXSuiEcCAjIwNFRUWd3hWr9IP3Ub56lUGxbSGp9+vXD3PmzEFqairEYjGnsbuq270/i7H5e7lBsW0hqZuybol9oYROiJHkcjnS0tIQHR2NkSNHqq2/fPo0bh8/rjVGZOYe9p8mtpDUV6xYgcrKSmzfvp2zmF3VbdH5q8i/ItUaY9tCX/afJraQ1E1Rt1yRicW4tvcTnHv5JZx+6kmcff4fKHn3HTSVlxsdu75Jga9OSpD2ZQ1eyqxC8mfVSD8qxvUa/W+V25FEIsGaNWsQGhoKoVAIb29vxMXF4ZdffjE6tqVQQifESAcPHkR5eTnmzZuncX39W1u17u+x/CWdjqMpqcfExCAoKEin/U1tyJAhiIiIwO7du6FQKLRuq2u5u6rbj056aN3/qVG6DQjUlNRttW7NSVZbi0tpqajMzoa0qgpMayta6+tRm5+Pi+v+hfoLFwyOXdeowNYDtfj5fDNqJArIFYCkmcHpUineOlCLy/+TGRy7oaEBY8eOxYYNG3Dp0iW0tLTg9u3bOHToEGJiYrBv3z6DY1sSJXRCjJSRkQEej4fp06errdOlZS3uIuG383tsir5FM7uEhASUl5cjJyeHk3ja6laXlvVHJ3Ubhf/Ivc56l83cjK3bcgNazIWJ87V+hq9lfQppVdv74Dfh/zB0x04EPvscwOOBkUpRvvsDMHLNp0OWpldpfQ+//q8ENZK2Hy/Rg4XYONsb86PdweMBMjnw6S/1kCt0HTWhat26dSgsLATQVq8VFRX46aef4OrqCoVCgcWLF6Ompsag2JZECZ0QIzAMg9zcXAwcOBBeXl4Gx2n74kzs9MszMnMPek+z/suYRo8eDQA4cuSI0bG4qtul6VVY9nHnyWPbQl9MjnQ3OL65GFO3eXl5GDRoEDZv3sxZeVobGlBbUAAA4Dk6IuDxx+Hg5gbv0aPhFjoQACCtqoL4jz/0jt3YosCZ0rZTKY4CYPIwEUTOfAwLdkaIvyMAoEaiwMUb+rfSGYbBxx9/zD5//fXX4efnh4cffhgJCQkAALFYjM8//1zv2JZGCZ0QI5w/fx41NTW477771Nbl6j0qWb21wXdx6fS8ujUaPnw4AODEiRNGx9JWtx/+J1+vWAxPfZnQkdfpeXVrZEzdhoWFYdiwYVi9ejU2bdrESXmaysqAv1vfzv49wHdyYte59OnNPm68ckXv2NeqW9He+Pb1EMDR4c4bGNBNwD4urdQ/oZeUlKCyshIA4O7ujsDAQHbd0KFD2ccnT57UO7al0XXohBjh2rVrAAB/f3+1dZ55xn0h2FIib+fu7g6hUMjWizG01e3Zur5GxbalRN7OmLp1c3PDoUOHEBcXh6SkJDAMg6SkJKPKI6urYx8LXF1V1vFd7lzjLxPXQV/1zXd+3Lo6qf4aEyo9r2/Sv8v91q1b7OOOPT+enp4at7MVNpXQZTIZZDLDB0IYekzl/++GY9+Nr9nQY1ZXVwMAunXrxl1BeDxEZmRqWKyhmallXUlJiUUGdXl7e6Oq6k73tqHlNkXd8gC8rSGZ22rdAkBQUBDKysr0ipOcnIzIyEjExsayy+rPn8flzZpb7x1PBQ1+480OWzCdPuWBh+KbUrz7g+ZL7jqeCnl1hur7rZayVWIbh+kwJ4Tyc22fCWtlUwn98OHDcO3wS9BcsrOzLXJcSx7bUsf1+PMc8v48Z/bjGpLQXf5uiTQ1NXFShpDkNfAYMEDjupSUFLVlGRkZqK2txbJly9TWGXPe2RhNTU0qf6eGlpvrun1xogghPTXPDmerdQsAM2bMUEvynSkqKkJhYSF8fHwQHBxsVFkclVqz8sZGlXVypemMHTy1X4mgibvwTjJtalFNuk2yO8/dXfRPuso9PrW1tSrr6pR6HTT1DFk7m0roEyZMgIeH/h8OY8hkMmRnZ2P8+PFwdHS8K45t6dec9+c5BIeEQMA37xCPRgMSh5+fHwBwNiL2yob1ADR3t2uaWCU3NxelpaWdTrpibgqFAnV1dQgLC2OXGVpurut2+w8NABo0drfbat0CwBtvvKHT/sePH0dsbCx8fX2Rk5OD0NBQlfXugwapfe7aW+aaPo8OIhF4AgEYuRwtt25BIZWy59GblU4LuAaHoGdPJ7V6b2+Za3o/XJ15EPABuQKoqpdD1sqw59Fv3r5zDXqgn/7fT8HBwejevTsqKiogkUhQVlbGnkc/e/Ysu11UVJTesS3NphK6o6Oj2RPM3XxsS75mAZ8PvkDQ9YYcH1NfYWFh4PP5KC4u5rQshYnzEfz2Nnhy2ZVvBsXFxVAoFCqDiwxlqrpdml6F1KmO6Obl2fXGVsSYui0oKMDEiRMhFAqRk5OD8PBwo8sjcHWF5/ARqM07CUYmw40vv0SPKVNQf/YsJBcvAgCcfH3hMWSI3rFdnPiICHTCqRIpZHLgu98bMPFeV1y4LsOVW20J3duNj9AAw76fnnzySXbE/yuvvIIdO3bgzJkz+PLLLwEAHh4emDlzpkGxLYlGuRNiBC8vL4SHh6OgoEDtfFxd1CijYl9dttQmZohTlpeXBwCIjo42Opa2uh3qWWJU7NSvZTYxQ5wyY+q2f//+iI6OxpEjRzhJ5u16z54NJ9+2Fnbl4R9xdslzKN21E2AY8JyccM/Tz4Bn4A/zKSPd4O3WlqKO/dmM1Vk1yDxWD4Zpu5Rtzhh3CPiGnedes2YNIiMjAQBffPEF/Pz88Mgjj6CxsRF8Ph/vv/8+vL25vTOfOVBCJ8RIU6ZMQV1dHfLzVS+lilmyhJP4hYnzIW1u5iSWqWVnZ0MgEGDSpEmcxOusbhdNG8FJ/KXpVWhuMf8ATEMYU7eenp44cOAAJz0nyhy9vDAgJRW+jzwCJ19f8AQCOLi7w2v4CISufRXuAwcaHNvTlY+XJnlhzCAhvN34EPABkTMPEYFOWD7JC/16GN57KBKJcOzYMSQnJ6N///5wcnKCl5cXJk6ciKNHj2LWrFkGx7Ykm+pyJ8QaLVq0COvWrcPevXs1zjfOhXOLn+l09Lu1aGxsxP79+zF58mQEBARwEtMcdbsyq20glDVfymaKutWFLpdOOnp4oM+8+cA8/XqTdKlvdxc+ZoxywwzjOrs0x3Z3x/r167F+/Xrug1sItdAJMVKvXr2QkJCArKwsNDQ0qKzj9FpyDbddbR+4ZQ327dsHiUSC5cuXd7mtruXWVremTsC2Wrfk7kUJnRAObNiwARKJBDt27FBb5/Hyy5wcw5onmmltbcXGjRsRHx+PsWPHchpbW90uGl3PyTGsuXVuyrol9oUSOiEc6Nu3LzIzMyESidTWhYRHwHvMGKPiW3MyB9pmdZs7dy62btXtRjP60Fa3Qwf2RVQ/Jw176c6akzlg2rol9oXOoRPCEW2XuQQuehruj05C2aqVese19mQOtM1WZsrrtbXV7ewxHhg3sBabDuh/j2xrT+aA6euW2A9qoRNiJt49e7YlZx2nlLxncrxNJHNr0MPPC9sW+uo8FejD/dxsIpkTog9qoRNiZsoj1YuWPAe50mAv5549MXjza5Yoll1Qnqd9dVYVGlvurOvuKUDyNNuaqIcQfVBCJ8SCwnfuMvkxYu9zM/kxrNGm2aZvgQdMtf571JO7B3W5E0IIIXaAEjohhBBiByihE0IIIXaAEjohhBBiByihE0IIIXaAEjohhBBiByihE0IIIXaAEjohhBBiByihE0IIIXaAEjohhBBiByihE0IIIXaAEjohhBBiByihE0IIIXaAEjohhBBiByihE0IIIXaAEjohhBBiByihE0IIIXbAwdIF0AXDMAAAsVhs9mPLZDI0NjZCLBbD0dHxrji2pV+zTCZDS0sL+AKBWY/dIpUCuPN5I4QQW2ITCb2+vh4A0KdPHwuXhNwN6uvr4enpaeliEEKIXniMDTRHFAoFbty4AXd3d/B4PEsXh9gphmFQX1+PgIAA8Pl0NooQYltsIqETQgghRDtqhhBCCCF2gBI6IYQQYgcooRNCCCF2gBI6IYQQYgcooRNCCCF2gBI6IYQQYgcooRNCCCF2gBI6IYQQYgcooRNCCCF2gBI6IYQQYgcooRNCCCF2gBI6IYQQYgcooRNCCCF2gBI6IYQQYgcooRNCCCF2gBI6IYQQYgcooRNCCCF2gBI6IYQQYgcooRNCCCF24P8B/cEnafTPB0oAAAAASUVORK5CYII=" ], "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, 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>"}
[ 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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rryotb6NY3qxZs5iysjLmt99+Y5O7SCRi5HI5u73i5ZLtTZ48ma3PlStXmObmZubGjRvM4cOHmaSkJCO1IjGGe/fuKX02fv/9d43bL126lN12woQJzM2bN5lbt24xTz75JLt86dKl7Pb6JnQAzOuvv85UVlYyBw8eVPrBoKij+Axj2P+Rxx9/nLly5QpTV1fHXLx4UbdGVayf3nsSQiyStgm9rq6O7S2FhoYyDMMwubm57HYvvPACG7NXr14aYwJgJk2axG7ftozP5zOVlZXs8oiICHbdnTt32OWaEvry5csZAAyPx2Nmz57NvPfee8yhQ4eYu3fvct10xMju3r2r9Jk5e/asxu0VP3fnz59nl+fl5bHLe/fuzS7XN6F7e3uzd51kGIbx9PRkADAODg5KcTQldH3/jwBgSktLO2s6rRhl6leuyeVy3L59Gy4uLnR3KmI0DMOgtrYWvr6+nF/Dby7x8fEdzhXv5OSEOXPmYPfu3cjPz8f58+fx2WefseuXLFnCPlac074j5eXlKst69OihNAe+4mVIjY2N2rwEJCYmorCwEEeOHEF6ejo7qySfz8fMmTPx2WefqUxDTCyTl5cXXF1d2XPfFy9eRHh4eIfbK37uFG8kpXjeWt1nk2l3pURLS4vGegUGBrJ3nQRaP6cVFRU63SRM3/8j3t7e6NOnj9blaGIVCf327ducvWBrMzL2b2YrO/v7d81WtjnduHEDvXv3Nnc1TGLx4sXYvXs3ACAlJQVffPEFAODhhx9GREQEu52Pjw9u3boFHo+HW7duoWfPniqx2n+JAtrd/EfTcqD1mt9Dhw6hqqoKFy5cQFFREdLT0/Hzzz/jiy++QGxsLGbNmtX5iyVmx+fzMXnyZHz++ecAWgc7Pvvss2p/kLW0tLCfO6B1IFrbvR4ULxnz8fFhHzs4OKCpqUlppLhcLsf169c11kvbz6km+v4f6ejmTvqwioTu4uICACgqKmIfm4pUKsXx48fx+OOP6zX7nKFl7/ulGH39+4IvMF2PUS6To6i4CAc/et0sr9lc7V1ZWYkBAwaY/DNmTkOHDsWwYcOQm5uLnTt3sj2ZxYsXK203depU7NixAwzDID4+Htu2bUP//v1RUVGBf//73/jkk08we/ZszJ8/X696eHp6sl/S586dU7r+eM+ePQBa7y8/dOhQREREoLi4GD///DMAoLS0VK8yiXkkJibiu+++g0QiQX5+PqZMmYK1a9di8ODBkEgk+Pe//42tW7diy5YtiI2NZX9wvvHGG9i7dy94PB7eeOMNNl5sbCz72N/fH5cvX0Z5eTnOnDmDkSNH4v3339fqlt3a8PT0REVFBcrLy3Hr1i2l+4cY+/+INqwiobf9WvLw8ICrq6tJy5ZKpXBycoKnp6dZkptQeAuOTo4QmPAQsEwuh1AoNNtrNld7t7Gl0zppaWlIS0tTWV5UVMQetly8eDFyc3PZZO7s7IzZs2crbZ+cnIzjx4/j4sWLyMjIwODBg1ViGtJLfuSRR9g7z7Udgo2MjERWVhays7M7nBrazs5O5bI7YtkCAwPx/fffIy4uDuXl5Th06BAOHTqkdtvk5GQcPXoUhYWF+Omnn5QSaFssxUmU5s+fj9WrVwNo/UyJxWJIJBI4OTlxcvfJRx55BD/88APq6urYo3htp7WM/X9EG7ZxopAQordnn31W6ajErFmzVI5SeHh4IDs7G2vXrkV4eDjEYjF734bx48fjvffeM+i+BElJSZgzZw58fHxUflBNmzYNcXFxCAgIgIuLCwQCAby8vBAdHY2jR49a3GxipHOPP/44CgoKsHbtWowcORLu7u4QCoXo1asXHn/8cWzbtg2BgYHw9vZGTk4OEhISMHjwYIhEIjg4OGDQoEFYtWoVcnJy4OXlxcZduXIlEhIS4OfnB3t7ewwcOBAHDx7E8OHDOan3Bx98gMmTJ8PT01NlnbH/j2jDKqZ+rampgZubG6qrq83SQz98+DBiYmLM0lvd8c98BAYGmryHXlhYiJdnhJrlNZurvSsqKuDl5WWWzxkhhBiKeuiEEEKIDaCETgghhNgASuiEEEKIDaCETgghhNgASuiEEEKIDaCETgghhNgASuiEEEKIDaCETgghhNgASuiEEEKIDaCETgghhNgASuiEEEKIDaCETgghhNgASuiEEEKIDaCETgghhNgAO3NXgJCu7PyLL0LeUM8+t/fxQfA7m81Slzc/r0BD84O7KXu78rFmugenZdz+9l+cxlPkO3Wa0WITYg0ooRNiYnkL4gGGUbuu+e5d5MXPBwC4jhuHgPgFRq3L8pRyqK8JUFYjx7KUcgDAqMFiPDvS0ah1IYQYhg65E2IiFbdvtybrDpJ5ezXHjrHJnWt37t3HMg3JvL0zf9axyZ0QYpkooRPCAblcjrCwMMTExKhdX/zxRyhd9aZesblO6vtP1mDTjzK99rX0pH716lXY2dlh165d5q4KISZHh9wJ4UBqairy8/OxZ88elXVXz51D7alTGvcPT9vHPlaXwPPi5ytto6/8guvIueaqcZttC73Yx+oS+LKUcqVtLEn//v0xZ84cJCUlYe7cuXB11fxaTan63DlU5eagvqgI0qoqyJuaIOzWDU59+6HH5Mlw7NNH79iSRjl+OV+PkrIW3KpsgfSv32sj+jtgzhgXjl6BbfD390dJSYnGbY4fP46oqCjTVIhD1EMnxEAymQzJycmIjIzEiBEjVNbXvr9F4/6uK17Tqhx1iT4qKgr+/v5a7Q8Ae89oTnDPj5JoFUddote1LsaycuVKlJWVYfv27eauipKyoxmo/PVXNN68CZlEAkYqRfO9e6jKPoNLiW+j+vx5vWNX1clx4s9GFJc9SOZEfy4u1vkjiBI6IQY6fPgwSktLMW/ePJV12hwur+kk4bfxfnqKrlVTos3h8r1nnLWK9eRQB4PqYkwhISEICwvDnj17IJfL9Y5TWlqq0/Z58fM1vt88gQAeY8cicM1bCNvzCQb94x04BwW1rpTJcOefX3e477KUco3vn6M9D5GDRZg31hkTQmnwoibFxcVgGEbp7+eff2bXDx06FBEREWasof7okDshBkpNTQWPx8P06dP1jtGaCHhAB8PUuDjcrq1lKeXgMQDDU7/eUg+3K4qLi8Pq1auRmZmJ8ePH67x/dnY2xo0bh7feegtvvqnf2If2/F98CQLHB8lW1KMHfGc9iyvJSQCAxjt39I7t6SLAtJGtP8b+fanBoHp2RVu2PPhR/frrr5uxJoahHjohBmAYBllZWRg4cCDc3d2V1mXpPDBLNZnzHR05Seaf/CtHt5qoSeYiIc8qkjkAjB49GgBw7NgxvfYPDg5GREQEVq1ahY0bN3JSJ8Vk3kbe3Mw+tvfg9pp/op2LFy/il19+AQD07t0bM2fONHON9Ec9dEIMUFBQgMrKSkRHR6usc8s+Y1BsLnvlF6r7GrS/tSTyNsOGDQMAnD59Wq/9nZ2dceTIEcTExCAhIQEMwyAhIYHLKkIuleLO11+xz72e1P1IAjHcli1bwPx1Kemrr74KoVBo5hrpjxI6IQa4efMmAMDHx4e7oDwewlPT1Czu4Bh4B+uKiooMHqTGA7BVTTI3R1104eLiApFIxL4/irQZ5dze6tWrER4ezv5wqy0owNVN6nvu7c+jD373PTh4eystkzU04Pr2bai7ehUA0O2RR+H916mBwjvN2PFTjdrY7c+jvz2jGzxdBDq9FvLAvXv38PnnnwNo/cwsXrzYzDUyjFUldKlUCqlUavIyFf81R9lymWmHrbaVZ87XbM6ydVFRUQEA6NatGyd1CFi9Bq4DBqhdl5iYqLIsNTUVVVVVWL58ucq69qcAdPXqRDECeqofYGXquujDw8MD5eWqA8lmzJihdrk6+fn5yMvLg6enJ/r168dJvaT37+Pqe++i8cYNAIDX4+PQe/58jT+SiHHs2LEDTU1NAIBFixbBzc3NzDUyDI9htJy2yoxqamrg5uaG9PR0ODk5mbs6xEbV19dj9uzZqK6u1vr65YMHD2Lq1KlISEjA+vXrldYZMiGMtofbo6KiUFxcjOLiYo3bGTIhjLaH27Wpiynncvfw8ICDgwPu6DnY7NSpU4iOjoaDgwMyMzMRGhqqcfu291vTe9dw8yauvfcupJWVAI+HntNnoMfkyZ3Wpe390+a9+PelBnz9Wx0Aug5dk8bGRjz00EMoKyuDQCDAtWvX4OfnZ+5qGcSqeugTJkww+UQRUqkUGRkZGD9+vMnPrZir7K74moEHvW1deP91KLWyspLTuuTFz0e/rdvgxlHP3xDLUsqRNFWIbu7W03uRy+Worq5GcHCwXvvn5uZi4sSJEIlEWiVzbdReuoSibVshq68Hz84ODy16AR5/Dd4zlJxhUN/U2jdrbnnQR2uRMZA0tl66JxLyYCegowBt9u3bh7KyMgCtR22sPZkDVpbQhUKh2QYsdMWyu9pr1qe84OBg8Pl8FBYWqqyrHjnKoIFx15cvA8DN4LghbkUGDYxL+lYKwHJniGuvsLAQcrkcQ4YM0Wv/wMBAREZGYuPGjXrHaO+/3/4LsvrWO+sxLS0o+XA3Sj7crbSNuvPt2rgvkeP//nlfZfnZomacLWr9sTn7MWeMDBTpUXPbwzAM3n//ffb53/72NzPWhjt02RohBnB3d0doaChyc3PR/uxV1NKlnJSRFz8fzY2NBsVYNG04J3VZllKOxibTj2/QVXZ2NgAgMjJSr/3d3Nxw6NAhzpI5sSyHDx/GpUuXAABjx45lr4qwdlbVQyfEEk2ZMgVJSUnIyclRO/UrFy4uWdzh6HdTeyO9GoBlX8qWkZEBgUCASZMmmazMzo6kBK7S/7K3ztra00Vg0e+HpXnqqadUfoDbAuqhE2KgRYsWQSAQYP/+/SrrOJ3hTc0XUFZWVqcD4toY+wtfl7oYU319PQ4ePIjJkyfD19fX3NUhxGQooRNioF69eiEuLg7p6emoq6tTWe/K0VSSXPw4WDS6loOaWHbv/MCBA5BIJFixYoW5q0KISVFCJ4QD69evh0Qiwc6dO1XWBYSGwWPMGIPic9XTHzKwL0b2tzcohiUn85aWFmzYsAGxsbEYO3asuatDiElRQieEA3379kVaWhrEYrHa9X6LXoDfpn/oFZvrG7PMHuOKVZP0Gz5jyckcaJ25b+7cuUo32yCkq6BBcYRwpLObOnj07AmPtH3IWxCv9nx4ew9NjoXnjBlcVU9JD293bFsILE8p7+D+bsqe6O+M2DGWf8mTv78/kpKSzF0NQsyCEjohJqY4Uj1/6UuQKZx3d+jZE4P17MnrQ3Ge9lXp5ahverCuu5sAq6eZf2IbQoh2KKETYkahu3Z3vpGJbJxt/MPp7adnJYRwh86hE0IIITaAEjohhBBiAyihE0IIITaAEjohhBBiAyihE0IIITaAEjohhBBiAyihE0IIITaArkMnxIzOv/gi5A317HN7Hx8Ev7PZLHV58/MKNDQ/mDfO25WPNdM9OC3jyFkJp/EURT/sbLTYhFgDSuiEmJimqV+b795FXvx8AIDruHEIiF9g1Lpomvq1rEaOZSnlAIBRg8V4dqSjUetCCDEMHXInxEQqbt9uTdZazOMOADXHjrHJnWt37t3HMi3ncQeAM3/WscmdEGKZKKETwgG5XI6wsDDExMSoXV/88UcoXfWmXrG5Tur7T9Zg048yvfa19KR+9epV2NnZYdeuXeauCiEmR4fcCeFAamoq8vPzsWfPHpV1V8+dQ+2pUxr3V7xFqroEnhc/n5PbqOYXXEfONVeN2yjeIlVdAl+WUm6xt1Ht378/5syZg6SkJMydOxeurppfqylJa2pw94fvUX/9OupLSsBIpQAAj8ceg98Liw2KffFGM86XNKG0rAU1DXI0tTBwd+LjIS87jA91gq9H1/yqb25uxltvvYX//Oc/+P3331FbWwsAiIyMRFZWlsr258+fx9q1a3Hy5ElUV1ejZ8+eiI2NxVtvvQVvb28T11531EMnxEAymQzJycmIjIzEiBEjVNbXvq/53tyuK17Tqhx1iT4qKgr+/v5a7Q8Ae89oTnDPj9Ju0Jq6RK9rXYxl5cqVKCsrw/bt281dFSXS+/dR9ssvqLt6lU3mXDlZ0IDswibcqZKhrolBiwwor5XjbFEzNn9fhT9vNnNanrWor6/HO++8g6ysLDaZd+TYsWMYNWoUvvnmG5SVlaG5uRklJSX44IMPMGrUKNy9e9dEtdYfJXRCDHT48GGUlpZi3rx5Kuu0OVxe00nCb+P99BRdq6ZEm8Ple89oN1L8yaEOBtXFmEJCQhAWFoY9e/ZALpfrHae0tFSn7fPi52t8vwVOTvCeMAF+L74In8mxOsVellKu8f0T8IGRgQ5YHuOGzfM8sXpaNwT4tPbK5Qxw6Pe6Dve1ZUKhEC+99BI+/fRTjT/wpFIpFixYgMbGRvD5fHz++eeoqKjAihUrAADXr1/H66+/bqpq640SOiEGSk1NBY/Hw/Tp0/WO0ZoM4jtMCOFp+9B7mmluPbospRzLP+04gWxb6IXJ4S4mqYu+4uLiUFpaiszMTL32z87OxqBBg7Bp0ybO6uTg7Y3ec+bCY/QjsPfg9nLA+WNdMPsxF/T1EcLejofubgI8PVzMrr9brd+YCWsnFouxa9cuLFy4EIGBgR1u98svv+DGjRsAgLFjx2L27Nnw8PDAhg0bIBKJAABfffUVqqurTVJvfVFCJ8QADMMgKysLAwcOhLu7u9K6LJ0HZqmOOec7OnJy7vyTf+XoVhOe6jKRkGex587bGz16NIDWw6j6CA4ORkREBFatWoWNGzdyWTWjENmrfpVLFXJ4NzF91WuSnZ3NPh4yZAj7WCQSsT8EpFIpzp49a/K66aJrjpQghCMFBQWorKxEdHS0yjq37DMGxeYikbe5UN3XoP2tJZG3GTZsGADg9OnTeu3v7OyMI0eOICYmBgkJCWAYBgkJCVxW0ahaZAx+yH1wmH3MIJpDQBPF8+Ptf5i7ubmp3c4SUUInxAA3b94EAPj4+HAXlMdDeGqamsVqus0a1hUVFRk8SI0HYKuaZG6OuujCxcUFIpGIfX8U+fv7o6SkRKd4q1evRnh4OPvDrbagAFc3qe+5tz9tMvjd9+CgwwjpwjvN2PFTjdp17U+DvD2jGzxdBErLGpvl2HusFsVlLQCA4QEOGDtIpHX5XR3Tbp4IxeeaPveWwKoSulQqhZTj0aHalKn4b1couyu+Zn3LrKioAAB069aNkzoErF4D1wED1K5LTExUWZaamoqqqiosX75cZV37noauXp0oRkBP9T07U9dFHx4eHigvVx0HMGPGDLXL1cnPz0deXh48PT3Rr18/rqvIuep6GT78pQa377ceb380SIQZo8UWn4jMTfEHeVVVldI6xfPmnP5wNwKrSui//PILnJyczFJ2RkaGWco1Z9ld7TXX19d3vlE7jo6tCa+hoYGTOlxbvw6A+sPtSUlJKsuysrJQXFysdp2htv9UB6BO7eF2U9dFHw0NDWq/L959912t9j916hSio6Ph5eWFzMxMBAUFsetcBg1SeY/aeuaGnioJ7Gmv0uZtPXNNpz7u3G/Bhxk1qKqTgwfgqQgnjA81z/eltRk1ahT7+I8//mAfNzY24urVqwBaR8w//PDDJq+bLqwqoU+YMMHkE0VIpVJkZGRg/PjxEAqFXaLsrviagQe9bV20TTZRWVnJaV3y4uej39ZtcOOo52+IZSnlSJoqRDd3t843thByuRzV1dUIDg7Wa//c3FxMnDgRIpEImZmZCA0NNbhOjFwOWV3reW1ZU9ODukpb0PLXNdJ8kQh8PT73V/8rxSeZNWhoZiDgA3PGuCCin+VeWmhKbUdjamoenMaQSqXscicnJ4wfPx59+vTBjRs3cPLkSXzxxReYOHEi1q5di8bGRgCtV05Y0kRF6lhVQhcKhSb/ku/KZXe116xPecHBweDz+SgsLFRZVz1ylEED464vXwaAm8FxQ9yKDBoYl/StFIDlzhDXXmFhIeRyudKIZV0EBgYiMjISGzdu1DtGe80VFfjzb6rXMldln0HVX5+Thxa9AM8xY3SOfSSvjr1TnkwO7DtRi30nlCdSUXe+vStQN8Pb6dOn2eWJiYlISkpCamoqnnrqKTQ2NmL27NlK2/ft2xfvvfeeSeprCLqWgRADuLu7IzQ0FLm5uSqDaaKWLuWkjLz4+Wj+q5egr0XThnNSl2Up5WhsMv34Bl21XYYUGRmp1/5ubm44dOgQZ8mcWL5x48bhzJkzmD59Ory8vCAUCuHn54dXXnkF2dnZFn/+HLCyHjohlmjKlClISkpCTk6O2qlfuXBxyeIOR7+b2hvprYOELLm3npGRAYFAgEmTJpmszM6OpDh4e+t9tKWztn4l2l2vuF1B+x/amoSFheGf//ynEWtjXNRDJ8RAixYtgkAgwP79+1XWcXktubrbrrYNRNOGsROwLnUxpvr6ehw8eBCTJ0+Gr6+vuatDiMlQQifEQL169UJcXBzS09NRV6c6Z7YrR3NAc/HjYNFozTeo0JYl984PHDgAiUTCzsNNSFdBCZ0QDqxfvx4SiQQ7d+5UWRcQGgYPPQY6KeKqpz9kYF+M7G9vUAxLTuYtLS3YsGEDYmNjMXbsWHNXhxCTooROCAf69u2LtLQ0iMVitev9Fr0Av03/0Cs2p4ftAcwe44pVk/QbPmPJyRxonblv7ty52LJFuzvYEWJLaFAcIRyZOXOmxvUePXvCI20f8hbEqz0f3t5Dk2PhOWMGV9VT0sPbHdsWAstTytXcEkbVE/2dETvG8qcP9ff3t5iJbQgxNUrohJiY4kj1/KUvsZONAIBDz54YrGdPXh+K87SvSi9H/YP5TtDdTYDV08w/sQ0hRDuU0Akxo9Bdu81dBdbG2cY/nB79sLPRyyCkq6Jz6IQQQogNoIROCCGE2ABK6IQQQogNoIROCCGE2ABK6IQQQogNoIROCCGE2ABK6IQQQogNoOvQCTGj8y++CHlDPfvc3scHwe9s5rSM29/+i9N4inynTjNabEO9+XkFGpofzIPn7crHmukenJZx5KyE03iK6Jp9oitK6ISYmKapX5vv3kVe/HwAgOu4cQiIX2DCmlk/TVPZltXIsSylHAAwarAYz450NF3FCDEBOuROCAfkcjnCwsIQExPT4TYVt2+3Jmst5nEHgJpjx9jkbumuXr0KOzs77Nq1i/PY2rTtnXv3sUzLeekB4MyfdWxyt3TGbFtiWyihE8KB1NRU5Ofnd3hjkOKPP0Lpqjf1im0NSb1///6YM2cOkpKSUFNTw2nsztp2/8kabPpRpldsa0jqxmxbYlsooRNiIJlMhuTkZERGRmLEiBEq66+eO4f7p05pjBGeto/9U8cakvrKlStRVlaG7du3cxazs7bNL7iOnGvNGmNsW+jF/qljDUndGG3LFWlNDW7u/wwXX38N555/Dhde/l8U7fgADaWlBseubZDjmzMSJH9didfSyrH6iwqkHK/BrcoWg2NLJBKsWbMGQUFBEIlE8PDwQExMDH799VeDY5sLJXRCDHT48GGUlpZi3rx5atfXvq/53tyuK17Tqhx1ST0qKgr+/v5a7W9sISEhCAsLw549eyCXyzVuq229O2vbvWdcNe7//CjtBq2pS+rW2ramJK2qwpXkJJRlZKC5vBxMSwtaamtRlZODy2v/D7WXLukdu7peji2HqnCyoBGVEjlkckDSyOBccTPeP1SFq/+V6h27rq4OY8eOxfr163HlyhU0NTXh/v37OHLkCKKionDgwAG9Y5sTJXRCDJSamgoej4fp06errNOmZ13TScJv4/30FF2rZnJxcXEoLS1FZmYmJ/E0ta02Peu9Z7QbKf7kUAed62ZqhrZtqR495rz4+Ro/wzfTP0dzeev74D3hfzBk5y74vfgSwOOBaW5G6Z6PwcjUnw5ZllKu8T389j8SVEpaf7xEDhZhw2wPzI90AY8HSGXA57/WQibXdtSEsrVr1yIvLw9Aa7veu3cPR48ehZOTE+RyOZYsWYLKykq9YpsTJXRCDMAwDLKysjBw4EC4u7vrHaf1izO+wy/P8LR96D3Nci8RazN69GgAwLFjxwyOxVXbLkspx/JPO04e2xZ6YXK4i97xTcWQts3OzsagQYOwadMmzurTUleHqtxcAABPKITvM8/AztkZHqNHwzloIACgubwcNX/8oXPs+iY5zhe3nkoRCoDJEWKIHfiI6OeAAB8hAKBSIsfl27r30hmGwaeffso+f+edd+Dt7Y0nnngCcXFxAICamhp8+eWXOsc2N0rohBigoKAAlZWVePjhh1XWZek8Klm1t8F3dOzwvLolGjZsGADg9OnTBsfS1Laf/CtHp1gMT3WZSMjr8Ly6JTKkbYODgxEREYFVq1Zh48aNnNSnoaQE+Kv37eDTA3x7e3adY5/e7OP6a9d0jn2zogVtnW8vVwGEdg/eQN9uAvZxcZnuCb2oqAhlZWUAABcXF/j5+bHrhgwZwj4+c+aMzrHNja5DJ8QAN2/eBAD4+PiorHPLNuwLwZoSeRsXFxeIRCK2XQyhqW0vVPc1KLY1JfI2hrSts7Mzjhw5gpiYGCQkJIBhGCQkJBhUH2l1NftY4OSktI7v+OAaf2lNNXRV2/jgx62TvfKvMZHC89oG3Q+53717l33c/siPm5ub2u2shVUldKlUCqlU/4EQ+pap+G9XKLsrvmZ9y6yoqAAAdOvWjbuK8HgIT01Ts1hNN1PDuqKiIrMM6vLw8EB5+YPD2/rW2xhtywOwVU0yt9a2BQB/f3+UlJToFGf16tUIDw9HdHQ0u6y2oABXN6nvvbc/FTT43ffabcF0+JQHHgrvNGPHT+ovuWt/KuTtGcrvt0rKVoptGKbdnBCKzzV9JiyV1ST0xWGh+H3nDgiFQtMXPjgYGRkZWm/e0tKCh45mwK6+Xu36P554Eq4KvwQ7o0vZXDJXueYqu76D90sTx796Ig0NDZzUIWD1GrgOGKB2XWJiosqy1NRUVFVVYfny5SrrDDnvbIiGhgY4KfTY9K0312376kQxAnqqnx3OWtsWAGbMmKGS5DuSn5+PvLw8eHp6ol+/fgbVRajwHSZr939HpjCdsZ2b5isR1HERPUimDU3KSbdB+uC5i6PuSVfxiE9VVZXSumqFow7qjgxZOqtJ6AAQEBAABwfTjkaVyeU4B2D8+PGd/pgoWLECstrOJ34IyTzKPg7e80mHvwSlUikyMjK0KptL5irX3GW39Qh14e3tDQCcjYi9tn4dAPWH29VNrJKVlYXi4uIOJ10xNblcjurqagQHB7PL9K031227/ac6AHVqD7dba9sCwLvvvqvV/qdOnUJ0dDS8vLyQmZmJoKAgpfUugwapfO7aeubqPo92YjF4AgEYmQxNd+9C3tzMnkdvVDgt4NQvAD172qu0e1vPXN374eTAg4APyORAea0M0haGPY9+5/6Da9D9vHX/jujXrx+6d++Oe/fuQSKRoKSkhD2PfuHCBXa7kSNH6hzb3KwqofMFAvAFgs43NAKhUNhhgrmydi3qrhbqFffiC4sAaD5fqqlsYzJXueYqW5/ygoODwefzUVio3/vfkbz4+ei3dRvcuDyUbwKFhYWQy+VKg4v0Zay2XZZSjqSpQnRz1/4omSUwpG1zc3MxceJEiEQiZGZmIjQ01OD6CJyc4DZsOKqyz4CRSnH766/RY8oU1F64AMnlywAAey8vuIaE6Bzb0Z6PMD97nC1qhlQG/PB7HSYOdcKlW1Jcu9ua0D2c+Qjy1e874rnnnmNH/P/973/Hzp07cf78eXz99dcAAFdXV8ycOVOv2OZEo9wNlBc/X+9k3j5OI03raHXc3d0RGhqK3NxclfNx1SNHGRT7+vJlVjFDnKLs7GwAQGRkpMGxNLXtELcig2InfSu1ihniFBnStoGBgYiMjMSxY8c4SeZtes+eDXuv1h522S8/48LSl1C8exfAMODZ2+OhFxaDp2cnbMoIZ3g4t6aoE382YlV6JdJO1IJhWi9lmzPGBQK+fue516xZg/DwcADAV199BW9vbzz55JOor68Hn8/HRx99BA8Pbu/MZwqU0A3A9ZdtwSsv49Lhw5zGJMY3ZcoUVFdXIydH+VKqqKVLOYmfFz8fzY2NnMQytoyMDAgEAkyaNImTeB217aJpwzmJvyylHI1Nph+AqQ9D2tbNzQ2HDh3i5MiJIqG7OwYkJsHrySdh7+UFnkAAOxcXuA8bjqC33obLwIF6x3Zz4uO1Se4YM0gED2c+BHxA7MBDmJ89VkxyR/8e+h/BE4vFOHHiBFavXo3AwEDY29vD3d0dEydOxPHjxzFr1iy9Y5uTVR1ytyS6JHPFw+kMw+DcgvgOt2348gBqIyLgYoUDMrqqRYsWYe3atdi/f7/a+ca5cHHJ4g5Hv1uK+vp6HDx4EJMnT4avry8nMU3Rtm+ktw6EsuRL2YzRttrQ5tJJoasr+sybD8zTrYOjTXu7OPIxY5QzZhh2sEt9bBcXrFu3DuvWreM+uJlQD10PuiRz9+HDlJ7zeDzATvPvqKt/X6lXvYh59OrVC3FxcUhPT0ddXZ3SOk6vJVdz29W2gVuW4MCBA5BIJFixYkWn22pbb01ta+wEbK1tS7ouSug6uviBbnc7ah71iMqyAavXdLrfHyuW61QOMa/169dDIpFg586dKutcX3+dkzIseaKZlpYWbNiwAbGxsRg7diynsTW17aLRtZyUYcm9c2O2LbEtlNB11PzX3MXaqlfzA+DK/yV3ul/I+1t1KoeYV9++fZGWlgaxWKyyLiA0DB5jxhgU35KTOdA6q9vcuXOxZYt2N5rRhaa2HTKwL0b2t1ezl/YsOZkDxm1bYlvoHLoObnym35fq5eQkBCUmAQAurVmj9tCpIkv/8ibqabrMxW/RC3B5ahJK3nxD57jW8Hnw9/c36vXamtp29hhXjBtYhY2HdL9HtqUnc8D4bUtsB/XQdVB+9GjnG6lRf/06exvChhsd38LQsW9fq/jyJvrx6Nmz9f3VckrJhybH0udBSz283bFtoZfWU4E+0d/ZKpI5IbqgHrqFoC/urkNxpHr+0pcgUxjs5dCzJwZv+oc5qmUTFOdpX5VejvqmB+u6uwmwepp1TdRDiC4ooWvpmp69807Z2SF876edb0dsUuiu3UYvw3eq5d9H3Rg2zjZ+Dzz6YWejl0GItiiha0lqhAlfQvd+CkEnl7ARQggh2qBsoqUWPe7p2yELnyCEEEKI9aGErqU8///hJM7AiP54JNb67uJDCCHEslFC19J5jhL6+Qrgy5RyGmFLCCGEU3TZmpZcHfW7q09HlqWUI/Pf5ziNSQghpOuihK6lyH4SzmN+X9gby63sFo6EEEIsEyV0LUWGG+cORwxae+tn/qTETgghRH90Dt1CfJENfJFN59a7mvMvvgh5Qz373N7HB8HvbOa0jCNnuT+61MaSr8N+8/MKNDQ/mGbZ25WPNdM9OC3j9rf/4jSeoq46fwDRHyV0HYwdJMLJgkajlrEspRxzw8sxfOhAo5ZDzCdvQXyH8/k3373L3p7Xddw4BMQvMGHNrN/ylHJ0dKeEsho5lv11imvUYDGeHelouooRYgJ0yF0H00eZpjeyP88L6/9VaZKyCDfkcjnCwsIQExPT4TYVt2+3JutObs7TpubYMTa5W7qrV6/Czs4Ou3bt4jy2Nm175959LNOQzNs782cdm9wtnTHbltgWSug6CvVtNkk5ZdVyk5RDuJGamor8/PwO74pV/PFHKF31pl6xrSGp9+/fH3PmzEFSUhJqamo4jd1Z2+4/WYNNP8r0im0NSd2YbUtsCyV0HT3/P8YZHNfeVjqXbjVkMhmSk5MRGRmJESNGqKy/eu4c7p86pTFGeNo+9k8da0jqK1euRFlZGbZv385ZzM7aNr/gOnKuaf6RvW2hF/unjjUkdWO0LVekNTW4uf8zXHz9NZx7/jlcePl/UbTjAzSUdnxnSW3VNsjxzRkJkr+uxGtp5Vj9RQVSjtfgVqXut8ptTyKRYM2aNQgKCoJIJIKHhwdiYmLw66+/GhzbXCih68HYA9fWTHEyanzCrcOHD6O0tBTz5s1Tu772/S0a93dd8ZpW5ahL6lFRUfD399dqf2MLCQlBWFgY9uzZA7lc8xEmbevdWdvuPeOqcf/nR2k3IFBdUrfWtjUlaVUVriQnoSwjA83l5WBaWtBSW4uqnBxcXvt/qL10Se/Y1fVybDlUhZMFjaiUyCGTA5JGBueKm/H+oSpc/a9U79h1dXUYO3Ys1q9fjytXrqCpqQn379/HkSNHEBUVhQMHDugd25wooevJWEl90uA6eHejhG5NUlNTwePxMH36dJV12vSsazpJ+G28n56ia9VMLi4uDqWlpcjMzOQknqa21aZnvfeMduNenhzqoHPdTM3Qti3Vo8ecFz9f42f4ZvrnaC5vfR+8J/wPhuzcBb8XXwJ4PDDNzSjd8zEYmfrTIctSyjW+h9/+R4JKSeuPl8jBImyY7YH5kS7g8QCpDPj811rI5NqOmlC2du1a5OXlAWht13v37uHo0aNwcnKCXC7HkiVLUFlpfeOYKKEbgOukvn6mK8aP9OM0JjEuhmGQlZWFgQMHwt3dXe84rV+c8R1+eYan7UPvaZZ/GdPo0aMBAMeOHTM4FldtuyylHMs/7Th5bFvohcnhLnrHNxVD2jY7OxuDBg3Cpk2bOKtPS10dqnJzAQA8oRC+zzwDO2dneIweDeeg1qt0msvLUfPHHzrHrm+S43xx66kUoQCYHCGG2IGPiH4OCPARAgAqJXJcvq17L51hGHz66YNbVr/zzjvw9vbGE088gbi4OABATU0NvvzyS51jmxsldANtW+iF/j0Mv/pv20IvODvZc1AjYkoFBQWorKzEww8/rLIuS+dRyaq9Db6jY4fn1S3RsGHDAACnT582OJamtv3kXzk6xWLUzNwsEvKsat4HQ9o2ODgYERERWLVqFTZu3MhJfRpKSoC/et8OPj3At3/w/eXYpzf7uP7aNZ1j36xoQVvn28tVAKHdgzfQt5uAfVxcpntCLyoqQllZGQDAxcUFfn4POlFDhgxhH585c0bn2OZG16Fz4JVodwDAWwcqUNOg2yGgrQs8weNxO088MZ2bN28CAHx8fFTWuWUb9oVgTYm8jYuLC0QiEdsuhtDUtheq+xoU25oSeRtD2tbZ2RlHjhxBTEwMEhISwDAMEhISDKqPtPrBLaUFTsqnCfmOD67xl+px6+naxgffo072yt+PIoXntTp+3wLA3bt32cftj/y4ubmp3c5aWFVCl8tkkHdwPsZYZH8NQJFKO/8l+Pb01gE6zc3NeO9wEyok6gevrIqWwdOzdcaqlpaOR2u2lalN2VwyV7mWUrYuKioqAADdunXjriI8HsJT09Qs7viHn7p1RUVFZhnU5eHhgfLyB4e39a23MdqWB/VXkFhr2wKAv78/SkpKdIqzevVqhIeHIzo6ml1WW1CAq5vU997bnwoa/O577bZgOnzKAw+Fd5qx4yf1l9y1PxXy9gzl91slZSvFNgzTbk4IxefW2NGymoT+8fl8RPEFcBKa57B0RkaGTtuH2QPoYJbJ7Gzjls0Vc5VrrrLr6+s736gdx796Ig0NDZzUIWD1GrgOGKB2XWJiosqy1NRUVFVVYfny5SrrDDnvbIiGhgY4KfTY9K0312376kQxAnqqnx3OWtsWAGbMmKGS5DuSn5+PvLw8eHp6ol+/fgbVRajQm5W1+78jU5jO2M5N85UI6riIHiTThiblpNsgffDcRY+7YCoe8amqqlJaV61w1EHdkSFLZzUJHQAmTJgAV1fdPxyGkEqlyMjIwPjx4yEUCrtE2V3xNQMPetu68Pb2BgDORsReW78OgPrD7eomVsnKykJxcXGHk66YmlwuR3V1NYKDg9ll+tab67bd/lMdgDq1h9uttW0B4N1339Vq/1OnTiE6OhpeXl7IzMxEUFCQ0nqXQYNUPndtPXN1n0c7sRg8gQCMTIamu3chb25mz6M3KpwWcOoXgJ497VXava1nru79cHLgQcAHZHKgvFYGaQvDnke/c//BUU0/b92/I/r164fu3bvj3r17kEgkKCkpYc+jX7hwgd1u5MiROsc2N6tK6EKh0ORf8l257K72mvUpLzg4GHw+H4WFhZzWJS9+Pvpt3QY3Lg/lm0BhYSHkcrnS4CJ9Gattl6WUI2mqEN3c3Trf2IIY0ra5ubmYOHEiRCIRMjMzERoaanB9BE5OcBs2HFXZZ8BIpbj99dfoMWUKai9cgOTyZQCAvZcXXENCdI7taM9HmJ89zhY1QyoDfvi9DhOHOuHSLSmu3W1N6B7OfAT56vcd8dxzz7Ej/v/+979j586dOH/+PL7++msAgKurK2bOnKlXbHOiUe6EGMDd3R2hoaHIzc1VOR9XPXKUQbGvL19mFTPEKcr+63xSZGSkwbE0te0QtyKDYid9K7WKGeIUGdK2gYGBiIyMxLFjxzhJ5m16z54Ne6/WHnbZLz/jwtKXULx7F8Aw4Nnb46EXFoMnEHQSRb0pI5zh4dyaok782YhV6ZVIO1ELhmm9lG3OGBcI+Pqd516zZg3Cw8MBAF999RW8vb3x5JNPor6+Hnw+Hx999BE8PLi9M58pUEInxEBTpkxBdXU1cnKUL6WKWrqUk/h58fPR3Gjcu/xxJSMjAwKBAJMmTeIkXkdtu2jacE7iL0spR2OT6Qdg6sOQtnVzc8OhQ4c4OXKiSOjujgGJSfB68knYe3mBJxDAzsUF7sOGI+itt+EyUP+7Rro58fHaJHeMGSSChzMfAj4gduAhzM8eKya5o38P/Y/gicVinDhxAqtXr0ZgYCDs7e3h7u6OiRMn4vjx45g1a5besc3Jqg65E2KJFi1ahLVr12L//v1q5xvnwsUlizsc/W4p6uvrcfDgQUyePBm+vtzc88AUbftGeutAKEu+lM0YbasNbS6dFLq6os+8+cA83Y4madPeLo58zBjljBmGHexSH9vFBevWrcO6deu4D24m1EMnxEC9evVCXFwc0tPTUVdXp7SO02vJ1dx2tW3gliU4cOAAJBIJVqxY0em22tZbU9saOwFba9uSrosSOiEcWL9+PSQSCXbu3KmyzvX11zkpw5InmmlpacGGDRsQGxuLsWPHchpbU9suGl3LSRmW3Ds3ZtsS20IJnRAO9O3bF2lpaRCLxSrrAkLD4DFmjEHxLTmZA62zus2dOxdbtmh3oxldaGrbIQP7YmR/w+amsORkDhi3bYltoXPohHBE02UufotegMtTk1Dy5hs6x7X0ZA60zlZmzOu1NbXt7DGuGDewChsP6X6PbEtP5oDx25bYDuqhE2IiHj17tiZnLaeUfGhyrFUkc0vQw9sd2xZ6aT0V6BP9na0imROiC+qhE2JiiiPV85e+BJnCYC+Hnj0xeNM/zFEtm6A4T/uq9HLUNz1Y191NgNXTrGuiHkJ0QQmdEDMK3bXb6GVEP+xs9DIs0cbZxu+B+061/HvUk66DDrkTQgghNoASOiGEEGIDKKETQgghNoASOiGEEGIDKKETQgghNoASOiGEEGIDKKETQgghNoASOiGEEGIDKKETQgghNoASOiGEEGIDKKETQgghNoASOiGEEGIDKKETQgghNoASOiGEEGIDKKETQgghNoASOiGEEGIDKKETQgghNsDO3BXQBsMwAICamhqTly2VSlFfX4+amhoIhcIuUXZXfM0AUFtbC+DB540QQqyJVST0ti/aPn36mLkmpCuora2Fm5ubuatBCCE64TFW0B2Ry+W4ffs2XFxcwOPxzF0dYqMYhkFtbS18fX3B59PZKEKIdbGKhE4IIYQQzagbQgghhNgASuiEEEKIDaCETgghhNgASuiEEEKIDaCETgghhNgASuiEEEKIDaCETgghhNgASuiEEEKIDaCETgghhNgASuiEEEKIDaCETgghhNgASuiEEEKIDaCETgghhNgASuiEEEKIDaCETgghhNgASuiEEEKIDaCETgghhNgASuiEEEKIDaCETgghhNiA/wd83n937TfvJAAAAABJRU5ErkJggg==" ], "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>"}
[ 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>"}
[ 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, 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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rr72mtl1JtbznnnuOKS8vZ06dOsUGd5FIxCgUCnZ/1cslWxs/fjxbnytXrjBSqZT5448/mP379zOpqakWakViCffu3VP7bPz2229691+4cCG77+jRo5mbN28yt27dYp566il2+8KFC9n9TQ3oAJjXX3+dqaysZPbu3av2g0GVrvwZxry/kREjRjBXrlxh6urqmAsXLhjXqKr1M/lIQohdMjSg19XVsb2l6OhohmEYJj8/n93vxRdfZPMMDQ3VmycAZty4cez+ym18Pp+prKxkt8fGxrJpd+7cYbfrC+iLFy9mADA8Ho+ZPn068/777zP79u1j7t69y3XTEQu7e/eu2mfmzJkzevdX/dydO3eO3V5QUMBu79y5M7vd1IAeFBTE3nWSYRgmICCAAcC4ubmp5aMvoJv6NwKAKSsra6vpDGKRpV+5plAocPv2bXh7e9PdqYjFMAyD2tpahISEcH4Nv60kJSXpXCvew8MDM2bMwCeffILCwkKcO3cOX375JZv+0ksvsY9V17TXRSwWa2zr2LGj2hr4qpchNTY2GvISkJKSguLiYhw4cABZWVnsqpJ8Ph/Tpk3Dl19+qbEMMbFPgYGB8PHxYc99X7hwAf3799e5v+rnTvVGUqrnrbV9NplWV0o0NzfrrVePHj3Yu04CLZ/TiooKo24SZurfSFBQELp06WJwOfo4REC/ffs2Zy/YWn6YOBGh3l5a02J3fglGa4r9mB8T3fZOFrL1XKHNygZaJoV17tzZpnWwlvnz5+OTTz4BAGRkZODrr78GADz66KOIjY1l9wsODsatW7fA4/Fw69YtdOrUSSOv1l+igGE3/9G3HWi55nffvn2oqqrC+fPnUVJSgqysLBw6dAhff/01EhMT8dxzz7X9YonN8fl8jB8/Hl999RWAlsmOzz//vNYfZM3NzeznDmiZiKa814PqJWPBwcHsYzc3NzQ1NanNFFcoFLh+/breehn6OdXH1L8RXTd3MoVDBHRvb28AQElJCfvYWmQyGY4dO4YRI0a0ufrczbdWQ/HX7E19fpv9YC34Lu9v0PnhMaZsLslkMhRu/QzhXbtCYOWeqlyhQLyL0OqvGWi5hW7Pnj2t/hmzpX79+mHAgAHIz8/HRx99xPZk5s+fr7bfxIkT8eGHH4JhGCQlJWHz5s3o3r07Kioq8Ouvv+Lzzz/H9OnTMXv2bJPqERAQwH5Jnz17Vu36423btgFoub98v379EBsbi9LSUhw6dAgAUFZWZlKZxDZSUlLw/fffQyKRoLCwEBMmTMCaNWvQp08fSCQS/Prrr9i0aRM2bNiAxMRE9gfn8uXLsX37dvB4PCxfvpzNLzExkX0cHh6Oy5cvQywW4/Tp0xg8eDA2btxo0C27DREQEICKigqIxWLcunVL7f4hlv4bMYRDBHRlwPP394ePj49Vy5bJZPDw8EBAQIDOAHNlzRrUXS02Kf8/Xm+561b/HTs10gwp2xJkMhmEQiE83N3Bt/JQpkIuh4fQ1eqvWZUzndbZsWMHduzYobG9pKSEHbacP38+8vPz2WDu5eWF6dOnq+2flpaGY8eO4cKFC8jOzkafPn008jSnl/zYY4+xd55TDsHGxcUhJycHubm5OpeGdnFx0bjsjti3Hj164D//+Q+mTp0KsViMffv2Yd++fVr3TUtLw08//YTi4mIcPHhQLYAq81JdRGn27NlYtWoVgJbPlKenJyQSCTw8PDi5++Rjjz2GH374AXV1dewonvK0lqX/RgzhHCcKbaggabbJwbx1Po2trqkkxBqef/55tVGJ5557TmOUwt/fH7m5uVizZg369+8PT09P9r4No0aNwvvvv2/WfQlSU1MxY8YMBAcHa/ygmjRpEqZOnYqIiAh4e3tDIBAgMDAQCQkJ+Omnn+xuNTHSthEjRqCoqAhr1qzB4MGD4efnB6FQiNDQUIwYMQKbN29Gjx49EBQUhLy8PCQnJ6NPnz4QiURwc3PDI488gpUrVyIvLw+BgYFsvsuWLUNycjLCwsLg6uqK3r17Y+/evRg4cCAn9f7ggw8wfvx4BAQEaKRZ+m/EEA6x9GtNTQ18fX1RXV1tkx76/v37MXbsWI0eY0ES90Mn7tOeQ++/FhbQV7YlyWQy/PreevTo0cMmPfTfhK5Wf81Ay9rSgYGBNvmcEUKIuRxiyN0eGRPMVYfTGYbB2TlJOvdt+Odu1MbGwltlogchhBDSFhpyN4Exwdxv4AC15zweD3DR/zvq6v8uM6lehBBC2i8K6Ea68MEWo/aXDnlMY1vPVW+2edzvSxYbVQ4hhJD2jQK6kaT5+UbtX6/lB8CV/9N9a0ulqI2bjCqHEEJI+0YB3Qh/fKl5aZkhLqelso8vvfkm0MY8RG2XsBFCCCH60KQ4I4h/+smk4+qvXzfovLt7167ondp2750QQghpjQK6naBeOSGEEHPQkLuBrpnYO2+TiwsFc0IIIWajHrqBZPv3c55n9PYvIGjjEjZCCCHEEBRNDNRcU81dZjwe+mdqrq9NCCGEmIoCuoEKwv+Hk3x6x3bHY4mDOcmLEEIIUaKAbqBzHAX0cxXAPzPE2Dw3sO2dCSGEEAPRpDgD+bhze0vNRRliHPn1LKd5EkIIab8ooBsorpuE8zz/U9wZizPEnOdLCCGk/aEhdwPF9Q/BDxc4nBj3FwYtvfXnBwND+tAwfHtzbsECKBrq2eeuwcGIfHe9Teqy4qsKNEgfrGIY5MPHm5P9OS3j9p7vOM1PVcjESRbLmxBHQAHdTnydC3ydS+fW24OCOUk6l/+V3r3LriroM3IkIpLmWLQuizPE0LUQcXmNAov+GkEa0scTzw92t2hdCCHmoSF3Iwx/RGTxMhZliJF39pLFyyHWV3H7dkuwbmMtf6Wao0eNulWvMe7cu49FeoJ5a6cv1rHBnRBinyigG2HyEC+rlLOrIBBrv6u0SlmEGwqFAjExMRg7dqzW9NKtn6Fs5QqT8uY6qO86XoN3fpSbdKy9B/WrV6/CxcUFH3/8sa2rQojV0ZC7kaJDpCi87WrxcsqrFRYvg3AnMzMThYWF2LZtm0ba1bNnUXvihN7jVZf/1RbAC5Jmc7JEcGHRdeRd89G7j+ppH20BfJEdX3bZvXt3zJgxA6mpqZg5cyZ8fPS/VmuqPnsWVfl5qC8pgayqCoqmJgg7dIBH127oOH483Lt0MTlvSaMCh8/V40Z5M25VNkP21++1Qd3dMGOYN0evwDmEh4fjxo0bevc5duwY4uPjrVMhDlEP3Ugv/E+IVcrZZKdfmESTXC5HWloa4uLiMGjQII302o0b9B7vs2SpQeVoC/Tx8fEIDw836HgA2H5af4B7YYhhV3NoC/TG1sVSli1bhvLycmzZssXWVVFT/lM2Kn/5BY03b0IukYCRySC9dw9VuadxKeUtVJ87Z3LeVXUK/HyxEaXlD4I5MZ23t2P+CKKAbgJL907enOBh0fwJt/bv34+ysjLMmjVLI82Q4fKaNgK+UtAzE4ytmhpDhsu3nzbstNJT/dzMqoslRUVFISYmBtu2bYNCYfpIV1lZmVH7FyTN1vt+8wQC+A8fjh5vrkbMts/xyD/ehVevXi2Jcjnu/PsbnccuyhDrff/cXXmI6yPCrOFeGB1Nkxf1KS0tBcMwav8OHTrEpvfr1w+xsbE2rKHpaMjdRJvnBlrkfOK4PnUI6kC9c0eSmZkJHo+HyZMnm5xHSyDgATqmqVnzjnyLMsTgMQCjYy0lex1uVzV16lSsWrUKR44cwahRo4w+Pjc3FyNHjsTq1auxYoVpcx9aC1/wMgTuD4KtqGNHhDz3PK6kpQIAGu/cMTnvAG8BJg1u+TH266UGs+rZHm3Y8OBH9euvv27DmpiHeuhm4PqLbe00H4waHMZpnsSyGIZBTk4OevfuDT8/P7W0HKMnZmkGc767OyfB/PPv8oyriZZgLhLyHCKYA8DQoUMBAEePHjXp+MjISMTGxmLlypVIT0/npE6qwVxJIZWyj139ub3mnxjmwoULOHz4MACgc+fOmDZtmo1rZDrqoZtp89xAfHCgClf/bDY7H+J4ioqKUFlZiYSEBI0039zTZuXNZa/8fHVXs453tM/ngAEDAAAnT5406XgvLy8cOHAAY8eORXJyMhiGQXJyMpdVhEImw51v/sU+D3zK+JEEYr4NGzaA+etS0tdeew1CodDGNTIdBXQOvJrgBwBYvbsCNQ2GXtnbYtOcAPB43K4TT6zn5s2bAIDg4GDuMtVxe119nxNtaSUlJWZPUuNB+wRNW9TFGN7e3hCJROz7o8qQWc6trVq1Cv3792d/uNUWFeHqO9p77q3Po/d57324BQWpbZM3NOD6ls2ou3oVANDhsccR9NepgeI7Unx4sEZr3q1P8701pQMCvAVGvRbywL179/DVV18BaPnMzJ8/38Y1Mo9DBXSZTAaZTGb1MlX/1+etyS0ziKVSKd7f34QKifYJOSsT5AgIaBlea27W3bM3pmwuKcuTmzGhyFTKMq39mk0ts6KiAgDQoUMHTuoQsepN+PTsqTUtJSVFY1tmZiaqqqqwePFijbTWpwCM9doYT0R00j7Bytp1MYW/vz/EYs15LlOmTNG6XZvCwkIUFBQgICAA3bp146Resvv3cfX999D4xx8AgMARI9F59mz6YW8DH374IZqamgAA8+bNg6+vr41rZB4ewxi4bJUN1dTUwNfXF1lZWfDwoBngxDLq6+sxffp0VFdXG3z98t69ezFx4kQkJydj7dq1amnmLAhj6HB7fHw8SktLUVpaqnc/cyZwGjrcbkhdrLmWu7+/P9zc3HDHxMlmJ06cQEJCAtzc3HDkyBFER0fr3V/5fut77xpu3sS199+DrLIS4PHQafIUdBw/vs26KN8/Q96LXy814JtTdQDoOnR9Ghsb8fDDD6O8vBwCgQDXrl1DWJhjz2FyqB766NGjrb5QhEwmQ3Z2NkaNGmX1cyu2Krs9vmbgQW/bGEF/DaVWVnK7sl9B0mx027QZvhz1/M2xKEOM1IlCdPBznN6LQqFAdXU1IiMjTTo+Pz8fY8aMgUgkMiiYG6L20iWUbN4EeX09eC4ueHjei/D/a/KeuRQMg/qmlr6ZtPlBH61ZzkDS2DLqJRLy4CKgUQClnTt3ory8HEDLqI2jB3PAwQK6UCi02YSF9lh2e3vNppQXGRkJPp+P4uJijbTqwUPMmhh3ffEiANxMjuvrW2LWxLjUPTIA9rtCXGvFxcVQKBTo27evScf36NEDcXFxSE9PNzmP1v7c8x3k9S131mOam3Hj009w49NP1PbRdr7dEPclCvzfv+9rbD9TIsWZkpYfm9Of8MLgHpa/H4UjYBgGGzduZJ+/8cYbNqwNd+iyNULM4Ofnh+joaOTn56P12av4hQs5KaMgaTakjY1m5TFv0kBO6rIoQ4zGJuvPbzBWbm4uACAuLs6k4319fbFv3z7OgjmxL/v378elSy03wRo+fDh7VYSjc6geOiH2aMKECUhNTUVeXp7WpV+5cOGl+Tpnv1vb8qxqAPZ9KVt2djYEAgHGjRtntTLbGknpsdL0y97aausAb4Fdvx/25umnn9b4Ae4MqIdOiJnmzZsHgUCAXbt2aaRxusKbli+gnJycNifEKVn6C9+YulhSfX099u7di/HjxyMkxDr3XiDEHlBAJ8RMoaGhmDp1KrKyslBXV6eR7sPRUpJc/DiYN7SWg5rYd+989+7dkEgkWLJkia2rQohVUUAnhANr166FRCLBRx99pJEWER0D/2HDzMqfq55+395dMbi7ebf/tedg3tzcjHXr1iExMRHDhw+3dXUIsSoK6IRwoGvXrtixYwc8PT21pofNexFh7/zDpLy5vjHL9GE+WDnOtOkz9hzMgZaV+2bOnKl2sw1C2guaFEcIR9q6qYN/p07w37ETBXOStJ4Pb+3h8YkImDKFq+qp6Rjkh81zgcUZYh33d1P3ZHcvJA6z/0uewsPDkZqaautqEGITFNAJsTLVmeqFC1+GXOW8u1unTuhjYk/eFKrrtK/MEqO+6UHaQ74CrJpk+4VtCCGGoYBOiA1Ff/xJ2ztZSfp0yw+nt16elRDCHTqHTgghhDgBCuiEEEKIE6CATgghhDgBCuiEEEKIE6CATgghhDgBCuiEEEKIE6CATgghhDgBug6dEBs6t2ABFA317HPX4GBEvrveJnVZ8VUFGqQP1o0L8uHjzcn+nJZx4IyE0/xUJTzqZbG8CXEEFNAJsTJ9S79K795FQdJsAIDPyJGISJpj0broW/q1vEaBRRliAMCQPp54frC7RetCCDEPDbkTYiUVt2+3BGsD1nEHgJqjR9ngzrU79+5jkYHruAPA6Yt1bHAnhNgnCuiEcEChUCAmJgZjx47Vml669TOUrVxhUt5cB/Vdx2vwzo9yk46196B+9epVuLi44OOPP7Z1VQixOhpyJ4QDmZmZKCwsxLZt2zTSrp49i9oTJ/Qer3qLVG0BvCBpNie3US0suo68az5691G9Raq2AL4oQ2y3t1Ht3r07ZsyYgdTUVMycORM+PvpfqzXJampw94f/oP76ddTfuAFGJgMA+D/xBMJenG9W3hf+kOLcjSaUlTejpkGBpmYGfh58PBzoglHRHgjxp696pTNnzuDtt99GYWEhysvLUVdXB19fX0RFRWHmzJmYN28eeDyeratpEuqhE2ImuVyOtLQ0xMXFYdCgQRrptRv135vbZ8lSg8rRFujj4+MRHh5u0PEAsP20/gD3whDDJq1pC/TG1sVSli1bhvLycmzZssXWVVEju38f5YcPo+7qVTaYc+V4UQNyi5twp0qOuiYGzXJAXKvAmRIp1v+nChdvSjktz5FdvHgRe/bswbVr11BTUwO5XI7KykocP34c8+fPxxtvvGHrKpqMAjohZtq/fz/Kysowa9YsjTRDhstr2gj4SkHPTDC2amoMGS7fftqwmeJP9XMzqy6WFBUVhZiYGGzbtg0KhcLkfMrKyozavyBptt73W+DhgaDRoxG2YAGCxycalfeiDLHe90/ABwb3cMPisb5YPysAqyZ1QERwS69cwQD7fqvTeWx7ExERgU8//RTFxcVoaGjAzZs3kZSUxKZv377dhrUzD43DEGKmzMxM8Hg8TJ482eQ8WgIBD9AxTY2L4XZDLcoQg8cAjI5RR3sdblc1depUrFq1CkeOHMGoUaOMPj43NxcjR47E6tWrsWKFaXMfWnMLCkLnGTMBAOKjRznJU2n2cG+IXB/0zx7yFeCZgZ7YsK8aAHC32rQ5E85o6NChGDp0KPs8NDQUS5cuxY4dOwAArq6utqqa2aiHTogZGIZBTk4OevfuDT8/P7W0HKMnZmkGc767OyfB/PPv8oyriZZgLhLyHCKYA2C/sI+aGDgjIyMRGxuLlStXIj09ncuqWYRqMFeSqcTwDp70Va+NQqHAH3/8gQ0bHoySLV1q2Ckwe0Q9dELMUFRUhMrKSiQkJGik+eaeNitvLnvl56u7mnW8owRypQEDBgAATp48adLxXl5eOHDgAMaOHYvk5GQwDIPk5GQuq2hRzXIGP+Q/GGYf9gitIdDakCFDkJubyz53cXHBu+++iyVLltiwVuahgE6IGW7evAkACA4O5i5THg/9M3do2ax75q22tJKSErMnqfEAbNISzG1RF2N4e3tDJBKx74+q8PBw3Lhxw6j8Vq1ahf79+7M/3GqLinD1He0999bn0fu89z7cgoIMLqv4jhQfHqzRmtb6PPpbUzogwFugtq1RqsD2o7UoLW8GAAyMcMPwR0QGl99eNTc3Y+nSpZDJZPjf//1fW1fHJA4V0GUyGWQczw41pEzV/9tD2bZ+zdfrO+PAGQn4AkHbB3Coob7Z6GMqKioAAB06dOCkDhGr3oRPz55a01JSUjS2ZWZmoqqqCosXL9ZIa30KwFivjfFERCftPTtr18UU/v7+EIs1J5JNmTJF63ZtCgsLUVBQgICAAHTr1o3rKnKuul6OTw/X4Pb9lvH2x3uJMGWop8NehmVJp0+fhlwux59//ont27ezn+k333wTc+fORZARP8LsBY9hDFy2yoZqamrg6+uLrKwseHh42Lo6xMKu13e2SbkymQzLk4aiurra4OuX9+7di4kTJyI5ORlr165VSzNnQRhDh9vj4+NRWlqK0tJSvfuZsyCMocPthtTFmmu5+/v7w83NDXfu3DEpvxMnTiAhIQFubm44cuQIoqOj9e6vfL8Nee/ER4/ijx2ZLfU04Dp05fun7724c78Zn2bXoKpOAR6Ap2M9MCqavi8N5efnh+rqlkmEp0+fxuDBg21cI+M5VA999OjRVl8oQiaTITs7G6NGjYJQKGwXZdv6NX/2fREiunWzQQ+9wehjlL/iKysrOa1LQdJsdNu0Gb4c9fzNsShDjNSJQnTw87V1VQymUChQXV2NyMhIk47Pz8/HmDFjIBKJDArmhmAUCsjrWs5ry5uaHtRV1ozm2loAAF8kAt+Ev7mrf8rw+ZEaNEgZCPjAjGHeiO1mv5cW2tLixYsxbNgwxMbGIiQkBJWVldi+fTsbzAUCAbp2NW/Oia04VEAXCoVWDzDtuWxbvma+QAAB37ozc/kC48uLjIwEn89HcXGxRlr14CFmTYy7vngRAG4mx/X1LTFrYlzqHhkA+10hrrXi4mIoFAr07dvXpON79OiBuLg4pKenm5xHa9KKClx843WN7VW5p1H11+fk4XkvImDYMKPzPlBQx94pT64Adv5ci50/16rto+18e3u0d+9ebN68WWf6ypUr8dBDD1mxRtyhaxkIMYOfnx+io6ORn5+P1mev4hcu5KSMgqTZkDY2mpXHvEkDOanLogwxGpusP7fCWMrZy3FxcSYd7+vri3379nEWzIn9WLBgAeLj49GpUye4urrC1dUVXbp0wcSJE7Fv3z6sWbPG1lU0mUP10AmxRxMmTEBqairy8vK0Lv3KhQsvzdc5+93alme1DE3ac289OzsbAoEA48aNs1qZbY2kuAUFmTza0lZbv5rgZ1K+7dGKFSs4WyzI3lAPnRAzzZs3DwKBALt27dJI43SFNy3zV3NyctqcEKdk6QBsTF0sqb6+Hnv37sX48eMREhJi6+oQYjUU0AkxU2hoKKZOnYqsrCzU1Wmume3zuuZ5U1Nw8eNg3tDatncygD33znfv3g2JROLQC4QQYgoK6IRwYO3atZBIJPjoo4800iKiY+BvwkQnVVz19Pv27orB3c1bq9qeg3lzczPWrVuHxMREDB8+3NbVIcSqKKATwoGuXbtix44d8PT01JoeNu9FhL3zD5Py5vrGLNOH+WDlONOmz9hzMAdaVu6bOXOm2trchLQXNCmOEI5MmzZNb7p/p07w37ETBXOStJ4Pb+3h8YkImDKFq+qp6Rjkh81zgcUZYh33d1P3ZHcvJA6z/+VDw8PDkZqaautqEGITFNAJsTLVmeqFC19mFxsBALdOndDHxJ68KVTXaV+ZJUb9g/VO8JCvAKsm2X5hG0KIYSigE2JD0R9/YusqsNKnW344vfXyrIQQ7tA5dEIIIcQJUEAnhBBCnAAFdEIIIcQJUEAnhBBCnAAFdEIIIcQJUEAnhBBCnAAFdEIIIcQJ0HXohNjQuQULoGioZ5+7Bgcj8t31nJZxe893nOanKmTiJIvlba4VX1WgQfpgHbwgHz7enOzPaRkHzkg4zU8VXbNPjEUBnRAr07f0q/TuXRQkzQYA+IwciYikOVasmePTt5RteY0CizLEAIAhfTzx/GB361WMECugIXdCOKBQKBATE4OxY8fq3Kfi9u2WYG3AOu4AUHP0KBvc7d3Vq1fh4uKCjz/+mPO8DWnbO/fuY5GB69IDwOmLdWxwt3eWbFviXCigE8KBzMxMFBYW6rwxSOnWz1C2coVJeTtCUO/evTtmzJiB1NRU1NTUcJp3W22763gN3vlRblLejhDULdm2xLlQQCfETHK5HGlpaYiLi8OgQYM00q+ePYv7J07ozaP/jp3sP20cIagvW7YM5eXl2LJlC2d5ttW2hUXXkXdNqjePzXMD2X/aOEJQt0TbckVWU4Obu77EhdeX4uwLf8P5V/6Okg8/QENZmdl51zYo8O1pCdK+qcTSHWKs+roCGcdqcKuy2ax8pVIpli9fjhEjRsDHxwc8Hg88Hg/x8fFm19mWKKATYqb9+/ejrKwMs2bN0ppeu1H/vbl9liw1qBxtQT0+Ph7h4eEGHW9pUVFRiImJwbZt26BQKPTua2i922rb7ad99B7/whDDJq1pC+qO2rbWJKuqwpW0VJRnZ0MqFoNpbkZzbS2q8vJwec3/ofbSJZPzrq5XYMO+KhwvakSlRAG5ApA0MjhbKsXGfVW4+qfM5Lzr6+vx7rvvIicnB7W1tSbnY28ooBNipszMTPB4PEyePFkjzZCedU0bAV8p6JkJxlbN6qZOnYqysjIcOXKEk/z0ta0hPevtpw2bKf5UPzej62Zt5rZtmQk95oKk2Xo/wzezvoJU3PI+BI3+H/T96GOELXgZ4PHASKUo27YVjFz76ZBFGWK97+Ge/0pQKWn58RLXR4R10/0xO84bPB4gkwNf/VILucLQWRPqhEIhXn75ZXzxxRd2OephKprlTogZGIZBTk4OevfuDT8/P5PzafnS5AE6pnXpGoq3N0OHDgUAHD16FKNGjTIrL67adlGGGDwGYHja03UNxdsbc9o2NzcXI0eOxOrVq7FihWlzOVprrqtDVX4+AIAnFCLk2WfBd3WF/9ChqMjJgeRSEaRiMWp+/x2+MTFG5V3fpMC50pZTKUIBMD7WE0IXHmK7ueHk5UZc/VOGSokCl2/L0Kezq9F19/T0ZCcZHjx40Ojj7RX10AkxQ1FRESorK/Hoo49qpOUYPStZM5jz3d0dJpgDwIABAwAAJ0+eNDsvfW37+Xd5RuWlLZiLhDyHCeaAeW0bGRmJ2NhYrFy5Eunp6ZzUp+HGDeCv3rdbcEfwXR8EVvcundnH9deuGZ33zYpmKDvfgT4CCF0evIEhHQTs49Jy04fdnRH10Akxw82bNwEAwcHBGmm+uafNytuRArmSt7c3RCIR2y7m0Ne256u7mpW3IwVyJXPa1svLCwcOHMDYsWORnJwMhmGQnJxsVn1k1dXsY4GHh1oa3/3BNf6ymmoYq7bxwY9bD1f1X2Milee1DaYNuTsrhwroMpkMMpl1f5Epy7N2ubYs2x5es0LHeTdLUsiNn2xUUVEBAOjQoQN3FeHx0D9zh5bNOsaMdaSVlJTYZFKXv78/xOIH50ZNrbcl2pYHYJOWYO6obQsA4eHhuHHjhlH5rFq1Cv3790dCQgK7rbaoCFff0d57b30evc9777fag9H5lAceiu9I8eFB7ZfctT6P/tYU9fdbI2Sr5U1UOVRAP3z4MDxa/RK0luzsbJuUa8uybVVuNw+A+fMmrB3Sm+vr296pFfe/eiINDQ2c1CFi1Zvw6dlTa1pKSorGtszMTFRVVWHx4sUaaeacdzZHQ0OD2t+pqfXmum1fG+OJiE7aV4dz1LYFgClTpmgEeV0KCwtRUFCAgIAAdOvWzay6CH192cfyVn87cpXljF189V+JoI236EGobmhSD+kNsgfPvd0ppKtyqIA+evRo+PgY/+Ewh0wmQ3Z2NkaNGgWhUNguym6Prxl40Ns2RlBQEACgsrKSkzpcW/s2AO3D7doWVsnJyUFpaanORVesTaFQoLq6GpGRkew2U+vNddtuOVgHoE7rcLujti0AvPfeewYdf+LECSQkJCAwMBBHjhxBr1691NK9H3lE43On7Jlr+zy6eHqCJxCAkcvRdPcuFFIpex69UeW0gEe3CHTq5KrR7sqeubb3w8ONBwEfkCsAca0csmaGPY9+5/6Da9DDgqz7HWHvHCqgC4VCq3/Jt+ey29trNqW8yMhI8Pl8FBcXc1qXgqTZ6LZpM3y5HMq3guLiYigUCvTt29fsvCzVtosyxEidKEQHP9+2d7Yj5rRtfn4+xowZA5FIhCNHjiA6Otrs+gg8POA7YCCqck+Dkclw+5tv0HHCBNSePw/J5csAANfAQPhERRmdt7srHzFhrjhTIoVMDvzwWx3G9PPApVsyXLvbEtD9vfjoFWL6d4RyVEN19T2ZTMZu9/DwsNmIsKkcKqATYm/8/PwQHR2N/Px8MAyjdr61evAQsybGXV+8CIBjTY7Lzc0FAMTFxZmdl7627etbYtbEuNQ9MgBih5ocZ07b9ujRA3FxcUhPT+fkx5ZS5+nTUX/tKqRiMcoPH0L54UNsGs/VFQ+/OB88gUBPDrpNGOSF0vIqVEoU+PliI36+2MimCQXAjGHeEPBNH3JXjgCpOnnyJLs9JSXFbkZnDEWXrRFipgkTJqC6uhp5eeqXUsUvXMhJ/gVJsyFtbGx7RzuQnZ0NgUCAcePGcZKfrradN2kgJ/kvyhCjsckxLn0yp219fX2xb98+ToM5AAj9/NAzJRWBTz0F18BA8AQCuHh7w2/AQPRa/Ra8e/c2OW9fDz6WjvPDsEdE8PfiQ8AHPN14iAlzxZJxfujekYbbW6MeOiFmmjdvHtasWYNdu3ZpXW+cCxdemq9z9ru9qK+vx969ezF+/HiEhIRwkqc12nZ5VstlVfbcW7dE2xrCkNEhoY8PusyaDcwy7n4DhrS3tzsfU4Z4YcoQo7I2CGPgXQ8dCfXQCTFTaGgopk6diqysLNTV1amlcTpcruULSDlxyx7s3r0bEokES5YsaXNfQ+utr20tHYAdtW1J+0UBnRAOrF27FhKJBB999JFGms/rr3NShj2fS29ubsa6deuQmJiI4cOHc5q3vradN5SbG2vYc+/ckm1LnAsFdEI40LVrV+zYsQOenp4aaRHRMfAfNsys/O05mAMtq7rNnDkTGzYYdqMZY+hr2769u2Jwd+PX8lZlz8EcsGzbEudC59AJ4ci0adN0poXNexHeT4/DjRXLjc7X3oM50LJamSVnBOtr2+nDfDCydxXS9xl/j2x7D+aA5duWOA/qoRNiJf6dOrUEZz3LjKp6eHyiQwRze9AxyA+b5wYavBTok929HCKYE2IM6qETYmWqM9ULF74MucpkL7dOndDnnX/YolpOQXWd9pVZYtQ3PUh7yFeAVZMca6EeQoxBAZ0QG4r++BOLlxEycZLFy7BH6dMt3wNPeNTL4mUQYigacieEEEKcAAV0QgghxAlQQCeEEEKcAAV0QgghxAlQQCeEEEKcAAV0QgghxAlQQCeEEEKcAF2HTogNnVuwAIqGeva5a3AwIt9dz2kZB85IOM1PlT1fh73iqwo0SB/coS7Ih483J/tzWsbtPd9xmp+q9rp+ADEdBXRCrKxgTpLWW6ECgPTuXRQktdxX2mfkSEQkzbFizRzf4gwxdN3lurxGgUUZYgDAkD6eeH6wu/UqRogV0JA7IRxQKBSIiYnB2LFjde5Tcft2S7DWEcxbqzl6lA3u9u7q1atwcXHBxx9/zHnehrTtnXv3sUhPMG/t9MU6NrjbO0u2LXEuFNAJ4UBmZiYKCwt13hWrdOtnKFu5wqS8HSGod+/eHTNmzEBqaipqamo4zbuttt11vAbv/Cg3KW9HCOqWbFviXCigE2ImuVyOtLQ0xMXFYdCgQRrpV8+exf0TJ/Tm0X/HTvafNo4Q1JctW4by8nJs2bKFszzbatvCouvIuybVm8fmuYHsP20cIahbom25Iqupwc1dX+LC60tx9oW/4fwrf0fJhx+goazM7LxrGxT49rQEad9UYukOMVZ9XYGMYzW4VWn8rXJVSaVSLF++HCNGjICPjw94PB54PB7i4+PNrrMtUUAnxEz79+9HWVkZZs2apTW9duMGvcf7LFlqUDnagnp8fDzCw8MNOt7SoqKiEBMTg23btkGhUOjd19B6t9W220/76D3+hSGGTQjUFtQdtW2tSVZVhStpqSjPzoZULAbT3Izm2lpU5eXh8pr/Q+2lSybnXV2vwIZ9VThe1IhKiQJyBSBpZHC2VIqN+6pw9U+ZyXnX19fj3XffRU5ODmpra03Ox95QQCfETJmZmeDxeJg8ebJGmiE965o2Ar5S0DMTjK2a1U2dOhVlZWU4cuQIJ/npa1tDetbbTxs2C/+pfm5G183azG3bMhN6zAVJs/V+hm9mfQWpuOV9CBr9P+j70ccIW/AywOOBkUpRtm0rGLn20yGLMsR638M9/5WgUtLy4yWujwjrpvtjdpw3eDxAJge++qUWcoWhsybUCYVCvPzyy/jiiy/sctTDVDTLnRAzMAyDnJwc9O7dG35+fibn0/KlyQN0TOvSNRRvb4YOHQoAOHr0KEaNGmVWXly17aIMMXgMwPC0p+sairc35rRtbm4uRo4cidWrV2PFCtPmcrTWXFeHqvx8AABPKETIs8+C7+oK/6FDUZGTA8mlIkjFYtT8/jt8Y2KMyru+SYFzpS2nUoQCYHysJ4QuPMR2c8PJy424+qcMlRIFLt+WoU9nV6Pr7unpyU4yPHjwoNHH2yvqoRNihqKiIlRWVuLRRx/VSMsxelayZjDnu7s7TDAHgAEDBgAATp48aXZe+tr28+/yjMpLWzAXCXkOE8wB89o2MjISsbGxWLlyJdLT0zmpT8ONG8BfvW+34I7guz4IrO5dOrOP669dMzrvmxXNUHa+A30EELo8eANDOgjYx6Xlpg+7OyPqoRNihps3bwIAgoODNdJ8c0+blbcjBXIlb29viEQitl3Moa9tz1d3NStvRwrkSua0rZeXFw4cOICxY8ciOTkZDMMgOTnZrPrIqqvZxwIPD7U0vvuDa/xlNdUwVm3jgx+3Hq7qv8ZEKs9rG0wbcndWDhXQZTIZZDLr/iJTlmftcm1Zdnt8zaaWWVFRAQDo0KEDdxXh8dA/c4eWzTrGjHWklZSU2GRSl7+/P8TiB+dGTa23JdqWB2CTlmDuqG0LAOHh4bhx44ZR+axatQr9+/dHQkICu622qAhX39Hee299Hr3Pe++32oPR+ZQHHorvSPHhQe2X3LU+j/7WFPX3WyNkq+VNVDlUQD98+DA8Wv0StJbs7GyblGvLstvba66vr297p1bc/+qJNDQ0cFKHiFVvwqdnT61pKSkpGtsyMzNRVVWFxYsXa6SZc97ZHA0NDWp/p6bWm+u2fW2MJyI6aV8dzlHbFgCmTJmiEeR1KSwsREFBAQICAtCtWzez6iL09WUfy1v97chVljN28dV/JYI23qIHobqhST2kN8gePPd2p5CuyqEC+ujRo+HjY/yHwxwymQzZ2dkYNWoUhEJhuyi7Pb5m4EFv2xhBQUEAgMrKSk7qcG3t2wC0D7drW1glJycHpaWlOhddsTaFQoHq6mpERkay20ytN9dtu+VgHYA6rcPtjtq2APDee+8ZdPyJEyeQkJCAwMBAHDlyBL169VJL937kEY3PnbJnru3z6OLpCZ5AAEYuR9Pdu1BIpex59EaV0wIe3SLQqZOrRrsre+ba3g8PNx4EfECuAMS1csiaGfY8+p37D65BDwuy7neEvXOogC4UCq3+Jd+ey25vr9mU8iIjI8Hn81FcXMxpXQqSZqPbps3w5XIo3wqKi4uhUCjQt29fs/OyVNsuyhAjdaIQHfx8297ZjpjTtvn5+RgzZgxEIhGOHDmC6Ohos+sj8PCA74CBqMo9DUYmw+1vvkHHCRNQe/48JJcvAwBcAwPhExVldN7urnzEhLniTIkUMjnww291GNPPA5duyXDtbktA9/fio1eI6d8RylEN1dX3ZDIZu93Dw8NmI8KmcqiAToi98fPzQ3R0NPLz88EwjNr51urBQ8yaGHd98SIAjjU5Ljc3FwAQFxdndl762ravb4lZE+NS98gAiB1qcpw5bdujRw/ExcUhPT2dkx9bSp2nT0f9tauQisUoP3wI5YcPsWk8V1c8/OJ88AQCPTnoNmGQF0rLq1ApUeDni434+WIjmyYUADOGeUPAN33IXTkCpOrkyZPs9pSUFLsZnTEUXbZGiJkmTJiA6upq5OWpX0oVv3AhJ/kXJM2GtLGx7R3tQHZ2NgQCAcaNG8dJfrradt6kgZzkvyhDjMYmx7j0yZy29fX1xb59+zgN5gAg9PNDz5RUBD71FFwDA8ETCODi7Q2/AQPRa/Vb8O7d2+S8fT34WDrOD8MeEcHfiw8BH/B04yEmzBVLxvmhe0cabm+NeuiEmGnevHlYs2YNdu3apXW9cS5ceGm+ztnv9qK+vh579+7F+PHjERISwkme1mjb5Vktl1XZc2/dEm1rCENGh4Q+PugyazYwy7j7DRjS3t7ufEwZ4oUpQ4zK2iCMgXc9dCTUQyfETKGhoZg6dSqysrJQV1enlsbpcLmWLyDlxC17sHv3bkgkEixZsqTNfQ2tt762tXQAdtS2Je0XBXRCOLB27VpIJBJ89NFHGmk+r7/OSRn2fC69ubkZ69atQ2JiIoYPH85p3vradt5Qbm6sYc+9c0u2LXEuFNAJ4UDXrl2xY8cOeHp6aqRFRMfAf9gws/K352AOtKzqNnPmTGzYYNiNZoyhr2379u6Kwd2NX8tblT0Hc8CybUucC51DJ4Qj06ZN05kWNu9FeD89DjdWLDc6X3sP5kDLamWWnBGsr22nD/PByN5VSN9n/D2y7T2YA5ZvW+I8qIdOiJX4d+rUEpz1LDOq6uHxiQ4RzO1BxyA/bJ4baPBSoE9293KIYE6IMaiHToiVqc5UL1z4MuQqk73cOnVCn3f+YYtqOQXVddpXZolR3/Qg7SFfAVZNcqyFeggxBgV0Qmwo+uNPLF5GwqNeFi/DHqVPt3wPPGTiJIuXQYihaMidEEIIcQIU0AkhhBAnQAGdEEIIcQIU0AkhhBAnQAGdEEIIcQIU0AkhhBAnQAGdEEIIcQIU0AkhhBAnQAGdEEIIcQIU0AkhhBAnQAGdEEIIcQIU0AkhhBAnQAGdEEIIcQIU0AkhhBAnQAGdEEIIcQIU0AkhhBAnQAGdEEIIcQIutq6AIRiGAQDU1NRYvWyZTIb6+nrU1NRAKBS2i7Lb42sGgNraWgAPPm+EEOJIHCKgK79ou3TpYuOakPagtrYWvr6+tq4GIYQYhcc4QHdEoVDg9u3b8Pb2Bo/Hs3V1iJNiGAa1tbUICQkBn09nowghjsUhAjohhBBC9KNuCCGEEOIEKKATQgghToACOiGEEOIEKKATQgghToACOiGEEOIEKKATQgghToACOiGEEOIEKKATQgghToACOiGEEOIEKKATQgghToACOiGEEOIEKKATQgghToACOiGEEOIEKKATQgghToACOiGEEOIEKKATQgghToACOiGEEOIEKKATQgghToACOiGEEOIE/h9XfrJw+X/xCwAAAABJRU5ErkJggg==" ], "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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" ], "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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yitLj7RTLmzlzJlNZWcn88ssvbHIXCoWMXC5n91e8XLKjiRMnsvW5evUqI5FImD/++IM5cuQIk56ebqJWJKZQUVGh9N749ddfte6/dOlSdt9x48YxN2/eZG7dusU8+eST7ONLly5l9zc0oQNgXnvtNaampoY5dOiQ0hcGRZriM4xxfyOjR49mrl69yjQ0NDCXLl3Sr1EV62fwkYQQq6RrQm9oaGB7S5GRkQzDMEx+fj673/PPP8/G7NGjh9aYAJgJEyaw+7c/xufzmZqaGvbxQYMGsdvu3LnDPq4toScnJzMAGB6Px8yaNYt5++23mcOHDzN3797luumIid29e1fpPXPu3Dmt+yu+7y5cuMA+XlBQwD7+0EMPsY8bmtD9/f3Zu04yDMP4+voyABhnZ2elONoSuqF/IwCY8vLyzppOJyZZ+pVrcrkct2/fhoeHB92dipgMwzCor69HYGAg59fwW0piYqLGteJdXV0xe/Zs7Ny5E4WFhbhw4QI+/fRTdvvixYvZnxXXtNekqqpK5bFu3boprYGveBlSc3OzLk8BaWlpKC4uxtGjR5GVlcWuKsnn8zFjxgx8+umnKssQE+vk5+cHT09P9tz3pUuXEB0drXF/xfed4o2kFM9bq3tvMh2ulGhtbdVarz59+rB3nQTa3qfV1dV63STM0L8Rf39/9OzZU+dytLGJhH779m3OnjAhnfnjjz/w0EMPWboaZvHCCy9g586dAICMjAx8/vnnAIBHH30UgwYNYvcLCAjArVu3wOPxcOvWLXTv3l0lVscPUUC3m/9oexxou+b38OHDqK2txcWLF1FSUoKsrCz88MMP+Pzzz5GQkICZM2d2/mSJxfH5fEycOBGfffYZgLbJjs8++6zaL2Stra3s+w5om4jWfq8HxUvGAgIC2J+dnZ3R0tKiNFNcLpfjxo0bWuul6/tUG0P/RjTd3MkQNpHQPTw8AAAlJSXsz+YilUpx/PhxjB492qDV52yx7AfxOQNtt9Dt27ev2d9jlvTII49g8ODByM/Px/bt29mezAsvvKC03+TJk/H++++DYRgkJiZi69at6N27N6qrq/Gf//wHH330EWbNmoV58+YZVA9fX1/2Q/r8+fNK1x/v3r0bQNv95R955BEMGjQIpaWl+OGHHwAA5eXlBpVJLCMtLQ3ffPMNxGIxCgsLMWnSJKxduxYDBgyAWCzGf/7zH2zZsgXvvPMOEhIS2C+cr7/+Ovbs2QMej4fXX3+djZeQkMD+HBwcjCtXrqCqqgpnzpzBsGHD8O677+p0y25d+Pr6orq6GlVVVbh165bS/UNM/TeiE04G7k2srq6OAcDU1dWZvWyJRMIcOnSIkUgkD0zZD+JzZhiGqaqqstj7jEudnUMHlO8RsGvXLqVt7u7ujEgkUopZXV3NhIeHa42peP+F9sd0OZfJMAzz8ssvq8Rrn+27cOFCjWU6ODgwBQUF3DYgMbljx44xfn5+Wt9PBQUFTEVFBdOnTx+N+/Tp04eprKxk465fv57dxuPxGHd3dwZom0ne8X2neA6948xyTXM62idoKv5rn5PC1d+IMezjRCEhxGDPPvus0qjEzJkzVUYpfHx8cPbsWaxduxbR0dFwc3Nj79swduxYvP3220bdlyA9PR2zZ89GQECAynDnlClTMH36dISGhsLDwwMCgQB+fn6Ii4vDTz/9ZHWriZHOjR49GkVFRVi7di2GDRsGb29vODo6okePHhg9ejS2bt2KPn36wN/fH3l5eUhJScGAAQMgFArh7OyM/v37Y+XKlcjLy4Ofnx8bd/ny5UhJSUFQUBCcnJzQr18/HDp0CEOGDOGk3u+99x4mTpwIX19flW2m/hvRhU0s/SoSieDl5YW6ujp4enqatWypVIojR44gPj7eIsPPlij7QXzOQNva0n5+fhZ5nxFCiLGoh04IIYTYAUrohBBCiB2ghE4IIYTYAUrohBBCiB2ghE4IIYTYAUrohBBCiB2ghE4IIYTYAUrohBBCiB2ghE4IIYTYAUrohBBCiB2ghE4IIYTYAUrohBBCiB2ghE4IIYTYAUrohBBCiB1wsHQFCHmQXViyBPKmRvZ3p4AAhL+52SJ1WfFZNZok9++m7O/Jx6qpPpyWcfvg15zGUxQ4eYrJYhNiCyihE2JmBfMTAYZRu01y9y4KEucBADzHjEFo4nyT1iU5owrqawJUiuRIyqgCAAwf4IZnh7mYtC6EEOPQkDshZlJ9+3ZbstaQzDsSHTvGJneu3am4hyQtybyjM783sMmdEGKdKKETwgG5XI6oqCjEx8er3V6660OUr1xhUGyuk/q+kyJs+k5m0LHWntSvXbsGBwcH7Nixw9JVIcTsaMidEA5kZmaisLAQu3fvVtl27fx51J86pfX46L2fsD+rS+AFifOU9jFUYdEN5F331LrP1gV+7M/qEnhSRpXSPtakd+/emD17NtLT0zFnzhx4emp/ruZUd/48avPz0FhSAmltLeQtLXDs0gWuvULQbeJEuPTsaXBscbMcP15oRFllK27VtEL65/e1ob2dMXukB0fPwH5IJBKsXr0a//3vf/Hrr7+ivr4eABATE4Pc3FzLVs4I1EMnxEgymQxr1qxBTEwMhg4dqrK9/t13tB7vuexVncpRl+hjY2MRHBys0/EAsOeM9gS3cLhYpzjqEr2+dTGV5cuXo7KyEtu2bbN0VZRU/pSNmp9/RvPNm5CJxWCkUkgqKlB79gwup72BugsXDI5d2yDHid+bUVp5P5kTzRobG/Hmm28iNzeXTeb2gBI6IUY6cuQIysvLMXfuXJVtugyXizpJ+O38n56kb9WU6DJcvueMu06xnnzE2ai6mFJERASioqKwe/duyOVyg+OUl5frtX9B4jytrzdPIIDPqFHos2o1onZ/hP7/fBPuYWFtG2Uy3PnXAY3HJmVUaX39XJx4iBkgxNxR7hgXSZMXO+Po6IgXX3wRH3/8sdV98TMGDbkTYqTMzEzweDxMnTrV4BhtiYAHaJimxsVwu66SMqrAYwCGp367tQ63K5o+fTpSU1ORk5ODsWPH6n382bNnMWbMGKxevRorVhg296Gj4CUvQuByP9kKu3VD4MxncXVNOgCg+c4dg2P7eggwZVjbl7H/XG4yqp4PAjc3N3aexffff2/h2nCHeuiEGIFhGOTm5qJfv37w9vZW2par98Qs1WTOd3HhJJl/9HWefjVRk8yFjjybSOYAMGLECADAsWPHDDo+PDwcgwYNwsqVK7Fx40ZO6qSYzNvJJRL2Zycfbq/5Jw8e6qETYoSioiLU1NQgLi5OZZvX2TNGxeayV36xrpdRx9tKIm83ePBgAMDp06cNOt7d3R1Hjx5FfHw8UlJSwDAMUlJSuKwi5FIp7hz4kv3d70n9RxIIUUQJnRAj3Lx5EwAQEBDAXVAeD9GZe9U8rGEMXMO2kpISoyep8QBsUZPMLVEXfXh4eEAoFLKvj6Lg4GCUlZXpFS81NRXR0dHsF7f6oiJc26S+597xPPqAt96Gs7+/0mOypibc2LYVDdeuAQC6/OUx+P95aqD4jgTvfy9SG7vjefQ3pnWBr4dAr+dC7JdNJXSpVAqpVGr2MhX/fxDKfhCfs6FlVldXAwC6dOnCSR1CU1fBs29ftdvS0tJUHsvMzERtbS2Sk5NVtnU8BaCvV8a7IbS7+glW5q6LIXx8fFBVpTqRbNq0aWofV6ewsBAFBQXw9fVFSEgIJ/WS3ruHa2+/heY//gAA+I0eg4fmzdP6JYkQXdhUQv/xxx/h6upqkbKzs7MtUq4ly37QnnNjY2PnO3Xg8ud50aYmbiYiXV+/DoD64fb09HSVx3Jzc1FaWqp2m7G2fd8AoEHtcLu562KIpqYmtZ8Xb731lk7Hnzp1CnFxcfDz80NOTg7C2mekA/Do31/lNWrvmWs7VdJ08yauv/0WpDU1AI+H7lOnodvEiUr79OnupNLm7T1zWzv1QczLphL6uHHjzL5QhFQqRXZ2NsaOHQtHR8cHouwH8TkD93vb+vD/cyi1pqaG07oUJM5DyJat8OKo52+MpIwqpE92RBdvL0tXRWdyuRx1dXUIDw836Pj8/HyMHz8eQqEQOTk5iIyMNLpO9Zcvo2TrFsgaG8FzcMDDi56Hz5+T94wlZxg0trRNqpS03p9c2SpjIG5uu3RP6MiDg4BGAdq1j9KIRPdPb0ilUvZxV1dXi3UgDWVTCd3R0dHsH/IPctkP2nM2pLzw8HDw+XwUFxerbKsbNtyoiXE3kpMAcDM5bqBXiVET49IPSgFY7wpxHRUXF0Mul2PgwIEGHd+nTx/ExMRg48aNBsfo6H8Hv4bsz1EgprUVZR/sRNkHO5X2UXe+XRf3xHL841/3VB4/VyLBuZK2L5uzHnfHsD5CA2pun/zVtPPp06fZx9PS0qxmtElXdNkaIUbw9vZGZGQk8vPzwXS46Urs0qWclFGQOA+S5majYiyaMoSTuiRlVKG5xfzzG/R19uxZAG1LeRrCy8sLhw8f5iyZE2IONtVDJ8QaTZo0Cenp6cjLy1O79CsXLi1+QePsd3N7PasOgHWfz83OzoZAIMCECRPMVmZnIyl9Vhp+2Vtnbe3rIbDq18MadfwCbg+oh06IkRYtWgSBQIB9+/apbON0hTc1H0DtE9F0YeoPfH3qYkqNjY04dOgQJk6ciMDAQEtXhxCzoYROiJF69OiB6dOnIysrCw0NDSrbPV97jZNyuPhysGgENzeisObe4P79+yEWi7Fs2TJLV4UQs6KETggH1q9fD7FYjO3bt6tsC42Mgs/IkUbF56qnP7BfLwzr7WRUDGtO5q2trdiwYQMSEhIwatQoS1eHELOihE4IB3r16oW9e/fCzc1N7fagRc8jaNM/DYrN9Y1ZZo30xMoJhk2fseZkDrSt3Ddnzhy8845ud7AjxJ7QpDhCODJjxgyt2326d4fP3k9QMD9R7fnwjh6emADfadO4qp6Sbv7e2LoASM6o0nB/N2VP9HZHwkjrv+QpODjY5i41IoQrlNAJMTPFmeqFS1+ETOG8u3P37hhgYE/eEIrrtK/MqkJjy/1tXb0ESJ1i+YVtCCG6oYROiAVF7tjZ+U5msnGW6YfTAydPMXkZhDyo6Bw6IYQQYgcooRNCCCF2gBI6IYQQYgcooRNCCCF2gBI6IYQQYgcooRNCCCF2gBI6IYQQYgfoOnRCLOjCkiWQNzWyvzsFBCD8zc0WqcuKz6rRJLm/bpy/Jx+rpvpwWsbRc2JO4ymKe9TdZLEJsQWU0AkxM21Lv0ru3kVB4jwAgOeYMQhNnG/Sumhb+rVSJEdSRhUAYPgANzw7zMWkdSGEGIeG3Akxk+rbt9uStQ7ruAOA6NgxNrlz7U7FPSTpuI47AJz5vYFN7oQQ60QJnRAOyOVyREVFIT4+Xu320l0fonzlCoNic53U950UYdN3MoOOtfakfu3aNTg4OGDHjh2WrgohZkdD7oRwIDMzE4WFhdi9e7fKtmvnz6P+1CmtxyveIlVdAi9InMfJbVQLi24g77qn1n0Ub5GqLoEnZVRZ7W1Ue/fujdmzZyM9PR1z5syBp6f252pOUpEId7/9Nxpv3EBjWRkYqRQA4PP44wh6/gWjYl/6Q4ILZS0or2yFqEmOllYG3q58POzngLGRrgj0oY96bcaPH48ffviB/b2oqAj9+vWzYI0MQz10Qowkk8mwZs0axMTEYOjQoSrb69/Vfm9uz2Wv6lSOukQfGxuL4OBgnY4HgD1ntCe4hcN1m7SmLtHrWxdTWb58OSorK7Ft2zZLV0WJ9N49VP74IxquXWOTOVdOFjXhbHEL7tTK0NDCoFUGVNXLca5Egs3/rsXvNyWclmdPMjIylJK5LaOEToiRjhw5gvLycsydO1dlmy7D5aJOEn47/6cn6Vs1JboMl+85o9tM8ScfcTaqLqYUERGBqKgo7N69G3K53OA45eXleu1fkDhP6+stcHWF/7hxCFqyBAETE/SKnZRRpfX1E/CBYX2ckRzvhc1zfZE6pQtCA9p65XIGOPxrg8ZjH2S3b9/Gq6++Cj6fD6FQaOnqGI3GYQgxUmZmJng8HqZOnWpwjLZEwAM0TFPjYrhdV0kZVeAxAMNTv91ah9sVTZ8+HampqcjJycHYsWP1Pv7s2bMYM2YMVq9ejRUrDJv70JGzvz8emj0HAFB17BgnMdvNG+UBodP9/llXLwGeHuKGdw7XAQDu1hk2Z8LeLVmyBLW1tfjb3/6GAwcOoKyszNJVMgr10AkxAsMwyM3NRb9+/eDt7a20LVfviVmqyZzv4sJJMv/o6zz9aqImmQsdeTaRzAFgxIgRAIBjBibO8PBwDBo0CCtXrsTGjRu5rJpJKCbzdlKFHN7FjT7qO/rss8/w7bffom/fvvjHP/5h6epwgnrohBihqKgINTU1iIuLU9nmdfaMUbG57JVfrOtl1PG2ksjbDR48GABw+vRpg453d3fH0aNHER8fj5SUFDAMg5SUFC6raFKtMgbf5t8fZh/Zn9YQUHT37l0kJSWBz+fj448/houLfbQPJXRCjHDz5k0AQEBAAHdBeTxEZ+5V87CGMXAN20pKSoyepMYDsEVNMrdEXfTh4eEBoVDIvj6KgoOD9R5aTU1NRXR0NPvFrb6oCNc2qe+5dzyPPuCtt+Hs769zWcV3JHj/e5HabR3Po78xrQt8PQRKjzVL5NhzrB6lla0AgCGhzhjV3/bPD3Ppr3/9K6qrq5GcnIzHHnvM0tXhjM0k9BeiIlH57b8hcjbvZByZXA44CyHleFaqLtrLNHfZhpQrkUhQ8sZqSKvUT9zptnET/HT4ULPUcza0zOrqagBAly5dOKlDaOoqePbtq3ZbWlqaymOZmZmora1FcnKyyraOpwD09cp4N4R2V99zMXddDOHj44MqNe/HadOmqX1cncLCQhQUFMDX1xchISFcV5FzdY0yfPCjCLfvtY23PxYmxLQRblq/gD1o8vPz8dVXX8Hb2xuTJ09Gfn4+gLbPsHaXLl2CXC7HgAEDLFVNg/AYRsdlqyxIJBJh+aiRmDplChwdHc1f/oBws5dpK3p8dxiClha9jimbPMUqP2AaGxsxa9Ys1NXV6Xz98qFDhzB58mSkpKRg/fr1StuMWRBG1+H22NhYlJaWorS0VOt+xiwIo+twuy51Meda7j4+PnB2dsadO3cMinfq1CnExcXB2dkZOTk5iIyM1Lp/++uty2tXdewY/tib2VZPHa5Db3/9tL0Wd+614oNsEWob5OABeGqQK8ZGunZalwdNbm4uRo8e3el+UVFROH/+vOkrxCGb6aEDQGhoKJwt0EM/D2Ds2LFm/zIhlUqRnZ1t9rJ1KffGxo1ovH7NoPhBB78GAER8tMegsk2lvbetD/8/Rx1qamo4rUtB4jyEbNkKL456/sZIyqhC+mRHdPH2snRVdCaXy1FXV4fwcMO+jOfn52P8+PEQCoU6JXNdMHI5ZA1t57VlCl+C5dJWtNbXAwD4QiH4Brzvr/1Pio9yRGiSMBDwgdkjPTAoxHovLSSmYVMJnS8QgC8QdL6jCTg6OlpkdMCSZWsql6ulSH9btBD933sfQjW9YUs8Z0PKCw8PB5/PR3Fxscq2umHDjZoYdyM5CQA3k+MGepUYNTEu/aAUgPWuENdRcXEx5HI5Bg4caNDxffr0QUxMDDZu3GhwjI4k1dX4/W+vqTxee/YMav98nzy86Hn4jhypd+yjBQ3snfJkcuCTE/X45ES90j7qzrc/iGJjY6FuYFpxbgWtFEceCFyvK1708ku4fOQIpzHNydvbG5GRkcjPz1f5kIhdupSTMgoS50HS3GxUjEVThnBSl6SMKjS3mH9+g77Onj0LAIiJiTHoeC8vLxw+fJizZE6IOdhUD51Ylj7JXLFXyTAMzs9P1Lhv0xf7UT9oEDy4nCluRpMmTUJ6ejry8vLULv3KhUuLX9A4+93cXs9qW6zEmnvr2dnZEAgEmDBhgtnK7Gwkxdnf3+DRls7a+uU4b4Pikvs6m4diC6iHTnSiTzL3HjJY6Xcejwc4aP/ueO3vyw2qlzVYtGgRBAIB9u3bp7KN0xXe1AwT5ubm6vxBZOoErE9dTKmxsRGHDh3CxIkTERgYaOnqEGI2lNBJpy69p99NLiTD/6LyWN/UVZ0e99uyZL3KsRY9evTA9OnTkZWVhYYG1TWzPV9TPW9qCC6+HCwaUd/5Tjqw5t75/v37IRaLsWzZMktXhRCzooROOiX58zpNXTWq+QJw9R9rOj0u4t0tepVjTdavXw+xWIzt27erbAuNjIKPAROdFHHV0x/YrxeG9XYyKoY1J/PW1lZs2LABCQkJGDVqlKWrQ4hZUUInWv3xqWGJ5MqadPbny6tWqR0uVmTOm4+YQq9evbB37164ubmp3R606HkEbfqnQbG5bptZIz2xcoJh02esOZkDbSv3zZkzB++8o9sd7AixJzQpjmhV9dNPBh3XeOOGTufdXXr1Qr/0znvvtmDGjBlat/t07w6fvZ+gYH5ip19wAODhiQnwnTaNq+op6ebvja0LgOSMKg33d1P2RG93JIy0/uVDg4ODkZ6ebulqEGIRlNCJxdh6r9xQijPVC5e+yC42AgDO3btjgIE9eUMortO+MqsKjQqL/nX1EiB1iuUXtiGE6IYSOtHouoG98045OCB6z8emiW1jInfstHQVWBtnmX44vePyrIQQ7lBCJxpJTbDgS+SejyHo5BI2Qggh+qNPVqJRq6iOu2BWsigKIYTYK0roRKOC4P/jJE6/Qb3xl4RhnMQihBCiHiV0otEFjhL6hWrgiwzbubEHIYTYIroOnWjk6cLtPcuTMqqQ85/znMYkhBDShhI60SgmRMx5zH8XP4TkjCrO4xJCyIOOEjrRKCbaNDe2YNDWWz/zOyV2QgjhCp1DJxbz+Vng87MP9rn1C0uWQN7UyP7uFBCA8Dc3c1rG7YNfcxpPUeDkKSaLbawVn1WjSXJ/HTx/Tz5WTfXhtIyj57gfxWpH1+wTfVFCJ1qN6i/EyaJmk5aRlFGFOdFVGPJIP5OWYy20Lf0quXuXXTLXc8wYhCbON2PNbJ+2pWwrRXIk/Xm6Z/gANzw7zMV8FSPEDGjInWg1dbh5egn7Cvyw/usas5RlCnK5HFFRUYiPj9e4T/Xt223JWod13AFAdOyYXveht6Rr167BwcEBO3bs4Dy2Lm17p+IeknRclx4AzvzewCZ3a2fKtiX2hRI66VRkoMQs5VTWyc1SjilkZmaisLBQ441BSnd9iPKVKwyKbQtJvXfv3pg9ezbS09MhEok4jd1Z2+47KcKm72QGxbaFpG7KtiX2hRI66dTC/zPN5LiOttjouXSZTIY1a9YgJiYGQ4cOVdl+7fx53Dt1SmuM6L2fsP/UsYWkvnz5clRWVmLbtm2cxeysbQuLbiDvuvYvnFsX+LH/1LGFpG6KtuWKVCTCzX2f4tJrr+L8wudw8aW/ouT999BUXm507PomOb46I8aaAzV4dW8VUj+vRsZxEW7VtBodWywWY9WqVQgLC4NQKISPjw/i4+Px888/Gx3bUiihE52YeuLaqkmuJo1vSkeOHEF5eTnmzp2rdnv9u9rvze257FWdylGX1GNjYxEcHKzT8aYWERGBqKgo7N69G3K59tEWXevdWdvuOeOp9fiFw3WbtKYuqdtq25qTtLYWV9ekozI7G5KqKjCtrWitr0dtXh6urP0H6i9fNjh2XaMc7xyuxcmiZtSI5ZDJAXEzg/OlErx7uBbX/ic1OHZDQwNGjRqF9evX4+rVq2hpacG9e/dw9OhRxMbGYv/+/QbHtiRK6ERnpkrqEwY0wL+L7Sb0zMxM8Hg8TJ06VWWbLj1rUScJv53/05P0rZrZTZ8+HeXl5cjJyeEknra21aVnveeMbnNAnnzEWe+6mZuxbVtuQI+5IHGe1vfwzazPIKlqex38x/0fBm7fgaAlLwI8HhiJBOW7d4GRqT8dkpRRpfU1PPhfMWrEbV9eYgYIsWGWD+bFeIDHA6Qy4LOf6yGT6zprQtnatWtRUFAAoK1dKyoq8NNPP8HV1RVyuRyLFy9GTY3tzemhhE70wnVSXz/DE2OHBXEa05wYhkFubi769esHb29vg+O0fXAmavzwjN77CR6aYr2XiLUbMWIEAODYsWNGx+KqbZMyqpD8sebksXWBHyZGexgc31yMaduzZ8+if//+2LRpE2f1aW1oQG1+PgCA5+iIwGeegYO7O3xGjIB7WNsVK5KqKoh++03v2I0tclwobTuV4igAJg5yg5szH4NCnBEa4AgAqBHLceW2/r10hmHw8cf3b9/85ptvwt/fH0888QSmT58OABCJRPjiiy/0jm1plNCJ3rYu8EPvbsZf8bh1gR/cXZ04qJHlFBUVoaamBo8++qjKtly9ZyWr9jb4Li4az6tbo8GDBwMATp8+bXQsbW370dd5esVi1KxiLHTk2dQaCMa0bXh4OAYNGoSVK1di48aNnNSnqawM+LP37RzQDXyn+3/LLj0fYn9uvH5d79g3q1vR3vn28xTA0eH+CxjYRcD+XFqpf0IvKSlBZWUlAMDDwwNBQfc7FAMHDmR/PnPmjN6xLY2uQycGeTnOGwCwen81RE36DXttme8LHo/bdeIt5ebNmwCAgIAAlW1eZ437QLClRN7Ow8MDQqGQbRdjaGvbi3W9jIptS4m8nTFt6+7ujqNHjyI+Ph4pKSlgGAYpKSlG1Udad//2ygJX5VNmfJf71/hLDbgNc33z/c8UVyflzwqhwu/1en72AMDdu3fZnzuO/Hh5eandz1bYVEKXy2SQazgfYyqyPyegSKWGT8AwVHuZ5i5bn3LfmNo2KUkikeDtIy2oFqufsLMyTgZf37ZVulpbNc9QtdRzNrTM6upqAECXLl24q4iGe8dr+xKkbltJSYlFJnX5+Pigqur+8Lah9TZF2/Kg/moKW21bAAgODkZZWZlecVJTUxEdHY24uDj2sfqiIlzbpL733vFU0IC33u6wB6PxVx54KL4jwfvfq7/kruOpkDemKb/eKilbKbZxmA5rQij+boudDptJ6LsuFCKWL4Cro/mHaG80PoQPvykye7kAEOIKZGdnW6RsfcuNcgKgYWXNs2dNWzYXGhsbO9+pA5c/eyJNTU2c1CE0dRU8+/ZVuy0tLU3lsczMTNTW1iI5OVllmzHnnY3R1NQEV4Uem6H15rptXxnvhtDu6leHs9W2BYBp06apJHlNCgsLUVBQAF9fX4SEhBhVF0eF3qysw9+OTGE5Ywcv7VciqOMhvJ9Mm1qUk26T9P7vHgbcEVJxxKe2tlZpW53CqIO6kSFrZzMJHQDGjRsHT0/93xzGkEql+PCbIoSGhIAvEHR+AIfkMhmY/93E2LFj4ejoaLZypVIpsrOzzV6upctu7xHqw9/fHwA4mxF7ff06AOqH29UtrJKbm4vS0lKNi66Ym1wuR11dHcLDw9nHDK0312277fsGAA1qh9tttW0B4K233tLp+FOnTiEuLg5+fn7IyclBWFiY0naP/v1V3nftPXN170cHNzfwBAIwMhla7t6FXCJhz6M3K5wWcA0JRffuTirt3t4zV/d6uDrzIOADMjlQVS+DtJVhz6PfuXd/hC/IX//PiJCQEHTt2hUVFRUQi8UoKytjz6NfvHiR3W/YsGF6x7Y0m0rojo6OZv+Qb8cXCCDgm38OoQyWe96WbG9LlG1IeeHh4eDz+SguLua0LgWJ8xCyZSu8uBzKN4Pi4mLI5XKlyUWGMlXbJmVUIX2yI7p4e3W+sxUxpm3z8/Mxfvx4CIVC5OTkIDIy0uj6CFxd4TV4CGrPngEjleL2gQPoNmkS6i9ehPjKFQCAk58fPCMi9I7t4sRHVJATzpVIIJUB3/7agPGPuOLyLSmu321L6D7ufIQFGvYZ8dxzz7Ez/v/+979j+/btuHDhAg4cOAAA8PT0xIwZMwyKbUk0y50QI3h7eyMyMhL5+fkq5+Pqhg03KvaN5CSbWCFO0dk/z63ExMQYHUtb2w70KjEqdvpBqU2sEKfImLbt06cPYmJicOzYMU6SebuHZs2Ck19bD7vyxx9wcemLKN25A2AY8Jyc8PDzL4Bn4MjmpKHu8HFvS1Enfm/Gyqwa7D1RD4Zpu5Rt9kgPCPiGnedetWoVoqOjAQBffvkl/P398eSTT6KxsRF8Ph8ffvghfHy4vTOfOVBCJ8RIkyZNQl1dHfLylC+lil26lJP4BYnzIGk27R3vuJKdnQ2BQIAJEyZwEk9T2y6aMoST+EkZVWhuMf8ETEMY07ZeXl44fPgwJyMnihy9vdE3LR1+Tz4JJz8/8AQCOHh4wHvwEIStfgMe/Qy/g6KXKx+vTvDGyP5C+LjzIeADbs48RAU5YdkEb/TuZvgInpubG06cOIHU1FT06dMHTk5O8Pb2xvjx43H8+HHMnDnT4NiWZFND7oRYo0WLFmHt2rXYt2+f2vXGuXBp8QsaZ79bi8bGRhw6dAgTJ05EYCA36/+bo21fz2qbCGXNl7KZom11oculk46enug5dx4wV7/RJF3a28OFj2nD3THNuMEu9bE9PLBu3TqsW7eO++AWQj10QozUo0cPTJ8+HVlZWWhoaFDaxum15Gpuu9o+ccsa7N+/H2KxGMuWLet0X13rra1tTZ2AbbVtyYOLEjohHFi/fj3EYjG2b9+uss3ztdc4KcOaF5ppbW3Fhg0bkJCQgFGjRnEaW1vbLhpRz0kZ1tw7N2XbEvtCCZ0QDvTq1Qt79+6Fm5ubyrbQyCj4jBxpVHxrTuZA26puc+bMwTvv6HajGX1oa9uB/XphWG/j1qaw5mQOmLZtiX2hc+iEcETbZS5Bi56Hx1MTULbidb3jWnsyB9pWKzPl9dra2nbWSE+M6VeLjYf1v0e2tSdzwPRtS+wH9dAJMROf7t3bkrOOS0o+PDHBJpK5Nejm742tC/x0Xgr0id7uNpHMCdEH9dAJMTPFmeqFS1+ETGGyl3P37hiw6Z+WqJZdUFynfWVWFRpb7m/r6iVA6hTbWqiHEH1QQifEgiJ37DR5GYGTrf8+6qawcZbpe+Bxj7qbvAxCdEVD7oQQQogdoIROCCGE2AFK6IQQQogdoIROCCGE2AFK6IQQQogdoIROCCGE2AFK6IQQQogdoOvQCbGgC0uWQN7UyP7uFBCA8Dc3c1rG0XNiTuMpsubrsFd8Vo0myf071Pl78rFqqg+nZdw++DWn8RQ9qOsHEMNRQifEzArmJ6q9FSoASO7eRUFi232lPceMQWjifDPWzPYlZ1RBfcsClSI5kjKqAADDB7jh2WEu5qsYIWZAQ+6EcEAulyMqKgrx8fEa96m+fbstWWtI5h2Jjh1jk7u1u3btGhwcHLBjxw7OY+vStncq7iFJSzLv6MzvDWxyt3ambFtiXyihE8KBzMxMFBYWarwrVumuD1G+coVBsW0hqffu3RuzZ89Geno6RCIRp7E7a9t9J0XY9J3MoNi2kNRN2bbEvlBCJ8RIMpkMa9asQUxMDIYOHaqy/dr587h36pTWGNF7P2H/qWMLSX358uWorKzEtm3bOIvZWdsWFt1A3nWJ1hhbF/ix/9SxhaRuirblilQkws19n+LSa6/i/MLncPGlv6Lk/ffQVF5udOz6Jjm+OiPGmgM1eHVvFVI/r0bGcRFu1eh/q9yOxGIxVq1ahbCwMAiFQvj4+CA+Ph4///yz0bEthRI6IUY6cuQIysvLMXfuXLXb6999R+vxnste1akcdUk9NjYWwcHBOh1vahEREYiKisLu3bshl8u17qtrvTtr2z1nPLUev3C4bhMC1SV1W21bc5LW1uLqmnRUZmdDUlUFprUVrfX1qM3Lw5W1/0D95csGx65rlOOdw7U4WdSMGrEcMjkgbmZwvlSCdw/X4tr/pAbHbmhowKhRo7B+/XpcvXoVLS0tuHfvHo4ePYrY2Fjs37/f4NiWRAmdECNlZmaCx+Nh6tSpKtt06VmLOkn47fyfnqRv1cxu+vTpKC8vR05ODifxtLWtLj3rPWd0m4X/5CPOetfN3Ixt23IDeswFifO0vodvZn0GSVXb6+A/7v8wcPsOBC15EeDxwEgkKN+9C4xM/emQpIwqra/hwf+KUSNu+/ISM0CIDbN8MC/GAzweIJUBn/1cD5lc11kTytauXYuCggIAbe1aUVGBn376Ca6urpDL5Vi8eDFqamoMim1JlNAJMQLDMMjNzUW/fv3g7e1tcJy2D85EjR+e0Xs/wUNTrP8yphEjRgAAjh07ZnQsrto2KaMKyR9rTh5bF/hhYrSHwfHNxZi2PXv2LPr3749NmzZxVp/WhgbU5ucDAHiOjgh85hk4uLvDZ8QIuIf1AwBIqqog+u03vWM3tshxobTtVIqjAJg4yA1uznwMCnFGaIAjAKBGLMeV2/r30hmGwccff8z+/uabb8Lf3x9PPPEEpk+fDgAQiUT44osv9I5taZTQCTFCUVERampq8Oijj6psy9V7VrJqb4Pv4qLxvLo1Gjx4MADg9OnTRsfS1rYffZ2nVyyGp/qY0JGn8by6NTKmbcPDwzFo0CCsXLkSGzdu5KQ+TWVlwJ+9b+eAbuA7ObHbXHo+xP7ceP263rFvVreivfPt5ymAo8P9FzCwi4D9ubRS/4ReUlKCyspKAICHhweCgoLYbQMHDmR/PnPmjN6xLY2uQyfECDdv3gQABAQEqGzzOmvcB4ItJfJ2Hh4eEAqFbLsYQ1vbXqzrZVRsW0rk7YxpW3d3dxw9ehTx8fFISUkBwzBISUkxqj7Sujr2Z4Grq9I2vsv9a/ylojroq775/pdbVyflb2NChd/rm/Qfcr979y77c8eRHy8vL7X72QqbSuhSqRRSqeETIQwtEwDkGs4DmVJ7mZZ6zuYu11rK1kd1dTUAoEuXLtxVhMdDdOZeNQ+r6WZq2VZSUmKRSV0+Pj6oqro/vG1ovU3RtjwAW9Qkc1ttWwAIDg5GWVmZXnFSU1MRHR2NuLg49rH6oiJc26S+997xVNCAt97usAej8VceeCi+I8H736u/5K7jqZA3pim/3iopWym2cZgOa0Io/q7tPWGtbCqh//jjj3Dt8E3QHEJcAeZ/N2H+lN4mOzv7gSrXUmU3NjZ2vlMHLn/2RJqamjipQ2jqKnj27at2W1pamspjmZmZqK2tRXJysso2Y847G6OpqUnp79TQenPdtq+Md0Nod/Wrw9lq2wLAtGnTVJK8JoWFhSgoKICvry9CQkKMqoujQm9W1uFvR6awnLGDl/YrEdTxEN5Ppk0tykm3SXr/dw8X/ZOu4ohPbW2t0rY6hVEHdSND1s6mEvq4cePg6an/m8MYUqkU2dnZGDt2LBwdHR+Ish/E5wzc723rw9/fHwA4mxF7ff06AOqH29UtrJKbm4vS0lKNi66Ym1wuR11dHcLDw9nHDK0312277fsGAA1qh9tttW0B4K233tLp+FOnTiEuLg5+fn7IyclBWFiY0naP/v1V3nftPXN170cHNzfwBAIwMhla7t6FXCJhz6M3K5wWcA0JRffuTirt3t4zV/d6uDrzIOADMjlQVS+DtJVhz6PfuXf/GvQgf/0/I0JCQtC1a1dUVFRALBajrKyMPY9+8eJFdr9hw4bpHdvSbCqhOzo6mv1D/kEu+0F7zoaUFx4eDj6fj+LiYk7rUpA4DyFbtsKLy6F8MyguLoZcLleaXGQoU7VtUkYV0ic7oou3V+c7WxFj2jY/Px/jx4+HUChETk4OIiMjja6PwNUVXoOHoPbsGTBSKW4fOIBukyah/uJFiK9cAQA4+fnBMyJC79guTnxEBTnhXIkEUhnw7a8NGP+IKy7fkuL63baE7uPOR1igYZ8Rzz33HDvj/+9//zu2b9+OCxcu4MCBAwAAT09PzJgxw6DYlkSz3Akxgre3NyIjI5Gfn69yPq5u2HCjYt9ITrKJFeIUnT17FgAQExNjdCxtbTvQq8So2OkHpTaxQpwiY9q2T58+iImJwbFjxzhJ5u0emjULTn5tPezKH3/AxaUvonTnDoBhwHNywsPPvwCeQNBJFPUmDXWHj3tbijrxezNWZtVg74l6MEzbpWyzR3pAwDfsPPeqVasQHR0NAPjyyy/h7++PJ598Eo2NjeDz+fjwww/h48PtnfnMgRI6IUaaNGkS6urqkJenfClV7NKlnMQvSJwHSXMzJ7FMLTs7GwKBABMmTOAknqa2XTRlCCfxkzKq0Nxi/gmYhjCmbb28vHD48GFORk4UOXp7o29aOvyefBJOfn7gCQRw8PCA9+AhCFv9Bjz69TM4tpcrH69O8MbI/kL4uPMh4ANuzjxEBTlh2QRv9O5m+Aiem5sbTpw4gdTUVPTp0wdOTk7w9vbG+PHjcfz4ccycOdPg2JZkU0PuhFijRYsWYe3atdi3b5/a9ca5cGnxCxpnv1uLxsZGHDp0CBMnTkRgYCAnMc3Rtq9ntU2EsuZL2UzRtrrQ5dJJR09P9Jw7D5ir32iSLu3t4cLHtOHumGbcYJf62B4eWLduHdatW8d9cAuhHjohRurRowemT5+OrKwsNDQ0KG3j9FpyNbddbZ+4ZQ32798PsViMZcuWdbqvrvXW1ramTsC22rbkwUUJnRAOrF+/HmKxGNu3b1fZ5vnaa5yUYc0LzbS2tmLDhg1ISEjAqFGjOI2trW0XjajnpAxr7p2bsm2JfaGETggHevXqhb1798LNzU1lW2hkFHxGjjQqvjUnc6BtVbc5c+bgnXd0u9GMPrS17cB+vTCst5Oao3RnzckcMG3bEvtC59AJ4Yi2y1yCFj0Pj6cmoGzF63rHtfZkDrStVmbK67W1te2skZ4Y068WGw/rf49sa0/mgOnbltgP6qETYiY+3bu3JWcdl5R8eGKCTSRza9DN3xtbF/jpvBToE73dbSKZE6IP6qETYmaKM9ULl74ImcJkL+fu3TFg0z8tUS27oLhO+8qsKjS23N/W1UuA1Cm2tVAPIfqghE6IBUXu2GnyMuIedTd5GdZo4yzT98ADJ1v/PerJg4OG3AkhhBA7QAmdEEIIsQOU0AkhhBA7QAmdEEIIsQOU0AkhhBA7QAmdEEIIsQOU0AkhhBA7QAmdEEIIsQOU0AkhhBA7QAmdEEIIsQOU0AkhhBA7QAmdEEIIsQOU0AkhhBA7QAmdEEIIsQOU0AkhhBA7QAmdEEIIsQOU0AkhhBA74GDpCuiCYRgAgEgkMnvZUqkUjY2NEIlEcHR0fCDKfhCfMwDU19cDuP9+I4QQW2ITCb39g7Znz54Wrgl5ENTX18PLy8vS1SCEEL3wGBvojsjlcty+fRseHh7g8XiWrg6xUwzDoL6+HoGBgeDz6WwUIcS22ERCJ4QQQoh21A0hhBBC7AAldEIIIcQOUEInhBBC7AAldEIIIcQOUEInhBBC7AAldEIIIcQOUEInhBBC7AAldEIIIcQOUEInhBBC7AAldEIIIcQOUEInhBBC7AAldEIIIcQOUEInhBBC7AAldEIIIcQOUEInhBBC7AAldEIIIcQOUEInhBBC7AAldEIIIcQOUEInhBBC7MD/A0EkQImAGcsxAAAAAElFTkSuQmCC" ], "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>"}
[ 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 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>"}
[ 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>"}
[ 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>"}
[ 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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qqop59dVXFba3ki9v+vTpTFlZGfPnn3+ywV0oFDIymYzdX/5yyfYmTJjA1ufq1auMWCxmbt68yRw6dIhJTk42UisSY7h3757CZ+Ovv/7SuP/ixYvZfceOHcuUlpYyt27dYp588kl2++LFi9n99Q3oAJjXXnuNqaysZA4cOKDwg0GeuvwZxrC/kccff5y5evUqU1dXx1y4cEG3RpWvn95HEkIskrYBva6uju0thYWFMQzDMLm5uex+L7zwAptnQECAxjwBMOPHj2f3b93G5/OZyspKdntkZCSbdufOHXa7poC+dOlSBgDD4/GYGTNmMO+//z5z8OBB5u7du1w3HTGyu3fvKnxmTp8+rXF/+c/d2bNn2e15eXns9m7durHb9Q3ovr6+7F0nGYZhvL29GQCMo6OjQj6aArq+fyMAmJKSko6aTitGWfqVazKZDLdv34abmxvdnYoYDcMwqK2thb+/P+fX8JtLQkKC2rXinZ2dMXPmTOzcuRP5+fk4e/YsvvzySzZ94cKF7GP5Ne3VKS8vV9rWpUsXhTXw5S9Damxs1OYlYM2aNSgoKMDhw4eRnp7OrirJ5/Mxbdo0fPnll0rLEBPL5OPjA3d3d/bc94ULFxAREaF2f/nPnfyNpOTPW6v6bDLtrpRobm7WWK/evXuzd50EWj6nFRUVOt0kTN+/EV9fX3Tv3l3rcjSxioB++/Ztzl4wMZ4fJ01CgJuryrTIL74EozLF8ty8eRPdunUzdzVMYsGCBdi5cycAIDU1FV9//TUAYNCgQYiMjGT38/Pzw61bt8Dj8XDr1i107dpVKa/2X6KAdjf/0bQdaLnm9+DBg6iqqsK5c+dQWFiI9PR0/PLLL/j6668RFxeH6dOnd/xiidnx+XxMmDABX331FYCWyY7PPvusyh9kzc3N7OcOaJmI1nqvB/lLxvz8/NjHjo6OaGpqUpgpLpPJcOPGDY310vZzqom+fyPqbu6kD6sI6G5ubgCAwsJC9rGpSCQSHDt2DI8//rheq89ZY9m6lFv69luQ/TNjVZO/5rStf9/9/Q/U/sGYs70rKyvRp08fk3/GzOnhhx/G4MGDkZubi+3bt7M9mQULFijsN2nSJHz88cdgGAYJCQnYunUrevXqhYqKCvzxxx/4/PPPMWPGDMyZM0evenh7e7Nf0mfOnFG4/njXrl0AWu4v//DDDyMyMhJFRUX45ZdfAAAlJSV6lUnMY82aNfjhhx8gEomQn5+PiRMnYu3atRgwYABEIhH++OMPbNmyBR988AHi4uLYH5xvvvkmdu/eDR6PhzfffJPNLy4ujn0cFBSEK1euoLy8HKdOnUJUVBQ+/PBDrW7ZrQ1vb29UVFSgvLwct27dUrh/iLH/RrRhFQG99cvfy8sL7u7uJi1bIpHA2dkZ3t7eZgno5ihbm3Kvrl2LumsFeuV/87WWO41F7PlCKc2c7d3Klk7r7NmzB3v27FHaXlhYyA5bLliwALm5uWwwd3V1xYwZMxT2T0lJwbFjx3DhwgVkZGRgwIABSnka0kt+5JFH2DvPtQ7BRkdHIysrC9nZ2WqXhrazs1O67I5Ytt69e+O///0vpk6divLychw8eBAHDx5UuW9KSgp+/fVXFBQU4Oeff1YIoK15yS+iNGfOHKxatQpAy2fKxcUFIpEIzs7OnNx98pFHHsGPP/6Iuro6dhSv9bSWsf9GtGEbJwqJSeUlzNE7mLfPp7HddaTE9J599lmFUYnp06crjVJ4eXkhOzsba9euRUREBFxcXNj7NowZMwbvv/++QfclSE5OxsyZM+Hn56f0g2ry5MmYOnUqgoOD4ebmBoFAAB8fH8TExODXX3+1uNXESMcef/xxXLp0CWvXrkVUVBQ8PT1hb2+PgIAAPP7449i6dSt69+4NX19f5OTkICkpCQMGDIBQKISjoyP69++PxMRE5OTkwMfHh813xYoVSEpKQmBgIBwcHNCvXz8cOHAAQ4YM4aTeH330ESZMmABvb2+lNGP/jWjDKpZ+rampgYeHB6qrq83SQz906BBiY2PN0kM3R9mays1L4H64yGnadPT7ZzEFc7Z3RUUFfHx8zPI5I4QQQ1nFkDuxDLoEc/nhdIZhcGZugtp9G/69D7WRkXCTm9xCCCFENzTkTrSiSzD3HDJY4TmPxwPsNP92vPbGCr3qRQghpAUFdNKhCx9t02l/8bBHlLb1WbW6w+POL1uqUzmEEELaUEAnHRLn5uq0f72KHwBX/1f97TxbhX64RadyCCGEtKGATjS6+aXypWXauJKSzD6+vHo10MHcS1WXsBFCCNEeTYojGpX/+qtex9XfuKHVeXenHj3QL7nj3jshhBDNKKATs6FeOSGEcIeG3Ila1/XsnXfIzo6COSGEcIx66EQtyaFDnOcZtvtfEHRwCRshhBDd0TcrUau5ppq7zHg8RKQprylOCCGEGxTQiVp5Qf/DST79InvhkbgoTvIihBCiGgV0otZZjgL62Qrg36nl2DrPp+OdCSGE6IUmxRG13J24vY3oktRyZP5xhtM8CSGEtKCATtSK7iniPM//FnTD0tRyzvMlhJAHHQ25E7WiI/zx4wUOJ8b9g0FLb/3ZKGDYgAd7GP7sokWQNdSzzx38/BDy3iaz1GXlVxVoELet6OfrzsfqKV6clnF7/384zU+e/6TJRsubEGtAAZ2YzdfZwNfZD9659by5CWqXwhXfvcuusOc+ejSCE+YatS5LU8uhblHeshoZlvwzmjJsgAuejXIyal0IIYahIXei0cj+QqOXsSS1HDlnLhu9HHOruH27JVh3sK59q5qjR3W6ba0u7ty7jyUagnl7py7WscGdEGKZKKATjaYMczVJOXvzfLDuP5UmKcsYZDIZwsPDERsbqzK96LNPUZK4Uq+8uQ7qe4/XYONPUr2OtfSgfu3aNdjZ2WHHjh3mrgohJkdD7qRDYf5i5N92MHo5ZdUyo5dhLGlpacjPz8euXbuU0q6dOYPaEyc0Hi+/FK6qAJ6XMIeT5XLzL91AznV3jfvInwJRFcCXWPAliL169cLMmTORnJyMWbNmwd1d82s1peozZ1CVm4P6wkJIqqoga2qCfadOcO7RE10mTIBT9+565y1qlOHI2XoUlzXjVmUzJP/8XhvayxEzR7hx9Apsw+nTp/HOO+8gPz8fZWVlqKurg4eHB0JDQzFr1izMnz8fPB63V/iYCvXQSYee/x9/k5SzxUKDREekUilSUlIQHR2NoUOHKqXXfviBxuPdly3XqhxVgX7UqFEICgrS6ngA2H1Kc4B7fph2VzaoCvS61sVYVqxYgbKyMmzbts3cVVFQ9msGKn//HY2lpZCKRGAkEojv3UNV9ilcXvM2qs+e1TvvqjoZfrvYiKKytmBOVLt48SL279+P69evo6amBlKpFJWVlTh+/DgWLFiA119/3dxV1BsFdKIVY/fIVk90Nmr+xnTo0CGUlJRg9uzZSmnaDJfXdBDwW/k+PVHXqinQZrh89yntTrE8+bCjQXUxptDQUISHh2PXrl2QyfQf9SkpKdFp/7yEORrfb55AAK+RI9F79VsI3/U5+r/7Hlz79m1JlEpx57tv1R67JLVc4/vn5MBD9AAhZo90xdgwmryoSXBwMD755BMUFBSgoaEBpaWlSEhIYNN3795txtoZhobcida2zvMxyjnU8QPq4NvJOnvnQMtwO4/Hw5QpU/TOoyUQ8AA109RMeXe6Janl4DEAo2bU0VKH2+VNnToVq1atQmZmJsaMGaPz8dnZ2Rg9ejTeeustrFyp39yH9oIWvQiBU1uwFXbpAv/pz+JqSjIAoPHOHb3z9nYTYHJUy4+xPy43GFRPWzd8+HAMHz6cfR4QEIDly5djz56We004OBj/9KKxUA+d6ITrL/N109wxJiqQ0zxNiWEYZGVloV+/fvD09FRIy9J5YpZyMOc7OXESzD//T45uNVERzIX2PKsI5gDYL+yjR4/qdXxISAgiIyORmJiIDRs2cFIn+WDeSiYWs48dvLi95p90TCaT4ebNm/jgg7ZRsuXLtTsFZomoh050tnWeDz46XIVrfzcbnI+1u3TpEiorKxETE6OU5pF9yqC8ueyVn6vuYdDx1vZeDR48GABw8uRJvY53dXXF4cOHERsbi6SkJDAMg6SkJC6rCJlEgjvffsM+93lS95EEor9hw4YhOzubfW5nZ4f33nsPy5YtM2OtDEMBnejllRhPAMBb+ypQ06Dt1cwttsz1ttpZpO2VlpYCAPz8/LjLVM2tZjW1maq0wsJCgyep8aB6sqI56qILNzc3CIVC9v2RFxQUhOLiYp3yW7VqFSIiItgfbrWXLuHaRtU99/bn0Qdsfh+Ovr4K26QNDbixbSvqrl0DAHR65FH4/nNqoOCOGB//XKMy7/anvN6O7wRvN4FOr4Wo1tzcjOXLl0MikeCNN94wd3X0YlUBXSKRQCKRmLxM+f8fhLJ1KfftKS2zpsViMd4/1IQKkepJSIkxUnh7twwpNjer79lbQnvroqKiAgDQqVMnTuoQvGo13Pv0UZm2Zs0apW1paWmoqqrC0qVLldLanwLQ1avjXBDcVfUEK1PXRR9eXl4oL1ee8xEfH69yuyr5+fnIy8uDt7c3evbsyUm9JPfv49r7m9F48yYAwOfx0eg2Z47N/Mi1FqdOnYJUKsXff/+N3bt3s5/p1atXY968efBt9yPMGvAYRstlq8yopqYGHh4eSE9Ph7Oz9c6GtibuFy+YreyaASFmKbe+vh4zZsxAdXW11tcvHzhwAJMmTUJSUhLWrVunkGbIgjDaDrePGjUKRUVFKCoq0rifIZMZtR1u16YuplzL3cvLC46Ojrij52SzEydOICYmBo6OjsjMzERYWJjG/Vvfb03vXUNpKa6/vxmSykqAx0PXKfHoMmFCh3Vpff+0eS/+uNyAb/+sA0DXoevC09MT1dUt9644deoUoqKizFwj3VlVD33s2LEmXyhCIpEgIyMDY8aMgb29/QNRtkQiQfbFC+gZHAwB37TzJqUyGc4AZmnv1t62Llp/xVdWcrvKXV7CHPTcshUeHPX8DbEktRzJk+zRydPD3FXRmkwmQ3V1NUJC9PtxmJubi3HjxkEoFGoVzLVRe/kyCrdugbS+Hjw7Ozw0/wV4yc22NoSMYVDf1NI3Eze39dGapQxEjS2jZkJ7HuwENAqwdOlSjBgxApGRkfD390dlZSV2797NBnOBQIAePQybc2IuVhXQ7e3tTf4l/yCXLeDzwReY5/ycOV6zPuWFhISAz+ejoKBAKa06aphBE+NuLF0CgJvJcQM9Cg2aGJe8XwLAcleIa6+goAAymQwDBw7U6/jevXsjOjoaGzZs0DuP9v7e/x9I61vurMc0N6P4k50o/mSnwj6qzrdr475Ihv/97r7S9tOFYpwubPmxOeMxV0T1Nv69GSzdgQMHsHXrVrXpiYmJ6Ny5swlrxB26bI0QA3h6eiIsLAy5ublof/Zq1OLFnJSRlzAH4sZGg/KYP3kIJ3VZklqOxibTz2/QVevs5ejoaL2O9/DwwMGDBzkL5sRyLFq0CKNGjULXrl3h4OAABwcHdO/eHZMmTcLBgwexdu1ac1dRb1bVQyfEEk2cOBHJycnIyclRufQrFy4sXKB29rupvZneMjRpyb31jIwMCAQCjB8/3mRldjSS0jtR/8veOmprbzeBRb8flmTlypWcLRZkaaiHToiB5s+fD4FAgL179yqlcbrCm4r5q1lZWR1OiGtl7C98XepiTPX19Thw4AAmTJgAf3/T3IeAEEtAAZ0QAwUEBGDq1KlIT09HXV2dUrr7a69xUg4XPw7mD6/loCaW3Tvft28fRCKRVS8QQog+KKATwoF169ZBJBJh+/btSmnBYeHwGjHCoPy56ukP7NcDUb0MW6vakoN5c3Mz1q9fj7i4OIwcOdLc1SHEpCigE8KBHj16YM+ePXBxcVGZHjj/BQRufFevvLm+McuMEe5IHK/f9BlLDuZAy8p9s2bNUlibm5AHBU2KI4Qj06ZN05ju1bUrvPZ8gby5CSrPh7f30IQ4eMfHc1U9BV18PbF1HrA0tVzN/d0UPdHLFXEjLP+Sp6CgICQnJ5u7GoSYBQV0QkxMfqZ6/uIXIZU77+7YtSsG6NmT14f8Ou2J6eWob2pL6+whwKrJ5l/YhhCiHQrohJhR2I6dHe9kIhtmGH84vf3yrIQQ7tA5dEIIIcQGUEAnhBBCbAAFdEIIIcQGUEAnhBBCbAAFdEIIIcQGUEAnhBBCbAAFdEIIIcQG0HXohJjR2UWLIGuoZ587+Pkh5L1NZqnLyq8q0CBuWzfO152P1VO8OC3j8GkRp/nJixnkarS8CbEGFNAJMTFNS7+K795FXsIcAID76NEITphr1LpoWvq1rEaGJanlAIBhA1zwbJSTUetCCDEMDbkTYiIVt2+3BGst1nEHgJqjR9ngzrU79+5jiZbruAPAqYt1bHAnhFgmCuiEcEAmkyE8PByxsbEq04s++xQliSv1ypvroL73eA02/iTV61hLD+rXrl2DnZ0dduzYYe6qEGJyNOROCAfS0tKQn5+PXbt2KaVdO3MGtSdOaDxe/hapqgJ4XsIcTm6jmn/pBnKuu2vcR/4WqaoC+JLUcou9jWqvXr0wc+ZMJCcnY9asWXB31/xaTUlSU4O7P/4X9TduoL64GIxEAgDweuwxBL6wwKC8L9wU42xxE0rKmlHTIENTMwNPZz4e8rHDmDBn+HvRV317IpEIGzduxLfffovi4mI4Oztj2LBhSExMxIgRI8xdPb1QD50QA0mlUqSkpCA6OhpDhw5VSq/9UPO9ud2XLdeqHFWBftSoUQgKCtLqeADYfUpzgHt+mHaT1lQFel3rYiwrVqxAWVkZtm3bZu6qKJDcv4+yI0dQd+0aG8y5cvxSA7ILmnCnSoq6JgbNUqC8VobThWJs+m8VLpaKOS3P2tXV1WHkyJFYt24drl69iqamJty/fx+HDx/GqFGjsG/fPnNXUS8U0Akx0KFDh1BSUoLZs2crpWkzXF7TQcBv5fv0RF2rpkCb4fLdp7SbKf7kw44G1cWYQkNDER4ejl27dkEmk+mdT0lJiU775yXM0fh+C5yd4Tt2LAIXLYLfhDid8l6SWq7x/RPwgajejlga64FNs72xanInBPu19MplDHDwrzq1xz6I1q5di7y8PADA1KlTce/ePfz6669wdnaGTCbDwoULUVlZaeZa6o4COiEGSktLA4/Hw5QpU/TOoyUYJKgNCBF7vkC3yaa59eiS1HIs/Zf6ALJ1ng8mRLiZpC76mjp1KkpKSpCZmanX8dnZ2ejfvz82btzIWZ0cfX3RbeYseA1/BA5e3F4OOGekG2Y85oYefvZwsOOhs4cATw9xYdPvVus3Z8IWMQyDf/3rX+zz9957D76+vnjiiScwdepUAEBNTQ3+/e9/m6uKeqOATogBGIZBVlYW+vXrB09PT4W0LJ0nZinPOec7OXFy7vzz/+ToVhOe8jahPc9iz523N3z4cADA0aNH9To+JCQEkZGRSExMxIYNG7ismlEIHZS/yiVyMbyTC33VtyosLERZWRkAwM3NDYGBgWzawIED2cenTp0yed0MRTMlCDHApUuXUFlZiZiYGKU0j2zDvhC4COStzlX3MOh4awnkrQYPHgwAOHnypF7Hu7q64vDhw4iNjUVSUhIYhkFSUhKXVTSqZimDH3PbhtlH9Kc1BFrdvXuXfdz+R7iHh4fK/awFBXRCDFBaWgoA8PPz4y5THg8RaXtUbFbRbdaQVlhYaPAkNR6ALSqCuTnqogs3NzcIhUL2/ZEXFBSE4uJinfJbtWoVIiIi2B9utZcu4dpG1T339qdNBmx+H46+vlqXVXBHjI9/rlGZ1v40yNvxneDtJlDY1iiWYffRWhSVNQMAhgQ7YmR/odblP0iYdmtCyD/X9Bm3VFYV0CUSCSQczw7Vpkz5/x+EslvLkxowoUhfrWWas711UVFRAQDo1KkTJ3UIXrUa7n36qExbs2aN0ra0tDRUVVVh6dKlSmntex+6enWcC4K7qu7Zmbou+vDy8kJ5ufI8gPj4eJXbVcnPz0deXh68vb3Rs2dPrqvIuep6KT45UoPb91vG2x/tK0T8cBerDE7GIv/ju6qqSiGturpa5X7WwqoC+pEjR+Ds7GyWsjMyMsxSrtnKHhCCM6YvlWWO11xfX9/xTu04ObUEvIaGBk7qcH3dOwBUD7cnJycrbcvKykJRUZHKNENt+7kOQJ3K4XZT10UfDQ0NKr8vNm/erNXxJ06cQExMDHx8fJCZmYm+ffuyaW79+yu9R609c0NPlfTu6qDU5q09c02nPu7cb8YnGTWoqpOBB+CpSGeMCTPP96Ul69mzJzp37ox79+5BJBKhuLiYPY9+7tw5dr+oqChzVVFvVhXQx44da/KFIiQSCTIyMjBmzBjY29s/EGU/iK8ZaOtt68L3n6FUri9xyUuYg55btsKDo56/IZakliN5kj06eXp0vLOFkMlkqK6uRkhIiF7H5+bmYty4cRAKhcjMzERYWJjBdWJkMkjrWs5rS5ua2uoqaUZzbS0AgC8Ugq/H5/7a3xJ8nlmDBjEDAR+YOcINkT0t99JCc3vuuefYKxjeeOMNbN++HWfPnsW3334LAHB3d8e0adPMWUW9WFVAt7e3N/mX/INc9oP2mvUpLyQkBHw+HwUFBUpp1VHDDJoYd2PpEgDcTI4b6FFo0MS45P0SAJa7Qlx7BQUFkMlkCrOWddG7d29ER0djw4YNeufRnriiAhdff01pe1X2KVT98zl5aP4L8NZjlbLDeXXsnfKkMuCL32rxxW+1CvuoOt/+oFq9ejV++eUX5OXl4ZtvvsE333zDpvH5fHz66afw4vjSQlOgaxkIMYCnpyfCwsKQm5urNMFm1OLFnJSRlzAH4sZGg/KYP3kIJ3VZklqOxibTz2/QVXZ2NgAgOjpar+M9PDxw8OBBzoI5sSwuLi747bffsGrVKvTu3RsODg7w9PTEuHHjcOzYMUyfPt3cVdSLVfXQCbFEEydORHJyMnJyclQu/cqFCwsXqJ39bmpvprdMHLLk3npGRgYEAgHGjx9vsjI7Gklx9PXVe7Slo7Z+JcZTr3wfZG5ubnjnnXfwzjvvmLsqnKEeOiEGmj9/PgQCAfbu3auUxuW15Kpuu9o6EU0bxg7AutTFmOrr63HgwAFMmDAB/v7+5q4OISZDAZ0QAwUEBGDq1KlIT09HXZ3ymtnurymfN9UHFz8O5g+v7XgnLVhy73zfvn0QiURYtmyZuatCiElRQCeEA+vWrYNIJML27duV0oLDwuFl4O0YuerpD+zXA1G9HAzKw5KDeXNzM9avX4+4uDiMHDnS3NUhxKQooBPCgR49emDPnj1wcXFRmR44/wUEbnxXr7w5HbYHMGOEOxLH6zd9xpKDOdCyct+sWbPwwQfa3cGOEFtCk+II4UhH1616de0Krz1fIG9ugsrz4e09NCEO3vHxXFVPQRdfT2ydByxNLVdxSxhlT/RyRdwIy18+NCgoyGIWtiHE1CigE2Ji8jPV8xe/yC42AgCOXbtigJ49eX3Ir9OemF6O+rb1TtDZQ4BVk82/sA0hRDsU0Akxo7AdO81dBdaGGcYfTo8Z5Gr0Mgh5UNE5dEIIIcQGUEAnhBBCbAAFdEIIIcQGUEAnhBBCbAAFdEIIIcQGUEAnhBBCbAAFdEIIIcQG0HXohJjR2UWLIGuoZ587+Pkh5L1NnJZxe/9/OM1Pnv+kyUbL21Arv6pAg7htHTxfdz5WT/HitIzDp0Wc5iePrtknuqKAToiJaVr6VXz3LvIS5gAA3EePRnDCXBPWzPppWsq2rEaGJanlAIBhA1zwbJST6SpGiAnQkDshHJDJZAgPD0dsbKzafSpu324J1lqs4w4ANUePssHd0l27dg12dnbYsWMH53lr07Z37t3HEi3XpQeAUxfr2OBu6YzZtsS2UEAnhANpaWnIz89Xe2OQos8+RUniSr3ytoag3qtXL8ycORPJycmoqanhNO+O2nbv8Rps/EmqV97WENSN2bbEtlBAJ8RAUqkUKSkpiI6OxtChQ5XSr505g/snTmjMI2LPF+w/VawhqK9YsQJlZWXYtm0bZ3l21Lb5l24g57pYYx5b5/mw/1SxhqBujLbliqSmBqV7v8SF15bjzPPP4dzLL6Hw44/QUFJicN61DTJ8f0qElG8rsXxPOVZ9XYHUYzW4VdlsUL5//PEHFi9ejEGDBsHPzw+Ojo4ICgpCXFwcTnTwt2rJKKATYqBDhw6hpKQEs2fPVple+6Hme3O7L1uuVTmqgvqoUaMQFBSk1fHGFhoaivDwcOzatQsymUzjvtrWu6O23X3KXePxzw/TbtKaqqBurW1rSpKqKlxNSUZZRgbE5eVgmpvRXFuLqpwcXFn7v6i9fFnvvKvrZfjgYBWOX2pEpUgGqQwQNTI4UyTGhwercO1vid557927Fzt37kReXh7u3bsHsViM4uJi/Pjjj3jsscewa9cuvfM2JwrohBgoLS0NPB4PU6ZMUUrTpmdd00HAb+X79ERdq2ZyU6dORUlJCTIzMznJT1PbatOz3n1Ku5niTz7sqHPdTM3Qti3Ro8eclzBH42e4NP0riMtb3gffsf+Dgdt3IHDRiwCPB0YsRsmuz8BIVZ8OWZJarvE93P9/IlSKWn68RA8QYv0ML8yJdgOPB0ikwFe/10Iq03bWhCI+n4/4+HgcOXIEIpEIpaWliI+PZ9MTExMhVVNvS0az3AkxAMMwyMrKQr9+/eDp6al3Pi1fmjxAzbQudUPxlmb48OEAgKNHj2LMmDEG5cVV2y5JLQePARie6nR1Q/GWxpC2zc7OxujRo/HWW29h5Ur95nK011xXh6rcXAAAz94e/s88A76DA7yGD0dFVhZEly9BXF6OmvPn4REerlPe9U0ynC1qOZViLwAmRLrA3o6HyJ6OOHmlEdf+lqBSJMOV2xIM6Oagc903btwId/e20R0XFxfs2LED3333HQCgoqICZWVl6NKli855mxP10AkxwKVLl1BZWYlBgwYppWXpPCtZOZjznZysJpgDwODBgwEAJ0+eNDgvTW37+X9ydMpLVTAX2vOsJpgDhrVtSEgIIiMjkZiYiA0bNnBSn4biYuCfXqyjXxfwHdoCq1P3buzj+uvXdc67tKIZrZ1vH3cB7O3a3kD/TgL2cVGZfsPu8sG8VX1923oQzs7O8Pb21itvc6IeOiEGKC0tBQD4+fkppXlknzIob2sK5K3c3NwgFArZdjGEprY9V93DoLytKZC3MqRtXV1dcfjwYcTGxiIpKQkMwyApKcmg+kiqq9nHAmdnhTS+U9s1/pKaauiqtrHtx62zg+KvMaHc89oG/Ybc22MYBq+//jr7fOHChbC3t+ckb1OyqoAukUggkeg/EULfMuX/fxDKfhBfs75lVlRUAAA6derEXUV4PESk7VGxWc2YsZq0wsJCs0zq8vLyQnl527lRfettjLblAdiiIphba9sCQFBQEIqLi3XKZ9WqVYiIiEBMTAy7rfbSJVzbqLr33v48+oDN77fbg1H7lAceCu6I8fHPqi+5a38e/e14xfdbKWQr5G04sViM5557jh1uHz16NGejGKZmVQH9yJEjcG73S9BUMjIyzFKuOct+0F6z/JCbtpz+6Yk0NDRwUofgVavh3qePyrQ1a9YobUtLS0NVVRWWLl2qlGbIeWdDNDQ0KPyd6ltvrtv21XEuCO6qenU4a21bAIiPj1cK8urk5+cjLy8P3t7e6Nmzp0F1sffwYB9L2/3tSOWWM7bz0HwlgipuwrZQ3dCkGNIbJG3P3ZwMC+k1NTWYNGkSjh49CgCIi4vDvn374Oho+ZMkVbGqgD527FiV5z6MSSKRICMjA2PGjDH5EIy5yn4QXzPQ1tvWha+vLwCgsrKSkzpcX/cOANXD7aoWVsnKykJRUZHaRVdMTSaTobq6GiEhIew2fevNddtu+7kOQJ3K4XZrbVsA2Lx5s1bHnzhxAjExMfDx8UFmZib69u2rkO7Wv7/S5661Z67q82jn4gKeQABGKkXT3buQicXsefRGudMCzj2D0bWrg1K7t/bMVb0fzo48CPiAVAaU10ohaWbY8+h37rddgx7oq/93xK1btxAbG4v8/HwAwEsvvYStW7dCIBB0cKTlsqqAbm9vb7bzGg9i2Q/aa9anvJCQEPD5fBQUFHBal7yEOei5ZSs8uBzKN4GCggLIZDIMHDjQ4LyM1bZLUsuRPMkenTw9Ot7ZghjStrm5uRg3bhyEQiEyMzMRFhZmcH0Ezs7wGDwEVdmnwEgkuP3tt+gycSJqz52D6MoVAICDjw/cQ0N1ztvJgY/wQAecLhRDIgV+/KsO4x52xuVbEly/2xLQvVz56Ouv33fE+fPnERMTg9LSUvB4PLz77rtYsWKFXnlZEprlTogBPD09ERYWhtzcXDDt1mivjhpmUN43li6xihXi5GVnZwMAoqOjDc5LU9sO9Cg0KO/k/RKrWCFOniFt27t3b0RHR+Po0aOcBPNW3WbMgINPSw+77MgvOLf4RRTt3AEwDHgODnjohQXg6dnjnTjUFV6uLSHqt4uNSEyvxJ7fasEwLZeyzRzhBgFfvyH3zZs3s5MLGYbBG2+8AR6Pp/AvKytLr7zNiQI6IQaaOHEiqqurkZOjeCnVqMWLOck/L2EOxI2NnORlbBkZGRAIBBg/fjwn+alr2/mTh3CS/5LUcjQ2mX4Cpj4MaVsPDw8cPHiQk5ETefaenuizJhk+Tz4JBx8f8AQC2Lm5wXPwEPR962249eund94eznwsH++JEf2F8HLlQ8AHXBx5CA90wLLxnujVxfpmoRubVQ25E2KJ5s+fj7Vr12Lv3r0q1xvnwoWFC9TOfrcU9fX1OHDgACZMmAB/f39O8jRF276Z3nJZlSVfymaMttWGNpdO2ru7o/vsOcBs3UaTtGlvNyc+4oe5It6wwS4laWlpSEtL4zZTC0A9dEIMFBAQgKlTpyI9PR11dXUKaZxeS67itqutE7cswb59+yASibBs2bIO99W23pra1tgB2Frbljy4KKATwoF169ZBJBJh+/btSmnur73GSRmWvNBMc3Mz1q9fj7i4OIwcOZLTvDW17fzhtZyUYcm9c2O2LbEtFNAJ4UCPHj2wZ88euLi4KKUFh4XDa8QIg/K35GAOtKzqNmvWLHzwgXY3mtGFprYd2K8Honrpvpa3PEsO5oBx25bYFjqHTghHpk2bpjYtcP4LcHtqPIpXvqlzvpYezIGW1cqMeb22pradMcIdo/tVYcNB3e+RbenBHDB+2xLbQT10QkzEq2vXluCsYZlReQ9NiLOKYG4Juvh6Yus8H62XAn2il6tVBHNCdEE9dEJMTH6mev7iFyGVm+zl2LUrBmx81xzVsgny67QnppejvqktrbOHAKsmW9dCPYToggI6IWYUtmOn0cvwnzTZ6GVYog0zjN8DjxnkavQyCNEWDbkTQgghNoACOiGEEGIDKKATQgghNoACOiGEEGIDKKATQgghNoACOiGEEGIDKKATQgghNoCuQyfEjM4uWgRZQz373MHPDyHvbeK0jMOnRZzmJ8+Sr8Ne+VUFGsRtd6jzdedj9RQvTsu4vf8/nOYn70FdP4DojwI6ISaWNzdB5a1QAUB89y7yElruK+0+ejSCE+aasGbWb2lqOVS3LFBWI8OS1HIAwLABLng2ysl0FSPEBGjInRAOyGQyhIeHIzY2Vu0+FbdvtwRrNcG8vZqjR9ngbumuXbsGOzs77Nixg/O8tWnbO/fuY4mGYN7eqYt1bHC3dMZsW2JbKKATwoG0tDTk5+ervStW0WefoiRxpV55W0NQ79WrF2bOnInk5GTU1NRwmndHbbv3eA02/iTVK29rCOrGbFtiWyigE2IgqVSKlJQUREdHY+jQoUrp186cwf0TJzTmEbHnC/afKtYQ1FesWIGysjJs27aNszw7atv8SzeQc12sMY+t83zYf6pYQ1A3RttyRVJTg9K9X+LCa8tx5vnncO7ll1D48UdoKCkxOO/aBhm+PyVCyreVWL6nHKu+rkDqsRrcqtT9Vrny/vjjDyxevBiDBg2Cn58fHB0dERQUhLi4OJzo4G/VklFAJ8RAhw4dQklJCWbPnq0yvfbDDzQe775suVblqArqo0aNQlBQkFbHG1toaCjCw8Oxa9cuyGQyjftqW++O2nb3KXeNxz8/TLsJgaqCurW2rSlJqqpwNSUZZRkZEJeXg2luRnNtLapycnBl7f+i9vJlvfOurpfhg4NVOH6pEZUiGaQyQNTI4EyRGB8erMK1vyV65713717s3LkTeXl5uHfvHsRiMYqLi/Hjjz/isccew65du/TO25wooBNioLS0NPB4PEyZMkUpTZuedU0HAb+V79MTda2ayU2dOhUlJSXIzMzkJD9NbatNz3r3Ke1m4T/5sKPOdTM1Q9u2RI8ec17CHI2f4dL0ryAub3kffMf+DwZu34HARS8CPB4YsRgluz4DI1V9OmRJarnG93D//4lQKWr58RI9QIj1M7wwJ9oNPB4gkQJf/V4LqUzbWROK+Hw+4uPjceTIEYhEIpSWliI+Pp5NT0xMhFRNvS0ZzXInxAAMwyArKwv9+vWDp6en3vm0fGnyADXTutQNxVua4cOHAwCOHj2KMWPGGJQXV227JLUcPAZgeKrT1Q3FWxpD2jY7OxujR4/GW2+9hZUr9ZvL0V5zXR2qcnMBADx7e/g/8wz4Dg7wGj4cFVlZEF2+BHF5OWrOn4dHeLhOedc3yXC2qOVUir0AmBDpAns7HiJ7OuLklUZc+1uCSpEMV25LMKCbg85137hxI9zd20Z3XFxcsGPHDnz33XcAgIqKCpSVlaFLly46521O1EMnxACXLl1CZWUlBg0apJSWpfOsZOVgzndysppgDgCDBw8GAJw8edLgvDS17ef/ydEpL1XBXGjPs5pgDhjWtiEhIYiMjERiYiI2bNjASX0aiouBf3qxjn5dwHdoC6xO3buxj+uvX9c579KKZrR2vn3cBbC3a3sD/TsJ2MdFZfoNu8sH81b19W3rQTg7O8Pb21uvvM2JeuiEGKC0tBQA4Ofnp5TmkX3KoLytKZC3cnNzg1AoZNvFEJra9lx1D4PytqZA3sqQtnV1dcXhw4cRGxuLpKQkMAyDpKQkg+ojqa5mHwucnRXS+E5t1/hLaqqhq9rGth+3zg6Kv8aEcs9rG/Qbcm+PYRi8/vrr7POFCxfC3t6ek7xNyaoCukQigUSi/0QIfcuU//9BKPtBfM36lllRUQEA6NSpE3cV4fEQkbZHxWY1Y8Zq0goLC80yqcvLywvl5W3nRvWttzHalgdgi4pgbq1tCwBBQUEoLi7WKZ9Vq1YhIiICMTEx7LbaS5dwbaPq3nv78+gDNr/fbg9G7VMeeCi4I8bHP6u+5K79efS34xXfb6WQrZC34cRiMZ577jl2uH306NGcjWKYmtUE9Ki417H7pwKz/Grq6QxkZGSYvNxW5ir7QXvN8kNu2nL6pyfS0NDASR2CV62Ge58+KtPWrFmjtC0tLQ1VVVVYunSpUpoh550N0dDQAGe5Hpu+9ea6bV8d54LgrqpXh7PWtgWA+Ph4pSCvTn5+PvLy8uDt7Y2ePXsaVBd7Dw/2sbTd345UbjljOw/NVyKo4iZsC9UNTYohvUHS9tzNybCQXlNTg0mTJuHo0aMAgLi4OOzbtw+OjpY/SVIVqwnoABAcHGzyhpZJpWD+LsWYMWNM/mNCIpEgIyPD5GWbq1xzl93aI9SFr68vAKCyspKTOlxf9w4A1cPtqhZWycrKQlFRkdpFV0xNJpOhuroaISEh7DZ968112277uQ5AncrhdmttWwDYvHmzVsefOHECMTEx8PHxQWZmJvr27auQ7ta/v9LnrrVnrurzaOfiAp5AAEYqRdPdu5CJxex59Ea50wLOPYPRtauDUru39sxVvR/OjjwI+IBUBpTXSiFpZtjz6Hfut12DHuir/3fErVu3EBsbi/z8fADASy+9hK1bt0IgEHRwpOWyqoAu4PMh4Jt+Hp8UgL29vdnOqZir7AftNetTXkhICPh8PgoKCjitS17CHPTcshUeXA7lm0BBQQFkMhkGDhxocF7GatslqeVInmSPTp4eHe9sQQxp29zcXIwbNw5CoRCZmZkICwszuD4CZ2d4DB6CquxTYCQS3P72W3SZOBG1585BdOUKAMDBxwfuoaE65+3kwEd4oANOF4ohkQI//lWHcQ874/ItCa7fbQnoXq589PXX7zvi/PnziImJQWlpKXg8Ht59912sWLFCr7wsCc1yJ8QAnp6eCAsLQ25uLph2a7RXRw0zKO8bS5dYxQpx8rKzswEA0dHRBuelqW0HehQalHfyfolVrBAnz5C27d27N6Kjo3H06FFOgnmrbjNmwMGnpYddduQXnFv8Iop27gAYBjwHBzz0wgLw9OzxThzqCi/XlhD128VGJKZXYs9vtWCYlkvZZo5wg4Cv35D75s2b2cmFDMPgjTfeAI/HU/iXlZWlV97mRAGdEANNnDgR1dXVyMlRvJRq1OLFnOSflzAH4sZGTvIytoyMDAgEAowfP56T/NS17fzJQzjJf0lqORqbTD8BUx+GtK2HhwcOHjzIyciJPHtPT/RZkwyfJ5+Eg48PeAIB7Nzc4Dl4CPq+9Tbc+vXTO28PZz6Wj/fEiP5CeLnyIeADLo48hAc6YNl4T/TqYn2z0I3NqobcCbFE8+fPx9q1a7F3716V641z4cLCBWpnv1uK+vp6HDhwABMmTIC/vz8neZqibd9Mb7msypIvZTNG22pDm0sn7d3d0X32HGC2bqNJ2rS3mxMf8cNcEW/YYJeStLQ0pKWlcZupBaAeOiEGCggIwNSpU5Geno66ujqFNE6vJVdx29XWiVuWYN++fRCJRFi2bFmH+2pbb01ta+wAbK1tSx5cFNAJ4cC6desgEomwfft2pTT3117jpAxLXmimubkZ69evR1xcHEaOHMlp3pradv7wWk7KsOTeuTHbltgWCuiEcKBHjx7Ys2cPXFxclNKCw8LhNWKEQflbcjAHWlZ1mzVrFj74QLsbzehCU9sO7NcDUb10X8tbniUHc8C4bUtsC51DJ4Qj06ZNU5sWOP8FuD01HsUr39Q5X0sP5kDLamXGvF5bU9vOGOGO0f2qsOGg7vfItvRgDhi/bYntoB46ISbi1bVrS3DWsMyovIcmxFlFMLcEXXw9sXWej9ZLgT7Ry9UqgjkhuqAeOiEmJj9TPX/xi5DKTfZy7NoVAza+a45q2QT5ddoT08tR39SW1tlDgFWTrWuhHkJ0QQGdEDMK27HT6GXEDHI1ehmWaMMM4/fA/SdNNnoZhGiLhtwJIYQQG0ABnRBCCLEBFNAJIYQQG0ABnRBCCLEBFNAJIYQQG0ABnRBCCLEBFNAJIYQQG0ABnRBCCLEBFNAJIYQQG0ABnRBCCLEBFNAJIYQQG0ABnRBCCLEBFNAJIYQQG0ABnRBCCLEBFNAJIYQQG0ABnRBCCLEBFNAJIYQQG2Bn7gpog2EYAEBTk9jkZUtlMojr61FTUwN7e3uTli2RSFBvhrLNVa65y66trQXQ9nkjhBBrwmOs4NurtLQU3bt3N3c1yAPi5s2b6Natm7mrQQghOrGKgC6TyXD79m24ubmBx+OZuzrERjEMg9raWvj7+4PPp7NRhBDrYhUBnRBCCCGaUTeEEEIIsQEU0AkhhBAbQAGdEEIIsQEU0AkhhBAbQAGdEEIIsQEU0AkhhBAbQAGdEEIIsQEU0AkhhBAbQAGdEEIIsQEU0AkhhBAbQAGdEEIIsQEU0AkhhBAbQAGdEEIIsQEU0AkhhBAbQAGdEEIIsQEU0AkhhBAbQAGdEEIIsQEU0AkhhBAbQAGdEEIIsQH/DxEEYVXY/vEaAAAAAElFTkSuQmCC" ], "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, 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 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>"}
[ 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>"}
[ 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>"}
[ 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>"}
[ 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 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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peRvF482cOZMpLy9nfv/9dza5C4VCRi6Xs9srXi7Z3qRJk9jyXLlyhWlubmb++usv5vDhw0xSUpKRapEYQ1lZmdJn47///a/G7ZcsWcJuO378eObGjRvMzZs3mccff5xdvmTJEnZ7fRM6AOa1115jqqqqmIMHDyr9YFDUUXyGMez/yKOPPspcuXKFqaurYy5evKhbpSqWT+89CSEWSduEXldXx7aWwsLCGIZhmNzcXHa75557jo3Zo0cPjTEBMBMnTmS3b1vG5/OZqqoqdvmQIUPYdbdv32aXa0roy5YtYwAwPB6PmTVrFvPee+8xhw4dYu7cucN11REju3PnjtJn5uzZsxq3V/zcnT9/nl2el5fHLu/Zsye7XN+E7uPjw951kmEYxsvLiwHAODo6KsXRlND1/T8CgCktLe2s6rRilKlfuSaXy3Hr1i24urrS3amI0TAMg9raWvj5+XF+Db+5xMfHdzhXvLOzM2bPno3du3cjPz8f58+fx+eff86uX7x4MftYcU77jlRUVKgs69atm9Ic+IqXITU2NmrzErB27VoUFhbiyJEjSE9PZ2eV5PP5mDFjBj7//HOVaYiJZfL29oabmxt77vvixYuIiIjocHvFz53ijaQUz1ur+2wy7a6UaGlp0Viuvn37snedBFo/p5WVlTrdJEzf/yM+Pj7o1auX1sfRxCoS+q1btzh7wcTyLQoP63wjI9lzPh9//fUXevbsabYymNKiRYuwe/duAEBKSgq+/PJLAMCDDz6IIUOGsNv5+vri5s2b4PF4uHnzJrp3764Sq/2XKKDdzX80LQdar/k9dOgQqqurceHCBRQVFSE9PR0///wzvvzyS8TGxmLmzJmdv1hidnw+H5MmTcIXX3wBoHWw49NPP632B1lLSwv7uQNaB6K13etB8ZIxX19f9rGjoyOampqURorL5XJcv35dY7m0/Zxqou//kY5u7qQPq0jorq6uAICioiL2salIpVKcOHECjz76qF6zz1njsc39mvP3fIyA3r0hMHEruaGhAXueW2Tyz5g5DR48GEOHDkVubi527tzJtmQWLVqktN2UKVPw4YcfgmEYxMfHY/v27ejTpw8qKyvx22+/4ZNPPsGsWbMwb948vcrh5eXFfkmfO3dO6frjvXv3Ami9v/zgwYMxZMgQFBcX4+effwYAlJaW6nVMYh5r167F999/D4lEgvz8fEyePBnr1q3DwIEDIZFI8Ntvv2Hbtm3YunUrYmNj2R+cK1euxKeffgoej4eVK1ey8WJjY9nHAQEBuHz5MioqKnDmzBmMGDEC77//vla37NaGl5cXKisrUVFRgZs3byrdP8TY/0e0YRUJve3XkqenJ9zc3Ex6bKlUCmdnZ3h5eZkluZnj2OZ+zfb29nB2cgLfTN2otnRaJy0tDWlpaSrLi4qK2G7LRYsWITc3l03mLi4umDVrltL2ycnJOHHiBC5evIiMjAwMHDhQJaYhreSHHnqIvfNcWxdsZGQksrKykJ2d3eHU0HZ2diqX3RHL1rdvX/z73/9GXFwcKioqcOjQIRw6dEjttsnJyTh27BgKCwvx008/KSXQtliKkyjNmzcPiYmJAFo/UyKRCBKJBM7OzpzcffKhhx7CDz/8gLq6OrYXr+20lrH/j2jDNk4UEkL09vTTTyv1SsycOVOll8LT0xPZ2dlYt24dIiIiIBKJ2Ps2jBs3Du+9955B9yVISkrC7Nmz4evrq/KDaurUqYiLi0NQUBBcXV0hEAjg7e2N6OhoHDt2zOJmEyOde/TRR1FQUIB169ZhxIgR8PDwgL29PXr06IFHH30U27dvR9++feHj44OcnBwkJCRg4MCBEAqFcHR0xIABA7B69Wrk5OTA29ubjbtixQokJCTA398fDg4O6N+/Pw4ePIhhw4ZxUu4PPvgAkyZNgpeXl8o6Y/8f0YZVTP0qFovh7u6Ompoas7TQDx8+jJiYGLO0Vs1xbHO/5t/e3YK+ffuavIXeUF+PPnPmmuVzRgghhqIWOiGEEGIDKKETQgghNoASOiGEEGIDKKETQgghNoASOiGEEGIDKKETQgghNoASOiGEEGIDKKETQgghNoASOiGEEGIDKKETQgghNoASOiGEEGIDKKETQgghNoASOiGEEGIDKKETQgghNsDO3AUg5H52/vnnIW+oZ587+Poi5J0tZinLqi8q0dB8727KPm58rJnmyekxbn33L07jKfKbMtVosQmxBpTQCTGxvPnxAMOoXdd85w7y4ucBANzGjkVQ/HyjlmVZSgXUlwQoF8uxNKUCADByoAhPj3AyalkIIYahLndCTKTy1q3WZN1BMm9PfPw4m9y5drvsLpZqSObtnfmzjk3uhBDLRAmdEA7I5XKEh4cjJiZG7friPR+jdPUqvWJzndT3/yLG5h9leu1r6Un96tWrsLOzw65du8xdFEJMjrrcCeFAamoq8vPzsXfvXpV1V8+dQ+2pUxr3j0jbxz5Wl8Dz4ucpbaOv/ILryLnmpnGb7Qu82cfqEvjSlAqlbSxJnz59MHv2bCQlJWHOnDlwc9P8Wk2p5tw5VOfmoL6oCNLqasibmmDfpQucewei26RJcOrVS+/YkkY5jp6vR0l5C25WtUD69++14X0cMXu0K0evwHb89ttvSE9Px5kzZ3Dz5k1UV1eje/fuCAsLw8qVK/Hwww+bu4h6oRY6IQaSyWRITk5GZGQkhg8frrK+9v2tGvd3W/6qVsdRl+ijoqIQEBCg1f4A8OkZzQnu2ZESreKoS/S6lsVYVqxYgfLycuzYscPcRVFSfiwDVb/+isYbNyCTSMBIpWguK0N19hlcWvsWas6f1zt2dZ0cJ/9sRHH5vWROOrZ//37s3r0beXl5KCsrQ3NzM0pKSvDDDz/gkUceUfvD3BpQQifEQIcPH0ZpaSnmzp2rsk6b7nJxJwm/jc+Tk3UtmhJtuss/PeOiVazHBzsaVBZjCg0NRXh4OPbu3Qu5XK53nNLSUp22z4ufp/H95gkE8BwzBn3XvInwvZ9gwNvvwCU4uHWlTIbb//ymw32XplRofP+cHHiIHCjE3DEuGB9Ggxc7w+fzMX36dBw9ehQSiQQ3btzA9OnT2fWrV6+GTGZ9v4yoy50QA6WmpoLH42HatGl6x2hNBDygg2FqXHS3a2tpSgV4DMDw1K+31O52RXFxcUhMTERmZibGjRun8/7Z2dkYO3Ys3nzzTaxapd/Yh/YCnn8BAqd7yVbYrRv8Zj6NK8lJAIDG27f1ju3lKsDUEa0/xn671GBQOe8HmzdvVjodIxKJsGvXLvzzn/8EAFRWVqK8vBzdunUzVxH1Qi10QgzAMAyysrLQv39/eHh4KK3L0nlglmoy5zs5cZLMP/lXjm4lUZPMhfY8q0jmADBq1CgAwPHjx/XaPyQkBEOGDMHq1auxadMmTsqkmMzbyJub2ccOntxe8086pm5sRX39vfkgnJ2d4eXlZcoicYJa6IQYoKCgAFVVVYiOjlZZ5559xqDYXLbKL9T0Nmh/a0nkbYYOHQoAOH36tF77u7i44MiRI4iJiUFCQgIYhkFCQgKXRYRcKsXtb75mn3s/rntPAuEGwzB4/fXX2eeLFy+Gvb29GUukH0rohBjgxo0bAABfX1/ugvJ4iEhNU7O4gz7wDtYVFRUZPEiNB2CbmmRujrLowtXVFUKhkH1/FAUEBKCkpESneImJiYiIiGB/uNUWFODqZvUt9/bn0Qe++x4cfXyUlskaGnB9x3bUXb0KAOjy0MPw+fvUQOHtZnz4k1ht7Pbn0d+a3gVergKdXgtR1tzcjGeeeYbtbh87dixnvTKmZlUJXSqVQiqVmvyYiv/eD8e2hNcsM2Awk770OWZlZSUAoEuXLpyUIShxDdz69VO7bu3atSrLUlNTUV1djWXLlqmsa38KQFevTBAhqLv6AVamLos+PD09UVGhOpBs+vTpaperk5+fj7y8PHh5eSEwMJCTcknv3sXV995F419/AQC8Hx2LnvPmafyRRIxDLBZjypQp7KmZ2NhYHDhwAI6OljvoUxMew2g5bZUZicViuLu7Iz09Hc7OziY//vX6niY/ZptAZ9UWBlHW0tKCB45lwE7hHJiiPx57HG7u7p3Gqa+vx6xZs1BTU6P19csHDx7ElClTkJCQgA0bNiitM2RCGG2726OiolBcXIzi4mKN2xkyIYy23e3alMWUc7l7enrC0dERt/UcbHbq1ClER0fD0dERmZmZCAsL07h92/ut6b1ruHED1957F9KqKoDHQ/dp09Ft0qROy9L2/mnzXvx2qQHf/F4HgK5D1+TmzZuIiYlBfn4+AODFF1/E9u3bIRBYb4+HVbXQx48fb/KJIqRSKT7+vgBBgYHgm/iNlstkYP53A+PGjTPp+RypVIqMjAyTH1fXYxcsXw5ZrfquSUWhmcfYxyF7P+mwJdTW2taFz99dqVVVVTrvq0le/DwEbtsOd45a/oZYmlKBpCn26OLR+Y8iSyGXy1FTU4OQkBC99s/NzcWECRMgFAq1SubaqL10CUXbt0FWXw+enR0eWPgcPP8evGcoOcOgvqm1bdbccq+N1iJjIGls7XkS2vNgJ6BeAAD4448/EB0djRs3boDH4+Htt9/GihUrzF0sg1lVQre3tzfbQAW+QAAB3/QXBchgvtdtzvrWdOwr69ah7mqhXnEvPrcQgPpWlD6vNSQkBHw+H4WFquWpGTHSoIFx15ctBcDN4LhB7kUGDYxL+k4KwHJniGuvsLAQcrkcgwYN0mv/vn37IjIyEps2bdI7Rnv/++5fkP3di8S0tKDko90o+Wi30jbqzrdr465Ejn/8867K8rNFzThb1Ppjc9YjLhjRV6hHyW3Pu+++y46vYBgGb7zxBt544w2lbU6cOIGoqCgzlE5/dNkasSp58fP0Tubt4zSKO2/dd8bDwwNhYWHIzc1F+7NXUUuWGBwfaC1rc2OjQTEWTh3GSVmWplSgscn0Yyt0lZ2dDQCIjIzUa393d3ccOnSIs2ROiClYVQud3N+4vklJwcsvwWnGTPTv4IYq2po8eTKSkpKQk5OjdupXLlxcvKjD0e+mtjK9BoBlX8qWkZEBgUCAiRMnmuyYnfWk9F2t/2VvndW1l6vAot8PS5OamorU1FRzF4Nz1EInVkGXZB6Rto/9G9xJAmz46gBq79wxqGwLFy6EQCDA/v371ZaFM2rGr2ZlZXU6IK6Nsb/wdSmLMdXX1+PgwYOYNGkS/Pz8zF0cQkyGEjqxeLokc49hQ5We83g8wE5zR9TVNwwbDNOjRw/ExcUhPT0ddXV1KuvdXnvNoPhtuPhxsHBULQclsezW+YEDByCRSLB8+XJzF4UQk6KETizaxQ90u2NW88iHVJb1S1zT6X5/LF+m03Ha27BhAyQSCXbu3KmyLigsHJ6jRxsUn6uW/qD+vTGij4NBMSw5mbe0tGDjxo2IjY3FmDFjzF0cQkyKEjqxaM25uTptX6/mB8CVfyR3ul/o+9t0Ok57vXv3RlpaGkQikdr1/gufg//mt/WKzfWNWWaNdsPqifoNn7HkZA60ztw3Z84cbN2q3R3sCLEllNCJxfrrc/0S2eW/714FAJfWrFF77lkRVwlzxowZePHFFztc79m9e+uxtJwR7IFJsUa7y1o3Hw9sX+ANba9KfqyPi8Unc6B1WtekpCQEBQWZuyiEmByNcicWq+LYsc43UqP++nWtzrs79e6N/kmdt965pjhSPX/JC5ApnHd37N4dA/VsyetDcZ721ekVqG+6t66ruwCJU80/sQ0hRDuU0Ml9yZT3F9ckbNfuzjcykU2zjN8Cbz89KyGEO9TlTizSNT1b552ys7OYZE4IIVyiFjqxSNLDhzmPGfbpZxB0cgkbIYRYK/p2IxapRVzDXTALmWGNEEKMiRI6sUh5Af/HSZz+Q/rgodgRnMQihBBLRgmdWKTzHCX085XAVynWc5cwQgjRFw2KIxbJzYnb+zYvTalA5m/nOI1JCCGWhBI6sUiRgRLOY/67sCeWpVRwHpcQQiwBdbkTixQZ4YcfLnI4MO5vDFpb60+PAEYONH83/Pnnn4e8oZ597uDri5B3tpilLKu+qERD871Z9Xzc+FgzzZPTYxw5y/0PtTbRD7oYLTYh1oASOrkvfZkNfJltnnPrefPjO5yOtvnOHXaWO7exYxEUP9+oZVmWUoGOJsYtF8ux9O8ejZEDRXh6hJNRy0IIMQx1uROLNWaA0OjHWJpSgZxzl4x+HACovHWrNVl3Mrd8G/Hx4zrdOlYXt8vuYqmGZN7emT/r2OROCLFMlNCJxZo20jRdqPvzvLHhX1UGxZDL5QgPD0dMTIza9cV7Pkbp6lV6xeY6qe//RYzNP8r02tfSk/rVq1dhZ2eHXbt2mbsohJgcdbkTixbm14z8W4bdv1sb5TVyQOt7j6lKTU1Ffn4+9u7dq7Lu6rlzqD11SuP+itPRqkvgefHzOJmyNr/gOnKuuWncRvE0hLoEvtSCLwPs06cPZs+ejaSkJMyZMwdubppfqylJxWLc+eHfqL9+HfUlJWCkUgCA5yOPwP+5RQbFvvhXM86XNKG0vAXiBjmaWhh4OPPxgLcdxoU5w8+TvurbBAQEoKSkROM2J06cQFRUlGkKxCFqoROL9uz/+ZnkONsMSFAymQzJycmIjIzE8OHDVdbXvq/53txuy1/V6jjqEn1UVBQCAgK02h8APj2jOcE9O1K7QWvqEr2uZTGWFStWoLy8HDt27DB3UZRI795F+dGjqLt6lU3mXPmloAHZhU24XS1DXRODFhlQUSvH2aJmbPl3Nf680czp8Wydq6uruYugF0roxOIZuzW4ZrKzQfsfPnwYpaWlmDt3rso6bbrLxZ0k/DY+T07WtWhKtOku//SMdqc5Hh/saFBZjCk0NBTh4eHYu3cv5HK53nFKS0t12j4vfp7G91vg7Ayf8ePh//zz8J0Uq1PspSkVGt8/AR8Y0dcRy2LcsWWuFxKndkGQb2urXM4Ah/5b1+G+95vi4mIwDKP09/PPP7PrBw8ejCFDhpixhPqjfhhiFbYv8DbK+duJA+vg08WwHwypqang8XiYNm2a3jFaEwEP6GCYminvELc0pQI8BmA6OANhqd3tiuLi4pCYmIjMzEyMGzdO5/2zs7MxduxYvPnmm1i1Sr+xD+05+vig5+w5AICK48c5idlm3hhXCB3utc+6ugvw5DARth5qvfTzTo1+YybuF1u33vtR/dprr5mxJIahFjqxGlwnkg0z3DBuhL9BMRiGQVZWFvr37w8PDw+ldVk6D8xSTeZ8JydOkvkn/8rRrSRqkrnQnmcVyRwARo0aBQA4rmfiDAkJwZAhQ7B69Wps2rSJy6IZhWIybyNVyOFdRPRV35GLFy/i6NGjAICePXtixowZZi6R/qiFTqzK9gXe+OBINa7+r8XgOFwoKChAVVUVoqOjVda5Z58xKDaXrfILNb0N2t9aEnmboUOHAgBOnz6t1/4uLi44cuQIYmJikJCQAIZhkJCQwGURjapFxuCH3Hvd7KMH0BwCHdm6dSuYvy8lfeWVV2Bvb2/mEumPEjqxOi9HewAA3jxQCXGDtldSt9o23ws8HnfzxN+4cQMA4Ovry1nMjm73qqnc6tYVFRUZPEiNB/UDBs1RFl24urpCKBSy748ibUY5t5eYmIiIiAj2h1ttQQGublbfcm9/Hn3gu+/B0cdH62MV3m7Ghz+J1a5rf9rpreld4OUqUFrW2CzHp8drUVze+qN3WJCjSeZ0sEZlZWX44osvALR+ZhYtMuxqA3OzqoQulUoh5Xh0qDbHBAC5zPTnoNqOaa7XbOrj6nrst6a1jthubm7Ge4ebUClRPwBqdbQMXl6tU5i2tHTcstfn9VZWVgIAunTpovO+6gQlroFbv35q161du1ZlWWpqKqqrq7Fs2TKVde1PAejqlQkiBHVX37IzdVn04enpiYoK1XEX06dPV7tcnfz8fOTl5cHLywuBgYFcF5FzNfUyfHRUjFt3W787Hg4WYvooEac/Ym3Jhx9+iKamJgDAwoUL4e7ubuYSGYbHMFpOW2VGYrEY7u7uSE9Ph7OzYSOSCelIfX09Zs2ahZqaGq2vXz548CCmTJmChIQEbNiwQWmdIRPCaNvdHhUVheLiYhQXF2vczpABhdp2t2tTFlPO5e7p6QlHR0fcvn1br3inTp1CdHQ0HB0dkZmZibCwMI3bt73f2rx3FceP46+01NZyanEdetv7p+m9uH23BR9liFFdJwcPwBNDnDEujL4vO9LY2IgHHngA5eXlEAgEuHbtGvz9DRtTY25W1UIfP368ySeKkEqlyMjIwLhx40x+bsVcx74fXzNwr7WtC5+/u1Krqgybaa69vPh5CNy2He4ctfwNsTSlAklT7NHFw3paL3K5HDU1NQgJCdFr/9zcXEyYMAFCoVCrZK4NRi6HrK71vLbs71YhAMilLWiprQUA8IVC8PX43F/9nxSfZIrR0MxAwAdmj3bFkEDLvbTQEuzbtw/l5eUAWnttrD2ZA1aW0O3t7c02YOF+PPb99pr1OV5ISAj4fD4KCwtV1tWMGGnQwLjry5YC4GZw3CD3IoMGxiV9JwVguTPEtVdYWAi5XI5BgwbptX/fvn0RGRmJTZs26R2jvebKSvz5uuolUdXZZ1D99+fkgYXPwWv0aJ1jH8mrY++UJ5MD+07WYt/JWqVt1J1vv18xDIP333+fff7666+bsTTcoWsZCDGAh4cHwsLCkJubi/Znr6KWLOHkGHnx89Dc2GhQjIVTh3FSlqUpFWhsMv3YCl1lZ2cDACIjI/Xa393dHYcOHeIsmRPLcvjwYVy61HpTpjFjxrBXRVg7q2qhE2KJJk+ejKSkJOTk5Kid+pULFxcv6nD0u6mtTG+drMSSW+sZGRkQCASYOHGiyY7ZWU+Ko4+P3r0tndV125UfRDtPPPGEyg9wW0AtdEIMtHDhQggEAuzfv19lHaczvKn5AsrKyup0QFwbYydgXcpiTPX19Th48CAmTZoEPz/T3AuAEEtACZ0QA/Xo0QNxcXFIT09HXZ3qnNluHE0lycWPg4WjajvfSAuW3Do/cOAAJBIJli9fbu6iEGJSlNAJ4cCGDRsgkUiwc+dOlXVBYeHw1GOgkyKuWvqD+vfGiD6G3Y7WkpN5S0sLNm7ciNjYWIwZM8bcxSHEpCihE8KB3r17Iy0tDSKRSO16/4XPwX/z23rF5vrGLLNGu2H1RP2Gz1hyMgdaZ+6bM2eO0s02CLlf0KA4QjjS2U0dPLt3h2faPuTNj1d7Pry9BybFwmv6dK6Kp6Sbjwe2LwCWpVR0cH83ZY/1cUHsaMufPjQgIABJSUnmLgYhZkEJnRATUxypnr/kBXayEQBw7N4dA/VsyetDcZ721ekVqL833wm6uguQONX8E9sQQrRDCZ0QMwrbtdvcRWBtmmX87vT207MSQrhD59AJIYQQG0AJnRBCCLEBlNAJIYQQG0AJnRBCCLEBlNAJIYQQG0AJnRBCCLEBlNAJIYQQG0DXoRNiRueffx7yhnr2uYOvL0Le2cLpMW599y9O4ynymzLVaLENteqLSjQ035sHz8eNjzXTPDk9xpGzEk7jKaJr9omuKKETYmKapn5tvnMHefHzAABuY8ciKH6+CUtm/TRNZVsulmNpSgUAYORAEZ4e4WS6ghFiAtTlTggH5HI5wsPDERMT0+E2lbdutSZrLeZxBwDx8eNscrd0V69ehZ2dHXbt2sV5bG3q9nbZXSzVcl56ADjzZx2b3C2dMeuW2BZK6IRwIDU1Ffn5+R3eGKR4z8coXb1Kr9jWkNT79OmD2bNnIykpCWKxmNPYndXt/l/E2PyjTK/Y1pDUjVm3xLZQQifEQDKZDMnJyYiMjMTw4cNV1l89dw53T53SGCMibR/7p441JPUVK1agvLwcO3bs4CxmZ3WbX3AdOdeaNcbYvsCb/VPHGpK6MeqWK1KxGDf2f46Lr72Kc88+gwsvvYiiDz9AQ2mpwbFrG+T49owEyd9U4dW0CiR+WYmUE2LcrGoxOLZEIsGaNWsQHBwMoVAIT09PxMTE4NdffzU4trlQQifEQIcPH0ZpaSnmzp2rdn3t+5rvze22/FWtjqMuqUdFRSEgIECr/Y0tNDQU4eHh2Lt3L+RyucZttS13Z3X76Rk3jfs/O1K7QWvqkrq11q0pSaurcSU5CeUZGWiuqADT0oKW2lpU5+Tg8rp/oPbSJb1j19TLsfVQNX4paESVRA6ZHJA0MjhX3Iz3D1Xj6v+keseuq6vDmDFjsGHDBly5cgVNTU24e/cujhw5gqioKBw4cEDv2OZECZ0QA6WmpoLH42HatGkq67RpWYs7SfhtfJ6crGvRTC4uLg6lpaXIzMzkJJ6mutWmZf3pGe1Gij8+2FHnspmaoXVbqkeLOS9+nsbP8I30L9Bc0fo++Iz/PwzauQv+z78A8HhgmptRuncPGJn60yFLUyo0voff/UeCKknrj5fIgUJsnOWJeZGu4PEAqQz44tdayOTajppQtm7dOuTl5QFordeysjIcO3YMzs7OkMvlWLx4MaqqqvSKbU6U0AkxAMMwyMrKQv/+/eHh4aF3nNYvzvgOvzwj0vah51TLvUSszahRowAAx48fNzgWV3W7NKUCyz7rOHlsX+CNSRGuesc3FUPqNjs7GwMGDMDmzZs5K09LXR2qc3MBADx7e/g99RTsXFzgOWoUXIL7AwCaKyog/uMPnWPXN8lxvrj1VIq9AJg0RASRIx9DAh0R5GsPAKiSyHH5lu6tdIZh8Nlnn7HP33nnHfj4+OCxxx5DXFwcAEAsFuOrr77SOba5UUInxAAFBQWoqqrCgw8+qLIuS+dRyaqtDb6TU4fn1S3R0KFDAQCnT582OJamuv3kXzk6xWJ4qsuE9rwOz6tbIkPqNiQkBEOGDMHq1auxadMmTsrTUFIC/N36dvTtBr6DA7vOqVdP9nH9tWs6x75R2YK2xre3mwD2dvfeQL8uAvZxcbnuCb2oqAjl5eUAAFdXV/j7+7PrBg0axD4+c+aMzrHNja5DJ8QAN27cAAD4+vqqrHPPNuwLwZoSeRtXV1cIhUK2XgyhqW4v1PQ2KLY1JfI2htSti4sLjhw5gpiYGCQkJIBhGCQkJBhUHmlNDftY4OystI7vdO8af6m4Brqqbbz349bZQfnXmFDheW2D7l3ud+7cYR+37/lxd3dXu521sKqELpVKIZXqPxBC32Mq/ns/HPt+fM36HrOyshIA0KVLF+4KwuMhIjVNzWI1zUwN64qKiswyqMvT0xMVFfe6t/UttzHqlgdgm5pkbq11CwABAQEoKSnRKU5iYiIiIiIQHR3NLqstKMDVzepb7+1PBQ189712WzAdPuWBh8LbzfjwJ/WX3LU/FfLWdOX3WyVlK8U2DNNuTgjF55o+E5bKqhL60aNH4dzul6CpZGRkmOW45jz2/faa6+vrO9+oHae/WyINDQ2clCEocQ3c+vVTu27t2rUqy1JTU1FdXY1ly5aprDPkvLMhGhoalP6f6lturuv2lQkiBHVXPzuctdYtAEyfPl0lyXckPz8feXl58PLyQmBgoEFlsVdozcra/d+RKUxnbOeu+UoEdVyF95JpQ5Ny0m2Q3nvu6qR70lXs8amurlZaV6PQ66CuZ8jSWVVCHz9+PNzcdP9wGEIqlSIjIwPjxo2Dvb39fXHs+/E1A/da27rw8fEBAM5GxF7bsB6A+u52dROrZGVlobi4uMNJV0xNLpejpqYGISEh7DJ9y8113e74qQ5AndrudmutWwB49913tdr/1KlTiI6Ohre3NzIzMxEcHKy03nXAAJXPXVvLXN3n0U4kAk8gACOToenOHcibm9nz6I0KpwWcA4PQvbuDSr23tczVvR/OjjwI+IBMDlTUyiBtYdjz6Lfv3rsG3d9H9++IwMBAdO3aFWVlZZBIJCgpKWHPo1+4cIHdbsSIETrHNjerSuj29vYm/5K/n499v71mfY4XEhICPp+PwsJCTsuSFz8Pgdu2w53LrnwTKCwshFwuVxpcpC9j1e3SlAokTbFHFw/3zje2IIbUbW5uLiZMmAChUIjMzEyEhYUZXB6BszPchw5DdfYZMFIpbn3zDbpNnozaCxcguXwZAODg7Q230FCdYzs58BHu74CzRc2QyoAf/luHCYOdcemmFNfutCZ0Txc+gv30+4545pln2BH/b7zxBnbu3Inz58/jm2++AQC4ublhxowZesU2JxrlTogBPDw8EBYWhtzcXJXzcTUjRhoU+/qypVYxQ5yi7OxsAEBkZKTBsTTV7SD3IoNiJ30ntYoZ4hQZUrd9+/ZFZGQkjh8/zkkyb9Nz1iw4eLe2sMuP/owLS15A8e5dAMOA5+CAB55bBJ5A0EkU9SYPd4GnS2uKOvlnI1anVyHtZC0YpvVSttmjXSHg63eee82aNYiIiAAAfP311/Dx8cHjjz+O+vp68Pl8fPzxx/D05PbOfKZACZ0QA02ePBk1NTXIyVG+lCpqyRJO4ufFz0NzYyMnsYwtIyMDAoEAEydO5CReR3W7cOowTuIvTalAY5PpB2Dqw5C6dXd3x6FDhzjpOVFk7+GBfmuT4P3443Dw9gZPIICdqys8hg5D8JtvwbV/f71juzvz8epED4weIISnCx8CPiBy5CHc3wHLJ3qgTzf9e/BEIhFOnjyJxMRE9O3bFw4ODvDw8MCECRNw4sQJzJw5U+/Y5mRVXe6EWKKFCxdi3bp12L9/v9r5xrlwcfGiDke/W4r6+nocPHgQkyZNgp+fHycxTVG3K9NbB0JZ8qVsxqhbbWhz6aS9mxt6zZ0HzNWtN0mb+nZ14mP6SBdMN6yzS31sV1esX78e69ev5z64mVALnRAD9ejRA3FxcUhPT0ddXZ3SOk6vJVdz29W2gVuW4MCBA5BIJFi+fHmn22pbbk11a+wEbK11S+5flNAJ4cCGDRsgkUiwc+dOlXVur73GyTEseaKZlpYWbNy4EbGxsRgzZgynsTXV7cJRtZwcw5Jb58asW2JbKKETwoHevXsjLS0NIpFIZV1QWDg8R482KL4lJ3OgdVa3OXPmYOtW7W40owtNdTuof2+M6OOgZi/tWXIyB4xbt8S20Dl0Qjii6TIX/4XPwfWJiShZtVLnuJaezIHW2cqMeb22prqdNdoNY/tXY9Mh3e+RbenJHDB+3RLbQS10QkzEs3v31uSs5ZSSD0yKtYpkbgm6+Xhg+wJvracCfayPi1Ukc0J0QS10QkxMcaR6/pIXIFMY7OXYvTsGbn7bHMWyCYrztK9Or0B90711Xd0FSJxqXRP1EKILSuiEmFHYrt1GP4bfFMu/j7oxbJpl/BZ49IMuRj8GIdqiLndCCCHEBlBCJ4QQQmwAJXRCCCHEBlBCJ4QQQmwAJXRCCCHEBlBCJ4QQQmwAJXRCCCHEBtB16ISY0fnnn4e8oZ597uDri5B3tnB6jCNnJZzGU2TJ12Gv+qISDc337lDn48bHmmmenB7j1nf/4jSeovt1/gCiP0rohJhY3vx4tbdCBYDmO3eQF996X2m3sWMRFD/fhCWzfstSKqC+ZoFysRxLUyoAACMHivD0CCfTFYwQE6Aud0I4IJfLER4ejpiYmA63qbx1qzVZd5DM2xMfP84md0t39epV2NnZYdeuXZzH1qZub5fdxVINyby9M3/Wscnd0hmzboltoYROCAdSU1ORn5/f4V2xivd8jNLVq/SKbQ1JvU+fPpg9ezaSkpIgFos5jd1Z3e7/RYzNP8r0im0NSd2YdUtsCyV0Qgwkk8mQnJyMyMhIDB8+XGX91XPncPfUKY0xItL2sX/qWENSX7FiBcrLy7Fjxw7OYnZWt/kF15FzrVljjO0LvNk/dawhqRujbrkiFYtxY//nuPjaqzj37DO48NKLKPrwAzSUlhocu7ZBjm/PSJD8TRVeTatA4peVSDkhxs0q3W+V255EIsGaNWsQHBwMoVAIT09PxMTE4NdffzU4trlQQifEQIcPH0ZpaSnmzp2rdn3t+1s17u+2/FWtjqMuqUdFRSEgIECr/Y0tNDQU4eHh2Lt3L+RyucZttS13Z3X76Rk3jfs/O1K7AYHqkrq11q0pSaurcSU5CeUZGWiuqADT0oKW2lpU5+Tg8rp/oPbSJb1j19TLsfVQNX4paESVRA6ZHJA0MjhX3Iz3D1Xj6v+keseuq6vDmDFjsGHDBly5cgVNTU24e/cujhw5gqioKBw4cEDv2OZECZ0QA6WmpoLH42HatGkq67RpWYs7SfhtfJ6crGvRTC4uLg6lpaXIzMzkJJ6mutWmZf3pGe1G4T8+2FHnspmaoXVbqkeLOS9+nsbP8I30L9Bc0fo++Iz/PwzauQv+z78A8HhgmptRuncPGJn60yFLUyo0voff/UeCKknrj5fIgUJsnOWJeZGu4PEAqQz44tdayOTajppQtm7dOuTl5QFordeysjIcO3YMzs7OkMvlWLx4MaqqqvSKbU6U0AkxAMMwyMrKQv/+/eHh4aF3nNYvzvgOvzwj0vah51TLv4xp1KhRAIDjx48bHIurul2aUoFln3WcPLYv8MakCFe945uKIXWbnZ2NAQMGYPPmzZyVp6WuDtW5uQAAnr09/J56CnYuLvAcNQouwf0BAM0VFRD/8YfOseub5Dhf3HoqxV4ATBoigsiRjyGBjgjytQcAVEnkuHxL91Y6wzD47LPP2OfvvPMOfHx88NhjjyEuLg4AIBaL8dVXX+kc29wooRNigIKCAlRVVeHBBx9UWZel86hk1dYG38mpw/Pqlmjo0KEAgNOnTxscS1PdfvKvHJ1iMTzVZUJ7Xofn1S2RIXUbEhKCIUOGYPXq1di0aRMn5WkoKQH+bn07+nYD38GBXefUqyf7uP7aNZ1j36hsQVvj29tNAHu7e2+gXxcB+7i4XPeEXlRUhPLycgCAq6sr/P392XWDBg1iH585c0bn2OZG16ETYoAbN24AAHx9fVXWuWcb9oVgTYm8jaurK4RCIVsvhtBUtxdqehsU25oSeRtD6tbFxQVHjhxBTEwMEhISwDAMEhISDCqPtKaGfSxwdlZax3e6d42/VFwDXdU23vtx6+yg/GtMqPC8tkH3Lvc7d+6wj9v3/Li7u6vdzlpYVUKXSqWQSvUfCKHvMRX/vR+OfT++Zn2PWVlZCQDo0qULdwXh8RCRmqZmsZpmpoZ1RUVFZhnU5enpiYqKe93b+pbbGHXLA7BNTTK31roFgICAAJSUlOgUJzExEREREYiOjmaX1RYU4Opm9a339qeCBr77XrstmA6f8sBD4e1mfPiT+kvu2p8KeWu68vutkrKVYhuGaTcnhOJzTZ8JS2VVCf3o0aNwbvdL0FQyMjLMclxzHvt+e8319fWdb9SO098tkYaGBk7KEJS4Bm79+qldt3btWpVlqampqK6uxrJly1TWGXLe2RANDQ1K/0/1LTfXdfvKBBGCuqufHc5a6xYApk+frpLkO5Kfn4+8vDx4eXkhMDDQoLLYK7RmZe3+78gUpjO2c9d8JYI6rsJ7ybShSTnpNkjvPXd10j3pKvb4VFdXK62rUeh1UNczZOmsKqGPHz8ebm66fzgMIZVKkZGRgXHjxsHe3v6+OPb9+JqBe61tXfj4+AAAZyNir21YD0B9d7u6iVWysrJQXFzc4aQrpiaXy1FTU4OQkBB2mb7l5rpud/xUB6BObXe7tdYtALz77rta7X/q1ClER0fD29sbmZmZCA4OVlrvOmCAyueurWWu7vNoJxKBJxCAkcnQdOcO5M3N7Hn0RoXTAs6BQeje3UGl3tta5ureD2dHHgR8QCYHKmplkLYw7Hn023fvXYPu76P7d0RgYCC6du2KsrIySCQSlJSUsOfRL1y4wG43YsQInWObm1UldHt7e5N/yd/Px77fXrM+xwsJCQGfz0dhYSGnZcmLn4fAbdvhzmVXvgkUFhZCLpcrDS7Sl7HqdmlKBZKm2KOLh3vnG1sQQ+o2NzcXEyZMgFAoRGZmJsLCwgwuj8DZGe5Dh6E6+wwYqRS3vvkG3SZPRu2FC5BcvgwAcPD2hltoqM6xnRz4CPd3wNmiZkhlwA//rcOEwc64dFOKa3daE7qnCx/Bfvp9RzzzzDPsiP833ngDO3fuxPnz5/HNN98AANzc3DBjxgy9YpsTjXInxAAeHh4ICwtDbm6uyvm4mhEjDYp9fdlSq5ghTlF2djYAIDIy0uBYmup2kHuRQbGTvpNaxQxxigyp2759+yIyMhLHjx/nJJm36TlrFhy8W1vY5Ud/xoUlL6B49y6AYcBzcMADzy0CTyDoJIp6k4e7wNOlNUWd/LMRq9OrkHayFgzTeinb7NGuEPD1O8+9Zs0aREREAAC+/vpr+Pj44PHHH0d9fT34fD4+/vhjeHpye2c+U6CEToiBJk+ejJqaGuTkKF9KFbVkCSfx8+LnobmxkZNYxpaRkQGBQICJEydyEq+jul04dRgn8ZemVKCxyfQDMPVhSN26u7vj0KFDnPScKLL38EC/tUnwfvxxOHh7gycQwM7VFR5DhyH4zbfg2r+/3rHdnfl4daIHRg8QwtOFDwEfEDnyEO7vgOUTPdCnm/49eCKRCCdPnkRiYiL69u0LBwcHeHh4YMKECThx4gRmzpypd2xzsqoud0Is0cKFC7Fu3Trs379f7XzjXLi4eFGHo98tRX19PQ4ePIhJkybBz8+Pk5imqNuV6a0DoSz5UjZj1K02tLl00t7NDb3mzgPm6tabpE19uzrxMX2kC6Yb1tmlPrarK9avX4/169dzH9xMqIVOiIF69OiBuLg4pKeno66uTmkdp9eSq7ntatvALUtw4MABSCQSLF++vNNttS23pro1dgK21rol9y9K6IRwYMOGDZBIJNi5c6fKOrfXXuPkGJY80UxLSws2btyI2NhYjBkzhtPYmup24ahaTo5hya1zY9YtsS2U0AnhQO/evZGWlgaRSKSyLigsHJ6jRxsU35KTOdA6q9ucOXOwdat2N5rRhaa6HdS/N0b0cVCzl/YsOZkDxq1bYlvoHDohHNF0mYv/wufg+sRElKxaqXNcS0/mQOtsZca8XltT3c4a7Yax/aux6ZDu98i29GQOGL9uie2gFjohJuLZvXtrctZySskHJsVaRTK3BN18PLB9gbfWU4E+1sfFKpI5IbqgFjohJqY4Uj1/yQuQKQz2cuzeHQM3v22OYtkExXnaV6dXoL7p3rqu7gIkTrWuiXoI0QUldELMKGzXbqMfI/pBF6MfwxJtmmX8FrjfFMu/Rz25f1CXOyGEEGIDKKETQgghNoASOiGEEGIDKKETQgghNoASOiGEEGIDKKETQgghNoASOiGEEGIDKKETQgghNoASOiGEEGIDKKETQgghNoASOiGEEGIDKKETQgghNoASOiGEEGIDKKETQgghNoASOiGEEGIDKKETQgghNoASOiGEEGID7MxdAG0wDAMAEIvFJj+2VCpFfX09xGIx7O3t74tj34+vGQBqa2sB3Pu8EUKINbGKhN72RdurVy8zl4TcD2pra+Hu7m7uYhBCiE54jBU0R+RyOW7dugVXV1fweDxzF4fYKIZhUFtbCz8/P/D5dDaKEGJdrCKhE0IIIUQzaoYQQgghNoASOiGEEGIDKKETQgghNoASOiGEEGIDKKETQgghNoASOiGEEGIDKKETQgghNoASOiGEEGIDKKETQgghNoASOiGEEGIDKKETQgghNoASOiGEEGIDKKETQgghNoASOiGEEGIDKKETQgghNoASOiGEEGIDKKETQgghNoASOiGEEGIDKKETQgghNuD/AWrgQpwU1h7HAAAAAElFTkSuQmCC" ], "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 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, 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>"}
[ 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>"}
[ 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, 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>"}
[ 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>"}
[ 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, 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 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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+9jel5R0U9zd79mymsrKS+e2339jkLhKJGLlczq6veLlkZ1OmTGHrc+nSJaa1tZW5du0ac+DAASY1NdVIrUiM4c6dO0qfjd9//13j+suXL2fXnTBhAnP9+nXmxo0bzOOPP84uX758Obu+vgkdAPPyyy8zNTU1zP79+5V+MCjqKj7DGPY38uijjzKXLl1iGhoamLNnz+rWqIr103tLQohF0jahNzQ0sL2l8PBwhmEYprCwkF3v+eefZ2P6+/trjAmAmTx5Mrt+xzI+n8/U1NSwy6OiotiyW7duscs1JfSkpCQGAMPj8Zg5c+Ywb731FpOdnc3cvn2b66YjRnb79m2lz8zJkyc1rq/4uTt9+jS7vKioiF1+3333scv1Teg+Pj7sXScZhmG8vLwYAIyDg4NSHE0JXd+/EQBMRUVFd02nFaNM/co1uVyOmzdvwtXVle5ORYyGYRjU19fDz8+P82v4zSUhIaHLueKdnJwwd+5cfPjhhyguLsbp06fx+eefs+VLly5lHyvOad+VqqoqlWV9+vRRmgNf8TKk5uZmbV4C1q1bh5KSEhw8eBBZWVnsrJJ8Ph+zZs3C559/rjINMbFM3t7ecHNzY899nz17FpGRkV2ur/i5U7yRlOJ5a3WfTabTlRJtbW0a6zVw4ED2rpNA++e0urpap5uE6fs34uPjg379+mm9H02sIqHfvHkT6yc/Ybb9f3y6WOdtvp82Df6uLmrLoj77HIzaEmIJrl27hvvuu8/c1TCJJUuW4MMPPwQApKen48svvwQAPPjgg4iKimLX8/X1xY0bN8Dj8XDjxg307dtXJVbnL1FAu5v/aFoOtF/zm52djdraWpw5cwalpaXIysrCTz/9hC+//BLx8fGYPXt29y+WmB2fz8eUKVPwxRdfAGgf7PjMM8+o/UHW1tbGfu6A9oFoHfd6ULxkzNfXl33s4OCAlpYWpZHicrkcV69e1VgvbT+nmuj7N9LVzZ30YRUJ3dXVFQCQmJgIB6HQpPuWyeWItbPHo48+2u3sc9dffw3yv0ZvavL7gntzwfd76+0uPzxSqRRHjhzRat9cMtd+zb3vmpoaDBo0iP289QQPPPAAhg8fjsLCQuzYsYPtySxZskRpvWnTpuH9998HwzBISEjAtm3bMGDAAFRXV+M///kPPvnkE8yZMwcLFizQqx5eXl7sl/SpU6eUrj/etWsXgPb7yz/wwAOIiopCWVkZfvrpJwBARUWFXvsk5rFu3Tp89913kEgkKC4uxtSpU7F+/XoMHToUEokE//nPf/Duu+/i7bffRnx8PPuD89VXX8Xu3bvB4/Hw6quvsvHi4+PZx4GBgbh48SKqqqqQl5eH6OhovPPOO1rdslsbXl5eqK6uRlVVFW7cuKF0/xBj/41owyoSekfCc3R0VLpftynIZTI42Qvh5eXVZYK5tH49Gi6X6BX/2svtd92KzPxMpUwqlcLJyUnjvo3BXPs197472NJpnczMTGRmZqosLy0tZQ9bLlmyBIWFhWwyd3FxwZw5c5TWT0tLw5EjR3D27Fnk5ORg6NChKjEN6SU/9NBD7J3nOg7BxsTEIDc3F/n5+V1ODW1nZ6dy2R2xbAMHDsS///1vzJw5E1VVVcjOzkZ2drbaddPS0vDLL7+gpKQEP/74o1IC7YilOInSggULkJKSAqD9M+Xs7AyJRAInJydO7j750EMP4fvvv0dDQwN7FK/jtJax/0a0YRsnCs2oKGGB3sm8c5zmTtdUEmIKzzzzjNJRidmzZ6scpfD09ER+fj7Wr1+PyMhIODs7s/dtGD9+PN566y2D7kuQmpqKuXPnwtfXV+UH1VNPPYWZM2ciODgYrq6uEAgE8Pb2RlxcHH755ReLm02MdO/RRx/F+fPnsX79ekRHR8PDwwP29vbw9/fHo48+im3btmHgwIHw8fFBQUEBkpOTMXToUIhEIjg4OGDIkCFYs2YNCgoK4O3tzcZdtWoVkpOTERAQAKFQiMGDB2P//v0YMWIEJ/V+7733MGXKFHh5eamUGftvRBtWMfWrWCzGqrFjsHr1arP00H+3F2LSpEkqPcaiBO4PnTjOmo3Bf00sIJVKceDAAbX7NiZz7dfc+66uroa3tzfq6urg5uZm0n0TQoihrOKQuyXSJZkrHk5nGAanFiZ0uW7TV3tRHxUFV4WBHoQQQkh36JC7HnRJ5h4jhis95/F4gJ3m31GXX1mlV70IIYT0XJTQdXT2ve06rd866iGVZYNS1na73R8rknTaDyGEkJ6NErqOWgsLdVq/Uc0PgEv/1/WtLTuEvfOuTvshhBDSs1FC18G1z1UvLdPGxbRU9vGFtWuBbsYhqruEjRBCCNGEBsXpoOqXX/TarvHqVa3Ouzv274/Bqd333gkhhJDOKKFbCOqVE0IIMQQdctfSFT17592ys6NkTgghxGDUQ9eS9MABzmOG7/4Ugm4uYSOEEEK0QdlES23iOu6C8XiIzFCdX5sQQgjRFyV0LRUF/g8ncQZHDcBD8dGcxCKEEEI6UELX0mmOEvrpauCr9CpsW+Td/cqEEEKIlmhQnJbcHLm9pWZiehUO/ecUpzEJIYT0XJTQtRQTJOE85r9L7kNSehXncQkhhPQ8dMhdSzGRfvj+LIcD4/7CoL23/kw0MGooHYbvaU4vWwZ5UyP7XOjri9A3tpqlLqu/qEZT671ZDH3c+Fg73ZPTfdzc9y9O4ynym/aU0WITYg0ooVuIL/OBL/Pp3HpPULQwocvpf1tv32ZnFXQbNw7BCQuNWpek9Cp0NRFxpViOxL+OII0a6oxnoh2NWhdCiGHokLsOxg4RGX0fielVKDh1wej7IaZXffNme7LuZi7/DuLDh3W6Va8ubt25i0QNybyzvHMNbHInhFgmSug6mD7KxST72VPkjY3/qjHJvgg35HI5IiIiMGnSJLXlZR9/hIo1q/WKzXVS33NMjC0/yPTa1tKT+uXLl2FnZ4cPPvjA3FUhxOTokLuOwv1aUXxTaPT9VNbJjb4Pwp2MjAwUFxdj165dKmWXT51C/fHjGrdXnP5XXQIvSljAyRTBxeevouCKm8Z1FE/7qEvgiRZ82eWAAQMwd+5cpKamYt68eXBz0/xaTanu1CnUFhagsbQU0tpayFtaYN+rF5z6B6HPlClw7NdP79iSZjl+Pt2I8so23Khpg/Sv32sjBzhg7hhXjl6BbTh58iQ2bNiA4uJiVFZWoqGhAe7u7ggLC8O8efOwePFi8HjcXtVkKtRD19Fz/+Nnkv28a6FfmESVTCZDWloaYmJiMHLkSJXy+nfe1ri924qVWu1HXaKPjY1FYGCgVtsDwO48zQnuuVHaXc2hLtHrWhdjWbVqFSorK7F9+3ZzV0VJ5S85qPn1VzRfvw6ZRAJGKkXrnTuozc/DhXWvo+70ab1j1zbIcfRcM8oq7yVzot65c+ewb98+XLlyBWKxGDKZDDU1NTh27BiWLFmCv//97+auot4ooevB2L2TtVOdjBqfcOvAgQOoqKjA/PnzVcq0OVwu7ibhd/B5cqquVVOizeHy3XnanVZ6/AEHg+piTGFhYYiIiMCuXbsgl+t/pKuiokKn9YsSFmh8v3kCATzHjsXAta8hYtcnGPKPN+ASEtJeKJPh1j+/6XLbxPQqje+fo5CHmKEizB/rggnhNHhRk+DgYOzcuRMlJSVoamrC9evXkZCQwJbv3r3bjLUzDB1y19O2Rd5GOZ84eWgDfHpR79yaZGRkgMfjYfr06XrHaE8EPKCLYWqmvCNfYnoVeAzAdHHU0VIPtyuaOXMmUlJScOjQIYwfP17n7fPz8zFu3Di89tprWL1av7EPnQUuewECx3vJVtSnD/xmP4NLaakAgOZbt/SO7eUqwFPR7T/G/nOhyaB62rrRo0dj9OjR7HN/f3+sXLkSmZnt99cQCo1/StVYqIduAK6/2DbOcsP46ABOYxLjYhgGubm5GDx4MDw8PJTKcnUemKWazPmOjpwk80/+VaBbTdQkc5E9zyqSOQD2C/vw4cN6bR8aGoqoqCisWbMGmzdv5qROism8g7y1lX0s9OT2mn/SPblcjmvXruHtt+8dJVu5UrtTYJaIeugG2rbIG+8drMXlP9sMjkOsz/nz51FTU4O4uDiVMvf8PINic9krP1PX36Dtre3zOXz4cADAiRMn9NrexcUFBw8exKRJk5CcnAyGYZCcnMxlFSGXSnHrm6/Z596P634kgehv1KhRyM/PZ5/b2dnhjTfewIoVK8xYK8NQQufAS3EeAIDX9lZD3KTtlb3t3l3oZbUjKglw/fp1AICvry93Qbu4va6mz4m6stLSUoMHqfGgfoCmOeqiC1dXV4hEIvb9URQYGIjy8nKd4qWkpCAyMpL94VZ//jwub1Hfc+98Hn3om2/BwcdHaZmsqQlXt29Dw+XLAIBeDz0Mn79ODZTcasX7P4rVxu58mu/1Gb3g5SrQ6bUQ9dra2rBy5UpIpVK88sor5q6OXqwqoctlMshlph3CKftrUI1UKu123dent48gbm1txVsHWlAtUT8gZ02cDF5e7YfX2tq67tl37FObfXPJXPu1lH3rorq6GgDQq1cvTuoQnLIWboMGqS1bt26dyrKMjAzU1tYiKSlJpazzKQBd/W2iM4L7qh9gZeq66MPT0xNVVarjXGbMmKF2uTrFxcUoKiqCl5cXgoKCOKmX9O5dXH7rTTRfuwYA8H50HO5bsIB+2JtYXl4eZDIZ/vzzT+zevZv9TK9duxaLFi2CT6cfYdaAxzBaTltlRmKxGO7u7sjKyoKTE40AJ8bR2NiIOXPmoK6uTuvrl/fv349p06YhOTkZGzduVCozZEIYbQ+3x8bGoqysDGVlZRrXM2QAp7aH27Wpiynncvf09ISDgwNu6TnY7Pjx44iLi4ODgwMOHTqE8PBwjet3vN+a3rum69dx5a03Ia2pAXg89J0+A32mTOm2Lh3vnzbvxX8uNOGb3xoA0HXouvDw8EBdXfv9OvLy8hAdHW3mGunOqnroEyZMMPlEEVKpFDk5ORg/fjzs7e17xL574msG7vW2ddHxK76mhtuZ/YoSFiDo3W1w56jnb4jE9CqkTrNHLw93c1dFa3K5HHV1dQgNDdVr+8LCQkycOBEikUirZK6N+gsXULrtXcgaG8Gzs8P9i5+Hp8Joa0PIGQaNLe19s9a2e320NhkDSXP7kUKRPQ92AjoKkJSUhDFjxiAqKgp+fn6oqanB7t272WQuEAjQv79hY07MxaoSur29vcm/5Hvyvnvaa9Znf6GhoeDz+SgpKVEpq4seZdDAuKtJiQC4GRw3zL3UoIFxqfukACx3hrjOSkpKIJfLMWzYML22HzhwIGJiYrB582a9Y3T2575/QdbYfmc9pq0N5Ts/RPnOD5XWUXe+XRt3JXL83z/vqiw/WdqKk6XtPzbnPOKC6IHGvx+Fpdu/fz+2bdvWZfmaNWvQu3dvE9aIO3TZGiEG8PDwQHh4OAoLC9H57FXs8uWc7KMoYQFam5sNirH4qRGc1CUxvQrNLaYf36CrjtHLMTExem3v7u6O7OxszpI5sRzLli1DbGws+vbtC6FQCKFQiH79+mHatGnIzs7G+vXrzV1FvVlVD50QSzR16lSkpqaioKBA7dSvXDi7dEmXo99N7dWs9kOTltxbz8nJgUAgwOTJk022z+6OpAxco/9lb921tZerwKLfD0uyevVqziYLsjTUQyfEQIsXL4ZAIMCePXtUyjid4U3N+NXc3NxuB8R1MPYXvi51MabGxkbs378fU6ZMgZ+fae69QIgloIROiIH8/f0xc+ZMZGVloaGhQaXc7eWXOdkPFz8OFo+u56Amlt0737t3LyQSiVVPEEKIPiihE8KBjRs3QiKRYMeOHSplweER8BwzxqD4XPX0hw3uj+gBhs1VbcnJvK2tDZs2bUJ8fDzGjh1r7uoQYlKU0AnhQP/+/ZGZmQlnZ2e15QGLn0fAln/oFZvrG7PMGeOGNZP1Gz5jyckcaJ+5b968eUpzcxPSU9CgOEI4MmvWLI3lnn37wjPzMxQtTFB7Pryz+6fEw2vGDK6qp6SPjwe2LQKS0qu6uL+bsscGuCB+jOVf8hQYGIjU1FRzV4MQs6CEToiJKY5UL17+AmQK590d+vbFUD178vpQnKd9TVYVGlvulfV2FyDlKfNPbEMI0Q4ldELMKPyDD7tfyUQ2zzH+4fTO07MSQrhD59AJIYQQG0AJnRBCCLEBlNAJIYQQG0AJnRBCCLEBlNAJIYQQG0AJnRBCCLEBlNAJIYQQG0DXoRNiRqeXLYO8qZF9LvT1RegbW81Sl9VfVKOp9d68cT5ufKyd7snpPg6elHAaT1Hcgy5Gi02INaCEToiJaZr6tfX2bRQlLAAAuI0bh+CEhUati6apXyvFciSmVwEARg11xjPRjkatCyHEMHTInRATqb55sz1ZazGPOwCIDx9mkzvXbt25i0Qt53EHgLxzDWxyJ4RYJkrohHBALpcjIiICkyZNUlte9vFHqFizWq/YXCf1PcfE2PKDTK9tLT2pX758GXZ2dvjggw/MXRVCTI4OuRPCgYyMDBQXF2PXrl0qZZdPnUL98eMat1e8Raq6BF6UsICT26gWn7+KgituGtdRvEWqugSemF5lsbdRHTBgAObOnYvU1FTMmzcPbm6aX6spScVi3P7+32i8ehWN5eVgpFIAgOcjjyDg+SUGxT57rRWny1tQUdkGcZMcLW0MPJz4uN/bDuPDneDnSV/1HU6ePIkNGzaguLgYlZWVaGhogLu7O8LCwjBv3jwsXrwYPB7P3NXUC/XQCTGQTCZDWloaYmJiMHLkSJXy+nc035vbbcVKrfajLtHHxsYiMDBQq+0BYHee5gT33CjtBq2pS/S61sVYVq1ahcrKSmzfvt3cVVEivXsXlT//jIbLl9lkzpVj55uQX9KCW7UyNLQwaJMBVfVynCxtxdZ/1+Lc9VZO92fNzp07h3379uHKlSsQi8WQyWSoqanBsWPHsGTJEvz97383dxX1RgmdEAMdOHAAFRUVmD9/vkqZNofLxd0k/A4+T07VtWpKtDlcvjtPu5Hijz/gYFBdjCksLAwRERHYtWsX5HK53nEqKip0Wr8oYYHG91vg5ASfCRMQsGwZfKfE6xQ7Mb1K4/sn4APRAx2QNMkdW+d7IeWpXgj2be+Vyxkg+/eGLrftaYKDg7Fz506UlJSgqakJ169fR0JCAlu+e/duM9bOMHQchhADZWRkgMfjYfr06XrHaE8EPKCLYWpcHG7XVmJ6FXgMwHRx1NFSD7crmjlzJlJSUnDo0CGMHz9e5+3z8/Mxbtw4vPbaa1i9Wr+xD505+PjgvrnzAABVhw9zErPDgrGuEAnv9c96uwvw5AhnvJ1dBwC4XaffmAlbNHr0aIwePZp97u/vj5UrVyIzMxMAIBQKzVU1g1EPnRADMAyD3NxcDB48GB4eHkpluToPzFJN5nxHR06S+Sf/KtCtJmqSucieZxXJHAD7hX1Yz8QZGhqKqKgorFmzBps3b+ayakahmMw7SBVyeC9n+qpXRy6X49q1a3j77XtHyVau1O4UmCWiHjohBjh//jxqamoQFxenUuaen2dQbC575Wfq+hu0vbUk8g7Dhw8HAJw4cUKv7V1cXHDw4EFMmjQJycnJYBgGycnJXFbRqNpkDL4vvHeYfcwQmkOgs1GjRiE/P599bmdnhzfeeAMrVqwwY60MQwmdEANcv34dAODr68tdUB4PkRmZahZ3PfJWXVlpaanBg9R4AN5Vk8zNURdduLq6QiQSse+PosDAQJSXl+sULyUlBZGRkewPt/rz53F5i/qee+fz6EPffAsOPj5a76vkVive/1GstqzzefTXZ/SCl6tAaVlzqxy7D9ejrLINADAi2AFjh4i03n9P1dbWhpUrV0IqleKVV14xd3X0YlUJXSqVQsrx6FBt9qn4f0/Yt7lf89XG+3DwpAR8gaD7DTjU1Nim8zbV1dUAgF69enFSh+CUtXAbNEht2bp161SWZWRkoLa2FklJSSplnU8B6OpvE50R3Fd9z87UddGHp6cnqqpUB5LNmDFD7XJ1iouLUVRUBC8vLwQFBXFdRc7VNcqw82cxbt5tP97+cIgIM0Y7W+1lWMaUl5cHmUyGP//8E7t372Y/02vXrsWiRYvgo8OPMEvBYxgtp60yI7FYDHd3d2RlZcHJycnc1SFGdrXxPrPsVyqV4tWE0airq9P6+uX9+/dj2rRpSE5OxsaNG5XKDJkQRtvD7bGxsSgrK0NZWZnG9QyZEEbbw+3a1MWUc7l7enrCwcEBt27d0ive8ePHERcXBwcHBxw6dAjh4eEa1+94v7V576oOH8a1zIz2empxHXrH+6fpvbh1tw07c8SobZCDB+CJKCeMD6fvS215eHigrq59EGFeXh6io6PNXCPdWVUPfcKECSafKEIqlSInJwfjx4+Hvb19j9i3uV/zR9+dR3BQkBl66E06b9PxK76mpobTuhQlLEDQu9vgzlHP3xCJ6VVInWaPXh7u5q6K1uRyOerq6hAaGqrX9oWFhZg4cSJEIpFWyVwbjFwOWUP7eW1ZS8u9ukrb0FZfDwDgi0Tg6/E3d/lPKT45JEZTKwMBH5g7xhVRQZZ7aaE5JSUlYcyYMYiKioKfnx9qamqwe/duNpkLBAL072/YmBNzsaqEbm9vb/IE05P3bc7XzBcIIOCbdmQuX6D7/kJDQ8Hn81FSUqJSVhc9yqCBcVeTEgFwMzhumHupQQPjUvdJAVjuDHGdlZSUQC6XY9iwYXptP3DgQMTExGDz5s16x+istboa5/7+ssry2vw81P71Obl/8fPwGjNG59gHixrYO+XJ5MBnR+vx2dF6pXXUnW/vifbv349t27Z1Wb5mzRr07t3bhDXiDl3LQIgBPDw8EB4ejsLCQnQ+exW7fDkn+yhKWIDW5maDYix+agQndUlMr0Jzi+nHVuiqY/RyTEyMXtu7u7sjOzubs2ROLMeyZcsQGxuLvn37QigUQigUol+/fpg2bRqys7Oxfv16c1dRb1bVQyfEEk2dOhWpqakoKChQO/UrF84uXdLl6HdTezWr/dCkJffWc3JyIBAIMHnyZJPts7sjKQ4+PnofbemurV+K89Arbk+0evVqziYLsjTUQyfEQIsXL4ZAIMCePXtUyjid4U3N+NXc3NxuB8R1MHYC1qUuxtTY2Ij9+/djypQp8PPzM3d1CDEZSuiEGMjf3x8zZ85EVlYWGhpU58x2e1n1vKk+uPhxsHh0ffcracGSe+d79+6FRCKx6glCCNEHJXRCOLBx40ZIJBLs2LFDpSw4PAKeegx0UsRVT3/Y4P6IHmDYXNWWnMzb2tqwadMmxMfHY+zYseauDiEmRQmdEA70798fmZmZcHZ2VlsesPh5BGz5h16xub4xy5wxblgzWb/hM5aczIH2mfvmzZunNDc3IT0FDYojhCOzZs3SWO7Zty88Mz9D0cIEtefDO7t/Sjy8ZszgqnpK+vh4YNsiICm9qov7uyl7bIAL4sdY/vShgYGBSE1NNXc1CDELSuiEmJjiSPXi5S+wk40AgEPfvhiqZ09eH4rztK/JqkLjvflO0NtdgJSnzD+xDSFEO5TQCTGj8A8+NHcVWJvnGP9weufpWQkh3KFz6IQQQogNoIROCCGE2ABK6IQQQogNoIROCCGE2ABK6IQQQogNoIROCCGE2ABK6IQQQogNoOvQCTGj08uWQd7UyD4X+voi9I2tnO7j5r5/cRpPkd+0p4wW21Crv6hGU+u9efB83PhYO92T030cPCnhNJ4iumaf6IoSOiEmpmnq19bbt1GUsAAA4DZuHIITFpqwZtZP01S2lWI5EtOrAACjhjrjmWhH01WMEBOgQ+6EcEAulyMiIgKTJk3qcp3qmzfbk7UW87gDgPjwYTa5W7rLly/Dzs4OH3zwAeextWnbW3fuIlHLeekBIO9cA5vcLZ0x25bYFkrohHAgIyMDxcXFXd4YpOzjj1CxZrVesa0hqQ8YMABz585FamoqxGIxp7G7a9s9x8TY8oNMr9jWkNSN2bbEtlBCJ8RAMpkMaWlpiImJwciRI1XKL586hbvHj2uMEZn5GftPHWtI6qtWrUJlZSW2b9/OWczu2rb4/FUUXGnVGGPbIm/2nzrWkNSN0bZckYrFuL7nc5x9eSVOPfcszrz4vyh9/z00VVQYHLu+SY5v8yRI+6YGKzOrkPJlNdKPiHGjps3g2BKJBGvXrkVISAhEIhE8PT0xadIk/PrrrwbHNhdK6IQY6MCBA6ioqMD8+fPVlte/o/ne3G4rVmq1H3VJPTY2FoGBgVptb2xhYWGIiIjArl27IJfLNa6rbb27a9vdeW4at39ulHaD1tQldWttW1OS1tbiUloqKnNy0FpVBaatDW319agtKMDF9f+H+gsX9I5d1yjH29m1OHa+GTUSOWRyQNLM4FRZK97JrsXlP6V6x25oaMDYsWOxceNGXLp0CS0tLbh79y4OHjyI2NhY7N27V+/Y5kQJnRADZWRkgMfjYfr06Spl2vSsxd0k/A4+T07VtWomN3PmTFRUVODQoUOcxNPUttr0rHfnaTdS/PEHHHSum6kZ2rYVevSYixIWaPwMX8/6Aq1V7e+Dz4T/wbAdHyBg2QsAjwemtRUVuz4GI1N/OiQxvUrje7jvvxLUSNp/vMQMFWHTHE8siHEFjwdIZcAXv9ZDJtd21ISy9evXo6ioCEB7u965cwe//PILnJycIJfLsXTpUtTU1OgV25wooRNiAIZhkJubi8GDB8PDw0PvOO1fnAldfnlGZn6G+56y3EvEOowePRoAcPjwYYNjcdW2ielVSPq06+SxbZE3pkS66h3fVAxp2/z8fAwZMgRbtmzhrD5tDQ2oLSwEAPDs7eH39NOwc3GB5+jRcAkZDABoraqC+I8/dI7d2CLH6bL2Uyn2AmBKlDOcHfiICnJAsK89AKBGIsfFm7r30hmGwaeffso+f+ONN+Dj44PHHnsMM2fOBACIxWJ89dVXOsc2N0rohBjg/PnzqKmpwYMPPqhSlqvzqGTV3gbf0bHL8+qWaPjw4QCAEydOGBxLU9t+8q8CnWIxPNVlIntel+fVLZEhbRsaGoqoqCisWbMGmzdv5qQ+TeXlwF+9bwffPuALhWyZY7/72MeNV67oHPt6dRs6Ot/ebgLY2917A/16CdjHZZW6J/TS0lJUVlYCAFxdXREQEMCWDRs2jH2cl5enc2xzo+vQCTHA9evXAQC+vr4qZe75hn0hWFMi7+Dq6gqRSMS2iyE0te2Zuv4GxbamRN7BkLZ1cXHBwYMHMWnSJCQnJ4NhGCQnJxtUH2ldHftY4OSkVMZ3vHeNv1RcB13VN9/7ceskVP41JlJ4Xt+k+yH327dvs487H/lxd3dXu561sKqELpVKIZXqPxBC330q/t8T9m0Jr1nexXk3Y5LLdB9sVF1dDQDo1asXdxXh8RCZkalmsZpupoay0tJSswzq8vT0RFXVvcPb+tbbGG3LA/CummRurW0LAIGBgSgvL9cpTkpKCiIjIxEXF8cuqz9/Hpe3qO+9dz4VNPTNtzqtwXT5lAceSm614v0f1V9y1/lUyOszlN9vlZStFNswTKc5IRSfa/pMWCqrSug///wznDr9EjSVnJwcs+zXnPs2136DnADmz+swdUpva2zsfqVOHP/qiTQ1NXFSh+CUtXAbNEht2bp161SWZWRkoLa2FklJSSplhpx3NkRTU5PS36m+9ea6bf820RnBfdXPDmetbQsAM2bMUEnyXSkuLkZRURG8vLwQFBRkUF3sFXqzsk5/OzKF6Yzt3DVfiaCOq+heMm1qUU66TdJ7z10ddU+6ikd8amtrlcrqFI46qDsyZOmsKqFPmDABbm66fzgMIZVKkZOTg/Hjx8Pe3r5H7LsnvmbgXm9bFz4+PgDA2YjYKxs3AFB/uF3dxCq5ubkoKyvrctIVU5PL5airq0NoaCi7TN96c922239sANCg9nC7tbYtALz55ptabX/8+HHExcXB29sbhw4dQkhIiFK565AhKp+7jp65us+jnbMzeAIBGJkMLbdvQ97ayp5Hb1Y4LeAUFIy+fYUq7d7RM1f3fjg58CDgAzI5UFUvg7SNYc+j37p77xr0AB/dvyOCgoLQu3dv3LlzBxKJBOXl5ex59DNnzrDrRUdH6xzb3Kwqodvb25v8S74n77unvWZ99hcaGgo+n4+SkhJO61KUsABB726DO5eH8k2gpKQEcrlcaXCRvozVtonpVUidZo9eHu7dr2xBDGnbwsJCTJw4ESKRCIcOHUJ4eLjB9RE4OcF9+AjU5ueBkUpx85tv0GfqVNSfOQPJxYsAAKG3N9zCwnSO7SjkIyJAiJOlrZDKgO9/b8DEB5xw4YYUV263J3RPFz5C/PT7jnj22WfZEf+vvPIKduzYgdOnT+Obb74BALi5uWHWrFl6xTYnGuVOiAE8PDwQHh6OwsJClfNxddGjDIp9NSnRKmaIU5Sfnw8AiImJMTiWprYd5l5qUOzUfVKrmCFOkSFtO3DgQMTExODw4cOcJPMO982ZA6F3ew+78uefcGb5Cyj78AOAYcATCnH/80vAEwi6iaLe1JEu8HRpT1FHzzVjTVYNMo/Wg2HaL2WbO8YVAr5+57nXrl2LyMhIAMDXX38NHx8fPP7442hsbASfz8dHH30ET09u78xnCpTQCTHQ1KlTUVdXh4IC5UupYpcv5yR+UcICtDY3cxLL2HJyciAQCDB58mRO4nXVtoufGsFJ/MT0KjS3mH7wpz4MaVt3d3dkZ2dzcuREkb2HBwatS4X3449D6O0NnkAAO1dXeAwfgZDXXofr4MF6x3Z34mPlZA+MGSKCpwsfAj7g7MBDRIAQKyZ7YEAf/Y/gOTs74+jRo0hJScHAgQMhFArh4eGBiRMn4siRI5g9e7besc3Jqg65E2KJFi9ejPXr12PPnj1q5xvnwtmlS7oc/W4pGhsbsX//fkyZMgV+fn6cxDRF276a1T4QypIvZTNG22pDm0sn7d3c0G/+AmC+bkeTtGlvV0c+ZoxywQzDDnapj+3qig0bNmDDhg3cBzcT6qETYiB/f3/MnDkTWVlZaGhoUCrj9FpyNbdd7Ri4ZQn27t0LiUSCFStWdLuutvXW1LbGTsDW2rak56KETggHNm7cCIlEgh07dqiUub38Mif7sOSJZtra2rBp0ybEx8dj7NixnMbW1LaLR9dzsg9L7p0bs22JbaGETggH+vfvj8zMTDg7O6uUBYdHwHPMGIPiW3IyB9pndZs3bx7eflu7G83oQlPbDhvcH9EDhGq20p4lJ3PAuG1LbAudQyeEI5oucwlY/Dxcn5iM8tWv6hzX0pM50D5bmTGv19bUtnPGuGHc4Fpsztb9HtmWnswB47ctsR3UQyfERDz79m1PzlpOKXn/lHirSOaWoI+PB7Yt8tZ6KtDHBrhYRTInRBfUQyfExBRHqhcvfwEyhcFeDn37YuiWf5ijWjZBcZ72NVlVaGy5V9bbXYCUp6xroh5CdEEJnRAzCv/gQ6Pvw2+a5d9H3Rg2zzF+DzzuQRej74MQbdEhd0IIIcQGUEInhBBCbAAldEIIIcQGUEInhBBCbAAldEIIIcQGUEInhBBCbAAldEIIIcQG0HXohJjR6WXLIG9qZJ8LfX0R+sZWTvdx8KSE03iKLPk67NVfVKOp9d4d6nzc+Fg73ZPTfdzc9y9O4ynqqfMHEP1RQifExIoWJqi9FSoAtN6+jaKE9vtKu40bh+CEhSasmfVLSq+C+pYFKsVyJKZXAQBGDXXGM9GOpqsYISZAh9wJ4YBcLkdERAQmTZrU5TrVN2+2J+suknln4sOH2eRu6S5fvgw7Ozt88MEHnMfWpm1v3bmLRA3JvLO8cw1scrd0xmxbYlsooRPCgYyMDBQXF3d5V6yyjz9CxZrVesW2hqQ+YMAAzJ07F6mpqRCLxZzG7q5t9xwTY8sPMr1iW0NSN2bbEttCCZ0QA8lkMqSlpSEmJgYjR45UKb986hTuHj+uMUZk5mfsP3WsIamvWrUKlZWV2L59O2cxu2vb4vNXUXClVWOMbYu82X/qWENSN0bbckUqFuP6ns9x9uWVOPXcszjz4v+i9P330FRRYXDs+iY5vs2TIO2bGqzMrELKl9VIPyLGjRrdb5XbmUQiwdq1axESEgKRSARPT09MmjQJv/76q8GxzYUSOiEGOnDgACoqKjB//ny15fXvvK1xe7cVK7Xaj7qkHhsbi8DAQK22N7awsDBERERg165dkMvlGtfVtt7dte3uPDeN2z83SrsBgeqSurW2rSlJa2txKS0VlTk5aK2qAtPWhrb6etQWFODi+v9D/YULeseua5Tj7exaHDvfjBqJHDI5IGlmcKqsFe9k1+Lyn1K9Yzc0NGDs2LHYuHEjLl26hJaWFty9excHDx5EbGws9u7dq3dsc6KEToiBMjIywOPxMH36dJUybXrW4m4SfgefJ6fqWjWTmzlzJioqKnDo0CFO4mlqW2161rvztBuF//gDDjrXzdQMbdsKPXrMRQkLNH6Gr2d9gdaq9vfBZ8L/YNiODxCw7AWAxwPT2oqKXR+Dkak/HZKYXqXxPdz3XwlqJO0/XmKGirBpjicWxLiCxwOkMuCLX+shk2s7akLZ+vXrUVRUBKC9Xe/cuYNffvkFTk5OkMvlWLp0KWpqavSKbU6U0AkxAMMwyM3NxeDBg+Hh4aF3nPYvzoQuvzwjMz/DfU9Z/mVMo0ePBgAcPnzY4FhctW1iehWSPu06eWxb5I0pka56xzcVQ9o2Pz8fQ4YMwZYtWzirT1tDA2oLCwEAPHt7+D39NOxcXOA5ejRcQgYDAFqrqiD+4w+dYze2yHG6rP1Uir0AmBLlDGcHPqKCHBDsaw8AqJHIcfGm7r10hmHw6aefss/feOMN+Pj44LHHHsPMmTMBAGKxGF999ZXOsc2NEjohBjh//jxqamrw4IMPqpTl6jwqWbW3wXd07PK8uiUaPnw4AODEiRMGx9LUtp/8q0CnWAxPdZnIntfleXVLZEjbhoaGIioqCmvWrMHmzZs5qU9TeTnwV+/bwbcP+EIhW+bY7z72ceOVKzrHvl7dho7Ot7ebAPZ2995Av14C9nFZpe4JvbS0FJWVlQAAV1dXBAQEsGXDhg1jH+fl5ekc29zoOnRCDHD9+nUAgK+vr0qZe75hXwjWlMg7uLq6QiQSse1iCE1te6auv0GxrSmRdzCkbV1cXHDw4EFMmjQJycnJYBgGycnJBtVHWlfHPhY4OSmV8R3vXeMvFddBV/XN937cOgmVf42JFJ7XN+l+yP327dvs485Hftzd3dWuZy2sKqFLpVJIpfoPhNB3n4r/94R998TXrO8+q6urAQC9evXiriI8HiIzMtUsVtPN1FBWWlpqlkFdnp6eqKq6d3hb33obo215AN5Vk8yttW0BIDAwEOXl5TrFSUlJQWRkJOLi4thl9efP4/IW9b33zqeChr75Vqc1mC6f8sBDya1WvP+j+kvuOp8KeX2G8vutkrKVYhuG6TQnhOJzTZ8JS2VVCf3nn3+GU6dfgqaSk5Njlv2ac9897TU3NjZ2v1Injn/1RJqamjipQ3DKWrgNGqS2bN26dSrLMjIyUFtbi6SkJJUyQ847G6KpqUnp71TfenPdtn+b6Izgvupnh7PWtgWAGTNmqCT5rhQXF6OoqAheXl4ICgoyqC72Cr1ZWae/HZnCdMZ27pqvRFDHVXQvmTa1KCfdJum9566OuiddxSM+tbW1SmV1Ckcd1B0ZsnRWldAnTJgANzfdPxyGkEqlyMnJwfjx42Fvb98j9t0TXzNwr7etCx8fHwDgbETslY0bAKg/3K5uYpXc3FyUlZV1OemKqcnlctTV1SE0NJRdpm+9uW7b7T82AGhQe7jdWtsWAN58802ttj9+/Dji4uLg7e2NQ4cOISQkRKncdcgQlc9dR89c3efRztkZPIEAjEyGltu3IW9tZc+jNyucFnAKCkbfvkKVdu/omat7P5wceBDwAZkcqKqXQdrGsOfRb929dw16gI/u3xFBQUHo3bs37ty5A4lEgvLycvY8+pkzZ9j1oqOjdY5tblaV0O3t7U3+Jd+T993TXrM++wsNDQWfz0dJSQmndSlKWICgd7fBnctD+SZQUlICuVyuNLhIX8Zq28T0KqROs0cvD/fuV7YghrRtYWEhJk6cCJFIhEOHDiE8PNzg+gicnOA+fARq8/PASKW4+c036DN1KurPnIHk4kUAgNDbG25hYTrHdhTyEREgxMnSVkhlwPe/N2DiA064cEOKK7fbE7qnCx8hfvp9Rzz77LPsiP9XXnkFO3bswOnTp/HNN98AANzc3DBr1iy9YpsTjXInxAAeHh4IDw9HYWGhyvm4uuhRBsW+mpRoFTPEKcrPzwcAxMTEGBxLU9sOcy81KHbqPqlVzBCnyJC2HThwIGJiYnD48GFOknmH++bMgdC7vYdd+fNPOLP8BZR9+AHAMOAJhbj/+SXgCQTdRFFv6kgXeLq0p6ij55qxJqsGmUfrwTDtl7LNHeMKAV+/89xr165FZGQkAODrr7+Gj48PHn/8cTQ2NoLP5+Ojjz6Cpye3d+YzBUrohBho6tSpqKurQ0GB8qVUscuXcxK/KGEBWpubOYllbDk5ORAIBJg8eTIn8bpq28VPjeAkfmJ6FZpbTD8AUx+GtK27uzuys7M5OXKiyN7DA4PWpcL78cch9PYGTyCAnasrPIaPQMhrr8N18GC9Y7s78bFysgfGDBHB04UPAR9wduAhIkCIFZM9MKCP/kfwnJ2dcfToUaSkpGDgwIEQCoXw8PDAxIkTceTIEcyePVvv2OZkVYfcCbFEixcvxvr167Fnzx61841z4ezSJV2OfrcUjY2N2L9/P6ZMmQI/Pz9OYpqibV/Nah8IZcmXshmjbbWhzaWT9m5u6Dd/ATBft6NJ2rS3qyMfM0a5YIZhB7vUx3Z1xYYNG7Bhwwbug5sJ9dAJMZC/vz9mzpyJrKwsNDQ0KJVxei25mtuudgzcsgR79+6FRCLBihUrul1X23praltjJ2BrbVvSc1FCJ4QDGzduhEQiwY4dO1TK3F5+mZN9WPJEM21tbdi0aRPi4+MxduxYTmNratvFo+s52Ycl986N2bbEtlBCJ4QD/fv3R2ZmJpydnVXKgsMj4DlmjEHxLTmZA+2zus2bNw9vv63djWZ0oalthw3uj+gBQjVbac+Skzlg3LYltoXOoRPCEU2XuQQsfh6uT0xG+epXdY5r6ckcaJ+tzJjXa2tq2zlj3DBucC02Z+t+j2xLT+aA8duW2A7qoRNiIp59+7YnZy2nlLx/SrxVJHNL0MfHA9sWeWs9FehjA1ysIpkTogvqoRNiYooj1YuXvwCZwmAvh759MXTLP8xRLZugOE/7mqwqNLbcK+vtLkDKU9Y1UQ8huqCETogZhX/wodH3Efegi9H3YYk2zzF+D9xvmuXfo570HHTInRBCCLEBlNAJIYQQG0AJnRBCCLEBlNAJIYQQG0AJnRBCCLEBlNAJIYQQG0AJnRBCCLEBlNAJIYQQG0AJnRBCCLEBlNAJIYQQG0AJnRBCCLEBlNAJIYQQG0AJnRBCCLEBlNAJIYQQG0AJnRBCCLEBlNAJIYQQG0AJnRBCCLEBduaugDYYhgEAiMVik+9bKpWisbERYrEY9vb2PWLfPfE1A0B9fT2Ae583QgixJlaR0Du+aPv162fmmpCeoL6+Hu7u7uauBiGE6ITHWEF3RC6X4+bNm3B1dQWPxzN3dYiNYhgG9fX18PPzA59PZ6MIIdbFKhI6IYQQQjSjbgghhBBiAyihE0IIITaAEjohhBBiAyihE0IIITaAEjohhBBiAyihE0IIITaAEjohhBBiAyihE0IIITaAEjohhBBiAyihE0IIITaAEjohhBBiAyihE0IIITaAEjohhBBiAyihE0IIITaAEjohhBBiAyihE0IIITaAEjohhBBiAyihE0IIITaAEjohhBBiA/4fzUFm5mDyaiQAAAAASUVORK5CYII=" ], "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>"}
[ 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>"}
[ 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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F/P3vf1fZrqBc3nPPPceUl5czv/32GxvcRSIRI5fL2f2VL5dsa+LEiWx9Ll++zEgkEubGjRvMwYMHmeTkZDO1IjGHe/fuqXw2fv/9d537L1myhN137NixzM2bN5lbt24xTz31FLt9yZIl7P7GBnQAzGuvvcZUVlYy+/fvV/nBoExb/gxj2t/IqFGjmMuXLzP19fXM+fPnDWtU5foZfSQhxCbpG9Dr6+vZ3lJkZCTDMAyTn5/P7vfSSy+xeQYHB+vMEwAzYcIEdn/FNj6fz1RWVrLbBw4cyKbduXOH3a4roC9btowBwPB4PGbmzJnMO++8wxw4cIC5e/cu101HzOzu3bsqn5nTp0/r3F/5c3f27Fl2e0FBAbu9c+fO7HZjA3pAQAB710mGYRg/Pz8GAOPi4qKSj66AbuzfCACmrKysvabTi1mWfuWaXC7H7du34enpSXenImbDMAxqa2sRFBTE+TX81pKQkKB1rXg3NzfMmjULO3bsQGFhIc6ePYsvvviCTX/55ZfZx8pr2msjFovVtnXs2FFlDXzly5Campr0eQlISkpCcXExDh06hMzMTHZVST6fjxkzZuCLL75QW4aY2CZ/f394eXmx577Pnz+P6Ohorfsrf+6UbySlfN5a02eTaXOlREtLi8569ejRg73rJND6Oa2oqDDoJmHG/o0EBASgS5cuepeji10E9Nu3b3P2gu3NwqjI9ncyk51nC61S7tD4f1ilXADI/X4Lbty4gc6dO1utDpa0cOFC7NixAwCQlpaGr776CgAwYMAADBw4kN0vMDAQt27dAo/Hw61bt9CpUye1vNp+iQL63fxH13ag9ZrfAwcOoKqqCufOnUNJSQkyMzPx008/4auvvkJ8fDyee+659l8ssTo+n4+JEyfiyy+/BNA62fH555/X+IOspaWF/dwBrRPRFPd6UL5kLDAwkH3s4uKC5uZmlZnicrkc165d01kvfT+nuhj7N6Lt5k7GsIuA7unpCQAoKSlhH1uKVCrFsWPHMGrUKKNWnzO17MKdnyC0a1cILNhjlMnlKC0pQcrhn6zymj8/UoquoV3BF1i2l9zY2Ijc77dY/DNmTf3798egQYOQn5+Pjz76iO3JLFy4UGW/yZMn48MPPwTDMEhISMDWrVvRvXt3VFRU4D//+Q8+/fRTzJw5E3PnzjWqHn5+fuyX9JkzZ1SuP961axeA1vvL9+/fHwMHDkRpaSl++uknAEBZWZlRZRLrSEpKwnfffYe6ujoUFhZi0qRJWL9+Pfr27Yu6ujr85z//wfvvv493330X8fHx7A/OVatWYffu3eDxeFi1ahWbX3x8PPs4NDQUly5dglgsxqlTpzB06FC89957et2yWx9+fn6oqKiAWCzGrVu3VO4fYu6/EX3YRUBX/Fry9fWFl5eXRcuWSqVwc3ODn5+fVYKbUCiEm6sr+BYcUpTLZBAKhVZ8zbfg6uZq0R8xyhzptE5GRgYyMjLUtpeUlLDDlgsXLkR+fj4bzD08PDBz5kyV/VNSUnDs2DGcP38eWVlZ6Nu3r1qepvSSH3vsMfbOc4oh2JiYGOTk5CA3N1fr0tBOTk5ql90R29ajRw98//33mD59OsRiMQ4cOIADBw5o3DclJQU///wziouLcfjwYZUAqshLeRGluXPnYu3atQBaP1Pu7u6oq6uDm5sbJ3effOyxx/DDDz+gvr6eHcVTnNYy99+IPhzjRCEhxGjPP/+8yqjEc889pzZK4evri9zcXKxfvx7R0dFwd3dn79swZswYvPPOOybdlyA5ORmzZs1CYGCg2g+qKVOmYPr06QgLC4OnpycEAgH8/f0RFxeHn3/+2eZWEyPtGzVqFIqKirB+/XoMHToUPj4+EAqFCA4OxqhRo7B161b06NEDAQEByMvLQ2JiIvr27QuRSAQXFxf06dMHa9asQV5eHvz9/dl8V65cicTERISEhMDZ2Rm9e/fG/v37MXjwYE7q/cEHH2DixInw8/NTSzP334g+7GLp15qaGnh7e6O6utoqPfSDBw9i/PjxVumt/mfLZvTo0cPiPfTi4mI88Y+VVnnNH/67ED169LB4D72hsRHTnnjEKp8zQggxFfXQCSGEEAdAAZ0QQghxABTQCSGEEAdAAZ0QQghxABTQCSGEEAdAAZ0QQghxABTQCSGEEAdAAZ0QQghxABTQCSGEEAdAAZ0QQghxABTQCSGEEAdAAZ0QQghxABTQCSGEEAdAAZ0QQghxAE7WrgAhD7OzixZB3tjAPncODET4ps1WqcvqLyvQKHlwN+UALz5en+rLaRm3933LaX7KgiZPMVvehNgDCuiEWFjBvASAYTSmSe7eRUHCXACA1+jRCEuYZ9a6LEsTQ3NNgPIaOZamiQEAw/q64/mhrmatCyHENDTkToiFVNy+3RqstQTztmqOHmWDO9fu3LuPpTqCeVunLtSzwZ0QYpsooBPCAblcjqioKIwfP15jeunOT1C2ZrVReXMd1Pccr8FbP8qMOtbWg/qVK1fg5OSE7du3W7sqhFgcDbkTwoH09HQUFhZi165damlXzpxB7YkTOo+PzvicfawpgBckzFXZx1iFRdeQd9VL5z5b5/uzjzUF8KVpYpV9bEn37t0xa9YsJCcnY/bs2fDy0v1aLan6zBlU5eehoaQE0qoqyJubIezQAW5du6HjxIlw7dLF6LzrmuQ4crYB18tbcKuyBdK/fq8N6e6CWSM8OXoFjuXChQvYtGkTjh49irt378LNzQ0hISF45plnkJKSYu3qGYV66ISYSCaTISUlBTExMRgyZIhaeu177+o83mv5Cr3K0RToY2NjERoaqtfxALD7lO4A9+KwOr3y0RToDa2LuaxcuRLl5eXYtm2btauiovznLFT++iuabt6ErK4OjFQKyb17qMo9hYtJb6D67Fmj866ql+OXC00oLX8QzIl23377LQYMGICMjAzcuHEDEokEVVVVOHv2LL788ktrV89oFNAJMdHBgwdRVlaGOXPmqKXpM1xe007AVwh4ZpKhVVOhz3D57lMeeuX1VH8Xk+piThEREYiKisKuXbsgl8uNzqesrMyg/QsS5up8v3kCAXxHjkSP19chaten6PP2Jnj06tWaKJPhzr+/1nrs0jSxzvfP1ZmHmL4izBnpgbGRNHlRl5KSEsyZMwfNzc3w9vZGeno67t27h5qaGuTl5WH58uXWrqLRaMidEBOlp6eDx+Nh6tSpRufRGgh4gJZpalwMt+traZoYPAZgeJrTbXW4Xdn06dOxdu1aZGdnY8yYMQYfn5ubi9GjR2PdunVYvdq4uQ9thS5aDIHrg2Ar6tgRQc89j8spyQCApjt3jM7bz1OAKUNbf4z952KjSfV0dFu3bkVDQ+ulolu2bEFCQgKbNmjQIAwaNMhaVTMZ9dAJMQHDMMjJyUHv3r3h4+OjkpZj8MQs9WDOd3XlJJh/+m2eYTXREMxFQp5dBHMAGD58OADg6NGjRh0fHh6OgQMHYs2aNUhNTeWkTsrBXEEukbCPnX25veafaJaVlcU+vnLlCvr27QuRSITg4GAsWbIElZWVVqydaaiHTogJioqKUFlZibi4OLU079xTJuXNZa/8XHVXk463l0CuoOhlnTx50qjjPTw8cOjQIYwfPx6JiYlgGAaJiYlcVhFyqRR3vv4X+9z/KcNHEojhSktL2cdvv/02+/j27dvYsWMHfvnlF+Tl5cHNzc0KtTMNBXRCTHDz5k0AQGBgIHeZ8niITs/QsFnLGLiWtJKSEpMnqfEAvK8hmFujLobw9PSESCRi3x9loaGhuH79ukH5rV27FtHR0ewPt9qiIlx5S3PPve159L5b3oFLQIDKNlljI65t24r6K1cAAB0eexwBf50aKL4jwYeHazTm3fY8+hvTOsDPU2DQa3nYSaVS9nH//v3xww8/AAAmTJiAs2fP4sKFC/jss8/wyiuvWKuKRrOrgC6VSlXeDEuVqfy/NcqWmTCxxxiK8qz5muUyy0/VlcsMb+eKigoAQIcOHTipQ9ja1+HVs6fGtKSkJLVt6enpqKqqwrJly9TS2p4CMNTfx7kjrJPmCVaWrosxfH19IRarTySbNm2axu2aFBYWoqCgAH5+fujWrRsn9ZLev48r72xB040bAAD/UaPRee5cnT+SCHcCAgJw+/ZtAMC8efPQuXNnAMD8+fPZz+7vv/9ureqZxK4C+pEjR6w2DKJ83sWi+objjAG7t7S04NGfs+DU0KAx/Y8nn4KXt7de5VrrNXdzA5g/b8LSIb1FS5vp4vrXedHGRm4mIl3d8CYAzcPtycnJattycnJQWlqqMc1U2w7XA6jXONxu6boYo7GxUeP3xZYtW/Q6/sSJE4iLi4O/vz+ys7PRSzEjHYBnnz5q75GiZ67rVEnjzZu4+s4WSCsrAR4PnaZOQ8eJE1X26dHJWa3NFT1zezv1YYsGDx6M7777Tm07o7SCoz0OtwN2FtDHjh1r8YUipFIpsrKyMGbMGAiFQpstu2j5cshqNQ/TKYvI/pl9HL7rU429Ant5zVxT9LYNEfDXUCrXE2kKEuai2/tb4c1Rz98US9PESJ4sRAcfPX4I2gi5XI7q6mqEh4cbdXx+fj7GjRsHkUiE7OxsREZGmlyn2osXUbL1fcgaGsBzcsKjC16C71+T90wlZxg0NLcGJEnLg8DUImNQ19Q68iQS8uAkoFGAF154gQ3o6enp7NUpGRkPTnONHTvWKnUzlV0FdKFQaPEveVsv+/L69ai/UmxUvudfWgBAe4/CVl+zOcs0VHh4OPh8PoqL1d+D6qHDTJoYd23ZUgDcTI7r511i0sS45H1SALa7QlxbxcXFkMvl6Nevn1HH9+jRAzExMUhNTTU6j7b+3PctZH+NAjEtLbj+8Q5c/3iHyj6azrfr436dHP/37/tq20+XSHC6pPXH5swnPDC0h8iImjuW+Ph4JCQkICMjA2fOnEGXNiv0TZ48GfHx8VaqnWnosjU7VpAw1+hg3jafppr2e/dEnY+PDyIjI5Gfn68yZAcAsUuWcFJGQcJcSJqaTMpjwZTBnNRlaZoYTc2Wn1thqNzcXABATEyMUcd7e3vjwIEDnAVzYls+++wzbN++HQMGDICrqytcXV0RHR2NrVu34uuvv7bb+Qx21UMnD3B9w46iV1+B64zn0FvLzUWIdpMmTUJycjLy8vI0Lv3KhfMvL9Q6+93SVmVWA7Dt87lZWVkQCASYMGGCxcpsbySlxxrjL3trr639PAU2/X7YGj6fj8WLF2Px4sXWrgqnqIduhwwJ5tEZn7P/+rcTDBr/uRe1d++aWr2HzoIFCyAQCLBnzx61NE5XeNNw21XFRDR9mPsL35C6mFNDQwP279+PiRMnIigoyNrVIcRiKKDbGUOCuc9g1SUMeTwe4KR7UObK/640ql4Ps+DgYEyfPh2ZmZmor69XS/d67TVOyuHix8GC4bUc1MS2e+d79+5FXV2dXa/JTYgxKKDbkfMfGHb3KMmwx9S29Vz7ervHXVxJQd1QGzZsQF1dHT766CO1tLDIKPiOGGFS/lz19Pv17oqh3Z1NysOWg3lLSws2btyI+Ph4jBw50trVIcSiKKDbEUl+vkH7N2j4AXD5/9q/z2/vzZsNKocAXbt2RUZGBtzd3TWmhyx4CSFvva0xrT1c35hl5ggvrJlg3PQZWw7mQOvKfbNnz8a77+p3BztCHAkFdDtx4wvjvtQv/XUnJwC4+PrrGs/DKrPkXb0czYwZM/C3v/1Na7pvp06t7avnDNpHJ8ab7f3oGOCDrfP9oe9c3ie7e9h8MAdal3VNTk5GWFiYtatCiMXRLHc7If755/Z30qDh2jW9zru7du2K3snt996J6ZRnqhcuWQyZ0nl3l06d0NfInrwxlNdpX5MpRkPzg7RHvAVYO8X6C9sQQvRDAZ1Qr9yKIrfvaH8nC0mdaf4eeNDkKWYvg5CHFQ2524GrRvbO2+XkRMGcEEIcBPXQ7YD04EHO84zc/RkE7VzCRgghxH7QN7odaKmp5i4zG1ltjBBCCLcooNuBgtD/4SSf3gO747H4oZzkRQghxLZQQLcDZzkK6GcrgH+m2c8dswghhOiPJsXZAS9Xbu/8szRNjOz/nOE0T0IIIdZFAd0OxHSr4zzP74s7Y1mamPN8CSGEWAcNuduBmOgg/HCew4lxf2HQ2lt/figwrC8Nw1vD2UWLIG9sYJ87BwYifJN1lt5d/WUFGiUPVhIM8OLj9am+nJZx6DT3P04V4gZ4mC1vQuwBBXSCr3KBr3Lp3LqlFMxL0LoEr+TuXXZlP6/RoxGWMM+sdVmWJoa2xYDLa+RY+tcozrC+7nh+qKtZ60IIMQ0NuduJkX1EZi9jaZoYeWcumr2ch1XF7dutwbqd9fQVao4eNeh2uYa4c+8+luoI5m2dulDPBndCiG2igG4npg6zzHDingJ/vP19jUXKciRyuRxRUVEYP368xvTSnZ+gbM1qo/LmOqjvOV6Dt36UGXWsrQf1K1euwMnJCdu3b7d2VQixOBpytyORQRIU3jbtXtb6ENcwALenTh1eeno6CgsLsWvXLrW0K2fOoPbECZ3HKy/BqymAFyTM5WSZ3sKia8i76qVzH+VTL5oC+FIbvvSxe/fumDVrFpKTkzF79mx4eel+rZYkranB3R++R8O1a2i4fh2MVAoA8H3iCYS8tNCkvM/fkODs9WaUlbegplGO5hYGPm58POrvhDGRbgjypa96hdOnT+PNN99EYWEhysvLUV9fD29vb0RERGD27NlYsGABeHreEdHWUA/djrz4P0EWKWfzbG+LlOMoZDIZUlJSEBMTgyFDhqil176n+97cXstX6FWOpkAfGxuL0NBQvY4HgN2ndAe4F4fpN2lNU6A3tC7msnLlSpSXl2Pbtm3WrooK6f37KD9yBPVXrrDBnCvHixqRW9yMO1Uy1DczaJEB4lo5TpdIsPn7Kly4KeG0PHt24cIF7Nu3D1evXkVNTQ1kMhkqKytx/PhxLFy4EP/4xz+sXUWjUUC3M+buGb0+yc2s+TuigwcPoqysDHPmzFFL02e4vKadgK8Q8MwkQ6umQp/h8t2n9Du181R/F5PqYk4RERGIiorCrl27IJfLjc6nrKzMoP0LEubqfL8Fbm4IGDsWIYsWIXBivEF5L00T63z/BHxgaA8XLBvvjc1z/LB2SgeEBbb2yuUMcOD3eq3HPmzCwsLw8ccfo7i4GI2Njbh58yYSEhLY9N27d1uxdqahcRg7tHW+v1nOZU7oW4+ADv6Qctx7cHTp6eng8XiYOnWq0Xm0BgIeoGWamiXvirc0TQweAzBaRh1tdbhd2fTp07F27VpkZ2djzJgxBh+fm5uL0aNHY926dVi92ri5D225BASg86zZAADx0aOc5Kkwd6QnRM4P+mePeAvwzGB3vHug9XLXu9XGzZlwRMOHD8fw4cPZ58HBwVixYgUyMlrvceHsbP7TmuZCPXQ7xfWX6oYZXhgzNITTPB8GDMMgJycHvXv3ho+Pj0pajsETs9SDOd/VlZNg/um3eYbVREMwFwl5dhHMAbBf2EeNDJzh4eEYOHAg1qxZg9TUVC6rZhbKwVxBqhTDO7jTV70mcrkcN27cwLvvPhglW7FCv1Ngtoh66HZs63x/fHCoClf+bDE5H2KcoqIiVFZWIi4uTi3NO/eUSXlz2Ss/V93VpOPt7TMyaNAgAMDJkyeNOt7DwwOHDh3C+PHjkZiYCIZhkJiYyGUVzapFxuCH/AfD7CP60BoCbQ0bNgy5ubnscycnJ2zatAnLly+3Yq1MQwHdzr0a5wMAWLe3AjWN+l5V3Or9eX52O5vTVty8eRMAEBgYyF2mWm5xq+u90pRWUlJi8iQ1HoD3NQRza9TFEJ6enhCJROz7oyw0NBTXr183KL+1a9ciOjqa/eFWW1SEK29p7rm3PY/ed8s7cAkI0Lus4jsSfHhY86WjbU+1vTGtA/w8BSrbmiRy7D5ai9Ly1h/6g8NcLLKOhb1raWnBihUrIJVK8b//+7/Wro5R7CqgS6VSi5/fVZRnjfPKhpT9xtTW2csSiQTvHGxGRZ3myUBr4mTw82u9Jq2lRXPP3l5es7nKNkRFRQUAoEOHDpzUIWzt6/Dq2VNjWlJSktq29PR0VFVVYdmyZWppbU8BGOrv49wR1klzz87SdTGGr68vxGL1uSbTpk3TuF2TwsJCFBQUwM/PD926deO6ipyrbpDh4yM1uH2/dbz98V4iTBvuTj/cNTh16hRkMhn+/PNP7N69m/1Mv/7665g/fz4CDPgRZit4DKPnslVWVFNTA29vb2RmZsLNjWZhE/NoaGjAzJkzUV1drff1y/v378fkyZORmJiIDRs2qKSZsiCMvsPtsbGxKC0tRWlpqc79TJlEqe9wuz51seRa7r6+vnBxccGdO3eMyu/EiROIi4uDi4sLsrOzERkZqXN/xfutz3snPnoUNzLSW+upx3XoivdP13tx534LPs6qQVW9HDwATw90w5hI+r7Ul4+PD6qrWycRnjp1CkOHDrVyjQxnVz30sWPHWnyhCKlUiqysLIwZMwZCofChKPthfM3Ag962IRS/4isrKzmtS0HCXHR7fyu8Oer5m2JpmhjJk4Xo4GM/6xPI5XJUV1cjPDzcqOPz8/Mxbtw4iEQivYK5Phi5HLL61vPasubmB3WVtqClthYAwBeJwDfic3/lTyk+za5Bo4SBgA/MGuGJgd1s99JCa1q2bBlGjBiBgQMHIigoCJWVldi9ezcbzAUCAbp2NW3OibXYVUAXCoUW/5J/mMt+2F6zMeWFh4eDz+ejuLhYLa166DCTJsZdW7YUADeT4/p5l5g0MS55nxSA7a4Q11ZxcTHkcjn69etn1PE9evRATEwMUlNTjc6jLUlFBS784zW17VW5p1D11+fk0QUvwW/ECIPzPlRQz94pTyYHPv+lFp//Uquyj6bz7Q+j/fv3Y+vWrVrT16xZg0ceecSCNeIOXctAiAl8fHwQGRmJ/Px8tD17FbtkCSdlFCTMhaSpyaQ8FkwZzEldlqaJ0dRs++sUKGYvx8TEGHW8t7c3Dhw4wFkwJ7Zj0aJFiI2NRadOneDs7AxnZ2d06dIFkydPxoEDB7B+/XprV9FodtVDJ8QWTZo0CcnJycjLy9O49CsXzr+8UOvsd0tbldk6NGnLvfWsrCwIBAJMmDDBYmW2N5LiEhBg9GhLe22tuNqFtG/16tWcLRZka6iHToiJFixYAIFAgD179qilcbrCm4b5qzk5Oe1OiFMwdwA2pC7m1NDQgP3792PixIkICrLM/Q8IsQUU0AkxUXBwMKZPn47MzEzU16uvme31mvp5U2Nw8eNgwfDa9nfSgy33zvfu3Yu6ujq7XiCEEGNQQCeEAxs2bEBdXR0++ugjtbSwyCj4GjHRSRlXPf1+vbtiaHfT1qq25WDe0tKCjRs3Ij4+HiNHjrR2dQixKArohHCga9euyMjIgLu7u8b0kAUvIeStt43Km+sbs8wc4YU1E4ybPmPLwRxoXblv9uzZKmtzE/KwoElxhHBkxowZOtN9O3WCb8bnKJiXoPF8eFuPToyH37RpXFVPRccAH2ydDyxLE2u5v5uqJ7t7IH6E7S8fGhoaiuTkZGtXgxCroIBOiIUpz1QvXLKYXWwEAFw6dUJfI3vyxlBep31NphgND9Y7wSPeAqydYv2FbQgh+qGATogVRW7fYe0qsFJnmn84ve3yrIQQ7tA5dEIIIcQBUEAnhBBCHAAFdEIIIcQBUEAnhBBCHAAFdEIIIcQBUEAnhBBCHAAFdEIIIcQB0HXohFjR2UWLIG9sYJ87BwYifNNmTsu4ve9bTvNTFjR5itnyNtXqLyvQKHmwDl6AFx+vT/XltIxDp+s4zU8ZXbNPDEUBnRAL07X0q+TuXRQkzAUAeI0ejbCEeRasmf3TtZRteY0cS9PEAIBhfd3x/FBXy1WMEAugIXdCOCCXyxEVFYXx48dr3afi9u3WYK3HOu4AUHP0KBvcbd2VK1fg5OSE7du3c563Pm175959LNVzXXoAOHWhng3uts6cbUscCwV0QjiQnp6OwsJCrTcGKd35CcrWrDYqb3sI6t27d8esWbOQnJyMmpoaTvNur233HK/BWz/KjMrbHoK6OduWOBYK6ISYSCaTISUlBTExMRgyZIha+pUzZ3D/xAmdeURnfM7+08QegvrKlStRXl6Obdu2cZZne21bWHQNeVclOvPYOt+f/aeJPQR1c7QtV6Q1Nbi55wucf20Fzrz4As698jeUfPgBGsvKTM67tlGOb07VIeXrSqzIEGPtVxVIO1aDW5UtJuUrkUiwatUqjBo1Cl5eXuDxeODxeIiNjTW5ztZEAZ0QEx08eBBlZWWYM2eOxvTa93Tfm9tr+Qq9ytEU1GNjYxEaGqrX8eYWERGBqKgo7Nq1C3K5XOe++ta7vbbdfcpL5/EvDtNv0pqmoG6vbWtJ0qoqXE5JRnlWFiRiMZiWFrTU1qIqLw+X1v8fai9eNDrv6gY53j1QheNFTaisk0MmB+qaGJwpleC9A1W48qfU6LwbGhqwadMm5OTkoLa21uh8bA0FdEJMlJ6eDh6Ph6lTp6ql6dOzrmkn4CsEPDPJ0KpZ3PTp01FWVobs7GxO8tPVtvr0rHef0m+m+FP9XQyum6WZ2rZlRvSYCxLm6vwM38z8EhJx6/sQMPZ/0O+j7QhZtBjg8cBIJCjbtROMTPPpkKVpYp3v4b7/1qGyrvXHS0xfETbO9MXcGE/weIBUBnz5ay1kcn1nTagSCoVYvHgxPvvsM5sc9TAWzXInxAQMwyAnJwe9e/eGj4+P0fm0fmnyAC3TurQNxdua4cOHAwCOHj2KMWPGmJQXV227NE0MHgMwPM3p2obibY0pbZubm4vRo0dj3bp1WL3auLkcbbXU16MqPx8AwBMKEfTss+A7O8N3+HBU5OSg7mIRJGIxav74A95RUQbl3dAsx9nS1lMpQgEwcaA7hE48DOzmgpOXmnDlTykq6+S4dFuKvp2dDa67u7s7O8nw8OHDBh9vq6iHTogJioqKUFlZiQEDBqil5Rg8K1k9mPNdXe0mmAPAoEGDAAAnT540OS9dbfvpt3kG5aUpmIuEPLsJ5oBpbRseHo6BAwdizZo1SE1N5aQ+jdevA3/1vl0CO4Lv/CCwunbpzD5uuHrV4LxvVrRA0fn29xJA6PTgDQzqIGAfl5YbP+zuiKiHTogJbt68CQAIDAxUS/POPWVS3vYUyBU8PT0hEonYdjGFrrY9V93VpLztKZArmNK2Hh4eOHToEMaPH4/ExEQwDIPExEST6iOtrmYfC9zcVNL4rg+u8ZfWVMNQtU0Pfty6Oav+GhMpPa9tNG7I3VHZVUCXSqWQSi37i0xRnqXLtWbZD+NrNrbMiooKAECHDh24qwiPh+j0DA2btYwZa0krKSmxyqQuX19fiMUPzo0aW29ztC0PwPsagrm9ti0AhIaG4vr16wbls3btWkRHRyMuLo7dVltUhCtvae69tz2P3nfLO232YLQ+5YGH4jsSfHhY8yV3bc+jvzFN9f1WC9kqeRNldhXQjxw5Arc2vwQtJSsryyrlWrPsh+01NzQ0tL9TG65/9UQaGxs5qUPY2tfh1bOnxrSkpCS1benp6aiqqsKyZcvU0kw572yKxsZGlb9TY+vNddv+fZw7wjppXh3OXtsWAKZNm6YW5LUpLCxEQUEB/Pz80K1bN5PqIvT2Zh/L2vztyJSWM3by1n0lgiaeogehurFZNaQ3Sh8893SlkK7MrgL62LFj4eVl+IfDFFKpFFlZWRgzZgyEQuFDUfbD+JqBB71tQwQEBAAAKisrOanD1Q1vAtA83K5pYZWcnByUlpZqXXTF0uRyOaqrqxEeHs5uM7beXLfttsP1AOo1Drfba9sCwJYtW/Q6/sSJE4iLi4O/vz+ys7PRq1cvlXTPPn3UPneKnrmmz6OTuzt4AgEYmQzNd+9CLpGw59GblE4LuHULQ6dOzmrtruiZa3o/3Fx4EPABmRwQ18ogbWHY8+h37j+4Bj0kwLLfEbbOrgK6UCi0+Jf8w1z2w/aajSkvPDwcfD4fxcXFnNalIGEuur2/Fd5cDuVbQHFxMeRyOfr162dyXuZq26VpYiRPFqKDj3f7O9sQU9o2Pz8f48aNg0gkQnZ2NiIjI02uj8DNDd6DBqMq9xQYqRS3v/4aHSdNQu25c6i7dAkA4OzvD6+ICIPzdnXmIyrEGadLJJDKgB9+r8e4/m64eEuKq3dbA7qvBx+9goz/jlCMaiivvieVStntbm5uVhsRNpZdBXRCbI2Pjw8iIyORn58PhmFUzrdWDx1m0sS4a8uWArCvyXG5ubkAgJiYGJPz0tW2/bxLTJoYl7xPCkBsV5PjTGnbHj16ICYmBqmpqZz82FLoPHMmGq5egUQsRvmRn1B+5Cc2jefsjEdfWgieQKAjB+0mDfFAaXkVKuvk+OVCE3650MSmCQXArBGeEPCNH3JXjAApO3nyJLs9KSnJZkZn9EWXrRFiokmTJqG6uhp5eaqXUsUuWcJJ/gUJcyFpamp/RxuQlZUFgUCACRMmcJKftrZdMGUwJ/kvTROjqdk+Ln0ypW29vb1x4MABToM5AAh9fNAzKRn+Tz0FZ39/8AQCOHl6wmfQYPRa9wY8e/c2Om9vNz5WTPDBiD4i+HrwIeAD7i48RIU4Y/kEH3TvSMPtbVEPnRATLViwAOvXr8eePXs0rjfOhfMvL9Q6+91WNDQ0YP/+/Zg4cSKCgoI4ydMSbbsqs/WyKlvurZujbfWhz+iQ0MsLXebMBeYYdr8Bfdrb05WPacM8MG2YQVnrhdHzrof2hHrohJgoODgY06dPR2ZmJurr61XSOB0u1/AFpJi4ZQv27t2Luro6LF++vN199a23rrY1dwC217YlDy8K6IRwYMOGDairq8NHH32klub12muclGHL59JbWlqwceNGxMfHY+TIkZzmrattFwzn5sYattw7N2fbEsdCAZ0QDnTt2hUZGRlwd3dXSwuLjILviBEm5W/LwRxoXdVt9uzZePdd/W40Ywhdbduvd1cM7W74Wt7KbDmYA+ZtW+JY6Bw6IRyZMWOG1rSQBS/B8+kJuL56lcH52nowB1pXKzPnjGBdbTtzhBdG965C6gHD75Ft68EcMH/bEsdBPXRCLMS3U6fW4KxjmVFlj06Mt4tgbgs6Bvhg63x/vZcCfbK7h10Ec0IMQT10QixMeaZ64ZLFkClN9nLp1Al933rbGtVyCMrrtK/JFKOh+UHaI94CrJ1iXwv1EGIICuiEWFHk9h1mLyNo8hSzl2GLUmeavwceN8DD7GUQoi8acieEEEIcAAV0QgghxAFQQCeEEEIcAAV0QgghxAFQQCeEEEIcAAV0QgghxAFQQCeEEEIcAF2HTogVnV20CPLGBva5c2Agwjdt5rSMQ6frOM1PmS1fh736ywo0Sh7coS7Ai4/Xp/pyWsbtfd9ymp+yh3X9AGI8CuiEWFjBvASNt0IFAMnduyhIaL2vtNfo0QhLmGfBmtm/ZWliaLvLdXmNHEvTxACAYX3d8fxQV8tVjBALoCF3Qjggl8sRFRWF8ePHa92n4vbt1mCtJZi3VXP0KBvcbd2VK1fg5OSE7du3c563Pm175959LNURzNs6daGeDe62zpxtSxwLBXRCOJCeno7CwkKtd8Uq3fkJytasNipvewjq3bt3x6xZs5CcnIyamhpO826vbfccr8FbP8qMytsegro525Y4FgrohJhIJpMhJSUFMTExGDJkiFr6lTNncP/ECZ15RGd8zv7TxB6C+sqVK1FeXo5t27Zxlmd7bVtYdA15VyU689g635/9p4k9BHVztC1XpDU1uLnnC5x/bQXOvPgCzr3yN5R8+AEay8pMzru2UY5vTtUh5etKrMgQY+1XFUg7VoNblYbfKleZRCLBqlWrMGrUKHh5eYHH44HH4yE2NtbkOlsTBXRCTHTw4EGUlZVhzpw5GtNr33tX5/Fey1foVY6moB4bG4vQ0FC9jje3iIgIREVFYdeuXZDL5Tr31bfe7bXt7lNeOo9/cZh+EwI1BXV7bVtLklZV4XJKMsqzsiARi8G0tKClthZVeXm4tP7/UHvxotF5VzfI8e6BKhwvakJlnRwyOVDXxOBMqQTvHajClT+lRufd0NCATZs2IScnB7W1tUbnY2sooBNiovT0dPB4PEydOlUtTZ+edU07AV8h4JlJhlbN4qZPn46ysjJkZ2dzkp+uttWnZ737lH6z8J/q72Jw3SzN1LYtM6LHXJAwV+dn+Gbml5CIW9+HgLH/g34fbUfIosUAjwdGIkHZrp1gZJpPhyxNE+t8D/f9tw6Vda0/XmL6irBxpi/mxniCxwOkMuDLX2shk+s7a0KVUCjE4sWL8dlnn9nkqIexaJY7ISZgGAY5OTno3bs3fHx8jM6n9UuTB2iZ1qVtKN7WDB8+HABw9OhRjBkzxqS8uGrbpWli8BiA4WlO1zYUb2tMadvc3FyMHj0a69atw+rVxs3laKulvh5V+fkAAJ5QiKBnnwXf2Rm+w4ejIicHdReLIBGLUfPHH/COijIo74ZmOc6Wtp5KEQqAiQPdIXTiYWA3F5y81IQrf0pRWSfHpdtS9O3sbHDd3d3d2UmGhw8fNvh4W0U9dEJMUFRUhMrKSgwYMEAtLcfgWcnqwZzv6mo3wRwABg0aBAA4efKkyXnpattPv80zKC9NwVwk5NlNMAdMa9vw8HAMHDgQa9asQWpqKif1abx+Hfir9+0S2BF85weB1bVLZ/Zxw9WrBud9s6IFis63v5cAQqcHb2BQBwH7uLTc+GF3R0Q9dEJMcPPmTQBAYGCgWpp37imT8ranQK7g6ekJkUjEtospdLXtuequJuVtT4FcwZS29fDwwKFDhzB+/HgkJiaCYRgkJiaaVB9pdTX7WODmppLGd31wjb+0phqGqm168OPWzVn115hI6Xlto3FD7o7KrgK6VCqFVGrZX2SK8ixdrjXLfhhfs7FlVlRUAAA6dOjAXUV4PESnZ2jYrGXMWEtaSUmJVSZ1+fr6Qix+cG7U2Hqbo215AN7XEMzttW0BIDQ0FNevXzcon7Vr1yI6OhpxcXHsttqiIlx5S3Pvve159L5b3mmzB6P1KQ88FN+R4MPDmi+5a3se/Y1pqu+3WshWyZsos6uAfuTIEbi1+SVoKVlZWVYp15plP2yvuaGhof2d2nD9qyfS2NjISR3C1r4Or549NaYlJSWpbUtPT0dVVRWWLVumlmbKeWdTNDY2qvydGltvrtv27+PcEdZJ8+pw9tq2ADBt2jS1IK9NYWEhCgoK4Ofnh27duplUF6G3N/tY1uZvR6a0nLGTt+4rETTxFD0I1Y3NqiG9UfrguacrhXRldhXQx44dCy8vwz8cppBKpcjKysKYMWMgFAofirIfxtcMPOhtGyIgIAAAUFlZyUkdrm54E4Dm4XZNC6vk5OSgtLRU66IrliaXy1FdXY3w8HB2m7H15rpttx2uB1CvcbjdXtsWALZs2aLX8SdOnEBcXBz8/f2RnZ2NXr16qaR79umj9rlT9Mw1fR6d3N3BEwjAyGRovnsXcomEPY/epHRawK1bGDp1clZrd0XPXNP74ebCg4APyOSAuFYGaQvDnke/c//BNeghAZb9jrB1dhXQhUKhxb/kH+ayH7bXbEx54eHh4PP5KC4u5rQuBQlz0e39rfDmcijfAoqLiyGXy9GvXz+T8zJX2y5NEyN5shAdfLzb39mGmNK2+fn5GDduHEQiEbKzsxEZGWlyfQRubvAeNBhVuafASKW4/fXX6DhpEmrPnUPdpUsAAGd/f3hFRBict6szH1EhzjhdIoFUBvzwez3G9XfDxVtSXL3bGtB9PfjoFWT8d4RiVEN59T2pVMpud3Nzs9qIsLHsKqATYmt8fHwQGRmJ/Px8MAyjcr61eugwkybGXVu2FIB9TY7Lzc0FAMTExJicl6627eddYtLEuOR9UgBiu5ocZ0rb9ujRAzExMUhNTeXkx5ZC55kz0XD1CiRiMcqP/ITyIz+xaTxnZzz60kLwBAIdOWg3aYgHSsurUFknxy8XmvDLhSY2TSgAZo3whIBv/JC7YgRI2cmTJ9ntSUlJNjM6oy+6bI0QE02aNAnV1dXIy1O9lCp2yRJO8i9ImAtJU1P7O9qArKwsCAQCTJgwgZP8tLXtgimDOcl/aZoYTc32cemTKW3r7e2NAwcOcBrMAUDo44OeScnwf+opOPv7gycQwMnTEz6DBqPXujfg2bu30Xl7u/GxYoIPRvQRwdeDDwEfcHfhISrEGcsn+KB7Rxpub4t66ISYaMGCBVi/fj327Nmjcb1xLpx/eaHW2e+2oqGhAfv378fEiRMRFBTESZ6WaNtVma2XVdlyb90cbasPfUaHhF5e6DJnLjDHsPsN6NPenq58TBvmgWnDDMpaL4yedz20J9RDJ8REwcHBmD59OjIzM1FfX6+SxulwuYYvIMXELVuwd+9e1NXVYfny5e3uq2+9dbWtuQOwvbYteXhRQCeEAxs2bEBdXR0++ugjtTSv117jpAxbPpfe0tKCjRs3Ij4+HiNHjuQ0b11tu2A4NzfWsOXeuTnbljgWCuiEcKBr167IyMiAu7u7WlpYZBR8R4wwKX9bDuZA66pus2fPxrvv6nejGUPoatt+vbtiaHfD1/JWZsvBHDBv2xLHQufQCeHIjBkztKaFLHgJnk9PwPXVqwzO19aDOdC6Wpk5ZwTratuZI7wwuncVUg8Yfo9sWw/mgPnbljgO6qETYiG+nTq1Bmcdy4wqe3RivF0Ec1vQMcAHW+f7670U6JPdPewimBNiCOqhE2JhyjPVC5cshkxpspdLp07o+9bb1qiWQ1Bep31NphgNzQ/SHvEWYO0U+1qohxBDUEAnxIoit+8wexlxAzzMXoYtSp1p/h540OQpZi+DEH3RkDshhBDiACigE0IIIQ6AAjohhBDiACigE0IIIQ6AAjohhBDiACigE0IIIQ6AAjohhBDiACigE0IIIQ6AAjohhBDiACigE0IIIQ6AAjohhBDiACigE0IIIQ6AAjohhBDiACigE0IIIQ6AAjohhBDiACigE0IIIQ6AAjohhBDiAJysXQF9MAwDAKipqbF42VKpFA0NDaipqYFQKHwoyn4YXzMA1NbWAnjweSOEEHtiFwFd8UXbpUsXK9eEPAxqa2vh7e1t7WoQQohBeIwddEfkcjlu374NT09P8Hg8a1eHOCiGYVBbW4ugoCDw+XQ2ihBiX+wioBNCCCFEN+qGEEIIIQ6AAjohhBDiACigE0IIIQ6AAjohhBDiACigE0IIIQ6AAjohhBDiACigE0IIIQ6AAjohhBDiACigE0IIIQ6AAjohhBDiACigE0IIIQ6AAjohhBDiACigE0IIIQ6AAjohhBDiACigE0IIIQ6AAjohhBDiACigE0IIIQ6AAjohhBDiACigE0IIIQ7g/wE+mvKDw35z1wAAAABJRU5ErkJggg==" ], "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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+qLS8nWJ5s2bNYioqKpjff/+dTe5CoZCRy+Xs9oqXS3Y0adIktj5XrlxhWlpamL/++os5fPgwk5ycbKRWJMZw+/Ztpc/GH3/8oXH7pUuXstuOHz+eKSsrY27cuMGMHTuWXb506VJ2e30TOgDm5ZdfZqqrq5mDBw8q/WBQ1Fl8hjHsb+SRRx5hrly5wtTX1zMXLlzQrVEV66f3noQQi6RtQq+vr2d7S2FhYQzDMExeXh673dNPP83G7NWrl8aYAJiJEyey27cv4/P5THV1Nbs8MjKSXVdeXs4u15TQly9fzgBgeDweM3v2bObtt99mDh06xNy6dYvrpiNGduvWLaXPzOnTpzVur/i5O3v2LLs8Pz+fXd67d292ub4J3cfHh73rJMMwjJeXFwOAcXR0VIqjKaHr+zcCgCktLe2q6bRilKlfuSaXy3Hz5k24urrS3amI0TAMg7q6Ovj5+XF+Db+5JCYmdjpXvLOzM+bMmYPdu3ejoKAAZ8+exaeffsquX7JkCftYcU77zlRWVqos69Gjh9Ic+IqXITU1NWnzErBu3ToUFhbiyJEjyMjIYGeV5PP5mDlzJj799FOVaYiJZfL29oabmxt77vvChQuIiIjodHvFz53ijaQUz1ur+2wyHa6UaG1t1Viv/v37s3edBNo+p1VVVTrdJEzfvxEfHx/06dNH63I0sYqEfvPmTc5esKl8N2UKerm6qF0Xue9TMGrXEEvw119/oXfv3uauhkksXrwYu3fvBgCkpqbi888/BwA88MADiIyMZLfz9fXFjRs3wOPxcOPGDfTs2VMlVscvUUC7m/9oWg60XfN76NAh1NTU4Ny5cygqKkJGRgZ+/PFHfP7554iPj8esWbO6frHE7Ph8PiZNmoTPPvsMQNtgxyeffFLtD7LW1lb2cwe0DURrv9eD4iVjvr6+7GNHR0c0NzcrjRSXy+W4fv26xnpp+znVRN+/kc5u7qQPq0jorq6uAICioiL2salIpVIcO3YMjzzySJezz5W9/hrk/4ze1OSPhLtzwfd5+51OPzy6lM0lc5Vr7rKrq6sxYMAAk3/GzOn+++/H0KFDkZeXh507d7I9mcWLFyttN2XKFLz//vtgGAaJiYnYvn07+vXrh6qqKvz222/46KOPMHv2bCQkJOhVDy8vL/ZL+syZM0rXH+/duxdA2/3l77//fkRGRqK4uBg//vgjAKC0tFSvMol5rFu3Dt9++y0kEgkKCgowefJkrF+/HoMHD4ZEIsFvv/2Gbdu24Z133kF8fDz7g3PVqlX4+OOPwePxsGrVKjZefHw8+zggIACXL19GZWUlTp06haioKLz77rta3bJbG15eXqiqqkJlZSVu3LihdP8QY/+NaMMqEnp7wvP09ISbm5tJy5ZKpXB2doaXl1enCebK+vWov1qoV/y/Xm6761ZE+j6VddqUbQzmKtfcZbezpdM66enpSE9PV1leVFTEHrZcvHgx8vLy2GTu4uKC2bNnK22fkpKCY8eO4cKFC8jMzMTgwYNVYhrSS37wwQfZO8+1H4KNjo5GdnY2cnJyOp0a2s7OTuWyO2LZ+vfvj//+97+YMWMGKisrcejQIRw6dEjttikpKfj5559RWFiIH374QSmBtsdSnEQpISEBa9asAdD2mRKJRJBIJHB2dubk7pMPPvggvvvuO9TX17NH8dpPaxn7b0QbtnGi0IzyExP0TuYd4zR1uKaSEFN48sknlY5KzJo1S+UohaenJ3JycrB+/XpERERAJBKx920YN24c3n77bYPuS5CcnIw5c+bA19dX5QfV1KlTMWPGDAQFBcHV1RUCgQDe3t6IjY3Fzz//bHGziZGuPfLII7h48SLWr1+PqKgoeHh4wN7eHr169cIjjzyC7du3o3///vDx8UFubi6SkpIwePBgCIVCODo6YtCgQVi9ejVyc3Ph7e3Nxl25ciWSkpLg7+8PBwcHDBw4EAcPHsSwYcM4qfd7772HSZMmwcvLS2Wdsf9GtGEVU7+KxWK4u7ujtrbWLD30w4cPIy4uTqXHmJ/I/aETp5mzMPCfiQU0lW1M5irX3GVXVVXB29vbLJ8zQggxlFUccrdEuiRzxcPpDMPgzPzETrdt/OIA6iIj4aow0IMQQgjpCh1y14Muydxj2FCl5zweD7DT/Dvq6isr9aoXIYSQexcldB1deG+HTtu3jHhQZdmANWu73O/8iuU6lUMIIeTeRgldRy15eTpt36DmB8CV/+381pbtQt/dplM5hBBC7m2U0HXw16eql5Zp43JKMvv40tq1QBfjENVdwkYIIYRoQoPidFD588967ddw/bpW592d+vbFwOSue++EEEJIR5TQLQT1ygkhhBiCDrlr6ZqevfMu2dlRMieEEGIw6qFrSXr4MOcxwz7+BIIuLmEjhBBCtEHZREut4lrugvF4iEhTnV+bEEII0RcldC3lB/wPJ3EGRvbDg/FRnMQihBBC2lFC19JZjhL62Srgi9RKbF/g3fXGhBBCiJZoUJyW3Jy4vaXmstRKZP12htOYhBBC7l2U0LUUHSjhPOZ/C3tjeWol53EJIYTce+iQu5aiI/zw3QUOB8b9g0Fbb/3JKGDEYDoMf685+8wzkDc2sM8dfH0R8uZWs9Tl1c+q0NhydxZDHzc+1k7z5LSMm9/8h9N4ivymTDVabEKsASV0C/F5DvB5Dp1bvxfkz0/sdPrfllu32FkF3caMQVDifKPWZXlqJTqbiLhCLMeyf44gjRgswpNRTkatCyHEMHTIXQejBwmNXsay1Erknrlk9HKI6VXdvNmWrLuYy7+d+OhRnW7Vq4vy23ewTEMy7+jUn/VscieEWCZK6DqYNsLFJOXsz/fGxv9Um6Qswg25XI7w8HDExcWpXV/84R6Urn5Vr9hcJ/X9v4ix5XuZXvtaelK/evUq7OzssGvXLnNXhRCTo0PuOgrza0HBTQejl1NRKzd6GYQ7aWlpKCgowN69e1XWXT1zBnUnTmjcX3H6X3UJPD8xgZMpggsuXkfuNTeN2yie9lGXwJdZ8GWX/fr1w5w5c5CcnIy5c+fCzU3zazWl2jNnUJOXi4aiIkhraiBvboZ9t25w7huIHpMmwalPH71jS5rk+OlsA0oqWnGjuhXSf36vDe/niDmjXDl6Bbbjt99+Q0ZGBk6dOoUbN26gpqYGPXv2RFhYGFatWoWHHnrI3FXUC/XQdfTU//iZpJxtFvqFSVTJZDKkpKQgOjoaw4cPV1lf9+47Gvd3W/GSVuWoS/QxMTEICAjQan8A+PiU5gT31AjtruZQl+h1rYuxrFy5EhUVFdixY4e5q6Kk4udMVP/6K5rKyiCTSMBIpWi5fRs1Oadwad3rqD17Vu/YNfVyHP+zCcUVd5M56dz+/fuxe/du5Ofn4/bt22hpaUFJSQm+++47PPzww2p/mFsDSuh6MHbvZO1kZ6PGJ9w6fPgwSktLMW/ePJV12hwuF3eR8Nv5PD5Z16op0eZw+centDutNPZ+R4PqYkyhoaEIDw/H3r17IZfrf6SrtLRUp+3zExM0vt88gQCeo0ej/9rXEL73Iwx64024BAe3rZTJUP7vrzrdd1lqpcb3z8mBh+jBQswb7YLxYTR4sSt8Ph/Tp0/HTz/9BIlEgrKyMkyfPp1dv3r1ashk1vfLiA6562n7Am+jnE+cOLgePt2od25N0tLSwOPxMG3aNL1jtCUCHtDJMDVT3pFvWWoleAzAdDKXkqUeblc0Y8YMrFmzBllZWRg3bpzO++fk5GDMmDF47bXX8Oqr+o196CjgmWchcLqbbIU9esBv1pO4kpIMAGgqL9c7tperAFOj2n6M/Xap0aB63gu2bNmidDpGJBJh165d+Pe//w0AqKqqQkVFBXr06GGuKuqFeugG4PqLbeNMN4yL8uc0JjEuhmGQnZ2NgQMHwsPDQ2ldts4Ds1STOd/JiZNk/tF/cnWriZpkLrTnWUUyB4CRI0cCAI4eParX/iEhIYiMjMTq1auxefNmTuqkmMzbyVta2McOntxe8086p25sRUPD3fkgnJ2d4eXlZcoqcYJ66AbavsAb7x2pwdW/Ww2OQ6zPxYsXUV1djdjYWJV17jmnDIrNZa/8XG1fg/a3ts/n0KFDAQAnT57Ua38XFxccOXIEcXFxSEpKAsMwSEpK4rKKkEulKP/qS/a591jdjyQQbjAMg3/961/s8yVLlsDe3t6MNdIPJXQOvBDrAQB47UAVxI3aXtnbZtt8L/B43M4TT0ynrKwMAODr68td0E5ur6vpc6JuXVFRkcGD1HhQP0DTHHXRhaurK4RCIfv+KAoICEBJSYlO8dasWYOIiAj2h1vdxYu4ukV9z73jefTBb70NRx8fpWWyxkZc37Ed9VevAgC6PfgQfP45NVBY3oL3fxCrjd3xNN/r07vBy1Wg02shylpaWrBw4UL2cPuYMWM4OypjalaV0KVSKaRSqcnLVPxfk9entR3GaWlpwduHm1ElUT8gZ3WsDF5ebYfXWls779nrUjaXzFWupZSti6qqKgBAt27dOKlD0Jq1cBswQO26devWqSxLS0tDTU0Nli9frrKu4ykAXb04QYSgnuoHWJm6Lvrw9PREZaXqOJfp06erXa5OQUEB8vPz4eXlhcDAQE7qJb1zB1fffgtNf/0FAPB+ZAx6JyTQD3szEIvFmDJlCntqJj4+HgcOHICjo+UO+tSExzBaTltlRmKxGCtHj8K0qVPNchhEPDjE5GUS02toaMDs2bNRW1ur9fXLBw8exJQpU5CUlISNGzcqrTNkQhhtD7fHxMSguLgYxcXFGrczZACntofbtamLKedy9/T0hKOjI8r1HGx24sQJxMbGwtHREVlZWQgLC9O4ffv7rem9aywrw7W334K0uhrg8dBz2nT0mDSpy7q0v3/avBe/XWrEV7/XA6Dr0DW5ceMG4uLiUFBQAAB47rnnsH37dggE1nvEw6p66EFBQSb/5SSTy3EGwLhx40z+Y0IqlSIzM9PkZZurXHOX3d7b1oXPP4dSq6u5ndkvPzEBgdu2w52jnr8hlqVWInmKPbp5uJu7KlqTy+Wora1FSIh+P8bz8vIwYcIECIVCrZK5NuouXULR9m2QNTSAZ2eH+xY9Dc9/Bu8ZSs4waGhu65u1tN7to7XKGEia2o4UCu15sBPQUQAAOH/+PGJjY1FWVgYej4c33ngDK1euNHe1DGZVCZ0vEIBvpl9P9vb2ZhskYa6y77XXrE95ISEh4PP5KCwsVFlXGzXCoIFx15cvA8DN4Lgh7kUGDYxL/kYKwHJniOuosLAQcrkcQ4YM0Wv//v37Izo6Gps3b9Y7Rkd/f/MfyP4ZSc20tqLkg90o+WC30jbqzrdr445Ejv/99x2V5aeLWnC6qO3H5uyHXRDV3/j3o7AGb731Fju+gmEYvPLKK3jllVeUtjl27BhiYmLMUDv90WVrhBjAw8MDYWFhyMvLQ8ezVzFLl3JSRn5iAlqamgyKsWjqME7qsiy1Ek3Nph/foKucnBwAQHR0tF77u7u749ChQ5wlc0JMwap66IRYosmTJyM5ORm5ublqp37lwoUlizsd/W5qqzJqAVj2pWyZmZkQCASYOHGiycrs6khK/9X6X/bWVVt7uQos+v2wNGlpaUhLSzN3NThHPXRCDLRo0SIIBALs379fZR2nM7ypGb+anZ3d5YC4dsb+wtelLsbU0NCAgwcPYtKkSfDzM829FwixBJTQCTFQr169MGPGDGRkZKC+vl5lvdvLL3NSDhc/DhaNrOOgJpbdOz9w4AAkEglWrFhh7qoQYlKU0AnhwMaNGyGRSLBz506VdUFh4fAcNcqg+Fz19IcM7Iuofobd/teSk3lrays2bdqE+Ph4jB492tzVIcSkKKETwoG+ffsiPT0dIpFI7Xr/RU/Df8sbesXm+sYss0e5YfVE/YbPWHIyB9pm7ps7dy7eeUe7O9gRYktoUBwhHJk5c6bG9Z49e8IzfR/y5yeqPR/e0X2T4uGlcEtHLvXw8cD2BcDy1MpO7u+m7NF+LogfZfmXPAUEBCA5Odnc1SDELCihE2JiiiPVC5Y+C5nCeXfHnj0xWM+evD4U52lfnVGJhua767q7C7BmqvkntiGEaIcSOiFmFLZrd9cbmcjm2cY/nN5xelZCCHfoHDohhBBiAyihE0IIITaAEjohhBBiAyihE0IIITaAEjohhBBiAyihE0IIITaAEjohhBBiA+g6dELM6Owzz0De2MA+d/D1RcibW81Sl1c/q0Jjy91543zc+Fg7zZPTMo6clnAaT1HsAy5Gi02INaCEToiJaZr6teXWLeQnJgAA3MaMQVDifKPWRdPUrxViOZalVgIARgwW4ckoJ6PWhRBiGDrkToiJVN282ZastZjHHQDER4+yyZ1r5bfvYJmW87gDwKk/69nkTgixTJTQCeGAXC5HeHg44uLi1K4v/nAPSle/qldsrpP6/l/E2PK9TK99LT2pX716FXZ2dti1a5e5q0KIydEhd0I4kJaWhoKCAuzdu1dl3dUzZ1B34oTG/RVvkaougecnJnByG9WCi9eRe81N4zaKt0hVl8CXpVZa7G1U+/Xrhzlz5iA5ORlz586Fm5vm12pKUrEYt777LxquX0dDSQkYqRQA4Pnww/B/erFBsS/81YKzJc0orWiFuFGO5lYGHs583Odth3FhzvDzpK/6jq5cuYL169cjKysLlZWV8PLywtixY7Fu3Tr069fP3NXTC/XQCTGQTCZDSkoKoqOjMXz4cJX1de9qvje324qXtCpHXaKPiYlBQECAVvsDwMenNCe4p0ZoN2hNXaLXtS7GsnLlSlRUVGDHjh3mrooS6Z07qPjpJ9Rfvcomc678crEROYXNKK+Rob6ZQasMqKyT43RRC7b+twZ/lrVwWp61++OPPxAZGYn9+/ejvLwcUqkUf//9N/bv349hw4bhzJkz5q6iXiihE2Kgw4cPo7S0FPPmzVNZp83hcnEXCb+dz+OTda2aEm0Ol398SruR4mPvdzSoLsYUGhqK8PBw7N27F3K5XO84paWlOm2fn5ig8f0WODvDZ/x4+D/zDHwnxesUe1lqpcb3T8AHovo7YnmcO7bO88Kaqd0Q5NvWK5czwKE/6jvd91703HPPQSJp+/G6Y8cOSCQS7NmzBwBQU1ODRYsWmbN6eqOEToiB0tLSwOPxMG3aNL1jtCWDxE4TQkT6PvSeappbjy5LrcTyTzpPINsXeGNShKtJ6qKvGTNmoLS0FFlZWXrtn5OTg0GDBmHLli2c1cnRxwe958yF58gH4eDJ7eWACaNdMfthV/T1tYeDHQ/d3QV4fJiIXX+rVr8xE7aotrYWOTk5AAAnJyc8//zzEIlEWLx4MTw8PAC09eDPnj1rxlrqhxI6IQZgGAbZ2dkYOHAg+2XQLlvngVmqY875Tk6cnDv/6D+5utWEp7pMaM+z2HPnHY0cORIAcPToUb32DwkJQWRkJFavXo3NmzdzWTWjEDqofpVLFXJ4NxF91bdrbGxkH/N4aj7o/8jN1e1vxhLQSAlCDHDx4kVUV1cjNjZWZZ17zimDYnORyNudq+1r0P7WksjbDR06FABw8uRJvfZ3cXHBkSNHEBcXh6SkJDAMg6SkJC6raFStMgbf5d09zD5qEM0h0M7X1xd+fn64efMmGhoa8P7772PhwoX47LPPUFNTw25XUVFhvkrqiRI6IQYoKysD0PYlwRkeDxFp6WoWd96bULeuqKjI4EFqPADb1CRzc9RFF66urhAKhez7oyggIAAlJSU6xVuzZg0iIiLYH251Fy/i6hb1PfeOp00Gv/U2HH18tC6rsLwF7/8gVruu42mQ16d3g5erQGlZU4scHx+tQ3FFKwBgWJAjRg8Sal2+rePxeNi8eTMSExMBAC+++CJefPFFle0cHBxMXTWDWVVCl8tkkMtMey5I9s+gGinHo1K10V6mqcs2V7mWUrYuqqqqAADdunXjpA5Ba9bCbcAAtevWrVunsiwtLQ01NTVYvny5yrqOpwB09eIEEYJ6qu/Zmbou+vD09ERlpeo4gOnTp6tdrk5BQQHy8/Ph5eWFwMBArqvIudoGGT74SYybd9q+Jx8KFmL6SJHGH2D3ooSEBLi7u+ONN97AmTNn4OzsjIcffhhisRjHjh0DAPj7+5u5lrrjMYyW01aZkVgshru7OzIyMuDs7Gzu6hAb1dDQgNmzZ6O2tlbr65cPHjyIKVOmICkpCRs3blRaZ8iEMNoebo+JiUFxcTGKi4s1bmfIhDDaHm7Xpi6mnMvd09MTjo6OKC8v1yveiRMnEBsbC0dHR2RlZSEsLEzj9u3vtzbvXeXRo/grPa2tnlpch97+/ml6L8rvtOKDTDFq6uXgAXgs0hnjwuj7UltNTU0ICQnB9evX4eDggLKyMvjocGTFElhVD338+PEmnyhCKpUiMzMT48aNg729/T1R9r34moG7vW1dtP/BV1dXc1qX/MQEBG7bDneOev6GWJZaieQp9ujm4W7uqmhNLpejtrYWISEheu2fl5eHCRMmQCgUapXMtcHI5ZDVt53XljU3362rtBWtdXUAAL5QCL4en/urf0vxUZYYjS0MBHxgzihXRAZa7qWF5nb+/Hn8+eefGDVqFLp164bCwkIkJSXh+vXrAIBFixZZXTIHrCyh29vbm/xL/l4u+157zfqUFxISAj6fj8LCQpV1tVEjDBoYd335MgDcDI4b4l5k0MC45G+kACx3hriOCgsLIZfLMWTIEL3279+/P6Kjo7F582a9Y3TUUlWFP//1ssrympxTqPnnc3LfoqfhNWqUzrGP5Nezd8qTyYF9x+uw73id0jbqzrffq65evYqZM2eqXRcdHY2tW81zx0ND0bUMhBjAw8MDYWFhyMvLQ8ezVzFLl3JSRn5iAlqamgyKsWjqME7qsiy1Ek3Nph/foKv264yjo6P12t/d3R2HDh3iLJkTy9KvXz/ExcXBz88PDg4OcHV1RVRUFN577z1kZmZa7aldq+qhE2KJJk+ejOTkZOTm5qqd+pULF5Ys7nT0u6mtyqgFYNmXsmVmZkIgEGDixIkmK7OrIymOPj56H23pqq1fiPXQK+69KjQ0FN9//725q8E56qETYqBFixZBIBBg//79Kuu4vJZc3W1Xs7OzuxwQ187YCViXuhhTQ0MDDh48iEmTJsHPz8/c1SHEZCihE2KgXr16YcaMGcjIyEB9veqc2W4vq5431QcXPw4WjazreiMtWHLv/MCBA5BIJFixYoW5q0KISVFCJ4QDGzduhEQiwc6dO1XWBYWFw1OPgU6KuOrpDxnYF1H9DJsww5KTeWtrKzZt2oT4+HiMHj3a3NUhxKQooRPCgb59+yI9PR0ikUjtev9FT8N/yxt6xeb0sD2A2aPcsHqifsNnLDmZA20z982dOxfvvKPdHewIsSU0KI4QjnR2GUw7z5494Zm+D/nzE9WeD+/ovknx8Jo+navqKenh44HtC4DlqZVqbgmj6tF+LogfZfnThwYEBCA5Odnc1SDELCihE2JiiiPVC5Y+y042AgCOPXtisJ49eX0oztO+OqMSDXfnO0F3dwHWTDX/xDaEEO1QQifEjMJ27TZ3FVibZxv/cHrH6VkJIdyhc+iEEEKIDaCETgghhNgASuiEEEKIDaCETgghhNgASuiEEEKIDaCETgghhNgASuiEEEKIDaDr0Akxo7PPPAN5YwP73MHXFyFvbuW0jJvf/IfTeIr8pkw1WmxDvfpZFRpb7s6D5+PGx9ppnpyWceS0hNN4iuiafaIrSuiEmJimqV9bbt1CfmICAMBtzBgEJc43Yc2sn6apbCvEcixLrQQAjBgswpNRTqarGCEmQIfcCeGAXC5HeHg44uLiOt2m6ubNtmStxTzuACA+epRN7pbu6tWrsLOzw65duziPrU3blt++g2VazksPAKf+rGeTu6UzZtsS20IJnRAOpKWloaCgoNMbgxR/uAelq1/VK7Y1JPV+/fphzpw5SE5Ohlgs5jR2V227/xcxtnwv0yu2NSR1Y7YtsS2U0AkxkEwmQ0pKCqKjozF8+HCV9VfPnMGdEyc0xohI38f+U8cakvrKlStRUVGBHTt2cBazq7YtuHgduddaNMbYvsCb/aeONSR1Y7QtV6RiMcr2f4oLL7+EM08txLnnn0PR+++hsbTU4Nh1jXJ8fUqClK+q8VJ6JdZ8XoXUY2LcqG41OLZEIsHatWsRHBwMoVAIT09PxMXF4ddffzU4trlQQifEQIcPH0ZpaSnmzZundn3du5rvze224iWtylGX1GNiYhAQEKDV/sYWGhqK8PBw7N27F3K5XOO22ta7q7b9+JSbxv2fGqHdoDV1Sd1a29aUpDU1uJKSjIrMTLRUVoJpbUVrXR1qcnNxef3/ou7SJb1j1zbI8c6hGvxysQnVEjlkckDSxOBMcQvePVSDq39L9Y5dX1+P0aNHY+PGjbhy5Qqam5tx584dHDlyBDExMThw4IDesc2JEjohBkpLSwOPx8O0adNU1mnTsxZ3kfDb+Tw+WdeqmdyMGTNQWlqKrKwsTuJpalttetYfn9JupPjY+x11rpupGdq2pXr0mPMTEzR+hssyPkNLZdv74DP+fzBk5y74P/MswOOBaWlB6d4PwcjUnw5Zllqp8T385v8kqJa0/XiJHizEptmeSIh2BY8HSGXAZ7/WQSbXdtSEsvXr1yM/Px9AW7vevn0bP//8M5ydnSGXy7FkyRJUV1frFducKKETYgCGYZCdnY2BAwfCw8ND7zhtX5yJnX55RqTvQ++plnuJWLuRI0cCAI4ePWpwLK7adllqJZZ/0nny2L7AG5MiXPWObyqGtG1OTg4GDRqELVu2cFaf1vp61OTlAQB49vbwe+IJ2Lm4wHPkSLgEDwQAtFRWQnz+vM6xG5rlOFvcdirFXgBMihRB5MhHZKAjgnztAQDVEjku39S9l84wDD755BP2+ZtvvgkfHx88+uijmDFjBgBALBbjiy++0Dm2uVFCJ8QAFy9eRHV1NR544AGVddk6j0pW7W3wnZw6Pa9uiYYOHQoAOHnypMGxNLXtR//J1SkWw1NdJrTndXpe3RIZ0rYhISGIjIzE6tWrsXnzZk7q01hSAvzT+3b07QG+gwO7zqlPb/Zxw7VrOscuq2pFe+fb200Ae7u7b6BfNwH7uLhC94ReVFSEiooKAICrqyv8/f3ZdUOGDGEfnzp1SufY5kbXoRNigLKyMgCAr6+vyjr3HMO+EKwpkbdzdXWFUChk28UQmtr2XG1fg2JbUyJvZ0jburi44MiRI4iLi0NSUhIYhkFSUpJB9ZHW1rKPBc7OSuv4Tnev8ZeKa6Gruqa7P26dHZR/jQkVntc16n7I/datW+zjjkd+3N3d1W5nLawqoUulUkil+g+E0LdMxf/vhbLvxdesb5lVVVUAgG7dunFXER4PEWnpahar6WZqWFdUVGSWQV2enp6orLx7eFvfehujbXkAtqlJ5tbatgAQEBCAkpISneKsWbMGERERiI2NZZfVXbyIq1vU9947ngoa/NbbHbZgOn3KAw+F5S14/wf1l9x1PBXy+nTl91slZSvFNgzTYU4IxeeaPhOWyqoS+k8//QTnDr8ETSUzM9Ms5Zqr7OsNvbHn24smLxcAAp3N85obGhq63qgDp396Io2NjZzUIWjNWrgNGKB23bp161SWpaWloaamBsuXL1dZZ8h5Z0M0NjYq/Z3qW2+u2/bFCSIE9VQ/O5y1ti0ATJ8+XSXJd6agoAD5+fnw8vJCYGCgQXWxV+jNyjr87cgUpjO2c9d8JYI6rsK7ybSxWTnpNkrvPnd10j3pKh7xqampUVpXq3DUQd2RIUtnVQl9/PjxcHPT/cNhCKlUiszMTIwbNw729vb3RNlSqRR7vr2IoMBA8AWCrnfgkFwmA/N3mVnau71HqAsfHx8A4GxE7LWNGwCoP9yubmKV7OxsFBcXdzrpiqnJ5XLU1tYiJCSEXaZvvblu2x0/1AOoV3u43VrbFgDeeustrfY/ceIEYmNj4e3tjaysLAQHByutdx00SOVz194zV/d5tBOJwBMIwMhkaL51C/KWFvY8epPCaQHnwCD07Omg0u7tPXN174ezIw8CPiCTA5V1MkhbGfY8evmdu9eg+/vo/h0RGBiI7t274/bt25BIJCgpKWHPo587d47dLioqSufY5mZVCd3e3t7kX/L3ctl8gQACvunHTcpgntesT3khISHg8/koLCzktC75iQkI3LYd7lweyjeBwsJCyOVypcFF+jJW2y5LrUTyFHt083DvemMLYkjb5uXlYcKECRAKhcjKykJYWJjB9RE4O8N96DDU5JwCI5Xi5ldfocfkyag7dw6Sy5cBAA7e3nALDdU5tpMDH+H+Djhd1AKpDPjuj3pMuN8Zl25Ice1WW0L3dOEj2E+/74iFCxeyI/5feeUV7Ny5E2fPnsVXX30FAHBzc8PMmTP1im1ONMqdEAN4eHggLCwMeXl5KufjaqNGGBT7+vJlVjFDnKKcnBwAQHR0tMGxNLXtEPcig2InfyO1ihniFBnStv3790d0dDSOHj3KSTJv13v2bDh4t/WwK376EeeWPovi3bsAhgHPwQH3Pb0YPD2P8k0e7gJPl7YUdfzPJqzOqEb68TowTNulbHNGuULA1+8899q1axEREQEA+PLLL+Hj44OxY8eioaEBfD4fe/bsgacnt3fmMwVK6IQYaPLkyaitrUVurvKlVDFLl3ISPz8xAS1NTZzEMrbMzEwIBAJMnDiRk3idte2iqcM4ib8stRJNzaYfgKkPQ9rW3d0dhw4d4uTIiSJ7Dw8MWJcM77Fj4eDtDZ5AADtXV3gMHYbg116H68CBesd2d+bjpYkeGDVICE8XPgR8QOTIQ7i/A1ZM9EC/HvofwROJRDh+/DjWrFmD/v37w8HBAR4eHpgwYQKOHTuGWbNm6R3bnKzqkDshlmjRokVYv3499u/fr3a+cS5cWLK409HvlqKhoQEHDx7EpEmT4Ofnx0lMU7Ttqoy2gVCWfCmbMdpWG9pcOmnv5oY+8xKAebodTdKmvV2d+Jg+wgXTDTvYpT62qys2bNiADRs2cB/cTKiHToiBevXqhRkzZiAjIwP19fVK6zi9llzNbVfbB25ZggMHDkAikWDFihVdbqttvTW1rbETsLW2Lbl3UUInhAMbN26ERCLBzp07Vda5vfwyJ2VY8kQzra2t2LRpE+Lj4zF69GhOY2tq20Uj6zgpw5J758ZsW2JbKKETwoG+ffsiPT0dIpFIZV1QWDg8R40yKL4lJ3OgbVa3uXPn4p13tLvRjC40te2QgX0R1c9BzV7as+RkDhi3bYltoXPohHBE02Uu/ouehutjE1Hy6iqd41p6MgfaZisz5vXamtp29ig3jBlYg82HdL9HtqUnc8D4bUtsB/XQCTERz54925KzllNK3jcp3iqSuSXo4eOB7Qu8tZ4K9NF+LlaRzAnRBfXQCTExxZHqBUufhUxhsJdjz54YvOUNc1TLJijO0746oxINzXfXdXcXYM1U65qohxBdUEInxIzCdu02ehl+Uyz/PurGsHm28XvgsQ+4GL0MQrRFh9wJIYQQG0AJnRBCCLEBlNAJIYQQG0AJnRBCCLEBlNAJIYQQG0AJnRBCCLEBlNAJIYQQG0DXoRNiRmefeQbyxgb2uYOvL0Le3MppGUdOSziNp8iSr8N+9bMqNLbcvUOdjxsfa6d5clrGzW/+w2k8Rffq/AFEf5TQCTGx/PmJam+FCgAtt24hP7HtvtJuY8YgKHG+CWtm/ZanVkJ9ywIVYjmWpVYCAEYMFuHJKCfTVYwQE6BD7oRwQC6XIzw8HHFxcZ1uU3XzZluy7iSZdyQ+epRN7pbu6tWrsLOzw65duziPrU3blt++g2UaknlHp/6sZ5O7pTNm2xLbQgmdEA6kpaWhoKCg07tiFX+4B6WrX9UrtjUk9X79+mHOnDlITk6GWCzmNHZXbbv/FzG2fC/TK7Y1JHVjti2xLZTQCTGQTCZDSkoKoqOjMXz4cJX1V8+cwZ0TJzTGiEjfx/5TxxqS+sqVK1FRUYEdO3ZwFrOrti24eB2511o0xti+wJv9p441JHVjtC1XpGIxyvZ/igsvv4QzTy3EueefQ9H776GxtNTg2HWNcnx9SoKUr6rxUnol1nxehdRjYtyo1v1WuR1JJBKsXbsWwcHBEAqF8PT0RFxcHH799VeDY5sLJXRCDHT48GGUlpZi3rx5atfXvfuOxv3dVrykVTnqknpMTAwCAgK02t/YQkNDER4ejr1790Iul2vcVtt6d9W2H59y07j/UyO0GxCoLqlba9uakrSmBldSklGRmYmWykowra1oratDTW4uLq//X9RduqR37NoGOd45VINfLjahWiKHTA5ImhicKW7Bu4dqcPVvqd6x6+vrMXr0aGzcuBFXrlxBc3Mz7ty5gyNHjiAmJgYHDhzQO7Y5UUInxEBpaWng8XiYNm2ayjptetbiLhJ+O5/HJ+taNZObMWMGSktLkZWVxUk8TW2rTc/641PajcIfe7+jznUzNUPbtlSPHnN+YoLGz3BZxmdoqWx7H3zG/w+G7NwF/2eeBXg8MC0tKN37IRiZ+tMhy1IrNb6H3/yfBNWSth8v0YOF2DTbEwnRruDxAKkM+OzXOsjk2o6aULZ+/Xrk5+cDaGvX27dv4+eff4azszPkcjmWLFmC6upqvWKbEyV0QgzAMAyys7MxcOBAeHh46B2n7YszsdMvz4j0feg91fIvYxo5ciQA4OjRowbH4qptl6VWYvknnSeP7Qu8MSnCVe/4pmJI2+bk5GDQoEHYsmULZ/Vpra9HTV4eAIBnbw+/J56AnYsLPEeOhEvwQABAS2UlxOfP6xy7oVmOs8Vtp1LsBcCkSBFEjnxEBjoiyNceAFAtkePyTd176QzD4JNPPmGfv/nmm/Dx8cGjjz6KGTNmAADEYjG++OILnWObGyV0Qgxw8eJFVFdX44EHHlBZl63zqGTV3gbfyanT8+qWaOjQoQCAkydPGhxLU9t+9J9cnWIxPNVlQntep+fVLZEhbRsSEoLIyEisXr0amzdv5qQ+jSUlwD+9b0ffHuA7OLDrnPr0Zh83XLumc+yyqla0d7693QSwt7v7Bvp1E7CPiyt0T+hFRUWoqKgAALi6usLf359dN2TIEPbxqVOndI5tbnQdOiEGKCsrAwD4+vqqrHPPMewLwZoSeTtXV1cIhUK2XQyhqW3P1fY1KLY1JfJ2hrSti4sLjhw5gri4OCQlJYFhGCQlJRlUH2ltLftY4OystI7vdPcaf6m4Frqqa7r749bZQfnXmFDheV2j7ofcb926xT7ueOTH3d1d7XbWwqoSulQqhVSq/0AIfctU/P9eKLu9PHkn576Mqb1Mc7a3LqqqqgAA3bp1464iPB4i0tLVLFbTzdSwrqioyCyDujw9PVFZeffwtr71Nkbb8gBsU5PMrbVtASAgIAAlJSU6xVmzZg0iIiIQGxvLLqu7eBFXt6jvvXc8FTT4rbc7bMF0+pQHHgrLW/D+D+ovuet4KuT16crvt0rKVoptGKbDnBCKzzV9JiyVVSX0n376Cc4dfgmaSmZmplnKNVfZgc4A83cZTJ/S25jjNTc0NHS9UQdO//REGhsbOalD0Jq1cBswQO26devWqSxLS0tDTU0Nli9frrLOkPPOhmhsbFT6O9W33ly37YsTRAjqqX52OGttWwCYPn26SpLvTEFBAfLz8+Hl5YXAwECD6mKv0JuVdfjbkSlMZ2znrvlKBHVchXeTaWOzctJtlN597uqke9JVPOJTU1OjtK5W4aiDuiNDls6qEvr48ePh5qb7h8MQUqkUmZmZGDduHOzt7e+Jsu/F1wzc7W3rwsfHBwA4GxF7beMGAOoPt6ubWCU7OxvFxcWdTrpianK5HLW1tQgJCWGX6Vtvrtt2xw/1AOrVHm631rYFgLfeekur/U+cOIHY2Fh4e3sjKysLwcHBSutdBw1S+dy198zVfR7tRCLwBAIwMhmab92CvKWFPY/epHBawDkwCD17Oqi0e3vPXN374ezIg4APyORAZZ0M0laGPY9efufuNej+Prp/RwQGBqJ79+64ffs2JBIJSkpK2PPo586dY7eLiorSOba5WVVCt7e3N/mX/L1c9r32mvUpLyQkBHw+H4WFhZzWJT8xAYHbtsOdy0P5JlBYWAi5XK40uEhfxmrbZamVSJ5ij24e7l1vbEEMadu8vDxMmDABQqEQWVlZCAsLM7g+AmdnuA8dhpqcU2CkUtz86iv0mDwZdefOQXL5MgDAwdsbbqGhOsd2cuAj3N8Bp4taIJUB3/1Rjwn3O+PSDSmu3WpL6J4ufAT76fcdsXDhQnbE/yuvvIKdO3fi7Nmz+OqrrwAAbm5umDlzpl6xzYlGuRNiAA8PD4SFhSEvL0/lfFxt1AiDYl9fvswqZohTlJOTAwCIjo42OJamth3iXmRQ7ORvpFYxQ5wiQ9q2f//+iI6OxtGjRzlJ5u16z54NB++2HnbFTz/i3NJnUbx7F8Aw4Dk44L6nF4MnEHQRRb3Jw13g6dKWoo7/2YTVGdVIP14Hhmm7lG3OKFcI+Pqd5167di0iIiIAAF9++SV8fHwwduxYNDQ0gM/nY8+ePfD05PbOfKZACZ0QA02ePBm1tbXIzVW+lCpm6VJO4ucnJqClqYmTWMaWmZkJgUCAiRMnchKvs7ZdNHUYJ/GXpVaiqdn0AzD1YUjburu749ChQ5wcOVFk7+GBAeuS4T12LBy8vcETCGDn6gqPocMQ/NrrcB04UO/Y7s58vDTRA6MGCeHpwoeAD4gceQj3d8CKiR7o10P/I3gikQjHjx/HmjVr0L9/fzg4OMDDwwMTJkzAsWPHMGvWLL1jm5NVHXInxBItWrQI69evx/79+9XON86FC0sWdzr63VI0NDTg4MGDmDRpEvz8/DiJaYq2XZXRNhDKki9lM0bbakObSyft3dzQZ14CME+3o0natLerEx/TR7hgumEHu9THdnXFhg0bsGHDBu6Dmwn10AkxUK9evTBjxgxkZGSgvr5eaR2n15Krue1q+8AtS3DgwAFIJBKsWLGiy221rbemtjV2ArbWtiX3LkrohHBg48aNkEgk2Llzp8o6t5df5qQMS55oprW1FZs2bUJ8fDxGjx7NaWxNbbtoZB0nZVhy79yYbUtsCyV0QjjQt29fpKenQyQSqawLCguH56hRBsW35GQOtM3qNnfuXLzzjnY3mtGFprYdMrAvovo5qNlLe5aczAHjti2xLXQOnRCOaLrMxX/R03B9bCJKXl2lc1xLT+ZA22xlxrxeW1Pbzh7lhjEDa7D5kO73yLb0ZA4Yv22J7aAeOiEm4tmzZ1ty1nJKyfsmxVtFMrcEPXw8sH2Bt9ZTgT7az8UqkjkhuqAeOiEmpjhSvWDps5ApDPZy7NkTg7e8YY5q2QTFedpXZ1Siofnuuu7uAqyZal0T9RCiC0rohJhR2K7dRi8j9gEXo5dhiTbPNn4P3G+K5d+jntw76JA7IYQQYgMooRNCCCE2gBI6IYQQYgMooRNCCCE2gBI6IYQQYgMooRNCCCE2gBI6IYQQYgMooRNCCCE2gBI6IYQQYgMooRNCCCE2gBI6IYQQYgMooRNCCCE2gBI6IYQQYgMooRNCCCE2gBI6IYQQYgMooRNCCCE2gBI6IYQQYgPszF0BbTAMAwAQi8UmL1sqlaKhoQFisRj29vb3RNn34msGgLq6OgB3P2+EEGJNrCKht3/R9unTx8w1IfeCuro6uLu7m7sahBCiEx5jBd0RuVyOmzdvwtXVFTwez9zVITaKYRjU1dXBz88PfD6djSKEWBerSOiEEEII0Yy6IYQQQogNoIROCCGE2ABK6IQQQogNoIROCCGE2ABK6IQQQogNoIROCCGE2ABK6IQQQogNoIROCCGE2ABK6IQQQogNoIROCCGE2ABK6IQQQogNoIROCCGE2ABK6IQQQogNoIROCCGE2ABK6IQQQogNoIROCCGE2ABK6IQQQogNoIROCCGE2ABK6IQQQogN+H9Qi3GzdUDEFAAAAABJRU5ErkJggg==" ], "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>"}