next_action
list
prompt
dict
next_legal_actions
string
[ 3 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 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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" ], "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>"}
[ 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>"}
[ 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 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>"}
[ 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>"}
[ 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>"}
[ 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>"}
[ 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>"}
[ 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>"}
[ 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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Zuro65pVXXlHa3qFzedOmTWOqqqqYkydPssFdKBQyCoWC3b/z5ZJdTZgwga3P5cuXGalUyvz555/M/v37mczMTDO1IjGHO3fuKH02fvvtN637L1iwgN13zJgxzPXr15kbN24wo0aNYrcvWLCA3d/YgA6Aee2115iamhpm7969Sj8YOtOUP8OY9j/y2GOPMZcvX2YaGxuZ8+fPG9aonetn9JGEEJukb0BvbGxke0txcXEMwzBMUVERu99zzz3H5hkWFqY1TwDM+PHj2f07tvH5fKampobdPmDAADbt1q1b7HZtAX3RokUMAIbH4zHTp09nNm7cyOzbt4+5ffs2101HzOz27dtKn5nTp09r3b/z5+7s2bPs9uLiYnb7/fffz243NqAHBQWxd51kGIYJCAhgADCurq5K+WgL6Mb+jwBgKisrdTWdXsyy9CvXFAoFbt68CS8vL7o7FTEbhmHQ0NCA0NBQzq/ht5b09HSNa8W7u7tjxowZ2LZtG0pKSnD27Fl88cUXbPr8+fPZx53XtNdEJBKpbOvWrZvSGvidL0NqaWnR5yVg5cqVKC0txYEDB5Cbm8uuKsnn8zF16lR88cUXKssQE9sUGBgIb29v9tz3+fPnkZCQoHH/zp+7zjeS6nzeWt1nk+lypURbW5vWevXu3Zu96yTQ/jmtrq426CZhxv6PBAUFoXv37nqXo41dBPSbN29y9oKNMSTl7wbtr1DIkfD/FkDo4as2/fhXWXByEeqVV8F/NhhUNgB8P2kSwrw81aYN2PkFGLUppMOff/6J+++/39rVsIjnn38e27ZtAwDs2LEDu3fvBgA89NBDGDBgALtfcHAwbty4AR6Phxs3biAkJEQlr65fooB+N//Rth1ov+Z33759qKurw7lz51BWVobc3Fz89NNP2L17N1JSUjBt2jTdL5ZYHZ/Px4QJE/Dll18CaJ/s+PTTT6v9QdbW1sZ+7oD2iWgd93rofMlYcHAw+9jV1RWtra1KM8UVCgWuXbumtV76fk61MfZ/RNPNnYxhFwHdy8sLAFBWVsY+thSZTIadB8vRI6IH+ALtvbaTVwGZXPcH4ZG0lezj4b0VGj88CrkCbdMewmOPPaZz5bvrb70JxV8zR7X5bfbddei7b3xPbdkymQxHjx7Vq1yuWbPsmpoa9OnTx+KfMWt68MEHMXDgQBQVFWHLli1sT+b5559X2m/SpEn48MMPwTAM0tPTsWnTJvTq1QvV1dX49ddf8emnn2L69OmYPXu2UfUICAhgv6TPnDmjdP3x9u3bAbTfX/7BBx/EgAEDUF5ejp9++gkAUFlZaVSZxDpWrlyJ7777DhKJBCUlJZg4cSJWrVqFvn37QiKR4Ndff8UHH3yA9957DykpKewPzqVLl+Kzzz4Dj8fD0qVL2fxSUlLYxxEREbh06RJEIhFOnTqFIUOG4P3339frlt36CAgIQHV1NUQiEW7cuKF0/xBz/4/owy4CekfQ8ff3h7e3t0XLlslkcHa+ATd3Nwg0DMOeLG1FfZNx/d5jpe15jo1X7bHLFQrI3d0REBCgMbhdXrUKjVdKjSr7z9fa7/iVkLNTabtMJoO7jnLNxZpld3Ck0zo5OTnIyclR2V5WVsYOWz7//PMoKipig7mnpyemT5+utH9WVhaOHj2K8+fPIy8vD3379lXJ05Re8sMPP8zeea5jCDYxMRH5+fkoKCjQuDS0k5OTymV3xLb17t0b//nPf5CWlgaRSIR9+/Zh3759avfNysrCoUOHUFpaih9//FEpgHbk1XkRpdmzZ2P58uUA2j9THh4ekEgkcHd35+Tukw8//DC+//57NDY2sqN4Hae1zP0/og/HOFFoRT+ebTE6mHfNp0UqM+iY4vTZRgfzrvm0dLmek9w7nn76aaVRiWnTpqmMUvj7+6OgoACrVq1CQkICPDw82Ps2jB49Ghs3bjTpvgSZmZmYMWMGgoODVX5QTZ48GWlpaYiMjISXlxcEAgECAwORnJyMQ4cO2dxqYkS3xx57DBcuXMCqVaswZMgQ+Pr6wtnZGWFhYXjsscewadMm9O7dG0FBQSgsLERGRgb69u0LoVAIV1dXxMTEYNmyZSgsLERgYCCb75IlS5CRkYHw8HC4uLggOjoae/fuxaBBgzip9z/+8Q9MmDABAQEBKmnm/h/Rh10s/SoWi+Hj44P6+nqr9NA//FcJevfurdJD//GsfpN6DBHhWY3oyPZfoXKFAvIbRzFu3DiV3mpxOvfDNm5TpyF63DjIZDLs379fbbnmZs2yq6urERgYaJXPGSGEmMouhtxtkSHBvPNwOsMw+KlE88zJckkAwiTN8PJ007iPIcG883A6wzA4Mydd477N/9yDhgEDIPT31zt/QgghtoGG3I1gSDAP9lZuYh6PB76OeebHr2o+h2tIMPcdNFDpOY/HA5y0/4a78voSvfMnhBBiOyigG6jwUo1B+/vxbqpsG9zbRedxR/9Q/dFw/h+bDSpbOvRhlW19lq/QedzFJRTUCSHE3lBAN1B1i2HXDF6s76ay7VSp7slvj/VVnfUuLSoyqOwmNT8ALv+f5ttqdohev96gcgghhFgfBXQD/HHdsFnoHU6U3u1tH7+ke7he3SVsf36xU82eul3KymQfX1yxAtAxB7LrJWyEEELsA02KM0Bltdyo48RN+p1393HnYVhvV7VpokOHjCq76do1vc67u/XogehM3b13QgghtokCuo1Q1yu3FOqVE0KI/aMhdz1dKde98L4x+NAdzK8a2TvXycmJgjkhhDgI6qHr6Uazn+6dDDS6n7Ned4mS7d/Pedlxn30OgY5L2AghhNgP+kbXk1T73fcMZsgQe5u4nruCeTwkZKuu7U0IIcS+UUC3sPv9BejX3To3HQlMegzd5861StmEEELMi86hW9j1GrlZ1oDXhyj/qFnWgCeEEGJ9FND15MLxWMaPZ1tw/vzveu0r8PHhtOzi9NkoOniQ0zwJIYRYFwV0PYW513Ke559tvfTqrbsmj+O8bMGXu1Cs5UYthBBC7AudQ9dTr/BglJ2TmiXvH8+2IPq+FkSE+KpN7zlqFH7fs5v7ghkGxemzEfDc83jg0Ue5z5/odPaFF6BobmKfuwQHI/Zd6yy9+8aX1WiW3l1JMMibjxVTuL3z3s1v/81pfp2FTppstrwJsQcU0G3ExTtCXLzTYpUFZqq3f4Lq7Z/QNekWUjwnXeMSvNLbt9l5Dt4jRyIyfY5Z67Joh0jjvf+qxAos3CECAAzt64Gnh2i+pS8hxPpoyN0ADwTqvmbcVD+ebcHVq6Uq24NGjzF72cXps3H+vwVmL+deVX3zZnuw1rGefgfxkSNmm8R4604tFmoJ5l2d+qORDe6EENtEAd0AfcMsc7lZqaQ7frmofG79/pkzLVK2dMsWlK5YbpGyHIlCoUB8fDzGjVM/36H8k49RuewNo/LmOqjv+kWMdT8Yd18CWw/qV65cgZOTE7Zu3WrtqhBicTTkbqBAYRNEBt5C1RhNrarbXAYNhrTwv2Yvu/W2eZa5dWTZ2dkoKSnB9u3bVdKunDmDhuPHtR7f+XSHugBenD6bk1MiJReuofCqt9Z9Ns0NZB+rC+ALd4iU9rElvXr1wowZM5CZmYmZM2fC21v7a7Wk+jNnUFdUiKayMsjq6qBobYWznx/ce/REtwkT4Na9u9F5S1oUOHi2CRVVbbhR0wbZX7/XBvdyxYzhXhy9AscikUiwbt06fP3116ioqIC7uzuGDh2KZcuWYfjw4daunlGoh26ggVHcThLSRN259NiXXrJI2f22f2qRchyFXC5HVlYWEhMTMXjwYJX0hvff03q89+JX9SpHXaBPSkpCRESEXscDwGentAe4Z4dK9MpHXaA3tC7msmTJElRVVWHz5s3WroqSqkN5qDl2DC3Xr0MukYCRySC9cwd1BadwceVbqD971ui86xoV+PmPFpRX3Q3mRLPGxkaMGDECq1evxuXLl9Ha2ora2locOHAASUlJ2LNnj7WraBQK6EYw98S1R3ppPrNp7olrvaw0w9qe7d+/H5WVlZg1a5ZKmj7D5WIdAb9D0JMTDa2aEn2Gyz875alXXqMeVH+bX1vQr18/xMfHY/v27VAoFEbnU1lZadD+xemztb7fPIEA/iNGoPeKNxG//VPEvPMuPKOi2hPlctz619caj124Q6T1/XNz4SGxrxCzRnhiTBxNXtRl1apVKC4uBgCkpaXhzp07OHToENzd3aFQKDB//nzU1NRYuZaGo4BuJHMF9QjPanh5aP+HNFdQd5s6DV7BwWbJ25FlZ2eDx+NhypQpRufRHgzSNQaEhJyduH+yZS7LWrhDhEWfaw4gm+YGYkKCbQ/jpqWlobKyEocPHzbq+IKCAsTExGDdunWc1SnihRcR/uw8ePbuDb6LC4TduiF02tNsesutW0bnHeAlwOQhnhgYKYSPB32ta8MwDD7//HP2+bvvvougoCA8/vjjSEtLAwCIxWL885//tFYVjUbvvAm4DuqPxQgQHRmm175cB/W+W7YgWsOELqIZwzDIz89HdHQ0fH19ldLyDZ6YpToyw3dz4+S9/vTfhYbVhKe6TejMs9lz510NGzYMAHDkyBGjjo+NjcWAAQOwbNkyrF27lpM6CdxUf6grpHfXtnDxt8zpvHtdWVkZqqqqAABeXl4IDw9n0/r3788+PnXqlMXrZiqaFGeisfFCFFxpRW2jvhcAac7HUAk5O1G6dg0kFy+aVDZdf268CxcuoKamBsnJySppPgWmfSFw+b6cq+9h0vH2Esg7DBw4EABw4sQJo4739PTEgQMHMG7cOGRkZIBhGGRkZHBZRShkMtz6+iv2eeCo0ZzmT9S73WnSb9cf4T6dltm+bYeTgymgc2BIr/bziUfPt6DVwNus/r84V/B4arpDeuq9rP1L5twrL6GtXmzQsQ9m55hUNgGuX78OAAjm8lSFhlvcanuv1KWVlZWZPEmNB+ADNcHcGnUxhJeXF4RCIfv+dBYREYGKigqD8lu+fDkSEhLYH24NFy7gyjr1Pfeup036btgI16AgpW3y5mZc27wJjVeuAAD8Hn4EQaPbA3rpLSk+/FH9/3LX0yBvpfohwMv862M4KqbLmhCdn9vjd6NdBXSZTAaZTGbxMgFAIdc9dXREjAsAoE0mxalrQLOGlWKHPCCBt0/78JqCYTQuNNJRpj6vOXrj+wAAqVSK8pUrIa26o3a/0HfehX9AQHs929T/+ugoz9JtbStlG6K6uhoA4Ofnx0kdIpevgHefPmrTVq5cqbItOzsbdXV1WLRokUpa196HoV4Z64HIEPXzOSxdF2P4+/tDJFKdB5Camqp2uzolJSUoLi5GQEAAevbsyUm9ZLW1uLJxA1r+/BMAEPjYSNw/e7ZdBhB71PnHd11dnVJafX292v3sBY/p+hPFBonFYiwZMRxTJk+Gs7Pl7yUu7htr8TKJ5TU1NWH69Omor6/X+/rlvXv3YtKkScjIyMDq1auV0kxZEEbf4fakpCSUl5ejvLxc636mLAij73C7PnWx5Fru/v7+cHV1xS0jJ5sdP34cycnJcHV1xeHDhxEXF6d1/473W9t713z9Oq5u3ABZTQ3A4yFkSiq6TZigsy4d758+78WvF5vx9clGAHQduibBwcG4c6e901NeXs6eR58zZw5yctpHx7Zu3YoXX3zRanU0hl310CMjI+HqatnLZeQKBc4AGD16tMV/TMhkMuTl5Vm8bGuVa+2yO3rbhgj6ayiV60tcitNno+cHm+DDUc/fFAt3iJA5yRl+vtzextecFAoF6uvrERtr3I/xoqIijB07FkKhUK9gro+GixdRtukDyJuawHNywgPznoP/X5P3TKVgGDS1tvfNpG13+2htcgaSlvZL94TOPDgJaBQAAJ555hn2CobXX38dW7ZswdmzZ/H11+2XDnp7e2Pq1KnWrKJR7Cqg8wUC8AXWOV/k7OxsldEBa5Z9r71mY8qLjY0Fn89Haanq+vv1Q4aaNDHu2qKFALiZHNffp8ykiXGZ38oA2O4KcV2VlpZCoVAozVo2RO/evZGYmIi1a9canUdX//v235A3td9Zj2lrQ8VH21Dx0TalfdSdb9dHrUSB//uX6i2eT5dJcbqs/cfm9Ec9MaS35W/+ZItWrFiBn376CcXFxfjqq6/w1Vd3Jyfy+Xx8/PHH8LfDqw7osjVCTODr64u4uDgUFRWpTLBJWrCAkzKK02dD2tKie0ct5k0exEldFu4QoaXV8vMbDFVQ0H6TocTERKOO9/Hxwb59+zgL5sS2eHh44Oeff8by5cvRu3dvuLi4wNfXF2PHjsXRo0cxbdo0a1fRKHbVQyfEFk2cOBGZmZkoLCxUu/QrF87Pf17j7HdLW5rbPnHIlnvreXl5EAgEGD9+vMXK1DWS0nFFijF0tXWAl8Cm3w9b5OXlhbfffhtvv/22tavCGeqhE2KiefPmQSAQYNeuXSppnF7jr2b+an5+vs4JcR3M/YVvSF3MqampCXv37sWECRMQGhpq7eoQYjEU0AkxUVhYGNLS0pCbm4vGxkaVdO/XXuOkHC5+HMwb1sBBTWy7d75nzx5IJBIsXrzY2lUhxKIooBPCgdWrV0MikWDLli0qaZFx8fA38XaMXPX0+0f3wJBeLiblYcvBvK2tDWvWrEFKSgpGjBhh7eoQYlEU0AnhQI8ePZCTkwMPDw+16eHznkP4uneMypvrpXmnD/fGsvHGTZ+x5WAOtK/cN3PmTLz3nn53sCPEkdCkOEI4ouu6Vf+QEPjn7ETxnHSNqwN29sCEFASkpnJVPSXdgnyxaS6waIdIzS1hVD3eyxMpw23/kqeIiAhkZmZauxqEWAUFdEIsrPNM9ZIFL0Le6by7a0gI+hrZkzdG53Xal+WK0NR6N+0+HwGWT7b+wjaEEP1QQCfEiuK2btO9k4WsnW7+4fSuy7MSQrhD59AJIYQQB0ABnRBCCHEAFNAJIYQQB0ABnRBCCHEAFNAJIYQQB0ABnRBCCHEAFNAJIYQQB0DXoRNiRWdfeAGK5ib2uUtwMGLfXW+VurzxZTWapXfXjQvy5mPFFH9OyzhwWsJpfp0lP+RptrwJsQcU0AmxMG1Lv0pv30Zx+mwAgPfIkYhMn2PWumhb+rVKrMDCHSIAwNC+Hnh6iJtZ60IIMQ0NuRNiIdU3b7YHaz3WcQcA8ZEjbHDn2q07tVio5zruAHDqj0Y2uBNCbBMFdEI4oFAoEB8fj3HjxqlNL//kY1Que8OovLkO6rt+EWPdD3KjjrX1oH7lyhU4OTlh69at1q4KIRZHQ+6EcCA7OxslJSXYvn27StqVM2fQcPy41uM73yJVXQAvTp/NyW1USy5cQ+FVb637dL5FqroAvnCHyGZvo9qrVy/MmDEDmZmZmDlzJry9tb9WS5KJxbj9/X/QdO0amioqwMhkAAD/Rx9F+HPPm5T3+T+lOFvRisqqNoibFWhtY+DrzscDgU4YHeeOUH/6qu/s119/RW5uLk6dOoUbN26grq4OISEhiIuLw9KlS/HII49Yu4pGoR46ISaSy+XIyspCYmIiBg8erJLe8L72e3N7L35Vr3LUBfqkpCRERETodTwAfHZKe4B7dqh+k9bUBXpD62IuS5YsQVVVFTZv3mztqiiR1dai6uBBNF65wgZzrvxyoRkFpa24VSdHYyuDNjkgalDgdJkU6/9Thz+uSzktz97t2rUL27ZtQ3FxMe7cuQOpVIqKigp8//33ePTRR9X+MLcHFNAJMdH+/ftRWVmJWbNmqaTpM1wu1hHwOwQ9OdHQqinRZ7j8s1P6zRQf9aCrSXUxp379+iE+Ph7bt2+HQqEwOp/KykqD9i9On631/Ra4uyNozBiEv/ACgiekGJT3wh0ire+fgA8M6e2KReN8sH5WAJZP9kNkcHuvXMEA+35r1HjsvYjP5yM1NRUHDx6ERCLB9evXkZqayqYvW7YMcrlxp6WsicZhCDFRdnY2eDwepkyZYnQe7YGAB2iYpsbFcLu+Fu4QgccADE99uq0Ot3eWlpaG5cuX4/Dhwxg9erTBxxcUFGDkyJF488038cYbxs196Mo1KAj3z5gJABAdOcJJnh1mj/CC0OVu/+w+HwGeHOSB9/bVAwBu19tfcDKndevWKZ2O8fDwwNatW/Gvf/0LAFBdXY2qqip069bNWlU0CvXQCTEBwzDIz89HdHQ0fH19ldLyDZ6YpRrM+W5unATzT/9daFhN1ARzoTPPLoI5AAwbNgwAcMTIwBkbG4sBAwZg2bJlWLt2LZdVM4vOwbyDrFMM9/Ogr/rO1M2taGq6ux6Eu7s7AgICLFklTlAPnRATXLhwATU1NUhOTlZJ8yk4ZVLeXPbKz9X3MOl4ewnkHQYOHAgAOHHihFHHe3p64sCBAxg3bhwyMjLAMAwyMjK4rKJZtckZfF90d5h9eAytIaANwzD4+9//zj6fP38+nJ2drVgj41BAJ8QE169fBwAEBwdzlymPh4TsHDWbNYyBa0grKyszeZIaD8AHaoK5NepiCC8vLwiFQvb96SwiIgIVFRUG5bd8+XIkJCSwP9waLlzAlXXqe+5dz6P33bARrkFBepdVekuKD38Uq03reh79rVQ/BHgJlLa1SBX47EgDyqvaAACDIl0xIkaod/n3GqlUimeeeYYdbh85cqRdjMqoY1cBXSGXQ2HhiQryvybVyDielaqPjjItXba1yrWVsg1RXV0NAPDz8+OkDpHLV8C7Tx+1aStXrlTZlp2djbq6OixatEglrespAEO9MtYDkSHqe3aWrosx/P39IRKpTiRLTU1Vu12dkpISFBcXIyAgAD179uS6ipyrb5Ljo4Ni3Kxt/558JEqI1GEeWn+A3cvEYjEmTZrEnppJSUnBnj174Opqu5M+teExjJ7LVlmRWCyGj48PcnNz4e7ubu3qEAfV1NSE6dOno76+Xu/rl/fu3YtJkyYhIyMDq1evVkozZUEYfYfbk5KSUF5ejvLycq37mbIgjL7D7frUxZJrufv7+8PV1RW3bt0yKr/jx48jOTkZrq6uOHz4MOLi4rTu3/F+6/PeiY4cwZ852e311OM69I73T9t7cau2DR/liVHXqAAPwBMD3DE6jr4vNblx4wbGjRuHkpISAMDf/vY3bNq0CQKBQMeRtsuueuhjxoyx+EIRMpkMeXl5GD16tMXPqVir7HvxNQN3e9uGCPprKLWmpobTuhSnz0bPDzbBh6OevykW7hAhc5Iz/Hx9rF0VvSkUCtTX1yM2Ntao44uKijB27FgIhUK9grk+GIUC8sb289ry1ta7dZW1oa2hAQDAFwrBN+Jzf+V/Mnx6WIxmKQMBH5gx3AsDetpnL9MSfv/9dyQnJ+P69evg8Xh45513sGTJEmtXy2R2FdCdnZ2tNlHhXiz7XnvNxpQXGxsLPp+P0tJSlbT6IUNNmhh3bdFCANxMjuvvU2bSxLjMb2UAbHeFuK5KS0uhUCjQv39/o47v3bs3EhMTsXbtWqPz6EpaXY0//v6ayva6glOo++tz8sC85xAwfLjBeR8obmTvlCdXADt/bsDOnxuU9lF3vv1etWHDBnZ+BcMweP311/H6668r7XP06FEkJSVZoXbGo2sZCDGBr68v4uLiUFRUhK5nr5IWLOCkjOL02ZC2tJiUx7zJgzipy8IdIrS0Wn5+g6EKCgoAAImJiUYd7+Pjg3379nEWzAmxBLvqoRNiiyZOnIjMzEwUFhaqXfqVC+fnP69x9rulLc1tX6zElnvreXl5EAgEGD9+vMXK1DWS4hoUZPRoi662fjnZ16h871XZ2dnIzs62djU4Rz10Qkw0b948CAQC7Nq1SyWN0xXe1Mxfzc/P1zkhroO5A7AhdTGnpqYm7N27FxMmTEBoaKi1q0OIxVBAJ8REYWFhSEtLQ25uLhobVdfM9n5N9bypMbj4cTBvWIPunfRgy73zPXv2QCKRYPHixdauCiEWRQGdEA6sXr0aEokEW7ZsUUmLjIuHvxETnTrjqqffP7oHhvRyMSkPWw7mbW1tWLNmDVJSUjBixAhrV4cQi6KATggHevTogZycHHh4eKhND5/3HMLXvWNU3lzfmGX6cG8sG2/c9BlbDuZA+8p9M2fOxHvv6XcHO0IcCU2KI4QjU6dO1ZruHxIC/5ydKJ6TrvZ8eFcPTEhBQKdbOnKpW5AvNs0FFu0Qabi/m7LHe3kiZbjtLx8aERGBzMxMa1eDEKuggE6IhXWeqV6y4EV2sREAcA0JQV8je/LG6LxO+7JcEZrurneC+3wEWD7Z+gvbEEL0QwGdECuK27rN2lVgrZ1u/uH0rsuzEkK4Q+fQCSGEEAdAAZ0QQghxABTQCSGEEAdAAZ0QQghxABTQCSGEEAdAAZ0QQghxABTQCSGEEAdA16ETYkVnX3gBiuYm9rlLcDBi313PaRk3v/03p/l1FjppstnyNtUbX1ajWXp3Hbwgbz5WTPHntIwDpyWc5tcZXbNPDEUBnRAL07b0q/T2bRSnzwYAeI8cicj0ORasmf3TtpRtlViBhTtEAIChfT3w9BA3y1WMEAugIXdCOKBQKBAfH49x48Zp3Kf65s32YK3HOu4AID5yhA3utu7KlStwcnLC1q1bOc9bn7a9dacWC/Vclx4ATv3RyAZ3W2fOtiWOhQI6IRzIzs5GSUmJxhuDlH/yMSqXvWFU3vYQ1Hv16oUZM2YgMzMTYrGY07x1te2uX8RY94PcqLztIaibs22JY6GAToiJ5HI5srKykJiYiMGDB6ukXzlzBrXHj2vNIyFnJ/unjj0E9SVLlqCqqgqbN2/mLE9dbVty4RoKr0q15rFpbiD7p449BHVztC1XZGIxru/6AudfexVnnn0G5176G8o+/AeaKytNzruhWYFvTkmQ9XUNXs0RYfnuauw4KsaNmjaj88zPzwePx9P4Z89366OAToiJ9u/fj8rKSsyaNUttesP72u/N7b34Vb3KURfUk5KSEBERodfx5tavXz/Ex8dj+/btUCgUWvfVt9662vazU95aj392qH6T1tQFdXttW0uS1dXhclYmqvLyIBWJwLS1oa2hAXWFhbi06v/QcPGi0XnXNynw3r46/HKhBTUSBeQKQNLC4Ey5FO/vq8OV/8k4fCWOgQI6ISbKzs4Gj8fDlClTVNL06VmLdQT8DkFPTjS0ahaXlpaGyspKHD58mJP8tLWtPj3rz07pN1N81IOuBtfN0kxt20ojeszF6bO1foav534Jqaj9fQga8//Qf8tWhL/wIsDjgZFKUbn9EzBy9adDFu4QaX0Pv/2vBDWS9h8viX2FWDPdH7MTvcDjATI58OWxBsgV+s6aUO/o0aNgGEbpj3rohNyjGIZBfn4+oqOj4evra3Q+7V+c6Rq/PBNyduL+ybZ7iViHYcOGAQCOHDlicl5cte3CHSIs+lxz8Ng0NxATEryMzt9STGnbgoICxMTEYN26dZzVp62xEXVFRQAAnrMzQp96Ck6envAfNgyeUdEAAKlIBPHvvxucd1OrAmfL20+lOAuACQM84OHKx4CerogMdgYA1EgUuHSTeumdUUAnxAQXLlxATU0NHnroIZW0fINnJav2NvhubhrPq9uigQMHAgBOnDhhcl7a2vbTfxcalBfDU90mdOZpPK9ui0xp29jYWAwYMADLli3D2rVrOalPc0UF8Ffv2zW4G/guLmyaW/f72cdNV68anPf16jZ0dL4DvQVwdrr7Bob6CdjH5VWmBfS0tDS4uLjAx8cHI0aMwO7du03Kz9roOnRCTHD9+nUAQHBwsEqaT8Epk/K2p0DewcvLC0KhkG0XU2hr23P1PUzK254CeQdT2tbT0xMHDhzAuHHjkJGRAYZhkJGRYVJ9ZPX17GOBu7tSGt/t7jX+MnE9DNXQcvfHrbuL8q8xYafnDc2mDblXVVUBAGQyGY4dO4Zjx47h3LlzWLNmjUn5WotdBXSZTAaZzLJDLB3lWbpca5Z9L75mY8usrq4GAPj5+XFXER4PCdk5ajar6WZqSSsrK7PKpC5/f3+IRHeHt42ttznalgfgAzXB3F7bFgAiIiJQUVFhUD7Lly9HQkICkpOT2W0NFy7gyjr1vfeup4L6btjYZQ9G41MeeCi9JcWHP6q/5K7rqZC3UpXfb5WQrZS34YKDg7FhwwaMHTsWPXr0gFgsxsaNG7FhwwYAwLvvvosXX3wR3bt3NyJ367KrgH7w4EG4d/klaCl5eXlWKdeaZd9rr7mpqUn3Tl24/dUTaW5u5qQOkctXwLtPH7VpK1euVNmWnZ2Nuro6LFq0SCXNlPPOpmhublb6PzW23ly37StjPRAZon51OHttWwBITU1VCfKalJSUoLi4GAEBAejZs6dJdXH28WEfy7v878g7LWfs5KP9SgR1vIR3Q3Vzq3JIb5bdfe7lZnhIj4mJQUxMDPvc3d0d69evx969e3HlyhXI5XIUFBRQQDe3MWPGwNvb8A+HKWQyGfLy8jB69Gg4OzvfE2Xfi68ZuNvbNkRQUBAAoKamhpM6XF39NgD1w+3qZt/m5+ejvLzcZmbmKhQK1NfXIzY2lt1mbL25btvNPzYCaFQ73G6vbQuA7Vnqcvz4cSQnJyMwMBCHDx9GVFSUUrpXTIzK566jZ67u8+jk4QGeQABGLkfr7dtQSKXsefSWTqcF3HtGIiTERaXdO3rm6t4Pd1ceBHxArgBEDXLI2hj2PPqt2rvXoIcHGf4dIZfLIRAIVLZ3Honh8+1zepldBXRnZ2eLf8nfy2Xfa6/ZmPJiY2PB5/NRWlrKaV2K02ej5web4MPlUL4FlJaWQqFQoH///ibnZa62XbhDhMxJzvDz9dG9sw0xpW2LioowduxYCIVCHD58GHFxcSbXR+DuDp+Bg1BXcAqMTIabX3+NbhMnouHcOUguXQIAuAQGwrtfP4PzdnPhIz7cBafLpJDJge9/a8TYB91x8YYMV2+3B3R/Tz6iQg3/n01LS0NsbCxSU1MRFRWF2tpabNy4kf2cOTs7s1cU2Bu7CuiE2BpfX1/ExcWhqKgIDMMo/cqvHzLUpIlx1xYtBGBfk+MKCgoAAImJiSbnpa1t+/uUmTQxLvNbGQCRXU2OM6Vte/fujcTERKxdu5aTH1sd7p8+HU1Xr0AqEqHq4E+oOvgTm8ZzccEDzz0PnpresD4mDvZEeVUdaiQK/PxHC37+o4VNcxYAM4Z7QcA3fMi9uroaq1atwqpVq9Smr1u3DiEhIUbV2drsc1yBEBsyceJE1NfXo7BQ+VKqpAULOMm/OH02pC0tune0AXl5eRAIBBg/fjwn+Wlq23mTB3GS/8IdIrS02se1zKa0rY+PD/bt28dpMAcAZ19f9FmZicBRo+ASGAieQAAnLy/4DhyEqDffgld0tNF5+7jz8ep4XwyPEcLfkw8BH/Bw5SE+3AWLx/uiVzfjRvBWrFiBefPmITY2Fn5+fnByckJwcDCefPJJHDp0CK++qt/KjbaIeuiEmGjevHlYtWoVdu3apXa9cS6cn/+8xtnvtqKpqQl79+7FhAkTEBoaykmelmjbpbntl1XZcm/dHG2rD31Gh5y9vdF91mxglmH3G9Cnvb3c+Egd6onUoQZlrdWoUaMwatQo7jK0IdRDJ8REYWFhSEtLQ25uLhobG5XSOB0uV3Pb1Y6JW7Zgz549kEgkWLx4sc599a23trY1dwC217Yl9y4K6IRwYPXq1ZBIJNiyZYtKmvdrr3FShi2fS29ra8OaNWuQkpKCESNGcJq3tradN6yBkzJsuXduzrYljoUCOiEc6NGjB3JycuDh4aGSFhkXD//hw03K35aDOdC+qtvMmTPx3nv63WjGENratn90Dwzp5aLmKP3ZcjAHzNu2xLHQOXRCODJ16lSNaeHznoPXE+NR8cZSg/O19WAOtK9WZs7rtbW17fTh3hgZXYe1+wy/R7atB3PA/G1LHAf10AmxEP+QkPbgrGWZ0c4emJBiF8HcFnQL8sWmuYF6LwX6eC9PuwjmhBiCeuiEWFjnmeolC16EvNNkL9eQEPRd9441quUQOq/TvixXhKbWu2n3+QiwfLJ9LdRDiCEooBNiRXFbt5m9jNBJtn8fdXNYO938PfDkhzzNXgYh+qIhd0IIIcQBUEAnhBBCHAAFdEIIIcQBUEAnhBBCHAAFdEIIIcQBUEAnhBBCHAAFdEIIIcQB0HXohFjR2RdegKK5iX3uEhyM2HfXc1rGgdMSTvPrzJavw37jy2o0S+/eoS7Im48VU/w5LePmt//mNL/O7tX1A4jxKKATYmHFc9LV3goVAKS3b6M4vf2+0t4jRyIyfY4Fa2b/Fu0QQX3LAlViBRbuEAEAhvb1wNND3CxXMUIsgIbcCeGAQqFAfHw8xo0bp3Gf6ps324O1hmDelfjIETa427orV67AyckJW7du5Txvfdr21p1aLNQSzLs69UcjG9xtnTnbljgWCuiEcCA7OxslJSUa74pV/snHqFz2hlF520NQ79WrF2bMmIHMzEyIxWJO89bVtrt+EWPdD3Kj8raHoG7OtiWOhQI6ISaSy+XIyspCYmIiBg8erJJ+5cwZ1B4/rjWPhJyd7J869hDUlyxZgqqqKmzevJmzPHW1bcmFayi8KtWax6a5geyfOvYQ1M3RtlyRicW4vusLnH/tVZx59hmce+lvKPvwH2iurDQ574ZmBb45JUHW1zV4NUeE5burseOoGDdqDL9Vbof8/HzweDyNf/Z8q1oK6ISYaP/+/aisrMSsWbPUpje8/57W470Xv6pXOeqCelJSEiIiIvQ63tz69euH+Ph4bN++HQqFQuu++tZbV9t+dspb6/HPDtVvQqC6oG6vbWtJsro6XM7KRFVeHqQiEZi2NrQ1NKCusBCXVv0fGi5eNDrv+iYF3ttXh18utKBGooBcAUhaGJwpl+L9fXW48j8Zh6/EMVBAJ8RE2dnZ4PF4mDJlikqaPj1rsY6A3yHoyYmGVs3i0tLSUFlZicOHD3OSn7a21adn/dkp/Wbhj3rQ1eC6WZqpbVtpRI+5OH221s/w9dwvIRW1vw9BY/4f+m/ZivAXXgR4PDBSKSq3fwJGrv50yMIdIq3v4bf/laBG0v7jJbGvEGum+2N2ohd4PEAmB7481gC5Qt9ZE+odPXoUDMMo/VEPnZB7FMMwyM/PR3R0NHx9fY3Op/2LM13jl2dCzk7cP9n2L2MaNmwYAODIkSMm58VV2y7cIcKizzUHj01zAzEhwcvo/C3FlLYtKChATEwM1q1bx1l92hobUVdUBADgOTsj9Kmn4OTpCf9hw+AZFQ0AkIpEEP/+u8F5N7UqcLa8/VSKswCYMMADHq58DOjpishgZwBAjUSBSzepl94ZBXRCTHDhwgXU1NTgoYceUknLN3hWsmpvg+/mpvG8ui0aOHAgAODEiRMm56WtbT/9d6FBeTE81W1CZ57G8+q2yJS2jY2NxYABA7Bs2TKsXbuWk/o0V1QAf/W+XYO7ge/iwqa5db+ffdx09arBeV+vbkNH5zvQWwBnp7tvYKifgH1cXmVaQE9LS4OLiwt8fHwwYsQI7N6926T8rI2uQyfEBNevXwcABAcHq6T5FJwyKW97CuQdvLy8IBQK2XYxhba2PVffw6S87SmQdzClbT09PXHgwAGMGzcOGRkZYBgGGRkZJtVHVl/PPha4uyul8d3uXuMvE9fDUA0td3/curso/xoTdnre0GzakHtVVRUAQCaT4dixYzh27BjOnTuHNWvWmJSvtdhVQJfJZJDJLDvE0lGepcu1Ztn34ms2tszq6moAgJ+fH3cV4fGQkJ2jZrOabqaWtLKyMqtM6vL394dIdHd429h6m6NteQA+UBPM7bVtASAiIgIVFRUG5bN8+XIkJCQgOTmZ3dZw4QKurFPfe+96Kqjvho1d9mA0PuWBh9JbUnz4o/pL7rqeCnkrVfn9VgnZSnkbLjg4GBs2bMDYsWPRo0cPiMVibNy4ERs2bAAAvPvuu3jxxRfRvXt3I3K3LrsK6AcPHoR7l1+ClpKXl2eVcq1Z9r32mpuamnTv1IXbXz2R5uZmTuoQuXwFvPv0UZu2cuVKlW3Z2dmoq6vDokWLVNJMOe9siubmZqX/U2PrzXXbvjLWA5Eh6leHs9e2BYDU1FSVIK9JSUkJiouLERAQgJ49e5pUF2cfH/axvMv/jrzTcsZOPtqvRFDHS3g3VDe3Kof0Ztnd515uhof0mJgYxMTEsM/d3d2xfv167N27F1euXIFcLkdBQQEFdHMbM2YMvL0N/3CYQiaTIS8vD6NHj4azs/M9Ufa9+JqBu71tQwQFBQEAampqOKnD1dVvA1A/3K5u9m1+fj7Ky8ttZmauQqFAfX09YmNj2W3G1pvrtt38YyOARrXD7fbatgDYnqUux48fR3JyMgIDA3H48GFERUUppXvFxKh87jp65uo+j04eHuAJBGDkcrTevg2FVMqeR2/pdFrAvWckQkJcVNq9o2eu7v1wd+VBwAfkCkDUIIesjWHPo9+qvXsNeniQ4d8RcrkcAoFAZXvnkRg+3z6nl9lVQHd2drb4l/y9XPa99pqNKS82NhZ8Ph+lpaWc1qU4fTZ6frAJPlwO5VtAaWkpFAoF+vfvb3Je5mrbhTtEyJzkDD9fH9072xBT2raoqAhjx46FUCjE4cOHERcXZ3J9BO7u8Bk4CHUFp8DIZLj59dfoNnEiGs6dg+TSJQCAS2AgvPv1MzhvNxc+4sNdcLpMCpkc+P63Rox90B0Xb8hw9XZ7QPf35CMq1PD/2bS0NMTGxiI1NRVRUVGora3Fxo0b2c+Zs7Mze0WBvbGrgE6IrfH19UVcXByKiorAMIzSr/z6IUNNmhh3bdFCAPY1Oa6goAAAkJiYaHJe2tq2v0+ZSRPjMr+VARDZ1eQ4U9q2d+/eSExMxNq1azn5sdXh/unT0XT1CqQiEaoO/oSqgz+xaTwXFzzw3PPgqekN62PiYE+UV9WhRqLAz3+04Oc/Wtg0ZwEwY7gXBHzDh9yrq6uxatUqrFq1Sm36unXrEBISYlSdrc0+xxUIsSETJ05EfX09CguVL6VKWrCAk/yL02dD2tKie0cbkJeXB4FAgPHjx3OSn6a2nTd5ECf5L9whQkurfVzLbErb+vj4YN++fZwGcwBw9vVFn5WZCBw1Ci6BgeAJBHDy8oLvwEGIevMteEVHG523jzsfr473xfAYIfw9+RDwAQ9XHuLDXbB4vC96dTNuBG/FihWYN28eYmNj4efnBycnJwQHB+PJJ5/EoUOH8Oqr+q3caIuoh06IiebNm4dVq1Zh165datcb58L5+c9rnP1uK5qamrB3715MmDABoaGhnORpibZdmtt+WZUt99bN0bb60Gd0yNnbG91nzQZmGXa/AX3a28uNj9ShnkgdalDWWo0aNQqjRo3iLkMbQj10QkwUFhaGtLQ05ObmorGxUSmN0+FyNbdd7Zi4ZQv27NkDiUSCxYsX69xX33pra1tzB2B7bVty76KATggHVq9eDYlEgi1btqikeb/2Gidl2PK59La2NqxZswYpKSkYMWIEp3lra9t5wxo4KcOWe+fmbFviWCigE8KBHj16ICcnBx4eHippkXHx8B8+3KT8bTmYA+2rus2cORPvvaffjWYMoa1t+0f3wJBeLmqO0p8tB3PAvG1LHAudQyeEI1OnTtWYFj7vOXg9MR4Vbyw1OF9bD+ZA+2pl5rxeW1vbTh/ujZHRdVi7z/B7ZNt6MAfM37bEcVAPnRAL8Q8JaQ/OWpYZ7eyBCSl2EcxtQbcgX2yaG6j3UqCP9/K0i2BOiCGoh06IhXWeqV6y4EXIO032cg0JQd9171ijWg6h8zrty3JFaGq9m3afjwDLJ9vXQj2EGIICOiFWFLd1m9nLSH7I0+xl2KK1083fAw+dZPv3qCf3DhpyJ4QQQhwABXRCCCHEAVBAJ4QQQhwABXRCCCHEAVBAJ4QQQhwABXRCCCHEAVBAJ4QQQhwABXRCCCHEAVBAJ4QQQhwABXRCCCHEAVBAJ4QQQhwABXRCCCHEAVBAJ4QQQhwABXRCCCHEAVBAJ4QQQhwABXRCCCHEAVBAJ4QQQhyAk7UroA+GYQAAYrHY4mXLZDI0NTVBLBbD2dn5nij7XnzNANDQ0ADg7ueNEELsiV0E9I4v2u7du1u5JuRe0NDQAB8fH2tXgxBCDMJj7KA7olAocPPmTXh5eYHH41m7OsRBMQyDhoYGhIaGgs+ns1GEEPtiFwGdEEIIIdpRN4QQQghxABTQCSGEEAdAAZ0QQghxABTQCSGEEAdAAZ0QQghxABTQCSGEEAdAAZ0QQghxABTQCSGEEAdAAZ0QQghxABTQCSGEEAdAAZ0QQghxABTQCSGEEAdAAZ0QQghxABTQCSGEEAdAAZ0QQghxABTQCSGEEAdAAZ0QQghxABTQCSGEEAdAAZ0QQghxAP8fLwPaAfn7sesAAAAASUVORK5CYII=" ], "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>"}
[ 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, 2 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 3 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 0, 4 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 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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Y119/XWF5G/nyZs2axZSVlTG//fYbm9yFQiEjk8nY7eUvl+woNjaWrc/NmzcZsVjM/PHHH8yxY8eY5ORkI7UiMYbS0lKFz8Z///tfjdsvW7aM3Xb8+PHM3bt3mXv37jHPPPMMu3zZsmXs9vomdADMm2++yVRUVDBHjhxR+MEgT118hjHs/8iYMWOYmzdvMvX19czVq1d1a1T5+um9JyHEImmb0Ovr69neUnh4OMMwDJOTk8Nu99JLL7Exu3fvrjEmAGbSpEns9m3L+Hw+U1FRwS6Piopi1z148IBdrimhJyYmMgAYHo/HzJ49m/noo4+Yo0ePMg8fPuS66YiRPXz4UOEzc/HiRY3by3/uLl++zC7Pzc1ll/fo0YNdrm9C9/X1Ze86yTAM4+3tzQBgHB0dFeJoSuj6/h8BwJSUlHTWdFoxytSvXJPJZLh//z7c3Nzo7lTEaBiGQW1tLfz9/Tm/ht9c4uPj1c4V7+zsjDlz5uDTTz9FXl4eLl++jC+//JJd//LLL7OP5ee0V0ckEikt69q1q8Ic+PKXITU1NWnzErBmzRoUFBTg+PHjSEtLY2eV5PP5mDlzJr788kulaYiJZfLx8YG7uzt77vvq1auIjIxUu738507+RlLy561VfTaZDldKtLS0aKxXSEgIe9dJoPVzWl5ertNNwvT9P+Lr64uePXtqXY4mVpHQ79+/z9kLJqQzf/zxB3r06GHuapjEkiVL8OmnnwIAUlJS8NVXXwEAnnjiCURFRbHb+fn54d69e+DxeLh37x66deumFKvjlyig3c1/NC0HWq/5PXr0KKqqqnDlyhUUFhYiLS0NJ06cwFdffYW4uDjMmjWr8xdLzI7P5yM2NhaHDh0C0DrY8YUXXlD5g6ylpYX93AGtA9Ha7vUgf8mYn58f+9jR0RHNzc0KI8VlMhnu3LmjsV7afk410ff/iLqbO+nDKhK6m5sbAKCwsJB9bCoSiQSnT5/GmDFj9Jp9zhrLfhRfM9B6C90+ffqY/DNmToMGDcLgwYORk5ODXbt2sT2ZJUuWKGw3ZcoU7Ny5EwzDID4+Htu3b0fv3r1RXl6OX3/9FZ9//jlmz56N+fPn61UPb29v9kv60qVLCtcf7927F0Dr/eUHDRqEqKgoFBUV4cSJEwCAkpISvcok5rFmzRp8//33qKurQ15eHiZPnox169ZhwIABqKurw6+//opt27Zhy5YtiIuLY39wrly5Evv27QOPx8PKlSvZeHFxcezjwMBA3LhxAyKRCBcuXMCwYcOwdetWrW7ZrQ1vb2+Ul5dDJBLh3r17CvcPMfb/Ea1wcuDeyKqrqxkATHV1tcnLFovFzJEjRxixWPzIlP0ovmaGYRiRSGS2zxmXOjuHDijeI2DPnj0K61xdXZmamhqFmOXl5UxoaKjGmPL3X2hbps25TIZhmNdee00pXtto30WLFqkt087OjsnNzeW2AYnRnTp1ivHx8dH4ecrNzWVKS0uZkJAQtduEhIQwZWVlbNz169ez63g8HuPq6soArSPJO37u5M+hdxxZrm5MR9sATfm/tjEpXP0fMYRtnCgkhOjthRdeUDgqMWvWLKWjFF5eXsjKysK6desQGRkJFxcX9r4N48aNw0cffWTQfQmSk5MxZ84c+Pn5KR3unDp1KmbMmIHg4GC4ublBIBDAx8cHMTEx+Pnnny1uNjHSuTFjxiA/Px/r1q3DsGHD4OnpCXt7e3Tv3h1jxozB9u3bERISAl9fX2RnZyMpKQkDBgyAUCiEo6Mj+vfvj1WrViE7Oxs+Pj5s3BUrViApKQkBAQFwcHBAv379cOTIEQwZMoSTen/88ceIjY2Ft7e30jpj/x/RhlVM/VpTUwMPDw9UV1fD3d3dpGVLJBIcO3YMEydONMvhZ3OU/Si+ZqB1bmkfHx+zfM4IIcRQ1EMnhBBCbAAldEIIIcQGUEInhBBCbAAldEIIIcQGUEInhBBCbAAldEIIIcQGUEInhBBCbAAldEIIIcQGUEInhBBCbAAldEIIIcQGUEInhBBCbAAldEIIIcQGUEInhBBCbAAldEIIIcQG2Jm7AoQ8yi4vXQpZYwP73MHPD6EfbDZLXd4+VI5GcfvdlH3d+XhnmhenZdz/7l+cxpPnP2Wq0WITYg0ooRNiYrkL4gGGUblO/PAhcuPnAwDcx45FcPwCo9YlMUUE1TUBympkSEgRAQCGD3DBC8OcjFoXQohh6JA7ISZSfv9+a7JWk8w7qjl1ik3uXHtQWokEDcm8owvX6tnkTgixTJTQCeGATCZDREQEJk6cqHJ90Z7PULLqbb1ic53UD56twaYfpXrta+lJ/datW7Czs8Mnn3xi7qoQYnJ0yJ0QDqSmpiIvLw979+5VWnfr0iXUnjuncf/I/QfYx6oSeG78fIVt9JWXfwfZt901brN9oQ/7WFUCT0gRKWxjSXr37o05c+YgOTkZc+fOhbu75tdqStWXLqEqJxsNhYWQVFVB1twM+y5d4NwrCF1jY+HUs6feseuaZDh5uQHFZS24V9ECyZ+/14b2dsSckW4cvQLbUldXh02bNuGbb75BcXExnJ2dMXz4cKxatQojR440d/X0Qj10QgwklUqxdu1aREdHY+jQoUrra7du0bi/+/I3tCpHVaIfPXo0AgMDtdofAPZd0JzgFg2v0yqOqkSva12MZcWKFSgrK8OOHTvMXRUFZT+no+KXX9B09y6kdXVgJBKIS0tRlXUB19e8h+rLl/WOXVUvw5lrTSgqa0/mRL36+nqMGjUK69evx82bN9Hc3IzKykocP34co0ePxuHDh81dRb1QQifEQMeOHUNJSQnmzZuntE6bw+U1nST8Nr7PTda1agq0OVy+74KrVrGeGeRoUF2MKSwsDBEREdi7dy9kMpnecUpKSnTaPjd+vsb3mycQwGvUKIS88y4i9n6O/n//AK59+7aulErx4J/fqN03IUWk8f1zcuAheoAQ80a5Ynw4DV7szLp165CbmwsAmDFjBkpLS/Hzzz/D2dkZMpkML7/8MioqKsxcS91RQifEQKmpqeDxeJg2bZreMVqTQbzahBC5/wB6TDXNZVkJKSIkfqE+gWxf6IPYSMs+jDtjxgyUlJQgIyNDr/2zsrLQv39/bNq0ibM6BS59BQGLFsM1JAR8BwcIu3aF/6wX2PVNDx7oHdvbTYCpw1wxOFgIDxf6WteEYRh88cUX7PMPPvgAvr6+ePrppzFjxgwAQE1NDf7xj3+Yq4p6o3eeEAMwDIPMzEz069cPnp6eCusydR6YpTzmnO/kxMm588//la1bTXjKy4T2PIs9d97RiBEjAACnTp3Sa//Q0FBERUVh1apV2LhxIyd1Ejgp95xlYjH72MGL22v+iWqFhYUoKysDALi5uSEgIIBdN3DgQPbxhQsXTF43Q9GgOEIMkJ+fj4qKCsTExCit88gy7AuBi0Te5kp1L4P2t5ZE3mbw4MEAgPPnz+u1v6urK44fP46JEyciKSkJDMMgKSmJyypCJpHgwTdfs899nhnHaXyi2sOHD9nHHX+Ee3h4qNzOWlBCJ8QAd+/eBQD4+flxF5THQ2TqfhWLVXSbNawrLCw0eJAaD8A2FcncHHXRhZubG4RCIfv+yAsMDERxcbFO8VavXo3IyEj2h1ttfj5ubVLdc+942mTAhx/B0ddXYZm0sRF3dmxH/a1bAIAuf3kSvuNaE3rBAzF2/lSjMnbH0yDvTe8CbzeBTq+FtGM6zAkh/1zTZ9xSWVVCl0gkkEgkJi9T/t9HoexH8TXrW2Z5eTkAoEuXLpzUIXj1O3Dv00flujVr1igtS01NRVVVFRITE5XWdex96Or1CS4I7qZ6gJWp66IPLy8viETK4wCmT5+ucrkqeXl5yM3Nhbe3N4KCgjipl6SyErc++hBNf/wBAPAZMxY95s+3ygRijeR/fFdVVSmsq66uVrmdtbCqhH7y5Ek4Ozubpez09HSzlGvOss1Vrvu1q8i6dtXk5eqT0J3+PC/a2NjISR1ur38fgOrD7cnJyUrLMjMzUVRUpHKdoXb8VA+gXuXhdlPXRR+NjY0qvy8+/PBDrfY/d+4cYmJi4OPjg4yMDPRtG5EOwK1/f6X3qK1nrulUSePdu7j90YeQVFQAPB66TZuOrrGxCtuEdHNQavO2nrm1nfqwREFBQXjsscdQWlqKuro6FBcXs+fRr1y5wm43bNgwc1VRb1aV0MePH2/yiSIkEgnS09Mxbtw42NvbPxJlm/s1Z127iqDgYAj4ph2z2aBHUvb981Aq15e45MbPR9C27fDgqOdviIQUEZKn2KOLp0fnG1sImUyG6upqhIaG6rV/Tk4OJkyYAKFQiIyMDISHhxtcp9rr11G4fRukDQ3g2dnh8cUvwevPwXuGkjEMGppbDxeLW9oPG7dIGdQ1tV66J7TnwU5ARwEA4MUXX2SvYPh//+//YdeuXbh8+TK++ab10kF3d3fMnDnTnFXUi1UldHt7e5MnmEe5bHO+ZgGfD77AtOcG9fkBERoaCj6fj4KCAqV11cOGGzQw7k5iAgBuBscN9Cg0aGBc8ncSAJY7Q1xHBQUFkMlkCqOWdRESEoLo6Ghs3LhR7xgd/e+7f0Ha0HpnPaalBcW7P0Xx7k8VtlF1vl0blXUy/O2flUrLLxaKcbGw9cfm7KdcMSxEqEfNbc8777yDEydOIDc3F19//TW+/rp9cCKfz8dnn30GLyu86oAuWyPEAJ6enggPD0dOTo7SAJvRy5ZxUkZu/HyIm5oMirF46hBO6pKQIkJTs+nHN+gqKysLABAdHa3X/h4eHjh69ChnyZxYFhcXF5w5cwarV69GSEgIHBwc4OnpiQkTJuD06dOYNWuWuauoF6vqoRNiiSZPnozk5GRkZ2ernPqVC1dfXqJ29LuprUxrHThkyb319PR0CAQCTJo0yWRldnYkJWSV/pe9ddbW3m4Ci34/LJGbmxvef/99vP/+++auCmeoh06IgRYvXgyBQICDBw8qrePyWnJVt11tG4imDWN/4etSF2NqaGjAkSNHEBsbC39/f3NXhxCToYROiIG6d++OGTNmIC0tDfX19Urr3d98k5NyuPhxsHhELQc1seze+eHDh1FXV4fly5ebuyqEmBQldEI4sH79etTV1WHXrl1K64LDI+Bl4O0YuerpD+zXC8N6OxgUw5KTeUtLCzZs2IC4uDiMGjXK3NUhxKQooRPCgV69emH//v1wcXFRuT5g8UsI2PR3vWJzetgewOyR7lg1Sb/hM5aczIHWmfvmzp2LLVu0u4MdIbaEBsURwpHOrlv16tYNXvsPIHdBvMrz4R09HhsH7+nTuaqegq6+nti+EEhMEam4JYyyp3u7Im6k5V/yFBgYaDET2xBiapTQCTEx+ZHqectegVTuvLtjt24YoGdPXh/y87SvShOhobl93WMeAqyeav6JbQgh2qGETogZhX/yaecbmcjG2cY/nO4/xTT3dCfkUUTn0AkhhBAbQAmdEEIIsQGU0AkhhBAbQAmdEEIIsQGU0AkhhBAbQAmdEEIIsQGU0AkhhBAbQNehE2JGl5cuhayxgX3u4OeH0A82m6Uubx8qR6O4fd44X3c+3pnmxWkZxy/WcRpPXswTrkaLTYg1oIROiIlpmvpV/PAhcuPnAwDcx45FcPwCo9ZF09SvZTUyJKSIAADDB7jghWFORq0LIcQwdMidEBMpv3+/NVlrMY87ANScOsUmd649KK1EgpbzuAPAhWv1bHInhFgmSuiEcEAmkyEiIgITJ05Uub5oz2coWfW2XrG5TuoHz9Zg049Svfa19KR+69Yt2NnZ4ZNPPjF3VQgxOTrkTggHUlNTkZeXh7179yqtu3XpEmrPndO4v/wtUlUl8Nz4+ZzcRjUv/w6yb7tr3Eb+FqmqEnhCishib6Pau3dvzJkzB8nJyZg7dy7c3TW/VlOS1NTg4Q//RsOdO2goLgYjkQAAvJ56CgEvLTEo9tU/xLhc3IySshbUNMrQ3MLA05mPx33sMC7cGf5e9FWvyYQJE3DixAn2eX5+Pvr162fGGumHeuiEGEgqlWLt2rWIjo7G0KFDldbXbtV8b2735W9oVY6qRD969GgEBgZqtT8A7LugOcEtGq7doDVViV7XuhjLihUrUFZWhh07dpi7KgoklZUoO3kS9bduscmcK2fzG5FV0IwHVVLUNzNokQKiWhkuFoqx+d9VuHZXzGl5tiQlJUUhmVszSuiEGOjYsWMoKSnBvHnzlNZpc7i8ppOE38b3ucm6Vk2BNofL913QbqT4M4McDaqLMYWFhSEiIgJ79+6FTCbTO05JSYlO2+fGz9f4fgucneE7fjwCli6FX2ycTrETUkQa3z8BHxgW4ojEiR7YPM8bq6d2QbBfa69cxgBH/1uvdt9H2f379/HGG2+Az+dDKBSauzoGo+MwhBgoNTUVPB4P06ZN0ztGayLgAWqGqXFxuF1bCSki8BiA4aleb6mH2+XNmDEDq1evRkZGBsaNG6fz/llZWRg7dizeffddvP22fmMfOnL09UWPOXMBAKJTpziJ2Wb+KDcIHdr7Z495CPDcEBdsOVoNAHhYrd+YCVu3dOlSVFVV4a233sI333yD4uJic1fJINRDJ8QADMMgMzMT/fr1g6enp8K6TJ0HZiknc76TEyfJ/PN/ZetWExXJXGjPs4pkDgAjRowAAJzSM3GGhoYiKioKq1atwsaNG7msmlHIJ/M2Erkc3sWFvuo7OnToEH744Qf06dMHf/vb38xdHU5QD50QA+Tn56OiogIxMTFK6zyyLhgUm8te+ZXqXgbtby2JvM3gwYMBAOfPn9drf1dXVxw/fhwTJ05EUlISGIZBUlISl1U0qhYpgx9y2g+zj+xPcwjIe/jwIRISEsDn8/HFF1/Ayck22ocSOiEGuHv3LgDAz8+Pu6A8HiJT96tYrOYYuJp1hYWFBg9S4wHYpiKZm6MuunBzc4NQKGTfH3mBgYE6H1pdvXo1IiMj2R9utfn5uLVJdc+943n0AR9+BEdfX63LKnggxs6falSu63ge/b3pXeDtJlBY1iSWYd+pWhSVtQAAhgQ7YlR/6z8/zKW//vWvKC8vR2JiIp588klzV4czVpXQJRIJJByPDtWmTPl/tSEWi7H5xyZU1qs+H7ry/yTw9e28x6NP2VwwV7nyZUoNGMykL33KLC8vBwB06dKFkzoEr34H7n36qFy3Zs0apWWpqamoqqpCYmKi0rqOpwB09foEFwR3U91zMXVd9OHl5QWRSHkg2fTp01UuVyUvLw+5ubnw9vZGUFAQ11XkXHWDFLtP1uB+Zevx9if7CjF9hIvGH2CPmpycHHz77bfw9PTElClTkJOTA6D1e7vN1atXIZPJMGDAAHNVUy88htFy2iozqqmpgYeHB9LS0uDs7Gzu6qj1S+UQSBgHnfYZ0+VX+s9mIRoaGjB79mxUV1drff3ykSNHMGXKFCQlJWH9+vUK6wyZEEbbw+2jR49GUVERioqKNG5nyIQw2h5u16YuppzL3cvLC46Ojnjw4IFe8c6dO4eYmBg4OjoiIyMD4eHhGrdve7+1ee9Ep07hj/2prfXU4jr0tvdP03vxoLIFu9NrUFUvAw/As1HOGBduud+X5pKZmYkxY8Z0ul1ERAQuXbpk/ApxyKp66OPHjzf5RBESiQTp6ekYN24c7O3tVW7z8Yk6FJfpN4r0dOVTAIAP53roVbYxmKtcc5fd1tvWhe+fh1IrKio4rUtu/HwEbdsOD456/oZISBEheYo9ungqf0YtlUwmQ3V1NUJDQ/XaPycnBxMmTIBQKNQqmWuDkckgrW89ry1tbm6vq6QFLbW1AAC+UAi+Hp/7W/+T4POMGjSKGQj4wJyRbogKstxLC4lxWFVCt7e3N/mXfGdlczUV5lsHq7FupjvcnZV7+OZ63ZbY3sYuU1ehoaHg8/koKChQWlc9bLhBA+PuJCYA4GZw3ECPQoMGxiV/JwFguTPEdVRQUACZTIaBAwfqtX9ISAiio6OxceNGvWN0JC4vx7W33lRaXpV1AVV/fk4eX/wSvEeO1Dn28dx69k55Uhlw4EwtDpypVdhG1fn2R9Ho0aOh6sC0/NgKminuEcT1vNbv/qMG6VlFnMYkxuXp6Ynw8HDk5OQofUmMXraMkzJy4+dD3NRkUIzFU4dwUpeEFBGamk0/tkJXWVlZAIDo6Gi99vfw8MDRo0c5S+aEmIJV9dAtiS7JXL5XwzAMElPVH9o9es0VESENeMyLzn1Zi8mTJyM5ORnZ2dkqp37lwtWXl6gd/W5qK9NaJyux5N56eno6BAIBJk2aZLIyOzuS4ujrq/fRls7a+rUYT73iknadjUOxBtRD14MuyXxQgOIhdB6PB3u+5nGI679v0KtexDwWL14MgUCAgwcPKq3jdIY3FYcJMzMztf4iMnYC1qUuxtTQ0IAjR44gNjYW/v7+5q4OISZDCV1Hn5+4r9P2EY+VKS177VnPTvdb8zW3g6yI8XTv3h0zZsxAWloa6uuV58x2f1P5vKk+uPhxsHhEbecbacGSe+eHDx9GXV0dli9fbu6qEGJSlNB1dOW+bpel7c9WHhm89YfqTvdbO8NLp3KIea1fvx51dXXYtWuX0rrg8Ah46THQSR5XPf2B/XphWG/dPsMdWXIyb2lpwYYNGxAXF4dRo0aZuzqEmBQldB388zf9rqH96IdK9vEH31equf1GO0v+wiSq9erVC/v374eLi4vK9QGLX0LApr/rFZvrG7PMHumOVZP0Gz5j6Z/Nu3fvYu7cudiyRbs72BFiS2hQnA5+ua7fSOMSkVSr8+4BPnZ4I9ZTrzKI+c2cOVPjeq9u3eC1/wByF8SrPB/e0eOxcfCePp2r6ino6uuJ7QuBxBRRpz8wAeDp3q6IG2n504cGBgYiOTnZ3NUgxCwooVsIS+/5EO7Ij1TPW/YKO9kIADh264YBevbk9SE/T/uqNBEa2uc7wWMeAqyeav6JbQgh2qGErqUzF+8DUH041RD2fODDeErmj6rwTz41dxVYG2cb/3PYcXpWQgh3KKFrKbPQFaruV22Ij+Z3gZ2AZm4ihBBiOEroWqpt5C6Zq7slJSGEEKIvSugm9pc+Qsx8kg47EkII4RZdtmZi5282cT4HPCGEEEIJXUvuTtzeszwhRYSMXy9xGpMQQsijixK6lqKD9JtURpN/F/RAIvXWCSGEcIASupaiI41zkwcGrb31C9cosRNCCNEfDYqzEF9lAV9liWiCmUfM5aVLIWtsv7ueg58fQj/YzGkZ97/7F6fx5PlPmWq02IZ6+1A5GsXtV6f4uvPxzjRu75Fw/CL3R+7a0DX7RFeU0HUwqr8QZ/P1m/5VWwkpIsyNFGHIoH5GLYeYj6apX8UPHyI3fj4AwH3sWATHLzBhzayfpqlsy2pk7IDU4QNc8MIwJ9NVjBAToEPuOpg23DS/mA/m+mD9v+j2qdZEJpMhIiICEydOVLtN+f37rclai3ncAaDm1Ck2uVu6W7duwc7ODp988gnnsbVp2wellUjQcl56ALhwrd5qrjYxZtsS20IJXUfh/mKTlFNWLTNJOYQbqampyMvLU3tjkKI9n6Fk1dt6xbaGpN67d2/MmTMHycnJqKmp4TR2Z2178GwNNv0o1Su2NSR1Y7YtsS2U0HW06P+MMziuI5pJznpIpVKsXbsW0dHRGDp0qNL6W5cuofLcOY0xIvcfYP9UsYakvmLFCpSVlWHHjh2cxeysbfPy7yD7tuYf2dsX+rB/qlhDUjdG23JFUlODuwe/xNU338ClRS/iyqt/ReHOj9FYUmJw7NpGGb69UIe131Tgjf0irP6qHCmna3CvokXvmIGBgeDxeBr/MjMzDa67OVBC14OxB669M9nZqPEJt44dO4aSkhLMmzdP5frarZrvze2+/A2tylGV1EePHo3AwECt9je2sLAwREREYO/evZDJNB9h0rbenbXtvgvuGvdfNFy7QWuqkrq1tq0pSaqqcHNtMsrS0yEWicC0tKClthZV2dm4se5vqL1+Xe/Y1Q0ybDlahbP5Taiok0EqA+qaGFwqEmPr0Src+p+Ew1eiyM3NzWixjYkSup6MldQnDaiHbxdK6NYkNTUVPB4P06ZNU1qnTc+6ppOE38b3ucm6Vs3kZsyYgZKSEmRkZHAST1PbatOz3ndBu3Evzwxy1LlupmZo25bo0WPOjZ+v8TN8N+0QxKLW98F3/P9h4K5PELD0FYDHAyMWo2TvHjBS1adDElJEGt/D7/5Th4q61h8v0QOE2DDbC/Oj3cDjARIpcOiXWkhlut9jo6ioCAzDKPydOHGCXT9o0CBERUXpHNcSUEI3ANdJff1Md4wbFsBpTGJcDMMgMzMT/fr1g6enp95xWr8449V+eUbuP4AeUy33ErE2I0aMAACcOnXK4FhctW1CigiJX6hPHtsX+iA20vJ7ZIa0bVZWFvr3749NmzZxVp+W+npU5eQAAHj29vB//nnYubrCa8QIuPZtvUpHLBKh5vffdY7d0CzD5aLWUyn2AiA2ygUujnxEBTki2M8eAFBRJ8ON+9z00rdsaf9R/eabb3IS0xwooRto+0If9O5q+NV/2xf6wNXZgYMaEVPKz89HRUUFnnjiCaV1mTqPSlbubfCdnNSeV7dEgwcPBgCcP3/e4Fia2vbzf2XrFItRMXOz0J5nVfM+GNK2oaGhiIqKwqpVq7Bx40ZO6tNYXAz82ft29OsKvkP795dTzx7s44bbt3WOfbe8BW2dbx93Aezt2t9A/y7tt5wuKjM8oV+9ehUnT54EAPTo0QMzZ840OKa50HXoHHgtxhMA8O7hctToeJvVbQu8weNxO088MZ27d+8CAPz8/JTWeWRdMCi2NSXyNm5ubhAKhWy7GEJT216p7mVQbGtK5G0MaVtXV1ccP34cEydORFJSEhiGQVJSkkH1kVRXs48FzoqnCflO7df4S2qqoavapvbvUWcHxe9HodxzLm5rvWXLFjB/Xkr6+uuvw97e3uCY5mJVCV0ikUAiMd5ACHVlyv+ryXvTWgfoiMVifHSsGeV1qgevrIqRwtu7dcaqlhb1ozV1KZtL5irXUsrWRXl5OQCgS5cu3FWEx0Nk6n4Vi9X/8FO1rrCw0CyDury8vCAStR/e1rfexmhbHlRfQWKtbQu0jtouLi7WKc7q1asRGRmJmJgYdlltfj5ubVLde+94KmjAhx912IJR+5QHHgoeiLHzJ9WX3HU8FfLedMX3WyllK8Q2TGlpKQ4dOgSg9QfTkiVLDIxoXlaV0E+ePAlnZ/MMGEtPT9dp+wgHAGpmmczKMm7ZXDFXuXcaeuCz7/NNXq4+Cd3pz55IY2MjJ3UIXv0O3Pv0UbluzZo1SstSU1NRVVWFxMREpXWGnHc2RGNjo8L/U33rzXXbvj7BBcHdVM8OZ61tCwDTp09XSvLq5OXlITc3F97e3ggKCjKoLvYeHuxjaUODwjqp3HTGdh6ar0RQxU3YnqobmxVTeqOk/bmbgXfB3LlzJ5qbmwEAixcvhofca7JGVpXQx48fD3d33T8chpBIJEhPT8e4ceNMfijGXGWb+zV/9n0+goOCwBcIOt+BQ40NuicOX19fAEBFBTcz+91e/z4A1YfbVU2skpmZiaKiIrWTrpiaTCZDdXU1QkND2WX61pvrtt3xUz2AepWH2621bQHgww8/1Gr/c+fOISYmBj4+PsjIyEDfvn0V1rv176/0uWvrmav6PNq5uIAnEICRStH88CFkYjF7Hr1J7rSAc1AwunVzUGr3tp65qvfD2ZEHAR+QygBRrRSSFoY9j/6gsv2oZoCv/t9PTU1N2L17NwBAIBAgISFB71iWwqoSur29vdnObzyKZZvzNfMFAgj4ph2zyRfoXl5oaCj4fD4KCgo4rUtu/HwEbdsODy4P5ZtAQUEBZDIZBg4caHAsY7VtQooIyVPs0cXTunpjhrRtTk4OJkyYAKFQiIyMDISHhxtcH4GzMzwGD0FV1gUwEgnuf/MNuk6ejNorV1B34wYAwMHHB+5hYTrHdnLgIyLAARcLxZBIgR/+W48Jg5xx/Z4Etx+2JnQvVz76+uv//XTgwAGUlZUBaD3KERBg/VcYWVVCJ8TSeHp6Ijw8HDk5OWAYRuF8a/Ww4QYNjLuT2NpjsKbBcVl/nk+Kjo42OJamth3oUWjQwLjk7yQArOvuhoa0bUhICKKjo7Fx40ZOfmy16TF7Nhpu34JYJELZyRMoO9l+PTfPwQGPv7QEPD2PtE0e6oqisipU1Mlw5loTzlxrvzGWvQCYM9INAr5+h9wZhsHWrVvZ52+99ZZecSwNXbZGiIEmT56M6upqZGcrXko1etkyTuLnxs+HuMm4d/njSnp6OgQCASZNmsRJPHVtu3jqEE7iJ6SI0NRs+gGY+jCkbT08PHD06FFOkzkA2Ht6os+aZPg88wwcfHzAEwhg5+YGz8FD0Pfd9+DWT/+7Rno48/HGJE+M7C+ElysfAj7g4shDRIADlk/yRO+u+vfOjx07hut/zmI3atQo9pJAa0c9dEIMtHjxYqxbtw4HDx5UOd84F66+vETt6HdL0dDQgCNHjiA2Nhb+/tzc88AUbbsyrfWyKkvurRujbbWhzdEhe3d39Jw3H5in2/0GtGlvNyc+pg93xfThOoXu1LPPPsteqmZLqIdOiIG6d++OGTNmIC0tDfX19QrrOD1cruILqG3gliU4fPgw6urqsHz58k631bbemtrW2AnYWtuWPLoooRPCgfXr16Ourg67du1SWufO0VSSlnwuvaWlBRs2bEBcXBxGjRrFaWxNbbt4RC0nZVhy79yYbUtsCyV0QjjQq1cv7N+/Hy4uLkrrgsMj4DVypEHxLTmZA62zus2dO1dhTmyuaGrbgf16YVhvw6ZMtuRkDhi3bYltoXPohHBE0xzQAYtfgtuzk1D89kqd41p6MgdaZysz5vXamtp29kh3jO1XhY1Hdb9HtqUnc8D4bUtsB/XQCTERr27dWpOzlnP3Px4bZxXJ3BJ09fXE9oU+Wk8F+nRvV6tI5oTognrohJiY/Ej1vGWvQCo32MuxWzcM2PR3c1TLJsjP074qTYSG5vZ1j3kIsHqqdU3UQ4guKKETYkbhn3xq9DL8p1j+fdSNYeNs4/fAY55wNXoZhGiLDrkTQgghNoASOiGEEGIDKKETQgghNoASOiGEEGIDKKETQgghNoASOiGEEGIDKKETQgghNoCuQyfEjC4vXQpZYwP73MHPD6EfbOa0jOMX6ziNJ8+Sr8N++1A5GsXtd6jzdefjnWlenJZx/7t/cRpP3qM6fwDRHyV0Qkwsd0G8yluhAoD44UPkxrfeV9p97FgExy8wYc2sX2KKCOrucl1WI0NCiggAMHyAC14Y5mS6ihFiAnTInRAOyGQyREREYOLEiWq3Kb9/vzVZq0nmHdWcOsUmd0t369Yt2NnZ4ZNPPuE8tjZt+6C0EgkaknlHF67Vs8nd0hmzbYltoYROCAdSU1ORl5en9q5YRXs+Q8mqt/WKbQ1JvXfv3pgzZw6Sk5NRU1PDaezO2vbg2Rps+lGqV2xrSOrGbFtiWyihE2IgqVSKtWvXIjo6GkOHDlVaf+vSJVSeO6cxRuT+A+yfKtaQ1FesWIGysjLs2LGDs5idtW1e/h1k3xZrjLF9oQ/7p4o1JHVjtC1XJDU1uHvwS1x98w1cWvQirrz6VxTu/BiNJSUGx65tlOHbC3VY+00F3tgvwuqvypFyugb3KnS/VW6bwMBA8Hg8jX+ZmZkG190cKKETYqBjx46hpKQE8+bNU7m+dusWjfu7L39Dq3JUJfXRo0cjMDBQq/2NLSwsDBEREdi7dy9kMpnGbbWtd2dtu++Cu8b9Fw3XbkCgqqRurW1rSpKqKtxcm4yy9HSIRSIwLS1oqa1FVXY2bqz7G2qvX9c7dnWDDFuOVuFsfhMq6mSQyoC6JgaXisTYerQKt/4n4fCVKHJzczNabGOihE6IgVJTU8Hj8TBt2jSlddr0rGs6SfhtfJ+brGvVTG7GjBkoKSlBRkYGJ/E0ta02Pet9F7Qbhf/MIEed62ZqhrZtiR495tz4+Ro/w3fTDkEsan0ffMf/Hwbu+gQBS18BeDwwYjFK9u4BI1V9OiQhRaTxPfzuP3WoqGv98RI9QIgNs70wP9oNPB4gkQKHfqmFVKbtqIl2RUVFYBhG4e/EiRPs+kGDBiEqKkrnuJaAEjohBmAYBpmZmejXrx88PT31jtP6xRmv9sszcv8B9Jhq+ZcxjRgxAgBw6tQpg2Nx1bYJKSIkfqE+eWxf6IPYSMvvkRnStllZWejfvz82bdrEWX1a6utRlZMDAODZ28P/+edh5+oKrxEj4Nq3HwBALBKh5vffdY7d0CzD5aLWUyn2AiA2ygUujnxEBTki2M8eAFBRJ8ON+9z00rdsaf9R/eabb3IS0xwooRNigPz8fFRUVOCJJ55QWpep86hk5d4G38lJ7Xl1SzR48GAAwPnz5w2OpaltP/9Xtk6xGJ7yMqE9T+15dUtkSNuGhoYiKioKq1atwsaNGzmpT2NxMfBn79vRryv4Dg7sOqeePdjHDbdv6xz7bnkL2jrfPu4C2Nu1v4H+XQTs46IywxP61atXcfLkSQBAjx49MHPmTINjmgtdh06IAe7evQsA8PPzU1rnkXXBoNjWlMjbuLm5QSgUsu1iCE1te6W6l0GxrSmRtzGkbV1dXXH8+HFMnDgRSUlJYBgGSUlJBtVHUl3NPhY4Oyus4zu1X+MvqamGrmqb2n/cOjso/hoTyj2vbdT9kHtHW7ZsAfPnpaSvv/467O3tDY5pLlaV0CUSCSQS4w2EUFem/L+PQtmW8Jplas67GZNMqvtgo/LycgBAly5duKsIj4fI1P0qFqvoZmpYV1hYaJZBXV5eXhCJ2g9v61tvY7QtD8A2FcncWtsWaB21XVxcrFOc1atXIzIyEjExMeyy2vx83Nqkuvfe8VTQgA8/6rAFo/YpDzwUPBBj50+qL7nreCrkvemK77dSylaIbZjS0lIcOnQIQOsPpiVLlhgY0bysKqGfPHkSzh1+CZpKenq6Wco1Z9nmKjfIGWD+dxfapvSWlhY8/nM67BoaVK7//eln4O7h0XkcNftr4vRnT6SxsVHnfVUJXv0O3Pv0UbluzZo1SstSU1NRVVWFxMREpXWGnHc2RGNjo8L/U33rzXXbvj7BBcHdVM8OZ61tCwDTp09XSvLq5OXlITc3F97e3ggKCjKoLvZy/6ekHf7vSOWmM7bz0HwlgipuwvZU3dismNIbJe3P3ZwMS+k7d+5Ec3MzAGDx4sXw0OJ7wpJZVUIfP3483N11/3AYQiKRID09HePGjTP5oRhzlW0trzl/+XJIazufaCMs42f2cejez9X2xtp6hLrw9fUFAFRUVOi8ryq3178PQPXhdlUTq2RmZqKoqEjtpCumJpPJUF1djdDQUHaZvvXmum13/FQPoF7l4XZrbVsA+PDDD7Xa/9y5c4iJiYGPjw8yMjLQt29fhfVu/fsrfe7aeuaqPo92Li7gCQRgpFI0P3wImVjMnkdvkjst4BwUjG7dHJTava1nrur9cHbkQcAHpDJAVCuFpIVhz6M/qGy/Bj3AV//vp6amJuzevRsAIBAIkJCQoHcsS2FVCd3e3t5s5zcexbIt9TXfXLcO9bcK9Ip79aXFAFR/QenzWkNDQ8Hn81FQoF991MmNn4+gbdvhweWhfBMoKCiATCbDwIEDDY5lrLZNSBEheYo9unhaV2/MkLbNycnBhAkTIBQKkZGRgfDwcIPrI3B2hsfgIajKugBGIsH9b75B18mTUXvlCupu3AAAOPj4wD0sTOfYTg58RAQ44GKhGBIp8MN/6zFhkDOu35Pg9sPWhO7lykdff/2/nw4cOICysjIArUc5AgIC9I5lKWiUO7EqufHz9U7mHeM0cTCNpqenJ8LDw5GTk8MOrGlTPWy4QbHvJCZYxQxx8rKysgAA0dHRBsfS1LYDPQoNip38ncQqZoiTZ0jbhoSEIDo6GqdOneIkmbfpMXs2HHxae9hlJ0/gyrJXUPTpJwDDgOfggMdfWgKeQNBJFNUmD3WFl2trijpzrQmr0iqw/0wtGKb1UrY5I90g4Ot3yJ1hGGzdupV9/tZbb+kVx9JQQidWg+vklv/aq7h+7JjBcSZPnozq6mpkZyteSjV62TKDYwOtr1vc1MRJLGNLT0+HQCDApEmTOImnrm0XTx3CSfyEFBGamk0/+FMfhrSth4cHjh49ysmRE3n2np7osyYZPs88AwcfH/AEAti5ucFz8BD0ffc9uPXrp3dsD2c+3pjkiZH9hfBy5UPAB1wceYgIcMDySZ7o3VX/3vmxY8dw/c9Z7EaNGsVeEmjtrOqQO3l06ZLM5Q+nMwyDSwvi1W7b+I/DqI2KgpuKS6O0tXjxYqxbtw4HDx5UOd84F66+vETt6HdL0dDQgCNHjiA2Nhb+/v6cxDRF265Ma72sypIvZTNG22pDm0sn7d3d0XPefGCebj+4tWlvNyc+pg93xXTDDnYpefbZZ5WO+tgC6qETi6dLMvccovhLm8fjAXaaf7fe+n8r9KpXm+7du2PGjBlIS0tDfX29wjpOryVX8QXUNnDLEhw+fBh1dXVYvnx5p9tqW29NbWvsBGytbUseXZTQiUW7+rFud5cSD/+L0rI+q9/pdL/flyfqVE5H69evR11dHXbt2qW0zp2jqSQteaKZlpYWbNiwAXFxcRg1ahSnsTW17eIRtZyUYcm9c2O2LbEtlNCJRRP/OVe0thpU/AC4+be1ne4XtnWbTuV01KtXL+zfvx8uLi5K64LDI+A1cqRB8S05mQOts7rNnTtXYU5srmhq24H9emFYbwcVe2nPkpM5YNy2JbaFzqETi/XHl/olsRtrk9F3TTIA4Po776g8VC2Pq2SpaQ7ogMUvwe3ZSSh+e6XOcS09mQOts5UZ83ptTW07e6Q7xvarwsajut8j29KTOWD8tiW2g3roxGKJfv65841UaLhzh73tY+Mf6m8Z6dSrl0mTpVe3bq3laZhmVN7jsXFWkcwtQVdfT2xf6KP1VKBP93a1imROiC6oh04eSeZMlPIj1fOWvQKp3GAvx27dMGDT381RLZsgP0/7qjQRGprb1z3mIcDqqdY1UQ8huqCETizSbT17552ys0Pkvi+ME1sP4Z98avQyYp5wNXoZlmjjbOP3wP2nWP496smjgxI6sUgSDiZ86Sh83xcQdHIJGyGEWCv6diMWqUWPeyirZeETshBCCBcooROb5jN6DHouXGjuahBCiNHRKHdi00SZp63uBieEEKIPSujEIgk8uL21ZW78fOScPMlpTEIIsSSU0IlFcoyZyHlMwaGDyNVwoxZCCLFmlNCJRQp65hnjBGYY5MbPR8mvvxonPiGEmAkldPJIKt+7h86tE0JsCiV0YrF8x403ehm58fNx9T9ZRi+HEEKMjRI6sVg95s41STniXbtwbaXuN00hhBBLQgmdWDSHIUNNUk7zw/+ZpBxCCDEWSujEooW++qpJyqGZ5Agh1o4SOrF4xr4zWu8PNhs1PiGEmAIldGIVjJXUnWbOgpufn1FiE0KIKVFCJ1aD66Q+YNcu9JvI/QQ2hBBiDpTQiVWJ3H8Arv36cRLH0dWNgxoRQohloLutEasTsioJAHDl9VfRUl2j076DUveDx+MZo1qEEGJWVpHQGYYBANTU6PblzQWJRIKGhgbU1NTA3t7+kSjbWl5zwPsbAABisRgPNm5Ai0ikcrsuyWvh5e0NAKitrVUbr21d2+eNEEKsCY+xgm+vu3fvomfPnuauBnlE/PHHH+jRo4e5q0EIITqxioQuk8lw//59uLm50eFSYjQMw6C2thb+/v7g82l4CSHEulhFQieEEEKIZtQNIYQQQmwAJXRCCCHEBlBCJ4QQQmwAJXRCCCHEBlBCJ4QQQmwAJXRCCCHEBlBCJ4QQQmwAJXRCCCHEBlBCJ4QQQmwAJXRCCCHEBlBCJ4QQQmwAJXRCCCHEBlBCJ4QQQmwAJXRCCCHEBlBCJ4QQQmwAJXRCCCHEBlBCJ4QQQmwAJXRCCCHEBlBCJ4QQQmzA/wcYkeCFlEC5gAAAAABJRU5ErkJggg==" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 0, 2 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 1 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 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>"}
[ 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>"}
[ 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>"}
[ 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>"}
[ 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>"}
[ 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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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 3 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 1 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the 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>"}
[ 1 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 0, 2 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 0, 2 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 1 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 0, 2 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 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>"}
[ 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>"}
[ 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>"}
[ 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, 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>"}
[ 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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W2N5Cvrxp06YxpaWlzJkzZ9jgLhQKGZlMxu4vP12ytXHjxrH1uXbtGiMWi5lbt24xhw4dYhITE43UisQYSkpKFN4bf/31l8b9Fy5cyO47atQo5vbt28ydO3eY559/nt2+cOFCdn99AzoA5t1332XKy8uZAwcOKHxhkKcuf4Yx7H/k2WefZa5du8bU1tYyly5d0q1R5eun95GEEIukbUCvra1le0thYWEMwzBMdnY2u9+rr77K5tmxY0eNeQJgxo4dy+7fso3P5zPl5eXs9sjISDbt3r177HZNAX3RokUMAIbH4zHTp09nPv/8c+bgwYPM/fv3uW46YmT3799XeM+cO3dO4/7y77sLFy6w23NyctjtnTp1YrfrG9B9fX3Zu04yDMN4e3szABhHR0eFfDQFdH3/RwAwxcXFbTWdVoyy9CvXZDIZ7t69Czc3N7o7FTEahmFQXV0Nf39/zufwm0tsbKzateKdnZ0xY8YMbN26Fbm5ubhw4QK+/fZbNv21115jH8uvaa+OSCRS2ta+fXuFNfDlpyE1NDRo8xSQkJCA/Px8HD58GHv37mVXleTz+Zg6dSq+/fZbpWWIiWXy8fGBu7s7e+370qVLiIiIULu//PtO/kZS8tetVb03mVYzJZqamjTWq3v37uxdJ4Hm92lZWZlONwnT93/E19cXnTt31rocTawioN+9e5ezJ0xIW27duoVOnTqZuxomsWDBAmzduhUAkJycjO+++w4A0K9fP0RGRrL7+fn54c6dO+DxeLhz5w46dOiglFfrD1FAu5v/aNoONM/5PXjwICoqKnDx4kUUFBRg7969OHLkCL777jvExMRg2rRpbT9ZYnZ8Ph/jxo3Dnj17ADQPdnz55ZdVfiFrampi33dA80C0lns9yE8Z8/PzYx87OjqisbFRYaS4TCbDzZs3NdZL2/epJvr+j6i7uZM+rCKgu7m5AQAKCgrYx6YikUhw/PhxPPvss3qtPmeNZT+OzxlovoVujx49TP4eM6e+ffuif//+yM7OxubNm9mezIIFCxT2mzBhAjZt2gSGYRAbG4sNGzagW7duKCsrw59//omvv/4a06dPx+zZs/Wqh7e3N/shff78eYX5xzt27ADQfH/5vn37IjIyEoWFhThy5AgAoLi4WK8yiXkkJCTg559/Rk1NDXJzczF+/HgsX74cvXv3Rk1NDf7880988cUXWLduHWJiYtgvnO+//z527twJHo+H999/n80vJiaGfRwYGIirV69CJBLh7NmzGDRoENavX6/VLbu14e3tjbKyMohEIty5c0fh/iHG/h/RCicn7o2ssrKSAcBUVlaavGyxWMwcOHCAEYvFj03Zj+NzZhiGEYlEZnufcamta+iA4j0Ctm/frpDm6urKVFVVKeRZVlbGhISEaMxT/v4LLdu0uZbJMAzz1ltvKeXXMtp33rx5asu0s7NjcnJyuG1AYnTHjh1jfHx8NL6fcnJymJKSEqZ79+5q9+nevTtTWlrK5rtixQo2jcfjMa6urgzQPJK89ftO/hp665Hl6sZ0tAzQlP9pGZPC1f+IIWzjQiEhRG8vv/yywlmJadOmKZ2l8PLyQmZmJpYvX46IiAi4uLiw920YOXIkPv/8c4PuS5CYmIgZM2bAz89P6XTnxIkTMWXKFAQFBcHNzQ0CgQA+Pj6Ijo7G77//bnGriZG2Pfvss8jLy8Py5csxaNAgeHp6wt7eHh07dsSzzz6LDRs2oHv37vD19UVWVhbi4+PRu3dvCIVCODo6olevXli6dCmysrLg4+PD5rtkyRLEx8cjICAADg4O6NmzJw4cOIABAwZwUu8vv/wS48aNg7e3t1Kasf9HtGEVS79WVVXBw8MDlZWVcHd3N2nZEokEhw4dwpgxY8xy+tkcZT+OzxloXlvax8fHLO8zQggxFPXQCSGEEBtAAZ0QQgixARTQCSGEEBtAAZ0QQgixARTQCSGEEBtAAZ0QQgixARTQCSGEEBtAAZ0QQgixARTQCSGEEBtAAZ0QQgixARTQCSGEEBtAAZ0QQgixARTQCSGEEBtAAZ0QQgixAXbmrgAhj7MLr78OWX0d+7eDnx9CPltjlrp8sKcM9eJHd1P2defjw0lenJZx96cfOc1Pnv+EiUbLmxBrQAGdEBPLmRMLMIzKNPH9+8iJnQ0AcB8xAkGxc4xal0XJIqiuCVBaJUNcsggAMLi3C14e5GTUuhBCDEOn3AkxkbK7d5uDtZpg3lrVsWNscOfavZIHiNMQzFs7e7mWDe6EEMtEAZ0QDshkMoSHh2PMmDEq0wu3f4XipR/olTfXQX33ySqs/lWq17GWHtSvX78OOzs7bNmyxdxVIcTk6JQ7IRxISUlBbm4uduzYoZR2/fx5VJ86pfH4iNRd7GNVATwndrbCPvrKzbuJrBvuGvfZMNeHfawqgMclixT2sSTdunXDjBkzkJiYiJkzZ8LdXfNzNaXK8+dRkZ2FuoICSCoqIGtshH27dnDu0hXtx42DU+fOeudd0yDD0Qt1KCptwp3yJkgefl8b2M0RM4a6cfQMbMvly5fx2Wef4dixY7h//z6cnZ0REBCAF198EUlJSeaunl6oh06IgaRSKZKSkhAVFYWBAwcqpVevX6fxePfF72hVjqpAP3z4cAQGBmp1PADsPKs5wM0bXKNVPqoCva51MZYlS5agtLQUGzduNHdVFJT+nobyP/5Aw+3bkNbUgJFIIC4pQUXmWVxJ+BiVFy7onXdFrQwnLjegsPRRMCfq/fjjj+jXrx9SU1Nx69YtiMViVFRU4MKFC9izZ4+5q6c3CuiEGOjQoUMoLi7GrFmzlNK0OV1e1UbAb+H74nhdq6ZAm9PlO8+6apXX830dDaqLMYWGhiI8PBw7duyATCbTO5/i4mKd9s+Jna3x9eYJBPAaNgzdP/wI4Tu+Rq9PP4NrcHBzolSKe//ar/bYuGSRxtfPyYGHqN5CzBrmilFhNHhRk4KCAsyaNQuNjY3w8PBASkoKSkpKUFVVhaysLCxevNjcVdQbnXInxEApKSng8XiYNGmS3nk0BwIeoGaYGhen27UVlywCjwEYnup0Sz3dLm/KlClYtmwZ0tPTMXLkSJ2Pz8zMxIgRI/DRRx/hgw/0G/vQWuDrb0Dg9CjYCtu3h/+0l3EtKREA0HDvnt55e7sJMHFQ85exP6/UG1RPW7dhwwbU1TVPFV27di1iY2PZtP79+6N///7mqprBqIdOiAEYhkFGRgZ69uwJT09PhbQMnQdmKQdzvpMTJ8H86x+zdKuJimAutOdZRTAHgCFDhgAAjh07ptfxISEhiIyMxNKlS7Fq1SpO6iQfzFvIxGL2sYMXt3P+iWppaWns4+vXr6N3794QCoXo2LEjFi5ciPLycjPWzjDUQyfEAHl5eSgvL0d0dLRSmkfmWYPy5rJXfrGyi0HHW0sgb9HSyzp9+rRex7u6uuLw4cMYM2YM4uPjwTAM4uPjuawiZBIJ7u3/nv3b53ndzyQQ3RUWFrKPP/30U/bx3bt3sXXrVpw4cQJZWVlwdnY2Q+0MQwGdEAPcvn0bAODn58ddpjweIlJSVWxWcw5cTVpBQYHBg9R4AL5QEczNURdduLm5QSgUsq+PvMDAQBQVFemU37JlyxAREcF+cavOy8P11ap77q2vo/de+zkcfX0Vtknr63Fz4wbUXr8OAGj31NPwfXhpIP+eGJt+q1KZd+vr6B9PbgdvN4FOz+VxJ5FI2Md9+/bFL7/8AgAYO3YsLly4gMuXL+Obb77Bm2++aa4q6s2qArpEIlF4MUxVpvzvx6Hsx/E561tmWVkZAKBdu3ac1CFo2Ydw79FDZVpCQoLStpSUFFRUVGDRokVKaa0vAejq7dEuCOqgeoCVqeuiDy8vL4hEygPJJk+erHK7Krm5ucjJyYG3tze6du3KSb0kDx7g+udr0XDrFgDA59kR6DR7tsYvSYQ7vr6+uHv3LgBgzpw56NSpEwBg7ty57Hv3r7/+Mlf1DGJVAf3o0aNmOw0if93lcSnbXOXerOuEr37OM3m5+gR0p4fXRevruRmIdGPFJwBUn25PTExU2paRkYHCwkKVaYba+FstgFqVp9tNXRd91NfXq/y8WLt2rVbHnzp1CtHR0fDx8UF6ejqCW0akA3Dr1UvpNWrpmWu6VFJ/+zZufL4WkvJygMdDh0mT0X7cOIV9undwUGrzlp65tV36sEQDBgzAzz//rLSdkVvB0RpPtwNWFtBHjRpl8oUiJBIJ0tLSMHLkSNjb2z8WZZv7OX/1cx6CunYFX2DaU4n1dboHZd+Hp1K5HkiTEzsbXb/YAA+Oev6GiEsWIXGCPdp5epi7KlqTyWSorKxESEiIXsdnZ2dj9OjREAqFSE9PR1hYmMF1qr5yBQUbvoC0rg48Ozs8Of9VeD0cvGcoGcOgrrE5IImbHgWmJimDmobmqXtCex7sBHQW4JVXXmEDekpKCjs7JTX10WWuUaNGmaVuhrKqgG5vb2/yAPM4l23O58wXCCDgm3YSBl+ge3khISHg8/nIz89XSqscNNiggXE3F8UB4GZwXB+PAoMGxiX+JAFguSvEtZafnw+ZTIY+ffrodXz37t0RFRWFVatW6Z1Ha//96UdIH06XYpqaULRtK4q2bVXYR9X1dm08qJHh//71QGn7uQIxzhU0f9mc/owrBnUX6lFz2xITE4PY2Fikpqbi/Pnz6Nxqhb4JEyYgJibGTLUzDE1bI8QAnp6eCAsLQ3Z2tsIpOwAYvnAhJ2XkxM6GuKHBoDzmTxzASV3ikkVoaDT9+AZdZWZmAgCioqL0Ot7DwwMHDx7kLJgTy/LNN99gy5Yt6NevH5ycnODk5ISIiAhs2LAB+/fvt9rxDFbVQyfEEo0fPx6JiYnIyspSufQrFy69tkDt6HdTe39vJQDLvp6blpYGgUCAsWPHmqzMts6kdF+q/7S3ttra201g0a+HpeHz+XjjjTfwxhtvmLsqnKIeOiEGmj9/PgQCAXbv3q2UxukKbypuu9oyEE0bxv7A16UuxlRXV4cDBw5g3Lhx8Pf3N3d1CDEZCuiEGKhjx46YMmUK9u7di9raWqV093ff5aQcLr4czB9SzUFNLLt3vm/fPtTU1Fj1mtyE6IMCOiEcWLFiBWpqarB582altKCwcHgNHWpQ/lz19Pv07IJB3RwMysOSg3lTUxNWrlyJmJgYDBs2zNzVIcSkKKATwoEuXbogNTUVLi4uKtMD5r+KgNWfqkxrC9c3Zpk+1B1Lx+o3fMaSgznQvHLfzJkzsW6ddnewI8SW0KA4QjgydepUjeleHTrAK3UXcubEqrwe3tqT42LgPXkyV9VT0N7XExvmAouSRWru76bouW6uiBlq+VOeAgMDLWZhG0JMjQI6ISYmP1I9d+EbkMpdd3fs0AG99ezJ60N+nfale0Woa3yU9oSHAMsmmn9hG0KIdiigE2JGYVu2tr2TiayabvzT6f4TJhq9DEIeV3QNnRBCCLEBFNAJIYQQG0ABnRBCCLEBFNAJIYQQG0ABnRBCCLEBFNAJIYQQG0ABnRBCCLEBNA+dEDO68PrrkNXXsX87+Pkh5LM1ZqnLB3vKUC9+tG6crzsfH07y4rSMw+dqOM1PXnQ/V6PlTYg1oIBOiIlpWvpVfP8+cmJnAwDcR4xAUOwco9ZF09KvpVUyxCWLAACDe7vg5UFORq0LIcQwdMqdEBMpu3u3OVhrsY47AFQdO8YGd67dK3mAOC3XcQeAs5dr2eBOCLFMFNAJ4YBMJkN4eDjGjBmjMr1w+1coXvqBXnlzHdR3n6zC6l+leh1r6UH9+vXrsLOzw5YtW8xdFUJMjk65E8KBlJQU5ObmYseOHUpp18+fR/WpUxqPl79FqqoAnhM7m5PbqObm3UTWDXeN+8jfIlVVAI9LFlnsbVS7deuGGTNmIDExETNnzoS7u+bnakqSqirc/+XfqLt5E3VFRWAkEgCA1zPPIODVBQblfemWGBeKGlFc2oSqehkamxh4OvPxpI8dRoY5w9+LPupbq6mpwerVq7F//34UFRXB2dkZgwcPxtKlSzF06FBzV08v1EMnxEBSqRRJSUmIiorCwIEDldKr12u+N7f74ne0KkdVoB8+fDgCAwO1Oh4Adp7VHODmDdZu0JqqQK9rXYxlyZIlKC0txcaNG81dFQWSBw9QevQoaq9fZ4M5V07m1SMzvxH3KqSobWTQJAVE1TKcKxBjzb8rcPm2mNPyrF1tbS2GDRuGFStW4Nq1a2hsbMSDBw9w+PBhDB8+HPv27TN3FfVCAZ0QAx06dAjFxcWYNWuWUpo2p8ur2gj4LXxfHK9r1RRoc7p851ntRoo/39fRoLoYU2hoKMLDw7Fjxw7IZDK98ykuLtZp/5zY2Rpfb4GzM3xHjULA66/Db1yMTnnHJYs0vn4CPjCouyMWjfHAmlneWDaxHYL8mnvlMgY4+Fet2mMfR8uXL0dOTg4AYMqUKSgpKcHvv/8OZ2dnyGQyvPbaaygvLzdzLXVHAZ0QA6WkpIDH42HSpEl659EcDGLVBoSI1F3oNNE0tx6NSxZh0TfqA8iGuT4YF+Fmkrroa8qUKSguLkZ6erpex2dmZqJXr15YvXo1Z3Vy9PVFpxkz4TXkKTh4cTsdcPYwN0x/xg1d/OzhYMfDEx4CvDjAhU2/X6nfmAlbxDAMvvnmG/bvzz77DL6+vnjuuecwZcoUAEBVVRX++c9/mquKeqOATogBGIZBRkYGevbsCU9PT4W0DJ0HZimPOec7OXFy7fzrH7N0qwlPeZvQnmex185bGzJkCADg2LFjeh0fEhKCyMhILF26FKtWreKyakYhdFD+KJfIxfB2LvRR36KgoAClpaUAADc3NwQEBLBpffr0YR+fPXvW5HUzFI2UIMQAeXl5KC8vR3R0tFKaR6ZhHwhcBPIWFyu7GHS8tQTyFv379wcAnD59Wq/jXV1dcfjwYYwZMwbx8fFgGAbx8fFcVtGomqQMfsl+dJp9aC9aQ6DF/fv32cetv4R7eHio3M9aUEAnxAC3b98GAPj5+XGXKY+HiJRUFZtVdJs1pBUUFBg8SI0H4AsVwdwcddGFm5sbhEIh+/rICwwMRFFRkU75LVu2DBEREewXt+q8PFxfrbrn3vqySe+1n8PR11frsvLvibHptyqVaa0vg3w8uR283QQK2xrEMuw8Vo3C0iYAwIAgRwzrJdS6/McJ02pNCPm/Nb3HLZVVBXSJRAIJx6NDtSlT/vfjULYlPGeZVPtrfk0SMc7cABrUVHdgp2p4tPNuMx+ZVPcBVGVlZQCAdu3a6XysKkHLPoR7jx4q0xISEpS2paSkoKKiAosWLVJKa9370NXbo10Q1EF1z87UddGHl5cXRCLlcQCTJ09WuV2V3Nxc5OTkwNvbG127duW6ipyrrJNi29Eq3H3Q/P/zdLAQk4e4WGVwMhb5L98VFRUKaZWVlSr3sxZWFdCPHj0KZ2dns5SdlpZmlnLNWba5yu3qDDD/vY22QvofDwZAwji0md9/brsBD6ftPNvuT7Ufbk11dSq3a+Lk1Bzw6uvrdT5WlRsrPgGg+nR7YmKi0raMjAwUFhaqTDPUxt9qAdSqPN1u6rroo76+XuXnxdq1a7U6/tSpU4iOjoaPjw/S09MRHBzMprn16qX0GrX0zA29VNK9g4NSm7f0zDVd+rj3oAnb0qpQUSsDD8ALkc4YGWaez0tL1rVrVzzxxBMoKSlBTU0NioqK2OvoFy9eZPcbNGiQuaqoN6sK6KNGjTL5QhESiQRpaWkYOXIk7O3tH4uyLf05f3mkBkWl+o3aPf7gGQDA2pkeSmktvW1d+D48lcr1FJec2Nno+sUGeHDU8zdEXLIIiRPs0c5Tuc0slUwmQ2VlJUJCQvQ6Pjs7G6NHj4ZQKER6ejrCwsIMrhMjk0Fa23xdW9rY+KiukiY0VVcDAPhCIfh6/M9d/68EX6dXoV7MQMAHZgx1Q2RXy51aaG6vvPIKO4Phf//3f7F582ZcuHAB+/fvBwC4u7tj6tSp5qyiXqwqoNvb25s8wDzOZVvic+Zq6dH3dldi+VR3uDs/6uHr81xDQkLA5/ORn5+vlFY5aLBBA+NuLooDwM3guD4eBQYNjEv8SQLAcleIay0/Px8ymUxh1LIuunfvjqioKKxatUrvPFoTl5Xh8nvvKm2vyDyLiofvkyfnvwpvPVYpO5xTy94pTyoDdp2oxq4T1Qr7qLre/rj68MMPceTIEeTk5OD777/H999/z6bx+Xx89dVX8OJ4aqEp0FwGYjW4Xkf8o39WIS2z0KA8PD09ERYWhuzsbKUBNsMXLjQo7xY5sbMhbmgwKI/5EwdwUpe4ZBEaGk0/tkJXmZmZAICoqCi9jvfw8MDBgwc5C+bEsri4uODEiRNYtmwZunfvDgcHB3h6emL06NE4fvw4pk2bZu4q6sWqeujk8aVLMJfvRTIMg0Up6k+lH7zsivDudXjCS/9rjePHj0diYiKysrJULv3KhUuvLVA7+t3U3t/bPHDIknvraWlpEAgEGDt2rMnKbOtMiqOvr95nW9pq67eiPfXK93Hm5uaGTz75BJ988om5q8IZ6qETi6dLMO8boDhIjsfjwZ6v+SahK37WfTCcvPnz50MgEGD37t1KaVzOJVd129WWgWjaMHYA1qUuxlRXV4cDBw5g3Lhx8Pf3N3d1CDEZCujEon195K5O+4c/Uaq07a0XPNs8LuF7/Qe1dezYEVOmTMHevXtRW6u8Zrb7u8rXTfXBxZeD+UOq295JC5bcO9+3bx9qamqwePFic1eFEJOigE4s2sW7bU9Lk5eapTwSe/0vlSr2VJQ0xbABMCtWrEBNTQ02b96slBYUFg4vA2/HyFVPv0/PLhjUTbc2bc2Sg3lTUxNWrlyJmJgYDBs2zNzVIcSkKKATi/WvM9rdyrO1z395wD7+7OcHKlZIV8RFgOrSpQtSU1Ph4uKiMj1g/qsIWP2pXnlzetoewPSh7lg6Vr/hM5YczIHmlftmzpyJdeu0u4MdIbaEBsURi/XHFf1GdheLpFpddw/wscM74zz1KkOVtuatenXoAK/UXciZE6vyenhrT46LgffkyVxVT0F7X09smAssSha1+YUHAJ7r5oqYoZa/fGhgYKDFLGxDiKlRQCePJXP2NOVHqucufINdbAQAHDt0QG89e/L6kF+nfeleEeoerXeCJzwEWDbR/AvbEEK0QwGdWKQT5+4CUH362hD2fGBtrOWcNg7bstXcVWCtmm78donu52r0Mgh5XFFAJxYpo8AVqu4PbojPZ7eDnYBWyiKE2CYK6MQiVddzF8zV3QKUEEJsCQV0YtOe6iHE1KfpNC8hxPbRtDVi005fa+B8DXhCCLFEFNCJRXJ3Un3Pcn3FJYuQ/ud5TvMkhBBLQgGdWKSorvotKqPJv/M7YRH11gkhNooCOrFIURHGuakGg+be+tnLFNgJIbaFBsWRx9J3mcB3mSKzL2V64fXXIat/dLc3Bz8/hHy2htMy7v70I6f5yfOfMNFoeRvqgz1lqBc/mi3h687Hh5MMW7O/tcPnuD+T1ILm7BNdUUAnFmtYLyFO5um3/Ku24pJFmBkhwoC+PY1ajjxNS7+K799HTuxsAID7iBEIip1jsnrZAk1L2ZZWydgBkoN7u+DlQU6mqxghJkCn3InFmjTYND2U3Tk+WPGj/rdPBQCZTIbw8HCMGTNG7T5ld+82B2st1nEHgKpjx9jgbumuX78OOzs7bNmyhfO8tWnbeyUPEKfluvQAcPZyrdXMfjBm2xLbQgGdWLQwf7FJyimtlBl0fEpKCnJzc9XeGKRw+1coXvqBXnlbQ1Dv1q0bZsyYgcTERFRVVXGad1ttu/tkFVb/KtUrb2sI6sZsW2JbKKATizbvf4wzOK41Q1aSk0qlSEpKQlRUFAYOHKiUfv38eTw4dUpjHhGpu9gfVawhqC9ZsgSlpaXYuHEjZ3m21ba5eTeRdUPzl74Nc33YH1WsIagbo225Iqmqwu3d3+LSu+/g/LxXcPHNf6Bg05eoLy42OO/qehl+OFuDpP3leCdVhGXflSH5eBXulDfpnWdgYCB4PJ7Gn4yMDIPrbg4U0InFM/bAtQ/HOxt0/KFDh1BcXIxZs2apTK9er/ne3O6L39GqHFVBffjw4QgMDNTqeGMLDQ1FeHg4duzYAZlM8xkPbevdVtvuPOuu8fh5g7UbtKYqqFtr25qSpKIC15ISUZqWBrFIBKapCU3V1ajIysLV5f+H6itX9M67sk6GdQcrcDKvAeU1MkhlQE0Dg/OFYqw/WIHr/5Vw+EwUubm5GS1vY6KATqyCsYL62N618G1nWEBPSUkBj8fDpEmTlNK06VlXtRHwW/i+OF7XqpnclClTUFxcjPT0dE7y09S22vSsd57VbhzG830dda6bqRnatsV69JhzYmdrfA/f3rsHYlHz6+A76n/QZ/MWBLz+BsDjgRGLUbxjOxip6sshcckija/hT/+pQXlN85eXqN5CrJzuhdlRbuDxAIkU2PNHNaQy3e/5UFhYCIZhFH6OHDnCpvft2xeRkZE652sJKKATq8F1UF8x1R0jBwUYlAfDMMjIyEDPnj3h6empdz7NH5yxaj88I1J3odNEy50i1mLIkCEAgGPHjhmcF1dtG5cswqJv1AePDXN9MC7C8ntkhrRtZmYmevXqhdWrV3NWn6baWlRkZwMAePb28H/pJdi5usJryBC4BjfPGhGLRKj6+2+d865rlOFCYfOlFHsBMC7SBS6OfER2dUSQnz0AoLxGhqt3uemlr1v36Ev1u+++y0me5kABnViVDXN90K294bMtN8z1gauzg8H55OXloby8HP369VNKy9B5VLJyb4Pv5KT2urol6t+/PwDg9OnTBuelqW2//jFLp7wYFSsJC+15Zl+HQBeGtG1ISAgiIyOxdOlSrFq1ipP61BcVAQ97345+7cF3ePT/5NS5E/u47sYNnfO+XdaEls63j7sA9naPXkD/do9ugVxYanhAv3TpEo4ePQoA6NSpE6ZOnWpwnuZC89CJ1Xkr2hMA8NG+MlTpeJvVL+Z4g8fjbp3427dvAwD8/PyU0jwyzxqUtzUF8hZubm4QCoVsuxhCU9terOxiUN7WFMhbGNK2rq6uOHz4MMaMGYP4+HgwDIP4+HiD6iOprGQfC5wVL1vxnR7N8ZdUVUJX1Q2P/q+dHRT/X4Vyf3Nxm+V169aBeTiV9O2334a9vb3BeZqLVQV0iUQCicR4AyHUlSn/+3Eo21qe88eTmgdEicVifH6oEWU1qgcLLY2Wwtu7eYWwpib1o2P1eb5lZWUAgHbt2ul8rFo8HiJSUlVsVv9FRFVaQUGBWQZ1eXl5QSR6dHpb33obo215UD2jwVrbFmgetV1UVKRTPsuWLUNERASio6PZbdV5ebi+WnXvvfWloN5rP2+1B6P2Tx54yL8nxqbfVE+5a30p5OPJiq+3UshWyNswJSUl2LNnD4DmL0wLFiwwMEfzsqqAfvToUTg7GzaASV9paWla79vU1IQnf0+DXV2dyvS/n3se7h4eRimbS+YqV5+ywx0AqFnVMzNTuzzq1Lxemjg97InU19frfKwqQcs+hHuPHirTEhISlLalpKSgoqICixYtUkoz5LqzIerr6xX+T/WtN9dt+/ZoFwR1UL06nLW2LQBMnjxZKcirk5ubi5ycHHh7e6Nr164G1cVe7jNM2up/Ryq3nLGdh+aZCKq4CR+F6vpGxZBeL3n0t5uBd2XctGkTGhsbAQDz58+Hhw6fy5bIqgL6qFGj4O6u+5vDEBKJBGlpaRg5cmSbp2LyFi+GtLrthR9C039nH4fs+Fpt70CXsrlkrnLNXXZLj1AXvr6+AIDycsNWmmtxY8UnAFSfble1sEpGRgYKCwvVLrpiajKZDJWVlQgJCWG36Vtvrtt242+1AGpVnm631rYFgLVr12p1/KlTpxAdHQ0fHx+kp6cjODhYId2tVy+l911Lz1zV+9HOxQU8gQCMVIrG+/chE4vZ6+gNcpcFnLsGoUMHB6V2b+mZq3o9nB15EPABqQwQVUshaWLY6+j3Hjw6yxbgq/9nRENDA7Zt2wYAEAgEiIuL0zsvS2FVAd3e3t5s1zc0lX1t+XLUXs/XK99Lr84HoPl6qbmet6W2tzHL1FVISAj4fD7y8/V7/dXJiZ2Nrl9sgAeXp/JNID8/HzKZDH369DE4L2O1bVyyCIkT7NHO07p6Y4a0bXZ2NkaPHg2hUIj09HSEhYUZXB+BszM8+g9AReZZMBIJ7u7fj/bjx6P64kXUXL0KAHDw8YF7aKjOeTs58BEe4IBzBWJIpMAvf9VidF9nXLkjwY37zQHdy5WPYH/9PyN27dqF0tJSAM1nOQICDJvxYglolLuBcmJn6x3MW+fTQMs6Wh1PT0+EhYUhOzubHVjTonLQYIPyvrkozipWiJOX+fD6RlRUlMF5aWrbPh4FBuWd+JPEKlaIk2dI23bv3h1RUVE4duwYJ8G8Rafp0+Hg09zDLj16BBcXvoHCrVsAhgHPwQFPvroAPIGgjVxUGz/QFV6uzSHqxOUGLN1bjtQT1WCY5qlsM4a6QcDX75Q7wzBYv349+/d7772nVz6WhgK6Abj+sM17601cOXSI0zyJ8Y0fPx6VlZXIylKcSjV84UJO8s+JnQ1xg3HvOseVtLQ0CAQCjB07lpP81LXt/IkDOMk/LlmEhkbTD/7UhyFt6+HhgYMHD3Jy5kSevacneiQkwuf55+Hg4wOeQAA7Nzd49h+A4I8+hltP/e9i6OHMxztjPTG0lxBernwI+ICLIw/hAQ5YPNYT3drr3zs/dOgQrjxcxW7YsGHslEBrZ1Wn3C2JLsFc/nQ6wzA4PydW7b71/9yH6shIuKmYqkMs0/z587F8+XLs3r1b5XrjXLj02gK1o98tRV1dHQ4cOIBx48bB35+bNfhN0bbv722eVmXJU9mM0bba0GbqpL27OzrPmg3M0q2Do017uznxMXmwKyYbdrJLyQsvvKB01scWUA9dD7oEc88Bit/8eDweYKf5e9T1/12iV72IeXTs2BFTpkzB3r17UVtbq5DG6VxyFR9ALQO3LMG+fftQU1ODxYsXt7mvtvXW1LbGDsDW2rbk8UUBXUeXvtTtbkfiwU8pbeux7MM2j/t78SKdyiHmtWLFCtTU1GDz5s1Kae4cLSVpyQvNNDU1YeXKlYiJicGwYcM4zVtT284fUs1JGZbcOzdm2xLbQgFdR+KHaxdrq07FF4Br/5fU5nGh67/QqRxiXl26dEFqaipcXFyU0oLCwuE1dKhB+VtyMAeaV3WbOXOmwprYXNHUtn16dsGgboYt4WvJwRwwbtsS20LX0HVw61v9PlSvJiUiOCERAHDlww9VnjqVZ+kf3kQ1TWtAB8x/FW4vjEXRB+/rnK81vB8CAwONOl9bU9tOH+qOET0rsOqg7vfItvRgDhi/bYntoB66DkS//972TirU3bzJ3oaw/pb6Wxg6deliFR/eRD9eHTo0v75ariX/5LgYej9oqb2vJzbM9dF6KdDnurlaRTAnRBfUQ7cQ9MH9+JAfqZ678A1I5QZ7OXbogN6rPzVHtWyC/DrtS/eKUNf4KO0JDwGWTbSuhXoI0QUFdC3d0LN33iY7O0Ts/MY4eROLF7Zlq9HL8J9g+fdRN4ZV043fA4/u52r0MgjRFgV0LUmMsOBL2M5vIGhjChshhBCiDYomWmrS456+aln4AiGEEEKsDwV0E/MZ/iw6z51r7moQQgixMTTK3cREGcet7oYbhBBCLB8FdC0JOL7xfU7sbGQfPcppnoQQQh5fFNC15Bg9hvM8BXt2I0fDjVoIIYQQbVFA11LX5583TsYMg5zY2Sj+80/j5E8IIeSxQIPiLETZju0o27GdFph5zFx4/XXI6uvYvx38/BDy2RpOyzh8robT/ORZ8jzsD/aUoV78aJllX3c+PpzkxWkZd3/6kdP85D2u6wcQ/VFA14HvyFEoTTPude+c2Nlw+Mc/EDJwkFHLIeaTMydW7Xr+4vv32UGT7iNGICh2jglrZv0WJYug7k4JpVUyxCWLAACDe7vg5UFOpqsYISZAp9x10GnmTJOUI968GZff1/0mHsR8ZDIZwsPDMWaM+rEWZXfvNgfrNm7O06Lq2DGrmRFx/fp12NnZYcuWLZznrU3b3it5gDgNwby1s5dr2eBu6YzZtsS2UEDXkcOAgSYpp/H+f01SDuFGSkoKcnNz1d4Vq3D7Vyhe+oFeeVtDUO/WrRtmzJiBxMREVFVVcZp3W227+2QVVv8q1StvawjqxmxbYlsooOso5M03TVIOrSRnPaRSKZKSkhAVFYWBA5W/8F0/fx4PTp3SmEdE6i72RxVrCOpLlixBaWkpNm7cyFmebbVtbt5NZN0Qa8xjw1wf9kcVawjqxmhbrkiqqnB797e49O47OD/vFVx88x8o2PQl6ovV31lSW9X1MvxwtgZJ+8vxTqoIy74rQ/LxKtwp1/1WuS0CAwPB4/E0/mRkZBhcd3OggK4HYw9c68bxoChiXIcOHUJxcTFmzZqlMr16/TqNx7svfkerclQF9eHDhyMwMFCr440tNDQU4eHh2LFjB2QymcZ9ta13W22786y7xuPnDdZuQKCqoG6tbWtKkooKXEtKRGlaGsQiEZimJjRVV6MiKwtXl/8fqq9c0TvvyjoZ1h2swMm8BpTXyCCVATUNDM4XirH+YAWu/1fC4TNR5ObmZrS8jYkCup6MFdSdpk6Dm5+fUfImxpGSkgIej4dJkyYppWnTs65qI+C38H1xvK5VM7kpU6aguLgY6enpnOSnqW216VnvPKvdKPzn+zrqXDdTM7Rti/XoMefEztb4Hr69dw/EoubXwXfU/6DP5i0IeP0NgMcDIxajeMd2MFLVl0PikkUaX8Of/lOD8prmLy9RvYVYOd0Ls6PcwOMBEimw549qSGXajpp4pLCwEAzDKPwcOXKETe/bty8iIyN1ztcSUEA3ANdBvffmzeipYeAPsTwMwyAjIwM9e/aEp6en3vk0f3DGqv3wjEjdhU4TLX8a05AhQwAAx44dMzgvrto2LlmERd+oDx4b5vpgXITl98gMadvMzEz06tULq1ev5qw+TbW1qMjOBgDw7O3h/9JLsHN1hdeQIXAN7gkAEItEqPr7b53zrmuU4UJh86UUewEwLtIFLo58RHZ1RJCfPQCgvEaGq3e56aWvW/foS/W7777LSZ7mQAHdQBGpu+Dasycn+Ti6Wv6HClGUl5eH8vJy9OvXTyktQ+dRycq9Db6Tk1WtTdC/f38AwOnTpw3OS1Pbfv1jlk55MTzlbUJ7ntrr6pbIkLYNCQlBZGQkli5dilWrVnFSn/qiIuBh79vRrz34Dg5smlPnTuzjuhs3dM77dlkTWjrfPu4C2Ns9egH92wnYx4Wlhgf0S5cu4ejDZbg7deqEqVOnGpynudA8dA50XxoPALj49ptoqtRtFGrflFTweCo+bYhVuH37NgDAT8VlEo/MswblbU2BvIWbmxuEQiHbLobQ1LYXK7sYlLc1BfIWhrStq6srDh8+jDFjxiA+Ph4MwyA+Pt6g+kgqH91SWuDsrJDGd3o0x1+ix62nqxsefbl1dlD8fBTK/V1dr/sp99bWrVsH5uFU0rfffhv29vYG52kuVhXQJRIJJBLjDYRQV6b8b016fr4eACAWi1GYkABxaYnK/fw//Qxe3t4AgKYm9aM1dSmbS+Yq11LK1kVZWRkAoF27dtxVhMdTOctB0xc/VWkFBQVmGdTl5eUFkejR6W19622MtuUB+EJFMLfWtgWaR20XFRXplM+yZcsQERGB6Ohodlt1Xh6ur1bde299Kaj32s9b7cGo/ZMHHvLvibHpN9WdndaXQj6erPh6K4VshbwNU1JSgj179gBo/sK0YMECA3M0L6sJ6AvCw/DX5k3m+fbUOwRpaWm6HTN0qNqk4sxMnbLSuWyOmKtcc5VdV1fX9k6tOD3sidTX13NSh6BlH8K9Rw+VaQkJCUrbUlJSUFFRgUWLFimlGXLd2RD19fVwluux6Vtvrtv27dEuCOqgenU4a21bAJg8ebJSkFcnNzcXOTk58Pb2RteuXQ2qi73cHSilrf53pHLLGdt5aJ6JoIqb8FGorm9UDOn1kkd/uzkZFtI3bdqExsZGAMD8+fPhwfFdNU3NagI6AAQFBcHR0bSjUaUyGc4DGDlypMm/TEgkEqSlpZm8bHOVa+6yW3qEuvD19QUAlJeXc1KHGys+AaD6dLuqhVUyMjJQWFiodtEVU5PJZKisrERISAi7Td96c922G3+rBVCr8nS7tbYtAKxdu1ar40+dOoXo6Gj4+PggPT0dwcHBCuluvXopve9aeuaq3o92Li7gCQRgpFI03r8PmVjMXkdvkLss4Nw1CB06OCi1e0vPXNXr4ezIg4APSGWAqFoKSRPDXke/9+DRWc0AX/0/IxoaGrBt2zYAgEAgQFxcnN55WQqrCuh8gQB8gaDtHY3A3t7ebNdWzFX24/ac9SkvJCQEfD4f+fn5nNYlJ3Y2un6xAR5cnso3gfz8fMhkMvTp08fgvIzVtnHJIiROsEc7T+vqjRnSttnZ2Rg9ejSEQiHS09MRFhZmcH0Ezs7w6D8AFZlnwUgkuLt/P9qPH4/qixdRc/UqAMDBxwfuoaE65+3kwEd4gAPOFYghkQK//FWL0X2dceWOBDfuNwd0L1c+gv31/4zYtWsXSktLATSf5QgICNA7L0thVQGdEEvj6emJsLAwZGdng2EYheutlYMGGzQw7uai5h6DNQ2Oy3x4OSkqKsrgvDS1bR+PAoMGxiX+JAEgsqrBcYa0bffu3REVFYVVq1Zx8mWrRafp01F34zrEIhFKjx5B6dFH87l5Dg548tUF4OnZCRs/0BWFpRUor5HhxOUGnLjcwKbZC4AZQ90g4Ot3yp1hGKxfv579+7333tMrH0tD09YIMdD48eNRWVmJrCzFqVTDFy7kJP+c2NkQNzS0vaMFSEtLg0AgwNixYznJT13bzp84gJP845JFaGg0/QBMfRjSth4eHjh48CCnwRwA7D090SMhET7PPw8HHx/wBALYubnBs/8ABH/0MdwMmNLr4czHO2M9MbSXEF6ufAj4gIsjD+EBDlg81hPd2uvfOz906BCuPFzFbtiwYeyUQGtHPXRCDDR//nwsX74cu3fvVrneOBcuvbZA7eh3S1FXV4cDBw5g3Lhx8Pf35yRPU7Tt+3ubp1VZcm/dGG2rDW3ODtm7u6PzrNnALN3uN6BNe7s58TF5sCsmD9Yp6za98MIL7FQ1W0I9dEIM1LFjR0yZMgV79+5FbW2tQhqnp8tVfAC1DNyyBPv27UNNTQ0WL17c5r7a1ltT2xo7AFtr25LHFwV0QjiwYsUK1NTUYPPmzUpp7hwtJWnJ19KbmpqwcuVKxMTEYNiwYZzmralt5w+p5qQMS+6dG7NtiW2hgE4IB7p06YLU1FS4uLgopQWFhcNLw7oE2rDkYA40r+o2c+ZMhTWxuaKpbfv07IJB3RxUHKU9Sw7mgHHbltgWuoZOCEc0rQEdMP9VuL0wFkUfvK9zvpYezIHm1cqMOV9bU9tOH+qOET0rsOqg7vfItvRgDhi/bYntoB46ISbi1aFDc3DWcu3+J8fFWEUwtwTtfT2xYa6P1kuBPtfN1SqCOSG6oB46ISYmP1I9d+EbkMoN9nLs0AG9V39qjmrZBPl12pfuFaGu8VHaEx4CLJtoXQv1EKILCuiEmFHYlq1GLyO6n6vRy7BEq6YbvwfuP8Hy71FPHh90yp0QQgixARTQCSGEEBtAAZ0QQgixARTQCSGEEBtAAZ0QQgixARTQCSGEEBtAAZ0QQgixARTQCSGEEBtAAZ0QQgixARTQCSGEEBtAAZ0QQgixARTQCSGEEBtAAZ0QQgixARTQCSGEEBtAAZ0QQgixARTQCSGEEBtAAZ0QQgixAXbmroA2GIYBADQ2Npq8bJlUijpJE6qqqmBvb2/SsiUSCerq6kxetrnKNXfZ1dXVAB693wghxJrwGCv49Lp9+zY6d+5s7mqQx8StW7fQqVMnc1eDEEJ0YhUBXSaT4e7du3BzcwOPxzN3dYiNYhgG1dXV8Pf3B59PV6MIIdbFKgI6IYQQQjSjbgghhBBiAyigE0IIITaAAjohhBBiAyigE0IIITaAAjohhBBiAyigE0IIITaAAjohhBBiAyigE0IIITaAAjohhBBiAyigE0IIITaAAjohhBBiAyigE0IIITaAAjohhBBiAyigE0IIITaAAjohhBBiAyigE0IIITaAAjohhBBiAyigE0IIITaAAjohhBBiA/4f2lwdU/fd4ZAAAAAASUVORK5CYII=" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 0, 2 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 1 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 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>"}
[ 4 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 2 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 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>"}
[ 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>"}
[ 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>"}
[ 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>"}
[ 4 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 0, 2 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 0, 4 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 4 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 2 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 2 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 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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Vlcxbb72l8Hiz1vXNnDmTKSkpYX7//Xc2uQuFQkYul7Pbt75csq1Jkyax7bl9+zYjkUiYe/fuMSdPnmQSEhKM1IvEGIqLixXeG3/88YfG7ZcsWcJuO27cOOb+/fvMgwcPmDFjxrCPL1myhN1e34QOgHnnnXeY8vJy5tixYwpfGFpTF59hDPsbGTVqFHP79m2mpqaGuX79um6d2rp9eu9JCLFI2ib0mpoadrQUHh7OMAzDZGZmstu9+uqrbMzAwECNMQEwEydOZLdvfozP5zPl5eXs4wMGDGDLHj16xD6uKaEvX76cAcDweDxm1qxZzI4dO5gTJ04wjx8/5rrriJE9fvxY4T1z+fJljdu3ft9dvXqVfTwrK4t9vFOnTuzj+iZ0Pz8/9q6TDMMwPj4+DADG0dFRIY6mhK7v3wgApqioqL2u04pRln7lmlwux8OHD+Hm5kZ3pyJGwzAMqqurERAQwPk1/OYSFxendq14Z2dnzJ49G3v37kV2djauXr2Kr7/+mi1//fXX2Z9br2mvTmlpqdJjHTp0UFgDv/VlSPX19do8BcTHxyM3NxenTp3CoUOH2FUl+Xw+ZsyYga+//lppGWJimXx9feHu7s6e+75+/ToiIyPVbt/6fdf6RlKtz1urem8yba6UaGxs1Niu7t27s3edBJrep2VlZTrdJEzfvxE/Pz907txZ63o0sYqE/vDhQ86eMCHtuXfvHjp16mTuZpjEa6+9hr179wIAEhMTcfjwYQBA//79MWDAAHY7f39/PHjwADweDw8ePEDHjh2VYrX9EAW0u/mPpseBpmt+T5w4gcrKSly7dg35+fk4dOgQfvnlFxw+fBgxMTGYOXNm+0+WmB2fz8ekSZPwzTffAGia7Pjyyy+r/ELW2NjIvu+Apolozfd6aH3JmL+/P/uzo6MjGhoaFGaKy+Vy3L17V2O7tH2faqLv34i6mzvpwyoSupubGwAgPz+f/dlUpFIpzp49i1GjRum1+pw11v0kPmeg6Ra6PXr0MPl7zJz69euHgQMHIjMzE7t372ZHMq+99prCdlOmTMGnn34KhmEQFxeHnTt3olu3bigrK8O///1vfPHFF5g1axbmzZunVzt8fHzYD+krV64oXH+8f/9+AE33l+/Xrx8GDBiAgoIC/PLLLwCAoqIiveok5hEfH4/jx49DLBYjOzsbkydPxsaNG9G7d2+IxWL8+9//xieffIKPPvoIMTEx7BfOd999F19++SV4PB7effddNl5MTAz7c3BwMG7duoXS0lJcunQJQ4YMwccff6zVLbu14ePjg7KyMpSWluLBgwcK9w8x9t+IVjg5cG9kVVVVDACmqqrK5HVLJBLm2LFjjEQieWLqfhKfM8MwTGlpqdneZ1xq7xw6oHiPgH379imUubq6MiKRSCFmWVkZExYWpjFm6/svND+mzblMhmGYN998Uyle82zfhQsXqq3Tzs6OycrK4rYDidGdOXOG8fX11fh+ysrKYoqLi5nu3bur3aZ79+5MSUkJG3fTpk1sGY/HY1xdXRmgaSZ52/dd63PobWeWq5vT0TxBs/W/5jkpXP2NGMI2ThQSQvT28ssvKxyVmDlzptJRCm9vb6Snp2Pjxo2IjIyEi4sLe9+GsWPHYseOHQbdlyAhIQGzZ8+Gv7+/0uHOqVOnIjY2FiEhIXBzc4NAIICvry+io6Px66+/WtxqYqR9o0aNQk5ODjZu3IghQ4bA09MT9vb2CAwMxKhRo7Bz5050794dfn5+yMjIwJo1a9C7d28IhUI4OjqiV69eWL16NTIyMuDr68vGXblyJdasWYOgoCA4ODigZ8+eOHbsGAYNGsRJu//+979j0qRJ8PHxUSoz9t+INqxi6VeRSAQPDw9UVVXB3d3dpHVLpVKcPHkSEyZMMMvhZ3PU/SQ+Z6BpbWlfX1+zvM8IIcRQNEInhBBCbAAldEIIIcQGUEInhBBCbAAldEIIIcQGUEInhBBCbAAldEIIIcQGUEInhBBCbAAldEIIIcQGUEInhBBCbAAldEIIIcQGUEInhBBCbAAldEIIIcQGUEInhBBCbAAldEIIIcQG2Jm7AYQ8ya6+8QbkdbXs7w7+/gj7cJtZ2rLqmzLUSVrupuznzse6ad6c1vHwh+85jddawJSpRotNiDWghE6IiWXNjwMYRmWZ5PFjZMXNAwC4jx6NkLj5Rm3L8sRSqG4JUCKSY1liKQBgaG8XvDzEyahtIYQYhg65E2IiZQ8fNiVrNcm8LdGZM2xy59qj4gos05DM27p0o4ZN7oQQy0QJnRAOyOVyREREYMKECSrLC/Z9jqLVq/SKzXVSP3hehK0/yfTa19KTel5eHuzs7LBnzx5zN4UQk6ND7oRwICkpCdnZ2di/f79SWd6VK6i+cEHj/pHJX7E/q0rgWXHzFLbRV3bOXWTccde4zc4FvuzPqhL4ssRShW0sSbdu3TB79mwkJCRgzpw5cHfX/FxNqerKFVRmZqA2Px/SykrIGxpg7+UF5y5d0WHSJDh17qx3bHG9HKev1qKwpBEPyhsh/ev72uBujpg93I2jZ2Ab0tLSMGrUKLXl8fHxSEhIMF2DOEQjdEIMJJPJsGHDBkRFRWHw4MFK5dUff6Rxf/cVb2tVj6pEP3LkSAQHB2u1PwB8eUlzgls4VKxVHFWJXte2GMvKlStRUlKCXbt2mbspCkp+TUH5b7+h/v59yMRiMFIpJMXFqEy/hJvx76Hq6lW9Y1fWyHHuRj0KSlqSOXnyUEInxEAnT55EUVER5s6dq1SmzeFyUTsJv5nfi5N1bZoCbQ6Xf3nJVatYY/o5GtQWY+rTpw8iIiKwf/9+yOVyveMUFRXptH1W3DyNrzdPIID3iBHovm49IvZ/gV4ffAjX0NCmQpkMj/55VO2+yxJLNb5+Tg48RPUWYu4IV4wLp8mL2jp79iwYhlH4Z62jc4AOuRNisKSkJPB4PEybNk3vGE2JgAeomabGxeF2bS1LLAWPARie6nJLPdzeWmxsLNauXYvU1FSMHTtW5/3T09MxevRorF+/HqtW6Tf3oa3gNxZD4NSSbIUdOiBg5su4vSEBAFD/6JHesX3cBJg6pOnL2L9v1hnUTmK9aIROiAEYhkFaWhp69uwJT09PhbI0nSdmKSdzvpMTJ8n8i+8zdGuJimQutOdZRTIHgGHDhgEAzpw5o9f+YWFhGDBgAFavXo0tW7Zw0qbWybyZXCJhf3bw5vaaf9K+2NhYODg4wMPDAyNGjMDhw4fN3SSD0AidEAPk5OSgvLwc0dHRSmUe6ZcMis3lqPxaVReD9reWRN5s4MCBAICLFy/qtb+rqytOnTqFCRMmYM2aNWAYBmvWrOGyiZBLpXh09Fv2d98xuh9JIIYpKSkBAEilUvz222/47bffcO3aNWzevNnMLdMPJXRCDHD//n0AgL+/P3dBeTxEJiWreFjNMXA1Zfn5+QZPUuMB+ERFMjdHW3Th5uYGoVDIvj6tBQcHo7CwUKd4a9euRWRkJPvFrTonB3lbVY/c255H7719Bxz9/BQek9XV4e6unajJywMAeD3zLPz+OjWQ+0iCT38WqYzd9jz6e9O94OMm0Om5POn8/f2xfft2jB8/Hl26dIFIJMKOHTuwfft2AMCHH36IxYsXo7MBVx2Yi1UldKlUCqlUavI6W///JNT9JD5nfessKysDAHh5eXHShpC16+Deo4fKsvj4eKXHkpKSUFlZieXLlyuVtT0FoKu3xrsgpKPqCVambos+vL29UVqqPJFs+vTpKh9XJTs7G1lZWfDx8UHXrl05aZe0ogJ5O7aj/t49AIDvqNHoNG+exi9JhDu9evVCr1692N+dnZ2xbds2HDt2DHl5eZDJZEhPT6eEbmynT5+Gs7OzWepOSUkxS7261t3Y2Iinf02BXW2tyvI/nx8Ddw8PzuvlmjnqrlXTZ5o4/XVetK6Om4lIdza9D0D14XZVs2/T0tJQUFBglJm5u36uAVCj8nC7qduij7q6OpWfF80jsfZcuHAB0dHR8PX1RWpqKkKbZ6QDcOvVS+k1ah6ZazpVUnf/Pu7s2A5peTnA46HjtOnoMGmSwjbdOzoo9XnzyNzaTn1YIplMBoFA+ahG6y9UfL51Ti+zqoQ+btw4ky8UIZVKkZKSgrFjx8Le3t5i685ZsQKyatWH6Vrrk/or+3PY/i9Ujgqs5TlzrXm0rQu/vw6llpeXc9qWrLh56PrJTnhwNPI3xLLEUiRMsYeXp3ZfBC2BXC5HVVUVwsLC9No/MzMT48ePh1AoRGpqKsLDww1uU/XNm8jf+QlktbXg2dnh6UWvwvuvyXuGkjMMahuaJlVKGlsmVzbKGIjrmy7dE9rzYCegowCxsbEICwvD9OnTERoaioqKCuzYsQO5ubkAAHt7e3ZSpbWxqoRub29v8g95S6/79saNqMnL1Svu9VcXAVA/orDU52zMOnUVFhYGPp/Pfhi0VjVkqEET4+4uXwaAm8lxfT3yDZoYl/CDFIDlrhDXVm5uLuRyOfr27avX/t27d0dUVBS2bNmid4y2/vvD95D9dRSIaWxE4Wd7UfjZXoVtVJ1v10aFWI7/+2eF0uOX8yW4nN/0ZXPWc64Y0l2oR8ttS1lZGTZu3IiNGzeqLN+6dSs6duxo4lZxwzqPKxAATaM4fZN52zj1ovZH90SZp6cnwsPDkZmZCabNTVdGLlnCSR1ZcfMgqa83KMaiqYM4acuyxFLUN5h+foOu0tPTAQBRUVF67e/h4YETJ05wlsyJ5Vi3bh0WLVqEsLAweHl5wc7ODv7+/njxxRfx66+/4u23tVu50RJZ1QidtOD6hh05by6F04yZ6Knm5iJEvcmTJyMhIQEZGRkql37lwvXXX1M7+93U3j1UBcCyz+empKRAIBBg4sSJJquzvSMp3Vfrf9lbe33t4yaw6NfDkowZMwZjxowxdzOMgkboVkiXZB6Z/BX7r187yaDuH0dQ/fixoc174ixatAgCgQAHDx5UKuN0hTcVt11tnoimDWN/4OvSFmOqra3FsWPHMGnSJAQEBJi7OYSYDCV0K6NLMvccNFDhdx6PB9hpPiiT978r9WrXkywwMBCxsbE4dOgQampqlMrd33mHk3q4+HKwaFg1By2x7NH5kSNHIBaLsWLFCnM3hRCTooRuRa7/Xbe7R0mGPqP0WI+169rd7+ZKSuq62rRpE8RiMXbv3q1UFhIeAe/hww2Kz9VIv2/PLhjSzcGgGJaczBsbG7F582bExMRgxIgR5m4OISZFCd2KSDIzddq+VsUXgNv/t6Hd/Xpu26ZTPQTo0qULkpOT4eLiorI8aNGrCNr6gV6xub4xy6zh7lg9Ub/pM5aczIGmlfvmzJmDjz7S7g52hNgSSuhW4t7X+n2o3/rrTk4AcHPdOpXnYVsz5V29bM2MGTPwt7/9TW25d8eOTf2r5YpgT0+KMdrr0cHPEzsX+ELbq5Kf7+Zq8ckcaFrWNSEhASEhIeZuCiEmR7PcrUTpr7+2v5EKtXfvanXe3alLF/RMaH/0TgzXeqZ69pLFkLU67+7YsSN66zmS10frddpXHypFbUNL2VMeAqydav6FbQgh2qGETmhUbkbhe/a2v5GJbJll/BF4wJSpRq+DkCcVHXK3Anf0HJ23y86OkjkhhNgIGqFbAenJk5zHDP/yAATtXMJGCCHEetAnuhVoFFVxF8xCVhsjhBDCLUroTxDfkaPQecECczeDEEKIEdA59CdIadpZzteAJ4QQYhkooVsBgQe396HOipuHzNOnOY1JCCHEvCihWwHHaO7vgCb45iCy5sdxHpcQQoh50Dl0K9B1zBj8eeQw94EZBllx8+Dz6mt4+rnnuI9P2nX1jTcgr6tlf3fw90fYh+ZZenfVN2Wok7SsJOjnzse6ad6c1nHqspjTeK1F93c1WmxCrAEldIKy/ftQtn8fXZNuIlnz49QuwSt5/Jid5+A+ejRC4uYbtS3LE0uhbjHgEpEcyxJLAQBDe7vg5SFORm0LIcQwdMjdSviNHWf0OrLi5uH6f9KNXs+Tquzhw6Zk3c56+s1EZ84YbRLjo+IKLNOQzNu6dKOGTe6EEMtECd1KdJozxyT1SHbvRu66tSapy5bI5XJERERgwgTV8x0K9n2OotWr9IrNdVI/eF6ErT/J9NrX0pN6Xl4e7OzssGfPHnM3hRCTo0PuVsRh0GBIMv5j9HoaHj82eh22JikpCdnZ2di/f79SWd6VK6i+cEHj/q1Pd6hK4Flx8zg5JZKdcxcZd9w1btP6rmqqEviyxFKLvfNat27dMHv2bCQkJGDOnDlwd9f8XE1JKhLh8Y//Qu3du6gtLAQjlQIAvJ97DkGvvmZQ7Ov3JLha2ICikkaI6uRoaGTg6czH0752GBvujABv+qhvSywWY+vWrTh69CgKCwvh7OyMoUOHYvXq1Rg+fLi5m6cXGqFbkbClS01ST5/9X5ikHlshk8mwYcMGREVFYfDgwUrl1R9rvje3+4q3tapHVaIfOXIkgoODtdofAL68pDnBLRyq3aQ1VYle17YYy8qVK1FSUoJdu3aZuykKpBUVKDl9GjV5eWwy58r5nDqk5zbgUaUMNQ0MGmVAabUcl/Ml2PavSty4L+G0PmtXU1ODESNGYNOmTbh9+zYaGhpQUVGBU6dOYeTIkThy5Ii5m6gXSuhWxtgT17qZaYa1NTt58iSKioowd+5cpTJtDpeL2kn4zfxenKxr0xRoc7j8y0vazRQf08/RoLYYU58+fRAREYH9+/dDLpfrHaeoqEin7bPi5ml8vQXOzvAbNw5Bb7wB/0kxOsVelliq8fUT8IEh3R2xfIIHts31wdqpXgjxbxqVyxngxB81avd9Em3cuBFZWVkAgNjYWBQXF+PXX3+Fs7Mz5HI5Xn/9dZSXl5u5lbqjhG6FjJXUnWbMhJu/v1Fi27KkpCTweDxMmzZN7xhNySBObUKITP4Knaaa5tajyxJLsfyA+gSyc4EvJkW6maQt+oqNjUVRURFSU1P12j89PR29evXC1q1bOWuTo58fOs2eA+9hz8DBm9vLAeeNcMOs59zQxd8eDnY8POUhwIuDXNjyx1X6zZmwRQzD4MCBA+zvH374Ifz8/PD8888jNjYWACASifCPf/zDXE3UGyV0K8V1Uu+9ezd6qpnQRdRjGAZpaWno2bMnPD09FcrSdJ6YpTznnO/kxMlr/cX3Gbq1hKf8mNCeZ7HnztsaNmwYAODMmTN67R8WFoYBAwZg9erV2LJlC5dNMwqhg/JHubRVDvdyoY/6Zvn5+SgpKQEAuLm5ISgoiC3r27cv+/OlS5dM3jZD0UwJKxaZ/BVyt2yG+OZNg+MQ/eTk5KC8vBzR0dFKZR7phn0gcPm6XKvqYtD+1pLImw0cOBAAcPHiRb32d3V1xalTpzBhwgSsWbMGDMNgzZo1XDbRqBplDH7MbDnMPrwXrSHQ7HGrSb9tv4R7tFpm+7EVTg6mhG7luq9u+pC59tZSNFaJdNq3X1IyeDwVQzGitfv37wMA/Lk8VaHmFreaXitVZfn5+QZPUuMB+ERFMjdHW3Th5uYGoVDIvj6tBQcHo7CwUKd4a9euRWRkJPvFrTonB3lbVY/c25426b19Bxz9/LSuK/eRBJ/+rPpvue1pkPeme8HHTaDwWL1Eji/PVKOgpBEAMCjEESN6CbWu/0nCtFkTovXv1vjZaFUJXSqVQsrx7FBt6nS/cR0PG+oh4Jv2sJVMLgcchVo95547PgYASCQSFMTHQ1JSrHK7gA8+hLePDwCgsbFR5TbN9Zm6ry2lbl2UlZUBALy8vDhpQ8jadXDv0UNlWXx8vNJjSUlJqKysxPLly5XK2o4+dPXWeBeEdFQ9sjN1W/Th7e2N0lLleQDTp09X+bgq2dnZyMrKgo+PD7p27cp1EzlXVSvDZ6dFeFjRdLz92VAhpg9zscrkZCytv3xXVlYqlFVVVanczlpYVUI/ffo0nJ2dTV6vO4C7d+6YvF4AQO8wpKSk6LaPhmsoi9K1XwlO53o5ZI66a2tr29+oDSenpoRXV1fHSRvubHofgOrD7QkJCUqPpaWloaCgQGWZoXb9XAOgRuXhdlO3RR91dXUqPy+2b9+u1f4XLlxAdHQ0fH19kZqaitDQULbMrVcvpdeoeWRu6KmS7h0dlPq8eWSu6dTHo4pGfJYiQmWNHDwALwxwxthw039eWrquXbviqaeeQnFxMcRiMQoLC9nz6NeuXWO3GzJkiLmaqDerSujjxo0z+UIRUqkU6Teuo2tIiFlG6FcAjB07Fvb29iarVyqVIiUlxeT1mrvu5tG2Lvz+OpTK9SUuWXHz0PWTnfDgaORviGWJpUiYYg8vT25v42tMcrkcVVVVCAsL02v/zMxMjB8/HkKhEKmpqQgPDze4TYxcDllN03ltWUNDS1uljWisrgYA8IVC8PV43+f9V4ovUkWokzAQ8IHZw90woKvlXlpobq+88gp7BcP//u//Yvfu3bh69SqOHj0KAHB3d8eMGTPM2US9WFVCt7e3N/mHfDMBnw++QND+hkZgrudtzv42R9361BcWFgY+n4/c3FylsqohQw2aGHd3+TIA3EyO6+uRb9DEuIQfpAAsd4W4tnJzcyGXyxVmLeuie/fuiIqKwpYtW/SO0ZakrAw3/ucdpccr0y+h8q/3ydOLXoWPHquUncqqYe+UJ5MDX52rxlfnqhW2UXW+/Um1bt06/PLLL8jKysK3336Lb7/9li3j8/n4/PPP4c3xpYWmQNcyEGIAT09PhIeHIzMzU2mCzcglSzipIytuHiT19QbFWDR1ECdtWZZYivoG089v0FX6X6eWoqKi9Nrfw8MDJ06c4CyZE8vi4uKCc+fOYe3atejevTscHBzg6emJ8ePH4+zZs5g5c6a5m6gXqxqhE2KJJk+ejISEBGRkZKhc+pUL119/Te3sd1N791DTxCFLHq2npKRAIBBg4sSJJquzvSMpjn5+eh9taa+v34z21Cvuk8zNzQ3vv/8+3n//fXM3hTM0QifEQIsWLYJAIMDBgweVyji9xl/FbVebJ6Jpw9gJWJe2GFNtbS2OHTuGSZMmISAgwNzNIcRkKKETYqDAwEDExsbi0KFDqKlRXjPb/R3l86b64OLLwaJh1e1vpAVLHp0fOXIEYrEYK1asMHdTCDEpSuiEcGDTpk0Qi8XYvXu3UllIeAS8DbwdI1cj/b49u2BINweDYlhyMm9sbMTmzZsRExODESNGmLs5hJgUJXRCONClSxckJyfDxcVFZXnQolcRtPUDvWJzvTTvrOHuWD1Rv+kzlpzMgaaV++bMmYOPPtLuDnaE2BKaFEcIR9q7btW7Y0d4J3+FrPlxKs+Ht/X0pBj4TJ/OVfMUdPDzxM4FwPLEUhW3hFH2fDdXxAy3/OVDg4ODLWZhG0JMjRI6ISbWeqZ69pLF7GIjAODYsSN66zmS10frddpXHypFbct6J3jKQ4C1U82/sA0hRDuU0Akxo/A9e83dBNaWWcY/nB7d39XodRDypKJz6IQQQogNoIROCCGE2ABK6IQQQogNoIROCCGE2ABK6IQQQogNoIROCCGE2ABK6IQQQogNoOvQCTGjq2+8AXldLfu7g78/wj7cxmkdD3/4ntN4rQVMmWq02IZa9U0Z6iQt6+D5ufOxbpo3p3WcuizmNF5rdM0+0RUldEJMTNPSr5LHj5EVNw8A4D56NELi5puwZdZP01K2JSI5liWWAgCG9nbBy0OcTNcwQkyADrkTwgG5XI6IiAhMmDBB7TZlDx82JWst1nEHANGZM2xyt3R5eXmws7PDnj17OI+tTd8+Kq7AMi3XpQeASzdq2ORu6YzZt8S2UEInhANJSUnIzs5We2OQgn2fo2j1Kr1iW0NS79atG2bPno2EhASIRCJOY7fXtwfPi7D1J5lesa0hqRuzb4ltoYROiIFkMhk2bNiAqKgoDB48WKk878oVVFy4oDFGZPJX7D9VrCGpr1y5EiUlJdi1axdnMdvr2+ycu8i4I9EYY+cCX/afKtaQ1I3Rt1yRikS4f/BrXH/nbVxZ+AquLf0b8j/9O+qKigyOXV0nx3eXxNhwtBxvJ5di7eEyJJ4V4UF5o8Gxb9y4gfnz5+Ppp5+Go6MjvLy80K9fP8THxxsc21wooRNioJMnT6KoqAhz585VWV79seZ7c7uveFurelQl9ZEjRyI4OFir/Y2tT58+iIiIwP79+yGXyzVuq2272+vbLy+5a9x/4VDtJq2pSurW2remJK2sxO0NCShJSYGktBRMYyMaq6tRmZGBWxv/D9U3b+odu6pWjo9OVOJ8Tj3KxXLI5IC4nsGVAgk+PlGJvP9K9Y79/fffo3///khOTsa9e/cgkUhQWVmJq1ev4ptvvtE7rrlRQifEQElJSeDxeJg2bZpSmTYja1E7Cb+Z34uTdW2aycXGxqKoqAipqamcxNPUt9qMrL+8pN1M8TH9HHVum6kZ2rdFeoyYs+LmaXwP3z/0DSSlTa+D37j/h7679yDojcUAjwdGIkHR/n1gZKpPhyxLLNX4Gv7wHzHKxU1fXqJ6C7F5ljfmRbmBxwOkMuCb36ohk2s7a6JFfn4+5s6di4aGBnh4eCApKQnFxcUQiUTIyMjAihUrdI5pKWiWOyEGYBgGaWlp6NmzJzw9PfWO0/ShyQPUTOtSdyje0gwbNgwAcObMGYwdO9agWFz17bLEUvAYgOGpLld3KN7SGNK36enpGD16NNavX49Vq/Sby9FWY00NKjMzAQA8e3sEvPQS+A4O8B42DGVpaRDfzIGktBSiP/+ER0SETrFrG+S4WtB0KsVeAEwa4AJ7Ox4GdHXExVv1yPuvFOViOW49lKJ3JwedYu/cuRO1tU2Xim7fvh1xcXFs2cCBAzFw4ECd4lkSGqETYoCcnByUl5ejf//+SmVpOs9KVk7mfCcnq0nmANgPw4sXLxocS1PffvF9hk6xVCVzoT3PapI5YFjfhoWFYcCAAVi9ejW2bNnCSXvqCguBv0bfjv4dwHdoSaxOnTuxP9feuaNz7PtljWgefPu6C2Bv1/ICBngJ2J8LSnQ/7J6SksL+nJeXh969e0MoFCIwMBBLlixBeXm5zjEtBY3QCTHA/fv3AQD+/v5KZR7plwyKbU2JvJmbmxuEQiHbL4bQ1LfXqroYFNuaEnkzQ/rW1dUVp06dwoQJE7BmzRowDIM1a9YY1B5pVRX7s8DZWaGM79Ryjb9UVAVdVde3fLl1dlD8NiZs9Xt1ne6H3AsKCtifP/jgA/bnhw8fYu/evTh37hwyMjLg3OY5WQOrSuhSqRRSqf4TIfStEwBkZpiI0lynuZ6zqeu1lLp1UVZWBgDw8vLiriE8HiKTklU8rOaYsZqy/Px8s0zq8vb2Rmlpy7lRfdttjL7lAfhERTK31r4FgODgYBQWFuoUZ+3atYiMjER0dDT7WHVODvK2qh69tz2P3nv7jjZbMGp/5YGH3EcSfPqz6kvu2p5Hf2+64uutlLIVYuuu9d95v3798OOPPwIAJk6ciKtXr+LGjRs4cOAAli5dqkd087KqhH769GmtvzU1NjbiP+IhqJcLVZYPsPsZHu5u2lXcOwxXtGyjMbQ+RPQk1GuuupvPq+nC6a+RSF1dHSdtCFm7Du49eqgsU3U5TVJSEiorK7F8+XKlMkPOOxuirq5O4e9U33Zz3bdvjXdBSEfVq8NZa98CwPTp05WSvDrZ2dnIysqCj48PunbtalBb7D082J9lbf52ZK2WM7bz0HwlgipuwpZUXdegmNLrpC2/uznpntL9/Pzw8OFDAMD8+fPRqVPT6YEFCxawr/Uff/yhc1xLYFUJfdy4cXB31/zmSPinCOL69g/D/NE4HvjrVMm22e5qv6FLpVKkpKRg7NixsLe317nNhjBX3U/icwZaRtu68PPzAwDOzrvd2fQ+ANWH21UtrJKWloaCggK1i66YmlwuR1VVFcLCwtjH9G0313276+caADUqD7dba98CTRO7tHHhwgVER0fD19cXqampCA0NVSh369VL6X3XPDJX9X60c3EBTyAAI5Oh4fFjyCUS9jx6favTAs5dQ9Cxo4NSvzePzFW9Hs6OPAj4gEwOlFbLIG1k2PPojyparkEP8tP9M2LQoEE4fvy40uNMqxUcrfFwO2BlCd3e3l7th/zHP1WioFi/xQZWftN0KEjTeTVNdRubuep+0p6zPvWFhYWBz+cjNzeX07Zkxc1D1092woPLQ/kmkJubC7lcjr59+xocy1h9uyyxFAlT7OHl6dH+xhbEkL7NzMzE+PHjIRQKkZqaivDwcIPbI3B2hsfAQahMvwRGKsXDo0fRYfJkVF+7BvGtWwAAB19fuPfpo3NsJwc+IoIccDlfAqkM+PGPGozv54ybD6S487jpc97blY/QAN3/Zl955RU2oSclJbGXRCYnt5zmGjdunM5xLYFNzHJflliqdzJvG0dUq3nVKUJa8/T0RHh4ODIzMxW+4QNA1ZChBsW+u3yZVawQ11p6ejoAICoqyuBYmvq2r0e+QbETfpBaxQpxrRnSt927d0dUVBTOnDnDSTJv1mnWLDj4Ng2ESk7/gmtLFqNg7x6AYcBzcMDTr74GnkDQThTVJg92hbdrU4o6d6Meqw+VI/lcNRim6VK22cPdIODrfsg9JiaGvVTtypUr6Ny5Mzp37owrV64AAKZMmYKYmBi92mxuVp/Quf6jXP8PEVLSCziNSWzb5MmTUVVVhYwMxUupRi5Zwkn8rLh5kNTXcxLL2FJSUiAQCDBx4kRO4qnr20VTB3ESf1liKeobTD8BUx+G9K2HhwdOnDjByZGT1uw9PdEjPgG+Y8bAwdcXPIEAdm5u8Bw4CKHr34Nbz556x/Zw5uPtiZ4Y3ksIb1c+BHzAxZGHiCAHrJjoiW4d9D+Cd+DAAezZswf9+/eHk5MTnJycEBkZiZ07d+Lo0aMaJ0laMqs65N6WLsm89eF0hmGwPEn9+dITN1wR0b0WT3lb53kUYlqLFi3Cxo0bcfDgQZXrjXPh+uuvqZ39bilqa2tx7NgxTJo0CQEBAZzENEXfvnuo6bIqS76UzRh9qw1tLp20d3dH57nzgLm6HU3Spr/dnPiYPtQV0w072KWEz+dj8eLFWLx4MbeBzcxqR+i6JPN+QYorCfF4PNjzNU+c23Rc9xnP5MkUGBiI2NhYHDp0CDU1NQplnF5LruK2q80TtyzBkSNHIBaLtVo6U9t2a+pbYydga+1b8uSyyoT+xS8Pddo+4qkSpcfefMGz3f3iv7XeFYOIaW3atAlisRi7d+9WKnN/5x1O6rDkhWYaGxuxefNmxMTEYMSIEZzG1tS3i4ZVc1KHJY/Ojdm3xLZYZUK/9lC3tXuTM5Rns378Y/urF22I9dapHvLk6tKlC5KTk+Hi4qJUFhIeAe/hww2Kb8nJHGha1W3OnDn46CPtbjSjC01927dnFwzpptvnQVuWnMwB4/YtsS1Wdw79n79rdzvEtnb8WIF3JjVdAvTh8Qo1t8BoYel/5MTyzJgxQ21Z0KJX4fbCRBSuelfnuJaezIGm1cqMeb22pr6dNdwdo3tWYssJ3a90sYa/c2P3LbEdVpfQf7up32zfolKZVufdg3zt8PYkT73qIEQT744d4Z38FbLmx6k8H97W05Ni4DN9uglaZv06+Hli5wJgeWJpu1/WAeD5bq6IGa56FUlCrJXVJXRjsoZv68T6tZ6pnr1kMWStJns5duyI3ls/ULUb0ULrddpXHypFbUNL2VMeAqydal0L9RCiC6tK6P/OfgyA+z9Iez6wPY6SOTG98D17jV5HwJSpRq/DEm2ZZfy/6ej+rkavgxBtWVVCv3CP+2S+Y54X7PRcyYgQQgixFFaV0MUcLpal7jaKhBBCiDWyqoTOlWd6CDHjWTpURgghxHZY5XXohrp4u97qbsxACCGEaGJVCd2N46tMliWWIvXfV7gNSgghhJiBVSX0ZztXcB7zX7mdsJxG64QQQqycdSX0cH+jxGXQNFq/dIMSOyGEEOv0RE6KU+dwOnA4vZQWmCEmc/WNNyCva7mzn4O/P8I+3MZpHacu67dcsjYs+TrsVd+UoU7Ssm6cnzsf66Zxe3+Ghz98z2m81p7U9QOI/qwuoY/oJcT5HA6vX1NhWWIp5kSWYlC/nkathzyZNC39Knn8GFlxTfeVdh89GiFx803YMuunaenXEpGcnQw7tLcLXh7iZLqGEWICVnXIHQCmDTXNiOBgli82fU+3TyXakcvliIiIwIQJE9RuU/bwYVOy1mIddwAQnTnDJndLl5eXBzs7O+zZs4fz2Nr07aPiCizTch13ALh0o8ZqrnQxZt8S22J1CR0AwgMkJqmnpEpuknqI9UtKSkJ2drbau2IV7PscRatX6RXbGpJ6t27dMHv2bCQkJEAkEnEau72+PXhehK0/yfSKbQ1J3Zh9S2yLVSb0hf8vwCT10EpyRBsymQwbNmxAVFQUBg8erFSed+UKKi5c0BgjMvkr9p8q1pDUV65ciZKSEuzatYuzmO31bXbOXWTc0fwFf+cCX/afKtaQ1I3Rt1yRikS4f/BrXH/nbVxZ+AquLf0b8j/9O+qKigyOXV0nx3eXxNhwtBxvJ5di7eEyJJ4V4UG57rfKbevGjRuYP38+nn76aTg6OsLLywv9+vVDfHy8wbHNxSoTOmD8O6Otm+xs1PjEdpw8eRJFRUWYO3euyvLqjz/SuL/7ire1qkdVUh85ciSCg4O12t/Y+vTpg4iICOzfvx9yueajW9q2u72+/fKSu8b9Fw7VbkKgqqRurX1rStLKStzekICSlBRISkvBNDaisboalRkZuLXx/1B986besatq5fjoRCXO59SjXCyHTA6I6xlcKZDg4xOVyPuvVO/Y33//Pfr374/k5GTcu3cPEokElZWVuHr1Kr755hu945qb1SZ0wHhJfWLvGvh5UUIn2klKSgKPx8O0adOUyrQZWYvaSfjN/F6crGvTTC42NhZFRUVITU3lJJ6mvtVmZP3lJe3m3Izp56hz20zN0L4t0mPEnBU3T+N7+P6hbyApbXod/Mb9P/TdvQdBbywGeDwwEgmK9u8DI1N9OmRZYqnG1/CH/4hRLm768hLVW4jNs7wxL8oNPB4glQHf/FYNmVzbWRMt8vPzMXfuXDQ0NMDDwwNJSUkoLi6GSCRCRkYGVqxYoXNMS2F1s9zb2rnAl9NDZptmuMPVmQ61E+0wDIO0tDT07NkTnp6eesdp+tDkAWqmdak7FG9phg0bBgA4c+YMxo4da1Asrvp2WWIpeAzA8FSXW8tlqob0bXp6OkaPHo3169dj1Sr95nK01VhTg8rMTAAAz94eAS+9BL6DA7yHDUNZWhrEN3MgKS2F6M8/4RERoVPs2gY5rhY0nUqxFwCTBrjA3o6HAV0dcfFWPfL+K0W5WI5bD6Xo3clBp9g7d+5EbW3TpaLbt29HXFwcWzZw4EAMHDhQp3iWxKpH6M12LvBFtw6GfzfZucAXrs66vTnIky0nJwfl5eXo37+/UlmazrOSlZM538nJapI5APbD8OLFiwbH0tS3X3yfoVMsVclcaM+zmmQOGNa3YWFhGDBgAFavXo0tW7Zw0p66wkLgr9G3o38H8B1aPjudOndif669c0fn2PfLGtE8+PZ1F8DeruUFDPBqud11QYnuh91TUlLYn/Py8tC7d28IhUIEBgZiyZIlKC+33qubrH6E3uzNaE8AwPojZRDV6XYY5pP5PuDx1Hx9J0SD+/fvAwD8/ZVXMfRIv2RQbGtK5M3c3NwgFArZfjGEpr69VtXFoNjWlMibGdK3rq6uOHXqFCZMmIA1a9aAYRisWbPGoPZIq6rYnwXOiqco+U4t1/hLRVXQVXV9y2e4s4PiZ7Ow1e/VOn7WA0BBQQH78wcffMD+/PDhQ+zduxfnzp1DRkYGnJ2t77SrVSV0qVQKqVTzN7L3pjVNkpFIJNhxsgFlYtUTSFZHy+Dj07RqVGOj+hmTzfW1V68xmKvuJ/E561tnWVkZAMDLy4u7hvB4iExKVvGw+i+dqsry8/PNMqnL29sbpaUtp8H0bbcx+pYH1VevWGvfAkBwcDAKCwt1irN27VpERkYiOjqafaw6Jwd5W1WP3tueR++9fUebLRi1v/LAQ+4jCT79WfUld21Pmb43XfH1VkrZCrF11/rvvF+/fvjxxx8BABMnTsTVq1dx48YNHDhwAEuXLtUjunlZVUI/ffq0Tt+aIhwAqFnpMT1dt7pbH6YxNXPVba5679Z2wufHc0xerz4J3emvkUhdXR0nbQhZuw7uPXqoLFN1OU1SUhIqKyuxfPlypTJDzjsboq6uTuHvVN92c923b413QUhH1avDWWvfAsD06dOVkrw62dnZyMrKgo+PD7p27WpQW+w9PNifZbW1CmWyVssZ23lovhJBFTdhS6qua1BM6XXSlt/dnHRP6X5+fnj48CEAYP78+ejUqen0wIIFC9jX+o8//tA5riWwqoQ+btw4uLvr/uYwhFQqRUpKCsaOHQt7e/snom5zP+fPj+cgpGtX8AWC9nfgUF2t7onDz88PADg773Zn0/sAVB9uV7WwSlpaGgoKCtQuumJqcrkcVVVVCAsLYx/Tt91c9+2un2sA1Kg83G6tfQs0TezSxoULFxAdHQ1fX1+kpqYiNDRUodytVy+l913zyFzV+9HOxQU8gQCMTIaGx48hl0jY8+j1rU4LOHcNQceODkr93jwyV/V6ODvyIOADMjlQWi2DtJFhz6M/qmg5ohrkp/vn06BBg3D8+HGlx5lWKzha4+F2wMoSur29vckTzJNctzmfM18ggIBv2jmbfIHu9YWFhYHP5yM3N5fTtmTFzUPXT3bCg8tD+SaQm5sLuVyOvn37GhzLWH27LLEUCVPs4eXp0f7GFsSQvs3MzMT48eMhFAqRmpqK8PBwg9sjcHaGx8BBqEy/BEYqxcOjR9Fh8mRUX7sG8a1bAAAHX1+49+mjc2wnBz4ighxwOV8CqQz48Y8ajO/njJsPpLjzuCmhe7vyERqg++fTK6+8wib0pKQk9pLI5OSW01zjxo3TOa4lsKqEToil8fT0RHh4ODIzM8EwjML51qohQw2aGHd3+TIA1jU5Lv2vc1lRUVEGx9LUt3098g2aGJfwgxSAdd1Z0ZC+7d69O6KiorBlyxZOvmw16zRrFmrv5EFSWoqS07+g5PQvbBnPwQFPv/oaeHoeaZs82BUFJZUoF8tx7kY9zt1ouSmXvQCYPdwNAr7uh9xjYmIQFxeH5ORkXLlyBZ07d1YonzJlCmJiYvRqs7nZxGVrhJjT5MmTUVVVhYwMxUupRi5Zwkn8rLh5kNQb9w6DXElJSYFAIMDEiRM5iaeubxdNHcRJ/GWJpahvMP0ETH0Y0rceHh44ceIEp8kcAOw9PdEjPgG+Y8bAwdcXPIEAdm5u8Bw4CKHr34NbT/3vWOnhzMfbEz0xvJcQ3q58CPiAiyMPEUEOWDHRE9066H/08MCBA9izZw/69+8PJycnODk5ITIyEjt37sTRo0et9qonGqETYqBFixZh48aNOHjwoMr1xrlw/fXX1M5+txS1tbU4duwYJk2ahIAAbu63YIq+ffdQ02VVljxaN0bfakObo0P27u7oPHceMFe3+w1o099uTnxMH+qK6UN1Ct0uPp+PxYsXY/HixdwGNjMaoRNioMDAQMTGxuLQoUOoqalRKOP0cLmK2642T9yyBEeOHIFYLNZq6Uxt262pb42dgK21b8mTixI6IRzYtGkTxGIxdu/erVTm/s47nNRhyefSGxsbsXnzZsTExGDEiBGcxtbUt4uGVXNShyWPzo3Zt8S2UEInhANdunRBcnIyXFxclMpCwiPgPXy4QfEtOZkDTau6zZkzBx99pN2NZnShqW/79uyCId0MW67ZkpM5YNy+JbaFzqETwpEZM2aoLQta9CrcXpiIwlXv6hzX0pM50LRamTGv19bUt7OGu2N0z0psOaH7PbItPZkDxu9bYjtohE6IiXh37NiUnLWcQfv0pBirSOaWoIOfJ3Yu8NV6KdDnu7laRTInRBc0QifExFrPVM9eshiyVpO9HDt2RO+tH6jajWih9Trtqw+VorahpewpDwHWTrWuhXoI0QUldELMKHzPXqPXEd3f1eh1WKIts4w/Ag+YMtXodRCiLTrkTgghhNgASuiEEEKIDaCETgghhNgASuiEEEKIDaCETgghhNgASuiEEEKIDaCETgghhNgASuiEEEKIDaCETgghhNgASuiEEEKIDaCETgghhNgASuiEEEKIDaCETgghhNgASuiEEEKIDaCETgghhNgASuiEEEKIDaCETgghhNgAO3M3QBsMwwAARCKRyeuWSqWora2FSCSCvb39E1G3uZ+zVCpFQ0MDBHzTft+UNEgAtLzfCCHEmlhFQq+urgYAdO7c2cwtIU+C6upqeHh4mLsZhBCiEx5jBcMRuVyOhw8fws3NDTwez9zNITaKYRhUV1cjICAAfBMfHSCEEENZRUInhBBCiGY0DCGEEEJsACV0QgghxAZQQieEEEJsACV0QgghxAZQQieEEEJsACV0QgghxAZQQieEEEJsACV0QgghxAZQQieEEEJsACV0QgghxAZQQieEEEJsACV0QgghxAZQQieEEEJsACV0QgghxAZQQieEEEJsACV0QgghxAZQQieEEEJsACV0QgghxAZQQieEEEJswP8HGeh5DKMubE0AAAAASUVORK5CYII=" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 1 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the blue player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 3 ]
{ "action": "INSTRUCTIONS:\nNow it's your turn to predict the next action of the other player. Please output your prediction in the following JSON format:\n```json\n{\n \"action\": \"<ACTION>\"\n}\n```\nwhere <ACTION> is one of the actions listed in the LEGAL ACTIONS section.", "image_path": [ 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" ], "observation": "GAME RULES:\n1. The Battle of the Colors is a general-sum game played on a 5x5 grid board with two players (red and blue) and two types of blocks (red and blue).\n2. Players receive rewards on different events:\n a. When both players are on a red block: red player +2 points, blue player +1 point, and the red block will be refreshed to a new random position.\n b. When both players are on a blue block: red player +1 point, blue player +2 points, and the blue block will be refreshed to a new random position.\n c. When players are on different blocks: both players +0 points, and both blocks will be refreshed to new random positions.\n\nPLAYER INFORMATION:\n1. You are the red player.\n2. The current game frame and a table of events and counters are shown in the image.\n3. The red and blue players are represented by red and blue pacman icons, respectively. The red and blue blocks are represented by red and blue rectangles, respectively. If both players are in the same position, they are represented by a half-red-half-blue pacman icon.\n\nOBJECTIVE:\nYou need to predict what action will the other player choose in this step.\n\nLEGAL ACTIONS:\nThe following are the legal actions the other player can choose from.\n1. <UP>: move one step upward.\n2. <DOWN>: move one step downward.\n3. <LEFT>: move one step left.\n4. <RIGHT>: move one step right.\n5. <STAY>: stay in the current position.", "system": "You are an AI agent that maximizes your score in the Battle of the Colors." }
{"0": "<STAY>", "1": "<RIGHT>", "2": "<LEFT>", "3": "<UP>", "4": "<DOWN>"}
[ 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>"}
[ 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>"}
[ 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>"}