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update to tech report version (#10)
* feat(run_eval): add checkpoint resume functionality and update example documentation; - update new bootcamp benchmark dataset * refactor(data_pipeline): optimize data generation pipeline; add multiple preset configurations for data generation * docs: update bootcamp list and add new scripts - Update Fulllist_InternBootcamp.md with new bootcamps and categories - Add new scripts to .gitignore: - examples/pipelines/filter_autogen_configs.py - examples/pipelines/quickgen_data_configs_from_eval_meta.py - Update dependencies in setup.py: - Add scipy and scikit-learn * refactor(internbootcamp): update bootcamp modules and improve error handling - Update import statements in __init__.py files - Add timestamp to target directory name in verl_data_preprocess.py - Improve error handling and scoring logic in bootcamp_judger.py - Remove unnecessary comments and update puzzle descriptions in multiple files
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 4x4 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [3, 0]\n- blue: Start at [0, 2], End at [3, 2]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [4, 4], "endpoints": {"red": [[0, 0], [3, 0]], "blue": [[0, 2], [3, 2]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 4x4 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [3, 0]\n- blue: Start at [0, 2], End at [3, 2]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [4, 4], "endpoints": {"red": [[0, 0], [3, 0]], "blue": [[0, 2], [3, 2]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 7x7 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [6, 1]\n- blue: Start at [0, 2], End at [6, 3]\n- green: Start at [0, 4], End at [6, 5]\n- yellow: Start at [0, 6], End at [6, 6]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [7, 7], "endpoints": {"red": [[0, 0], [6, 1]], "blue": [[0, 2], [6, 3]], "green": [[0, 4], [6, 5]], "yellow": [[0, 6], [6, 6]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5]], "yellow": [[0, 6], [1, 6], [2, 6], [3, 6], [4, 6], [5, 6], [6, 6]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 5x5 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [4, 1]\n- blue: Start at [0, 2], End at [4, 3]\n- green: Start at [0, 4], End at [4, 4]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [5, 5], "endpoints": {"red": [[0, 0], [4, 1]], "blue": [[0, 2], [4, 3]], "green": [[0, 4], [4, 4]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3]], "green": [[0, 4], [1, 4], [2, 4], [3, 4], [4, 4]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 5x5 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [4, 1]\n- blue: Start at [0, 2], End at [4, 3]\n- green: Start at [0, 4], End at [4, 4]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [5, 5], "endpoints": {"red": [[0, 0], [4, 1]], "blue": [[0, 2], [4, 3]], "green": [[0, 4], [4, 4]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3]], "green": [[0, 4], [1, 4], [2, 4], [3, 4], [4, 4]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 4x4 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [3, 0]\n- blue: Start at [0, 2], End at [3, 2]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [4, 4], "endpoints": {"red": [[0, 0], [3, 0]], "blue": [[0, 2], [3, 2]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 8x8 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [7, 0]\n- blue: Start at [0, 2], End at [7, 2]\n- green: Start at [0, 4], End at [7, 4]\n- yellow: Start at [0, 6], End at [7, 6]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [8, 8], "endpoints": {"red": [[0, 0], [7, 0]], "blue": [[0, 2], [7, 2]], "green": [[0, 4], [7, 4]], "yellow": [[0, 6], [7, 6]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1], [7, 1], [7, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3], [7, 3], [7, 2]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5], [7, 5], [7, 4]], "yellow": [[0, 6], [0, 7], [1, 7], [1, 6], [2, 6], [2, 7], [3, 7], [3, 6], [4, 6], [4, 7], [5, 7], [5, 6], [6, 6], [6, 7], [7, 7], [7, 6]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 7x7 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [6, 1]\n- blue: Start at [0, 2], End at [6, 3]\n- green: Start at [0, 4], End at [6, 5]\n- yellow: Start at [0, 6], End at [6, 6]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [7, 7], "endpoints": {"red": [[0, 0], [6, 1]], "blue": [[0, 2], [6, 3]], "green": [[0, 4], [6, 5]], "yellow": [[0, 6], [6, 6]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5]], "yellow": [[0, 6], [1, 6], [2, 6], [3, 6], [4, 6], [5, 6], [6, 6]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 5x5 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [4, 1]\n- blue: Start at [0, 2], End at [4, 3]\n- green: Start at [0, 4], End at [4, 4]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [5, 5], "endpoints": {"red": [[0, 0], [4, 1]], "blue": [[0, 2], [4, 3]], "green": [[0, 4], [4, 4]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3]], "green": [[0, 4], [1, 4], [2, 4], [3, 4], [4, 4]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 10x10 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [9, 0]\n- blue: Start at [0, 2], End at [9, 2]\n- green: Start at [0, 4], End at [9, 4]\n- yellow: Start at [0, 6], End at [9, 6]\n- purple: Start at [0, 8], End at [9, 8]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [10, 10], "endpoints": {"red": [[0, 0], [9, 0]], "blue": [[0, 2], [9, 2]], "green": [[0, 4], [9, 4]], "yellow": [[0, 6], [9, 6]], "purple": [[0, 8], [9, 8]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1], [7, 1], [7, 0], [8, 0], [8, 1], [9, 1], [9, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3], [7, 3], [7, 2], [8, 2], [8, 3], [9, 3], [9, 2]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5], [7, 5], [7, 4], [8, 4], [8, 5], [9, 5], [9, 4]], "yellow": [[0, 6], [0, 7], [1, 7], [1, 6], [2, 6], [2, 7], [3, 7], [3, 6], [4, 6], [4, 7], [5, 7], [5, 6], [6, 6], [6, 7], [7, 7], [7, 6], [8, 6], [8, 7], [9, 7], [9, 6]], "purple": [[0, 8], [0, 9], [1, 9], [1, 8], [2, 8], [2, 9], [3, 9], [3, 8], [4, 8], [4, 9], [5, 9], [5, 8], [6, 8], [6, 9], [7, 9], [7, 8], [8, 8], [8, 9], [9, 9], [9, 8]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 5x5 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [4, 1]\n- blue: Start at [0, 2], End at [4, 3]\n- green: Start at [0, 4], End at [4, 4]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [5, 5], "endpoints": {"red": [[0, 0], [4, 1]], "blue": [[0, 2], [4, 3]], "green": [[0, 4], [4, 4]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3]], "green": [[0, 4], [1, 4], [2, 4], [3, 4], [4, 4]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 7x7 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [6, 1]\n- blue: Start at [0, 2], End at [6, 3]\n- green: Start at [0, 4], End at [6, 5]\n- yellow: Start at [0, 6], End at [6, 6]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [7, 7], "endpoints": {"red": [[0, 0], [6, 1]], "blue": [[0, 2], [6, 3]], "green": [[0, 4], [6, 5]], "yellow": [[0, 6], [6, 6]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5]], "yellow": [[0, 6], [1, 6], [2, 6], [3, 6], [4, 6], [5, 6], [6, 6]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 7x7 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [6, 1]\n- blue: Start at [0, 2], End at [6, 3]\n- green: Start at [0, 4], End at [6, 5]\n- yellow: Start at [0, 6], End at [6, 6]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [7, 7], "endpoints": {"red": [[0, 0], [6, 1]], "blue": [[0, 2], [6, 3]], "green": [[0, 4], [6, 5]], "yellow": [[0, 6], [6, 6]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5]], "yellow": [[0, 6], [1, 6], [2, 6], [3, 6], [4, 6], [5, 6], [6, 6]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 4x4 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [3, 0]\n- blue: Start at [0, 2], End at [3, 2]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [4, 4], "endpoints": {"red": [[0, 0], [3, 0]], "blue": [[0, 2], [3, 2]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 4x4 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [3, 0]\n- blue: Start at [0, 2], End at [3, 2]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [4, 4], "endpoints": {"red": [[0, 0], [3, 0]], "blue": [[0, 2], [3, 2]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 5x5 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [4, 1]\n- blue: Start at [0, 2], End at [4, 3]\n- green: Start at [0, 4], End at [4, 4]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [5, 5], "endpoints": {"red": [[0, 0], [4, 1]], "blue": [[0, 2], [4, 3]], "green": [[0, 4], [4, 4]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3]], "green": [[0, 4], [1, 4], [2, 4], [3, 4], [4, 4]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 5x5 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [4, 1]\n- blue: Start at [0, 2], End at [4, 3]\n- green: Start at [0, 4], End at [4, 4]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [5, 5], "endpoints": {"red": [[0, 0], [4, 1]], "blue": [[0, 2], [4, 3]], "green": [[0, 4], [4, 4]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3]], "green": [[0, 4], [1, 4], [2, 4], [3, 4], [4, 4]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 8x8 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [7, 0]\n- blue: Start at [0, 2], End at [7, 2]\n- green: Start at [0, 4], End at [7, 4]\n- yellow: Start at [0, 6], End at [7, 6]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [8, 8], "endpoints": {"red": [[0, 0], [7, 0]], "blue": [[0, 2], [7, 2]], "green": [[0, 4], [7, 4]], "yellow": [[0, 6], [7, 6]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1], [7, 1], [7, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3], [7, 3], [7, 2]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5], [7, 5], [7, 4]], "yellow": [[0, 6], [0, 7], [1, 7], [1, 6], [2, 6], [2, 7], [3, 7], [3, 6], [4, 6], [4, 7], [5, 7], [5, 6], [6, 6], [6, 7], [7, 7], [7, 6]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 10x10 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [9, 0]\n- blue: Start at [0, 2], End at [9, 2]\n- green: Start at [0, 4], End at [9, 4]\n- yellow: Start at [0, 6], End at [9, 6]\n- purple: Start at [0, 8], End at [9, 8]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [10, 10], "endpoints": {"red": [[0, 0], [9, 0]], "blue": [[0, 2], [9, 2]], "green": [[0, 4], [9, 4]], "yellow": [[0, 6], [9, 6]], "purple": [[0, 8], [9, 8]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1], [7, 1], [7, 0], [8, 0], [8, 1], [9, 1], [9, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3], [7, 3], [7, 2], [8, 2], [8, 3], [9, 3], [9, 2]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5], [7, 5], [7, 4], [8, 4], [8, 5], [9, 5], [9, 4]], "yellow": [[0, 6], [0, 7], [1, 7], [1, 6], [2, 6], [2, 7], [3, 7], [3, 6], [4, 6], [4, 7], [5, 7], [5, 6], [6, 6], [6, 7], [7, 7], [7, 6], [8, 6], [8, 7], [9, 7], [9, 6]], "purple": [[0, 8], [0, 9], [1, 9], [1, 8], [2, 8], [2, 9], [3, 9], [3, 8], [4, 8], [4, 9], [5, 9], [5, 8], [6, 8], [6, 9], [7, 9], [7, 8], [8, 8], [8, 9], [9, 9], [9, 8]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 5x5 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [4, 1]\n- blue: Start at [0, 2], End at [4, 3]\n- green: Start at [0, 4], End at [4, 4]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [5, 5], "endpoints": {"red": [[0, 0], [4, 1]], "blue": [[0, 2], [4, 3]], "green": [[0, 4], [4, 4]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3]], "green": [[0, 4], [1, 4], [2, 4], [3, 4], [4, 4]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 8x8 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [7, 0]\n- blue: Start at [0, 2], End at [7, 2]\n- green: Start at [0, 4], End at [7, 4]\n- yellow: Start at [0, 6], End at [7, 6]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [8, 8], "endpoints": {"red": [[0, 0], [7, 0]], "blue": [[0, 2], [7, 2]], "green": [[0, 4], [7, 4]], "yellow": [[0, 6], [7, 6]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1], [7, 1], [7, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3], [7, 3], [7, 2]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5], [7, 5], [7, 4]], "yellow": [[0, 6], [0, 7], [1, 7], [1, 6], [2, 6], [2, 7], [3, 7], [3, 6], [4, 6], [4, 7], [5, 7], [5, 6], [6, 6], [6, 7], [7, 7], [7, 6]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 5x5 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [4, 1]\n- blue: Start at [0, 2], End at [4, 3]\n- green: Start at [0, 4], End at [4, 4]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [5, 5], "endpoints": {"red": [[0, 0], [4, 1]], "blue": [[0, 2], [4, 3]], "green": [[0, 4], [4, 4]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3]], "green": [[0, 4], [1, 4], [2, 4], [3, 4], [4, 4]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 10x10 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [9, 0]\n- blue: Start at [0, 2], End at [9, 2]\n- green: Start at [0, 4], End at [9, 4]\n- yellow: Start at [0, 6], End at [9, 6]\n- purple: Start at [0, 8], End at [9, 8]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [10, 10], "endpoints": {"red": [[0, 0], [9, 0]], "blue": [[0, 2], [9, 2]], "green": [[0, 4], [9, 4]], "yellow": [[0, 6], [9, 6]], "purple": [[0, 8], [9, 8]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1], [7, 1], [7, 0], [8, 0], [8, 1], [9, 1], [9, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3], [7, 3], [7, 2], [8, 2], [8, 3], [9, 3], [9, 2]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5], [7, 5], [7, 4], [8, 4], [8, 5], [9, 5], [9, 4]], "yellow": [[0, 6], [0, 7], [1, 7], [1, 6], [2, 6], [2, 7], [3, 7], [3, 6], [4, 6], [4, 7], [5, 7], [5, 6], [6, 6], [6, 7], [7, 7], [7, 6], [8, 6], [8, 7], [9, 7], [9, 6]], "purple": [[0, 8], [0, 9], [1, 9], [1, 8], [2, 8], [2, 9], [3, 9], [3, 8], [4, 8], [4, 9], [5, 9], [5, 8], [6, 8], [6, 9], [7, 9], [7, 8], [8, 8], [8, 9], [9, 9], [9, 8]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 8x8 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [7, 0]\n- blue: Start at [0, 2], End at [7, 2]\n- green: Start at [0, 4], End at [7, 4]\n- yellow: Start at [0, 6], End at [7, 6]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [8, 8], "endpoints": {"red": [[0, 0], [7, 0]], "blue": [[0, 2], [7, 2]], "green": [[0, 4], [7, 4]], "yellow": [[0, 6], [7, 6]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1], [7, 1], [7, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3], [7, 3], [7, 2]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5], [7, 5], [7, 4]], "yellow": [[0, 6], [0, 7], [1, 7], [1, 6], [2, 6], [2, 7], [3, 7], [3, 6], [4, 6], [4, 7], [5, 7], [5, 6], [6, 6], [6, 7], [7, 7], [7, 6]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 4x4 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [3, 0]\n- blue: Start at [0, 2], End at [3, 2]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [4, 4], "endpoints": {"red": [[0, 0], [3, 0]], "blue": [[0, 2], [3, 2]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 5x5 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [4, 1]\n- blue: Start at [0, 2], End at [4, 3]\n- green: Start at [0, 4], End at [4, 4]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [5, 5], "endpoints": {"red": [[0, 0], [4, 1]], "blue": [[0, 2], [4, 3]], "green": [[0, 4], [4, 4]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3]], "green": [[0, 4], [1, 4], [2, 4], [3, 4], [4, 4]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 10x10 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [9, 0]\n- blue: Start at [0, 2], End at [9, 2]\n- green: Start at [0, 4], End at [9, 4]\n- yellow: Start at [0, 6], End at [9, 6]\n- purple: Start at [0, 8], End at [9, 8]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [10, 10], "endpoints": {"red": [[0, 0], [9, 0]], "blue": [[0, 2], [9, 2]], "green": [[0, 4], [9, 4]], "yellow": [[0, 6], [9, 6]], "purple": [[0, 8], [9, 8]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1], [7, 1], [7, 0], [8, 0], [8, 1], [9, 1], [9, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3], [7, 3], [7, 2], [8, 2], [8, 3], [9, 3], [9, 2]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5], [7, 5], [7, 4], [8, 4], [8, 5], [9, 5], [9, 4]], "yellow": [[0, 6], [0, 7], [1, 7], [1, 6], [2, 6], [2, 7], [3, 7], [3, 6], [4, 6], [4, 7], [5, 7], [5, 6], [6, 6], [6, 7], [7, 7], [7, 6], [8, 6], [8, 7], [9, 7], [9, 6]], "purple": [[0, 8], [0, 9], [1, 9], [1, 8], [2, 8], [2, 9], [3, 9], [3, 8], [4, 8], [4, 9], [5, 9], [5, 8], [6, 8], [6, 9], [7, 9], [7, 8], [8, 8], [8, 9], [9, 9], [9, 8]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 10x10 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [9, 0]\n- blue: Start at [0, 2], End at [9, 2]\n- green: Start at [0, 4], End at [9, 4]\n- yellow: Start at [0, 6], End at [9, 6]\n- purple: Start at [0, 8], End at [9, 8]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [10, 10], "endpoints": {"red": [[0, 0], [9, 0]], "blue": [[0, 2], [9, 2]], "green": [[0, 4], [9, 4]], "yellow": [[0, 6], [9, 6]], "purple": [[0, 8], [9, 8]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1], [7, 1], [7, 0], [8, 0], [8, 1], [9, 1], [9, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3], [7, 3], [7, 2], [8, 2], [8, 3], [9, 3], [9, 2]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5], [7, 5], [7, 4], [8, 4], [8, 5], [9, 5], [9, 4]], "yellow": [[0, 6], [0, 7], [1, 7], [1, 6], [2, 6], [2, 7], [3, 7], [3, 6], [4, 6], [4, 7], [5, 7], [5, 6], [6, 6], [6, 7], [7, 7], [7, 6], [8, 6], [8, 7], [9, 7], [9, 6]], "purple": [[0, 8], [0, 9], [1, 9], [1, 8], [2, 8], [2, 9], [3, 9], [3, 8], [4, 8], [4, 9], [5, 9], [5, 8], [6, 8], [6, 9], [7, 9], [7, 8], [8, 8], [8, 9], [9, 9], [9, 8]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 8x8 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [7, 0]\n- blue: Start at [0, 2], End at [7, 2]\n- green: Start at [0, 4], End at [7, 4]\n- yellow: Start at [0, 6], End at [7, 6]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [8, 8], "endpoints": {"red": [[0, 0], [7, 0]], "blue": [[0, 2], [7, 2]], "green": [[0, 4], [7, 4]], "yellow": [[0, 6], [7, 6]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1], [7, 1], [7, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3], [7, 3], [7, 2]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5], [7, 5], [7, 4]], "yellow": [[0, 6], [0, 7], [1, 7], [1, 6], [2, 6], [2, 7], [3, 7], [3, 6], [4, 6], [4, 7], [5, 7], [5, 6], [6, 6], [6, 7], [7, 7], [7, 6]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 5x5 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [4, 1]\n- blue: Start at [0, 2], End at [4, 3]\n- green: Start at [0, 4], End at [4, 4]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [5, 5], "endpoints": {"red": [[0, 0], [4, 1]], "blue": [[0, 2], [4, 3]], "green": [[0, 4], [4, 4]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3]], "green": [[0, 4], [1, 4], [2, 4], [3, 4], [4, 4]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 7x7 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [6, 1]\n- blue: Start at [0, 2], End at [6, 3]\n- green: Start at [0, 4], End at [6, 5]\n- yellow: Start at [0, 6], End at [6, 6]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [7, 7], "endpoints": {"red": [[0, 0], [6, 1]], "blue": [[0, 2], [6, 3]], "green": [[0, 4], [6, 5]], "yellow": [[0, 6], [6, 6]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5]], "yellow": [[0, 6], [1, 6], [2, 6], [3, 6], [4, 6], [5, 6], [6, 6]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 8x8 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [7, 0]\n- blue: Start at [0, 2], End at [7, 2]\n- green: Start at [0, 4], End at [7, 4]\n- yellow: Start at [0, 6], End at [7, 6]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [8, 8], "endpoints": {"red": [[0, 0], [7, 0]], "blue": [[0, 2], [7, 2]], "green": [[0, 4], [7, 4]], "yellow": [[0, 6], [7, 6]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1], [7, 1], [7, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3], [7, 3], [7, 2]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5], [7, 5], [7, 4]], "yellow": [[0, 6], [0, 7], [1, 7], [1, 6], [2, 6], [2, 7], [3, 7], [3, 6], [4, 6], [4, 7], [5, 7], [5, 6], [6, 6], [6, 7], [7, 7], [7, 6]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 4x4 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [3, 0]\n- blue: Start at [0, 2], End at [3, 2]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [4, 4], "endpoints": {"red": [[0, 0], [3, 0]], "blue": [[0, 2], [3, 2]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 7x7 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [6, 1]\n- blue: Start at [0, 2], End at [6, 3]\n- green: Start at [0, 4], End at [6, 5]\n- yellow: Start at [0, 6], End at [6, 6]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [7, 7], "endpoints": {"red": [[0, 0], [6, 1]], "blue": [[0, 2], [6, 3]], "green": [[0, 4], [6, 5]], "yellow": [[0, 6], [6, 6]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5]], "yellow": [[0, 6], [1, 6], [2, 6], [3, 6], [4, 6], [5, 6], [6, 6]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 10x10 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [9, 0]\n- blue: Start at [0, 2], End at [9, 2]\n- green: Start at [0, 4], End at [9, 4]\n- yellow: Start at [0, 6], End at [9, 6]\n- purple: Start at [0, 8], End at [9, 8]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [10, 10], "endpoints": {"red": [[0, 0], [9, 0]], "blue": [[0, 2], [9, 2]], "green": [[0, 4], [9, 4]], "yellow": [[0, 6], [9, 6]], "purple": [[0, 8], [9, 8]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1], [7, 1], [7, 0], [8, 0], [8, 1], [9, 1], [9, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3], [7, 3], [7, 2], [8, 2], [8, 3], [9, 3], [9, 2]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5], [7, 5], [7, 4], [8, 4], [8, 5], [9, 5], [9, 4]], "yellow": [[0, 6], [0, 7], [1, 7], [1, 6], [2, 6], [2, 7], [3, 7], [3, 6], [4, 6], [4, 7], [5, 7], [5, 6], [6, 6], [6, 7], [7, 7], [7, 6], [8, 6], [8, 7], [9, 7], [9, 6]], "purple": [[0, 8], [0, 9], [1, 9], [1, 8], [2, 8], [2, 9], [3, 9], [3, 8], [4, 8], [4, 9], [5, 9], [5, 8], [6, 8], [6, 9], [7, 9], [7, 8], [8, 8], [8, 9], [9, 9], [9, 8]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 7x7 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [6, 1]\n- blue: Start at [0, 2], End at [6, 3]\n- green: Start at [0, 4], End at [6, 5]\n- yellow: Start at [0, 6], End at [6, 6]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [7, 7], "endpoints": {"red": [[0, 0], [6, 1]], "blue": [[0, 2], [6, 3]], "green": [[0, 4], [6, 5]], "yellow": [[0, 6], [6, 6]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5]], "yellow": [[0, 6], [1, 6], [2, 6], [3, 6], [4, 6], [5, 6], [6, 6]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 8x8 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [7, 0]\n- blue: Start at [0, 2], End at [7, 2]\n- green: Start at [0, 4], End at [7, 4]\n- yellow: Start at [0, 6], End at [7, 6]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [8, 8], "endpoints": {"red": [[0, 0], [7, 0]], "blue": [[0, 2], [7, 2]], "green": [[0, 4], [7, 4]], "yellow": [[0, 6], [7, 6]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1], [7, 1], [7, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3], [7, 3], [7, 2]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5], [7, 5], [7, 4]], "yellow": [[0, 6], [0, 7], [1, 7], [1, 6], [2, 6], [2, 7], [3, 7], [3, 6], [4, 6], [4, 7], [5, 7], [5, 6], [6, 6], [6, 7], [7, 7], [7, 6]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 5x5 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [4, 1]\n- blue: Start at [0, 2], End at [4, 3]\n- green: Start at [0, 4], End at [4, 4]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [5, 5], "endpoints": {"red": [[0, 0], [4, 1]], "blue": [[0, 2], [4, 3]], "green": [[0, 4], [4, 4]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3]], "green": [[0, 4], [1, 4], [2, 4], [3, 4], [4, 4]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 7x7 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [6, 1]\n- blue: Start at [0, 2], End at [6, 3]\n- green: Start at [0, 4], End at [6, 5]\n- yellow: Start at [0, 6], End at [6, 6]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [7, 7], "endpoints": {"red": [[0, 0], [6, 1]], "blue": [[0, 2], [6, 3]], "green": [[0, 4], [6, 5]], "yellow": [[0, 6], [6, 6]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5]], "yellow": [[0, 6], [1, 6], [2, 6], [3, 6], [4, 6], [5, 6], [6, 6]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 5x5 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [4, 1]\n- blue: Start at [0, 2], End at [4, 3]\n- green: Start at [0, 4], End at [4, 4]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [5, 5], "endpoints": {"red": [[0, 0], [4, 1]], "blue": [[0, 2], [4, 3]], "green": [[0, 4], [4, 4]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3]], "green": [[0, 4], [1, 4], [2, 4], [3, 4], [4, 4]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 10x10 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [9, 0]\n- blue: Start at [0, 2], End at [9, 2]\n- green: Start at [0, 4], End at [9, 4]\n- yellow: Start at [0, 6], End at [9, 6]\n- purple: Start at [0, 8], End at [9, 8]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [10, 10], "endpoints": {"red": [[0, 0], [9, 0]], "blue": [[0, 2], [9, 2]], "green": [[0, 4], [9, 4]], "yellow": [[0, 6], [9, 6]], "purple": [[0, 8], [9, 8]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1], [7, 1], [7, 0], [8, 0], [8, 1], [9, 1], [9, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3], [7, 3], [7, 2], [8, 2], [8, 3], [9, 3], [9, 2]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5], [7, 5], [7, 4], [8, 4], [8, 5], [9, 5], [9, 4]], "yellow": [[0, 6], [0, 7], [1, 7], [1, 6], [2, 6], [2, 7], [3, 7], [3, 6], [4, 6], [4, 7], [5, 7], [5, 6], [6, 6], [6, 7], [7, 7], [7, 6], [8, 6], [8, 7], [9, 7], [9, 6]], "purple": [[0, 8], [0, 9], [1, 9], [1, 8], [2, 8], [2, 9], [3, 9], [3, 8], [4, 8], [4, 9], [5, 9], [5, 8], [6, 8], [6, 9], [7, 9], [7, 8], [8, 8], [8, 9], [9, 9], [9, 8]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 7x7 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [6, 1]\n- blue: Start at [0, 2], End at [6, 3]\n- green: Start at [0, 4], End at [6, 5]\n- yellow: Start at [0, 6], End at [6, 6]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [7, 7], "endpoints": {"red": [[0, 0], [6, 1]], "blue": [[0, 2], [6, 3]], "green": [[0, 4], [6, 5]], "yellow": [[0, 6], [6, 6]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5]], "yellow": [[0, 6], [1, 6], [2, 6], [3, 6], [4, 6], [5, 6], [6, 6]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 7x7 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [6, 1]\n- blue: Start at [0, 2], End at [6, 3]\n- green: Start at [0, 4], End at [6, 5]\n- yellow: Start at [0, 6], End at [6, 6]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [7, 7], "endpoints": {"red": [[0, 0], [6, 1]], "blue": [[0, 2], [6, 3]], "green": [[0, 4], [6, 5]], "yellow": [[0, 6], [6, 6]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5]], "yellow": [[0, 6], [1, 6], [2, 6], [3, 6], [4, 6], [5, 6], [6, 6]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 8x8 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [7, 0]\n- blue: Start at [0, 2], End at [7, 2]\n- green: Start at [0, 4], End at [7, 4]\n- yellow: Start at [0, 6], End at [7, 6]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [8, 8], "endpoints": {"red": [[0, 0], [7, 0]], "blue": [[0, 2], [7, 2]], "green": [[0, 4], [7, 4]], "yellow": [[0, 6], [7, 6]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1], [7, 1], [7, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3], [7, 3], [7, 2]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5], [7, 5], [7, 4]], "yellow": [[0, 6], [0, 7], [1, 7], [1, 6], [2, 6], [2, 7], [3, 7], [3, 6], [4, 6], [4, 7], [5, 7], [5, 6], [6, 6], [6, 7], [7, 7], [7, 6]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 8x8 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [7, 0]\n- blue: Start at [0, 2], End at [7, 2]\n- green: Start at [0, 4], End at [7, 4]\n- yellow: Start at [0, 6], End at [7, 6]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [8, 8], "endpoints": {"red": [[0, 0], [7, 0]], "blue": [[0, 2], [7, 2]], "green": [[0, 4], [7, 4]], "yellow": [[0, 6], [7, 6]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1], [7, 1], [7, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3], [7, 3], [7, 2]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5], [7, 5], [7, 4]], "yellow": [[0, 6], [0, 7], [1, 7], [1, 6], [2, 6], [2, 7], [3, 7], [3, 6], [4, 6], [4, 7], [5, 7], [5, 6], [6, 6], [6, 7], [7, 7], [7, 6]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 10x10 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [9, 0]\n- blue: Start at [0, 2], End at [9, 2]\n- green: Start at [0, 4], End at [9, 4]\n- yellow: Start at [0, 6], End at [9, 6]\n- purple: Start at [0, 8], End at [9, 8]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [10, 10], "endpoints": {"red": [[0, 0], [9, 0]], "blue": [[0, 2], [9, 2]], "green": [[0, 4], [9, 4]], "yellow": [[0, 6], [9, 6]], "purple": [[0, 8], [9, 8]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1], [7, 1], [7, 0], [8, 0], [8, 1], [9, 1], [9, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3], [7, 3], [7, 2], [8, 2], [8, 3], [9, 3], [9, 2]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5], [7, 5], [7, 4], [8, 4], [8, 5], [9, 5], [9, 4]], "yellow": [[0, 6], [0, 7], [1, 7], [1, 6], [2, 6], [2, 7], [3, 7], [3, 6], [4, 6], [4, 7], [5, 7], [5, 6], [6, 6], [6, 7], [7, 7], [7, 6], [8, 6], [8, 7], [9, 7], [9, 6]], "purple": [[0, 8], [0, 9], [1, 9], [1, 8], [2, 8], [2, 9], [3, 9], [3, 8], [4, 8], [4, 9], [5, 9], [5, 8], [6, 8], [6, 9], [7, 9], [7, 8], [8, 8], [8, 9], [9, 9], [9, 8]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 8x8 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [7, 0]\n- blue: Start at [0, 2], End at [7, 2]\n- green: Start at [0, 4], End at [7, 4]\n- yellow: Start at [0, 6], End at [7, 6]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [8, 8], "endpoints": {"red": [[0, 0], [7, 0]], "blue": [[0, 2], [7, 2]], "green": [[0, 4], [7, 4]], "yellow": [[0, 6], [7, 6]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1], [7, 1], [7, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3], [7, 3], [7, 2]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5], [7, 5], [7, 4]], "yellow": [[0, 6], [0, 7], [1, 7], [1, 6], [2, 6], [2, 7], [3, 7], [3, 6], [4, 6], [4, 7], [5, 7], [5, 6], [6, 6], [6, 7], [7, 7], [7, 6]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 4x4 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [3, 0]\n- blue: Start at [0, 2], End at [3, 2]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [4, 4], "endpoints": {"red": [[0, 0], [3, 0]], "blue": [[0, 2], [3, 2]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 8x8 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [7, 0]\n- blue: Start at [0, 2], End at [7, 2]\n- green: Start at [0, 4], End at [7, 4]\n- yellow: Start at [0, 6], End at [7, 6]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [8, 8], "endpoints": {"red": [[0, 0], [7, 0]], "blue": [[0, 2], [7, 2]], "green": [[0, 4], [7, 4]], "yellow": [[0, 6], [7, 6]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1], [7, 1], [7, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3], [7, 3], [7, 2]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5], [7, 5], [7, 4]], "yellow": [[0, 6], [0, 7], [1, 7], [1, 6], [2, 6], [2, 7], [3, 7], [3, 6], [4, 6], [4, 7], [5, 7], [5, 6], [6, 6], [6, 7], [7, 7], [7, 6]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 10x10 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [9, 0]\n- blue: Start at [0, 2], End at [9, 2]\n- green: Start at [0, 4], End at [9, 4]\n- yellow: Start at [0, 6], End at [9, 6]\n- purple: Start at [0, 8], End at [9, 8]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [10, 10], "endpoints": {"red": [[0, 0], [9, 0]], "blue": [[0, 2], [9, 2]], "green": [[0, 4], [9, 4]], "yellow": [[0, 6], [9, 6]], "purple": [[0, 8], [9, 8]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1], [7, 1], [7, 0], [8, 0], [8, 1], [9, 1], [9, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3], [7, 3], [7, 2], [8, 2], [8, 3], [9, 3], [9, 2]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5], [7, 5], [7, 4], [8, 4], [8, 5], [9, 5], [9, 4]], "yellow": [[0, 6], [0, 7], [1, 7], [1, 6], [2, 6], [2, 7], [3, 7], [3, 6], [4, 6], [4, 7], [5, 7], [5, 6], [6, 6], [6, 7], [7, 7], [7, 6], [8, 6], [8, 7], [9, 7], [9, 6]], "purple": [[0, 8], [0, 9], [1, 9], [1, 8], [2, 8], [2, 9], [3, 9], [3, 8], [4, 8], [4, 9], [5, 9], [5, 8], [6, 8], [6, 9], [7, 9], [7, 8], [8, 8], [8, 9], [9, 9], [9, 8]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 10x10 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [9, 0]\n- blue: Start at [0, 2], End at [9, 2]\n- green: Start at [0, 4], End at [9, 4]\n- yellow: Start at [0, 6], End at [9, 6]\n- purple: Start at [0, 8], End at [9, 8]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [10, 10], "endpoints": {"red": [[0, 0], [9, 0]], "blue": [[0, 2], [9, 2]], "green": [[0, 4], [9, 4]], "yellow": [[0, 6], [9, 6]], "purple": [[0, 8], [9, 8]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1], [7, 1], [7, 0], [8, 0], [8, 1], [9, 1], [9, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3], [7, 3], [7, 2], [8, 2], [8, 3], [9, 3], [9, 2]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5], [7, 5], [7, 4], [8, 4], [8, 5], [9, 5], [9, 4]], "yellow": [[0, 6], [0, 7], [1, 7], [1, 6], [2, 6], [2, 7], [3, 7], [3, 6], [4, 6], [4, 7], [5, 7], [5, 6], [6, 6], [6, 7], [7, 7], [7, 6], [8, 6], [8, 7], [9, 7], [9, 6]], "purple": [[0, 8], [0, 9], [1, 9], [1, 8], [2, 8], [2, 9], [3, 9], [3, 8], [4, 8], [4, 9], [5, 9], [5, 8], [6, 8], [6, 9], [7, 9], [7, 8], [8, 8], [8, 9], [9, 9], [9, 8]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 8x8 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [7, 0]\n- blue: Start at [0, 2], End at [7, 2]\n- green: Start at [0, 4], End at [7, 4]\n- yellow: Start at [0, 6], End at [7, 6]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [8, 8], "endpoints": {"red": [[0, 0], [7, 0]], "blue": [[0, 2], [7, 2]], "green": [[0, 4], [7, 4]], "yellow": [[0, 6], [7, 6]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1], [7, 1], [7, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3], [7, 3], [7, 2]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5], [7, 5], [7, 4]], "yellow": [[0, 6], [0, 7], [1, 7], [1, 6], [2, 6], [2, 7], [3, 7], [3, 6], [4, 6], [4, 7], [5, 7], [5, 6], [6, 6], [6, 7], [7, 7], [7, 6]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 7x7 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [6, 1]\n- blue: Start at [0, 2], End at [6, 3]\n- green: Start at [0, 4], End at [6, 5]\n- yellow: Start at [0, 6], End at [6, 6]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [7, 7], "endpoints": {"red": [[0, 0], [6, 1]], "blue": [[0, 2], [6, 3]], "green": [[0, 4], [6, 5]], "yellow": [[0, 6], [6, 6]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5]], "yellow": [[0, 6], [1, 6], [2, 6], [3, 6], [4, 6], [5, 6], [6, 6]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 10x10 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [9, 0]\n- blue: Start at [0, 2], End at [9, 2]\n- green: Start at [0, 4], End at [9, 4]\n- yellow: Start at [0, 6], End at [9, 6]\n- purple: Start at [0, 8], End at [9, 8]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [10, 10], "endpoints": {"red": [[0, 0], [9, 0]], "blue": [[0, 2], [9, 2]], "green": [[0, 4], [9, 4]], "yellow": [[0, 6], [9, 6]], "purple": [[0, 8], [9, 8]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1], [7, 1], [7, 0], [8, 0], [8, 1], [9, 1], [9, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3], [7, 3], [7, 2], [8, 2], [8, 3], [9, 3], [9, 2]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5], [7, 5], [7, 4], [8, 4], [8, 5], [9, 5], [9, 4]], "yellow": [[0, 6], [0, 7], [1, 7], [1, 6], [2, 6], [2, 7], [3, 7], [3, 6], [4, 6], [4, 7], [5, 7], [5, 6], [6, 6], [6, 7], [7, 7], [7, 6], [8, 6], [8, 7], [9, 7], [9, 6]], "purple": [[0, 8], [0, 9], [1, 9], [1, 8], [2, 8], [2, 9], [3, 9], [3, 8], [4, 8], [4, 9], [5, 9], [5, 8], [6, 8], [6, 9], [7, 9], [7, 8], [8, 8], [8, 9], [9, 9], [9, 8]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 4x4 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [3, 0]\n- blue: Start at [0, 2], End at [3, 2]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [4, 4], "endpoints": {"red": [[0, 0], [3, 0]], "blue": [[0, 2], [3, 2]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 8x8 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [7, 0]\n- blue: Start at [0, 2], End at [7, 2]\n- green: Start at [0, 4], End at [7, 4]\n- yellow: Start at [0, 6], End at [7, 6]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [8, 8], "endpoints": {"red": [[0, 0], [7, 0]], "blue": [[0, 2], [7, 2]], "green": [[0, 4], [7, 4]], "yellow": [[0, 6], [7, 6]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1], [7, 1], [7, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3], [7, 3], [7, 2]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5], [7, 5], [7, 4]], "yellow": [[0, 6], [0, 7], [1, 7], [1, 6], [2, 6], [2, 7], [3, 7], [3, 6], [4, 6], [4, 7], [5, 7], [5, 6], [6, 6], [6, 7], [7, 7], [7, 6]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 10x10 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [9, 0]\n- blue: Start at [0, 2], End at [9, 2]\n- green: Start at [0, 4], End at [9, 4]\n- yellow: Start at [0, 6], End at [9, 6]\n- purple: Start at [0, 8], End at [9, 8]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [10, 10], "endpoints": {"red": [[0, 0], [9, 0]], "blue": [[0, 2], [9, 2]], "green": [[0, 4], [9, 4]], "yellow": [[0, 6], [9, 6]], "purple": [[0, 8], [9, 8]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1], [7, 1], [7, 0], [8, 0], [8, 1], [9, 1], [9, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3], [7, 3], [7, 2], [8, 2], [8, 3], [9, 3], [9, 2]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5], [7, 5], [7, 4], [8, 4], [8, 5], [9, 5], [9, 4]], "yellow": [[0, 6], [0, 7], [1, 7], [1, 6], [2, 6], [2, 7], [3, 7], [3, 6], [4, 6], [4, 7], [5, 7], [5, 6], [6, 6], [6, 7], [7, 7], [7, 6], [8, 6], [8, 7], [9, 7], [9, 6]], "purple": [[0, 8], [0, 9], [1, 9], [1, 8], [2, 8], [2, 9], [3, 9], [3, 8], [4, 8], [4, 9], [5, 9], [5, 8], [6, 8], [6, 9], [7, 9], [7, 8], [8, 8], [8, 9], [9, 9], [9, 8]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 10x10 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [9, 0]\n- blue: Start at [0, 2], End at [9, 2]\n- green: Start at [0, 4], End at [9, 4]\n- yellow: Start at [0, 6], End at [9, 6]\n- purple: Start at [0, 8], End at [9, 8]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [10, 10], "endpoints": {"red": [[0, 0], [9, 0]], "blue": [[0, 2], [9, 2]], "green": [[0, 4], [9, 4]], "yellow": [[0, 6], [9, 6]], "purple": [[0, 8], [9, 8]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1], [7, 1], [7, 0], [8, 0], [8, 1], [9, 1], [9, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3], [7, 3], [7, 2], [8, 2], [8, 3], [9, 3], [9, 2]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5], [7, 5], [7, 4], [8, 4], [8, 5], [9, 5], [9, 4]], "yellow": [[0, 6], [0, 7], [1, 7], [1, 6], [2, 6], [2, 7], [3, 7], [3, 6], [4, 6], [4, 7], [5, 7], [5, 6], [6, 6], [6, 7], [7, 7], [7, 6], [8, 6], [8, 7], [9, 7], [9, 6]], "purple": [[0, 8], [0, 9], [1, 9], [1, 8], [2, 8], [2, 9], [3, 9], [3, 8], [4, 8], [4, 9], [5, 9], [5, 8], [6, 8], [6, 9], [7, 9], [7, 8], [8, 8], [8, 9], [9, 9], [9, 8]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 4x4 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [3, 0]\n- blue: Start at [0, 2], End at [3, 2]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [4, 4], "endpoints": {"red": [[0, 0], [3, 0]], "blue": [[0, 2], [3, 2]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 8x8 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [7, 0]\n- blue: Start at [0, 2], End at [7, 2]\n- green: Start at [0, 4], End at [7, 4]\n- yellow: Start at [0, 6], End at [7, 6]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [8, 8], "endpoints": {"red": [[0, 0], [7, 0]], "blue": [[0, 2], [7, 2]], "green": [[0, 4], [7, 4]], "yellow": [[0, 6], [7, 6]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1], [7, 1], [7, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3], [7, 3], [7, 2]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5], [7, 5], [7, 4]], "yellow": [[0, 6], [0, 7], [1, 7], [1, 6], [2, 6], [2, 7], [3, 7], [3, 6], [4, 6], [4, 7], [5, 7], [5, 6], [6, 6], [6, 7], [7, 7], [7, 6]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 8x8 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [7, 0]\n- blue: Start at [0, 2], End at [7, 2]\n- green: Start at [0, 4], End at [7, 4]\n- yellow: Start at [0, 6], End at [7, 6]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [8, 8], "endpoints": {"red": [[0, 0], [7, 0]], "blue": [[0, 2], [7, 2]], "green": [[0, 4], [7, 4]], "yellow": [[0, 6], [7, 6]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1], [7, 1], [7, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3], [7, 3], [7, 2]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5], [7, 5], [7, 4]], "yellow": [[0, 6], [0, 7], [1, 7], [1, 6], [2, 6], [2, 7], [3, 7], [3, 6], [4, 6], [4, 7], [5, 7], [5, 6], [6, 6], [6, 7], [7, 7], [7, 6]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 7x7 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [6, 1]\n- blue: Start at [0, 2], End at [6, 3]\n- green: Start at [0, 4], End at [6, 5]\n- yellow: Start at [0, 6], End at [6, 6]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [7, 7], "endpoints": {"red": [[0, 0], [6, 1]], "blue": [[0, 2], [6, 3]], "green": [[0, 4], [6, 5]], "yellow": [[0, 6], [6, 6]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5]], "yellow": [[0, 6], [1, 6], [2, 6], [3, 6], [4, 6], [5, 6], [6, 6]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 5x5 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [4, 1]\n- blue: Start at [0, 2], End at [4, 3]\n- green: Start at [0, 4], End at [4, 4]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [5, 5], "endpoints": {"red": [[0, 0], [4, 1]], "blue": [[0, 2], [4, 3]], "green": [[0, 4], [4, 4]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3]], "green": [[0, 4], [1, 4], [2, 4], [3, 4], [4, 4]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 5x5 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [4, 1]\n- blue: Start at [0, 2], End at [4, 3]\n- green: Start at [0, 4], End at [4, 4]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [5, 5], "endpoints": {"red": [[0, 0], [4, 1]], "blue": [[0, 2], [4, 3]], "green": [[0, 4], [4, 4]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3]], "green": [[0, 4], [1, 4], [2, 4], [3, 4], [4, 4]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 8x8 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [7, 0]\n- blue: Start at [0, 2], End at [7, 2]\n- green: Start at [0, 4], End at [7, 4]\n- yellow: Start at [0, 6], End at [7, 6]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [8, 8], "endpoints": {"red": [[0, 0], [7, 0]], "blue": [[0, 2], [7, 2]], "green": [[0, 4], [7, 4]], "yellow": [[0, 6], [7, 6]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1], [7, 1], [7, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3], [7, 3], [7, 2]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5], [7, 5], [7, 4]], "yellow": [[0, 6], [0, 7], [1, 7], [1, 6], [2, 6], [2, 7], [3, 7], [3, 6], [4, 6], [4, 7], [5, 7], [5, 6], [6, 6], [6, 7], [7, 7], [7, 6]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 5x5 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [4, 1]\n- blue: Start at [0, 2], End at [4, 3]\n- green: Start at [0, 4], End at [4, 4]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [5, 5], "endpoints": {"red": [[0, 0], [4, 1]], "blue": [[0, 2], [4, 3]], "green": [[0, 4], [4, 4]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3]], "green": [[0, 4], [1, 4], [2, 4], [3, 4], [4, 4]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 4x4 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [3, 0]\n- blue: Start at [0, 2], End at [3, 2]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [4, 4], "endpoints": {"red": [[0, 0], [3, 0]], "blue": [[0, 2], [3, 2]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 10x10 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [9, 0]\n- blue: Start at [0, 2], End at [9, 2]\n- green: Start at [0, 4], End at [9, 4]\n- yellow: Start at [0, 6], End at [9, 6]\n- purple: Start at [0, 8], End at [9, 8]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [10, 10], "endpoints": {"red": [[0, 0], [9, 0]], "blue": [[0, 2], [9, 2]], "green": [[0, 4], [9, 4]], "yellow": [[0, 6], [9, 6]], "purple": [[0, 8], [9, 8]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1], [7, 1], [7, 0], [8, 0], [8, 1], [9, 1], [9, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3], [7, 3], [7, 2], [8, 2], [8, 3], [9, 3], [9, 2]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5], [7, 5], [7, 4], [8, 4], [8, 5], [9, 5], [9, 4]], "yellow": [[0, 6], [0, 7], [1, 7], [1, 6], [2, 6], [2, 7], [3, 7], [3, 6], [4, 6], [4, 7], [5, 7], [5, 6], [6, 6], [6, 7], [7, 7], [7, 6], [8, 6], [8, 7], [9, 7], [9, 6]], "purple": [[0, 8], [0, 9], [1, 9], [1, 8], [2, 8], [2, 9], [3, 9], [3, 8], [4, 8], [4, 9], [5, 9], [5, 8], [6, 8], [6, 9], [7, 9], [7, 8], [8, 8], [8, 9], [9, 9], [9, 8]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 10x10 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [9, 0]\n- blue: Start at [0, 2], End at [9, 2]\n- green: Start at [0, 4], End at [9, 4]\n- yellow: Start at [0, 6], End at [9, 6]\n- purple: Start at [0, 8], End at [9, 8]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [10, 10], "endpoints": {"red": [[0, 0], [9, 0]], "blue": [[0, 2], [9, 2]], "green": [[0, 4], [9, 4]], "yellow": [[0, 6], [9, 6]], "purple": [[0, 8], [9, 8]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1], [7, 1], [7, 0], [8, 0], [8, 1], [9, 1], [9, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3], [7, 3], [7, 2], [8, 2], [8, 3], [9, 3], [9, 2]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5], [7, 5], [7, 4], [8, 4], [8, 5], [9, 5], [9, 4]], "yellow": [[0, 6], [0, 7], [1, 7], [1, 6], [2, 6], [2, 7], [3, 7], [3, 6], [4, 6], [4, 7], [5, 7], [5, 6], [6, 6], [6, 7], [7, 7], [7, 6], [8, 6], [8, 7], [9, 7], [9, 6]], "purple": [[0, 8], [0, 9], [1, 9], [1, 8], [2, 8], [2, 9], [3, 9], [3, 8], [4, 8], [4, 9], [5, 9], [5, 8], [6, 8], [6, 9], [7, 9], [7, 8], [8, 8], [8, 9], [9, 9], [9, 8]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 10x10 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [9, 0]\n- blue: Start at [0, 2], End at [9, 2]\n- green: Start at [0, 4], End at [9, 4]\n- yellow: Start at [0, 6], End at [9, 6]\n- purple: Start at [0, 8], End at [9, 8]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [10, 10], "endpoints": {"red": [[0, 0], [9, 0]], "blue": [[0, 2], [9, 2]], "green": [[0, 4], [9, 4]], "yellow": [[0, 6], [9, 6]], "purple": [[0, 8], [9, 8]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1], [7, 1], [7, 0], [8, 0], [8, 1], [9, 1], [9, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3], [7, 3], [7, 2], [8, 2], [8, 3], [9, 3], [9, 2]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5], [7, 5], [7, 4], [8, 4], [8, 5], [9, 5], [9, 4]], "yellow": [[0, 6], [0, 7], [1, 7], [1, 6], [2, 6], [2, 7], [3, 7], [3, 6], [4, 6], [4, 7], [5, 7], [5, 6], [6, 6], [6, 7], [7, 7], [7, 6], [8, 6], [8, 7], [9, 7], [9, 6]], "purple": [[0, 8], [0, 9], [1, 9], [1, 8], [2, 8], [2, 9], [3, 9], [3, 8], [4, 8], [4, 9], [5, 9], [5, 8], [6, 8], [6, 9], [7, 9], [7, 8], [8, 8], [8, 9], [9, 9], [9, 8]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 4x4 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [3, 0]\n- blue: Start at [0, 2], End at [3, 2]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [4, 4], "endpoints": {"red": [[0, 0], [3, 0]], "blue": [[0, 2], [3, 2]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 4x4 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [3, 0]\n- blue: Start at [0, 2], End at [3, 2]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [4, 4], "endpoints": {"red": [[0, 0], [3, 0]], "blue": [[0, 2], [3, 2]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 4x4 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [3, 0]\n- blue: Start at [0, 2], End at [3, 2]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [4, 4], "endpoints": {"red": [[0, 0], [3, 0]], "blue": [[0, 2], [3, 2]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 7x7 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [6, 1]\n- blue: Start at [0, 2], End at [6, 3]\n- green: Start at [0, 4], End at [6, 5]\n- yellow: Start at [0, 6], End at [6, 6]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [7, 7], "endpoints": {"red": [[0, 0], [6, 1]], "blue": [[0, 2], [6, 3]], "green": [[0, 4], [6, 5]], "yellow": [[0, 6], [6, 6]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5]], "yellow": [[0, 6], [1, 6], [2, 6], [3, 6], [4, 6], [5, 6], [6, 6]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 5x5 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [4, 1]\n- blue: Start at [0, 2], End at [4, 3]\n- green: Start at [0, 4], End at [4, 4]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [5, 5], "endpoints": {"red": [[0, 0], [4, 1]], "blue": [[0, 2], [4, 3]], "green": [[0, 4], [4, 4]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3]], "green": [[0, 4], [1, 4], [2, 4], [3, 4], [4, 4]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 8x8 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [7, 0]\n- blue: Start at [0, 2], End at [7, 2]\n- green: Start at [0, 4], End at [7, 4]\n- yellow: Start at [0, 6], End at [7, 6]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [8, 8], "endpoints": {"red": [[0, 0], [7, 0]], "blue": [[0, 2], [7, 2]], "green": [[0, 4], [7, 4]], "yellow": [[0, 6], [7, 6]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1], [7, 1], [7, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3], [7, 3], [7, 2]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5], [7, 5], [7, 4]], "yellow": [[0, 6], [0, 7], [1, 7], [1, 6], [2, 6], [2, 7], [3, 7], [3, 6], [4, 6], [4, 7], [5, 7], [5, 6], [6, 6], [6, 7], [7, 7], [7, 6]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 10x10 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [9, 0]\n- blue: Start at [0, 2], End at [9, 2]\n- green: Start at [0, 4], End at [9, 4]\n- yellow: Start at [0, 6], End at [9, 6]\n- purple: Start at [0, 8], End at [9, 8]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [10, 10], "endpoints": {"red": [[0, 0], [9, 0]], "blue": [[0, 2], [9, 2]], "green": [[0, 4], [9, 4]], "yellow": [[0, 6], [9, 6]], "purple": [[0, 8], [9, 8]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1], [7, 1], [7, 0], [8, 0], [8, 1], [9, 1], [9, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3], [7, 3], [7, 2], [8, 2], [8, 3], [9, 3], [9, 2]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5], [7, 5], [7, 4], [8, 4], [8, 5], [9, 5], [9, 4]], "yellow": [[0, 6], [0, 7], [1, 7], [1, 6], [2, 6], [2, 7], [3, 7], [3, 6], [4, 6], [4, 7], [5, 7], [5, 6], [6, 6], [6, 7], [7, 7], [7, 6], [8, 6], [8, 7], [9, 7], [9, 6]], "purple": [[0, 8], [0, 9], [1, 9], [1, 8], [2, 8], [2, 9], [3, 9], [3, 8], [4, 8], [4, 9], [5, 9], [5, 8], [6, 8], [6, 9], [7, 9], [7, 8], [8, 8], [8, 9], [9, 9], [9, 8]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 4x4 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [3, 0]\n- blue: Start at [0, 2], End at [3, 2]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [4, 4], "endpoints": {"red": [[0, 0], [3, 0]], "blue": [[0, 2], [3, 2]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 7x7 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [6, 1]\n- blue: Start at [0, 2], End at [6, 3]\n- green: Start at [0, 4], End at [6, 5]\n- yellow: Start at [0, 6], End at [6, 6]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [7, 7], "endpoints": {"red": [[0, 0], [6, 1]], "blue": [[0, 2], [6, 3]], "green": [[0, 4], [6, 5]], "yellow": [[0, 6], [6, 6]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5]], "yellow": [[0, 6], [1, 6], [2, 6], [3, 6], [4, 6], [5, 6], [6, 6]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 4x4 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [3, 0]\n- blue: Start at [0, 2], End at [3, 2]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [4, 4], "endpoints": {"red": [[0, 0], [3, 0]], "blue": [[0, 2], [3, 2]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 5x5 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [4, 1]\n- blue: Start at [0, 2], End at [4, 3]\n- green: Start at [0, 4], End at [4, 4]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [5, 5], "endpoints": {"red": [[0, 0], [4, 1]], "blue": [[0, 2], [4, 3]], "green": [[0, 4], [4, 4]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3]], "green": [[0, 4], [1, 4], [2, 4], [3, 4], [4, 4]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 8x8 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [7, 0]\n- blue: Start at [0, 2], End at [7, 2]\n- green: Start at [0, 4], End at [7, 4]\n- yellow: Start at [0, 6], End at [7, 6]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [8, 8], "endpoints": {"red": [[0, 0], [7, 0]], "blue": [[0, 2], [7, 2]], "green": [[0, 4], [7, 4]], "yellow": [[0, 6], [7, 6]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1], [7, 1], [7, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3], [7, 3], [7, 2]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5], [7, 5], [7, 4]], "yellow": [[0, 6], [0, 7], [1, 7], [1, 6], [2, 6], [2, 7], [3, 7], [3, 6], [4, 6], [4, 7], [5, 7], [5, 6], [6, 6], [6, 7], [7, 7], [7, 6]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 4x4 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [3, 0]\n- blue: Start at [0, 2], End at [3, 2]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [4, 4], "endpoints": {"red": [[0, 0], [3, 0]], "blue": [[0, 2], [3, 2]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 7x7 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [6, 1]\n- blue: Start at [0, 2], End at [6, 3]\n- green: Start at [0, 4], End at [6, 5]\n- yellow: Start at [0, 6], End at [6, 6]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [7, 7], "endpoints": {"red": [[0, 0], [6, 1]], "blue": [[0, 2], [6, 3]], "green": [[0, 4], [6, 5]], "yellow": [[0, 6], [6, 6]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5]], "yellow": [[0, 6], [1, 6], [2, 6], [3, 6], [4, 6], [5, 6], [6, 6]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 10x10 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [9, 0]\n- blue: Start at [0, 2], End at [9, 2]\n- green: Start at [0, 4], End at [9, 4]\n- yellow: Start at [0, 6], End at [9, 6]\n- purple: Start at [0, 8], End at [9, 8]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [10, 10], "endpoints": {"red": [[0, 0], [9, 0]], "blue": [[0, 2], [9, 2]], "green": [[0, 4], [9, 4]], "yellow": [[0, 6], [9, 6]], "purple": [[0, 8], [9, 8]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1], [7, 1], [7, 0], [8, 0], [8, 1], [9, 1], [9, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3], [7, 3], [7, 2], [8, 2], [8, 3], [9, 3], [9, 2]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5], [7, 5], [7, 4], [8, 4], [8, 5], [9, 5], [9, 4]], "yellow": [[0, 6], [0, 7], [1, 7], [1, 6], [2, 6], [2, 7], [3, 7], [3, 6], [4, 6], [4, 7], [5, 7], [5, 6], [6, 6], [6, 7], [7, 7], [7, 6], [8, 6], [8, 7], [9, 7], [9, 6]], "purple": [[0, 8], [0, 9], [1, 9], [1, 8], [2, 8], [2, 9], [3, 9], [3, 8], [4, 8], [4, 9], [5, 9], [5, 8], [6, 8], [6, 9], [7, 9], [7, 8], [8, 8], [8, 9], [9, 9], [9, 8]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 4x4 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [3, 0]\n- blue: Start at [0, 2], End at [3, 2]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [4, 4], "endpoints": {"red": [[0, 0], [3, 0]], "blue": [[0, 2], [3, 2]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 7x7 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [6, 1]\n- blue: Start at [0, 2], End at [6, 3]\n- green: Start at [0, 4], End at [6, 5]\n- yellow: Start at [0, 6], End at [6, 6]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [7, 7], "endpoints": {"red": [[0, 0], [6, 1]], "blue": [[0, 2], [6, 3]], "green": [[0, 4], [6, 5]], "yellow": [[0, 6], [6, 6]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5]], "yellow": [[0, 6], [1, 6], [2, 6], [3, 6], [4, 6], [5, 6], [6, 6]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 7x7 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [6, 1]\n- blue: Start at [0, 2], End at [6, 3]\n- green: Start at [0, 4], End at [6, 5]\n- yellow: Start at [0, 6], End at [6, 6]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [7, 7], "endpoints": {"red": [[0, 0], [6, 1]], "blue": [[0, 2], [6, 3]], "green": [[0, 4], [6, 5]], "yellow": [[0, 6], [6, 6]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5]], "yellow": [[0, 6], [1, 6], [2, 6], [3, 6], [4, 6], [5, 6], [6, 6]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 5x5 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [4, 1]\n- blue: Start at [0, 2], End at [4, 3]\n- green: Start at [0, 4], End at [4, 4]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [5, 5], "endpoints": {"red": [[0, 0], [4, 1]], "blue": [[0, 2], [4, 3]], "green": [[0, 4], [4, 4]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3]], "green": [[0, 4], [1, 4], [2, 4], [3, 4], [4, 4]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 5x5 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [4, 1]\n- blue: Start at [0, 2], End at [4, 3]\n- green: Start at [0, 4], End at [4, 4]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [5, 5], "endpoints": {"red": [[0, 0], [4, 1]], "blue": [[0, 2], [4, 3]], "green": [[0, 4], [4, 4]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3]], "green": [[0, 4], [1, 4], [2, 4], [3, 4], [4, 4]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 8x8 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [7, 0]\n- blue: Start at [0, 2], End at [7, 2]\n- green: Start at [0, 4], End at [7, 4]\n- yellow: Start at [0, 6], End at [7, 6]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [8, 8], "endpoints": {"red": [[0, 0], [7, 0]], "blue": [[0, 2], [7, 2]], "green": [[0, 4], [7, 4]], "yellow": [[0, 6], [7, 6]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1], [7, 1], [7, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3], [7, 3], [7, 2]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5], [7, 5], [7, 4]], "yellow": [[0, 6], [0, 7], [1, 7], [1, 6], [2, 6], [2, 7], [3, 7], [3, 6], [4, 6], [4, 7], [5, 7], [5, 6], [6, 6], [6, 7], [7, 7], [7, 6]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 5x5 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [4, 1]\n- blue: Start at [0, 2], End at [4, 3]\n- green: Start at [0, 4], End at [4, 4]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [5, 5], "endpoints": {"red": [[0, 0], [4, 1]], "blue": [[0, 2], [4, 3]], "green": [[0, 4], [4, 4]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3]], "green": [[0, 4], [1, 4], [2, 4], [3, 4], [4, 4]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 10x10 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [9, 0]\n- blue: Start at [0, 2], End at [9, 2]\n- green: Start at [0, 4], End at [9, 4]\n- yellow: Start at [0, 6], End at [9, 6]\n- purple: Start at [0, 8], End at [9, 8]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [10, 10], "endpoints": {"red": [[0, 0], [9, 0]], "blue": [[0, 2], [9, 2]], "green": [[0, 4], [9, 4]], "yellow": [[0, 6], [9, 6]], "purple": [[0, 8], [9, 8]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1], [7, 1], [7, 0], [8, 0], [8, 1], [9, 1], [9, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3], [7, 3], [7, 2], [8, 2], [8, 3], [9, 3], [9, 2]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5], [7, 5], [7, 4], [8, 4], [8, 5], [9, 5], [9, 4]], "yellow": [[0, 6], [0, 7], [1, 7], [1, 6], [2, 6], [2, 7], [3, 7], [3, 6], [4, 6], [4, 7], [5, 7], [5, 6], [6, 6], [6, 7], [7, 7], [7, 6], [8, 6], [8, 7], [9, 7], [9, 6]], "purple": [[0, 8], [0, 9], [1, 9], [1, 8], [2, 8], [2, 9], [3, 9], [3, 8], [4, 8], [4, 9], [5, 9], [5, 8], [6, 8], [6, 9], [7, 9], [7, 8], [8, 8], [8, 9], [9, 9], [9, 8]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 4x4 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [3, 0]\n- blue: Start at [0, 2], End at [3, 2]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [4, 4], "endpoints": {"red": [[0, 0], [3, 0]], "blue": [[0, 2], [3, 2]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 7x7 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [6, 1]\n- blue: Start at [0, 2], End at [6, 3]\n- green: Start at [0, 4], End at [6, 5]\n- yellow: Start at [0, 6], End at [6, 6]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [7, 7], "endpoints": {"red": [[0, 0], [6, 1]], "blue": [[0, 2], [6, 3]], "green": [[0, 4], [6, 5]], "yellow": [[0, 6], [6, 6]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5]], "yellow": [[0, 6], [1, 6], [2, 6], [3, 6], [4, 6], [5, 6], [6, 6]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 10x10 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [9, 0]\n- blue: Start at [0, 2], End at [9, 2]\n- green: Start at [0, 4], End at [9, 4]\n- yellow: Start at [0, 6], End at [9, 6]\n- purple: Start at [0, 8], End at [9, 8]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [10, 10], "endpoints": {"red": [[0, 0], [9, 0]], "blue": [[0, 2], [9, 2]], "green": [[0, 4], [9, 4]], "yellow": [[0, 6], [9, 6]], "purple": [[0, 8], [9, 8]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1], [7, 1], [7, 0], [8, 0], [8, 1], [9, 1], [9, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3], [7, 3], [7, 2], [8, 2], [8, 3], [9, 3], [9, 2]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5], [7, 5], [7, 4], [8, 4], [8, 5], [9, 5], [9, 4]], "yellow": [[0, 6], [0, 7], [1, 7], [1, 6], [2, 6], [2, 7], [3, 7], [3, 6], [4, 6], [4, 7], [5, 7], [5, 6], [6, 6], [6, 7], [7, 7], [7, 6], [8, 6], [8, 7], [9, 7], [9, 6]], "purple": [[0, 8], [0, 9], [1, 9], [1, 8], [2, 8], [2, 9], [3, 9], [3, 8], [4, 8], [4, 9], [5, 9], [5, 8], [6, 8], [6, 9], [7, 9], [7, 8], [8, 8], [8, 9], [9, 9], [9, 8]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 7x7 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [6, 1]\n- blue: Start at [0, 2], End at [6, 3]\n- green: Start at [0, 4], End at [6, 5]\n- yellow: Start at [0, 6], End at [6, 6]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [7, 7], "endpoints": {"red": [[0, 0], [6, 1]], "blue": [[0, 2], [6, 3]], "green": [[0, 4], [6, 5]], "yellow": [[0, 6], [6, 6]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5]], "yellow": [[0, 6], [1, 6], [2, 6], [3, 6], [4, 6], [5, 6], [6, 6]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 4x4 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [3, 0]\n- blue: Start at [0, 2], End at [3, 2]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [4, 4], "endpoints": {"red": [[0, 0], [3, 0]], "blue": [[0, 2], [3, 2]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 7x7 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [6, 1]\n- blue: Start at [0, 2], End at [6, 3]\n- green: Start at [0, 4], End at [6, 5]\n- yellow: Start at [0, 6], End at [6, 6]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [7, 7], "endpoints": {"red": [[0, 0], [6, 1]], "blue": [[0, 2], [6, 3]], "green": [[0, 4], [6, 5]], "yellow": [[0, 6], [6, 6]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5]], "yellow": [[0, 6], [1, 6], [2, 6], [3, 6], [4, 6], [5, 6], [6, 6]]}}}
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{"data_source": "Pipes", "prompt": "You are playing a 'Pipes' puzzle on a 8x8 grid. Connect each pair of colored endpoints with continuous, non-overlapping paths that fill all cells. Follow these rules:\n1. Paths must be straight lines (horizontal/vertical)\n2. All cells must be filled\n3. Paths cannot cross or overlap\n\nEndpoints positions:\n- red: Start at [0, 0], End at [7, 0]\n- blue: Start at [0, 2], End at [7, 2]\n- green: Start at [0, 4], End at [7, 4]\n- yellow: Start at [0, 6], End at [7, 6]\n\nFormat your answer as a JSON dictionary where keys are colors and values are coordinate lists from start to end. Enclose your answer within [answer] and [/answer] tags.\nExample:\n[answer]\n{\n \"red\": [[0,0], [0,1], [1,1]],\n \"blue\": [[2,2], [2,3]]\n}\n[/answer]", "ground_truth": {"grid_size": [8, 8], "endpoints": {"red": [[0, 0], [7, 0]], "blue": [[0, 2], [7, 2]], "green": [[0, 4], [7, 4]], "yellow": [[0, 6], [7, 6]]}, "solution_paths": {"red": [[0, 0], [0, 1], [1, 1], [1, 0], [2, 0], [2, 1], [3, 1], [3, 0], [4, 0], [4, 1], [5, 1], [5, 0], [6, 0], [6, 1], [7, 1], [7, 0]], "blue": [[0, 2], [0, 3], [1, 3], [1, 2], [2, 2], [2, 3], [3, 3], [3, 2], [4, 2], [4, 3], [5, 3], [5, 2], [6, 2], [6, 3], [7, 3], [7, 2]], "green": [[0, 4], [0, 5], [1, 5], [1, 4], [2, 4], [2, 5], [3, 5], [3, 4], [4, 4], [4, 5], [5, 5], [5, 4], [6, 4], [6, 5], [7, 5], [7, 4]], "yellow": [[0, 6], [0, 7], [1, 7], [1, 6], [2, 6], [2, 7], [3, 7], [3, 6], [4, 6], [4, 7], [5, 7], [5, 6], [6, 6], [6, 7], [7, 7], [7, 6]]}}}
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