[ { "id": "Geometric_Reasoning/Unblock_Me/RedCar001", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar001-1-2.jpg", "Unblock_Me/RedCar001-1-1.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: b、c; Minimum number of moves required: 3", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar002", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar002-1-2.jpg", "Unblock_Me/RedCar002-1-1.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: b、c; Minimum number of moves required: 3", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar003", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar003-1-2.jpg", "Unblock_Me/RedCar003-1-1.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: a、e; Minimum number of moves required: 3", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar004", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar004-1-2.jpg", "Unblock_Me/RedCar004-1-1.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: b、c; Minimum number of moves required: 3", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar005", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar005-1-2.jpg", "Unblock_Me/RedCar005-1-1.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: d、e; Minimum number of moves required: 3", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar006", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar006-1-1.jpg", "Unblock_Me/RedCar006-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: b、c; Minimum number of moves required: 3", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar007", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar007-1-1.jpg", "Unblock_Me/RedCar007-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: b、c; Minimum number of moves required: 3", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar008", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar008-1-2.jpg", "Unblock_Me/RedCar008-1-1.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: b、c、d; Minimum number of moves required: 4", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar009", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar009-1-1.jpg", "Unblock_Me/RedCar009-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: b、c、d; Minimum number of moves required: 4", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar010", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar010-1-1.jpg", "Unblock_Me/RedCar010-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: b、d、g; Minimum number of moves required: 4", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar011", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar011-1-2.jpg", "Unblock_Me/RedCar011-1-1.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: b、d; Minimum number of moves required: 3", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar012", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar012-1-1.jpg", "Unblock_Me/RedCar012-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: a、b、d; Minimum number of moves required: 4", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar013", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar013-1-2.jpg", "Unblock_Me/RedCar013-1-1.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: b、c、d; Minimum number of moves required: 4", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar014", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar014-1-2.jpg", "Unblock_Me/RedCar014-1-1.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: b、c、d; Minimum number of moves required: 5", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar015", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar015-1-1.jpg", "Unblock_Me/RedCar015-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: a、b、c、g; Minimum number of moves required: 5", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar016", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar016-1-1.jpg", "Unblock_Me/RedCar016-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: a、b、c、d; Minimum number of moves required: 5", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar017", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar017-1-2.jpg", "Unblock_Me/RedCar017-1-1.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: a、b、c、d; Minimum number of moves required: 5", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar018", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar018-1-1.jpg", "Unblock_Me/RedCar018-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: b、d、e; Minimum number of moves required: 4", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar019", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar019-1-1.jpg", "Unblock_Me/RedCar019-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: b、c、e、f; Minimum number of moves required: 5", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar020", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar020-1-2.jpg", "Unblock_Me/RedCar020-1-1.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: b、d、e; Minimum number of moves required: 6", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar021", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar021-1-1.jpg", "Unblock_Me/RedCar021-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: a、b、d、f; Minimum number of moves required: 5", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar022", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar022-1-1.jpg", "Unblock_Me/RedCar022-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: b、c、d、f; Minimum number of moves required: 5", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar023", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar023-1-2.jpg", "Unblock_Me/RedCar023-1-1.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: b、c、d、e; Minimum number of moves required: 5", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar024", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar024-1-1.jpg", "Unblock_Me/RedCar024-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: c、d、e、f; Minimum number of moves required: 5", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar025", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar025-1-1.jpg", "Unblock_Me/RedCar025-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: b、d、e; Minimum number of moves required: 5", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar026", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar026-1-2.jpg", "Unblock_Me/RedCar026-1-1.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: b、c、d、e; Minimum number of moves required: 5", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar027", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar027-1-2.jpg", "Unblock_Me/RedCar027-1-1.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: b、c、d、e、f; Minimum number of moves required: 6", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar028", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar028-1-1.jpg", "Unblock_Me/RedCar028-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: b、d、e、f、g; Minimum number of moves required: 6", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar029", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar029-1-1.jpg", "Unblock_Me/RedCar029-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: a、b、c; Minimum number of moves required: 6", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar030", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar030-1-1.jpg", "Unblock_Me/RedCar030-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: b、c、d、e、f; Minimum number of moves required: 6", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar031", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar031-1-1.jpg", "Unblock_Me/RedCar031-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: d、e、f; Minimum number of moves required: 6", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar032", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar032-1-1.jpg", "Unblock_Me/RedCar032-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: a、b、c、d; Minimum number of moves required: 6", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar033", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar033-1-2.jpg", "Unblock_Me/RedCar033-1-1.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: a、b、c、e; Minimum number of moves required: 6", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar034", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar034-1-1.jpg", "Unblock_Me/RedCar034-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: b、c、d、e、f; Minimum number of moves required: 6", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar035", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar035-1-1.jpg", "Unblock_Me/RedCar035-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: a、b、c、d; Minimum number of moves required: 6", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar036", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar036-1-2.jpg", "Unblock_Me/RedCar036-1-1.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: c、d、e、f; Minimum number of moves required: 6", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar037", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar037-1-2.jpg", "Unblock_Me/RedCar037-1-1.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: a、b、c、e、f、g; Minimum number of moves required: 8", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar038", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar038-1-2.jpg", "Unblock_Me/RedCar038-1-1.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: a、b、c、e; Minimum number of moves required: 6", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar039", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar039-1-2.jpg", "Unblock_Me/RedCar039-1-1.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: b、d、e; Minimum number of moves required: 6", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar040", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar040-1-1.jpg", "Unblock_Me/RedCar040-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: b、d、e、f; Minimum number of moves required: 6", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar041", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar041-1-1.jpg", "Unblock_Me/RedCar041-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: b、c、d、e、g; Minimum number of moves required: 7", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar042", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar042-1-2.jpg", "Unblock_Me/RedCar042-1-1.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: a、b、c、d、e、f; Minimum number of moves required: 7", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar043", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar043-1-2.jpg", "Unblock_Me/RedCar043-1-1.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: a、b、c、d、g; Minimum number of moves required: 7", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar044", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar044-1-2.jpg", "Unblock_Me/RedCar044-1-1.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: c、d、e、f; Minimum number of moves required: 8", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar045", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar045-1-1.jpg", "Unblock_Me/RedCar045-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: b、d、e; Minimum number of moves required: 7", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar046", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar046-1-1.jpg", "Unblock_Me/RedCar046-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: a、b、c、d、e; Minimum number of moves required: 7", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar047", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar047-1-1.jpg", "Unblock_Me/RedCar047-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: b、c、d、e; Minimum number of moves required: 7", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar048", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar048-1-1.jpg", "Unblock_Me/RedCar048-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: a、c、d、e、g; Minimum number of moves required: 7", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar049", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar049-1-1.jpg", "Unblock_Me/RedCar049-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: a、c、d、e; Minimum number of moves required: 7", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar050", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar050-1-1.jpg", "Unblock_Me/RedCar050-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: a、b、c、f; Minimum number of moves required: 8", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar051", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar051-1-1.jpg", "Unblock_Me/RedCar051-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: a、c、d、e; Minimum number of moves required: 8", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar052", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar052-1-1.jpg", "Unblock_Me/RedCar052-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: a、b、c、d、e、f; Minimum number of moves required: 9", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar053", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar053-1-1.jpg", "Unblock_Me/RedCar053-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: a、c、d、e、f; Minimum number of moves required: 8", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar054", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar054-1-2.jpg", "Unblock_Me/RedCar054-1-1.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: a、b、c、d、e; Minimum number of moves required: 8", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar055", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar055-1-2.jpg", "Unblock_Me/RedCar055-1-1.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: a、c、d、e、f; Minimum number of moves required: 9", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar056", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar056-1-2.jpg", "Unblock_Me/RedCar056-1-1.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: a、b、c、d、e、f; Minimum number of moves required: 9", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar057", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar057-1-1.jpg", "Unblock_Me/RedCar057-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: a、b、c、d、e、f; Minimum number of moves required: 9", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar058", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar058-1-2.jpg", "Unblock_Me/RedCar058-1-1.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: a、c、d、e、f; Minimum number of moves required: 9", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar059", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar059-1-1.jpg", "Unblock_Me/RedCar059-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: a、b、c、d、e、f、g; Minimum number of moves required: 9", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar061", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar061-1-1.jpg", "Unblock_Me/RedCar061-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: d、f、g; Minimum number of moves required: 6", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar062", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar062-1-1.jpg", "Unblock_Me/RedCar062-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: a、b、c、e; Minimum number of moves required: 5", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar063", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar063-1-1.jpg", "Unblock_Me/RedCar063-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: a、b、f、d; Minimum number of moves required: 4", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar064", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar064-1-1.jpg", "Unblock_Me/RedCar064-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: d、e、h、c; Minimum number of moves required: 5", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar065", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar065-1-1.jpg", "Unblock_Me/RedCar065-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: c、b、d、g; Minimum number of moves required: 5", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar066", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar066-1-1.jpg", "Unblock_Me/RedCar066-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: d、e、f、g; Minimum number of moves required: 5", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar067", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar067-1-1.jpg", "Unblock_Me/RedCar067-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: c、e、f、g、h; Minimum number of moves required: 6", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar068", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar068-1-1.jpg", "Unblock_Me/RedCar068-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: b、d、e; Minimum number of moves required: 4", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar069", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar069-1-1.jpg", "Unblock_Me/RedCar069-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: b、d、e、f; Minimum number of moves required: 5", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar070", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar070-1-1.jpg", "Unblock_Me/RedCar070-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: b、c、d; Minimum number of moves required: 5", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar071", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar071-1-2.jpg", "Unblock_Me/RedCar071-1-1.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: b、c、d、f; Minimum number of moves required: 5", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar072", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar072-1-1.jpg", "Unblock_Me/RedCar072-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: a、b、c、d、h; Minimum number of moves required: 6", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar073", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar073-1-2.jpg", "Unblock_Me/RedCar073-1-1.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: a、c、d、e; Minimum number of moves required: 5", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar074", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar074-1-1.jpg", "Unblock_Me/RedCar074-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: a、d、e、h; Minimum number of moves required: 5", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar075", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar075-1-1.jpg", "Unblock_Me/RedCar075-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: a、b、c、d、e、g、h; Minimum number of moves required: 9", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar076", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar076-1-1.jpg", "Unblock_Me/RedCar076-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: a、b、d、e; Minimum number of moves required: 5", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar077", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar077-1-1.jpg", "Unblock_Me/RedCar077-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: b、c、d、f、g; Minimum number of moves required: 6", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar078", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar078-1-1.jpg", "Unblock_Me/RedCar078-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: a、b、d、h; Minimum number of moves required: 5", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar079", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar079-1-2.jpg", "Unblock_Me/RedCar079-1-1.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: d、e、g、h; Minimum number of moves required: 5", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar080", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar080-1-1.jpg", "Unblock_Me/RedCar080-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: b、c、d、e; Minimum number of moves required: 5", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar081", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar081-1-1.jpg", "Unblock_Me/RedCar081-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: c、d、f、g; Minimum number of moves required: 5", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar082", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar082-1-2.jpg", "Unblock_Me/RedCar082-1-1.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: a、b、c; Minimum number of moves required: 4", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar083", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar083-1-1.jpg", "Unblock_Me/RedCar083-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: a、d、e、f; Minimum number of moves required: 5", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar084", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar084-1-2.jpg", "Unblock_Me/RedCar084-1-1.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: b、c、d、g; Minimum number of moves required: 5", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar085", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar085-1-1.jpg", "Unblock_Me/RedCar085-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: d、e、f、g; Minimum number of moves required: 5", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar086", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar086-1-1.jpg", "Unblock_Me/RedCar086-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: c、g、h; Minimum number of moves required: 5", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar087", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar087-1-1.jpg", "Unblock_Me/RedCar087-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: e、f、g、h; Minimum number of moves required: 5", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar088", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar088-1-1.jpg", "Unblock_Me/RedCar088-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: a、c、e; Minimum number of moves required: 5", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar089", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar089-1-1.jpg", "Unblock_Me/RedCar089-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: b、d、e、f、g; Minimum number of moves required: 6", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar090", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar090-1-1.jpg", "Unblock_Me/RedCar090-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: b、c、f; Minimum number of moves required: 4", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar091", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar091-1-1.jpg", "Unblock_Me/RedCar091-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: a、b、d、e、f; Minimum number of moves required: 6", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar092", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar092-1-1.jpg", "Unblock_Me/RedCar092-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: b、c、e、f、h; Minimum number of moves required: 6", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar093", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar093-1-1.jpg", "Unblock_Me/RedCar093-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: c、d、f、g; Minimum number of moves required: 5", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar094", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar094-1-1.jpg", "Unblock_Me/RedCar094-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: d、e、f、g; Minimum number of moves required: 5", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar095", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar095-1-1.jpg", "Unblock_Me/RedCar095-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: b、c、d、f; Minimum number of moves required: 5", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar096", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar096-1-2.jpg", "Unblock_Me/RedCar096-1-1.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: b、c、e、f、g; Minimum number of moves required: 6", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar097", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar097-1-1.jpg", "Unblock_Me/RedCar097-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: d、e、g、h; Minimum number of moves required: 5", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar098", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar098-1-1.jpg", "Unblock_Me/RedCar098-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: a、b、c、e; Minimum number of moves required: 5", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar099", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar099-1-1.jpg", "Unblock_Me/RedCar099-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: e、f、g、h、i; Minimum number of moves required: 6", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } }, { "id": "Geometric_Reasoning/Unblock_Me/RedCar100", "system_prompt": "", "prompt": "The game shown in the image is \"Unblock Me\". In this game, all horizontal blocks can only move horizontally, and all vertical blocks can only move vertically. No block can move outside the frame, overlap with other blocks, pass through each other, rotate, turn, or move diagonally. Your task is to move these blocks according to the rules and guide the red block to the exit indicated by the arrow on the right side.\nEach move consists of sliding a block in one direction as far as it can go in that direction (for example, moving a vertical block 2 spaces upward to the top counts as one move, but if there are 2 empty spaces above, you cannot move it just 1 space). Your goal is to calculate the minimum number of moves required to get the red block to the exit. Note that the final move to slide the red block out of the exit also counts as one move.\nThe first image I provided demonstrates how to move the red block to the exit indicated by the arrow on the right side using the minimum number of moves.\nPlease solve the puzzle shown in the second image. Analyze the situation and provide your answer with: 1) Which block should be moved; 2) The minimum number of moves required", "image_list": [ "Unblock_Me/RedCar100-1-1.jpg", "Unblock_Me/RedCar100-1-2.jpg" ], "ground_truth": { "answer": "Blocks that need to be moved: d、f、h; Minimum number of moves required: 4", "rationale": "" }, "judge_system_prompt": "Please determine if the student’s answer is correct based on the reference answer, and score it according to the following criteria:\n- 1 point: The student’s answer matches the reference answer in terms of the minimum number of steps, and the student’s provides the correct blocks (excluding the red block) that need to be moved (the order does not matter, but the numbers must be exactly the same). Both criteria must be met.\n- 0 point: The student’s answer is incorrect in terms of the minimum number of steps, or the student’s provides incorrect block (excluding the red block) that need to be moved, or the student’s misses one of the points, or the student’s answer is empty, or other situations.\nPlease first determine if the student’s answer is correct in terms of the minimum number of steps, then determine if the student’s answer is correct in terms of the \"block that need to be moved.\" Finally, please present the score in the \"JSON\" format in the code block below, as follows:\nIs the student’s answer correct in terms of the minimum number of steps:\nFor the block that need to be moved, the student’s answer (excluding the red block) is xxx, and the reference answer is xxx, they are consistent/inconsistent\nScore:\n{\n\"answer_score\": [[score]]\n}\n\nExample 1:\n:\nBlocks that need to be moved: b, c, d; Minimum number of steps: 4\n:\nIn the current situation, you only need to move the following blocks to achieve the goal:\n1. Move d to the left to the top, creating a space.\n2. Move c downward to the top, creating more space.\n3. Move b downward to the top, leaving space for the red block.\n4. Move the red block to the right to the exit.\n\nSpecific steps:\n1. Move block d to the left.\n2. Move block c downward.\n3. Move block b downward.\n4. Move the red block to the right to the exit.\n\nThe minimum number of steps is 4.\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is d, c, b, and the reference answer is b, c, d, they are consistent\nScore:\n{\n\"answer_score\": [[1]]\n}\n\nExample 2:\n\n:\nBlocks that need to be moved: a, b, c, e; Minimum number of steps: 6\n\n:\nAnalysis:\n\nThe second image is a similar Huarong Dao problem, the goal is to move the red block to the exit indicated by the arrow on the right. Here is a step-by-step analysis:\n\nObserving the initial state:\nThe right side of the red block is blocked by vertical block b.\nThe bottom of block b is blocked by horizontal block e.\nThe left side of block e is blocked by vertical block a and horizontal block d.\nThe bottom of block a is blocked by vertical block c.\nSolution approach:\nFirst, move block b to the bottom to create an exit on the right side for the red block.\nTo move block b, first move block e.\nTo move block e, first move blocks a and d.\nTo move block a, first move block c.\nSpecific steps:\nStep 1: Move block c downward to the bottom.\nStep 2: Move block a to the left to the far left.\nStep 3: Move block d upward to the top.\nStep 4: Move block e to the left to the far left.\nStep 5: Move block b downward to the bottom.\nStep 6: Move the red block to the right to the exit.\n\nAnswer:\n\nBlock that need to be moved: c, a, d, e, b, red block\nMinimum number of steps required: 6 steps\n\n:\nIs the student’s answer correct in terms of the minimum number of steps: Correct\nFor the block that need to be moved, the student’s answer (excluding the red block) is c, a, d, e, b, and the reference answer is a, b, c, e, they are inconsistent\nScore:\n{\n\"answer_score\": [[0]]\n}\n\n:\n{response_reference}\n:\n{response}", "judge_prompt_template": ":\n{prompt}\n\n:\n{response_reference}\n\n:\n{response}", "extra": { "difficulty": "", "Category": "Geometric Reasoning", "Subtask": "Unblock Me", "tags": [], "metadata": { "source": "" } } } ]