Datasets:
PrimeIntellect
/
SYNTHETIC-2-Base-v2-General-Reasoning

Dataset card Data Studio Files Community
problem_id
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12
17
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1 value
task_type
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2 values
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243
16.6k
verification_info
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5.73k
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General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 8 8 4 4 4 4 4 4 4 4 8 4 4 4 4 4 4 4 4 4 8 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 3 3 Output: 8 8 3 8 3 3 8 3 3 Example 2: Input: 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 2 2 4 4 4 7 7 7 4 4 4 4 4 4 4 4 7 7 4 4 4 4 4 4 4 4 4 7 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 Output: 7 7 7 2 7 7 2 2 7 Example 3: Input: 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 8 4 4 4 4 4 4 4 4 8 8 8 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 6 4 4 4 4 4 4 4 6 4 6 4 4 4 4 4 4 Output: 6 6 6 6 8 6 8 8 8 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 1 4 4 4 4 4 4 4 4 1 1 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 4 4 4 4 4 4 4 4 9 4 4 4 4 4 4 4 4 4 9 9 9 4 4 4 4 4 4 4 4 4 4
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "9 9 1\n9 1 1\n9 9 9", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4\n4 8 8 4 4 4 4 4 4 4\n4 8 4 4 4 4 4 4 4 4\n4 8 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 3\n4 4 4 4 4 4 4 4 3 3\n4 4 4 4 4 4 4 4 3 3\nOutput:\n8 8 3\n8 3 3\n8 3 3\n\nExample 2:\n\nInput:\n4 4 4 4 4 4 4 4 2 4\n4 4 4 4 4 4 4 4 2 2\n4 4 4 7 7 7 4 4 4 4\n4 4 4 4 7 7 4 4 4 4\n4 4 4 4 4 7 4 4 4 4\n4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4\nOutput:\n7 7 7\n2 7 7\n2 2 7\n\nExample 3:\n\nInput:\n4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4\n4 4 4 4 8 4 4 4 4 4\n4 4 4 8 8 8 4 4 4 4\n4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4\n4 6 6 6 4 4 4 4 4 4\n4 6 4 6 4 4 4 4 4 4\nOutput:\n6 6 6\n6 8 6\n8 8 8\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4\n4 4 4 4 1 4 4 4 4 4\n4 4 4 1 1 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 9 9 4\n4 4 4 4 4 4 4 9 4 4\n4 4 4 4 4 4 4 9 9 9\n4 4 4 4 4 4 4 4 4 4\n", "answer": "9 9 1\n9 1 1\n9 9 9", "metadata": {"source_dataset": "arc_agi", "source_index": 200, "input": [[4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 1, 4, 4, 4, 4, 4], [4, 4, 4, 1, 1, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 9, 9, 4], [4, 4, 4, 4, 4, 4, 4, 9, 4, 4], [4, 4, 4, 4, 4, 4, 4, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]], "output": [[9, 9, 1], [9, 1, 1], [9, 9, 9]], "task_id": "681b3aeb", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 200, "input": [[4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 1, 4, 4, 4, 4, 4], [4, 4, 4, 1, 1, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 9, 9, 4], [4, 4, 4, 4, 4, 4, 4, 9, 4, 4], [4, 4, 4, 4, 4, 4, 4, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]], "output": [[9, 9, 1], [9, 1, 1], [9, 9, 9]], "task_id": "681b3aeb", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
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General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 9 9 9 1 4 4 1 6 6 6 9 9 9 1 4 4 1 6 6 6 1 1 1 1 1 1 1 6 6 6 1 1 1 1 1 1 1 6 6 6 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Output: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 9 9 9 1 1 1 1 1 1 1 9 9 9 4 1 1 1 1 1 1 1 1 4 4 6 6 1 1 1 1 1 1 1 6 6 6 1 1 1 1 1 1 1 6 6 6 1 1 1 1 1 1 1 6 6 6 Example 2: Input: 0 0 0 1 9 1 5 5 5 5 0 0 0 1 9 1 5 5 5 5 0 0 0 1 9 1 1 1 1 1 1 1 1 1 9 1 1 1 1 1 1 1 1 1 9 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Output: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1 1 1 1 1 1 1 0 0 0 1 1 1 1 1 1 1 0 0 0 1 1 1 1 1 1 1 1 1 9 1 1 1 1 1 1 1 1 1 9 1 1 1 1 1 1 1 1 1 9 1 1 1 1 1 1 1 1 1 9 5 5 5 1 1 1 1 1 1 5 5 5 5 Example 3: Input: 5 1 0 0 1 9 9 1 8 8 5 1 0 0 1 9 9 1 8 8 5 1 1 1 1 1 1 1 8 8 5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Output: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 1 1 1 1 1 1 1 1 1 5 1 1 1 1 1 1 1 1 1 5 1 1 1 1 1 1 1 1 1 5 0 1 1 1 1 1 1 1 1 0 0 9 1 1 1 1 1 1 1 1 9 9 8 1 1 1 1 1 1 1 1 8 8 1 1 1 1 1 1 1 1 8 8 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 1 0 0 1 7 1 6 6 1 4 1 0 0 1 7 1 6 6 1 4 1 1 1 1 7 1 6 6 1 4 1 1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 0 0 1\n1 1 1 1 1 1 1 0 0 1\n1 1 1 1 1 1 1 1 7 1\n1 1 1 1 1 1 1 1 7 6\n1 1 1 1 1 1 1 1 6 6\n1 1 1 1 1 1 1 1 6 6\n1 1 1 1 1 1 1 1 1 4\n1 1 1 1 1 1 1 1 1 4\n1 1 1 1 1 1 1 1 1 4", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n9 9 9 1 4 4 1 6 6 6\n9 9 9 1 4 4 1 6 6 6\n1 1 1 1 1 1 1 6 6 6\n1 1 1 1 1 1 1 6 6 6\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\nOutput:\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 9 9 9 1 1 1\n1 1 1 1 9 9 9 4 1 1\n1 1 1 1 1 1 4 4 6 6\n1 1 1 1 1 1 1 6 6 6\n1 1 1 1 1 1 1 6 6 6\n1 1 1 1 1 1 1 6 6 6\n\nExample 2:\n\nInput:\n0 0 0 1 9 1 5 5 5 5\n0 0 0 1 9 1 5 5 5 5\n0 0 0 1 9 1 1 1 1 1\n1 1 1 1 9 1 1 1 1 1\n1 1 1 1 9 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\nOutput:\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 0 0 0 1 1 1\n1 1 1 1 0 0 0 1 1 1\n1 1 1 1 0 0 0 1 1 1\n1 1 1 1 1 1 9 1 1 1\n1 1 1 1 1 1 9 1 1 1\n1 1 1 1 1 1 9 1 1 1\n1 1 1 1 1 1 9 5 5 5\n1 1 1 1 1 1 5 5 5 5\n\nExample 3:\n\nInput:\n5 1 0 0 1 9 9 1 8 8\n5 1 0 0 1 9 9 1 8 8\n5 1 1 1 1 1 1 1 8 8\n5 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\nOutput:\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 5 1 1 1\n1 1 1 1 1 1 5 1 1 1\n1 1 1 1 1 1 5 1 1 1\n1 1 1 1 1 1 5 0 1 1\n1 1 1 1 1 1 0 0 9 1\n1 1 1 1 1 1 1 9 9 8\n1 1 1 1 1 1 1 1 8 8\n1 1 1 1 1 1 1 1 8 8\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n1 0 0 1 7 1 6 6 1 4\n1 0 0 1 7 1 6 6 1 4\n1 1 1 1 7 1 6 6 1 4\n1 1 1 1 1 1 1 1 1 4\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n", "answer": "1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 0 0 1\n1 1 1 1 1 1 1 0 0 1\n1 1 1 1 1 1 1 1 7 1\n1 1 1 1 1 1 1 1 7 6\n1 1 1 1 1 1 1 1 6 6\n1 1 1 1 1 1 1 1 6 6\n1 1 1 1 1 1 1 1 1 4\n1 1 1 1 1 1 1 1 1 4\n1 1 1 1 1 1 1 1 1 4", "metadata": {"source_dataset": "arc_agi", "source_index": 201, "input": [[1, 0, 0, 1, 7, 1, 6, 6, 1, 4], [1, 0, 0, 1, 7, 1, 6, 6, 1, 4], [1, 1, 1, 1, 7, 1, 6, 6, 1, 4], [1, 1, 1, 1, 1, 1, 1, 1, 1, 4], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]], "output": [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 0, 0, 1], [1, 1, 1, 1, 1, 1, 1, 0, 0, 1], [1, 1, 1, 1, 1, 1, 1, 1, 7, 1], [1, 1, 1, 1, 1, 1, 1, 1, 7, 6], [1, 1, 1, 1, 1, 1, 1, 1, 6, 6], [1, 1, 1, 1, 1, 1, 1, 1, 6, 6], [1, 1, 1, 1, 1, 1, 1, 1, 1, 4], [1, 1, 1, 1, 1, 1, 1, 1, 1, 4], [1, 1, 1, 1, 1, 1, 1, 1, 1, 4]], "task_id": "03560426", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 201, "input": [[1, 0, 0, 1, 7, 1, 6, 6, 1, 4], [1, 0, 0, 1, 7, 1, 6, 6, 1, 4], [1, 1, 1, 1, 7, 1, 6, 6, 1, 4], [1, 1, 1, 1, 1, 1, 1, 1, 1, 4], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]], "output": [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 0, 0, 1], [1, 1, 1, 1, 1, 1, 1, 0, 0, 1], [1, 1, 1, 1, 1, 1, 1, 1, 7, 1], [1, 1, 1, 1, 1, 1, 1, 1, 7, 6], [1, 1, 1, 1, 1, 1, 1, 1, 6, 6], [1, 1, 1, 1, 1, 1, 1, 1, 6, 6], [1, 1, 1, 1, 1, 1, 1, 1, 1, 4], [1, 1, 1, 1, 1, 1, 1, 1, 1, 4], [1, 1, 1, 1, 1, 1, 1, 1, 1, 4]], "task_id": "03560426", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
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General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 7 7 5 7 7 7 7 5 7 7 5 5 5 5 5 7 7 5 7 7 7 7 5 7 0 Output: 7 7 7 0 Example 2: Input: 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 4 5 5 5 7 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 Output: 5 5 5 5 5 5 5 5 5 5 5 5 5 7 5 5 5 5 5 5 5 5 5 5 5 Example 3: Input: 0 0 0 2 0 0 0 0 4 0 2 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 2 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 Output: 0 0 0 0 4 0 0 0 0 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 2 4 3 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "4 4 4 4 4 4\n4 4 4 4 4 4\n4 4 4 4 4 4\n4 4 4 4 2 4\n4 4 4 4 4 4\n4 4 4 4 4 4", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n7 7 5 7 7\n7 7 5 7 7\n5 5 5 5 5\n7 7 5 7 7\n7 7 5 7 0\nOutput:\n7 7\n7 0\n\nExample 2:\n\nInput:\n5 5 5 5 5 4 5 5 5 5 5\n5 5 5 5 5 4 5 5 5 5 5\n5 5 5 5 5 4 5 5 5 7 5\n5 5 5 5 5 4 5 5 5 5 5\n5 5 5 5 5 4 5 5 5 5 5\n4 4 4 4 4 4 4 4 4 4 4\n5 5 5 5 5 4 5 5 5 5 5\n5 5 5 5 5 4 5 5 5 5 5\n5 5 5 5 5 4 5 5 5 5 5\n5 5 5 5 5 4 5 5 5 5 5\n5 5 5 5 5 4 5 5 5 5 5\nOutput:\n5 5 5 5 5\n5 5 5 5 5\n5 5 5 7 5\n5 5 5 5 5\n5 5 5 5 5\n\nExample 3:\n\nInput:\n0 0 0 2 0 0 0\n0 4 0 2 0 0 0\n0 0 0 2 0 0 0\n2 2 2 2 2 2 2\n0 0 0 2 0 0 0\n0 0 0 2 0 0 0\n0 0 0 2 0 0 0\nOutput:\n0 0 0\n0 4 0\n0 0 0\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n4 4 4 4 4 4 3 4 4 4 4 4 4\n4 4 4 4 4 4 3 4 4 4 4 4 4\n4 4 4 4 4 4 3 4 4 4 4 4 4\n4 4 4 4 2 4 3 4 4 4 4 4 4\n4 4 4 4 4 4 3 4 4 4 4 4 4\n4 4 4 4 4 4 3 4 4 4 4 4 4\n3 3 3 3 3 3 3 3 3 3 3 3 3\n4 4 4 4 4 4 3 4 4 4 4 4 4\n4 4 4 4 4 4 3 4 4 4 4 4 4\n4 4 4 4 4 4 3 4 4 4 4 4 4\n4 4 4 4 4 4 3 4 4 4 4 4 4\n4 4 4 4 4 4 3 4 4 4 4 4 4\n4 4 4 4 4 4 3 4 4 4 4 4 4\n", "answer": "4 4 4 4 4 4\n4 4 4 4 4 4\n4 4 4 4 4 4\n4 4 4 4 2 4\n4 4 4 4 4 4\n4 4 4 4 4 4", "metadata": {"source_dataset": "arc_agi", "source_index": 202, "input": [[4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 2, 4, 3, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4]], "output": [[4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 2, 4], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4]], "task_id": "2dc579da", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 202, "input": [[4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 2, 4, 3, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4]], "output": [[4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 2, 4], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4]], "task_id": "2dc579da", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
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General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 Output: 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 Example 2: Input: 4 4 4 4 4 4 4 4 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 Output: 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 Example 3: Input: 4 6 4 4 4 4 4 4 4 4 4 2 4 4 4 Output: 4 4 4 4 4 4 6 4 4 4 4 2 4 4 4 Example 4: Input: 4 4 4 4 4 4 4 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 Output: 4 4 4 4 4 4 4 4 4 4 4 4 6 4 4 4 4 4 4 4 4 4 2 4 4 Example 5: Input: 6 4 4 4 4 4 4 4 2 Output: 4 4 4 4 6 4 4 4 2 Example 6: Input: 4 4 2 4 4 4 6 4 4 Output: 4 4 2 4 6 4 4 4 4 Example 7: Input: 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 Output: 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4\n4 4 4 6 4 4 4 4 2 4 4\n4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4\n4 4 2 4 4 4 4 6 4 4\n4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4\nOutput:\n4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4\n4 4 2 4 4 4 6 4 4 4\n4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4\n\nExample 2:\n\nInput:\n4 4 4 4 4 4 4\n4 6 4 4 4 4 4\n4 4 4 4 4 4 4\n4 4 4 4 4 4 4\n4 4 4 4 2 4 4\n4 4 4 4 4 4 4\n4 4 4 4 4 4 4\nOutput:\n4 4 4 4 4 4 4\n4 4 4 4 4 4 4\n4 4 6 4 4 4 4\n4 4 4 4 4 4 4\n4 4 4 4 2 4 4\n4 4 4 4 4 4 4\n4 4 4 4 4 4 4\n\nExample 3:\n\nInput:\n4 6 4 4 4\n4 4 4 4 4\n4 2 4 4 4\nOutput:\n4 4 4 4 4\n4 6 4 4 4\n4 2 4 4 4\n\nExample 4:\n\nInput:\n4 4 4 4 4\n4 4 6 4 4\n4 4 4 4 4\n4 4 4 4 4\n4 4 2 4 4\nOutput:\n4 4 4 4 4\n4 4 4 4 4\n4 4 6 4 4\n4 4 4 4 4\n4 4 2 4 4\n\nExample 5:\n\nInput:\n6 4 4\n4 4 4\n4 4 2\nOutput:\n4 4 4\n4 6 4\n4 4 2\n\nExample 6:\n\nInput:\n4 4 2\n4 4 4\n6 4 4\nOutput:\n4 4 2\n4 6 4\n4 4 4\n\nExample 7:\n\nInput:\n4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4\n4 4 6 4 4 4 4 4 4 2 4\n4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4\nOutput:\n4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4\n4 4 4 6 4 4 4 4 4 2 4\n4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4\n4 4 6 4 4 4 4 4 2 4 4\n4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4\n", "answer": "4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4\n4 4 4 6 4 4 4 4 2 4 4\n4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4", "metadata": {"source_dataset": "arc_agi", "source_index": 203, "input": [[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 6, 4, 4, 4, 4, 4, 2, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]], "output": [[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 6, 4, 4, 4, 4, 2, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]], "task_id": "dc433765", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 203, "input": [[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 6, 4, 4, 4, 4, 4, 2, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]], "output": [[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 6, 4, 4, 4, 4, 2, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]], "task_id": "dc433765", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
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General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 0 0 4 4 4 0 0 0 0 0 0 0 4 4 4 4 0 0 0 0 0 4 4 4 0 0 0 0 0 0 0 4 4 4 4 0 0 0 0 0 4 4 4 0 0 0 0 0 0 0 4 4 4 4 0 0 0 0 0 4 4 4 0 0 0 0 0 0 0 4 4 4 4 0 0 0 0 0 4 4 4 0 0 0 0 0 0 0 4 4 4 4 0 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 0 4 4 4 0 0 0 0 0 0 0 4 4 4 4 0 0 0 0 0 4 4 4 0 0 0 2 0 0 0 4 4 4 4 0 0 0 0 0 4 4 4 0 0 0 0 0 0 0 4 4 4 4 0 0 0 Output: 0 0 4 4 4 0 0 0 0 0 0 0 9 4 4 4 0 0 2 0 0 4 4 4 0 0 0 0 0 0 2 4 4 4 4 0 2 0 2 0 4 4 4 0 0 0 0 0 2 0 4 4 4 4 2 0 0 0 2 4 4 4 0 0 0 0 2 0 0 4 4 4 9 0 0 0 0 0 9 4 4 0 0 0 2 0 0 0 4 4 9 4 0 0 0 4 4 4 9 4 4 4 9 4 4 4 4 4 9 4 4 4 4 4 4 4 4 4 9 4 9 4 4 4 4 4 9 4 4 4 4 4 4 4 4 4 4 4 9 4 4 4 4 4 9 4 4 4 4 4 4 4 4 4 4 4 9 4 9 4 4 4 9 4 4 4 4 4 4 4 4 0 0 4 9 4 0 0 2 0 2 0 0 4 4 4 4 0 0 0 0 0 9 4 4 0 0 0 2 0 0 0 4 4 4 4 0 0 0 0 2 4 4 4 0 0 2 0 2 0 0 4 4 4 4 0 0 0 Example 2: Input: 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 Output: 6 6 6 6 6 6 6 6 1 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6 1 6 1 6 6 6 1 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 1 6 6 6 6 6 6 6 1 6 1 6 6 6 6 6 1 6 6 6 6 6 1 6 6 6 1 6 1 2 2 2 0 2 2 2 0 2 2 2 2 2 0 2 2 2 2 2 0 2 0 2 2 2 2 2 0 2 0 2 2 2 2 2 0 2 2 2 2 2 0 2 2 2 2 2 2 2 0 2 0 2 2 2 0 2 2 2 2 6 6 6 1 6 6 6 1 6 1 6 6 6 6 6 6 6 1 6 6 6 6 6 1 6 6 6 6 6 6 6 1 6 6 6 6 6 1 6 1 6 6 6 6 6 1 6 6 6 6 6 1 6 6 6 1 6 6 6 6 2 2 2 2 2 0 2 2 2 2 2 0 2 2 2 2 2 2 2 0 2 2 2 2 2 2 2 0 2 2 Example 3: Input: 1 1 1 1 1 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2 0 1 1 1 1 1 1 1 1 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 4 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2 1 1 1 1 Output: 1 1 1 1 1 2 4 2 1 1 0 1 1 1 1 1 1 2 2 4 1 0 1 1 1 1 1 1 1 2 2 2 0 1 1 1 1 1 1 1 1 2 2 4 1 0 1 1 0 1 1 1 1 2 4 2 1 1 0 1 2 4 2 2 2 4 2 2 2 2 2 4 2 2 4 2 4 2 2 2 2 2 2 2 2 2 2 4 2 2 2 2 2 2 2 2 2 2 4 2 4 2 2 2 2 2 2 2 2 4 2 2 2 4 2 2 2 2 2 2 4 2 2 2 2 2 4 2 2 2 2 2 1 1 1 1 1 2 2 4 1 1 1 1 1 1 1 1 1 2 2 2 0 1 1 1 1 1 1 1 1 2 2 2 1 0 1 1 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 0 0 0 0 1 1 1 0 0 0 0 1 1 1 1 0 0 0 0 0 0 1 1 1 0 0 0 0 1 1 1 1 0 0 0 0 0 0 1 1 1 0 0 0 0 1 1 1 1 0 0 0 0 0 0 1 1 1 0 0 0 0 1 1 1 1 0 0 0 0 0 0 1 1 1 0 0 0 0 1 2 1 1 0 0 0 0 0 0 1 1 1 0 0 0 0 1 1 1 1 0 0 0 0 0 0 1 1 1 0 0 0 0 1 1 1 1 0 0 0 0 0 0 1 1 1 0 0 0 0 1 1 1 1 0 0 9 0 0 0 1 1 1 0 0 0 0 1 1 1 1 0 0 0 0 0 0 1 1 1 0 0 0 0 1 1 1 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 0 0 0 0 1 1 1 1 0 0 0 0 0 0 1 1 1 0 0 0 0 1 1 1 1 0 0 0 0 0 0 1 1 1 0 0 0 0 1 1 1 1 0 0
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "0 0 0 0 1 1 1 0 9 0 0 1 1 1 1 0 9\n0 0 0 0 1 1 1 9 0 9 0 1 1 1 1 9 0\n0 0 0 0 1 1 2 0 0 0 9 1 1 1 2 0 0\n0 0 0 0 1 2 1 0 0 0 0 2 1 2 1 0 0\n0 0 0 0 2 1 1 0 0 0 0 1 2 1 1 0 0\n0 0 0 9 1 1 1 0 0 0 0 2 1 2 1 0 0\n0 0 9 0 1 1 1 0 0 0 9 1 1 1 2 0 0\n0 9 0 0 1 1 1 0 0 9 0 1 1 1 1 9 0\n9 0 0 0 1 1 1 0 9 0 0 1 1 1 1 0 9\n0 9 0 0 1 1 1 9 0 0 0 1 1 1 1 0 0\n1 1 2 1 1 1 2 1 1 1 1 1 1 1 1 1 1\n1 1 1 2 1 2 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 2 1 2 1 1 1 1 1 1 1 1 1 1 1\n1 1 2 1 1 1 2 1 1 1 1 1 1 1 1 1 1\n1 2 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1\n9 0 0 0 1 1 1 0 9 0 0 1 1 1 1 0 0\n0 0 0 0 1 1 1 0 0 9 0 1 1 1 1 0 0\n0 0 0 0 1 1 1 0 0 0 9 1 1 1 1 0 0", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n0 0 4 4 4 0 0 0 0 0 0 0 4 4 4 4 0 0 0\n0 0 4 4 4 0 0 0 0 0 0 0 4 4 4 4 0 0 0\n0 0 4 4 4 0 0 0 0 0 0 0 4 4 4 4 0 0 0\n0 0 4 4 4 0 0 0 0 0 0 0 4 4 4 4 0 0 0\n0 0 4 4 4 0 0 0 0 0 0 0 4 4 4 4 0 0 0\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 9 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n0 0 4 4 4 0 0 0 0 0 0 0 4 4 4 4 0 0 0\n0 0 4 4 4 0 0 0 2 0 0 0 4 4 4 4 0 0 0\n0 0 4 4 4 0 0 0 0 0 0 0 4 4 4 4 0 0 0\nOutput:\n0 0 4 4 4 0 0 0 0 0 0 0 9 4 4 4 0 0 2\n0 0 4 4 4 0 0 0 0 0 0 2 4 4 4 4 0 2 0\n2 0 4 4 4 0 0 0 0 0 2 0 4 4 4 4 2 0 0\n0 2 4 4 4 0 0 0 0 2 0 0 4 4 4 9 0 0 0\n0 0 9 4 4 0 0 0 2 0 0 0 4 4 9 4 0 0 0\n4 4 4 9 4 4 4 9 4 4 4 4 4 9 4 4 4 4 4\n4 4 4 4 9 4 9 4 4 4 4 4 9 4 4 4 4 4 4\n4 4 4 4 4 9 4 4 4 4 4 9 4 4 4 4 4 4 4\n4 4 4 4 9 4 9 4 4 4 9 4 4 4 4 4 4 4 4\n0 0 4 9 4 0 0 2 0 2 0 0 4 4 4 4 0 0 0\n0 0 9 4 4 0 0 0 2 0 0 0 4 4 4 4 0 0 0\n0 2 4 4 4 0 0 2 0 2 0 0 4 4 4 4 0 0 0\n\nExample 2:\n\nInput:\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 1 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 0 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 1 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\nOutput:\n6 6 6 6 6 6 6 6 1 6 6 6 1 6 6\n6 6 6 6 6 6 6 6 6 1 6 1 6 6 6\n1 6 6 6 6 6 6 6 6 6 1 6 6 6 6\n6 1 6 6 6 6 6 6 6 1 6 1 6 6 6\n6 6 1 6 6 6 6 6 1 6 6 6 1 6 1\n2 2 2 0 2 2 2 0 2 2 2 2 2 0 2\n2 2 2 2 0 2 0 2 2 2 2 2 0 2 0\n2 2 2 2 2 0 2 2 2 2 2 0 2 2 2\n2 2 2 2 0 2 0 2 2 2 0 2 2 2 2\n6 6 6 1 6 6 6 1 6 1 6 6 6 6 6\n6 6 1 6 6 6 6 6 1 6 6 6 6 6 6\n6 1 6 6 6 6 6 1 6 1 6 6 6 6 6\n1 6 6 6 6 6 1 6 6 6 1 6 6 6 6\n2 2 2 2 2 0 2 2 2 2 2 0 2 2 2\n2 2 2 2 0 2 2 2 2 2 2 2 0 2 2\n\nExample 3:\n\nInput:\n1 1 1 1 1 2 2 2 1 1 1 1\n1 1 1 1 1 2 2 2 1 1 1 1\n1 1 1 1 1 2 2 2 0 1 1 1\n1 1 1 1 1 2 2 2 1 1 1 1\n1 1 1 1 1 2 2 2 1 1 1 1\n2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 4 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2\n1 1 1 1 1 2 2 2 1 1 1 1\n1 1 1 1 1 2 2 2 1 1 1 1\n1 1 1 1 1 2 2 2 1 1 1 1\nOutput:\n1 1 1 1 1 2 4 2 1 1 0 1\n1 1 1 1 1 2 2 4 1 0 1 1\n1 1 1 1 1 2 2 2 0 1 1 1\n1 1 1 1 1 2 2 4 1 0 1 1\n0 1 1 1 1 2 4 2 1 1 0 1\n2 4 2 2 2 4 2 2 2 2 2 4\n2 2 4 2 4 2 2 2 2 2 2 2\n2 2 2 4 2 2 2 2 2 2 2 2\n2 2 4 2 4 2 2 2 2 2 2 2\n2 4 2 2 2 4 2 2 2 2 2 2\n4 2 2 2 2 2 4 2 2 2 2 2\n1 1 1 1 1 2 2 4 1 1 1 1\n1 1 1 1 1 2 2 2 0 1 1 1\n1 1 1 1 1 2 2 2 1 0 1 1\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n0 0 0 0 1 1 1 0 0 0 0 1 1 1 1 0 0\n0 0 0 0 1 1 1 0 0 0 0 1 1 1 1 0 0\n0 0 0 0 1 1 1 0 0 0 0 1 1 1 1 0 0\n0 0 0 0 1 1 1 0 0 0 0 1 1 1 1 0 0\n0 0 0 0 1 1 1 0 0 0 0 1 2 1 1 0 0\n0 0 0 0 1 1 1 0 0 0 0 1 1 1 1 0 0\n0 0 0 0 1 1 1 0 0 0 0 1 1 1 1 0 0\n0 0 0 0 1 1 1 0 0 0 0 1 1 1 1 0 0\n9 0 0 0 1 1 1 0 0 0 0 1 1 1 1 0 0\n0 0 0 0 1 1 1 0 0 0 0 1 1 1 1 0 0\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n0 0 0 0 1 1 1 0 0 0 0 1 1 1 1 0 0\n0 0 0 0 1 1 1 0 0 0 0 1 1 1 1 0 0\n0 0 0 0 1 1 1 0 0 0 0 1 1 1 1 0 0\n", "answer": "0 0 0 0 1 1 1 0 9 0 0 1 1 1 1 0 9\n0 0 0 0 1 1 1 9 0 9 0 1 1 1 1 9 0\n0 0 0 0 1 1 2 0 0 0 9 1 1 1 2 0 0\n0 0 0 0 1 2 1 0 0 0 0 2 1 2 1 0 0\n0 0 0 0 2 1 1 0 0 0 0 1 2 1 1 0 0\n0 0 0 9 1 1 1 0 0 0 0 2 1 2 1 0 0\n0 0 9 0 1 1 1 0 0 0 9 1 1 1 2 0 0\n0 9 0 0 1 1 1 0 0 9 0 1 1 1 1 9 0\n9 0 0 0 1 1 1 0 9 0 0 1 1 1 1 0 9\n0 9 0 0 1 1 1 9 0 0 0 1 1 1 1 0 0\n1 1 2 1 1 1 2 1 1 1 1 1 1 1 1 1 1\n1 1 1 2 1 2 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 2 1 2 1 1 1 1 1 1 1 1 1 1 1\n1 1 2 1 1 1 2 1 1 1 1 1 1 1 1 1 1\n1 2 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1\n9 0 0 0 1 1 1 0 9 0 0 1 1 1 1 0 0\n0 0 0 0 1 1 1 0 0 9 0 1 1 1 1 0 0\n0 0 0 0 1 1 1 0 0 0 9 1 1 1 1 0 0", "metadata": {"source_dataset": "arc_agi", "source_index": 204, "input": [[0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0], [0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0], [0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0], [0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0], [0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0], [0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0], [0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0], [0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0], [9, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0], [0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0], [0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0], [0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0]], "output": [[0, 0, 0, 0, 1, 1, 1, 0, 9, 0, 0, 1, 1, 1, 1, 0, 9], [0, 0, 0, 0, 1, 1, 1, 9, 0, 9, 0, 1, 1, 1, 1, 9, 0], [0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 9, 1, 1, 1, 2, 0, 0], [0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0], [0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0], [0, 0, 0, 9, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0], [0, 0, 9, 0, 1, 1, 1, 0, 0, 0, 9, 1, 1, 1, 2, 0, 0], [0, 9, 0, 0, 1, 1, 1, 0, 0, 9, 0, 1, 1, 1, 1, 9, 0], [9, 0, 0, 0, 1, 1, 1, 0, 9, 0, 0, 1, 1, 1, 1, 0, 9], [0, 9, 0, 0, 1, 1, 1, 9, 0, 0, 0, 1, 1, 1, 1, 0, 0], [1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1], [9, 0, 0, 0, 1, 1, 1, 0, 9, 0, 0, 1, 1, 1, 1, 0, 0], [0, 0, 0, 0, 1, 1, 1, 0, 0, 9, 0, 1, 1, 1, 1, 0, 0], [0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 9, 1, 1, 1, 1, 0, 0]], "task_id": "d07ae81c", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 204, "input": [[0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0], [0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0], [0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0], [0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0], [0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0], [0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0], [0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0], [0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0], [9, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0], [0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0], [0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0], [0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0]], "output": [[0, 0, 0, 0, 1, 1, 1, 0, 9, 0, 0, 1, 1, 1, 1, 0, 9], [0, 0, 0, 0, 1, 1, 1, 9, 0, 9, 0, 1, 1, 1, 1, 9, 0], [0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 9, 1, 1, 1, 2, 0, 0], [0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0], [0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0], [0, 0, 0, 9, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0], [0, 0, 9, 0, 1, 1, 1, 0, 0, 0, 9, 1, 1, 1, 2, 0, 0], [0, 9, 0, 0, 1, 1, 1, 0, 0, 9, 0, 1, 1, 1, 1, 9, 0], [9, 0, 0, 0, 1, 1, 1, 0, 9, 0, 0, 1, 1, 1, 1, 0, 9], [0, 9, 0, 0, 1, 1, 1, 9, 0, 0, 0, 1, 1, 1, 1, 0, 0], [1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1], [9, 0, 0, 0, 1, 1, 1, 0, 9, 0, 0, 1, 1, 1, 1, 0, 0], [0, 0, 0, 0, 1, 1, 1, 0, 0, 9, 0, 1, 1, 1, 1, 0, 0], [0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 9, 1, 1, 1, 1, 0, 0]], "task_id": "d07ae81c", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
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General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 Output: 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 1 8 8 0 8 8 8 8 8 8 8 1 8 8 8 8 1 8 8 8 8 8 1 8 8 8 8 8 8 1 8 8 8 1 8 8 8 8 8 8 8 8 1 8 1 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 Example 2: Input: 4 4 4 8 8 8 8 8 8 8 8 8 4 4 4 8 8 8 8 8 8 8 8 8 4 4 4 8 8 8 8 8 8 8 8 8 4 4 4 8 8 8 8 8 8 8 8 8 4 4 4 8 8 8 8 8 8 8 8 8 4 4 4 8 8 8 8 8 8 8 8 8 4 4 4 8 8 8 8 8 8 8 8 8 4 4 4 8 8 8 8 8 8 8 8 8 4 4 4 8 8 8 8 8 8 8 8 8 4 4 4 8 8 8 8 0 8 8 8 8 4 4 4 8 8 8 8 8 0 8 8 8 4 4 4 8 8 8 8 8 8 0 8 8 Output: 4 4 4 8 8 8 8 8 1 8 8 8 4 4 4 8 8 8 8 1 8 8 8 8 4 4 4 8 8 8 1 8 8 8 8 8 4 4 4 8 8 1 8 8 8 8 8 8 4 4 4 8 1 8 8 8 8 8 8 8 4 4 4 1 8 8 8 8 8 8 8 8 4 4 4 8 1 8 8 8 8 8 8 8 4 4 4 8 8 1 8 8 8 8 8 8 4 4 4 8 8 8 1 8 8 8 8 8 4 4 4 8 8 8 8 0 8 8 8 8 4 4 4 8 8 8 8 8 0 8 8 8 4 4 4 8 8 8 8 8 8 0 8 8 Example 3: Input: 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 Output: 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 1 8 1 8 8 8 8 8 8 8 8 1 8 8 8 1 8 8 8 8 8 8 1 8 8 8 8 8 1 8 8 8 8 1 8 8 8 8 8 8 8 1 8 8 1 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4\n8 8 8 8 8 8 8 1 8 8 8 8\n8 8 8 8 8 8 1 8 1 8 8 8\n8 8 8 8 8 1 8 8 8 1 8 8\n8 8 8 8 1 8 8 8 8 8 0 8\n8 8 8 1 8 8 8 8 8 8 8 0\n8 8 1 8 8 8 8 8 8 8 8 8\n8 1 8 8 8 8 8 8 8 8 8 8\n1 8 8 8 8 8 8 8 8 8 8 8", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8\n0 8 8 8 8 8 8 8 8 8 8 8\n8 0 8 8 8 8 8 8 8 8 8 8\n8 8 0 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8\n4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4\nOutput:\n8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8\n0 8 8 8 8 8 8 8 8 8 8 8\n8 0 8 8 8 8 8 8 8 8 8 1\n8 8 0 8 8 8 8 8 8 8 1 8\n8 8 8 1 8 8 8 8 8 1 8 8\n8 8 8 8 1 8 8 8 1 8 8 8\n8 8 8 8 8 1 8 1 8 8 8 8\n8 8 8 8 8 8 1 8 8 8 8 8\n4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4\n\nExample 2:\n\nInput:\n4 4 4 8 8 8 8 8 8 8 8 8\n4 4 4 8 8 8 8 8 8 8 8 8\n4 4 4 8 8 8 8 8 8 8 8 8\n4 4 4 8 8 8 8 8 8 8 8 8\n4 4 4 8 8 8 8 8 8 8 8 8\n4 4 4 8 8 8 8 8 8 8 8 8\n4 4 4 8 8 8 8 8 8 8 8 8\n4 4 4 8 8 8 8 8 8 8 8 8\n4 4 4 8 8 8 8 8 8 8 8 8\n4 4 4 8 8 8 8 0 8 8 8 8\n4 4 4 8 8 8 8 8 0 8 8 8\n4 4 4 8 8 8 8 8 8 0 8 8\nOutput:\n4 4 4 8 8 8 8 8 1 8 8 8\n4 4 4 8 8 8 8 1 8 8 8 8\n4 4 4 8 8 8 1 8 8 8 8 8\n4 4 4 8 8 1 8 8 8 8 8 8\n4 4 4 8 1 8 8 8 8 8 8 8\n4 4 4 1 8 8 8 8 8 8 8 8\n4 4 4 8 1 8 8 8 8 8 8 8\n4 4 4 8 8 1 8 8 8 8 8 8\n4 4 4 8 8 8 1 8 8 8 8 8\n4 4 4 8 8 8 8 0 8 8 8 8\n4 4 4 8 8 8 8 8 0 8 8 8\n4 4 4 8 8 8 8 8 8 0 8 8\n\nExample 3:\n\nInput:\n4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4\n8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8\n8 0 8 8 8 8 8 8 8 8 8 8\n0 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8\nOutput:\n4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4\n8 8 8 8 8 8 8 1 8 8 8 8\n8 8 8 8 8 8 1 8 1 8 8 8\n8 8 8 8 8 1 8 8 8 1 8 8\n8 8 8 8 1 8 8 8 8 8 1 8\n8 8 8 1 8 8 8 8 8 8 8 1\n8 8 1 8 8 8 8 8 8 8 8 8\n8 0 8 8 8 8 8 8 8 8 8 8\n0 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4\n8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 0 8\n8 8 8 8 8 8 8 8 8 8 8 0\n8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8\n", "answer": "4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4\n8 8 8 8 8 8 8 1 8 8 8 8\n8 8 8 8 8 8 1 8 1 8 8 8\n8 8 8 8 8 1 8 8 8 1 8 8\n8 8 8 8 1 8 8 8 8 8 0 8\n8 8 8 1 8 8 8 8 8 8 8 0\n8 8 1 8 8 8 8 8 8 8 8 8\n8 1 8 8 8 8 8 8 8 8 8 8\n1 8 8 8 8 8 8 8 8 8 8 8", "metadata": {"source_dataset": "arc_agi", "source_index": 205, "input": [[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]], "output": [[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 1, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 1, 8, 1, 8, 8, 8], [8, 8, 8, 8, 8, 1, 8, 8, 8, 1, 8, 8], [8, 8, 8, 8, 1, 8, 8, 8, 8, 8, 0, 8], [8, 8, 8, 1, 8, 8, 8, 8, 8, 8, 8, 0], [8, 8, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]], "task_id": "508bd3b6", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 205, "input": [[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]], "output": [[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 1, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 1, 8, 1, 8, 8, 8], [8, 8, 8, 8, 8, 1, 8, 8, 8, 1, 8, 8], [8, 8, 8, 8, 1, 8, 8, 8, 8, 8, 0, 8], [8, 8, 8, 1, 8, 8, 8, 8, 8, 8, 8, 0], [8, 8, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]], "task_id": "508bd3b6", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
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General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 2 9 2 9 8 2 9 9 2 9 9 2 9 8 2 2 9 9 9 2 9 2 8 2 2 9 2 2 2 9 2 8 2 9 2 9 9 2 2 9 8 2 9 2 2 2 9 2 9 8 2 2 2 9 Output: 1 9 1 1 1 1 1 9 1 1 9 1 1 1 1 1 1 1 1 1 1 1 1 9 Example 2: Input: 2 2 9 2 8 9 2 9 2 9 2 2 2 8 9 2 9 2 9 2 9 2 8 2 9 2 2 2 9 9 2 8 9 9 2 9 9 2 2 2 8 2 2 9 9 9 9 9 2 8 2 9 2 2 Output: 1 1 9 1 9 1 1 1 1 1 1 1 1 9 1 1 1 1 1 1 1 9 1 1 Example 3: Input: 9 9 9 9 8 2 2 2 2 9 9 9 2 8 2 9 2 9 9 9 2 9 8 9 9 9 2 9 9 9 9 8 9 2 2 9 2 2 2 2 8 9 2 9 2 9 9 9 9 8 2 2 2 9 Output: 1 1 1 1 1 9 1 1 9 9 1 1 9 1 1 9 1 1 1 1 1 1 1 9 Example 4: Input: 2 2 9 9 8 2 2 9 9 9 9 9 9 8 2 2 2 9 9 2 9 2 8 9 9 2 9 2 9 2 2 8 2 2 2 9 2 2 9 2 8 2 2 2 9 9 9 9 2 8 2 9 2 9 Output: 1 1 9 9 1 1 1 9 9 1 1 1 1 1 1 1 1 1 1 1 1 9 1 1 Example 5: Input: 9 9 2 2 8 2 9 9 9 9 9 2 9 8 2 2 9 9 9 2 2 9 8 2 2 9 2 9 9 2 2 8 9 2 2 2 2 9 9 2 8 2 2 9 2 2 2 2 2 8 9 9 9 9 Output: 1 9 1 1 1 1 1 9 1 1 1 1 9 1 1 1 1 1 9 1 1 1 1 1 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 9 2 9 9 8 9 2 9 9 2 9 2 2 8 2 2 9 2 2 9 2 2 8 2 9 9 9 9 2 2 2 8 9 2 9 2 2 2 2 2 8 9 9 2 9 2 9 2 9 8 2 9 2 2
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "9 1 9 9\n1 1 1 1\n1 9 1 1\n9 1 1 1\n1 1 1 1\n1 9 1 1", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n2 9 2 9 8 2 9 9 2\n9 9 2 9 8 2 2 9 9\n9 2 9 2 8 2 2 9 2\n2 2 9 2 8 2 9 2 9\n9 2 2 9 8 2 9 2 2\n2 9 2 9 8 2 2 2 9\nOutput:\n1 9 1 1\n1 1 1 9\n1 1 9 1\n1 1 1 1\n1 1 1 1\n1 1 1 9\n\nExample 2:\n\nInput:\n2 2 9 2 8 9 2 9 2\n9 2 2 2 8 9 2 9 2\n9 2 9 2 8 2 9 2 2\n2 9 9 2 8 9 9 2 9\n9 2 2 2 8 2 2 9 9\n9 9 9 2 8 2 9 2 2\nOutput:\n1 1 9 1\n9 1 1 1\n1 1 1 1\n1 9 1 1\n1 1 1 1\n1 9 1 1\n\nExample 3:\n\nInput:\n9 9 9 9 8 2 2 2 2\n9 9 9 2 8 2 9 2 9\n9 9 2 9 8 9 9 9 2\n9 9 9 9 8 9 2 2 9\n2 2 2 2 8 9 2 9 2\n9 9 9 9 8 2 2 2 9\nOutput:\n1 1 1 1\n1 9 1 1\n9 9 1 1\n9 1 1 9\n1 1 1 1\n1 1 1 9\n\nExample 4:\n\nInput:\n2 2 9 9 8 2 2 9 9\n9 9 9 9 8 2 2 2 9\n9 2 9 2 8 9 9 2 9\n2 9 2 2 8 2 2 2 9\n2 2 9 2 8 2 2 2 9\n9 9 9 2 8 2 9 2 9\nOutput:\n1 1 9 9\n1 1 1 9\n9 1 1 1\n1 1 1 1\n1 1 1 1\n1 9 1 1\n\nExample 5:\n\nInput:\n9 9 2 2 8 2 9 9 9\n9 9 2 9 8 2 2 9 9\n9 2 2 9 8 2 2 9 2\n9 9 2 2 8 9 2 2 2\n2 9 9 2 8 2 2 9 2\n2 2 2 2 8 9 9 9 9\nOutput:\n1 9 1 1\n1 1 1 9\n1 1 1 1\n9 1 1 1\n1 1 9 1\n1 1 1 1\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n9 2 9 9 8 9 2 9 9\n2 9 2 2 8 2 2 9 2\n2 9 2 2 8 2 9 9 9\n9 2 2 2 8 9 2 9 2\n2 2 2 2 8 9 9 2 9\n2 9 2 9 8 2 9 2 2\n", "answer": "9 1 9 9\n1 1 1 1\n1 9 1 1\n9 1 1 1\n1 1 1 1\n1 9 1 1", "metadata": {"source_dataset": "arc_agi", "source_index": 206, "input": [[9, 2, 9, 9, 8, 9, 2, 9, 9], [2, 9, 2, 2, 8, 2, 2, 9, 2], [2, 9, 2, 2, 8, 2, 9, 9, 9], [9, 2, 2, 2, 8, 9, 2, 9, 2], [2, 2, 2, 2, 8, 9, 9, 2, 9], [2, 9, 2, 9, 8, 2, 9, 2, 2]], "output": [[9, 1, 9, 9], [1, 1, 1, 1], [1, 9, 1, 1], [9, 1, 1, 1], [1, 1, 1, 1], [1, 9, 1, 1]], "task_id": "5d2a5c43", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 206, "input": [[9, 2, 9, 9, 8, 9, 2, 9, 9], [2, 9, 2, 2, 8, 2, 2, 9, 2], [2, 9, 2, 2, 8, 2, 9, 9, 9], [9, 2, 2, 2, 8, 9, 2, 9, 2], [2, 2, 2, 2, 8, 9, 9, 2, 9], [2, 9, 2, 9, 8, 2, 9, 2, 2]], "output": [[9, 1, 9, 9], [1, 1, 1, 1], [1, 9, 1, 1], [9, 1, 1, 1], [1, 1, 1, 1], [1, 9, 1, 1]], "task_id": "5d2a5c43", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
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General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 6 6 6 6 6 6 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 3 3 3 3 3 Output: 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 6 4 4 4 4 6 7 7 6 4 2 2 4 6 7 7 6 4 2 2 4 6 7 7 6 4 4 4 4 6 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 Example 2: Input: 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 3 3 6 3 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 3 3 6 3 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 3 3 6 3 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 3 3 6 3 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 Output: 0 0 0 0 0 0 0 6 6 6 6 0 0 6 5 5 6 0 0 6 5 5 6 0 0 6 6 6 6 0 0 0 0 0 0 0 Example 3: Input: 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 6 6 6 6 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 1 1 1 1 1 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 Output: 1 1 1 1 1 1 6 6 6 1 1 6 7 6 1 1 6 6 6 1 1 1 1 1 1 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 6 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "7 7 7 7 7 7 7\n7 5 5 5 5 5 7\n7 5 2 2 2 5 7\n7 5 2 6 2 5 7\n7 5 2 2 2 5 7\n7 5 5 5 5 5 7\n7 7 7 7 7 7 7", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 6 6 6 6 6 6 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 3 3 3 3 3\nOutput:\n7 7 7 7 7 7 7 7\n7 6 6 6 6 6 6 7\n7 6 4 4 4 4 6 7\n7 6 4 2 2 4 6 7\n7 6 4 2 2 4 6 7\n7 6 4 4 4 4 6 7\n7 6 6 6 6 6 6 7\n7 7 7 7 7 7 7 7\n\nExample 2:\n\nInput:\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3\n3 3 3 3 6 3 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3\n3 3 3 3 6 3 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3\n3 3 3 3 6 3 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3\n3 3 3 3 6 3 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\nOutput:\n0 0 0 0 0 0\n0 6 6 6 6 0\n0 6 5 5 6 0\n0 6 5 5 6 0\n0 6 6 6 6 0\n0 0 0 0 0 0\n\nExample 3:\n\nInput:\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 6 6 6 6 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 1 1 1 1 1 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\nOutput:\n1 1 1 1 1\n1 6 6 6 1\n1 6 7 6 1\n1 6 6 6 1\n1 1 1 1 1\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 7 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 7 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 7 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 7 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 7 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 7 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 7 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 6 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n", "answer": "7 7 7 7 7 7 7\n7 5 5 5 5 5 7\n7 5 2 2 2 5 7\n7 5 2 6 2 5 7\n7 5 2 2 2 5 7\n7 5 5 5 5 5 7\n7 7 7 7 7 7 7", "metadata": {"source_dataset": "arc_agi", "source_index": 207, "input": [[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]], "output": [[7, 7, 7, 7, 7, 7, 7], [7, 5, 5, 5, 5, 5, 7], [7, 5, 2, 2, 2, 5, 7], [7, 5, 2, 6, 2, 5, 7], [7, 5, 2, 2, 2, 5, 7], [7, 5, 5, 5, 5, 5, 7], [7, 7, 7, 7, 7, 7, 7]], "task_id": "3ee1011a", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 207, "input": [[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]], "output": [[7, 7, 7, 7, 7, 7, 7], [7, 5, 5, 5, 5, 5, 7], [7, 5, 2, 2, 2, 5, 7], [7, 5, 2, 6, 2, 5, 7], [7, 5, 2, 2, 2, 5, 7], [7, 5, 5, 5, 5, 5, 7], [7, 7, 7, 7, 7, 7, 7]], "task_id": "3ee1011a", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
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General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 1 6 1 6 4 6 6 6 6 6 6 6 1 6 9 6 6 6 6 6 6 6 6 6 9 6 6 6 6 6 6 6 6 6 6 6 Output: 1 1 4 1 9 6 9 6 6 Example 2: Input: 9 6 6 6 0 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 0 6 6 6 6 6 6 6 Output: 9 6 0 6 1 6 6 6 0 Example 3: Input: 4 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 9 6 6 6 6 6 6 6 1 6 5 6 6 6 6 6 6 6 6 6 Output: 4 5 6 6 6 9 1 5 6 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 4 6 7 6 7 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 3 6 9 6 9 6 6 6 6 6 6 6
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "4 7 7\n4 6 6\n3 9 9", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n1 6 1 6 4 6\n6 6 6 6 6 6\n1 6 9 6 6 6\n6 6 6 6 6 6\n9 6 6 6 6 6\n6 6 6 6 6 6\nOutput:\n1 1 4\n1 9 6\n9 6 6\n\nExample 2:\n\nInput:\n9 6 6 6 0 6\n6 6 6 6 6 6\n6 6 1 6 6 6\n6 6 6 6 6 6\n6 6 6 6 0 6\n6 6 6 6 6 6\nOutput:\n9 6 0\n6 1 6\n6 6 0\n\nExample 3:\n\nInput:\n4 6 5 6 6 6\n6 6 6 6 6 6\n6 6 6 6 9 6\n6 6 6 6 6 6\n1 6 5 6 6 6\n6 6 6 6 6 6\nOutput:\n4 5 6\n6 6 9\n1 5 6\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n4 6 7 6 7 6\n6 6 6 6 6 6\n4 6 6 6 6 6\n6 6 6 6 6 6\n3 6 9 6 9 6\n6 6 6 6 6 6\n", "answer": "4 7 7\n4 6 6\n3 9 9", "metadata": {"source_dataset": "arc_agi", "source_index": 208, "input": [[4, 6, 7, 6, 7, 6], [6, 6, 6, 6, 6, 6], [4, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [3, 6, 9, 6, 9, 6], [6, 6, 6, 6, 6, 6]], "output": [[4, 7, 7], [4, 6, 6], [3, 9, 9]], "task_id": "68b67ca3", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 208, "input": [[4, 6, 7, 6, 7, 6], [6, 6, 6, 6, 6, 6], [4, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6], [3, 6, 9, 6, 9, 6], [6, 6, 6, 6, 6, 6]], "output": [[4, 7, 7], [4, 6, 6], [3, 9, 9]], "task_id": "68b67ca3", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null
General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 6 1 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 6 1 6 1 6 1 6 1 1 1 6 6 6 6 6 6 6 6 6 6 6 6 6 1 1 1 1 1 1 1 1 1 1 1 1 1 1 6 1 6 1 6 1 6 1 6 1 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 1 1 1 1 1 1 1 1 1 1 1 1 1 1 6 1 6 1 1 1 6 1 6 1 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 6 1 1 1 1 1 1 1 Output: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 6 1 6 1 6 1 6 1 6 1 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 1 1 1 1 1 1 1 1 1 1 1 1 1 1 6 1 6 1 1 1 6 1 6 1 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 6 1 6 1 6 1 6 1 1 1 6 6 6 6 6 6 6 6 6 6 6 6 6 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 6 1 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 6 1 1 1 1 1 1 1 Example 2: Input: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 2 6 2 2 2 6 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 2 6 2 2 2 6 2 6 2 6 2 6 6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 2 6 2 2 2 2 2 6 2 6 2 6 6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 2 2 2 6 2 2 2 2 2 2 2 Output: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 2 6 2 2 2 6 2 6 2 6 2 6 6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 2 6 2 2 2 2 2 6 2 6 2 6 6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 2 6 2 2 2 6 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 2 2 2 6 2 2 2 2 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 2 2 2 Example 3: Input: 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 4 4 4 4 4 4 4 6 4 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 4 6 4 6 4 4 4 6 4 4 4 6 6 6 6 6 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 4 4 4 6 4 4 4 6 6 6 6 6 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 4 6 4 6 4 6 4 6 4 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 4 4 4 6 4 6 4 6 4 6 4 Output: 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 4 6 4 6 4 6 4 6 4 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 4 4 4 6 4 6 4 6 4 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 4 6 4 6 4 4 4 6 4 4 4 6 6 6 6 6 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 4 4 4 4 4 4 4 6 4 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 4 4 4 6 4 4 4 Example 4: Input: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 6 1 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 1 1 1 1 1 1 1 1 1 1 1 1 1 1 6 1 6 1 1 1 1 1 6 1 1 1 6 6 6 6 6 6 6 6 6 6 6 6 6 1 1 1 1 1 1 1 1 1 1 1 1 1 1 6 1 6 1 6 1 6 1 6 1 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 1 1 1 1 1 1 1 1 1 1 1 1 1 1 6 1 1 1 6 1 6 1 6 1 6 1 Output: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 6 1 6 1 6 1 6 1 6 1 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 1 1 1 1 1 1 1 1 1 1 1 1 1 1 6 1 1 1 6 1 6 1 6 1 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 1 1 1 1 1 1 1 1 1 1 1 1 1 1 6 1 6 1 1 1 1 1 6 1 1 1 6 6 6 6 6 6 6 6 6 6 6 6 6 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 6 1 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 6 1 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 4 4 4 4 4 4 4 4 4 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 4 6 4 4 4 6 4 4 4 6 6 6 6 6 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 4 6 4 6 4 6 4 6 4 4 4 6 6 6 6 6 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 4 6 4 6 4 6 4
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "4 4 4 4 4 4 4 4 4 4 4 4 4\n4 6 4 6 4 6 4 6 4 6 4 4 4\n6 6 6 6 6 6 6 6 6 6 6 6 6\n4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 6 4 6 4 6 4 6 4\n6 6 6 6 6 6 6 6 6 6 6 6 6\n4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 6 4 6 4 4 4 6 4 4 4\n6 6 6 6 6 6 6 6 6 6 6 6 6\n4 4 4 4 4 4 4 4 4 4 4 4 4\n4 6 4 4 4 4 4 4 4 4 4 6 4\n6 6 6 6 6 6 6 6 6 6 6 6 6\n4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 6 4", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 6 1 6 1\n6 6 6 6 6 6 6 6 6 6 6 6 6\n1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 6 1 6 1 6 1 6 1 1 1\n6 6 6 6 6 6 6 6 6 6 6 6 6\n1 1 1 1 1 1 1 1 1 1 1 1 1\n1 6 1 6 1 6 1 6 1 6 1 6 1\n6 6 6 6 6 6 6 6 6 6 6 6 6\n1 1 1 1 1 1 1 1 1 1 1 1 1\n1 6 1 6 1 1 1 6 1 6 1 6 1\n6 6 6 6 6 6 6 6 6 6 6 6 6\n1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 6 1 1 1 1 1 1 1\nOutput:\n1 1 1 1 1 1 1 1 1 1 1 1 1\n1 6 1 6 1 6 1 6 1 6 1 6 1\n6 6 6 6 6 6 6 6 6 6 6 6 6\n1 1 1 1 1 1 1 1 1 1 1 1 1\n1 6 1 6 1 1 1 6 1 6 1 6 1\n6 6 6 6 6 6 6 6 6 6 6 6 6\n1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 6 1 6 1 6 1 6 1 1 1\n6 6 6 6 6 6 6 6 6 6 6 6 6\n1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 6 1 6 1\n6 6 6 6 6 6 6 6 6 6 6 6 6\n1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 6 1 1 1 1 1 1 1\n\nExample 2:\n\nInput:\n2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 6 2 6 2 2 2 6 2 2 2\n6 6 6 6 6 6 6 6 6 6 6 6 6\n2 2 2 2 2 2 2 2 2 2 2 2 2\n2 6 2 6 2 2 2 6 2 6 2 6 2\n6 6 6 6 6 6 6 6 6 6 6 6 6\n2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 6 2 2 2\n6 6 6 6 6 6 6 6 6 6 6 6 6\n2 2 2 2 2 2 2 2 2 2 2 2 2\n2 6 2 6 2 2 2 2 2 6 2 6 2\n6 6 6 6 6 6 6 6 6 6 6 6 6\n2 2 2 2 2 2 2 2 2 2 2 2 2\n2 6 2 2 2 6 2 2 2 2 2 2 2\nOutput:\n2 2 2 2 2 2 2 2 2 2 2 2 2\n2 6 2 6 2 2 2 6 2 6 2 6 2\n6 6 6 6 6 6 6 6 6 6 6 6 6\n2 2 2 2 2 2 2 2 2 2 2 2 2\n2 6 2 6 2 2 2 2 2 6 2 6 2\n6 6 6 6 6 6 6 6 6 6 6 6 6\n2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 6 2 6 2 2 2 6 2 2 2\n6 6 6 6 6 6 6 6 6 6 6 6 6\n2 2 2 2 2 2 2 2 2 2 2 2 2\n2 6 2 2 2 6 2 2 2 2 2 2 2\n6 6 6 6 6 6 6 6 6 6 6 6 6\n2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 6 2 2 2\n\nExample 3:\n\nInput:\n4 4 4 4 4 4 4 4 4 4 4 4 4\n4 6 4 4 4 4 4 4 4 6 4 6 4\n6 6 6 6 6 6 6 6 6 6 6 6 6\n4 4 4 4 4 4 4 4 4 4 4 4 4\n4 6 4 6 4 6 4 4 4 6 4 4 4\n6 6 6 6 6 6 6 6 6 6 6 6 6\n4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 6 4 4 4 6 4 4 4\n6 6 6 6 6 6 6 6 6 6 6 6 6\n4 4 4 4 4 4 4 4 4 4 4 4 4\n4 6 4 6 4 6 4 6 4 6 4 6 4\n6 6 6 6 6 6 6 6 6 6 6 6 6\n4 4 4 4 4 4 4 4 4 4 4 4 4\n4 6 4 4 4 6 4 6 4 6 4 6 4\nOutput:\n4 4 4 4 4 4 4 4 4 4 4 4 4\n4 6 4 6 4 6 4 6 4 6 4 6 4\n6 6 6 6 6 6 6 6 6 6 6 6 6\n4 4 4 4 4 4 4 4 4 4 4 4 4\n4 6 4 4 4 6 4 6 4 6 4 6 4\n6 6 6 6 6 6 6 6 6 6 6 6 6\n4 4 4 4 4 4 4 4 4 4 4 4 4\n4 6 4 6 4 6 4 4 4 6 4 4 4\n6 6 6 6 6 6 6 6 6 6 6 6 6\n4 4 4 4 4 4 4 4 4 4 4 4 4\n4 6 4 4 4 4 4 4 4 6 4 6 4\n6 6 6 6 6 6 6 6 6 6 6 6 6\n4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 6 4 4 4 6 4 4 4\n\nExample 4:\n\nInput:\n1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 6 1 6 1\n6 6 6 6 6 6 6 6 6 6 6 6 6\n1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 6 1\n6 6 6 6 6 6 6 6 6 6 6 6 6\n1 1 1 1 1 1 1 1 1 1 1 1 1\n1 6 1 6 1 1 1 1 1 6 1 1 1\n6 6 6 6 6 6 6 6 6 6 6 6 6\n1 1 1 1 1 1 1 1 1 1 1 1 1\n1 6 1 6 1 6 1 6 1 6 1 6 1\n6 6 6 6 6 6 6 6 6 6 6 6 6\n1 1 1 1 1 1 1 1 1 1 1 1 1\n1 6 1 1 1 6 1 6 1 6 1 6 1\nOutput:\n1 1 1 1 1 1 1 1 1 1 1 1 1\n1 6 1 6 1 6 1 6 1 6 1 6 1\n6 6 6 6 6 6 6 6 6 6 6 6 6\n1 1 1 1 1 1 1 1 1 1 1 1 1\n1 6 1 1 1 6 1 6 1 6 1 6 1\n6 6 6 6 6 6 6 6 6 6 6 6 6\n1 1 1 1 1 1 1 1 1 1 1 1 1\n1 6 1 6 1 1 1 1 1 6 1 1 1\n6 6 6 6 6 6 6 6 6 6 6 6 6\n1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 6 1 6 1\n6 6 6 6 6 6 6 6 6 6 6 6 6\n1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 6 1\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n4 4 4 4 4 4 4 4 4 4 4 4 4\n4 6 4 4 4 4 4 4 4 4 4 6 4\n6 6 6 6 6 6 6 6 6 6 6 6 6\n4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 6 4 6 4 4 4 6 4 4 4\n6 6 6 6 6 6 6 6 6 6 6 6 6\n4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 6 4\n6 6 6 6 6 6 6 6 6 6 6 6 6\n4 4 4 4 4 4 4 4 4 4 4 4 4\n4 6 4 6 4 6 4 6 4 6 4 4 4\n6 6 6 6 6 6 6 6 6 6 6 6 6\n4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 6 4 6 4 6 4 6 4\n", "answer": "4 4 4 4 4 4 4 4 4 4 4 4 4\n4 6 4 6 4 6 4 6 4 6 4 4 4\n6 6 6 6 6 6 6 6 6 6 6 6 6\n4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 6 4 6 4 6 4 6 4\n6 6 6 6 6 6 6 6 6 6 6 6 6\n4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 6 4 6 4 4 4 6 4 4 4\n6 6 6 6 6 6 6 6 6 6 6 6 6\n4 4 4 4 4 4 4 4 4 4 4 4 4\n4 6 4 4 4 4 4 4 4 4 4 6 4\n6 6 6 6 6 6 6 6 6 6 6 6 6\n4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 6 4", "metadata": {"source_dataset": "arc_agi", "source_index": 209, "input": [[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 4], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 6, 4, 6, 4, 4, 4, 6, 4, 4, 4], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 4], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 4, 4], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 6, 4, 6, 4, 6, 4, 6, 4]], "output": [[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 4, 4], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 6, 4, 6, 4, 6, 4, 6, 4], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 6, 4, 6, 4, 4, 4, 6, 4, 4, 4], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 4], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 4]], "task_id": "85b81ff1", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 209, "input": [[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 4], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 6, 4, 6, 4, 4, 4, 6, 4, 4, 4], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 4], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 4, 4], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 6, 4, 6, 4, 6, 4, 6, 4]], "output": [[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 4, 4], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 6, 4, 6, 4, 6, 4, 6, 4], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 6, 4, 6, 4, 4, 4, 6, 4, 4, 4], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 4], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 4]], "task_id": "85b81ff1", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null
General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 2 5 5 5 5 5 5 5 5 5 5 7 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 5 5 5 5 2 5 Output: 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 2 2 2 2 2 2 2 2 2 2 5 7 7 7 7 7 5 5 5 5 2 5 5 5 5 5 7 5 5 5 5 2 5 5 5 5 5 7 5 5 5 5 2 5 5 5 5 5 7 5 5 5 5 2 5 5 5 5 5 7 5 5 5 5 2 5 5 5 5 5 7 5 5 5 5 2 5 Example 2: Input: 5 5 5 5 2 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 2 5 5 5 5 5 5 5 5 5 5 5 5 5 5 8 5 5 5 5 5 5 5 5 5 5 5 5 5 5 1 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 1 5 5 5 5 5 5 5 5 5 5 5 5 Output: 5 5 5 5 2 5 5 5 5 5 5 5 5 5 5 5 5 5 5 2 5 5 5 5 5 5 5 5 5 5 5 5 5 5 2 5 5 5 5 5 5 5 5 5 5 5 5 5 5 2 5 5 5 5 5 5 5 5 5 5 5 5 5 5 2 5 5 5 5 5 5 5 5 5 5 2 2 2 2 2 5 5 5 5 5 5 5 5 5 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 1 1 5 5 5 5 5 5 5 5 5 5 5 5 5 5 1 5 5 5 5 5 5 5 5 5 5 5 5 5 5 1 5 5 5 5 5 5 5 5 5 5 5 5 5 5 1 5 5 5 5 5 5 5 5 5 5 5 5 5 5 1 5 5 5 5 5 5 5 5 5 5 5 5 5 5 1 5 5 5 5 5 5 5 5 5 5 5 5 5 5 1 5 5 5 5 5 5 5 5 5 5 5 5 5 5 1 5 5 5 5 5 5 5 5 5 5 5 5 Example 3: Input: 5 5 5 5 8 5 5 5 1 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 8 5 5 5 5 5 5 5 5 5 5 5 1 5 5 5 5 5 5 5 5 5 5 5 3 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 3 5 5 5 5 5 5 Output: 5 5 5 5 8 5 5 5 1 5 5 5 5 5 5 5 8 5 5 5 1 5 5 5 5 5 5 5 8 5 5 5 1 5 5 5 5 5 5 5 8 5 5 5 1 5 5 5 8 8 8 8 8 5 5 5 1 5 5 5 1 1 1 1 1 1 1 1 1 5 5 5 3 3 3 3 3 3 5 5 5 5 5 5 5 5 5 5 5 3 5 5 5 5 5 5 5 5 5 5 5 3 5 5 5 5 5 5 5 5 5 5 5 3 5 5 5 5 5 5 5 5 5 5 5 3 5 5 5 5 5 5 5 5 5 5 5 3 5 5 5 5 5 5 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 3 5 5 5 5 5 5 5 5 5 5 8 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 8 5
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "5 5 5 5 5 5 5 6 5 5 5\n5 5 5 5 5 5 5 6 5 5 5\n5 5 5 5 5 5 5 6 5 5 5\n6 6 6 6 6 6 6 6 5 5 5\n3 3 3 3 3 3 3 3 3 3 3\n8 8 8 8 8 8 8 8 8 8 5\n5 5 5 5 5 5 5 5 5 8 5\n5 5 5 5 5 5 5 5 5 8 5\n5 5 5 5 5 5 5 5 5 8 5\n5 5 5 5 5 5 5 5 5 8 5\n5 5 5 5 5 5 5 5 5 8 5", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n5 5 5 5 6 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5\n6 5 5 5 5 5 5 5 5 5 5\n2 5 5 5 5 5 5 5 5 5 5\n7 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 7 5 5 5 5 2 5\nOutput:\n5 5 5 5 6 5 5 5 5 5 5\n5 5 5 5 6 5 5 5 5 5 5\n5 5 5 5 6 5 5 5 5 5 5\n6 6 6 6 6 5 5 5 5 5 5\n2 2 2 2 2 2 2 2 2 2 5\n7 7 7 7 7 5 5 5 5 2 5\n5 5 5 5 7 5 5 5 5 2 5\n5 5 5 5 7 5 5 5 5 2 5\n5 5 5 5 7 5 5 5 5 2 5\n5 5 5 5 7 5 5 5 5 2 5\n5 5 5 5 7 5 5 5 5 2 5\n\nExample 2:\n\nInput:\n5 5 5 5 2 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n2 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n8 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n1 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 1 5 5 5 5 5 5 5 5 5 5 5 5\nOutput:\n5 5 5 5 2 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 2 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 2 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 2 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 2 5 5 5 5 5 5 5 5 5 5\n2 2 2 2 2 5 5 5 5 5 5 5 5 5 5\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n1 1 1 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 1 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 1 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 1 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 1 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 1 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 1 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 1 5 5 5 5 5 5 5 5 5 5 5 5\n\nExample 3:\n\nInput:\n5 5 5 5 8 5 5 5 1 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5\n8 5 5 5 5 5 5 5 5 5 5 5\n1 5 5 5 5 5 5 5 5 5 5 5\n3 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 3 5 5 5 5 5 5\nOutput:\n5 5 5 5 8 5 5 5 1 5 5 5\n5 5 5 5 8 5 5 5 1 5 5 5\n5 5 5 5 8 5 5 5 1 5 5 5\n5 5 5 5 8 5 5 5 1 5 5 5\n8 8 8 8 8 5 5 5 1 5 5 5\n1 1 1 1 1 1 1 1 1 5 5 5\n3 3 3 3 3 3 5 5 5 5 5 5\n5 5 5 5 5 3 5 5 5 5 5 5\n5 5 5 5 5 3 5 5 5 5 5 5\n5 5 5 5 5 3 5 5 5 5 5 5\n5 5 5 5 5 3 5 5 5 5 5 5\n5 5 5 5 5 3 5 5 5 5 5 5\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n5 5 5 5 5 5 5 6 5 5 5\n5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5\n6 5 5 5 5 5 5 5 5 5 5\n3 5 5 5 5 5 5 5 5 5 5\n8 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 8 5\n", "answer": "5 5 5 5 5 5 5 6 5 5 5\n5 5 5 5 5 5 5 6 5 5 5\n5 5 5 5 5 5 5 6 5 5 5\n6 6 6 6 6 6 6 6 5 5 5\n3 3 3 3 3 3 3 3 3 3 3\n8 8 8 8 8 8 8 8 8 8 5\n5 5 5 5 5 5 5 5 5 8 5\n5 5 5 5 5 5 5 5 5 8 5\n5 5 5 5 5 5 5 5 5 8 5\n5 5 5 5 5 5 5 5 5 8 5\n5 5 5 5 5 5 5 5 5 8 5", "metadata": {"source_dataset": "arc_agi", "source_index": 210, "input": [[5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 5]], "output": [[5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5], [6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 5]], "task_id": "29700607", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 210, "input": [[5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 5]], "output": [[5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5], [6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 5]], "task_id": "29700607", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
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General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 9 9 9 9 9 9 9 9 9 9 9 9 9 9 2 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 5 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 0 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 Output: 9 9 9 9 9 9 9 9 9 9 9 9 9 9 2 8 8 8 8 8 8 8 8 8 9 9 9 8 9 9 9 9 9 9 9 9 8 9 9 9 8 9 9 9 9 9 9 9 9 8 9 9 9 8 9 9 9 9 9 9 9 9 8 9 9 9 8 9 9 9 9 9 9 9 9 5 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 0 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 Example 2: Input: 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 2 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 0 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 5 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 Output: 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 2 9 9 9 9 9 9 9 9 9 9 8 9 8 9 9 9 9 9 9 9 9 9 9 8 9 8 9 9 9 0 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 5 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 Example 3: Input: 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 5 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 0 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 2 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 Output: 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 5 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 8 8 8 8 8 0 9 9 9 8 9 9 9 8 9 9 9 9 9 9 9 9 8 9 9 9 8 9 9 9 9 9 9 9 9 8 9 9 9 8 9 9 9 9 9 9 9 9 8 9 9 9 8 9 9 9 9 9 9 9 9 8 9 9 9 8 9 9 9 9 9 9 9 9 8 9 9 9 8 9 9 9 9 9 9 9 9 8 8 8 8 2 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 Example 4: Input: 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 5 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 0 9 9 2 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 Output: 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 5 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 0 9 9 2 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 5 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 0 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 2 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 5 9 9 9 9 9 9 9\n9 9 9 9 9 8 9 9 9 9 9 9 9\n9 9 9 9 9 8 9 9 9 9 9 9 9\n9 9 9 9 9 8 9 9 9 9 9 9 9\n9 9 9 9 9 8 9 9 9 9 9 9 9\n9 9 9 9 9 8 9 9 9 9 9 9 9\n9 9 8 8 8 8 8 8 8 8 8 0 9\n9 9 8 9 9 8 9 9 9 9 9 9 9\n9 9 8 9 9 8 9 9 9 9 9 9 9\n9 9 2 8 8 8 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 2 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 5 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 0 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\nOutput:\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 2 8 8 8 8 8 8 8 8 8 9 9\n9 8 9 9 9 9 9 9 9 9 8 9 9\n9 8 9 9 9 9 9 9 9 9 8 9 9\n9 8 9 9 9 9 9 9 9 9 8 9 9\n9 8 9 9 9 9 9 9 9 9 5 9 9\n9 8 9 9 9 9 9 9 9 9 9 9 9\n9 8 9 9 9 9 9 9 9 9 9 9 9\n9 8 9 9 9 9 9 9 9 9 9 9 9\n9 8 9 9 9 9 9 9 9 9 9 9 9\n9 8 9 9 9 9 9 9 9 9 9 9 9\n9 8 8 8 0 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n\nExample 2:\n\nInput:\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 2 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 0 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 5 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\nOutput:\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 8 8 2 9 9\n9 9 9 9 9 9 9 9 8 9 8 9 9\n9 9 9 9 9 9 9 9 8 9 8 9 9\n9 0 8 8 8 8 8 8 8 8 8 9 9\n9 9 9 9 9 9 9 9 8 9 9 9 9\n9 9 9 9 9 9 9 9 8 9 9 9 9\n9 9 9 9 9 9 9 9 8 9 9 9 9\n9 9 9 9 9 9 9 9 8 9 9 9 9\n9 9 9 9 9 9 9 9 8 9 9 9 9\n9 9 9 9 9 9 9 9 5 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n\nExample 3:\n\nInput:\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 5 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 0 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 2 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\nOutput:\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 5 9 9 9 9 9 9 9 9 9 9\n9 9 8 9 9 9 9 9 9 9 9 9 9\n9 9 8 9 9 9 8 8 8 8 8 0 9\n9 9 8 9 9 9 8 9 9 9 9 9 9\n9 9 8 9 9 9 8 9 9 9 9 9 9\n9 9 8 9 9 9 8 9 9 9 9 9 9\n9 9 8 9 9 9 8 9 9 9 9 9 9\n9 9 8 9 9 9 8 9 9 9 9 9 9\n9 9 8 9 9 9 8 9 9 9 9 9 9\n9 9 8 8 8 8 2 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n\nExample 4:\n\nInput:\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 5 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 0 9\n9 2 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\nOutput:\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 5 9 9 9 9 9 9 9\n9 9 9 9 9 8 9 9 9 9 9 9 9\n9 9 9 9 9 8 9 9 9 9 9 9 9\n9 9 9 9 9 8 9 9 9 9 9 9 9\n9 9 9 9 9 8 9 9 9 9 9 9 9\n9 9 9 9 9 8 9 9 9 9 9 9 9\n9 9 9 9 9 8 9 9 9 9 9 9 9\n9 8 8 8 8 8 8 8 8 8 8 0 9\n9 2 8 8 8 8 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 5 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 0 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 2 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n", "answer": "9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 5 9 9 9 9 9 9 9\n9 9 9 9 9 8 9 9 9 9 9 9 9\n9 9 9 9 9 8 9 9 9 9 9 9 9\n9 9 9 9 9 8 9 9 9 9 9 9 9\n9 9 9 9 9 8 9 9 9 9 9 9 9\n9 9 9 9 9 8 9 9 9 9 9 9 9\n9 9 8 8 8 8 8 8 8 8 8 0 9\n9 9 8 9 9 8 9 9 9 9 9 9 9\n9 9 8 9 9 8 9 9 9 9 9 9 9\n9 9 2 8 8 8 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9", "metadata": {"source_dataset": "arc_agi", "source_index": 211, "input": [[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 5, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 2, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]], "output": [[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 5, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9], [9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 9], [9, 9, 8, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9], [9, 9, 8, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9], [9, 9, 2, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]], "task_id": "0e671a1a", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 211, "input": [[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 5, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 2, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]], "output": [[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 5, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9], [9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 9], [9, 9, 8, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9], [9, 9, 8, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9], [9, 9, 2, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]], "task_id": "0e671a1a", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
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General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 4 4 4 4 1 1 1 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 4 4 4 4 1 1 1 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 4 4 4 4 1 1 1 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 8 8 4 4 4 4 4 4 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 5 5 4 4 4 4 4 4 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 9 9 8 8 9 9 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 5 5 9 9 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 5 5 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 1 1 4 4 4 4 9 9 8 8 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 1 1 4 4 4 4 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 4 4 4 4 0 0 4 4 4 4 8 8 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 4 4 4 4 0 0 4 4 4 4 8 8 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 9 5 9 9 5 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 8 8 4 4 4 1 1 1 4 4 9 5 1 1 5 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 1 1 1 4 4 9 5 1 1 5 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 1 1 1 4 4 9 5 9 9 5 9 4 4 4 4 4 4 1 1 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 4 4 4 4 4 4 1 1 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 0 0 4 4 4 4 4 4 4 4 4 4 9 9 3 3 0 9 4 4 4 4 4 4 4 4 4 4 4 4 0 0 4 4 4 4 3 3 3 4 4 4 9 9 3 0 3 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 9 9 0 3 3 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 Output: 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 4 4 4 4 1 1 1 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 4 4 4 4 1 1 1 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 4 4 4 4 1 1 1 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 3 3 0 4 4 4 4 8 8 4 4 4 4 4 4 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 3 0 3 4 4 4 4 5 5 4 4 4 4 4 4 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 0 3 3 4 4 4 4 5 5 4 4 4 4 4 4 9 9 8 8 9 9 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 8 8 4 4 4 4 4 4 9 9 5 5 9 9 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 4 4 4 9 9 5 5 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 1 1 5 4 4 4 9 9 8 8 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 1 1 5 4 4 4 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 4 4 4 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 4 4 4 4 0 0 4 4 4 4 8 8 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 4 4 4 4 0 0 4 4 4 4 8 8 4 4 8 8 4 4 4 4 4 4 4 4 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 9 5 9 9 5 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 8 8 4 4 4 1 1 1 4 4 9 5 1 1 5 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 1 1 1 4 4 9 5 1 1 5 9 4 4 4 4 4 5 4 4 5 4 4 4 4 4 4 4 4 4 4 1 1 1 4 4 9 5 9 9 5 9 4 4 4 4 4 5 1 1 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 4 4 4 4 4 5 1 1 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 4 4 4 4 4 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 0 0 4 4 4 4 4 4 4 4 4 4 9 9 3 3 0 9 4 4 4 4 4 4 4 4 4 4 4 4 0 0 4 4 4 4 3 3 0 4 4 4 9 9 3 0 3 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 0 3 4 4 4 9 9 0 3 3 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 3 3 4 4 4 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 Example 2: Input: 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9 3 3 3 4 4 4 4 4 1 1 4 4 4 4 5 5 4 4 4 4 4 4 4 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 1 1 4 4 4 4 5 5 4 0 0 0 4 4 4 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 0 0 4 4 4 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 0 0 4 4 4 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9 4 4 4 5 5 4 4 4 4 4 4 0 0 0 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 0 0 0 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 0 0 0 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 9 9 9 9 9 9 9 4 4 4 4 4 1 1 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 9 9 0 0 0 9 9 4 4 4 4 4 1 1 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 0 1 0 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 0 0 0 9 9 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 3 3 3 4 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 3 3 3 4 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9 4 4 5 5 4 0 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 3 3 3 3 9 4 4 4 4 4 0 0 0 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 9 9 3 5 5 3 9 4 4 4 4 4 0 0 0 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 9 9 3 5 5 3 9 4 4 4 4 4 4 4 4 4 4 4 4 1 1 4 4 4 4 4 4 4 4 4 9 9 3 3 3 3 9 4 4 4 4 4 4 4 4 4 4 4 4 1 1 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9 Output: 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 9 9 9 9 9 9 9 3 3 3 4 4 4 4 4 1 1 4 4 4 3 5 5 3 4 4 4 4 4 4 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 1 1 4 4 4 3 5 5 3 0 0 0 4 4 4 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 0 1 0 4 4 4 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 0 0 4 4 4 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9 4 4 3 5 5 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9 4 4 3 5 5 3 4 4 4 4 4 0 0 0 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9 4 4 3 3 3 3 4 4 4 4 4 0 1 0 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 0 0 0 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 5 5 3 4 4 4 9 9 9 9 9 9 9 4 4 4 4 4 1 1 4 4 4 4 4 4 4 4 4 3 5 5 3 4 4 4 9 9 0 0 0 9 9 4 4 4 4 4 1 1 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 9 9 0 1 0 9 9 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 9 9 0 0 0 9 9 4 4 4 4 4 4 4 4 4 4 3 5 5 3 4 4 4 4 4 3 3 3 4 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 3 5 5 3 4 4 4 4 4 3 3 3 4 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 3 3 3 4 9 9 9 9 9 9 9 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9 4 3 5 5 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9 4 3 5 5 3 0 0 0 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 9 9 3 3 3 3 9 4 3 3 3 3 0 1 0 4 4 4 4 4 4 4 3 5 5 3 4 4 4 4 9 9 3 5 5 3 9 4 4 4 4 4 0 0 0 4 4 4 4 4 4 4 3 5 5 3 4 4 4 4 9 9 3 5 5 3 9 4 4 4 4 4 4 4 4 4 4 4 4 1 1 4 3 3 3 3 4 4 4 4 9 9 3 3 3 3 9 4 4 4 4 4 4 4 4 4 4 4 4 1 1 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9 Example 3: Input: 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 0 0 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 0 0 4 4 4 4 4 4 4 4 4 5 5 4 4 4 3 3 3 4 4 4 0 4 4 4 4 4 4 0 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 4 4 4 4 4 1 1 1 4 4 4 4 4 4 4 4 4 4 4 4 0 0 0 4 4 4 4 9 9 9 4 4 4 4 4 1 1 1 4 4 4 4 4 4 4 4 4 4 4 4 0 0 0 4 4 4 4 4 4 4 4 4 4 4 4 1 1 1 4 4 4 4 4 4 0 4 4 4 4 4 0 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 4 4 4 4 4 4 4 1 1 1 4 4 4 4 0 0 0 4 4 4 4 4 4 4 4 4 4 9 9 9 4 0 4 4 4 4 4 1 1 1 4 4 4 4 0 0 0 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 1 1 1 4 4 4 4 0 0 0 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 5 5 5 5 5 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 3 3 3 9 9 9 9 9 9 9 5 1 1 1 5 9 9 0 0 0 9 9 9 9 9 9 9 9 9 9 3 0 3 9 9 9 9 9 9 9 5 1 1 1 5 9 9 0 3 0 9 9 9 9 9 9 9 9 9 9 3 3 3 9 9 9 9 9 9 9 5 1 1 1 5 9 9 0 0 0 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 5 5 5 5 5 9 9 9 9 9 9 9 Output: 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 0 0 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 0 3 0 4 4 4 4 4 4 4 4 4 5 5 4 4 4 3 3 3 4 4 3 0 3 4 4 4 4 4 0 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 0 3 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 0 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 4 4 4 4 5 1 1 1 5 4 4 4 4 4 4 4 4 4 4 4 0 0 0 4 4 4 4 9 9 9 4 4 4 4 5 1 1 1 5 4 4 4 4 3 3 3 4 4 4 4 0 3 0 4 4 4 4 4 4 4 4 4 4 4 5 1 1 1 5 4 4 4 4 3 0 3 4 4 4 4 0 0 0 4 4 3 3 3 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 3 0 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 3 3 3 4 4 4 5 1 1 1 5 4 4 4 0 0 0 4 4 4 4 4 4 4 4 4 4 9 9 9 3 0 3 4 4 4 5 1 1 1 5 4 4 4 0 3 0 4 4 4 4 4 3 3 3 4 4 4 4 4 3 3 3 4 4 4 5 1 1 1 5 4 4 4 0 0 0 4 4 4 4 4 3 0 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 5 5 5 5 5 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 3 3 3 9 9 9 9 9 9 9 5 1 1 1 5 9 9 0 0 0 9 9 9 9 9 9 9 9 9 9 3 0 3 9 9 9 9 9 9 9 5 1 1 1 5 9 9 0 3 0 9 9 9 9 9 9 9 9 9 9 3 3 3 9 9 9 9 9 9 9 5 1 1 1 5 9 9 0 0 0 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 5 5 5 5 5 9 9 9 9 9 9 9 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 1 1 4 4 4 4 4 4 9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 3 3 3 4 4 4 4 1 1 4 4 4 4 4 4 9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 3 1 9 9 9 4 4 8 8 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 9 9 9 1 3 9 9 9 4 4 8 8 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9 9 4 4 4 4 4 4 0 0 4 4 4 4 4 4 4 4 4 3 3 3 4 4 9 9 9 9 9 9 9 9 4 4 4 4 4 4 0 0 4 4 4 4 4 4 4 4 4 3 3 3 4 4 9 9 9 3 3 3 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 9 9 9 3 8 3 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 3 3 3 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 8 8 4 4 4 4 4 4 4 9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 8 8 4 4 4 4 4 4 4 9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 5 5 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 5 0 0 9 9 4 4 4 7 4 4 4 4 4 4 8 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 0 0 5 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 5 5 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 5 4 9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 1 4 4 4 4 4 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 3 3 3 4 4 4 4 1 3 4 4 4 4 4 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 3 8 3 4 4 4 4 4 4 4 4 4 4 4 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4\n9 9 9 3 1 9 9 9 4 4 8 8 4 4 4 4 4 4 4 4 4 4 4 4 4 3 1 4 4 4\n9 9 9 1 3 9 9 9 4 4 8 8 4 4 4 4 4 4 4 4 4 4 4 4 4 1 3 4 4 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 5 0 0 4 4 4 4 4 4 4 4 4 3 3 3 4 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 4 0 0 5 4 4 4 4 4 4 4 4 3 8 3 4 4\n9 9 9 3 3 3 9 9 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 3 3 3 4 4\n9 9 9 3 8 3 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n9 9 9 3 3 3 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 8 8 4 4 4 4 4 4 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 8 8 4 4 4 4 4 4 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n9 9 9 5 5 9 9 9 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4\n9 9 9 5 0 0 9 9 4 4 4 7 4 4 4 4 4 3 8 3 4 4 4 4 4 5 5 4 4 4\n9 9 9 9 0 0 5 9 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 5 0 0 4 4\n9 9 9 9 9 5 5 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 0 5 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9\n4 4 4 4 1 1 1 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9\n4 4 4 4 1 1 1 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9\n4 4 4 4 1 1 1 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9\n4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 8 8 4 4 4 4 4 4 9 9 9 9 9 9\n4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 5 5 4 4 4 4 4 4 9 9 9 9 9 9\n4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 9 9 8 8 9 9\n4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 5 5 9 9\n4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 5 5 9 9\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 1 1 4 4 4 4 9 9 8 8 9 9\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 1 1 4 4 4 4 9 9 9 9 9 9\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9\n4 4 4 4 0 0 4 4 4 4 8 8 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9\n4 4 4 4 0 0 4 4 4 4 8 8 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 9 5 9 9 5 9\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 8 8 4 4 4 1 1 1 4 4 9 5 1 1 5 9\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 1 1 1 4 4 9 5 1 1 5 9\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 1 1 1 4 4 9 5 9 9 5 9\n4 4 4 4 4 4 1 1 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9\n4 4 4 4 4 4 1 1 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9\n4 4 4 4 4 4 4 4 4 4 4 4 0 0 4 4 4 4 4 4 4 4 4 4 9 9 3 3 0 9\n4 4 4 4 4 4 4 4 4 4 4 4 0 0 4 4 4 4 3 3 3 4 4 4 9 9 3 0 3 9\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 9 9 0 3 3 9\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 9 9 9 9 9 9\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9\nOutput:\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9\n4 4 4 4 1 1 1 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9\n4 4 4 4 1 1 1 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9\n4 4 4 4 1 1 1 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9\n4 4 4 4 4 4 4 4 4 3 3 0 4 4 4 4 8 8 4 4 4 4 4 4 9 9 9 9 9 9\n4 4 4 4 4 4 4 4 4 3 0 3 4 4 4 4 5 5 4 4 4 4 4 4 9 9 9 9 9 9\n4 4 4 4 4 4 4 4 4 0 3 3 4 4 4 4 5 5 4 4 4 4 4 4 9 9 8 8 9 9\n4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 8 8 4 4 4 4 4 4 9 9 5 5 9 9\n4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 4 4 4 9 9 5 5 9 9\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 1 1 5 4 4 4 9 9 8 8 9 9\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 1 1 5 4 4 4 9 9 9 9 9 9\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 4 4 4 9 9 9 9 9 9\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9\n4 4 4 4 0 0 4 4 4 4 8 8 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9\n4 4 4 4 0 0 4 4 4 4 8 8 4 4 8 8 4 4 4 4 4 4 4 4 9 9 9 9 9 9\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 9 9 9 9 9 9\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 9 5 9 9 5 9\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 8 8 4 4 4 1 1 1 4 4 9 5 1 1 5 9\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 1 1 1 4 4 9 5 1 1 5 9\n4 4 4 4 4 5 4 4 5 4 4 4 4 4 4 4 4 4 4 1 1 1 4 4 9 5 9 9 5 9\n4 4 4 4 4 5 1 1 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9\n4 4 4 4 4 5 1 1 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9\n4 4 4 4 4 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9\n4 4 4 4 4 4 4 4 4 4 4 4 0 0 4 4 4 4 4 4 4 4 4 4 9 9 3 3 0 9\n4 4 4 4 4 4 4 4 4 4 4 4 0 0 4 4 4 4 3 3 0 4 4 4 9 9 3 0 3 9\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 0 3 4 4 4 9 9 0 3 3 9\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 3 3 4 4 4 9 9 9 9 9 9\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9\n\nExample 2:\n\nInput:\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9\n3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9\n3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9\n3 3 3 4 4 4 4 4 1 1 4 4 4 4 5 5 4 4 4 4 4 4 4 9 9 9 9 9 9 9\n4 4 4 4 4 4 4 4 1 1 4 4 4 4 5 5 4 0 0 0 4 4 4 9 9 9 9 9 9 9\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 0 0 4 4 4 9 9 9 9 9 9 9\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 0 0 4 4 4 9 9 9 9 9 9 9\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9\n4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9\n4 4 4 5 5 4 4 4 4 4 4 0 0 0 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9\n4 4 4 4 4 4 4 4 4 4 4 0 0 0 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9\n4 4 4 4 4 4 4 4 4 4 4 0 0 0 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 9 9 9 9 9 9 9\n4 4 4 4 4 1 1 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 9 9 0 0 0 9 9\n4 4 4 4 4 1 1 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 0 1 0 9 9\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 0 0 0 9 9\n4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 3 3 3 4 9 9 9 9 9 9 9\n4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 3 3 3 4 9 9 9 9 9 9 9\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 9 9 9 9 9 9 9\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9\n4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9\n4 4 5 5 4 0 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 3 3 3 3 9\n4 4 4 4 4 0 0 0 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 9 9 3 5 5 3 9\n4 4 4 4 4 0 0 0 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 9 9 3 5 5 3 9\n4 4 4 4 4 4 4 4 4 4 4 4 1 1 4 4 4 4 4 4 4 4 4 9 9 3 3 3 3 9\n4 4 4 4 4 4 4 4 4 4 4 4 1 1 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9\nOutput:\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9\n3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9\n3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 9 9 9 9 9 9 9\n3 3 3 4 4 4 4 4 1 1 4 4 4 3 5 5 3 4 4 4 4 4 4 9 9 9 9 9 9 9\n4 4 4 4 4 4 4 4 1 1 4 4 4 3 5 5 3 0 0 0 4 4 4 9 9 9 9 9 9 9\n4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 0 1 0 4 4 4 9 9 9 9 9 9 9\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 0 0 4 4 4 9 9 9 9 9 9 9\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9\n4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9\n4 4 3 5 5 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9\n4 4 3 5 5 3 4 4 4 4 4 0 0 0 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9\n4 4 3 3 3 3 4 4 4 4 4 0 1 0 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9\n4 4 4 4 4 4 4 4 4 4 4 0 0 0 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 9 9 9 9 9 9 9\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 5 5 3 4 4 4 9 9 9 9 9 9 9\n4 4 4 4 4 1 1 4 4 4 4 4 4 4 4 4 3 5 5 3 4 4 4 9 9 0 0 0 9 9\n4 4 4 4 4 1 1 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 9 9 0 1 0 9 9\n4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 9 9 0 0 0 9 9\n4 4 4 4 4 4 4 4 4 4 3 5 5 3 4 4 4 4 4 3 3 3 4 9 9 9 9 9 9 9\n4 4 4 4 4 4 4 4 4 4 3 5 5 3 4 4 4 4 4 3 3 3 4 9 9 9 9 9 9 9\n4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 3 3 3 4 9 9 9 9 9 9 9\n4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9\n4 3 5 5 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9\n4 3 5 5 3 0 0 0 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 9 9 3 3 3 3 9\n4 3 3 3 3 0 1 0 4 4 4 4 4 4 4 3 5 5 3 4 4 4 4 9 9 3 5 5 3 9\n4 4 4 4 4 0 0 0 4 4 4 4 4 4 4 3 5 5 3 4 4 4 4 9 9 3 5 5 3 9\n4 4 4 4 4 4 4 4 4 4 4 4 1 1 4 3 3 3 3 4 4 4 4 9 9 3 3 3 3 9\n4 4 4 4 4 4 4 4 4 4 4 4 1 1 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9\n\nExample 3:\n\nInput:\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 0 0 0 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 0 0 0 4 4 4 4 4 4 4 4 4 5 5 4 4 4 3 3 3 4 4 4 0 4 4 4 4\n4 4 0 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 9 9 9 4 4 4 4 4 1 1 1 4 4 4 4 4 4 4 4 4 4 4 4 0 0 0 4\n4 4 4 9 9 9 4 4 4 4 4 1 1 1 4 4 4 4 4 4 4 4 4 4 4 4 0 0 0 4\n4 4 4 4 4 4 4 4 4 4 4 1 1 1 4 4 4 4 4 4 0 4 4 4 4 4 0 0 0 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 4 4 4 4 4 4 4 1 1 1 4 4\n4 4 0 0 0 4 4 4 4 4 4 4 4 4 4 9 9 9 4 0 4 4 4 4 4 1 1 1 4 4\n4 4 0 0 0 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 1 1 1 4 4\n4 4 0 0 0 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 5 5 5 5 5 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 3 3 3 9 9 9 9 9 9 9 5 1 1 1 5 9 9 0 0 0 9 9\n9 9 9 9 9 9 9 9 3 0 3 9 9 9 9 9 9 9 5 1 1 1 5 9 9 0 3 0 9 9\n9 9 9 9 9 9 9 9 3 3 3 9 9 9 9 9 9 9 5 1 1 1 5 9 9 0 0 0 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 5 5 5 5 5 9 9 9 9 9 9 9\nOutput:\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 0 0 0 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 3 3 3 4 4 4\n4 4 0 3 0 4 4 4 4 4 4 4 4 4 5 5 4 4 4 3 3 3 4 4 3 0 3 4 4 4\n4 4 0 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 0 3 4 4 3 3 3 4 4 4\n4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 3 0 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 9 9 9 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 9 9 9 4 4 4 4 5 1 1 1 5 4 4 4 4 4 4 4 4 4 4 4 0 0 0 4\n4 4 4 9 9 9 4 4 4 4 5 1 1 1 5 4 4 4 4 3 3 3 4 4 4 4 0 3 0 4\n4 4 4 4 4 4 4 4 4 4 5 1 1 1 5 4 4 4 4 3 0 3 4 4 4 4 0 0 0 4\n4 3 3 3 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4\n4 3 0 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 4 4 4 4 4 4 5 5 5 5 5 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 3 3 3 4 4 4 5 1 1 1 5 4\n4 4 0 0 0 4 4 4 4 4 4 4 4 4 4 9 9 9 3 0 3 4 4 4 5 1 1 1 5 4\n4 4 0 3 0 4 4 4 4 4 3 3 3 4 4 4 4 4 3 3 3 4 4 4 5 1 1 1 5 4\n4 4 0 0 0 4 4 4 4 4 3 0 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4\n4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 5 5 5 5 5 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 3 3 3 9 9 9 9 9 9 9 5 1 1 1 5 9 9 0 0 0 9 9\n9 9 9 9 9 9 9 9 3 0 3 9 9 9 9 9 9 9 5 1 1 1 5 9 9 0 3 0 9 9\n9 9 9 9 9 9 9 9 3 3 3 9 9 9 9 9 9 9 5 1 1 1 5 9 9 0 0 0 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 5 5 5 5 5 9 9 9 9 9 9 9\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 1 1 4 4 4 4 4 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 3 3 3 4 4 4 4 1 1 4 4 4 4 4 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4\n9 9 9 3 1 9 9 9 4 4 8 8 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4\n9 9 9 1 3 9 9 9 4 4 8 8 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 4 0 0 4 4 4 4 4 4 4 4 4 3 3 3 4 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 4 0 0 4 4 4 4 4 4 4 4 4 3 3 3 4 4\n9 9 9 3 3 3 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4\n9 9 9 3 8 3 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n9 9 9 3 3 3 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 8 8 4 4 4 4 4 4 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 8 8 4 4 4 4 4 4 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n9 9 9 5 5 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n9 9 9 5 0 0 9 9 4 4 4 7 4 4 4 4 4 4 8 4 4 4 4 4 4 4 4 4 4 4\n9 9 9 9 0 0 5 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n9 9 9 9 9 5 5 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 5 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n", "answer": "9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 1 4 4 4 4 4 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 3 3 3 4 4 4 4 1 3 4 4 4 4 4 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 3 8 3 4 4 4 4 4 4 4 4 4 4 4 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4\n9 9 9 3 1 9 9 9 4 4 8 8 4 4 4 4 4 4 4 4 4 4 4 4 4 3 1 4 4 4\n9 9 9 1 3 9 9 9 4 4 8 8 4 4 4 4 4 4 4 4 4 4 4 4 4 1 3 4 4 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 5 0 0 4 4 4 4 4 4 4 4 4 3 3 3 4 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 4 0 0 5 4 4 4 4 4 4 4 4 3 8 3 4 4\n9 9 9 3 3 3 9 9 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 3 3 3 4 4\n9 9 9 3 8 3 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n9 9 9 3 3 3 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 8 8 4 4 4 4 4 4 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 8 8 4 4 4 4 4 4 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n9 9 9 5 5 9 9 9 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4\n9 9 9 5 0 0 9 9 4 4 4 7 4 4 4 4 4 3 8 3 4 4 4 4 4 5 5 4 4 4\n9 9 9 9 0 0 5 9 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 5 0 0 4 4\n9 9 9 9 9 5 5 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 0 5 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4", "metadata": {"source_dataset": "arc_agi", "source_index": 212, "input": [[9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 1, 1, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 3, 1, 9, 9, 9, 4, 4, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4], [9, 9, 9, 1, 3, 9, 9, 9, 4, 4, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4], [9, 9, 9, 3, 3, 3, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4], [9, 9, 9, 3, 8, 3, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 3, 3, 3, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 5, 5, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 5, 0, 0, 9, 9, 4, 4, 4, 7, 4, 4, 4, 4, 4, 4, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 0, 0, 5, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 5, 5, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 5, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]], "output": [[9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 1, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 1, 3, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 3, 8, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 3, 1, 9, 9, 9, 4, 4, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 1, 4, 4, 4], [9, 9, 9, 1, 3, 9, 9, 9, 4, 4, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 3, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 5, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 0, 0, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 8, 3, 4, 4], [9, 9, 9, 3, 3, 3, 9, 9, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4], [9, 9, 9, 3, 8, 3, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 3, 3, 3, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 5, 5, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 5, 0, 0, 9, 9, 4, 4, 4, 7, 4, 4, 4, 4, 4, 3, 8, 3, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4], [9, 9, 9, 9, 0, 0, 5, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 5, 0, 0, 4, 4], [9, 9, 9, 9, 9, 5, 5, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 5, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]], "task_id": "3ed85e70", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 212, "input": [[9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 1, 1, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 3, 1, 9, 9, 9, 4, 4, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4], [9, 9, 9, 1, 3, 9, 9, 9, 4, 4, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4], [9, 9, 9, 3, 3, 3, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4], [9, 9, 9, 3, 8, 3, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 3, 3, 3, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 5, 5, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 5, 0, 0, 9, 9, 4, 4, 4, 7, 4, 4, 4, 4, 4, 4, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 0, 0, 5, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 5, 5, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 5, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]], "output": [[9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 1, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 1, 3, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 3, 8, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 3, 1, 9, 9, 9, 4, 4, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 1, 4, 4, 4], [9, 9, 9, 1, 3, 9, 9, 9, 4, 4, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 3, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 5, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 0, 0, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 8, 3, 4, 4], [9, 9, 9, 3, 3, 3, 9, 9, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4], [9, 9, 9, 3, 8, 3, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 3, 3, 3, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 5, 5, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 5, 0, 0, 9, 9, 4, 4, 4, 7, 4, 4, 4, 4, 4, 3, 8, 3, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4], [9, 9, 9, 9, 0, 0, 5, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 5, 0, 0, 4, 4], [9, 9, 9, 9, 9, 5, 5, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 5, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]], "task_id": "3ed85e70", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null
General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 1 1 1 1 1 1 1 1 4 4 4 4 4 4 4 4 4 4 4 4 1 1 1 8 1 1 1 1 4 4 4 4 4 4 4 4 4 4 4 4 1 1 1 1 1 1 1 1 4 4 4 1 1 1 1 1 4 4 4 4 1 8 1 1 1 1 8 1 4 4 4 1 8 1 1 1 4 4 4 4 1 1 1 1 1 1 1 1 4 4 4 1 1 8 1 1 4 4 4 4 1 1 1 1 8 1 1 1 4 4 4 1 1 1 1 1 4 4 4 4 1 1 1 1 1 1 1 1 4 4 4 1 1 1 8 1 4 4 4 4 1 1 1 1 1 1 1 1 4 4 4 1 1 1 1 1 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 1 1 1 1 1 1 4 4 4 4 4 4 4 4 4 4 4 4 4 4 1 1 8 1 8 1 4 4 4 4 4 4 4 4 4 4 4 4 4 4 1 8 1 8 1 1 4 4 4 4 4 4 4 4 4 4 4 4 4 4 1 1 1 1 8 1 4 4 4 4 4 4 4 4 4 4 4 4 4 4 1 1 8 1 1 1 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 Output: 1 1 1 1 1 1 1 1 8 1 8 1 1 8 1 8 1 1 1 1 1 1 8 1 1 1 8 1 1 1 Example 2: Input: 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 1 1 1 1 8 1 1 1 1 4 4 8 1 1 1 1 1 4 4 4 8 1 1 1 1 1 1 8 1 4 4 1 1 1 8 1 1 4 4 4 1 1 1 8 1 1 1 1 1 4 4 1 1 1 1 1 1 4 4 4 1 8 1 1 1 8 1 1 1 4 4 1 1 8 1 1 1 4 4 4 1 1 1 1 1 1 1 1 8 4 4 1 1 1 1 1 1 4 4 4 1 1 1 1 1 1 1 1 1 4 4 1 1 1 1 8 1 4 4 4 1 1 1 8 1 1 1 1 1 4 4 1 8 1 1 1 1 4 4 4 1 1 1 1 1 1 1 8 1 4 4 1 1 1 1 8 1 4 4 4 8 1 1 1 1 8 1 1 1 4 4 1 1 1 1 1 1 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 1 1 1 1 1 1 1 1 1 4 4 4 4 4 4 4 4 4 4 4 1 1 1 1 1 8 1 1 1 4 4 4 1 1 1 1 1 1 4 4 1 8 1 1 1 1 1 8 1 4 4 4 1 1 8 1 1 1 4 4 1 1 1 1 8 1 1 1 1 4 4 4 1 1 1 1 8 1 4 4 1 1 8 1 1 1 1 1 1 4 4 4 1 1 1 1 1 1 4 4 1 1 1 1 1 1 8 1 1 4 4 4 4 4 4 4 4 4 4 4 1 1 1 1 1 1 1 1 1 Output: 1 1 1 1 8 1 1 1 1 8 1 1 1 1 1 1 8 1 1 1 1 8 1 1 1 1 1 1 8 1 1 1 8 1 1 1 1 1 1 1 1 1 1 1 8 1 1 1 1 1 1 1 1 1 1 1 1 8 1 1 1 1 1 1 1 1 1 1 1 1 8 1 8 1 1 1 1 8 1 1 1 Example 3: Input: 4 4 4 4 4 4 4 4 4 4 4 4 4 1 1 1 1 1 8 4 4 4 4 4 4 4 4 4 4 4 4 4 4 1 1 8 1 1 1 4 4 4 1 1 1 1 1 1 1 1 1 4 4 1 1 1 8 1 1 4 4 4 8 1 1 1 1 1 1 1 1 4 4 1 1 1 1 1 1 4 4 4 1 1 1 1 1 1 8 1 1 4 4 1 8 1 1 8 1 4 4 4 1 1 1 8 1 1 1 1 1 4 4 1 1 1 1 1 1 4 4 4 1 1 1 1 1 1 1 1 1 4 4 4 4 4 4 4 4 4 4 4 1 1 1 1 1 8 1 1 1 4 4 4 4 4 4 4 4 4 4 4 1 1 1 1 1 1 1 1 1 4 4 4 4 4 4 4 4 4 4 4 1 1 1 1 1 1 1 1 1 4 4 4 4 4 4 4 4 4 4 4 1 8 1 1 1 8 1 1 1 4 4 1 8 1 8 4 4 4 4 4 1 1 1 1 1 1 1 1 1 4 4 1 1 1 1 4 4 4 4 4 1 1 1 1 1 1 1 1 1 4 4 8 1 8 1 4 4 4 4 4 1 1 1 1 1 1 1 1 1 4 4 1 1 1 1 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4 4 4 1 1 1 8 1 1 1 1 1 8 1 1 1 1 1 1 1 4 4 4 1 1 1 1 1 1 1 8 1 1 1 1 1 8 1 1 1 4 4 4 1 1 1 1 1 1 1 1 1 1 8 1 1 1 1 8 1 4 4 4 1 1 1 8 1 1 8 1 1 1 1 1 1 1 1 1 1 4 4 Output: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 8 1 1 1 1 1 8 1 1 1 1 1 1 1 1 1 1 1 1 1 1 8 1 1 1 1 1 8 1 1 1 1 1 1 1 1 1 1 1 1 1 8 1 1 1 1 8 1 1 1 1 8 1 1 8 1 1 1 1 1 1 1 1 1 1 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 1 1 1 1 1 1 1 1 4 4 4 1 1 1 1 1 4 4 4 4 1 1 8 1 1 1 1 1 4 4 4 1 1 1 1 1 4 4 4 4 1 1 1 1 1 1 8 1 4 4 4 1 1 1 8 1 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 1 8 1 1 1 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 1 1 1 1 1 4 4 4 1 1 8 1 1 8 1 1 1 1 4 4 1 1 1 1 1 4 4 4 1 1 1 1 1 1 1 1 1 1 4 4 1 1 1 1 1 4 4 4 1 1 1 1 1 1 1 8 1 1 4 4 1 1 8 1 1 4 4 4 1 8 1 1 8 1 1 1 1 1 4 4 1 1 1 1 1 4 4 4 1 1 1 1 1 1 1 1 1 1 4 4 1 1 1 1 1 4 4 4 1 1 1 1 1 1 8 1 8 1 4 4 1 1 1 8 1 4 4 4 1 1 8 1 1 1 1 1 1 1 4 4 1 1 1 1 1 4 4 4 1 1 1 1 1 8 1 8 1 1 4 4 1 8 1 1 1 4 4 4 1 1 1 1 1 1 1 1 1 1 4 4 1 1 1 1 1 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 1 1 1 1 1 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 4 4 4 4 4 1 1 1 8 1 4 1 1 8 1 1 1 8 1 1 4 4 4 4 4 1 1 1 1 1 4 1 8 1 1 8 1 1 1 1 4 4 4 4 4 4 4 4 4 4 4
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "1 1 8 1 1 8 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 8 1 1\n1 8 1 1 8 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 8 1 8 1\n1 1 8 1 1 1 1 1 1 1\n1 1 1 1 1 8 1 8 1 1\n1 1 1 1 1 1 1 1 1 1", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 1 1 1 1 1 1 1 1 4 4 4 4 4 4 4 4 4 4\n4 4 1 1 1 8 1 1 1 1 4 4 4 4 4 4 4 4 4 4\n4 4 1 1 1 1 1 1 1 1 4 4 4 1 1 1 1 1 4 4\n4 4 1 8 1 1 1 1 8 1 4 4 4 1 8 1 1 1 4 4\n4 4 1 1 1 1 1 1 1 1 4 4 4 1 1 8 1 1 4 4\n4 4 1 1 1 1 8 1 1 1 4 4 4 1 1 1 1 1 4 4\n4 4 1 1 1 1 1 1 1 1 4 4 4 1 1 1 8 1 4 4\n4 4 1 1 1 1 1 1 1 1 4 4 4 1 1 1 1 1 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 1 1 1 1 1 1 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 1 1 8 1 8 1 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 1 8 1 8 1 1 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 1 1 1 1 8 1 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 1 1 8 1 1 1 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\nOutput:\n1 1 1 1 1 1\n1 1 8 1 8 1\n1 8 1 8 1 1\n1 1 1 1 8 1\n1 1 8 1 1 1\n\nExample 2:\n\nInput:\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 1 1 1 1 8 1 1 1 1 4 4\n8 1 1 1 1 1 4 4 4 8 1 1 1 1 1 1 8 1 4 4\n1 1 1 8 1 1 4 4 4 1 1 1 8 1 1 1 1 1 4 4\n1 1 1 1 1 1 4 4 4 1 8 1 1 1 8 1 1 1 4 4\n1 1 8 1 1 1 4 4 4 1 1 1 1 1 1 1 1 8 4 4\n1 1 1 1 1 1 4 4 4 1 1 1 1 1 1 1 1 1 4 4\n1 1 1 1 8 1 4 4 4 1 1 1 8 1 1 1 1 1 4 4\n1 8 1 1 1 1 4 4 4 1 1 1 1 1 1 1 8 1 4 4\n1 1 1 1 8 1 4 4 4 8 1 1 1 1 8 1 1 1 4 4\n1 1 1 1 1 1 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 1 1 1 1 1 1 1 1 1\n4 4 4 4 4 4 4 4 4 4 4 1 1 1 1 1 8 1 1 1\n4 4 4 1 1 1 1 1 1 4 4 1 8 1 1 1 1 1 8 1\n4 4 4 1 1 8 1 1 1 4 4 1 1 1 1 8 1 1 1 1\n4 4 4 1 1 1 1 8 1 4 4 1 1 8 1 1 1 1 1 1\n4 4 4 1 1 1 1 1 1 4 4 1 1 1 1 1 1 8 1 1\n4 4 4 4 4 4 4 4 4 4 4 1 1 1 1 1 1 1 1 1\nOutput:\n1 1 1 1 8 1 1 1 1\n8 1 1 1 1 1 1 8 1\n1 1 1 8 1 1 1 1 1\n1 8 1 1 1 8 1 1 1\n1 1 1 1 1 1 1 1 8\n1 1 1 1 1 1 1 1 1\n1 1 1 8 1 1 1 1 1\n1 1 1 1 1 1 1 8 1\n8 1 1 1 1 8 1 1 1\n\nExample 3:\n\nInput:\n4 4 4 4 4 4 4 4 4 4 4 4 4 1 1 1 1 1 8 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 1 1 8 1 1 1 4\n4 4 1 1 1 1 1 1 1 1 1 4 4 1 1 1 8 1 1 4\n4 4 8 1 1 1 1 1 1 1 1 4 4 1 1 1 1 1 1 4\n4 4 1 1 1 1 1 1 8 1 1 4 4 1 8 1 1 8 1 4\n4 4 1 1 1 8 1 1 1 1 1 4 4 1 1 1 1 1 1 4\n4 4 1 1 1 1 1 1 1 1 1 4 4 4 4 4 4 4 4 4\n4 4 1 1 1 1 1 8 1 1 1 4 4 4 4 4 4 4 4 4\n4 4 1 1 1 1 1 1 1 1 1 4 4 4 4 4 4 4 4 4\n4 4 1 1 1 1 1 1 1 1 1 4 4 4 4 4 4 4 4 4\n4 4 1 8 1 1 1 8 1 1 1 4 4 1 8 1 8 4 4 4\n4 4 1 1 1 1 1 1 1 1 1 4 4 1 1 1 1 4 4 4\n4 4 1 1 1 1 1 1 1 1 1 4 4 8 1 8 1 4 4 4\n4 4 1 1 1 1 1 1 1 1 1 4 4 1 1 1 1 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4 4\n4 1 1 1 8 1 1 1 1 1 8 1 1 1 1 1 1 1 4 4\n4 1 1 1 1 1 1 1 8 1 1 1 1 1 8 1 1 1 4 4\n4 1 1 1 1 1 1 1 1 1 1 8 1 1 1 1 8 1 4 4\n4 1 1 1 8 1 1 8 1 1 1 1 1 1 1 1 1 1 4 4\nOutput:\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 8 1 1 1 1 1 8 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 8 1 1 1 1 1 8 1 1 1\n1 1 1 1 1 1 1 1 1 1 8 1 1 1 1 8 1\n1 1 1 8 1 1 8 1 1 1 1 1 1 1 1 1 1\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 1 1 1 1 1 1 1 1 4 4 4 1 1 1 1 1 4\n4 4 4 1 1 8 1 1 1 1 1 4 4 4 1 1 1 1 1 4\n4 4 4 1 1 1 1 1 1 8 1 4 4 4 1 1 1 8 1 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 1 8 1 1 1 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 1 1 1 1 1 4\n4 4 1 1 8 1 1 8 1 1 1 1 4 4 1 1 1 1 1 4\n4 4 1 1 1 1 1 1 1 1 1 1 4 4 1 1 1 1 1 4\n4 4 1 1 1 1 1 1 1 8 1 1 4 4 1 1 8 1 1 4\n4 4 1 8 1 1 8 1 1 1 1 1 4 4 1 1 1 1 1 4\n4 4 1 1 1 1 1 1 1 1 1 1 4 4 1 1 1 1 1 4\n4 4 1 1 1 1 1 1 8 1 8 1 4 4 1 1 1 8 1 4\n4 4 1 1 8 1 1 1 1 1 1 1 4 4 1 1 1 1 1 4\n4 4 1 1 1 1 1 8 1 8 1 1 4 4 1 8 1 1 1 4\n4 4 1 1 1 1 1 1 1 1 1 1 4 4 1 1 1 1 1 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 1 1 1 1 1 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 1 1 1 1 1 4\n1 1 1 1 1 1 1 1 1 4 4 4 4 4 1 1 1 8 1 4\n1 1 8 1 1 1 8 1 1 4 4 4 4 4 1 1 1 1 1 4\n1 8 1 1 8 1 1 1 1 4 4 4 4 4 4 4 4 4 4 4\n", "answer": "1 1 8 1 1 8 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 8 1 1\n1 8 1 1 8 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 8 1 8 1\n1 1 8 1 1 1 1 1 1 1\n1 1 1 1 1 8 1 8 1 1\n1 1 1 1 1 1 1 1 1 1", "metadata": {"source_dataset": "arc_agi", "source_index": 213, "input": [[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 1, 1, 1, 1, 1, 4], [4, 4, 4, 1, 1, 8, 1, 1, 1, 1, 1, 4, 4, 4, 1, 1, 1, 1, 1, 4], [4, 4, 4, 1, 1, 1, 1, 1, 1, 8, 1, 4, 4, 4, 1, 1, 1, 8, 1, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 8, 1, 1, 1, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 4], [4, 4, 1, 1, 8, 1, 1, 8, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 4], [4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 4], [4, 4, 1, 1, 1, 1, 1, 1, 1, 8, 1, 1, 4, 4, 1, 1, 8, 1, 1, 4], [4, 4, 1, 8, 1, 1, 8, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 4], [4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 4], [4, 4, 1, 1, 1, 1, 1, 1, 8, 1, 8, 1, 4, 4, 1, 1, 1, 8, 1, 4], [4, 4, 1, 1, 8, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 4], [4, 4, 1, 1, 1, 1, 1, 8, 1, 8, 1, 1, 4, 4, 1, 8, 1, 1, 1, 4], [4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 4], [1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 1, 1, 1, 8, 1, 4], [1, 1, 8, 1, 1, 1, 8, 1, 1, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 4], [1, 8, 1, 1, 8, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]], "output": [[1, 1, 8, 1, 1, 8, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 8, 1, 1], [1, 8, 1, 1, 8, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 8, 1, 8, 1], [1, 1, 8, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 8, 1, 8, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]], "task_id": "8efcae92", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 213, "input": [[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 1, 1, 1, 1, 1, 4], [4, 4, 4, 1, 1, 8, 1, 1, 1, 1, 1, 4, 4, 4, 1, 1, 1, 1, 1, 4], [4, 4, 4, 1, 1, 1, 1, 1, 1, 8, 1, 4, 4, 4, 1, 1, 1, 8, 1, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 8, 1, 1, 1, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 4], [4, 4, 1, 1, 8, 1, 1, 8, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 4], [4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 4], [4, 4, 1, 1, 1, 1, 1, 1, 1, 8, 1, 1, 4, 4, 1, 1, 8, 1, 1, 4], [4, 4, 1, 8, 1, 1, 8, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 4], [4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 4], [4, 4, 1, 1, 1, 1, 1, 1, 8, 1, 8, 1, 4, 4, 1, 1, 1, 8, 1, 4], [4, 4, 1, 1, 8, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 4], [4, 4, 1, 1, 1, 1, 1, 8, 1, 8, 1, 1, 4, 4, 1, 8, 1, 1, 1, 4], [4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 4], [1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 1, 1, 1, 8, 1, 4], [1, 1, 8, 1, 1, 1, 8, 1, 1, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 4], [1, 8, 1, 1, 8, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]], "output": [[1, 1, 8, 1, 1, 8, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 8, 1, 1], [1, 8, 1, 1, 8, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 8, 1, 8, 1], [1, 1, 8, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 8, 1, 8, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]], "task_id": "8efcae92", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
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General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 3 3 7 7 3 3 7 3 3 3 3 7 6 6 6 6 4 7 4 7 4 7 7 7 4 7 7 4 Output: 7 7 7 8 7 7 8 7 7 7 7 7 Example 2: Input: 3 7 3 7 7 7 3 3 3 7 3 3 6 6 6 6 7 7 7 4 7 4 4 7 7 7 4 4 Output: 7 8 7 7 8 7 7 7 7 8 7 7 Example 3: Input: 7 7 3 7 7 3 3 7 7 3 7 3 6 6 6 6 4 7 4 4 7 4 7 4 7 7 7 7 Output: 7 8 7 7 8 7 7 7 8 7 8 7 Example 4: Input: 7 7 7 7 3 7 7 7 3 3 7 3 6 6 6 6 4 7 7 7 4 4 7 4 7 4 7 4 Output: 7 8 8 8 7 7 8 7 7 7 8 7 Example 5: Input: 7 3 7 7 3 7 7 7 3 3 3 3 6 6 6 6 7 7 7 7 7 7 7 4 7 7 4 4 Output: 8 7 8 8 7 8 8 7 7 7 7 7 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 3 7 7 7 3 7 3 3 3 3 3 7 6 6 6 6 7 7 4 7 7 7 4 7 4 7 4 7
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "7 8 7 8\n7 8 7 7\n7 7 7 8", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n3 3 7 7\n3 3 7 3\n3 3 3 7\n6 6 6 6\n4 7 4 7\n4 7 7 7\n4 7 7 4\nOutput:\n7 7 7 8\n7 7 8 7\n7 7 7 7\n\nExample 2:\n\nInput:\n3 7 3 7\n7 7 3 3\n3 7 3 3\n6 6 6 6\n7 7 7 4\n7 4 4 7\n7 7 4 4\nOutput:\n7 8 7 7\n8 7 7 7\n7 8 7 7\n\nExample 3:\n\nInput:\n7 7 3 7\n7 3 3 7\n7 3 7 3\n6 6 6 6\n4 7 4 4\n7 4 7 4\n7 7 7 7\nOutput:\n7 8 7 7\n8 7 7 7\n8 7 8 7\n\nExample 4:\n\nInput:\n7 7 7 7\n3 7 7 7\n3 3 7 3\n6 6 6 6\n4 7 7 7\n4 4 7 4\n7 4 7 4\nOutput:\n7 8 8 8\n7 7 8 7\n7 7 8 7\n\nExample 5:\n\nInput:\n7 3 7 7\n3 7 7 7\n3 3 3 3\n6 6 6 6\n7 7 7 7\n7 7 7 4\n7 7 4 4\nOutput:\n8 7 8 8\n7 8 8 7\n7 7 7 7\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n3 7 7 7\n3 7 3 3\n3 3 3 7\n6 6 6 6\n7 7 4 7\n7 7 4 7\n4 7 4 7\n", "answer": "7 8 7 8\n7 8 7 7\n7 7 7 8", "metadata": {"source_dataset": "arc_agi", "source_index": 214, "input": [[3, 7, 7, 7], [3, 7, 3, 3], [3, 3, 3, 7], [6, 6, 6, 6], [7, 7, 4, 7], [7, 7, 4, 7], [4, 7, 4, 7]], "output": [[7, 8, 7, 8], [7, 8, 7, 7], [7, 7, 7, 8]], "task_id": "f2829549", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 214, "input": [[3, 7, 7, 7], [3, 7, 3, 3], [3, 3, 3, 7], [6, 6, 6, 6], [7, 7, 4, 7], [7, 7, 4, 7], [4, 7, 4, 7]], "output": [[7, 8, 7, 8], [7, 8, 7, 7], [7, 7, 7, 8]], "task_id": "f2829549", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
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General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 7 7 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 5 9 9 0 9 9 9 9 0 5 2 4 0 9 9 9 9 0 5 9 4 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 Output: 7 7 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 5 9 9 0 9 5 9 5 0 5 2 4 0 0 5 0 5 0 5 9 4 9 0 5 0 5 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 Example 2: Input: 7 7 7 9 9 9 9 9 9 9 9 9 9 9 9 9 5 9 9 4 6 9 9 9 5 1 0 4 6 9 9 9 9 9 0 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 Output: 7 7 7 9 9 9 9 9 9 9 9 9 9 9 9 9 5 9 9 4 6 5 9 9 5 1 0 4 6 5 1 0 9 9 0 9 9 9 9 0 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 Example 3: Input: 7 7 7 7 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 4 4 2 5 5 9 9 9 9 9 9 9 9 4 2 4 5 5 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 Output: 7 7 7 7 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 4 4 2 5 5 4 4 2 5 4 4 2 5 4 2 4 5 5 4 2 4 5 4 2 4 5 9 9 9 9 9 9 9 9 9 9 9 9 9 Example 4: Input: 7 9 9 9 9 9 9 9 9 9 9 9 9 9 8 5 9 9 9 9 9 5 4 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 Output: 7 9 9 9 9 9 9 9 9 9 9 9 9 9 8 5 8 8 8 8 8 5 4 5 5 5 5 5 9 9 9 9 9 9 9 9 9 9 9 9 9 9 Example 5: Input: 7 7 9 9 9 9 0 9 9 9 8 0 8 9 9 9 0 9 9 9 9 9 9 9 9 Output: 7 7 9 9 9 9 0 9 9 0 8 0 8 8 0 9 0 9 9 0 9 9 9 9 9 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 7 7 7 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 0 9 9 2 9 9 9 9 9 9 0 5 8 2 9 9 9 9 9 9 0 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "7 7 7 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9\n0 9 9 2 0 9 9 0 9 9\n0 5 8 2 0 5 8 0 5 8\n0 9 9 9 0 9 9 0 9 9\n9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n7 7 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9\n9 5 9 9 0 9 9 9 9\n0 5 2 4 0 9 9 9 9\n0 5 9 4 9 9 9 9 9\n9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9\nOutput:\n7 7 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9\n9 5 9 9 0 9 5 9 5\n0 5 2 4 0 0 5 0 5\n0 5 9 4 9 0 5 0 5\n9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9\n\nExample 2:\n\nInput:\n7 7 7 9 9 9 9 9\n9 9 9 9 9 9 9 9\n5 9 9 4 6 9 9 9\n5 1 0 4 6 9 9 9\n9 9 0 9 9 9 9 9\n9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9\nOutput:\n7 7 7 9 9 9 9 9\n9 9 9 9 9 9 9 9\n5 9 9 4 6 5 9 9\n5 1 0 4 6 5 1 0\n9 9 0 9 9 9 9 0\n9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9\n\nExample 3:\n\nInput:\n7 7 7 7 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n4 4 2 5 5 9 9 9 9 9 9 9 9\n4 2 4 5 5 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\nOutput:\n7 7 7 7 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n4 4 2 5 5 4 4 2 5 4 4 2 5\n4 2 4 5 5 4 2 4 5 4 2 4 5\n9 9 9 9 9 9 9 9 9 9 9 9 9\n\nExample 4:\n\nInput:\n7 9 9 9 9 9 9\n9 9 9 9 9 9 9\n8 5 9 9 9 9 9\n5 4 9 9 9 9 9\n9 9 9 9 9 9 9\n9 9 9 9 9 9 9\nOutput:\n7 9 9 9 9 9 9\n9 9 9 9 9 9 9\n8 5 8 8 8 8 8\n5 4 5 5 5 5 5\n9 9 9 9 9 9 9\n9 9 9 9 9 9 9\n\nExample 5:\n\nInput:\n7 7 9 9 9\n9 0 9 9 9\n8 0 8 9 9\n9 0 9 9 9\n9 9 9 9 9\nOutput:\n7 7 9 9 9\n9 0 9 9 0\n8 0 8 8 0\n9 0 9 9 0\n9 9 9 9 9\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n7 7 7 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9\n0 9 9 2 9 9 9 9 9 9\n0 5 8 2 9 9 9 9 9 9\n0 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9\n", "answer": "7 7 7 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9\n0 9 9 2 0 9 9 0 9 9\n0 5 8 2 0 5 8 0 5 8\n0 9 9 9 0 9 9 0 9 9\n9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9", "metadata": {"source_dataset": "arc_agi", "source_index": 215, "input": [[7, 7, 7, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 9, 9, 2, 9, 9, 9, 9, 9, 9], [0, 5, 8, 2, 9, 9, 9, 9, 9, 9], [0, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9]], "output": [[7, 7, 7, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 9, 9, 2, 0, 9, 9, 0, 9, 9], [0, 5, 8, 2, 0, 5, 8, 0, 5, 8], [0, 9, 9, 9, 0, 9, 9, 0, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9]], "task_id": "12422b43", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 215, "input": [[7, 7, 7, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 9, 9, 2, 9, 9, 9, 9, 9, 9], [0, 5, 8, 2, 9, 9, 9, 9, 9, 9], [0, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9]], "output": [[7, 7, 7, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 9, 9, 2, 0, 9, 9, 0, 9, 9], [0, 5, 8, 2, 0, 5, 8, 0, 5, 8], [0, 9, 9, 9, 0, 9, 9, 0, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9]], "task_id": "12422b43", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
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General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 4 8 4 2 2 2 4 8 4 Output: 4 8 4 4 2 4 2 2 2 8 2 8 4 8 4 4 2 4 4 2 4 4 8 4 8 2 8 2 2 2 4 2 4 4 8 4 Example 2: Input: 6 9 4 6 9 8 4 8 7 Output: 6 9 4 4 6 6 6 9 8 8 9 9 4 8 7 7 8 4 4 8 7 7 8 4 9 9 8 8 9 6 6 6 4 4 9 6 Example 3: Input: 8 6 7 8 7 7 6 9 7 Output: 8 6 7 6 8 8 8 7 7 9 7 6 6 9 7 7 7 7 7 7 7 7 9 6 6 7 9 7 7 8 8 8 6 7 6 8 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 7 9 4 7 9 0 8 0 0
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "7 9 4 8 7 7\n7 9 0 0 9 9\n8 0 0 0 0 4\n4 0 0 0 0 8\n9 9 0 0 9 7\n7 7 8 4 9 7", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n4 8 4\n2 2 2\n4 8 4\nOutput:\n4 8 4 4 2 4\n2 2 2 8 2 8\n4 8 4 4 2 4\n4 2 4 4 8 4\n8 2 8 2 2 2\n4 2 4 4 8 4\n\nExample 2:\n\nInput:\n6 9 4\n6 9 8\n4 8 7\nOutput:\n6 9 4 4 6 6\n6 9 8 8 9 9\n4 8 7 7 8 4\n4 8 7 7 8 4\n9 9 8 8 9 6\n6 6 4 4 9 6\n\nExample 3:\n\nInput:\n8 6 7\n8 7 7\n6 9 7\nOutput:\n8 6 7 6 8 8\n8 7 7 9 7 6\n6 9 7 7 7 7\n7 7 7 7 9 6\n6 7 9 7 7 8\n8 8 6 7 6 8\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n7 9 4\n7 9 0\n8 0 0\n", "answer": "7 9 4 8 7 7\n7 9 0 0 9 9\n8 0 0 0 0 4\n4 0 0 0 0 8\n9 9 0 0 9 7\n7 7 8 4 9 7", "metadata": {"source_dataset": "arc_agi", "source_index": 216, "input": [[7, 9, 4], [7, 9, 0], [8, 0, 0]], "output": [[7, 9, 4, 8, 7, 7], [7, 9, 0, 0, 9, 9], [8, 0, 0, 0, 0, 4], [4, 0, 0, 0, 0, 8], [9, 9, 0, 0, 9, 7], [7, 7, 8, 4, 9, 7]], "task_id": "7fe24cdd", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 216, "input": [[7, 9, 4], [7, 9, 0], [8, 0, 0]], "output": [[7, 9, 4, 8, 7, 7], [7, 9, 0, 0, 9, 9], [8, 0, 0, 0, 0, 4], [4, 0, 0, 0, 0, 8], [9, 9, 0, 0, 9, 7], [7, 7, 8, 4, 9, 7]], "task_id": "7fe24cdd", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
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General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Output: 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 9 9 9 9 0 0 0 0 0 0 9 9 9 9 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 9 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Example 2: Input: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Output: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 9 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Example 3: Input: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 Output: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 9 9 9 9 0 0 0 0 0 0 9 9 9 9 0 0 0 0 0 0 9 9 9 9 0 0 0 0 0 0 9 9 9 9 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "0 0 0 0 0 0 0 0 0 0\n1 0 0 1 0 0 0 0 0 0\n0 9 9 0 0 0 0 0 0 0\n0 9 9 0 0 0 0 0 0 0\n1 0 0 1 0 0 0 0 0 0\n0 0 0 0 0 1 0 0 0 1\n0 0 0 0 0 0 9 9 9 0\n0 0 0 0 0 0 9 9 9 0\n0 0 0 0 0 0 9 9 9 0\n0 0 0 0 0 1 0 0 0 1", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n0 0 0 0 1 0 0 0 0 1\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 1 0 0 0 0 1\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 1 0 1 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 1 0 1 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\nOutput:\n0 0 0 0 1 0 0 0 0 1\n0 0 0 0 0 9 9 9 9 0\n0 0 0 0 0 9 9 9 9 0\n0 0 0 0 1 0 0 0 0 1\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 1 0 1 0 0 0 0 0 0\n0 0 9 0 0 0 0 0 0 0\n0 1 0 1 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n\nExample 2:\n\nInput:\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 1 0 1 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 1 0 1 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\nOutput:\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 1 0 1 0 0 0 0\n0 0 0 0 9 0 0 0 0 0\n0 0 0 1 0 1 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n\nExample 3:\n\nInput:\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 1 0 0 0 0 1 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 1 0 0 0 0 1 0 0 0\n0 0 0 0 0 0 0 0 0 0\nOutput:\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 1 0 0 0 0 1 0 0 0\n0 0 9 9 9 9 0 0 0 0\n0 0 9 9 9 9 0 0 0 0\n0 0 9 9 9 9 0 0 0 0\n0 0 9 9 9 9 0 0 0 0\n0 1 0 0 0 0 1 0 0 0\n0 0 0 0 0 0 0 0 0 0\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n0 0 0 0 0 0 0 0 0 0\n1 0 0 1 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n1 0 0 1 0 0 0 0 0 0\n0 0 0 0 0 1 0 0 0 1\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 1 0 0 0 1\n", "answer": "0 0 0 0 0 0 0 0 0 0\n1 0 0 1 0 0 0 0 0 0\n0 9 9 0 0 0 0 0 0 0\n0 9 9 0 0 0 0 0 0 0\n1 0 0 1 0 0 0 0 0 0\n0 0 0 0 0 1 0 0 0 1\n0 0 0 0 0 0 9 9 9 0\n0 0 0 0 0 0 9 9 9 0\n0 0 0 0 0 0 9 9 9 0\n0 0 0 0 0 1 0 0 0 1", "metadata": {"source_dataset": "arc_agi", "source_index": 217, "input": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0, 0, 1]], "output": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 9, 9, 0, 0, 0, 0, 0, 0, 0], [0, 9, 9, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 9, 9, 9, 0], [0, 0, 0, 0, 0, 0, 9, 9, 9, 0], [0, 0, 0, 0, 0, 0, 9, 9, 9, 0], [0, 0, 0, 0, 0, 1, 0, 0, 0, 1]], "task_id": "af902bf9", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 217, "input": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0, 0, 1]], "output": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 9, 9, 0, 0, 0, 0, 0, 0, 0], [0, 9, 9, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 9, 9, 9, 0], [0, 0, 0, 0, 0, 0, 9, 9, 9, 0], [0, 0, 0, 0, 0, 0, 9, 9, 9, 0], [0, 0, 0, 0, 0, 1, 0, 0, 0, 1]], "task_id": "af902bf9", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
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General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 0 2 6 6 6 6 2 0 0 2 6 0 0 6 2 0 0 2 6 0 0 6 2 0 0 2 6 6 6 6 2 0 0 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 Output: 6 6 6 6 6 6 6 6 6 0 0 0 0 0 0 6 6 0 2 2 2 2 0 6 6 0 2 6 6 2 0 6 6 0 2 6 6 2 0 6 6 0 2 2 2 2 0 6 6 0 0 0 0 0 0 6 6 6 6 6 6 6 6 6 Example 2: Input: 2 2 2 2 2 2 2 9 9 9 9 2 2 9 5 5 9 2 2 9 5 5 9 2 2 9 9 9 9 2 2 2 2 2 2 2 Output: 5 5 5 5 5 5 5 2 2 2 2 5 5 2 9 9 2 5 5 2 9 9 2 5 5 2 2 2 2 5 5 5 5 5 5 5 Example 3: Input: 7 7 7 7 7 7 7 4 4 4 4 7 7 4 2 2 4 7 7 4 2 2 4 7 7 4 4 4 4 7 7 7 7 7 7 7 Output: 2 2 2 2 2 2 2 7 7 7 7 2 2 7 4 4 7 2 2 7 4 4 7 2 2 7 7 7 7 2 2 2 2 2 2 2 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 1 1 1 1 1 1 1 2 2 2 2 1 1 2 8 8 2 1 1 2 8 8 2 1 1 2 2 2 2 1 1 1 1 1 1 1
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "8 8 8 8 8 8\n8 1 1 1 1 8\n8 1 2 2 1 8\n8 1 2 2 1 8\n8 1 1 1 1 8\n8 8 8 8 8 8", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n0 0 0 0 0 0 0 0\n0 2 2 2 2 2 2 0\n0 2 6 6 6 6 2 0\n0 2 6 0 0 6 2 0\n0 2 6 0 0 6 2 0\n0 2 6 6 6 6 2 0\n0 2 2 2 2 2 2 0\n0 0 0 0 0 0 0 0\nOutput:\n6 6 6 6 6 6 6 6\n6 0 0 0 0 0 0 6\n6 0 2 2 2 2 0 6\n6 0 2 6 6 2 0 6\n6 0 2 6 6 2 0 6\n6 0 2 2 2 2 0 6\n6 0 0 0 0 0 0 6\n6 6 6 6 6 6 6 6\n\nExample 2:\n\nInput:\n2 2 2 2 2 2\n2 9 9 9 9 2\n2 9 5 5 9 2\n2 9 5 5 9 2\n2 9 9 9 9 2\n2 2 2 2 2 2\nOutput:\n5 5 5 5 5 5\n5 2 2 2 2 5\n5 2 9 9 2 5\n5 2 9 9 2 5\n5 2 2 2 2 5\n5 5 5 5 5 5\n\nExample 3:\n\nInput:\n7 7 7 7 7 7\n7 4 4 4 4 7\n7 4 2 2 4 7\n7 4 2 2 4 7\n7 4 4 4 4 7\n7 7 7 7 7 7\nOutput:\n2 2 2 2 2 2\n2 7 7 7 7 2\n2 7 4 4 7 2\n2 7 4 4 7 2\n2 7 7 7 7 2\n2 2 2 2 2 2\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n1 1 1 1 1 1\n1 2 2 2 2 1\n1 2 8 8 2 1\n1 2 8 8 2 1\n1 2 2 2 2 1\n1 1 1 1 1 1\n", "answer": "8 8 8 8 8 8\n8 1 1 1 1 8\n8 1 2 2 1 8\n8 1 2 2 1 8\n8 1 1 1 1 8\n8 8 8 8 8 8", "metadata": {"source_dataset": "arc_agi", "source_index": 218, "input": [[1, 1, 1, 1, 1, 1], [1, 2, 2, 2, 2, 1], [1, 2, 8, 8, 2, 1], [1, 2, 8, 8, 2, 1], [1, 2, 2, 2, 2, 1], [1, 1, 1, 1, 1, 1]], "output": [[8, 8, 8, 8, 8, 8], [8, 1, 1, 1, 1, 8], [8, 1, 2, 2, 1, 8], [8, 1, 2, 2, 1, 8], [8, 1, 1, 1, 1, 8], [8, 8, 8, 8, 8, 8]], "task_id": "bda2d7a6", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 218, "input": [[1, 1, 1, 1, 1, 1], [1, 2, 2, 2, 2, 1], [1, 2, 8, 8, 2, 1], [1, 2, 8, 8, 2, 1], [1, 2, 2, 2, 2, 1], [1, 1, 1, 1, 1, 1]], "output": [[8, 8, 8, 8, 8, 8], [8, 1, 1, 1, 1, 8], [8, 1, 2, 2, 1, 8], [8, 1, 2, 2, 1, 8], [8, 1, 1, 1, 1, 8], [8, 8, 8, 8, 8, 8]], "task_id": "bda2d7a6", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null
General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 5 5 5 5 5 5 5 5 5 5 5 5 5 5 3 3 3 3 3 5 5 5 5 5 3 3 3 3 3 5 5 5 5 5 3 3 3 3 3 5 5 5 5 5 3 3 3 3 3 5 5 5 5 5 3 3 3 3 3 5 5 5 5 5 5 5 5 5 5 5 5 3 3 3 3 5 5 5 5 5 5 3 3 3 3 5 5 5 5 5 5 3 3 3 3 5 5 5 5 5 Output: 5 5 5 5 5 5 5 5 5 5 5 5 5 5 3 3 3 3 3 5 5 5 5 5 3 0 0 0 3 5 5 5 5 5 3 0 0 0 3 5 5 5 5 5 3 0 0 0 3 5 5 5 5 5 3 3 3 3 3 5 5 5 5 5 5 5 5 5 5 5 5 3 3 3 3 5 5 5 5 5 5 3 2 2 3 5 5 5 5 5 5 3 3 3 3 5 5 5 5 5 Example 2: Input: 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 3 3 3 3 5 5 5 5 5 5 3 3 3 3 5 5 5 5 5 5 3 3 3 3 5 5 5 5 5 5 3 3 3 3 5 5 5 5 5 5 5 5 5 5 5 5 3 3 3 3 3 3 5 5 5 5 3 3 3 3 3 3 5 5 5 5 3 3 3 3 3 3 5 5 5 5 3 3 3 3 3 3 5 5 5 Output: 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 3 3 3 3 5 5 5 5 5 5 3 2 2 3 5 5 5 5 5 5 3 2 2 3 5 5 5 5 5 5 3 3 3 3 5 5 5 5 5 5 5 5 5 5 5 5 3 3 3 3 3 3 5 5 5 5 3 0 0 0 0 3 5 5 5 5 3 0 0 0 0 3 5 5 5 5 3 3 3 3 3 3 5 5 5 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 5 5 5 5 3 3 3 3 3 3 5 5 5 5 3 3 3 3 3 3 5 5 5 5 3 3 3 3 3 3 5 5 5 5 3 3 3 3 3 3 5 5 5 5 3 3 3 3 3 3 5 5 5 5 3 3 3 3 3 3 5 5 5 5 5 5 5 5 5 5 3 3 3 3 3 3 5 5 5 5 3 3 3 3 3 3 5 5 5 5 3 3 3 3 3 3 5 5 5 5
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "5 5 5 5 3 3 3 3 3 3\n5 5 5 5 3 0 0 0 0 3\n5 5 5 5 3 0 0 0 0 3\n5 5 5 5 3 0 0 0 0 3\n5 5 5 5 3 0 0 0 0 3\n5 5 5 5 3 3 3 3 3 3\n5 5 5 5 5 5 5 5 5 5\n3 3 3 3 3 3 5 5 5 5\n3 2 2 2 2 3 5 5 5 5\n3 3 3 3 3 3 5 5 5 5", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n5 5 5 5 5 5 5 5 5 5\n5 5 5 5 3 3 3 3 3 5\n5 5 5 5 3 3 3 3 3 5\n5 5 5 5 3 3 3 3 3 5\n5 5 5 5 3 3 3 3 3 5\n5 5 5 5 3 3 3 3 3 5\n5 5 5 5 5 5 5 5 5 5\n5 3 3 3 3 5 5 5 5 5\n5 3 3 3 3 5 5 5 5 5\n5 3 3 3 3 5 5 5 5 5\nOutput:\n5 5 5 5 5 5 5 5 5 5\n5 5 5 5 3 3 3 3 3 5\n5 5 5 5 3 0 0 0 3 5\n5 5 5 5 3 0 0 0 3 5\n5 5 5 5 3 0 0 0 3 5\n5 5 5 5 3 3 3 3 3 5\n5 5 5 5 5 5 5 5 5 5\n5 3 3 3 3 5 5 5 5 5\n5 3 2 2 3 5 5 5 5 5\n5 3 3 3 3 5 5 5 5 5\n\nExample 2:\n\nInput:\n5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 3 3 3 3 5\n5 5 5 5 5 3 3 3 3 5\n5 5 5 5 5 3 3 3 3 5\n5 5 5 5 5 3 3 3 3 5\n5 5 5 5 5 5 5 5 5 5\n5 3 3 3 3 3 3 5 5 5\n5 3 3 3 3 3 3 5 5 5\n5 3 3 3 3 3 3 5 5 5\n5 3 3 3 3 3 3 5 5 5\nOutput:\n5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 3 3 3 3 5\n5 5 5 5 5 3 2 2 3 5\n5 5 5 5 5 3 2 2 3 5\n5 5 5 5 5 3 3 3 3 5\n5 5 5 5 5 5 5 5 5 5\n5 3 3 3 3 3 3 5 5 5\n5 3 0 0 0 0 3 5 5 5\n5 3 0 0 0 0 3 5 5 5\n5 3 3 3 3 3 3 5 5 5\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n5 5 5 5 3 3 3 3 3 3\n5 5 5 5 3 3 3 3 3 3\n5 5 5 5 3 3 3 3 3 3\n5 5 5 5 3 3 3 3 3 3\n5 5 5 5 3 3 3 3 3 3\n5 5 5 5 3 3 3 3 3 3\n5 5 5 5 5 5 5 5 5 5\n3 3 3 3 3 3 5 5 5 5\n3 3 3 3 3 3 5 5 5 5\n3 3 3 3 3 3 5 5 5 5\n", "answer": "5 5 5 5 3 3 3 3 3 3\n5 5 5 5 3 0 0 0 0 3\n5 5 5 5 3 0 0 0 0 3\n5 5 5 5 3 0 0 0 0 3\n5 5 5 5 3 0 0 0 0 3\n5 5 5 5 3 3 3 3 3 3\n5 5 5 5 5 5 5 5 5 5\n3 3 3 3 3 3 5 5 5 5\n3 2 2 2 2 3 5 5 5 5\n3 3 3 3 3 3 5 5 5 5", "metadata": {"source_dataset": "arc_agi", "source_index": 219, "input": [[5, 5, 5, 5, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 5, 5, 5, 5]], "output": [[5, 5, 5, 5, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 3, 0, 0, 0, 0, 3], [5, 5, 5, 5, 3, 0, 0, 0, 0, 3], [5, 5, 5, 5, 3, 0, 0, 0, 0, 3], [5, 5, 5, 5, 3, 0, 0, 0, 0, 3], [5, 5, 5, 5, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 5, 5, 5, 5], [3, 2, 2, 2, 2, 3, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 5, 5, 5, 5]], "task_id": "694f12f3", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 219, "input": [[5, 5, 5, 5, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 5, 5, 5, 5]], "output": [[5, 5, 5, 5, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 3, 0, 0, 0, 0, 3], [5, 5, 5, 5, 3, 0, 0, 0, 0, 3], [5, 5, 5, 5, 3, 0, 0, 0, 0, 3], [5, 5, 5, 5, 3, 0, 0, 0, 0, 3], [5, 5, 5, 5, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 5, 5, 5, 5], [3, 2, 2, 2, 2, 3, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 5, 5, 5, 5]], "task_id": "694f12f3", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null
General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 Output: 1 2 2 2 1 2 1 2 1 2 2 2 1 2 2 2 1 2 1 2 1 2 2 2 1 Example 2: Input: 8 8 8 8 1 8 8 8 8 Output: 1 8 1 8 1 8 1 8 1 Example 3: Input: 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 1 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 Output: 1 4 4 4 4 4 1 4 1 4 4 4 1 4 4 4 1 4 1 4 4 4 4 4 1 4 4 4 4 4 1 4 1 4 4 4 1 4 4 4 1 4 1 4 4 4 4 4 1 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "1 6 6 6 6 6 6 6 6 6 1\n6 1 6 6 6 6 6 6 6 1 6\n6 6 1 6 6 6 6 6 1 6 6\n6 6 6 1 6 6 6 1 6 6 6\n6 6 6 6 1 6 1 6 6 6 6\n6 6 6 6 6 1 6 6 6 6 6\n6 6 6 6 1 6 1 6 6 6 6\n6 6 6 1 6 6 6 1 6 6 6\n6 6 1 6 6 6 6 6 1 6 6\n6 1 6 6 6 6 6 6 6 1 6\n1 6 6 6 6 6 6 6 6 6 1", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n2 2 2 2 2\n2 2 2 2 2\n2 2 1 2 2\n2 2 2 2 2\n2 2 2 2 2\nOutput:\n1 2 2 2 1\n2 1 2 1 2\n2 2 1 2 2\n2 1 2 1 2\n1 2 2 2 1\n\nExample 2:\n\nInput:\n8 8 8\n8 1 8\n8 8 8\nOutput:\n1 8 1\n8 1 8\n1 8 1\n\nExample 3:\n\nInput:\n4 4 4 4 4 4 4\n4 4 4 4 4 4 4\n4 4 4 4 4 4 4\n4 4 4 1 4 4 4\n4 4 4 4 4 4 4\n4 4 4 4 4 4 4\n4 4 4 4 4 4 4\nOutput:\n1 4 4 4 4 4 1\n4 1 4 4 4 1 4\n4 4 1 4 1 4 4\n4 4 4 1 4 4 4\n4 4 1 4 1 4 4\n4 1 4 4 4 1 4\n1 4 4 4 4 4 1\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 1 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6\n", "answer": "1 6 6 6 6 6 6 6 6 6 1\n6 1 6 6 6 6 6 6 6 1 6\n6 6 1 6 6 6 6 6 1 6 6\n6 6 6 1 6 6 6 1 6 6 6\n6 6 6 6 1 6 1 6 6 6 6\n6 6 6 6 6 1 6 6 6 6 6\n6 6 6 6 1 6 1 6 6 6 6\n6 6 6 1 6 6 6 1 6 6 6\n6 6 1 6 6 6 6 6 1 6 6\n6 1 6 6 6 6 6 6 6 1 6\n1 6 6 6 6 6 6 6 6 6 1", "metadata": {"source_dataset": "arc_agi", "source_index": 220, "input": [[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 1, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]], "output": [[1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1], [6, 1, 6, 6, 6, 6, 6, 6, 6, 1, 6], [6, 6, 1, 6, 6, 6, 6, 6, 1, 6, 6], [6, 6, 6, 1, 6, 6, 6, 1, 6, 6, 6], [6, 6, 6, 6, 1, 6, 1, 6, 6, 6, 6], [6, 6, 6, 6, 6, 1, 6, 6, 6, 6, 6], [6, 6, 6, 6, 1, 6, 1, 6, 6, 6, 6], [6, 6, 6, 1, 6, 6, 6, 1, 6, 6, 6], [6, 6, 1, 6, 6, 6, 6, 6, 1, 6, 6], [6, 1, 6, 6, 6, 6, 6, 6, 6, 1, 6], [1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1]], "task_id": "ea786f4a", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 220, "input": [[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 1, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]], "output": [[1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1], [6, 1, 6, 6, 6, 6, 6, 6, 6, 1, 6], [6, 6, 1, 6, 6, 6, 6, 6, 1, 6, 6], [6, 6, 6, 1, 6, 6, 6, 1, 6, 6, 6], [6, 6, 6, 6, 1, 6, 1, 6, 6, 6, 6], [6, 6, 6, 6, 6, 1, 6, 6, 6, 6, 6], [6, 6, 6, 6, 1, 6, 1, 6, 6, 6, 6], [6, 6, 6, 1, 6, 6, 6, 1, 6, 6, 6], [6, 6, 1, 6, 6, 6, 6, 6, 1, 6, 6], [6, 1, 6, 6, 6, 6, 6, 6, 6, 1, 6], [1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1]], "task_id": "ea786f4a", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null
General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 0 0 6 7 0 7 8 0 8 3 3 0 3 9 9 3 0 3 3 8 0 8 7 0 7 6 0 0 4 7 0 5 7 6 7 0 0 8 3 8 3 3 9 9 9 9 3 3 8 3 8 0 0 7 6 7 5 0 7 7 7 4 0 7 6 7 8 4 8 0 3 9 9 9 9 9 9 3 0 8 4 8 7 6 7 0 4 7 5 4 7 7 7 0 7 6 4 8 0 8 9 9 9 9 9 9 9 9 8 0 8 4 6 7 0 7 7 7 0 5 8 4 7 4 5 0 3 3 3 9 5 7 6 6 6 6 7 5 9 3 3 3 0 5 4 7 4 8 0 5 4 8 7 7 0 0 0 3 9 9 7 5 6 6 6 6 5 7 9 9 3 0 0 0 7 7 8 4 5 0 5 0 0 5 7 4 3 9 9 9 7 5 5 7 7 5 5 7 9 9 9 3 4 7 5 0 0 5 4 8 0 5 5 4 7 7 9 9 9 1 1 1 1 5 5 7 7 5 9 9 9 9 7 7 4 5 5 0 8 4 8 4 3 0 3 9 7 7 0 1 1 1 1 9 9 6 5 5 5 0 7 7 9 3 0 3 4 8 0 8 4 8 3 3 9 9 8 7 5 1 1 1 1 6 6 9 5 5 9 5 7 8 9 9 3 3 8 4 8 0 8 0 3 9 9 9 5 5 7 7 6 9 5 5 5 5 9 6 1 1 1 1 1 1 9 3 0 8 3 8 0 8 9 9 9 9 5 5 8 7 9 6 5 5 5 5 6 9 1 1 1 1 1 1 9 9 8 0 8 3 3 9 5 7 7 5 8 8 8 7 7 7 9 5 5 9 7 7 7 8 8 8 1 1 1 5 9 3 3 3 9 9 7 5 5 7 8 8 7 8 8 7 5 0 0 5 7 8 8 7 8 8 1 1 1 7 9 9 3 0 9 9 6 6 5 7 8 7 8 8 5 5 7 7 7 7 5 5 8 8 7 8 1 1 1 6 9 9 9 3 9 9 6 6 7 5 7 8 8 8 5 5 8 7 7 8 5 5 8 8 8 7 1 1 1 6 9 9 9 9 9 9 6 6 7 5 7 8 8 8 5 5 8 7 7 8 5 5 8 8 8 7 5 7 6 6 9 9 9 9 9 9 6 6 5 7 8 7 8 8 5 5 7 7 7 7 5 5 8 8 7 8 7 5 6 6 9 9 9 3 9 9 7 5 5 7 8 8 7 8 8 7 5 0 0 5 7 8 8 7 8 8 7 5 5 7 9 9 3 0 3 9 5 7 7 5 8 8 8 7 7 7 9 5 5 9 7 7 7 8 8 8 5 7 7 5 9 3 3 3 0 8 9 9 9 9 5 5 8 7 9 6 5 5 5 5 6 9 7 8 5 5 9 9 9 9 8 0 8 3 8 0 3 9 9 9 5 5 7 7 6 9 5 5 5 5 9 6 7 7 5 5 9 9 9 3 0 8 3 8 4 8 3 3 9 9 8 7 5 9 5 5 9 6 6 9 5 5 9 5 7 8 9 9 3 3 8 4 8 0 8 4 3 0 3 9 7 7 0 5 5 5 6 9 9 6 5 5 5 0 7 7 9 3 0 3 4 8 0 8 0 5 5 4 7 7 9 9 9 9 5 7 7 5 5 7 7 5 9 9 9 9 7 7 4 5 5 0 8 4 5 0 0 5 7 4 3 9 9 9 7 5 5 7 7 5 5 7 9 9 9 3 4 7 5 0 0 5 4 8 4 8 7 7 0 0 0 3 9 9 7 5 6 6 6 6 5 7 9 9 3 0 0 0 7 7 8 4 5 0 8 4 7 4 5 0 3 3 3 9 5 7 6 6 6 6 7 5 9 3 3 3 0 5 4 7 4 8 0 5 7 7 7 0 7 6 4 8 0 8 9 9 9 9 9 9 9 9 8 0 8 4 6 7 0 7 7 7 0 5 7 4 0 7 6 7 8 4 8 0 3 9 9 9 9 9 9 3 0 8 4 8 7 6 7 0 4 7 5 4 Output: 0 0 6 7 0 7 8 0 8 3 3 0 3 9 9 3 0 3 3 8 0 8 7 0 7 6 0 0 4 7 0 5 7 6 7 0 0 8 3 8 3 3 9 9 9 9 3 3 8 3 8 0 0 7 6 7 5 0 7 7 7 4 0 7 6 7 8 4 8 0 3 9 9 9 9 9 9 3 0 8 4 8 7 6 7 0 4 7 5 4 7 7 7 0 7 6 4 8 0 8 9 9 9 9 9 9 9 9 8 0 8 4 6 7 0 7 7 7 0 5 8 4 7 4 5 0 3 3 3 9 5 7 6 6 6 6 7 5 9 3 3 3 0 5 4 7 4 8 0 5 4 8 7 7 0 0 0 3 9 9 7 5 6 6 6 6 5 7 9 9 3 0 0 0 7 7 8 4 5 0 5 0 0 5 7 4 3 9 9 9 7 5 5 7 7 5 5 7 9 9 9 3 4 7 5 0 0 5 4 8 0 5 5 4 7 7 9 9 9 9 5 7 7 5 5 7 7 5 9 9 9 9 7 7 4 5 5 0 8 4 8 4 3 0 3 9 7 7 0 5 5 5 6 9 9 6 5 5 5 0 7 7 9 3 0 3 4 8 0 8 4 8 3 3 9 9 8 7 5 9 5 5 9 6 6 9 5 5 9 5 7 8 9 9 3 3 8 4 8 0 8 0 3 9 9 9 5 5 7 7 6 9 5 5 5 5 9 6 7 7 5 5 9 9 9 3 0 8 3 8 0 8 9 9 9 9 5 5 8 7 9 6 5 5 5 5 6 9 7 8 5 5 9 9 9 9 8 0 8 3 3 9 5 7 7 5 8 8 8 7 7 7 9 5 5 9 7 7 7 8 8 8 5 7 7 5 9 3 3 3 9 9 7 5 5 7 8 8 7 8 8 7 5 0 0 5 7 8 8 7 8 8 7 5 5 7 9 9 3 0 9 9 6 6 5 7 8 7 8 8 5 5 7 7 7 7 5 5 8 8 7 8 7 5 6 6 9 9 9 3 9 9 6 6 7 5 7 8 8 8 5 5 8 7 7 8 5 5 8 8 8 7 5 7 6 6 9 9 9 9 9 9 6 6 7 5 7 8 8 8 5 5 8 7 7 8 5 5 8 8 8 7 5 7 6 6 9 9 9 9 9 9 6 6 5 7 8 7 8 8 5 5 7 7 7 7 5 5 8 8 7 8 7 5 6 6 9 9 9 3 9 9 7 5 5 7 8 8 7 8 8 7 5 0 0 5 7 8 8 7 8 8 7 5 5 7 9 9 3 0 3 9 5 7 7 5 8 8 8 7 7 7 9 5 5 9 7 7 7 8 8 8 5 7 7 5 9 3 3 3 0 8 9 9 9 9 5 5 8 7 9 6 5 5 5 5 6 9 7 8 5 5 9 9 9 9 8 0 8 3 8 0 3 9 9 9 5 5 7 7 6 9 5 5 5 5 9 6 7 7 5 5 9 9 9 3 0 8 3 8 4 8 3 3 9 9 8 7 5 9 5 5 9 6 6 9 5 5 9 5 7 8 9 9 3 3 8 4 8 0 8 4 3 0 3 9 7 7 0 5 5 5 6 9 9 6 5 5 5 0 7 7 9 3 0 3 4 8 0 8 0 5 5 4 7 7 9 9 9 9 5 7 7 5 5 7 7 5 9 9 9 9 7 7 4 5 5 0 8 4 5 0 0 5 7 4 3 9 9 9 7 5 5 7 7 5 5 7 9 9 9 3 4 7 5 0 0 5 4 8 4 8 7 7 0 0 0 3 9 9 7 5 6 6 6 6 5 7 9 9 3 0 0 0 7 7 8 4 5 0 8 4 7 4 5 0 3 3 3 9 5 7 6 6 6 6 7 5 9 3 3 3 0 5 4 7 4 8 0 5 7 7 7 0 7 6 4 8 0 8 9 9 9 9 9 9 9 9 8 0 8 4 6 7 0 7 7 7 0 5 7 4 0 7 6 7 8 4 8 0 3 9 9 9 9 9 9 3 0 8 4 8 7 6 7 0 4 7 5 4 Example 2: Input: 5 8 6 5 5 6 4 4 4 5 7 6 7 6 6 7 6 7 5 4 4 4 6 5 5 6 8 5 0 3 8 5 5 6 6 5 4 4 5 4 7 7 6 7 7 6 7 7 4 5 4 4 5 6 6 5 5 8 3 0 3 0 5 6 6 5 9 9 4 4 7 6 4 4 4 4 6 7 4 4 9 9 5 6 6 5 0 3 6 4 0 3 6 5 5 6 9 9 4 4 6 7 4 4 4 4 7 6 1 1 1 1 6 5 5 6 3 0 4 6 8 8 3 0 5 8 7 7 7 6 4 7 9 8 8 9 7 4 1 1 1 1 8 5 1 1 1 1 1 7 8 8 0 3 8 5 6 7 6 7 4 4 8 9 9 8 4 4 1 1 1 1 1 1 1 1 1 1 1 7 7 7 4 6 3 0 7 6 4 4 0 0 4 7 7 4 0 0 1 1 1 1 1 1 1 1 1 7 8 8 7 7 6 4 0 3 6 7 4 4 0 0 4 4 4 4 0 0 1 1 1 1 1 1 1 1 1 7 8 8 9 9 7 6 7 6 6 7 3 3 8 8 8 0 0 8 8 8 3 3 7 1 1 1 1 1 1 9 4 4 9 9 7 7 6 7 5 6 3 3 8 8 0 8 8 0 8 8 3 3 6 1 1 1 1 1 1 9 4 4 4 4 7 6 4 4 8 7 6 7 8 0 8 8 8 8 0 8 7 6 7 8 4 4 6 7 4 4 5 4 4 4 6 7 4 4 7 8 5 6 0 8 8 8 8 8 8 0 6 5 8 7 4 4 7 6 4 4 4 5 7 6 4 4 0 0 9 6 7 7 6 7 3 3 3 3 7 6 7 7 6 9 0 0 4 4 6 7 7 7 6 7 7 4 0 0 6 9 7 7 5 6 3 3 3 3 6 5 7 7 9 6 0 0 4 7 7 6 7 6 4 4 9 8 4 4 7 7 9 6 8 7 6 7 7 6 7 8 6 9 7 7 4 4 8 9 4 4 6 7 4 4 8 9 7 4 7 7 6 9 7 8 5 6 6 5 8 7 9 6 7 7 4 7 9 8 4 4 7 6 4 4 8 9 7 4 7 7 6 9 7 8 5 6 6 5 8 7 9 6 7 7 4 7 9 8 4 4 7 6 4 4 9 8 4 4 7 7 9 6 8 7 6 7 7 6 7 8 6 9 7 7 4 4 8 9 4 4 6 7 6 7 7 4 0 0 6 9 7 7 5 6 3 3 3 3 6 5 7 7 9 6 0 0 4 7 7 6 7 6 7 6 4 4 0 0 9 6 7 7 6 7 3 3 3 3 7 6 7 7 6 9 0 0 4 4 6 7 7 7 4 4 6 7 4 4 7 8 5 6 0 8 8 8 8 8 8 0 6 5 8 7 4 4 7 6 4 4 4 5 4 4 7 6 4 4 8 7 6 7 8 0 8 8 8 8 0 8 7 6 7 8 4 4 6 7 4 4 5 4 9 9 7 7 6 7 5 6 3 3 8 8 0 8 8 0 8 8 3 3 6 5 7 6 7 7 9 9 4 4 9 9 7 6 7 6 6 7 3 3 8 8 8 0 0 8 8 8 3 3 7 6 6 7 6 7 9 9 4 4 7 7 6 4 0 3 6 7 4 4 0 0 4 4 4 4 0 0 4 4 7 6 3 0 4 6 7 7 8 8 7 7 4 6 3 0 7 6 4 4 0 0 4 7 1 1 1 1 1 1 6 7 0 3 6 4 7 7 8 8 8 8 0 3 8 5 6 7 6 7 4 4 8 9 1 1 1 1 1 1 7 6 5 8 3 0 8 8 7 7 8 8 3 0 5 8 7 7 7 6 4 7 9 8 1 1 1 1 1 1 7 7 8 5 0 3 8 8 7 7 0 3 6 5 5 6 9 9 4 4 6 7 4 4 4 4 7 6 4 4 9 9 6 5 5 6 3 0 4 6 3 0 5 6 6 5 9 9 4 4 7 6 4 4 4 4 6 7 4 4 9 9 5 6 6 5 0 3 6 4 Output: 5 8 6 5 5 6 4 4 4 5 7 6 7 6 6 7 6 7 5 4 4 4 6 5 5 6 8 5 0 3 8 5 5 6 6 5 4 4 5 4 7 7 6 7 7 6 7 7 4 5 4 4 5 6 6 5 5 8 3 0 3 0 5 6 6 5 9 9 4 4 7 6 4 4 4 4 6 7 4 4 9 9 5 6 6 5 0 3 6 4 0 3 6 5 5 6 9 9 4 4 6 7 4 4 4 4 7 6 4 4 9 9 6 5 5 6 3 0 4 6 8 8 3 0 5 8 7 7 7 6 4 7 9 8 8 9 7 4 6 7 7 7 8 5 0 3 8 8 7 7 8 8 0 3 8 5 6 7 6 7 4 4 8 9 9 8 4 4 7 6 7 6 5 8 3 0 8 8 7 7 7 7 4 6 3 0 7 6 4 4 0 0 4 7 7 4 0 0 4 4 6 7 0 3 6 4 7 7 8 8 7 7 6 4 0 3 6 7 4 4 0 0 4 4 4 4 0 0 4 4 7 6 3 0 4 6 7 7 8 8 9 9 7 6 7 6 6 7 3 3 8 8 8 0 0 8 8 8 3 3 7 6 6 7 6 7 9 9 4 4 9 9 7 7 6 7 5 6 3 3 8 8 0 8 8 0 8 8 3 3 6 5 7 6 7 7 9 9 4 4 4 4 7 6 4 4 8 7 6 7 8 0 8 8 8 8 0 8 7 6 7 8 4 4 6 7 4 4 5 4 4 4 6 7 4 4 7 8 5 6 0 8 8 8 8 8 8 0 6 5 8 7 4 4 7 6 4 4 4 5 7 6 4 4 0 0 9 6 7 7 6 7 3 3 3 3 7 6 7 7 6 9 0 0 4 4 6 7 7 7 6 7 7 4 0 0 6 9 7 7 5 6 3 3 3 3 6 5 7 7 9 6 0 0 4 7 7 6 7 6 4 4 9 8 4 4 7 7 9 6 8 7 6 7 7 6 7 8 6 9 7 7 4 4 8 9 4 4 6 7 4 4 8 9 7 4 7 7 6 9 7 8 5 6 6 5 8 7 9 6 7 7 4 7 9 8 4 4 7 6 4 4 8 9 7 4 7 7 6 9 7 8 5 6 6 5 8 7 9 6 7 7 4 7 9 8 4 4 7 6 4 4 9 8 4 4 7 7 9 6 8 7 6 7 7 6 7 8 6 9 7 7 4 4 8 9 4 4 6 7 6 7 7 4 0 0 6 9 7 7 5 6 3 3 3 3 6 5 7 7 9 6 0 0 4 7 7 6 7 6 7 6 4 4 0 0 9 6 7 7 6 7 3 3 3 3 7 6 7 7 6 9 0 0 4 4 6 7 7 7 4 4 6 7 4 4 7 8 5 6 0 8 8 8 8 8 8 0 6 5 8 7 4 4 7 6 4 4 4 5 4 4 7 6 4 4 8 7 6 7 8 0 8 8 8 8 0 8 7 6 7 8 4 4 6 7 4 4 5 4 9 9 7 7 6 7 5 6 3 3 8 8 0 8 8 0 8 8 3 3 6 5 7 6 7 7 9 9 4 4 9 9 7 6 7 6 6 7 3 3 8 8 8 0 0 8 8 8 3 3 7 6 6 7 6 7 9 9 4 4 7 7 6 4 0 3 6 7 4 4 0 0 4 4 4 4 0 0 4 4 7 6 3 0 4 6 7 7 8 8 7 7 4 6 3 0 7 6 4 4 0 0 4 7 7 4 0 0 4 4 6 7 0 3 6 4 7 7 8 8 8 8 0 3 8 5 6 7 6 7 4 4 8 9 9 8 4 4 7 6 7 6 5 8 3 0 8 8 7 7 8 8 3 0 5 8 7 7 7 6 4 7 9 8 8 9 7 4 6 7 7 7 8 5 0 3 8 8 7 7 0 3 6 5 5 6 9 9 4 4 6 7 4 4 4 4 7 6 4 4 9 9 6 5 5 6 3 0 4 6 3 0 5 6 6 5 9 9 4 4 7 6 4 4 4 4 6 7 4 4 9 9 5 6 6 5 0 3 6 4 Example 3: Input: 8 0 8 8 5 7 6 6 7 7 3 3 0 5 5 0 3 3 7 7 6 6 7 5 8 8 0 8 3 3 0 7 8 8 7 5 7 6 7 7 4 3 5 0 0 5 3 4 7 7 6 7 5 7 8 8 7 0 3 3 3 3 5 7 8 8 8 8 6 6 0 5 7 5 5 7 5 0 6 6 8 8 8 8 7 5 3 3 0 8 3 3 7 5 8 8 8 8 7 6 5 0 3 7 7 3 0 5 6 7 8 8 8 8 5 7 3 3 3 0 1 1 1 1 7 0 3 4 0 5 4 4 9 9 9 9 4 4 5 0 4 3 0 7 3 3 8 8 5 9 1 1 1 1 0 8 3 3 5 0 4 4 9 9 9 9 4 4 0 5 3 3 8 0 3 3 8 8 9 5 1 1 1 1 3 3 0 5 7 3 7 7 4 4 4 4 7 7 3 7 5 0 3 3 0 3 5 9 8 8 1 1 1 1 3 3 5 0 5 7 7 7 4 4 4 4 7 7 7 5 0 5 3 3 8 0 9 5 8 8 1 1 1 1 0 5 4 5 7 9 9 9 9 5 5 9 9 9 9 7 5 4 5 0 3 3 8 8 7 6 1 1 1 1 5 0 8 4 9 9 9 9 5 9 9 5 9 9 9 9 4 8 0 5 3 4 8 8 6 6 1 1 1 1 1 1 4 3 4 5 9 5 9 9 9 9 5 9 5 4 3 4 5 7 5 0 7 6 7 7 1 1 1 1 1 1 3 3 8 4 5 9 9 9 9 9 9 5 4 8 3 3 7 3 0 5 6 6 7 7 0 5 4 4 7 7 1 1 1 1 1 5 9 9 9 9 5 4 6 9 9 8 7 7 4 4 5 0 4 3 5 0 4 4 7 7 1 1 1 1 1 4 9 7 7 9 4 8 9 6 8 9 7 7 4 4 0 5 3 3 7 3 9 9 4 4 1 1 1 1 1 3 4 5 5 4 3 3 9 8 6 9 4 4 9 9 3 7 5 0 5 7 9 9 4 4 6 9 9 8 3 4 8 4 4 8 4 3 8 9 9 6 4 4 9 9 7 5 0 5 5 7 9 9 4 4 6 9 9 8 3 4 8 4 4 8 4 3 8 9 9 6 4 4 9 9 7 5 0 5 7 3 9 9 4 4 9 6 8 9 3 3 4 5 5 4 3 3 9 8 6 9 4 4 9 9 3 7 5 0 5 0 4 4 7 7 9 8 6 9 8 4 9 7 7 9 4 8 9 6 8 9 7 7 4 4 0 5 3 3 0 5 4 4 7 7 8 9 9 6 4 5 9 9 9 9 5 4 6 9 9 8 7 7 4 4 5 0 4 3 6 6 5 0 3 7 3 3 8 4 5 9 9 9 9 9 9 5 4 8 3 3 7 3 0 5 6 6 7 7 6 7 0 5 7 5 4 3 4 5 9 5 9 9 9 9 5 9 5 4 3 4 5 7 5 0 7 6 7 7 8 8 4 3 5 0 8 4 9 9 9 9 5 9 9 5 9 9 9 9 4 8 0 5 3 4 8 8 6 6 8 8 3 3 0 5 4 5 7 9 9 9 9 5 5 9 9 9 9 7 5 4 5 0 3 3 8 8 7 6 5 9 0 8 3 3 5 0 5 7 7 7 4 4 4 4 7 7 7 5 0 5 3 3 8 0 9 5 8 8 9 5 3 0 3 3 0 5 7 3 7 7 4 4 4 4 7 7 3 7 5 0 3 3 0 3 5 9 8 8 8 8 3 3 0 8 3 3 5 0 4 4 9 9 9 9 4 4 0 5 3 3 8 0 3 3 8 8 9 5 8 8 3 3 7 0 3 4 0 5 4 4 9 9 9 9 4 4 5 0 4 3 0 7 3 3 8 8 5 9 3 3 7 5 8 8 8 8 7 6 5 0 3 7 7 3 0 5 6 7 8 8 8 8 5 7 3 3 3 0 3 3 5 7 8 8 8 8 6 6 0 5 7 5 5 7 5 0 6 6 8 8 8 8 7 5 3 3 0 8 Output: 8 0 8 8 5 7 6 6 7 7 3 3 0 5 5 0 3 3 7 7 6 6 7 5 8 8 0 8 3 3 0 7 8 8 7 5 7 6 7 7 4 3 5 0 0 5 3 4 7 7 6 7 5 7 8 8 7 0 3 3 3 3 5 7 8 8 8 8 6 6 0 5 7 5 5 7 5 0 6 6 8 8 8 8 7 5 3 3 0 8 3 3 7 5 8 8 8 8 7 6 5 0 3 7 7 3 0 5 6 7 8 8 8 8 5 7 3 3 3 0 8 8 3 3 7 0 3 4 0 5 4 4 9 9 9 9 4 4 5 0 4 3 0 7 3 3 8 8 5 9 8 8 3 3 0 8 3 3 5 0 4 4 9 9 9 9 4 4 0 5 3 3 8 0 3 3 8 8 9 5 9 5 3 0 3 3 0 5 7 3 7 7 4 4 4 4 7 7 3 7 5 0 3 3 0 3 5 9 8 8 5 9 0 8 3 3 5 0 5 7 7 7 4 4 4 4 7 7 7 5 0 5 3 3 8 0 9 5 8 8 8 8 3 3 0 5 4 5 7 9 9 9 9 5 5 9 9 9 9 7 5 4 5 0 3 3 8 8 7 6 8 8 4 3 5 0 8 4 9 9 9 9 5 9 9 5 9 9 9 9 4 8 0 5 3 4 8 8 6 6 6 7 0 5 7 5 4 3 4 5 9 5 9 9 9 9 5 9 5 4 3 4 5 7 5 0 7 6 7 7 6 6 5 0 3 7 3 3 8 4 5 9 9 9 9 9 9 5 4 8 3 3 7 3 0 5 6 6 7 7 0 5 4 4 7 7 8 9 9 6 4 5 9 9 9 9 5 4 6 9 9 8 7 7 4 4 5 0 4 3 5 0 4 4 7 7 9 8 6 9 8 4 9 7 7 9 4 8 9 6 8 9 7 7 4 4 0 5 3 3 7 3 9 9 4 4 9 6 8 9 3 3 4 5 5 4 3 3 9 8 6 9 4 4 9 9 3 7 5 0 5 7 9 9 4 4 6 9 9 8 3 4 8 4 4 8 4 3 8 9 9 6 4 4 9 9 7 5 0 5 5 7 9 9 4 4 6 9 9 8 3 4 8 4 4 8 4 3 8 9 9 6 4 4 9 9 7 5 0 5 7 3 9 9 4 4 9 6 8 9 3 3 4 5 5 4 3 3 9 8 6 9 4 4 9 9 3 7 5 0 5 0 4 4 7 7 9 8 6 9 8 4 9 7 7 9 4 8 9 6 8 9 7 7 4 4 0 5 3 3 0 5 4 4 7 7 8 9 9 6 4 5 9 9 9 9 5 4 6 9 9 8 7 7 4 4 5 0 4 3 6 6 5 0 3 7 3 3 8 4 5 9 9 9 9 9 9 5 4 8 3 3 7 3 0 5 6 6 7 7 6 7 0 5 7 5 4 3 4 5 9 5 9 9 9 9 5 9 5 4 3 4 5 7 5 0 7 6 7 7 8 8 4 3 5 0 8 4 9 9 9 9 5 9 9 5 9 9 9 9 4 8 0 5 3 4 8 8 6 6 8 8 3 3 0 5 4 5 7 9 9 9 9 5 5 9 9 9 9 7 5 4 5 0 3 3 8 8 7 6 5 9 0 8 3 3 5 0 5 7 7 7 4 4 4 4 7 7 7 5 0 5 3 3 8 0 9 5 8 8 9 5 3 0 3 3 0 5 7 3 7 7 4 4 4 4 7 7 3 7 5 0 3 3 0 3 5 9 8 8 8 8 3 3 0 8 3 3 5 0 4 4 9 9 9 9 4 4 0 5 3 3 8 0 3 3 8 8 9 5 8 8 3 3 7 0 3 4 0 5 4 4 9 9 9 9 4 4 5 0 4 3 0 7 3 3 8 8 5 9 3 3 7 5 8 8 8 8 7 6 5 0 3 7 7 3 0 5 6 7 8 8 8 8 5 7 3 3 3 0 3 3 5 7 8 8 8 8 6 6 0 5 7 5 5 7 5 0 6 6 8 8 8 8 7 5 3 3 0 8 Example 4: Input: 9 9 8 8 8 8 4 3 9 0 3 7 5 3 3 5 7 3 0 9 3 4 8 8 8 8 9 9 7 4 9 0 8 8 8 8 3 4 0 9 7 3 3 7 7 3 3 7 9 0 4 3 8 8 8 8 0 9 4 7 4 7 8 8 8 8 9 3 4 3 5 3 0 0 0 0 3 5 3 4 3 9 8 8 8 8 7 4 3 7 7 4 8 8 8 8 3 9 3 4 1 1 1 0 0 8 7 3 4 3 9 3 8 8 8 8 4 7 7 3 3 3 4 7 0 1 1 7 5 3 1 1 1 9 9 9 4 0 3 5 7 3 9 0 7 4 3 3 5 5 3 3 7 4 9 1 1 3 3 7 1 1 1 9 9 9 0 4 7 3 3 7 9 9 4 7 3 3 5 5 5 5 7 3 4 7 5 3 0 8 1 1 1 4 4 0 4 0 8 0 3 5 7 4 3 7 5 5 3 3 5 5 3 7 7 4 3 7 0 0 1 1 1 0 0 4 0 4 0 0 7 3 4 7 7 3 5 5 3 3 9 3 3 7 5 3 0 0 8 8 1 1 1 8 8 8 6 8 8 8 0 0 3 5 7 3 3 9 3 4 3 9 7 3 3 7 0 0 8 8 1 1 1 8 8 8 8 6 8 8 0 0 7 3 3 7 9 3 4 3 4 3 5 3 0 0 9 3 0 0 8 8 8 6 6 8 8 8 0 0 3 9 0 0 3 5 3 1 1 1 3 4 3 7 8 0 3 8 0 0 8 8 6 8 8 6 8 8 0 0 8 3 0 8 7 3 4 1 1 1 5 3 0 4 0 4 7 8 7 5 0 0 8 8 8 8 0 0 5 7 8 7 4 0 4 0 3 5 7 3 3 7 4 0 4 0 8 7 5 7 0 0 8 8 8 8 0 0 7 5 7 8 0 4 0 4 7 3 3 7 0 8 9 9 0 4 7 5 7 8 8 3 0 0 0 0 3 8 8 7 5 7 4 0 9 9 8 0 3 5 0 0 9 9 4 0 5 7 8 7 3 9 0 0 0 0 9 3 7 8 7 5 0 4 9 9 0 0 7 3 0 0 9 9 4 0 5 7 8 7 3 9 0 0 0 0 9 3 7 8 7 5 0 4 9 9 0 0 7 3 0 8 9 9 0 4 7 5 7 8 8 3 0 0 0 0 3 8 8 7 5 7 4 0 9 9 8 0 3 5 3 7 4 0 4 0 8 7 5 7 0 0 8 8 8 8 0 0 7 5 7 8 0 4 0 4 7 3 3 7 5 3 0 4 0 4 7 8 7 5 0 0 8 8 8 8 0 0 5 7 8 7 4 0 4 0 3 5 7 3 3 4 3 7 8 0 3 8 0 0 8 8 6 8 8 6 8 8 0 0 8 3 0 8 7 3 4 3 9 0 4 3 5 3 0 0 9 3 0 0 8 8 8 6 6 8 8 8 0 0 3 9 0 0 3 5 3 4 0 9 3 9 7 3 3 7 0 0 8 8 6 8 8 8 8 8 8 6 8 8 0 0 7 3 3 7 9 3 4 3 9 3 3 7 5 3 0 0 8 8 8 6 8 8 8 8 6 8 8 8 0 0 3 5 7 3 3 9 3 4 5 5 3 7 7 4 3 7 0 0 4 0 4 0 0 4 0 4 0 0 7 3 4 7 7 3 5 5 3 3 5 5 7 3 4 7 5 3 0 8 0 4 0 4 4 0 4 0 8 0 3 5 7 4 3 7 5 5 3 3 3 3 7 4 9 9 7 3 3 7 4 0 9 9 9 9 0 4 7 3 3 7 9 9 4 7 3 3 5 5 3 3 4 7 0 9 3 7 5 3 0 4 9 9 9 9 4 0 3 5 7 3 9 0 7 4 3 3 5 5 7 4 8 8 8 8 3 9 3 4 3 7 8 0 0 8 7 3 4 3 9 3 8 8 8 8 4 7 7 3 4 7 8 8 8 8 9 3 4 3 5 3 0 0 0 0 3 5 3 4 3 9 8 8 8 8 7 4 3 7 Output: 9 9 8 8 8 8 4 3 9 0 3 7 5 3 3 5 7 3 0 9 3 4 8 8 8 8 9 9 7 4 9 0 8 8 8 8 3 4 0 9 7 3 3 7 7 3 3 7 9 0 4 3 8 8 8 8 0 9 4 7 4 7 8 8 8 8 9 3 4 3 5 3 0 0 0 0 3 5 3 4 3 9 8 8 8 8 7 4 3 7 7 4 8 8 8 8 3 9 3 4 3 7 8 0 0 8 7 3 4 3 9 3 8 8 8 8 4 7 7 3 3 3 4 7 0 9 3 7 5 3 0 4 9 9 9 9 4 0 3 5 7 3 9 0 7 4 3 3 5 5 3 3 7 4 9 9 7 3 3 7 4 0 9 9 9 9 0 4 7 3 3 7 9 9 4 7 3 3 5 5 5 5 7 3 4 7 5 3 0 8 0 4 0 4 4 0 4 0 8 0 3 5 7 4 3 7 5 5 3 3 5 5 3 7 7 4 3 7 0 0 4 0 4 0 0 4 0 4 0 0 7 3 4 7 7 3 5 5 3 3 9 3 3 7 5 3 0 0 8 8 8 6 8 8 8 8 6 8 8 8 0 0 3 5 7 3 3 9 3 4 3 9 7 3 3 7 0 0 8 8 6 8 8 8 8 8 8 6 8 8 0 0 7 3 3 7 9 3 4 3 4 3 5 3 0 0 9 3 0 0 8 8 8 6 6 8 8 8 0 0 3 9 0 0 3 5 3 4 0 9 3 4 3 7 8 0 3 8 0 0 8 8 6 8 8 6 8 8 0 0 8 3 0 8 7 3 4 3 9 0 5 3 0 4 0 4 7 8 7 5 0 0 8 8 8 8 0 0 5 7 8 7 4 0 4 0 3 5 7 3 3 7 4 0 4 0 8 7 5 7 0 0 8 8 8 8 0 0 7 5 7 8 0 4 0 4 7 3 3 7 0 8 9 9 0 4 7 5 7 8 8 3 0 0 0 0 3 8 8 7 5 7 4 0 9 9 8 0 3 5 0 0 9 9 4 0 5 7 8 7 3 9 0 0 0 0 9 3 7 8 7 5 0 4 9 9 0 0 7 3 0 0 9 9 4 0 5 7 8 7 3 9 0 0 0 0 9 3 7 8 7 5 0 4 9 9 0 0 7 3 0 8 9 9 0 4 7 5 7 8 8 3 0 0 0 0 3 8 8 7 5 7 4 0 9 9 8 0 3 5 3 7 4 0 4 0 8 7 5 7 0 0 8 8 8 8 0 0 7 5 7 8 0 4 0 4 7 3 3 7 5 3 0 4 0 4 7 8 7 5 0 0 8 8 8 8 0 0 5 7 8 7 4 0 4 0 3 5 7 3 3 4 3 7 8 0 3 8 0 0 8 8 6 8 8 6 8 8 0 0 8 3 0 8 7 3 4 3 9 0 4 3 5 3 0 0 9 3 0 0 8 8 8 6 6 8 8 8 0 0 3 9 0 0 3 5 3 4 0 9 3 9 7 3 3 7 0 0 8 8 6 8 8 8 8 8 8 6 8 8 0 0 7 3 3 7 9 3 4 3 9 3 3 7 5 3 0 0 8 8 8 6 8 8 8 8 6 8 8 8 0 0 3 5 7 3 3 9 3 4 5 5 3 7 7 4 3 7 0 0 4 0 4 0 0 4 0 4 0 0 7 3 4 7 7 3 5 5 3 3 5 5 7 3 4 7 5 3 0 8 0 4 0 4 4 0 4 0 8 0 3 5 7 4 3 7 5 5 3 3 3 3 7 4 9 9 7 3 3 7 4 0 9 9 9 9 0 4 7 3 3 7 9 9 4 7 3 3 5 5 3 3 4 7 0 9 3 7 5 3 0 4 9 9 9 9 4 0 3 5 7 3 9 0 7 4 3 3 5 5 7 4 8 8 8 8 3 9 3 4 3 7 8 0 0 8 7 3 4 3 9 3 8 8 8 8 4 7 7 3 4 7 8 8 8 8 9 3 4 3 5 3 0 0 0 0 3 5 3 4 3 9 8 8 8 8 7 4 3 7 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 8 8 9 5 6 4 5 9 4 7 3 1 1 1 1 1 1 1 7 4 9 5 4 6 5 9 8 8 8 6 8 8 5 9 4 6 5 5 7 4 6 1 1 1 1 1 1 1 4 7 5 5 6 4 9 5 8 8 6 6 6 8 6 4 9 5 8 7 5 9 6 1 1 1 1 1 1 1 9 5 7 8 5 9 4 6 8 6 8 8 6 6 4 6 5 9 7 8 5 5 7 1 1 1 1 1 1 1 5 5 8 7 9 5 6 4 6 6 7 8 9 3 6 8 8 8 3 6 6 7 8 1 1 1 1 1 1 1 7 6 6 3 8 8 8 6 3 9 9 8 3 9 6 6 8 8 6 3 7 0 0 1 1 1 1 1 1 1 0 7 3 6 8 8 6 6 9 3 8 9 8 9 7 8 6 8 6 7 4 4 3 1 1 1 1 1 1 1 4 4 7 6 8 6 8 7 9 8 3 9 9 8 8 8 6 6 7 0 8 4 9 1 1 1 1 1 1 1 4 8 0 7 6 6 8 8 8 9 9 3 8 7 3 6 6 7 3 0 0 3 8 8 7 3 3 7 8 8 3 0 0 3 7 6 6 3 7 8 5 5 7 8 6 3 7 0 0 3 3 4 8 8 3 7 7 3 8 8 4 3 3 0 0 7 3 6 8 7 5 9 5 5 6 7 4 8 6 0 3 0 7 3 8 8 8 8 3 7 0 3 0 6 8 4 7 6 5 5 7 4 9 5 7 0 4 4 0 6 0 3 3 7 8 8 8 8 7 1 1 1 6 0 4 4 0 7 5 9 4 7 6 7 8 0 3 9 6 8 8 5 3 0 4 3 3 4 0 1 1 1 8 6 9 3 0 8 7 6 6 3 7 0 7 8 9 3 8 6 5 8 0 3 3 0 0 3 3 1 1 1 6 8 3 9 8 7 0 7 3 6 4 4 8 6 8 0 8 5 6 8 6 0 3 0 0 3 0 6 8 6 5 8 0 8 6 8 4 4 7 6 8 4 6 8 7 8 5 8 8 6 0 6 0 3 3 0 6 0 6 8 8 5 8 7 8 6 4 8 0 7 1 1 1 1 1 1 5 8 8 6 0 6 0 3 3 0 6 0 6 8 8 5 8 7 8 6 4 8 0 7 1 1 1 1 1 1 8 5 6 8 6 0 3 0 0 3 0 6 8 6 5 8 0 8 6 8 4 4 7 6 1 1 1 1 1 1 8 6 5 8 0 3 3 0 0 3 3 0 8 5 6 8 3 9 8 7 0 7 3 6 1 1 1 1 1 1 6 8 8 5 3 0 4 3 3 4 0 3 5 8 8 6 9 3 0 8 7 6 6 3 1 1 1 1 1 1 0 6 0 3 3 7 8 8 8 8 7 3 3 0 6 0 4 4 0 7 5 9 4 7 1 1 1 1 1 1 6 0 3 0 7 3 8 8 8 8 3 7 0 3 0 6 8 4 7 6 5 5 7 4 1 1 1 1 1 1 0 3 3 4 8 8 3 7 7 3 8 8 4 3 3 0 0 7 3 6 8 7 5 9 8 7 3 6 6 7 3 0 0 3 8 8 7 3 3 7 8 8 3 0 0 3 7 6 6 3 7 8 5 5 9 8 8 8 6 6 7 0 8 4 9 3 0 8 8 0 3 9 4 8 0 7 6 6 8 8 8 9 9 3 8 9 7 8 6 8 6 7 4 4 3 9 8 7 7 8 9 3 4 4 7 6 8 6 8 7 9 8 3 9 3 9 6 6 8 8 6 3 7 0 0 8 6 8 8 6 8 0 0 7 3 6 8 8 6 6 9 3 8 9 9 3 6 8 8 8 3 6 6 7 8 7 8 6 6 8 7 8 7 6 6 3 8 8 8 6 3 9 9 8 6 6 4 6 5 9 7 8 5 5 7 0 4 4 4 4 0 7 5 5 8 7 9 5 6 4 6 6 7 8 6 8 6 4 9 5 8 7 5 9 6 7 4 8 8 4 7 6 9 5 7 8 5 9 4 6 8 6 8 8
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "8 8 9 5 6 4 5 9 4 7 3 6 6 7 7 6 6 3 7 4 9 5 4 6 5 9 8 8 8 6\n8 8 5 9 4 6 5 5 7 4 6 3 7 0 0 7 3 6 4 7 5 5 6 4 9 5 8 8 6 6\n6 8 6 4 9 5 8 7 5 9 6 7 4 8 8 4 7 6 9 5 7 8 5 9 4 6 8 6 8 8\n6 6 4 6 5 9 7 8 5 5 7 0 4 4 4 4 0 7 5 5 8 7 9 5 6 4 6 6 7 8\n9 3 6 8 8 8 3 6 6 7 8 7 8 6 6 8 7 8 7 6 6 3 8 8 8 6 3 9 9 8\n3 9 6 6 8 8 6 3 7 0 0 8 6 8 8 6 8 0 0 7 3 6 8 8 6 6 9 3 8 9\n8 9 7 8 6 8 6 7 4 4 3 9 8 7 7 8 9 3 4 4 7 6 8 6 8 7 9 8 3 9\n9 8 8 8 6 6 7 0 8 4 9 3 0 8 8 0 3 9 4 8 0 7 6 6 8 8 8 9 9 3\n8 7 3 6 6 7 3 0 0 3 8 8 7 3 3 7 8 8 3 0 0 3 7 6 6 3 7 8 5 5\n7 8 6 3 7 0 0 3 3 4 8 8 3 7 7 3 8 8 4 3 3 0 0 7 3 6 8 7 5 9\n5 5 6 7 4 8 6 0 3 0 7 3 8 8 8 8 3 7 0 3 0 6 8 4 7 6 5 5 7 4\n9 5 7 0 4 4 0 6 0 3 3 7 8 8 8 8 7 3 3 0 6 0 4 4 0 7 5 9 4 7\n6 7 8 0 3 9 6 8 8 5 3 0 4 3 3 4 0 3 5 8 8 6 9 3 0 8 7 6 6 3\n7 0 7 8 9 3 8 6 5 8 0 3 3 0 0 3 3 0 8 5 6 8 3 9 8 7 0 7 3 6\n4 4 8 6 8 0 8 5 6 8 6 0 3 0 0 3 0 6 8 6 5 8 0 8 6 8 4 4 7 6\n8 4 6 8 7 8 5 8 8 6 0 6 0 3 3 0 6 0 6 8 8 5 8 7 8 6 4 8 0 7\n8 4 6 8 7 8 5 8 8 6 0 6 0 3 3 0 6 0 6 8 8 5 8 7 8 6 4 8 0 7\n4 4 8 6 8 0 8 5 6 8 6 0 3 0 0 3 0 6 8 6 5 8 0 8 6 8 4 4 7 6\n7 0 7 8 9 3 8 6 5 8 0 3 3 0 0 3 3 0 8 5 6 8 3 9 8 7 0 7 3 6\n6 7 8 0 3 9 6 8 8 5 3 0 4 3 3 4 0 3 5 8 8 6 9 3 0 8 7 6 6 3\n9 5 7 0 4 4 0 6 0 3 3 7 8 8 8 8 7 3 3 0 6 0 4 4 0 7 5 9 4 7\n5 5 6 7 4 8 6 0 3 0 7 3 8 8 8 8 3 7 0 3 0 6 8 4 7 6 5 5 7 4\n7 8 6 3 7 0 0 3 3 4 8 8 3 7 7 3 8 8 4 3 3 0 0 7 3 6 8 7 5 9\n8 7 3 6 6 7 3 0 0 3 8 8 7 3 3 7 8 8 3 0 0 3 7 6 6 3 7 8 5 5\n9 8 8 8 6 6 7 0 8 4 9 3 0 8 8 0 3 9 4 8 0 7 6 6 8 8 8 9 9 3\n8 9 7 8 6 8 6 7 4 4 3 9 8 7 7 8 9 3 4 4 7 6 8 6 8 7 9 8 3 9\n3 9 6 6 8 8 6 3 7 0 0 8 6 8 8 6 8 0 0 7 3 6 8 8 6 6 9 3 8 9\n9 3 6 8 8 8 3 6 6 7 8 7 8 6 6 8 7 8 7 6 6 3 8 8 8 6 3 9 9 8\n6 6 4 6 5 9 7 8 5 5 7 0 4 4 4 4 0 7 5 5 8 7 9 5 6 4 6 6 7 8\n6 8 6 4 9 5 8 7 5 9 6 7 4 8 8 4 7 6 9 5 7 8 5 9 4 6 8 6 8 8", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n0 0 6 7 0 7 8 0 8 3 3 0 3 9 9 3 0 3 3 8 0 8 7 0 7 6 0 0 4 7\n0 5 7 6 7 0 0 8 3 8 3 3 9 9 9 9 3 3 8 3 8 0 0 7 6 7 5 0 7 7\n7 4 0 7 6 7 8 4 8 0 3 9 9 9 9 9 9 3 0 8 4 8 7 6 7 0 4 7 5 4\n7 7 7 0 7 6 4 8 0 8 9 9 9 9 9 9 9 9 8 0 8 4 6 7 0 7 7 7 0 5\n8 4 7 4 5 0 3 3 3 9 5 7 6 6 6 6 7 5 9 3 3 3 0 5 4 7 4 8 0 5\n4 8 7 7 0 0 0 3 9 9 7 5 6 6 6 6 5 7 9 9 3 0 0 0 7 7 8 4 5 0\n5 0 0 5 7 4 3 9 9 9 7 5 5 7 7 5 5 7 9 9 9 3 4 7 5 0 0 5 4 8\n0 5 5 4 7 7 9 9 9 1 1 1 1 5 5 7 7 5 9 9 9 9 7 7 4 5 5 0 8 4\n8 4 3 0 3 9 7 7 0 1 1 1 1 9 9 6 5 5 5 0 7 7 9 3 0 3 4 8 0 8\n4 8 3 3 9 9 8 7 5 1 1 1 1 6 6 9 5 5 9 5 7 8 9 9 3 3 8 4 8 0\n8 0 3 9 9 9 5 5 7 7 6 9 5 5 5 5 9 6 1 1 1 1 1 1 9 3 0 8 3 8\n0 8 9 9 9 9 5 5 8 7 9 6 5 5 5 5 6 9 1 1 1 1 1 1 9 9 8 0 8 3\n3 9 5 7 7 5 8 8 8 7 7 7 9 5 5 9 7 7 7 8 8 8 1 1 1 5 9 3 3 3\n9 9 7 5 5 7 8 8 7 8 8 7 5 0 0 5 7 8 8 7 8 8 1 1 1 7 9 9 3 0\n9 9 6 6 5 7 8 7 8 8 5 5 7 7 7 7 5 5 8 8 7 8 1 1 1 6 9 9 9 3\n9 9 6 6 7 5 7 8 8 8 5 5 8 7 7 8 5 5 8 8 8 7 1 1 1 6 9 9 9 9\n9 9 6 6 7 5 7 8 8 8 5 5 8 7 7 8 5 5 8 8 8 7 5 7 6 6 9 9 9 9\n9 9 6 6 5 7 8 7 8 8 5 5 7 7 7 7 5 5 8 8 7 8 7 5 6 6 9 9 9 3\n9 9 7 5 5 7 8 8 7 8 8 7 5 0 0 5 7 8 8 7 8 8 7 5 5 7 9 9 3 0\n3 9 5 7 7 5 8 8 8 7 7 7 9 5 5 9 7 7 7 8 8 8 5 7 7 5 9 3 3 3\n0 8 9 9 9 9 5 5 8 7 9 6 5 5 5 5 6 9 7 8 5 5 9 9 9 9 8 0 8 3\n8 0 3 9 9 9 5 5 7 7 6 9 5 5 5 5 9 6 7 7 5 5 9 9 9 3 0 8 3 8\n4 8 3 3 9 9 8 7 5 9 5 5 9 6 6 9 5 5 9 5 7 8 9 9 3 3 8 4 8 0\n8 4 3 0 3 9 7 7 0 5 5 5 6 9 9 6 5 5 5 0 7 7 9 3 0 3 4 8 0 8\n0 5 5 4 7 7 9 9 9 9 5 7 7 5 5 7 7 5 9 9 9 9 7 7 4 5 5 0 8 4\n5 0 0 5 7 4 3 9 9 9 7 5 5 7 7 5 5 7 9 9 9 3 4 7 5 0 0 5 4 8\n4 8 7 7 0 0 0 3 9 9 7 5 6 6 6 6 5 7 9 9 3 0 0 0 7 7 8 4 5 0\n8 4 7 4 5 0 3 3 3 9 5 7 6 6 6 6 7 5 9 3 3 3 0 5 4 7 4 8 0 5\n7 7 7 0 7 6 4 8 0 8 9 9 9 9 9 9 9 9 8 0 8 4 6 7 0 7 7 7 0 5\n7 4 0 7 6 7 8 4 8 0 3 9 9 9 9 9 9 3 0 8 4 8 7 6 7 0 4 7 5 4\nOutput:\n0 0 6 7 0 7 8 0 8 3 3 0 3 9 9 3 0 3 3 8 0 8 7 0 7 6 0 0 4 7\n0 5 7 6 7 0 0 8 3 8 3 3 9 9 9 9 3 3 8 3 8 0 0 7 6 7 5 0 7 7\n7 4 0 7 6 7 8 4 8 0 3 9 9 9 9 9 9 3 0 8 4 8 7 6 7 0 4 7 5 4\n7 7 7 0 7 6 4 8 0 8 9 9 9 9 9 9 9 9 8 0 8 4 6 7 0 7 7 7 0 5\n8 4 7 4 5 0 3 3 3 9 5 7 6 6 6 6 7 5 9 3 3 3 0 5 4 7 4 8 0 5\n4 8 7 7 0 0 0 3 9 9 7 5 6 6 6 6 5 7 9 9 3 0 0 0 7 7 8 4 5 0\n5 0 0 5 7 4 3 9 9 9 7 5 5 7 7 5 5 7 9 9 9 3 4 7 5 0 0 5 4 8\n0 5 5 4 7 7 9 9 9 9 5 7 7 5 5 7 7 5 9 9 9 9 7 7 4 5 5 0 8 4\n8 4 3 0 3 9 7 7 0 5 5 5 6 9 9 6 5 5 5 0 7 7 9 3 0 3 4 8 0 8\n4 8 3 3 9 9 8 7 5 9 5 5 9 6 6 9 5 5 9 5 7 8 9 9 3 3 8 4 8 0\n8 0 3 9 9 9 5 5 7 7 6 9 5 5 5 5 9 6 7 7 5 5 9 9 9 3 0 8 3 8\n0 8 9 9 9 9 5 5 8 7 9 6 5 5 5 5 6 9 7 8 5 5 9 9 9 9 8 0 8 3\n3 9 5 7 7 5 8 8 8 7 7 7 9 5 5 9 7 7 7 8 8 8 5 7 7 5 9 3 3 3\n9 9 7 5 5 7 8 8 7 8 8 7 5 0 0 5 7 8 8 7 8 8 7 5 5 7 9 9 3 0\n9 9 6 6 5 7 8 7 8 8 5 5 7 7 7 7 5 5 8 8 7 8 7 5 6 6 9 9 9 3\n9 9 6 6 7 5 7 8 8 8 5 5 8 7 7 8 5 5 8 8 8 7 5 7 6 6 9 9 9 9\n9 9 6 6 7 5 7 8 8 8 5 5 8 7 7 8 5 5 8 8 8 7 5 7 6 6 9 9 9 9\n9 9 6 6 5 7 8 7 8 8 5 5 7 7 7 7 5 5 8 8 7 8 7 5 6 6 9 9 9 3\n9 9 7 5 5 7 8 8 7 8 8 7 5 0 0 5 7 8 8 7 8 8 7 5 5 7 9 9 3 0\n3 9 5 7 7 5 8 8 8 7 7 7 9 5 5 9 7 7 7 8 8 8 5 7 7 5 9 3 3 3\n0 8 9 9 9 9 5 5 8 7 9 6 5 5 5 5 6 9 7 8 5 5 9 9 9 9 8 0 8 3\n8 0 3 9 9 9 5 5 7 7 6 9 5 5 5 5 9 6 7 7 5 5 9 9 9 3 0 8 3 8\n4 8 3 3 9 9 8 7 5 9 5 5 9 6 6 9 5 5 9 5 7 8 9 9 3 3 8 4 8 0\n8 4 3 0 3 9 7 7 0 5 5 5 6 9 9 6 5 5 5 0 7 7 9 3 0 3 4 8 0 8\n0 5 5 4 7 7 9 9 9 9 5 7 7 5 5 7 7 5 9 9 9 9 7 7 4 5 5 0 8 4\n5 0 0 5 7 4 3 9 9 9 7 5 5 7 7 5 5 7 9 9 9 3 4 7 5 0 0 5 4 8\n4 8 7 7 0 0 0 3 9 9 7 5 6 6 6 6 5 7 9 9 3 0 0 0 7 7 8 4 5 0\n8 4 7 4 5 0 3 3 3 9 5 7 6 6 6 6 7 5 9 3 3 3 0 5 4 7 4 8 0 5\n7 7 7 0 7 6 4 8 0 8 9 9 9 9 9 9 9 9 8 0 8 4 6 7 0 7 7 7 0 5\n7 4 0 7 6 7 8 4 8 0 3 9 9 9 9 9 9 3 0 8 4 8 7 6 7 0 4 7 5 4\n\nExample 2:\n\nInput:\n5 8 6 5 5 6 4 4 4 5 7 6 7 6 6 7 6 7 5 4 4 4 6 5 5 6 8 5 0 3\n8 5 5 6 6 5 4 4 5 4 7 7 6 7 7 6 7 7 4 5 4 4 5 6 6 5 5 8 3 0\n3 0 5 6 6 5 9 9 4 4 7 6 4 4 4 4 6 7 4 4 9 9 5 6 6 5 0 3 6 4\n0 3 6 5 5 6 9 9 4 4 6 7 4 4 4 4 7 6 1 1 1 1 6 5 5 6 3 0 4 6\n8 8 3 0 5 8 7 7 7 6 4 7 9 8 8 9 7 4 1 1 1 1 8 5 1 1 1 1 1 7\n8 8 0 3 8 5 6 7 6 7 4 4 8 9 9 8 4 4 1 1 1 1 1 1 1 1 1 1 1 7\n7 7 4 6 3 0 7 6 4 4 0 0 4 7 7 4 0 0 1 1 1 1 1 1 1 1 1 7 8 8\n7 7 6 4 0 3 6 7 4 4 0 0 4 4 4 4 0 0 1 1 1 1 1 1 1 1 1 7 8 8\n9 9 7 6 7 6 6 7 3 3 8 8 8 0 0 8 8 8 3 3 7 1 1 1 1 1 1 9 4 4\n9 9 7 7 6 7 5 6 3 3 8 8 0 8 8 0 8 8 3 3 6 1 1 1 1 1 1 9 4 4\n4 4 7 6 4 4 8 7 6 7 8 0 8 8 8 8 0 8 7 6 7 8 4 4 6 7 4 4 5 4\n4 4 6 7 4 4 7 8 5 6 0 8 8 8 8 8 8 0 6 5 8 7 4 4 7 6 4 4 4 5\n7 6 4 4 0 0 9 6 7 7 6 7 3 3 3 3 7 6 7 7 6 9 0 0 4 4 6 7 7 7\n6 7 7 4 0 0 6 9 7 7 5 6 3 3 3 3 6 5 7 7 9 6 0 0 4 7 7 6 7 6\n4 4 9 8 4 4 7 7 9 6 8 7 6 7 7 6 7 8 6 9 7 7 4 4 8 9 4 4 6 7\n4 4 8 9 7 4 7 7 6 9 7 8 5 6 6 5 8 7 9 6 7 7 4 7 9 8 4 4 7 6\n4 4 8 9 7 4 7 7 6 9 7 8 5 6 6 5 8 7 9 6 7 7 4 7 9 8 4 4 7 6\n4 4 9 8 4 4 7 7 9 6 8 7 6 7 7 6 7 8 6 9 7 7 4 4 8 9 4 4 6 7\n6 7 7 4 0 0 6 9 7 7 5 6 3 3 3 3 6 5 7 7 9 6 0 0 4 7 7 6 7 6\n7 6 4 4 0 0 9 6 7 7 6 7 3 3 3 3 7 6 7 7 6 9 0 0 4 4 6 7 7 7\n4 4 6 7 4 4 7 8 5 6 0 8 8 8 8 8 8 0 6 5 8 7 4 4 7 6 4 4 4 5\n4 4 7 6 4 4 8 7 6 7 8 0 8 8 8 8 0 8 7 6 7 8 4 4 6 7 4 4 5 4\n9 9 7 7 6 7 5 6 3 3 8 8 0 8 8 0 8 8 3 3 6 5 7 6 7 7 9 9 4 4\n9 9 7 6 7 6 6 7 3 3 8 8 8 0 0 8 8 8 3 3 7 6 6 7 6 7 9 9 4 4\n7 7 6 4 0 3 6 7 4 4 0 0 4 4 4 4 0 0 4 4 7 6 3 0 4 6 7 7 8 8\n7 7 4 6 3 0 7 6 4 4 0 0 4 7 1 1 1 1 1 1 6 7 0 3 6 4 7 7 8 8\n8 8 0 3 8 5 6 7 6 7 4 4 8 9 1 1 1 1 1 1 7 6 5 8 3 0 8 8 7 7\n8 8 3 0 5 8 7 7 7 6 4 7 9 8 1 1 1 1 1 1 7 7 8 5 0 3 8 8 7 7\n0 3 6 5 5 6 9 9 4 4 6 7 4 4 4 4 7 6 4 4 9 9 6 5 5 6 3 0 4 6\n3 0 5 6 6 5 9 9 4 4 7 6 4 4 4 4 6 7 4 4 9 9 5 6 6 5 0 3 6 4\nOutput:\n5 8 6 5 5 6 4 4 4 5 7 6 7 6 6 7 6 7 5 4 4 4 6 5 5 6 8 5 0 3\n8 5 5 6 6 5 4 4 5 4 7 7 6 7 7 6 7 7 4 5 4 4 5 6 6 5 5 8 3 0\n3 0 5 6 6 5 9 9 4 4 7 6 4 4 4 4 6 7 4 4 9 9 5 6 6 5 0 3 6 4\n0 3 6 5 5 6 9 9 4 4 6 7 4 4 4 4 7 6 4 4 9 9 6 5 5 6 3 0 4 6\n8 8 3 0 5 8 7 7 7 6 4 7 9 8 8 9 7 4 6 7 7 7 8 5 0 3 8 8 7 7\n8 8 0 3 8 5 6 7 6 7 4 4 8 9 9 8 4 4 7 6 7 6 5 8 3 0 8 8 7 7\n7 7 4 6 3 0 7 6 4 4 0 0 4 7 7 4 0 0 4 4 6 7 0 3 6 4 7 7 8 8\n7 7 6 4 0 3 6 7 4 4 0 0 4 4 4 4 0 0 4 4 7 6 3 0 4 6 7 7 8 8\n9 9 7 6 7 6 6 7 3 3 8 8 8 0 0 8 8 8 3 3 7 6 6 7 6 7 9 9 4 4\n9 9 7 7 6 7 5 6 3 3 8 8 0 8 8 0 8 8 3 3 6 5 7 6 7 7 9 9 4 4\n4 4 7 6 4 4 8 7 6 7 8 0 8 8 8 8 0 8 7 6 7 8 4 4 6 7 4 4 5 4\n4 4 6 7 4 4 7 8 5 6 0 8 8 8 8 8 8 0 6 5 8 7 4 4 7 6 4 4 4 5\n7 6 4 4 0 0 9 6 7 7 6 7 3 3 3 3 7 6 7 7 6 9 0 0 4 4 6 7 7 7\n6 7 7 4 0 0 6 9 7 7 5 6 3 3 3 3 6 5 7 7 9 6 0 0 4 7 7 6 7 6\n4 4 9 8 4 4 7 7 9 6 8 7 6 7 7 6 7 8 6 9 7 7 4 4 8 9 4 4 6 7\n4 4 8 9 7 4 7 7 6 9 7 8 5 6 6 5 8 7 9 6 7 7 4 7 9 8 4 4 7 6\n4 4 8 9 7 4 7 7 6 9 7 8 5 6 6 5 8 7 9 6 7 7 4 7 9 8 4 4 7 6\n4 4 9 8 4 4 7 7 9 6 8 7 6 7 7 6 7 8 6 9 7 7 4 4 8 9 4 4 6 7\n6 7 7 4 0 0 6 9 7 7 5 6 3 3 3 3 6 5 7 7 9 6 0 0 4 7 7 6 7 6\n7 6 4 4 0 0 9 6 7 7 6 7 3 3 3 3 7 6 7 7 6 9 0 0 4 4 6 7 7 7\n4 4 6 7 4 4 7 8 5 6 0 8 8 8 8 8 8 0 6 5 8 7 4 4 7 6 4 4 4 5\n4 4 7 6 4 4 8 7 6 7 8 0 8 8 8 8 0 8 7 6 7 8 4 4 6 7 4 4 5 4\n9 9 7 7 6 7 5 6 3 3 8 8 0 8 8 0 8 8 3 3 6 5 7 6 7 7 9 9 4 4\n9 9 7 6 7 6 6 7 3 3 8 8 8 0 0 8 8 8 3 3 7 6 6 7 6 7 9 9 4 4\n7 7 6 4 0 3 6 7 4 4 0 0 4 4 4 4 0 0 4 4 7 6 3 0 4 6 7 7 8 8\n7 7 4 6 3 0 7 6 4 4 0 0 4 7 7 4 0 0 4 4 6 7 0 3 6 4 7 7 8 8\n8 8 0 3 8 5 6 7 6 7 4 4 8 9 9 8 4 4 7 6 7 6 5 8 3 0 8 8 7 7\n8 8 3 0 5 8 7 7 7 6 4 7 9 8 8 9 7 4 6 7 7 7 8 5 0 3 8 8 7 7\n0 3 6 5 5 6 9 9 4 4 6 7 4 4 4 4 7 6 4 4 9 9 6 5 5 6 3 0 4 6\n3 0 5 6 6 5 9 9 4 4 7 6 4 4 4 4 6 7 4 4 9 9 5 6 6 5 0 3 6 4\n\nExample 3:\n\nInput:\n8 0 8 8 5 7 6 6 7 7 3 3 0 5 5 0 3 3 7 7 6 6 7 5 8 8 0 8 3 3\n0 7 8 8 7 5 7 6 7 7 4 3 5 0 0 5 3 4 7 7 6 7 5 7 8 8 7 0 3 3\n3 3 5 7 8 8 8 8 6 6 0 5 7 5 5 7 5 0 6 6 8 8 8 8 7 5 3 3 0 8\n3 3 7 5 8 8 8 8 7 6 5 0 3 7 7 3 0 5 6 7 8 8 8 8 5 7 3 3 3 0\n1 1 1 1 7 0 3 4 0 5 4 4 9 9 9 9 4 4 5 0 4 3 0 7 3 3 8 8 5 9\n1 1 1 1 0 8 3 3 5 0 4 4 9 9 9 9 4 4 0 5 3 3 8 0 3 3 8 8 9 5\n1 1 1 1 3 3 0 5 7 3 7 7 4 4 4 4 7 7 3 7 5 0 3 3 0 3 5 9 8 8\n1 1 1 1 3 3 5 0 5 7 7 7 4 4 4 4 7 7 7 5 0 5 3 3 8 0 9 5 8 8\n1 1 1 1 0 5 4 5 7 9 9 9 9 5 5 9 9 9 9 7 5 4 5 0 3 3 8 8 7 6\n1 1 1 1 5 0 8 4 9 9 9 9 5 9 9 5 9 9 9 9 4 8 0 5 3 4 8 8 6 6\n1 1 1 1 1 1 4 3 4 5 9 5 9 9 9 9 5 9 5 4 3 4 5 7 5 0 7 6 7 7\n1 1 1 1 1 1 3 3 8 4 5 9 9 9 9 9 9 5 4 8 3 3 7 3 0 5 6 6 7 7\n0 5 4 4 7 7 1 1 1 1 1 5 9 9 9 9 5 4 6 9 9 8 7 7 4 4 5 0 4 3\n5 0 4 4 7 7 1 1 1 1 1 4 9 7 7 9 4 8 9 6 8 9 7 7 4 4 0 5 3 3\n7 3 9 9 4 4 1 1 1 1 1 3 4 5 5 4 3 3 9 8 6 9 4 4 9 9 3 7 5 0\n5 7 9 9 4 4 6 9 9 8 3 4 8 4 4 8 4 3 8 9 9 6 4 4 9 9 7 5 0 5\n5 7 9 9 4 4 6 9 9 8 3 4 8 4 4 8 4 3 8 9 9 6 4 4 9 9 7 5 0 5\n7 3 9 9 4 4 9 6 8 9 3 3 4 5 5 4 3 3 9 8 6 9 4 4 9 9 3 7 5 0\n5 0 4 4 7 7 9 8 6 9 8 4 9 7 7 9 4 8 9 6 8 9 7 7 4 4 0 5 3 3\n0 5 4 4 7 7 8 9 9 6 4 5 9 9 9 9 5 4 6 9 9 8 7 7 4 4 5 0 4 3\n6 6 5 0 3 7 3 3 8 4 5 9 9 9 9 9 9 5 4 8 3 3 7 3 0 5 6 6 7 7\n6 7 0 5 7 5 4 3 4 5 9 5 9 9 9 9 5 9 5 4 3 4 5 7 5 0 7 6 7 7\n8 8 4 3 5 0 8 4 9 9 9 9 5 9 9 5 9 9 9 9 4 8 0 5 3 4 8 8 6 6\n8 8 3 3 0 5 4 5 7 9 9 9 9 5 5 9 9 9 9 7 5 4 5 0 3 3 8 8 7 6\n5 9 0 8 3 3 5 0 5 7 7 7 4 4 4 4 7 7 7 5 0 5 3 3 8 0 9 5 8 8\n9 5 3 0 3 3 0 5 7 3 7 7 4 4 4 4 7 7 3 7 5 0 3 3 0 3 5 9 8 8\n8 8 3 3 0 8 3 3 5 0 4 4 9 9 9 9 4 4 0 5 3 3 8 0 3 3 8 8 9 5\n8 8 3 3 7 0 3 4 0 5 4 4 9 9 9 9 4 4 5 0 4 3 0 7 3 3 8 8 5 9\n3 3 7 5 8 8 8 8 7 6 5 0 3 7 7 3 0 5 6 7 8 8 8 8 5 7 3 3 3 0\n3 3 5 7 8 8 8 8 6 6 0 5 7 5 5 7 5 0 6 6 8 8 8 8 7 5 3 3 0 8\nOutput:\n8 0 8 8 5 7 6 6 7 7 3 3 0 5 5 0 3 3 7 7 6 6 7 5 8 8 0 8 3 3\n0 7 8 8 7 5 7 6 7 7 4 3 5 0 0 5 3 4 7 7 6 7 5 7 8 8 7 0 3 3\n3 3 5 7 8 8 8 8 6 6 0 5 7 5 5 7 5 0 6 6 8 8 8 8 7 5 3 3 0 8\n3 3 7 5 8 8 8 8 7 6 5 0 3 7 7 3 0 5 6 7 8 8 8 8 5 7 3 3 3 0\n8 8 3 3 7 0 3 4 0 5 4 4 9 9 9 9 4 4 5 0 4 3 0 7 3 3 8 8 5 9\n8 8 3 3 0 8 3 3 5 0 4 4 9 9 9 9 4 4 0 5 3 3 8 0 3 3 8 8 9 5\n9 5 3 0 3 3 0 5 7 3 7 7 4 4 4 4 7 7 3 7 5 0 3 3 0 3 5 9 8 8\n5 9 0 8 3 3 5 0 5 7 7 7 4 4 4 4 7 7 7 5 0 5 3 3 8 0 9 5 8 8\n8 8 3 3 0 5 4 5 7 9 9 9 9 5 5 9 9 9 9 7 5 4 5 0 3 3 8 8 7 6\n8 8 4 3 5 0 8 4 9 9 9 9 5 9 9 5 9 9 9 9 4 8 0 5 3 4 8 8 6 6\n6 7 0 5 7 5 4 3 4 5 9 5 9 9 9 9 5 9 5 4 3 4 5 7 5 0 7 6 7 7\n6 6 5 0 3 7 3 3 8 4 5 9 9 9 9 9 9 5 4 8 3 3 7 3 0 5 6 6 7 7\n0 5 4 4 7 7 8 9 9 6 4 5 9 9 9 9 5 4 6 9 9 8 7 7 4 4 5 0 4 3\n5 0 4 4 7 7 9 8 6 9 8 4 9 7 7 9 4 8 9 6 8 9 7 7 4 4 0 5 3 3\n7 3 9 9 4 4 9 6 8 9 3 3 4 5 5 4 3 3 9 8 6 9 4 4 9 9 3 7 5 0\n5 7 9 9 4 4 6 9 9 8 3 4 8 4 4 8 4 3 8 9 9 6 4 4 9 9 7 5 0 5\n5 7 9 9 4 4 6 9 9 8 3 4 8 4 4 8 4 3 8 9 9 6 4 4 9 9 7 5 0 5\n7 3 9 9 4 4 9 6 8 9 3 3 4 5 5 4 3 3 9 8 6 9 4 4 9 9 3 7 5 0\n5 0 4 4 7 7 9 8 6 9 8 4 9 7 7 9 4 8 9 6 8 9 7 7 4 4 0 5 3 3\n0 5 4 4 7 7 8 9 9 6 4 5 9 9 9 9 5 4 6 9 9 8 7 7 4 4 5 0 4 3\n6 6 5 0 3 7 3 3 8 4 5 9 9 9 9 9 9 5 4 8 3 3 7 3 0 5 6 6 7 7\n6 7 0 5 7 5 4 3 4 5 9 5 9 9 9 9 5 9 5 4 3 4 5 7 5 0 7 6 7 7\n8 8 4 3 5 0 8 4 9 9 9 9 5 9 9 5 9 9 9 9 4 8 0 5 3 4 8 8 6 6\n8 8 3 3 0 5 4 5 7 9 9 9 9 5 5 9 9 9 9 7 5 4 5 0 3 3 8 8 7 6\n5 9 0 8 3 3 5 0 5 7 7 7 4 4 4 4 7 7 7 5 0 5 3 3 8 0 9 5 8 8\n9 5 3 0 3 3 0 5 7 3 7 7 4 4 4 4 7 7 3 7 5 0 3 3 0 3 5 9 8 8\n8 8 3 3 0 8 3 3 5 0 4 4 9 9 9 9 4 4 0 5 3 3 8 0 3 3 8 8 9 5\n8 8 3 3 7 0 3 4 0 5 4 4 9 9 9 9 4 4 5 0 4 3 0 7 3 3 8 8 5 9\n3 3 7 5 8 8 8 8 7 6 5 0 3 7 7 3 0 5 6 7 8 8 8 8 5 7 3 3 3 0\n3 3 5 7 8 8 8 8 6 6 0 5 7 5 5 7 5 0 6 6 8 8 8 8 7 5 3 3 0 8\n\nExample 4:\n\nInput:\n9 9 8 8 8 8 4 3 9 0 3 7 5 3 3 5 7 3 0 9 3 4 8 8 8 8 9 9 7 4\n9 0 8 8 8 8 3 4 0 9 7 3 3 7 7 3 3 7 9 0 4 3 8 8 8 8 0 9 4 7\n4 7 8 8 8 8 9 3 4 3 5 3 0 0 0 0 3 5 3 4 3 9 8 8 8 8 7 4 3 7\n7 4 8 8 8 8 3 9 3 4 1 1 1 0 0 8 7 3 4 3 9 3 8 8 8 8 4 7 7 3\n3 3 4 7 0 1 1 7 5 3 1 1 1 9 9 9 4 0 3 5 7 3 9 0 7 4 3 3 5 5\n3 3 7 4 9 1 1 3 3 7 1 1 1 9 9 9 0 4 7 3 3 7 9 9 4 7 3 3 5 5\n5 5 7 3 4 7 5 3 0 8 1 1 1 4 4 0 4 0 8 0 3 5 7 4 3 7 5 5 3 3\n5 5 3 7 7 4 3 7 0 0 1 1 1 0 0 4 0 4 0 0 7 3 4 7 7 3 5 5 3 3\n9 3 3 7 5 3 0 0 8 8 1 1 1 8 8 8 6 8 8 8 0 0 3 5 7 3 3 9 3 4\n3 9 7 3 3 7 0 0 8 8 1 1 1 8 8 8 8 6 8 8 0 0 7 3 3 7 9 3 4 3\n4 3 5 3 0 0 9 3 0 0 8 8 8 6 6 8 8 8 0 0 3 9 0 0 3 5 3 1 1 1\n3 4 3 7 8 0 3 8 0 0 8 8 6 8 8 6 8 8 0 0 8 3 0 8 7 3 4 1 1 1\n5 3 0 4 0 4 7 8 7 5 0 0 8 8 8 8 0 0 5 7 8 7 4 0 4 0 3 5 7 3\n3 7 4 0 4 0 8 7 5 7 0 0 8 8 8 8 0 0 7 5 7 8 0 4 0 4 7 3 3 7\n0 8 9 9 0 4 7 5 7 8 8 3 0 0 0 0 3 8 8 7 5 7 4 0 9 9 8 0 3 5\n0 0 9 9 4 0 5 7 8 7 3 9 0 0 0 0 9 3 7 8 7 5 0 4 9 9 0 0 7 3\n0 0 9 9 4 0 5 7 8 7 3 9 0 0 0 0 9 3 7 8 7 5 0 4 9 9 0 0 7 3\n0 8 9 9 0 4 7 5 7 8 8 3 0 0 0 0 3 8 8 7 5 7 4 0 9 9 8 0 3 5\n3 7 4 0 4 0 8 7 5 7 0 0 8 8 8 8 0 0 7 5 7 8 0 4 0 4 7 3 3 7\n5 3 0 4 0 4 7 8 7 5 0 0 8 8 8 8 0 0 5 7 8 7 4 0 4 0 3 5 7 3\n3 4 3 7 8 0 3 8 0 0 8 8 6 8 8 6 8 8 0 0 8 3 0 8 7 3 4 3 9 0\n4 3 5 3 0 0 9 3 0 0 8 8 8 6 6 8 8 8 0 0 3 9 0 0 3 5 3 4 0 9\n3 9 7 3 3 7 0 0 8 8 6 8 8 8 8 8 8 6 8 8 0 0 7 3 3 7 9 3 4 3\n9 3 3 7 5 3 0 0 8 8 8 6 8 8 8 8 6 8 8 8 0 0 3 5 7 3 3 9 3 4\n5 5 3 7 7 4 3 7 0 0 4 0 4 0 0 4 0 4 0 0 7 3 4 7 7 3 5 5 3 3\n5 5 7 3 4 7 5 3 0 8 0 4 0 4 4 0 4 0 8 0 3 5 7 4 3 7 5 5 3 3\n3 3 7 4 9 9 7 3 3 7 4 0 9 9 9 9 0 4 7 3 3 7 9 9 4 7 3 3 5 5\n3 3 4 7 0 9 3 7 5 3 0 4 9 9 9 9 4 0 3 5 7 3 9 0 7 4 3 3 5 5\n7 4 8 8 8 8 3 9 3 4 3 7 8 0 0 8 7 3 4 3 9 3 8 8 8 8 4 7 7 3\n4 7 8 8 8 8 9 3 4 3 5 3 0 0 0 0 3 5 3 4 3 9 8 8 8 8 7 4 3 7\nOutput:\n9 9 8 8 8 8 4 3 9 0 3 7 5 3 3 5 7 3 0 9 3 4 8 8 8 8 9 9 7 4\n9 0 8 8 8 8 3 4 0 9 7 3 3 7 7 3 3 7 9 0 4 3 8 8 8 8 0 9 4 7\n4 7 8 8 8 8 9 3 4 3 5 3 0 0 0 0 3 5 3 4 3 9 8 8 8 8 7 4 3 7\n7 4 8 8 8 8 3 9 3 4 3 7 8 0 0 8 7 3 4 3 9 3 8 8 8 8 4 7 7 3\n3 3 4 7 0 9 3 7 5 3 0 4 9 9 9 9 4 0 3 5 7 3 9 0 7 4 3 3 5 5\n3 3 7 4 9 9 7 3 3 7 4 0 9 9 9 9 0 4 7 3 3 7 9 9 4 7 3 3 5 5\n5 5 7 3 4 7 5 3 0 8 0 4 0 4 4 0 4 0 8 0 3 5 7 4 3 7 5 5 3 3\n5 5 3 7 7 4 3 7 0 0 4 0 4 0 0 4 0 4 0 0 7 3 4 7 7 3 5 5 3 3\n9 3 3 7 5 3 0 0 8 8 8 6 8 8 8 8 6 8 8 8 0 0 3 5 7 3 3 9 3 4\n3 9 7 3 3 7 0 0 8 8 6 8 8 8 8 8 8 6 8 8 0 0 7 3 3 7 9 3 4 3\n4 3 5 3 0 0 9 3 0 0 8 8 8 6 6 8 8 8 0 0 3 9 0 0 3 5 3 4 0 9\n3 4 3 7 8 0 3 8 0 0 8 8 6 8 8 6 8 8 0 0 8 3 0 8 7 3 4 3 9 0\n5 3 0 4 0 4 7 8 7 5 0 0 8 8 8 8 0 0 5 7 8 7 4 0 4 0 3 5 7 3\n3 7 4 0 4 0 8 7 5 7 0 0 8 8 8 8 0 0 7 5 7 8 0 4 0 4 7 3 3 7\n0 8 9 9 0 4 7 5 7 8 8 3 0 0 0 0 3 8 8 7 5 7 4 0 9 9 8 0 3 5\n0 0 9 9 4 0 5 7 8 7 3 9 0 0 0 0 9 3 7 8 7 5 0 4 9 9 0 0 7 3\n0 0 9 9 4 0 5 7 8 7 3 9 0 0 0 0 9 3 7 8 7 5 0 4 9 9 0 0 7 3\n0 8 9 9 0 4 7 5 7 8 8 3 0 0 0 0 3 8 8 7 5 7 4 0 9 9 8 0 3 5\n3 7 4 0 4 0 8 7 5 7 0 0 8 8 8 8 0 0 7 5 7 8 0 4 0 4 7 3 3 7\n5 3 0 4 0 4 7 8 7 5 0 0 8 8 8 8 0 0 5 7 8 7 4 0 4 0 3 5 7 3\n3 4 3 7 8 0 3 8 0 0 8 8 6 8 8 6 8 8 0 0 8 3 0 8 7 3 4 3 9 0\n4 3 5 3 0 0 9 3 0 0 8 8 8 6 6 8 8 8 0 0 3 9 0 0 3 5 3 4 0 9\n3 9 7 3 3 7 0 0 8 8 6 8 8 8 8 8 8 6 8 8 0 0 7 3 3 7 9 3 4 3\n9 3 3 7 5 3 0 0 8 8 8 6 8 8 8 8 6 8 8 8 0 0 3 5 7 3 3 9 3 4\n5 5 3 7 7 4 3 7 0 0 4 0 4 0 0 4 0 4 0 0 7 3 4 7 7 3 5 5 3 3\n5 5 7 3 4 7 5 3 0 8 0 4 0 4 4 0 4 0 8 0 3 5 7 4 3 7 5 5 3 3\n3 3 7 4 9 9 7 3 3 7 4 0 9 9 9 9 0 4 7 3 3 7 9 9 4 7 3 3 5 5\n3 3 4 7 0 9 3 7 5 3 0 4 9 9 9 9 4 0 3 5 7 3 9 0 7 4 3 3 5 5\n7 4 8 8 8 8 3 9 3 4 3 7 8 0 0 8 7 3 4 3 9 3 8 8 8 8 4 7 7 3\n4 7 8 8 8 8 9 3 4 3 5 3 0 0 0 0 3 5 3 4 3 9 8 8 8 8 7 4 3 7\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n8 8 9 5 6 4 5 9 4 7 3 1 1 1 1 1 1 1 7 4 9 5 4 6 5 9 8 8 8 6\n8 8 5 9 4 6 5 5 7 4 6 1 1 1 1 1 1 1 4 7 5 5 6 4 9 5 8 8 6 6\n6 8 6 4 9 5 8 7 5 9 6 1 1 1 1 1 1 1 9 5 7 8 5 9 4 6 8 6 8 8\n6 6 4 6 5 9 7 8 5 5 7 1 1 1 1 1 1 1 5 5 8 7 9 5 6 4 6 6 7 8\n9 3 6 8 8 8 3 6 6 7 8 1 1 1 1 1 1 1 7 6 6 3 8 8 8 6 3 9 9 8\n3 9 6 6 8 8 6 3 7 0 0 1 1 1 1 1 1 1 0 7 3 6 8 8 6 6 9 3 8 9\n8 9 7 8 6 8 6 7 4 4 3 1 1 1 1 1 1 1 4 4 7 6 8 6 8 7 9 8 3 9\n9 8 8 8 6 6 7 0 8 4 9 1 1 1 1 1 1 1 4 8 0 7 6 6 8 8 8 9 9 3\n8 7 3 6 6 7 3 0 0 3 8 8 7 3 3 7 8 8 3 0 0 3 7 6 6 3 7 8 5 5\n7 8 6 3 7 0 0 3 3 4 8 8 3 7 7 3 8 8 4 3 3 0 0 7 3 6 8 7 5 9\n5 5 6 7 4 8 6 0 3 0 7 3 8 8 8 8 3 7 0 3 0 6 8 4 7 6 5 5 7 4\n9 5 7 0 4 4 0 6 0 3 3 7 8 8 8 8 7 1 1 1 6 0 4 4 0 7 5 9 4 7\n6 7 8 0 3 9 6 8 8 5 3 0 4 3 3 4 0 1 1 1 8 6 9 3 0 8 7 6 6 3\n7 0 7 8 9 3 8 6 5 8 0 3 3 0 0 3 3 1 1 1 6 8 3 9 8 7 0 7 3 6\n4 4 8 6 8 0 8 5 6 8 6 0 3 0 0 3 0 6 8 6 5 8 0 8 6 8 4 4 7 6\n8 4 6 8 7 8 5 8 8 6 0 6 0 3 3 0 6 0 6 8 8 5 8 7 8 6 4 8 0 7\n1 1 1 1 1 1 5 8 8 6 0 6 0 3 3 0 6 0 6 8 8 5 8 7 8 6 4 8 0 7\n1 1 1 1 1 1 8 5 6 8 6 0 3 0 0 3 0 6 8 6 5 8 0 8 6 8 4 4 7 6\n1 1 1 1 1 1 8 6 5 8 0 3 3 0 0 3 3 0 8 5 6 8 3 9 8 7 0 7 3 6\n1 1 1 1 1 1 6 8 8 5 3 0 4 3 3 4 0 3 5 8 8 6 9 3 0 8 7 6 6 3\n1 1 1 1 1 1 0 6 0 3 3 7 8 8 8 8 7 3 3 0 6 0 4 4 0 7 5 9 4 7\n1 1 1 1 1 1 6 0 3 0 7 3 8 8 8 8 3 7 0 3 0 6 8 4 7 6 5 5 7 4\n1 1 1 1 1 1 0 3 3 4 8 8 3 7 7 3 8 8 4 3 3 0 0 7 3 6 8 7 5 9\n8 7 3 6 6 7 3 0 0 3 8 8 7 3 3 7 8 8 3 0 0 3 7 6 6 3 7 8 5 5\n9 8 8 8 6 6 7 0 8 4 9 3 0 8 8 0 3 9 4 8 0 7 6 6 8 8 8 9 9 3\n8 9 7 8 6 8 6 7 4 4 3 9 8 7 7 8 9 3 4 4 7 6 8 6 8 7 9 8 3 9\n3 9 6 6 8 8 6 3 7 0 0 8 6 8 8 6 8 0 0 7 3 6 8 8 6 6 9 3 8 9\n9 3 6 8 8 8 3 6 6 7 8 7 8 6 6 8 7 8 7 6 6 3 8 8 8 6 3 9 9 8\n6 6 4 6 5 9 7 8 5 5 7 0 4 4 4 4 0 7 5 5 8 7 9 5 6 4 6 6 7 8\n6 8 6 4 9 5 8 7 5 9 6 7 4 8 8 4 7 6 9 5 7 8 5 9 4 6 8 6 8 8\n", "answer": "8 8 9 5 6 4 5 9 4 7 3 6 6 7 7 6 6 3 7 4 9 5 4 6 5 9 8 8 8 6\n8 8 5 9 4 6 5 5 7 4 6 3 7 0 0 7 3 6 4 7 5 5 6 4 9 5 8 8 6 6\n6 8 6 4 9 5 8 7 5 9 6 7 4 8 8 4 7 6 9 5 7 8 5 9 4 6 8 6 8 8\n6 6 4 6 5 9 7 8 5 5 7 0 4 4 4 4 0 7 5 5 8 7 9 5 6 4 6 6 7 8\n9 3 6 8 8 8 3 6 6 7 8 7 8 6 6 8 7 8 7 6 6 3 8 8 8 6 3 9 9 8\n3 9 6 6 8 8 6 3 7 0 0 8 6 8 8 6 8 0 0 7 3 6 8 8 6 6 9 3 8 9\n8 9 7 8 6 8 6 7 4 4 3 9 8 7 7 8 9 3 4 4 7 6 8 6 8 7 9 8 3 9\n9 8 8 8 6 6 7 0 8 4 9 3 0 8 8 0 3 9 4 8 0 7 6 6 8 8 8 9 9 3\n8 7 3 6 6 7 3 0 0 3 8 8 7 3 3 7 8 8 3 0 0 3 7 6 6 3 7 8 5 5\n7 8 6 3 7 0 0 3 3 4 8 8 3 7 7 3 8 8 4 3 3 0 0 7 3 6 8 7 5 9\n5 5 6 7 4 8 6 0 3 0 7 3 8 8 8 8 3 7 0 3 0 6 8 4 7 6 5 5 7 4\n9 5 7 0 4 4 0 6 0 3 3 7 8 8 8 8 7 3 3 0 6 0 4 4 0 7 5 9 4 7\n6 7 8 0 3 9 6 8 8 5 3 0 4 3 3 4 0 3 5 8 8 6 9 3 0 8 7 6 6 3\n7 0 7 8 9 3 8 6 5 8 0 3 3 0 0 3 3 0 8 5 6 8 3 9 8 7 0 7 3 6\n4 4 8 6 8 0 8 5 6 8 6 0 3 0 0 3 0 6 8 6 5 8 0 8 6 8 4 4 7 6\n8 4 6 8 7 8 5 8 8 6 0 6 0 3 3 0 6 0 6 8 8 5 8 7 8 6 4 8 0 7\n8 4 6 8 7 8 5 8 8 6 0 6 0 3 3 0 6 0 6 8 8 5 8 7 8 6 4 8 0 7\n4 4 8 6 8 0 8 5 6 8 6 0 3 0 0 3 0 6 8 6 5 8 0 8 6 8 4 4 7 6\n7 0 7 8 9 3 8 6 5 8 0 3 3 0 0 3 3 0 8 5 6 8 3 9 8 7 0 7 3 6\n6 7 8 0 3 9 6 8 8 5 3 0 4 3 3 4 0 3 5 8 8 6 9 3 0 8 7 6 6 3\n9 5 7 0 4 4 0 6 0 3 3 7 8 8 8 8 7 3 3 0 6 0 4 4 0 7 5 9 4 7\n5 5 6 7 4 8 6 0 3 0 7 3 8 8 8 8 3 7 0 3 0 6 8 4 7 6 5 5 7 4\n7 8 6 3 7 0 0 3 3 4 8 8 3 7 7 3 8 8 4 3 3 0 0 7 3 6 8 7 5 9\n8 7 3 6 6 7 3 0 0 3 8 8 7 3 3 7 8 8 3 0 0 3 7 6 6 3 7 8 5 5\n9 8 8 8 6 6 7 0 8 4 9 3 0 8 8 0 3 9 4 8 0 7 6 6 8 8 8 9 9 3\n8 9 7 8 6 8 6 7 4 4 3 9 8 7 7 8 9 3 4 4 7 6 8 6 8 7 9 8 3 9\n3 9 6 6 8 8 6 3 7 0 0 8 6 8 8 6 8 0 0 7 3 6 8 8 6 6 9 3 8 9\n9 3 6 8 8 8 3 6 6 7 8 7 8 6 6 8 7 8 7 6 6 3 8 8 8 6 3 9 9 8\n6 6 4 6 5 9 7 8 5 5 7 0 4 4 4 4 0 7 5 5 8 7 9 5 6 4 6 6 7 8\n6 8 6 4 9 5 8 7 5 9 6 7 4 8 8 4 7 6 9 5 7 8 5 9 4 6 8 6 8 8", "metadata": {"source_dataset": "arc_agi", "source_index": 221, "input": [[8, 8, 9, 5, 6, 4, 5, 9, 4, 7, 3, 1, 1, 1, 1, 1, 1, 1, 7, 4, 9, 5, 4, 6, 5, 9, 8, 8, 8, 6], [8, 8, 5, 9, 4, 6, 5, 5, 7, 4, 6, 1, 1, 1, 1, 1, 1, 1, 4, 7, 5, 5, 6, 4, 9, 5, 8, 8, 6, 6], [6, 8, 6, 4, 9, 5, 8, 7, 5, 9, 6, 1, 1, 1, 1, 1, 1, 1, 9, 5, 7, 8, 5, 9, 4, 6, 8, 6, 8, 8], [6, 6, 4, 6, 5, 9, 7, 8, 5, 5, 7, 1, 1, 1, 1, 1, 1, 1, 5, 5, 8, 7, 9, 5, 6, 4, 6, 6, 7, 8], [9, 3, 6, 8, 8, 8, 3, 6, 6, 7, 8, 1, 1, 1, 1, 1, 1, 1, 7, 6, 6, 3, 8, 8, 8, 6, 3, 9, 9, 8], [3, 9, 6, 6, 8, 8, 6, 3, 7, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 7, 3, 6, 8, 8, 6, 6, 9, 3, 8, 9], [8, 9, 7, 8, 6, 8, 6, 7, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 4, 4, 7, 6, 8, 6, 8, 7, 9, 8, 3, 9], [9, 8, 8, 8, 6, 6, 7, 0, 8, 4, 9, 1, 1, 1, 1, 1, 1, 1, 4, 8, 0, 7, 6, 6, 8, 8, 8, 9, 9, 3], [8, 7, 3, 6, 6, 7, 3, 0, 0, 3, 8, 8, 7, 3, 3, 7, 8, 8, 3, 0, 0, 3, 7, 6, 6, 3, 7, 8, 5, 5], [7, 8, 6, 3, 7, 0, 0, 3, 3, 4, 8, 8, 3, 7, 7, 3, 8, 8, 4, 3, 3, 0, 0, 7, 3, 6, 8, 7, 5, 9], [5, 5, 6, 7, 4, 8, 6, 0, 3, 0, 7, 3, 8, 8, 8, 8, 3, 7, 0, 3, 0, 6, 8, 4, 7, 6, 5, 5, 7, 4], [9, 5, 7, 0, 4, 4, 0, 6, 0, 3, 3, 7, 8, 8, 8, 8, 7, 1, 1, 1, 6, 0, 4, 4, 0, 7, 5, 9, 4, 7], [6, 7, 8, 0, 3, 9, 6, 8, 8, 5, 3, 0, 4, 3, 3, 4, 0, 1, 1, 1, 8, 6, 9, 3, 0, 8, 7, 6, 6, 3], [7, 0, 7, 8, 9, 3, 8, 6, 5, 8, 0, 3, 3, 0, 0, 3, 3, 1, 1, 1, 6, 8, 3, 9, 8, 7, 0, 7, 3, 6], [4, 4, 8, 6, 8, 0, 8, 5, 6, 8, 6, 0, 3, 0, 0, 3, 0, 6, 8, 6, 5, 8, 0, 8, 6, 8, 4, 4, 7, 6], [8, 4, 6, 8, 7, 8, 5, 8, 8, 6, 0, 6, 0, 3, 3, 0, 6, 0, 6, 8, 8, 5, 8, 7, 8, 6, 4, 8, 0, 7], [1, 1, 1, 1, 1, 1, 5, 8, 8, 6, 0, 6, 0, 3, 3, 0, 6, 0, 6, 8, 8, 5, 8, 7, 8, 6, 4, 8, 0, 7], [1, 1, 1, 1, 1, 1, 8, 5, 6, 8, 6, 0, 3, 0, 0, 3, 0, 6, 8, 6, 5, 8, 0, 8, 6, 8, 4, 4, 7, 6], [1, 1, 1, 1, 1, 1, 8, 6, 5, 8, 0, 3, 3, 0, 0, 3, 3, 0, 8, 5, 6, 8, 3, 9, 8, 7, 0, 7, 3, 6], [1, 1, 1, 1, 1, 1, 6, 8, 8, 5, 3, 0, 4, 3, 3, 4, 0, 3, 5, 8, 8, 6, 9, 3, 0, 8, 7, 6, 6, 3], [1, 1, 1, 1, 1, 1, 0, 6, 0, 3, 3, 7, 8, 8, 8, 8, 7, 3, 3, 0, 6, 0, 4, 4, 0, 7, 5, 9, 4, 7], [1, 1, 1, 1, 1, 1, 6, 0, 3, 0, 7, 3, 8, 8, 8, 8, 3, 7, 0, 3, 0, 6, 8, 4, 7, 6, 5, 5, 7, 4], [1, 1, 1, 1, 1, 1, 0, 3, 3, 4, 8, 8, 3, 7, 7, 3, 8, 8, 4, 3, 3, 0, 0, 7, 3, 6, 8, 7, 5, 9], [8, 7, 3, 6, 6, 7, 3, 0, 0, 3, 8, 8, 7, 3, 3, 7, 8, 8, 3, 0, 0, 3, 7, 6, 6, 3, 7, 8, 5, 5], [9, 8, 8, 8, 6, 6, 7, 0, 8, 4, 9, 3, 0, 8, 8, 0, 3, 9, 4, 8, 0, 7, 6, 6, 8, 8, 8, 9, 9, 3], [8, 9, 7, 8, 6, 8, 6, 7, 4, 4, 3, 9, 8, 7, 7, 8, 9, 3, 4, 4, 7, 6, 8, 6, 8, 7, 9, 8, 3, 9], [3, 9, 6, 6, 8, 8, 6, 3, 7, 0, 0, 8, 6, 8, 8, 6, 8, 0, 0, 7, 3, 6, 8, 8, 6, 6, 9, 3, 8, 9], [9, 3, 6, 8, 8, 8, 3, 6, 6, 7, 8, 7, 8, 6, 6, 8, 7, 8, 7, 6, 6, 3, 8, 8, 8, 6, 3, 9, 9, 8], [6, 6, 4, 6, 5, 9, 7, 8, 5, 5, 7, 0, 4, 4, 4, 4, 0, 7, 5, 5, 8, 7, 9, 5, 6, 4, 6, 6, 7, 8], [6, 8, 6, 4, 9, 5, 8, 7, 5, 9, 6, 7, 4, 8, 8, 4, 7, 6, 9, 5, 7, 8, 5, 9, 4, 6, 8, 6, 8, 8]], "output": [[8, 8, 9, 5, 6, 4, 5, 9, 4, 7, 3, 6, 6, 7, 7, 6, 6, 3, 7, 4, 9, 5, 4, 6, 5, 9, 8, 8, 8, 6], [8, 8, 5, 9, 4, 6, 5, 5, 7, 4, 6, 3, 7, 0, 0, 7, 3, 6, 4, 7, 5, 5, 6, 4, 9, 5, 8, 8, 6, 6], [6, 8, 6, 4, 9, 5, 8, 7, 5, 9, 6, 7, 4, 8, 8, 4, 7, 6, 9, 5, 7, 8, 5, 9, 4, 6, 8, 6, 8, 8], [6, 6, 4, 6, 5, 9, 7, 8, 5, 5, 7, 0, 4, 4, 4, 4, 0, 7, 5, 5, 8, 7, 9, 5, 6, 4, 6, 6, 7, 8], [9, 3, 6, 8, 8, 8, 3, 6, 6, 7, 8, 7, 8, 6, 6, 8, 7, 8, 7, 6, 6, 3, 8, 8, 8, 6, 3, 9, 9, 8], [3, 9, 6, 6, 8, 8, 6, 3, 7, 0, 0, 8, 6, 8, 8, 6, 8, 0, 0, 7, 3, 6, 8, 8, 6, 6, 9, 3, 8, 9], [8, 9, 7, 8, 6, 8, 6, 7, 4, 4, 3, 9, 8, 7, 7, 8, 9, 3, 4, 4, 7, 6, 8, 6, 8, 7, 9, 8, 3, 9], [9, 8, 8, 8, 6, 6, 7, 0, 8, 4, 9, 3, 0, 8, 8, 0, 3, 9, 4, 8, 0, 7, 6, 6, 8, 8, 8, 9, 9, 3], [8, 7, 3, 6, 6, 7, 3, 0, 0, 3, 8, 8, 7, 3, 3, 7, 8, 8, 3, 0, 0, 3, 7, 6, 6, 3, 7, 8, 5, 5], [7, 8, 6, 3, 7, 0, 0, 3, 3, 4, 8, 8, 3, 7, 7, 3, 8, 8, 4, 3, 3, 0, 0, 7, 3, 6, 8, 7, 5, 9], [5, 5, 6, 7, 4, 8, 6, 0, 3, 0, 7, 3, 8, 8, 8, 8, 3, 7, 0, 3, 0, 6, 8, 4, 7, 6, 5, 5, 7, 4], [9, 5, 7, 0, 4, 4, 0, 6, 0, 3, 3, 7, 8, 8, 8, 8, 7, 3, 3, 0, 6, 0, 4, 4, 0, 7, 5, 9, 4, 7], [6, 7, 8, 0, 3, 9, 6, 8, 8, 5, 3, 0, 4, 3, 3, 4, 0, 3, 5, 8, 8, 6, 9, 3, 0, 8, 7, 6, 6, 3], [7, 0, 7, 8, 9, 3, 8, 6, 5, 8, 0, 3, 3, 0, 0, 3, 3, 0, 8, 5, 6, 8, 3, 9, 8, 7, 0, 7, 3, 6], [4, 4, 8, 6, 8, 0, 8, 5, 6, 8, 6, 0, 3, 0, 0, 3, 0, 6, 8, 6, 5, 8, 0, 8, 6, 8, 4, 4, 7, 6], [8, 4, 6, 8, 7, 8, 5, 8, 8, 6, 0, 6, 0, 3, 3, 0, 6, 0, 6, 8, 8, 5, 8, 7, 8, 6, 4, 8, 0, 7], [8, 4, 6, 8, 7, 8, 5, 8, 8, 6, 0, 6, 0, 3, 3, 0, 6, 0, 6, 8, 8, 5, 8, 7, 8, 6, 4, 8, 0, 7], [4, 4, 8, 6, 8, 0, 8, 5, 6, 8, 6, 0, 3, 0, 0, 3, 0, 6, 8, 6, 5, 8, 0, 8, 6, 8, 4, 4, 7, 6], [7, 0, 7, 8, 9, 3, 8, 6, 5, 8, 0, 3, 3, 0, 0, 3, 3, 0, 8, 5, 6, 8, 3, 9, 8, 7, 0, 7, 3, 6], [6, 7, 8, 0, 3, 9, 6, 8, 8, 5, 3, 0, 4, 3, 3, 4, 0, 3, 5, 8, 8, 6, 9, 3, 0, 8, 7, 6, 6, 3], [9, 5, 7, 0, 4, 4, 0, 6, 0, 3, 3, 7, 8, 8, 8, 8, 7, 3, 3, 0, 6, 0, 4, 4, 0, 7, 5, 9, 4, 7], [5, 5, 6, 7, 4, 8, 6, 0, 3, 0, 7, 3, 8, 8, 8, 8, 3, 7, 0, 3, 0, 6, 8, 4, 7, 6, 5, 5, 7, 4], [7, 8, 6, 3, 7, 0, 0, 3, 3, 4, 8, 8, 3, 7, 7, 3, 8, 8, 4, 3, 3, 0, 0, 7, 3, 6, 8, 7, 5, 9], [8, 7, 3, 6, 6, 7, 3, 0, 0, 3, 8, 8, 7, 3, 3, 7, 8, 8, 3, 0, 0, 3, 7, 6, 6, 3, 7, 8, 5, 5], [9, 8, 8, 8, 6, 6, 7, 0, 8, 4, 9, 3, 0, 8, 8, 0, 3, 9, 4, 8, 0, 7, 6, 6, 8, 8, 8, 9, 9, 3], [8, 9, 7, 8, 6, 8, 6, 7, 4, 4, 3, 9, 8, 7, 7, 8, 9, 3, 4, 4, 7, 6, 8, 6, 8, 7, 9, 8, 3, 9], [3, 9, 6, 6, 8, 8, 6, 3, 7, 0, 0, 8, 6, 8, 8, 6, 8, 0, 0, 7, 3, 6, 8, 8, 6, 6, 9, 3, 8, 9], [9, 3, 6, 8, 8, 8, 3, 6, 6, 7, 8, 7, 8, 6, 6, 8, 7, 8, 7, 6, 6, 3, 8, 8, 8, 6, 3, 9, 9, 8], [6, 6, 4, 6, 5, 9, 7, 8, 5, 5, 7, 0, 4, 4, 4, 4, 0, 7, 5, 5, 8, 7, 9, 5, 6, 4, 6, 6, 7, 8], [6, 8, 6, 4, 9, 5, 8, 7, 5, 9, 6, 7, 4, 8, 8, 4, 7, 6, 9, 5, 7, 8, 5, 9, 4, 6, 8, 6, 8, 8]], "task_id": "f9d67f8b", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 221, "input": [[8, 8, 9, 5, 6, 4, 5, 9, 4, 7, 3, 1, 1, 1, 1, 1, 1, 1, 7, 4, 9, 5, 4, 6, 5, 9, 8, 8, 8, 6], [8, 8, 5, 9, 4, 6, 5, 5, 7, 4, 6, 1, 1, 1, 1, 1, 1, 1, 4, 7, 5, 5, 6, 4, 9, 5, 8, 8, 6, 6], [6, 8, 6, 4, 9, 5, 8, 7, 5, 9, 6, 1, 1, 1, 1, 1, 1, 1, 9, 5, 7, 8, 5, 9, 4, 6, 8, 6, 8, 8], [6, 6, 4, 6, 5, 9, 7, 8, 5, 5, 7, 1, 1, 1, 1, 1, 1, 1, 5, 5, 8, 7, 9, 5, 6, 4, 6, 6, 7, 8], [9, 3, 6, 8, 8, 8, 3, 6, 6, 7, 8, 1, 1, 1, 1, 1, 1, 1, 7, 6, 6, 3, 8, 8, 8, 6, 3, 9, 9, 8], [3, 9, 6, 6, 8, 8, 6, 3, 7, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 7, 3, 6, 8, 8, 6, 6, 9, 3, 8, 9], [8, 9, 7, 8, 6, 8, 6, 7, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 4, 4, 7, 6, 8, 6, 8, 7, 9, 8, 3, 9], [9, 8, 8, 8, 6, 6, 7, 0, 8, 4, 9, 1, 1, 1, 1, 1, 1, 1, 4, 8, 0, 7, 6, 6, 8, 8, 8, 9, 9, 3], [8, 7, 3, 6, 6, 7, 3, 0, 0, 3, 8, 8, 7, 3, 3, 7, 8, 8, 3, 0, 0, 3, 7, 6, 6, 3, 7, 8, 5, 5], [7, 8, 6, 3, 7, 0, 0, 3, 3, 4, 8, 8, 3, 7, 7, 3, 8, 8, 4, 3, 3, 0, 0, 7, 3, 6, 8, 7, 5, 9], [5, 5, 6, 7, 4, 8, 6, 0, 3, 0, 7, 3, 8, 8, 8, 8, 3, 7, 0, 3, 0, 6, 8, 4, 7, 6, 5, 5, 7, 4], [9, 5, 7, 0, 4, 4, 0, 6, 0, 3, 3, 7, 8, 8, 8, 8, 7, 1, 1, 1, 6, 0, 4, 4, 0, 7, 5, 9, 4, 7], [6, 7, 8, 0, 3, 9, 6, 8, 8, 5, 3, 0, 4, 3, 3, 4, 0, 1, 1, 1, 8, 6, 9, 3, 0, 8, 7, 6, 6, 3], [7, 0, 7, 8, 9, 3, 8, 6, 5, 8, 0, 3, 3, 0, 0, 3, 3, 1, 1, 1, 6, 8, 3, 9, 8, 7, 0, 7, 3, 6], [4, 4, 8, 6, 8, 0, 8, 5, 6, 8, 6, 0, 3, 0, 0, 3, 0, 6, 8, 6, 5, 8, 0, 8, 6, 8, 4, 4, 7, 6], [8, 4, 6, 8, 7, 8, 5, 8, 8, 6, 0, 6, 0, 3, 3, 0, 6, 0, 6, 8, 8, 5, 8, 7, 8, 6, 4, 8, 0, 7], [1, 1, 1, 1, 1, 1, 5, 8, 8, 6, 0, 6, 0, 3, 3, 0, 6, 0, 6, 8, 8, 5, 8, 7, 8, 6, 4, 8, 0, 7], [1, 1, 1, 1, 1, 1, 8, 5, 6, 8, 6, 0, 3, 0, 0, 3, 0, 6, 8, 6, 5, 8, 0, 8, 6, 8, 4, 4, 7, 6], [1, 1, 1, 1, 1, 1, 8, 6, 5, 8, 0, 3, 3, 0, 0, 3, 3, 0, 8, 5, 6, 8, 3, 9, 8, 7, 0, 7, 3, 6], [1, 1, 1, 1, 1, 1, 6, 8, 8, 5, 3, 0, 4, 3, 3, 4, 0, 3, 5, 8, 8, 6, 9, 3, 0, 8, 7, 6, 6, 3], [1, 1, 1, 1, 1, 1, 0, 6, 0, 3, 3, 7, 8, 8, 8, 8, 7, 3, 3, 0, 6, 0, 4, 4, 0, 7, 5, 9, 4, 7], [1, 1, 1, 1, 1, 1, 6, 0, 3, 0, 7, 3, 8, 8, 8, 8, 3, 7, 0, 3, 0, 6, 8, 4, 7, 6, 5, 5, 7, 4], [1, 1, 1, 1, 1, 1, 0, 3, 3, 4, 8, 8, 3, 7, 7, 3, 8, 8, 4, 3, 3, 0, 0, 7, 3, 6, 8, 7, 5, 9], [8, 7, 3, 6, 6, 7, 3, 0, 0, 3, 8, 8, 7, 3, 3, 7, 8, 8, 3, 0, 0, 3, 7, 6, 6, 3, 7, 8, 5, 5], [9, 8, 8, 8, 6, 6, 7, 0, 8, 4, 9, 3, 0, 8, 8, 0, 3, 9, 4, 8, 0, 7, 6, 6, 8, 8, 8, 9, 9, 3], [8, 9, 7, 8, 6, 8, 6, 7, 4, 4, 3, 9, 8, 7, 7, 8, 9, 3, 4, 4, 7, 6, 8, 6, 8, 7, 9, 8, 3, 9], [3, 9, 6, 6, 8, 8, 6, 3, 7, 0, 0, 8, 6, 8, 8, 6, 8, 0, 0, 7, 3, 6, 8, 8, 6, 6, 9, 3, 8, 9], [9, 3, 6, 8, 8, 8, 3, 6, 6, 7, 8, 7, 8, 6, 6, 8, 7, 8, 7, 6, 6, 3, 8, 8, 8, 6, 3, 9, 9, 8], [6, 6, 4, 6, 5, 9, 7, 8, 5, 5, 7, 0, 4, 4, 4, 4, 0, 7, 5, 5, 8, 7, 9, 5, 6, 4, 6, 6, 7, 8], [6, 8, 6, 4, 9, 5, 8, 7, 5, 9, 6, 7, 4, 8, 8, 4, 7, 6, 9, 5, 7, 8, 5, 9, 4, 6, 8, 6, 8, 8]], "output": [[8, 8, 9, 5, 6, 4, 5, 9, 4, 7, 3, 6, 6, 7, 7, 6, 6, 3, 7, 4, 9, 5, 4, 6, 5, 9, 8, 8, 8, 6], [8, 8, 5, 9, 4, 6, 5, 5, 7, 4, 6, 3, 7, 0, 0, 7, 3, 6, 4, 7, 5, 5, 6, 4, 9, 5, 8, 8, 6, 6], [6, 8, 6, 4, 9, 5, 8, 7, 5, 9, 6, 7, 4, 8, 8, 4, 7, 6, 9, 5, 7, 8, 5, 9, 4, 6, 8, 6, 8, 8], [6, 6, 4, 6, 5, 9, 7, 8, 5, 5, 7, 0, 4, 4, 4, 4, 0, 7, 5, 5, 8, 7, 9, 5, 6, 4, 6, 6, 7, 8], [9, 3, 6, 8, 8, 8, 3, 6, 6, 7, 8, 7, 8, 6, 6, 8, 7, 8, 7, 6, 6, 3, 8, 8, 8, 6, 3, 9, 9, 8], [3, 9, 6, 6, 8, 8, 6, 3, 7, 0, 0, 8, 6, 8, 8, 6, 8, 0, 0, 7, 3, 6, 8, 8, 6, 6, 9, 3, 8, 9], [8, 9, 7, 8, 6, 8, 6, 7, 4, 4, 3, 9, 8, 7, 7, 8, 9, 3, 4, 4, 7, 6, 8, 6, 8, 7, 9, 8, 3, 9], [9, 8, 8, 8, 6, 6, 7, 0, 8, 4, 9, 3, 0, 8, 8, 0, 3, 9, 4, 8, 0, 7, 6, 6, 8, 8, 8, 9, 9, 3], [8, 7, 3, 6, 6, 7, 3, 0, 0, 3, 8, 8, 7, 3, 3, 7, 8, 8, 3, 0, 0, 3, 7, 6, 6, 3, 7, 8, 5, 5], [7, 8, 6, 3, 7, 0, 0, 3, 3, 4, 8, 8, 3, 7, 7, 3, 8, 8, 4, 3, 3, 0, 0, 7, 3, 6, 8, 7, 5, 9], [5, 5, 6, 7, 4, 8, 6, 0, 3, 0, 7, 3, 8, 8, 8, 8, 3, 7, 0, 3, 0, 6, 8, 4, 7, 6, 5, 5, 7, 4], [9, 5, 7, 0, 4, 4, 0, 6, 0, 3, 3, 7, 8, 8, 8, 8, 7, 3, 3, 0, 6, 0, 4, 4, 0, 7, 5, 9, 4, 7], [6, 7, 8, 0, 3, 9, 6, 8, 8, 5, 3, 0, 4, 3, 3, 4, 0, 3, 5, 8, 8, 6, 9, 3, 0, 8, 7, 6, 6, 3], [7, 0, 7, 8, 9, 3, 8, 6, 5, 8, 0, 3, 3, 0, 0, 3, 3, 0, 8, 5, 6, 8, 3, 9, 8, 7, 0, 7, 3, 6], [4, 4, 8, 6, 8, 0, 8, 5, 6, 8, 6, 0, 3, 0, 0, 3, 0, 6, 8, 6, 5, 8, 0, 8, 6, 8, 4, 4, 7, 6], [8, 4, 6, 8, 7, 8, 5, 8, 8, 6, 0, 6, 0, 3, 3, 0, 6, 0, 6, 8, 8, 5, 8, 7, 8, 6, 4, 8, 0, 7], [8, 4, 6, 8, 7, 8, 5, 8, 8, 6, 0, 6, 0, 3, 3, 0, 6, 0, 6, 8, 8, 5, 8, 7, 8, 6, 4, 8, 0, 7], [4, 4, 8, 6, 8, 0, 8, 5, 6, 8, 6, 0, 3, 0, 0, 3, 0, 6, 8, 6, 5, 8, 0, 8, 6, 8, 4, 4, 7, 6], [7, 0, 7, 8, 9, 3, 8, 6, 5, 8, 0, 3, 3, 0, 0, 3, 3, 0, 8, 5, 6, 8, 3, 9, 8, 7, 0, 7, 3, 6], [6, 7, 8, 0, 3, 9, 6, 8, 8, 5, 3, 0, 4, 3, 3, 4, 0, 3, 5, 8, 8, 6, 9, 3, 0, 8, 7, 6, 6, 3], [9, 5, 7, 0, 4, 4, 0, 6, 0, 3, 3, 7, 8, 8, 8, 8, 7, 3, 3, 0, 6, 0, 4, 4, 0, 7, 5, 9, 4, 7], [5, 5, 6, 7, 4, 8, 6, 0, 3, 0, 7, 3, 8, 8, 8, 8, 3, 7, 0, 3, 0, 6, 8, 4, 7, 6, 5, 5, 7, 4], [7, 8, 6, 3, 7, 0, 0, 3, 3, 4, 8, 8, 3, 7, 7, 3, 8, 8, 4, 3, 3, 0, 0, 7, 3, 6, 8, 7, 5, 9], [8, 7, 3, 6, 6, 7, 3, 0, 0, 3, 8, 8, 7, 3, 3, 7, 8, 8, 3, 0, 0, 3, 7, 6, 6, 3, 7, 8, 5, 5], [9, 8, 8, 8, 6, 6, 7, 0, 8, 4, 9, 3, 0, 8, 8, 0, 3, 9, 4, 8, 0, 7, 6, 6, 8, 8, 8, 9, 9, 3], [8, 9, 7, 8, 6, 8, 6, 7, 4, 4, 3, 9, 8, 7, 7, 8, 9, 3, 4, 4, 7, 6, 8, 6, 8, 7, 9, 8, 3, 9], [3, 9, 6, 6, 8, 8, 6, 3, 7, 0, 0, 8, 6, 8, 8, 6, 8, 0, 0, 7, 3, 6, 8, 8, 6, 6, 9, 3, 8, 9], [9, 3, 6, 8, 8, 8, 3, 6, 6, 7, 8, 7, 8, 6, 6, 8, 7, 8, 7, 6, 6, 3, 8, 8, 8, 6, 3, 9, 9, 8], [6, 6, 4, 6, 5, 9, 7, 8, 5, 5, 7, 0, 4, 4, 4, 4, 0, 7, 5, 5, 8, 7, 9, 5, 6, 4, 6, 6, 7, 8], [6, 8, 6, 4, 9, 5, 8, 7, 5, 9, 6, 7, 4, 8, 8, 4, 7, 6, 9, 5, 7, 8, 5, 9, 4, 6, 8, 6, 8, 8]], "task_id": "f9d67f8b", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null
General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 5 8 8 8 8 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 8 8 8 8 5 5 5 5 Output: 5 8 8 8 8 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 3 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 8 8 8 8 5 5 5 5 Example 2: Input: 5 5 5 5 5 5 5 5 5 5 5 5 5 8 8 8 8 8 8 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 8 8 8 8 8 8 5 5 5 5 5 5 5 5 5 5 5 Output: 5 5 5 5 5 5 5 5 5 5 5 5 5 8 8 8 8 8 8 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 6 5 5 5 5 5 5 5 3 5 5 5 5 5 5 5 5 6 6 5 6 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 6 6 5 6 5 5 5 5 5 5 5 6 5 3 5 5 5 5 5 5 6 6 5 6 5 5 5 5 5 5 5 6 5 6 5 5 5 5 5 5 6 6 5 6 5 5 5 5 5 5 3 6 5 6 5 5 5 5 5 5 6 6 5 6 5 5 5 5 5 5 6 6 5 6 5 5 5 5 5 5 6 6 5 6 5 5 5 5 5 5 6 6 5 6 5 5 5 5 5 5 6 6 5 6 5 5 5 5 5 8 8 8 8 8 8 5 5 5 5 5 6 6 5 6 5 5 Example 3: Input: 5 8 8 8 8 8 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 8 8 8 8 8 5 5 5 5 Output: 5 8 8 8 8 8 5 5 5 5 5 5 6 5 6 5 5 5 5 5 5 5 6 5 6 5 5 5 5 5 5 5 6 5 6 5 5 5 5 5 5 5 6 5 6 5 5 5 5 5 5 5 6 5 6 5 5 5 5 5 5 5 6 5 6 5 5 5 5 5 5 5 6 5 6 5 5 5 5 5 5 5 6 5 6 5 5 5 5 5 5 5 6 5 6 5 5 5 5 5 5 5 6 5 3 5 5 5 5 5 5 5 6 5 6 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 6 5 6 5 5 5 5 5 5 5 3 5 5 5 5 5 5 5 5 5 6 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 8 8 8 8 8 5 5 5 5 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 5 8 8 8 8 8 8 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 8 8 8 8 8 8 5
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "5 8 8 8 8 8 8 5 5 5 5 5 5 5 5 6 6 5 6 5 5\n5 5 6 6 5 6 5 5 5 5 5 5 5 5 5 6 6 5 6 5 5\n5 5 6 6 5 6 5 5 5 5 5 5 5 5 5 6 6 5 6 5 5\n5 5 6 6 5 6 5 5 5 5 5 5 5 5 5 6 6 5 6 5 5\n5 5 6 6 5 3 5 5 5 5 5 5 5 5 5 6 6 5 6 5 5\n5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 5 6 5 5\n5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 5 6 5 5\n5 5 6 3 5 5 5 5 5 5 5 5 5 5 5 6 6 5 6 5 5\n5 5 3 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 6 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 6 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 6 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 8 8 8 8 8 8 5", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n5 8 8 8 8 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 8 8 8 8 5 5 5 5\nOutput:\n5 8 8 8 8 5 5 5 5 5 5 5 5 6 5 5 5 5 5\n5 5 5 6 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5\n5 5 5 6 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5\n5 5 5 6 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5\n5 5 5 3 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 8 8 8 8 5 5 5 5\n\nExample 2:\n\nInput:\n5 5 5 5 5 5 5 5 5 5 5 5 5 8 8 8 8 8 8 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 8 8 8 8 8 8 5 5 5 5 5 5 5 5 5 5 5\nOutput:\n5 5 5 5 5 5 5 5 5 5 5 5 5 8 8 8 8 8 8 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 6 5 5\n5 5 5 5 5 3 5 5 5 5 5 5 5 5 6 6 5 6 5 5\n5 5 5 5 5 6 5 5 5 5 5 5 5 5 6 6 5 6 5 5\n5 5 5 5 5 6 5 3 5 5 5 5 5 5 6 6 5 6 5 5\n5 5 5 5 5 6 5 6 5 5 5 5 5 5 6 6 5 6 5 5\n5 5 5 5 3 6 5 6 5 5 5 5 5 5 6 6 5 6 5 5\n5 5 5 5 6 6 5 6 5 5 5 5 5 5 6 6 5 6 5 5\n5 5 5 5 6 6 5 6 5 5 5 5 5 5 6 6 5 6 5 5\n5 5 5 8 8 8 8 8 8 5 5 5 5 5 6 6 5 6 5 5\n\nExample 3:\n\nInput:\n5 8 8 8 8 8 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 8 8 8 8 8 5 5 5 5\nOutput:\n5 8 8 8 8 8 5 5 5 5 5 5 6 5 6 5 5 5 5 5\n5 5 6 5 6 5 5 5 5 5 5 5 6 5 6 5 5 5 5 5\n5 5 6 5 6 5 5 5 5 5 5 5 6 5 6 5 5 5 5 5\n5 5 6 5 6 5 5 5 5 5 5 5 6 5 6 5 5 5 5 5\n5 5 6 5 6 5 5 5 5 5 5 5 6 5 6 5 5 5 5 5\n5 5 6 5 3 5 5 5 5 5 5 5 6 5 6 5 5 5 5 5\n5 5 6 5 5 5 5 5 5 5 5 5 6 5 6 5 5 5 5 5\n5 5 3 5 5 5 5 5 5 5 5 5 6 5 6 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 6 5 6 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 8 8 8 8 8 5 5 5 5\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n5 8 8 8 8 8 8 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 8 8 8 8 8 8 5\n", "answer": "5 8 8 8 8 8 8 5 5 5 5 5 5 5 5 6 6 5 6 5 5\n5 5 6 6 5 6 5 5 5 5 5 5 5 5 5 6 6 5 6 5 5\n5 5 6 6 5 6 5 5 5 5 5 5 5 5 5 6 6 5 6 5 5\n5 5 6 6 5 6 5 5 5 5 5 5 5 5 5 6 6 5 6 5 5\n5 5 6 6 5 3 5 5 5 5 5 5 5 5 5 6 6 5 6 5 5\n5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 5 6 5 5\n5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 5 6 5 5\n5 5 6 3 5 5 5 5 5 5 5 5 5 5 5 6 6 5 6 5 5\n5 5 3 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 6 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 6 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 6 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 8 8 8 8 8 8 5", "metadata": {"source_dataset": "arc_agi", "source_index": 222, "input": [[5, 8, 8, 8, 8, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 5]], "output": [[5, 8, 8, 8, 8, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 6, 5, 5], [5, 5, 6, 6, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 6, 5, 5], [5, 5, 6, 6, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 6, 5, 5], [5, 5, 6, 6, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 6, 5, 5], [5, 5, 6, 6, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 6, 5, 5], [5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 6, 5, 5], [5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 6, 5, 5], [5, 5, 6, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 6, 5, 5], [5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 6, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 6, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 6, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 5]], "task_id": "673ef223", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 222, "input": [[5, 8, 8, 8, 8, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 5]], "output": [[5, 8, 8, 8, 8, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 6, 5, 5], [5, 5, 6, 6, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 6, 5, 5], [5, 5, 6, 6, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 6, 5, 5], [5, 5, 6, 6, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 6, 5, 5], [5, 5, 6, 6, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 6, 5, 5], [5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 6, 5, 5], [5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 6, 5, 5], [5, 5, 6, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 6, 5, 5], [5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 6, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 6, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 6, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 5]], "task_id": "673ef223", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
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General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 7 7 9 9 9 9 9 9 9 9 9 9 9 7 9 9 9 0 0 9 9 9 9 9 9 9 9 9 9 9 9 0 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 4 9 9 9 9 9 9 9 9 9 9 9 9 4 4 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 Output: 7 7 0 0 7 9 9 0 4 9 9 8 4 4 8 8 Example 2: Input: 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 4 4 9 9 9 9 9 7 9 9 9 9 9 9 4 9 9 9 9 9 7 7 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 1 9 9 9 9 9 9 9 9 9 9 9 1 1 9 9 9 9 9 0 0 9 9 9 9 9 9 9 9 9 9 9 0 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 Output: 0 0 4 4 0 9 9 4 7 9 9 1 7 7 1 1 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 7 7 9 9 9 9 9 9 9 9 9 9 9 7 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 4 9 9 9 9 9 9 9 9 9 9 9 4 4 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 2 2 9 9 9 9 9 1 9 9 9 9 9 9 2 9 9 9 9 9 1 1 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "7 7 2 2\n7 9 9 2\n1 9 9 4\n1 1 4 4", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 7 7 9 9 9 9 9 9 9 9 9 9\n9 7 9 9 9 0 0 9 9 9 9 9 9\n9 9 9 9 9 9 0 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 8 9 9\n9 9 9 9 9 9 9 9 9 8 8 9 9\n9 9 9 4 9 9 9 9 9 9 9 9 9\n9 9 9 4 4 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\nOutput:\n7 7 0 0\n7 9 9 0\n4 9 9 8\n4 4 8 8\n\nExample 2:\n\nInput:\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 4 4 9 9 9 9\n9 7 9 9 9 9 9 9 4 9 9 9 9\n9 7 7 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 1 9 9\n9 9 9 9 9 9 9 9 9 1 1 9 9\n9 9 9 0 0 9 9 9 9 9 9 9 9\n9 9 9 0 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\nOutput:\n0 0 4 4\n0 9 9 4\n7 9 9 1\n7 7 1 1\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 7 7 9 9 9 9 9 9 9 9 9\n9 9 7 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 4 9 9 9 9 9\n9 9 9 9 9 9 4 4 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 2 2 9 9 9 9 9 1 9 9 9\n9 9 9 2 9 9 9 9 9 1 1 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n", "answer": "7 7 2 2\n7 9 9 2\n1 9 9 4\n1 1 4 4", "metadata": {"source_dataset": "arc_agi", "source_index": 223, "input": [[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 4, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 4, 4, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 2, 2, 9, 9, 9, 9, 9, 1, 9, 9, 9], [9, 9, 9, 2, 9, 9, 9, 9, 9, 1, 1, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]], "output": [[7, 7, 2, 2], [7, 9, 9, 2], [1, 9, 9, 4], [1, 1, 4, 4]], "task_id": "a61ba2ce", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 223, "input": [[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 4, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 4, 4, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 2, 2, 9, 9, 9, 9, 9, 1, 9, 9, 9], [9, 9, 9, 2, 9, 9, 9, 9, 9, 1, 1, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]], "output": [[7, 7, 2, 2], [7, 9, 9, 2], [1, 9, 9, 4], [1, 1, 4, 4]], "task_id": "a61ba2ce", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null
General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 0 5 5 5 5 5 5 5 5 5 5 5 0 0 0 5 5 5 5 5 5 5 5 5 5 1 0 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 0 5 5 5 1 0 5 5 5 5 5 5 0 0 0 5 5 0 0 0 9 5 5 5 5 5 0 1 5 5 5 0 4 5 5 5 5 5 5 5 5 5 5 5 9 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 Output: 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 9 5 5 5 5 5 5 5 5 5 5 5 5 0 4 5 5 5 5 5 5 5 5 5 5 0 0 0 9 5 5 5 5 5 5 5 5 5 1 0 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 9 5 5 5 5 5 5 5 5 5 5 5 4 0 5 5 5 1 0 5 5 5 5 5 9 0 0 0 5 5 0 0 0 9 5 5 5 5 5 0 1 5 5 5 0 4 5 5 5 5 5 5 5 5 5 5 5 9 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 Example 2: Input: 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 0 5 5 5 5 5 5 5 5 5 5 5 5 0 5 5 5 5 5 5 5 5 5 5 5 1 0 0 0 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 1 5 5 5 9 5 4 5 5 5 5 0 0 0 5 5 1 0 0 0 5 5 5 5 5 5 0 5 5 5 0 5 4 5 5 5 5 5 5 0 5 5 5 0 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 Output: 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 0 5 4 5 5 5 5 5 5 5 5 5 5 0 5 4 5 5 5 5 5 5 5 5 5 1 0 0 0 5 5 5 5 5 5 5 5 5 5 9 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 1 5 5 5 9 5 4 5 5 5 5 0 0 0 9 5 1 0 0 0 5 5 5 5 5 5 0 5 5 5 0 5 4 5 5 5 5 4 4 0 4 5 5 0 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 Example 3: Input: 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 1 5 5 5 5 5 5 5 5 0 0 0 0 0 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 0 5 5 5 5 5 5 5 5 5 5 5 5 0 5 5 5 5 5 1 0 4 5 5 5 5 0 5 5 5 5 5 9 0 5 5 5 5 5 0 5 5 5 5 5 5 0 4 5 5 5 5 0 1 5 5 5 5 9 0 5 5 5 5 5 5 5 5 5 5 5 5 0 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 Output: 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 9 5 9 1 5 5 5 5 5 5 5 5 0 0 0 0 0 5 5 5 5 5 5 5 5 4 5 4 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 0 5 5 5 5 5 5 5 5 5 5 5 5 0 9 5 5 5 5 1 0 4 5 5 5 4 0 5 5 5 5 5 9 0 5 5 5 5 5 0 9 5 5 5 5 5 0 4 5 5 5 4 0 1 5 5 5 5 9 0 5 5 5 5 5 5 5 5 5 5 5 5 0 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 0 0 1 5 5 5 5 5 5 5 5 5 5 5 0 5 0 5 5 5 5 5 5 5 5 5 5 5 5 0 0 5 5 5 0 0 5 5 5 5 5 5 5 5 5 5 5 5 0 5 0 5 5 5 5 5 5 5 5 5 5 5 1 0 0 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 9 5 5 5 5 5 5 5 5 5 5 5 1 0 0 5 5 5 5 5 5 5 5 5 5 4 0 5 0 5 5 5 5 0 0 5 5 5 5 9 0 0 5 5 5 5 0 5 0 5 5 5 5 5 5 5 5 5 5 5 0 0 1 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 9 4 5 5 5 5 5 5 5 5 5\n5 5 5 0 0 1 5 5 5 5 5 5 5 5\n5 5 5 0 5 0 4 5 5 5 5 5 5 5\n5 5 5 5 0 0 9 5 9 0 0 5 5 5\n5 5 5 5 5 5 5 5 4 0 5 0 5 5\n5 5 5 5 5 5 5 5 5 1 0 0 5 5\n5 5 5 5 5 5 5 5 5 5 4 9 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 4 9 5 5 5 5 5 5 5 5\n5 5 5 1 0 0 5 5 5 5 5 5 5 5\n5 5 4 0 5 0 5 5 5 5 0 0 9 5\n5 5 9 0 0 5 5 5 5 0 5 0 4 5\n5 5 5 5 5 5 5 5 5 0 0 1 5 5\n5 5 5 5 5 5 5 5 5 9 4 5 5 5", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 0 5 5 5 5 5 5\n5 5 5 5 5 0 0 0 5 5 5 5 5\n5 5 5 5 5 1 0 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 0 5 5\n5 1 0 5 5 5 5 5 5 0 0 0 5\n5 0 0 0 9 5 5 5 5 5 0 1 5\n5 5 0 4 5 5 5 5 5 5 5 5 5\n5 5 9 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5\nOutput:\n5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 9 5 5 5 5 5 5\n5 5 5 5 5 5 0 4 5 5 5 5 5\n5 5 5 5 5 0 0 0 9 5 5 5 5\n5 5 5 5 5 1 0 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 9 5 5\n5 5 5 5 5 5 5 5 5 4 0 5 5\n5 1 0 5 5 5 5 5 9 0 0 0 5\n5 0 0 0 9 5 5 5 5 5 0 1 5\n5 5 0 4 5 5 5 5 5 5 5 5 5\n5 5 9 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5\n\nExample 2:\n\nInput:\n5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 0 5 5 5 5 5 5 5\n5 5 5 5 5 0 5 5 5 5 5 5 5\n5 5 5 5 1 0 0 0 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 1 5\n5 5 9 5 4 5 5 5 5 0 0 0 5\n5 1 0 0 0 5 5 5 5 5 5 0 5\n5 5 0 5 4 5 5 5 5 5 5 0 5\n5 5 0 5 4 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5\nOutput:\n5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 0 5 4 5 5 5 5 5\n5 5 5 5 5 0 5 4 5 5 5 5 5\n5 5 5 5 1 0 0 0 5 5 5 5 5\n5 5 5 5 5 9 5 4 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 1 5\n5 5 9 5 4 5 5 5 5 0 0 0 9\n5 1 0 0 0 5 5 5 5 5 5 0 5\n5 5 0 5 4 5 5 5 5 4 4 0 4\n5 5 0 5 4 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5\n\nExample 3:\n\nInput:\n5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 1 5 5 5 5 5 5\n5 5 0 0 0 0 0 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 0 5 5 5 5\n5 5 5 5 5 5 5 5 0 5 5 5 5\n5 1 0 4 5 5 5 5 0 5 5 5 5\n5 9 0 5 5 5 5 5 0 5 5 5 5\n5 5 0 4 5 5 5 5 0 1 5 5 5\n5 9 0 5 5 5 5 5 5 5 5 5 5\n5 5 0 4 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5\nOutput:\n5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 9 5 9 1 5 5 5 5 5 5\n5 5 0 0 0 0 0 5 5 5 5 5 5\n5 5 4 5 4 5 4 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 4 0 5 5 5 5\n5 5 5 5 5 5 5 5 0 9 5 5 5\n5 1 0 4 5 5 5 4 0 5 5 5 5\n5 9 0 5 5 5 5 5 0 9 5 5 5\n5 5 0 4 5 5 5 4 0 1 5 5 5\n5 9 0 5 5 5 5 5 5 5 5 5 5\n5 5 0 4 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 0 0 1 5 5 5 5 5 5 5 5\n5 5 5 0 5 0 5 5 5 5 5 5 5 5\n5 5 5 5 0 0 5 5 5 0 0 5 5 5\n5 5 5 5 5 5 5 5 5 0 5 0 5 5\n5 5 5 5 5 5 5 5 5 1 0 0 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 4 9 5 5 5 5 5 5 5 5\n5 5 5 1 0 0 5 5 5 5 5 5 5 5\n5 5 4 0 5 0 5 5 5 5 0 0 5 5\n5 5 9 0 0 5 5 5 5 0 5 0 5 5\n5 5 5 5 5 5 5 5 5 0 0 1 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5\n", "answer": "5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 9 4 5 5 5 5 5 5 5 5 5\n5 5 5 0 0 1 5 5 5 5 5 5 5 5\n5 5 5 0 5 0 4 5 5 5 5 5 5 5\n5 5 5 5 0 0 9 5 9 0 0 5 5 5\n5 5 5 5 5 5 5 5 4 0 5 0 5 5\n5 5 5 5 5 5 5 5 5 1 0 0 5 5\n5 5 5 5 5 5 5 5 5 5 4 9 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 4 9 5 5 5 5 5 5 5 5\n5 5 5 1 0 0 5 5 5 5 5 5 5 5\n5 5 4 0 5 0 5 5 5 5 0 0 9 5\n5 5 9 0 0 5 5 5 5 0 5 0 4 5\n5 5 5 5 5 5 5 5 5 0 0 1 5 5\n5 5 5 5 5 5 5 5 5 9 4 5 5 5", "metadata": {"source_dataset": "arc_agi", "source_index": 224, "input": [[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 0, 0, 1, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 0, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 0, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 0, 0, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 4, 9, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 1, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 4, 0, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5], [5, 5, 9, 0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 1, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]], "output": [[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 9, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 0, 0, 1, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 0, 5, 0, 4, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 0, 0, 9, 5, 9, 0, 0, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 4, 0, 5, 0, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 0, 0, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 9, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 4, 9, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 1, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 4, 0, 5, 0, 5, 5, 5, 5, 0, 0, 9, 5], [5, 5, 9, 0, 0, 5, 5, 5, 5, 0, 5, 0, 4, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 1, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 4, 5, 5, 5]], "task_id": "36d67576", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 224, "input": [[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 0, 0, 1, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 0, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 0, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 0, 0, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 4, 9, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 1, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 4, 0, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5], [5, 5, 9, 0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 1, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]], "output": [[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 9, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 0, 0, 1, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 0, 5, 0, 4, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 0, 0, 9, 5, 9, 0, 0, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 4, 0, 5, 0, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 0, 0, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 9, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 4, 9, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 1, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 4, 0, 5, 0, 5, 5, 5, 5, 0, 0, 9, 5], [5, 5, 9, 0, 0, 5, 5, 5, 5, 0, 5, 0, 4, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 1, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 4, 5, 5, 5]], "task_id": "36d67576", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null
General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 9 9 5 5 5 5 5 5 5 6 6 5 5 5 9 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 5 5 5 5 5 5 5 5 5 5 5 5 7 7 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 Output: 6 6 9 9 6 5 5 9 7 5 5 4 7 7 4 4 Example 2: Input: 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 9 5 5 5 5 5 5 5 5 5 5 5 9 9 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 0 5 5 5 5 5 5 5 5 5 5 5 5 0 0 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 Output: 4 4 6 6 4 5 5 6 0 5 5 9 0 0 9 9 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 9 9 5 5 5 5 5 5 5 5 5 5 5 5 9 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 0 5 5 5 5 5 2 2 5 5 5 5 0 0 5 5 5 5 5 2 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "2 2 9 9\n2 5 5 9\n4 5 5 0\n4 4 0 0", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 9 9 5\n5 5 5 5 5 5 6 6 5 5 5 9 5\n5 5 5 5 5 5 6 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 7 5 5 5 5 5 5 5 5 5 5\n5 5 7 7 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 4 5 5 5\n5 5 5 5 5 5 5 5 4 4 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5\nOutput:\n6 6 9 9\n6 5 5 9\n7 5 5 4\n7 7 4 4\n\nExample 2:\n\nInput:\n5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 4 4 5 5 5 5 5 5 5\n5 5 5 5 4 5 5 5 5 5 5 9 5\n5 5 5 5 5 5 5 5 5 5 9 9 5\n5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 0 5 5 5 5 5 5 5 5 5 5\n5 5 0 0 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 6 6 5 5 5\n5 5 5 5 5 5 5 5 5 6 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5\nOutput:\n4 4 6 6\n4 5 5 6\n0 5 5 9\n0 0 9 9\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 9 9 5 5\n5 5 5 5 5 5 5 5 5 5 9 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 4 5 5 5 5 5 5 5\n5 5 5 5 5 4 4 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 0 5 5 5 5 5 2 2 5 5\n5 5 0 0 5 5 5 5 5 2 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5\n", "answer": "2 2 9 9\n2 5 5 9\n4 5 5 0\n4 4 0 0", "metadata": {"source_dataset": "arc_agi", "source_index": 225, "input": [[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 0, 5, 5, 5, 5, 5, 2, 2, 5, 5], [5, 5, 0, 0, 5, 5, 5, 5, 5, 2, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]], "output": [[2, 2, 9, 9], [2, 5, 5, 9], [4, 5, 5, 0], [4, 4, 0, 0]], "task_id": "a61ba2ce", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 225, "input": [[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 0, 5, 5, 5, 5, 5, 2, 2, 5, 5], [5, 5, 0, 0, 5, 5, 5, 5, 5, 2, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]], "output": [[2, 2, 9, 9], [2, 5, 5, 9], [4, 5, 5, 0], [4, 4, 0, 0]], "task_id": "a61ba2ce", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
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General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 8 1 8 8 9 9 6 6 4 4 5 5 1 1 8 8 9 9 6 6 4 1 8 1 1 8 8 8 9 9 9 6 6 6 4 4 4 5 5 5 1 1 8 1 8 1 1 1 8 8 8 8 9 9 9 9 6 6 6 6 4 4 4 8 1 1 8 1 1 1 1 8 8 8 8 8 9 9 9 9 9 6 6 6 9 8 1 1 8 1 1 1 1 1 8 0 0 0 8 8 9 9 9 9 9 9 8 1 1 1 8 1 1 1 1 1 0 0 0 8 8 8 8 8 9 9 6 8 8 1 1 1 8 1 1 1 1 1 1 1 8 8 8 8 8 8 8 6 9 8 1 1 1 1 8 0 0 0 1 1 1 1 1 8 8 8 8 8 4 9 8 8 1 1 1 1 0 0 0 1 1 1 1 1 1 1 8 8 8 4 9 8 8 1 1 1 1 0 0 0 1 1 1 1 1 1 1 1 1 8 5 6 9 8 8 1 1 1 1 1 8 1 1 1 1 1 1 1 1 1 1 5 6 9 8 8 1 1 1 1 1 0 0 0 0 0 0 0 1 1 1 1 1 6 9 8 8 8 1 1 1 1 0 0 0 0 0 0 0 1 1 1 1 1 4 9 9 8 8 1 1 1 1 1 1 0 0 0 0 0 1 1 1 1 8 4 6 9 8 8 8 1 1 1 1 1 0 0 0 0 0 1 1 1 1 8 4 6 9 8 8 8 1 1 1 1 1 1 1 1 8 1 1 1 1 1 9 5 6 9 9 8 8 8 1 1 1 1 1 1 1 1 8 1 1 1 1 9 5 6 9 9 8 8 8 1 1 1 1 1 1 1 1 1 8 1 1 1 6 5 4 6 9 8 8 8 8 1 0 0 0 0 1 1 1 1 8 1 1 6 1 4 6 9 9 8 8 8 1 0 0 0 0 1 1 1 1 1 8 1 4 1 4 6 9 9 8 8 8 8 1 1 1 1 1 1 1 1 1 1 8 Output: 8 1 8 8 9 9 6 6 4 4 5 5 1 1 8 8 9 9 6 6 4 1 8 1 1 8 8 8 9 9 9 6 6 6 4 4 4 5 5 5 1 1 8 1 8 1 1 1 8 8 8 8 9 9 9 9 6 6 6 6 4 4 4 8 1 1 8 1 1 1 1 8 8 8 8 8 9 9 9 9 9 6 6 6 9 8 1 1 8 1 1 1 1 1 8 8 8 8 8 8 9 9 9 9 9 9 8 1 1 1 8 1 1 1 1 1 1 8 8 8 8 8 8 8 9 9 6 8 8 1 1 1 8 1 1 1 1 1 1 1 8 8 8 8 8 8 8 6 9 8 1 1 1 1 8 1 1 1 1 1 1 1 1 8 8 8 8 8 4 9 8 8 1 1 1 1 8 1 1 1 1 1 1 1 1 1 8 8 8 4 9 8 8 1 1 1 1 1 8 1 1 1 1 1 1 1 1 1 1 8 5 6 9 8 8 1 1 1 1 1 8 1 1 1 1 1 1 1 1 1 1 5 6 9 8 8 1 1 1 1 1 1 8 1 1 1 1 1 1 1 1 1 1 6 9 8 8 8 1 1 1 1 1 1 8 1 1 1 1 1 1 1 1 1 4 9 9 8 8 1 1 1 1 1 1 1 8 1 1 1 1 1 1 1 8 4 6 9 8 8 8 1 1 1 1 1 1 1 8 1 1 1 1 1 1 8 4 6 9 8 8 8 1 1 1 1 1 1 1 1 8 1 1 1 1 1 9 5 6 9 9 8 8 8 1 1 1 1 1 1 1 1 8 1 1 1 1 9 5 6 9 9 8 8 8 1 1 1 1 1 1 1 1 1 8 1 1 1 6 5 4 6 9 8 8 8 8 1 1 1 1 1 1 1 1 1 8 1 1 6 1 4 6 9 9 8 8 8 1 1 1 1 1 1 1 1 1 1 8 1 4 1 4 6 9 9 8 8 8 8 1 1 1 1 1 1 1 1 1 1 8 Example 2: Input: 1 5 1 1 3 3 8 8 9 9 6 6 4 4 5 5 1 1 3 3 8 5 1 5 5 1 1 1 3 3 3 8 8 8 9 9 9 6 6 6 4 4 1 5 1 5 5 5 1 1 1 1 3 3 3 3 8 8 8 8 9 9 9 1 5 5 0 0 0 5 5 1 1 1 1 1 3 3 3 3 3 8 8 8 3 1 5 0 0 0 5 5 5 5 1 1 1 1 1 1 3 3 3 3 3 3 1 5 0 0 0 5 5 5 5 5 5 1 1 1 1 1 1 1 3 3 8 1 1 0 0 0 1 5 5 0 0 0 5 5 1 1 1 1 1 1 1 8 3 1 0 0 0 5 1 5 0 0 0 5 5 5 5 1 1 1 1 1 9 3 1 1 5 5 5 5 1 0 0 0 0 0 0 0 0 5 1 1 1 9 3 1 1 5 5 5 5 5 1 5 5 0 0 0 0 0 5 5 5 1 6 8 3 1 1 5 5 5 5 5 1 5 5 5 5 5 5 5 5 5 5 6 8 3 1 1 5 5 5 5 5 5 1 5 5 5 5 5 5 5 5 5 4 8 3 1 1 1 5 5 5 5 5 5 1 5 5 5 5 5 5 5 5 4 9 3 3 1 1 5 5 5 5 5 5 5 1 5 5 5 5 5 5 5 5 9 0 0 0 0 1 5 5 5 5 5 5 5 1 5 5 5 5 5 5 5 9 0 0 0 0 1 5 5 5 5 5 5 5 5 1 5 5 5 5 5 1 6 8 3 3 1 1 1 5 5 5 5 5 5 5 5 1 5 5 5 5 1 6 8 3 3 1 1 1 0 0 0 0 5 5 5 5 5 1 5 5 5 3 6 9 8 3 1 1 1 0 0 0 0 5 5 5 5 5 5 1 5 5 3 4 9 8 3 3 1 1 1 5 5 5 5 5 5 5 5 5 5 1 5 8 4 9 8 3 3 1 1 1 1 5 5 5 5 5 5 5 5 5 5 1 Output: 1 5 1 1 3 3 8 8 9 9 6 6 4 4 5 5 1 1 3 3 8 5 1 5 5 1 1 1 3 3 3 8 8 8 9 9 9 6 6 6 4 4 1 5 1 5 5 5 1 1 1 1 3 3 3 3 8 8 8 8 9 9 9 1 5 5 1 5 5 5 5 1 1 1 1 1 3 3 3 3 3 8 8 8 3 1 5 5 1 5 5 5 5 5 1 1 1 1 1 1 3 3 3 3 3 3 1 5 5 5 1 5 5 5 5 5 5 1 1 1 1 1 1 1 3 3 8 1 1 5 5 5 1 5 5 5 5 5 5 5 1 1 1 1 1 1 1 8 3 1 5 5 5 5 1 5 5 5 5 5 5 5 5 1 1 1 1 1 9 3 1 1 5 5 5 5 1 5 5 5 5 5 5 5 5 5 1 1 1 9 3 1 1 5 5 5 5 5 1 5 5 5 5 5 5 5 5 5 5 1 6 8 3 1 1 5 5 5 5 5 1 5 5 5 5 5 5 5 5 5 5 6 8 3 1 1 5 5 5 5 5 5 1 5 5 5 5 5 5 5 5 5 4 8 3 1 1 1 5 5 5 5 5 5 1 5 5 5 5 5 5 5 5 4 9 3 3 1 1 5 5 5 5 5 5 5 1 5 5 5 5 5 5 5 5 9 8 3 1 1 1 5 5 5 5 5 5 5 1 5 5 5 5 5 5 5 9 8 3 1 1 1 5 5 5 5 5 5 5 5 1 5 5 5 5 5 1 6 8 3 3 1 1 1 5 5 5 5 5 5 5 5 1 5 5 5 5 1 6 8 3 3 1 1 1 5 5 5 5 5 5 5 5 5 1 5 5 5 3 6 9 8 3 1 1 1 1 5 5 5 5 5 5 5 5 5 1 5 5 3 4 9 8 3 3 1 1 1 5 5 5 5 5 5 5 5 5 5 1 5 8 4 9 8 3 3 1 1 1 1 5 5 5 5 5 5 5 5 5 5 1 Example 3: Input: 5 4 5 5 1 1 3 3 7 7 8 8 9 9 6 6 4 4 5 5 1 4 5 4 4 5 5 5 1 1 1 3 3 3 7 7 7 8 8 8 9 9 5 4 5 4 4 4 5 5 5 5 1 1 1 1 3 3 0 0 7 7 7 5 4 4 5 4 4 4 4 5 5 5 5 5 1 1 1 0 0 3 3 3 1 5 4 4 5 4 4 4 4 4 5 5 5 5 5 5 0 0 1 1 1 1 5 4 4 4 5 4 4 4 4 4 4 5 5 5 5 0 0 5 1 1 3 5 5 4 4 4 5 4 4 4 4 4 4 4 5 5 0 0 5 5 5 3 1 5 4 4 4 4 5 4 4 4 4 4 4 4 4 5 5 5 5 5 7 1 5 5 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 5 7 1 5 5 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 5 8 3 1 5 5 4 4 4 4 4 5 0 0 4 4 4 4 4 4 4 4 8 3 1 5 5 4 4 4 4 4 4 0 0 4 4 4 4 4 4 4 4 9 3 1 5 5 5 4 4 4 4 4 0 0 4 4 4 4 4 4 4 4 9 7 1 1 5 5 4 4 4 4 0 0 0 0 0 4 4 4 4 4 4 6 7 3 1 5 5 5 4 4 0 0 0 0 0 0 4 4 4 4 4 4 6 7 3 1 5 5 5 4 4 0 0 0 0 0 0 5 4 4 4 4 4 4 8 3 1 1 5 5 5 4 0 0 0 4 4 4 4 5 4 4 4 4 4 8 3 1 1 5 5 5 4 0 0 0 4 4 4 4 4 5 4 4 4 5 8 7 3 1 5 5 5 5 0 0 0 4 4 4 4 4 4 5 4 4 5 9 7 3 1 1 5 5 5 4 4 4 4 4 4 4 4 4 4 5 4 1 9 7 3 1 1 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 Output: 5 4 5 5 1 1 3 3 7 7 8 8 9 9 6 6 4 4 5 5 1 4 5 4 4 5 5 5 1 1 1 3 3 3 7 7 7 8 8 8 9 9 5 4 5 4 4 4 5 5 5 5 1 1 1 1 3 3 3 3 7 7 7 5 4 4 5 4 4 4 4 5 5 5 5 5 1 1 1 1 1 3 3 3 1 5 4 4 5 4 4 4 4 4 5 5 5 5 5 5 1 1 1 1 1 1 5 4 4 4 5 4 4 4 4 4 4 5 5 5 5 5 5 5 1 1 3 5 5 4 4 4 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 3 1 5 4 4 4 4 5 4 4 4 4 4 4 4 4 5 5 5 5 5 7 1 5 5 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 5 7 1 5 5 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 5 8 3 1 5 5 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 8 3 1 5 5 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 9 3 1 5 5 5 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 9 7 1 1 5 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 6 7 3 1 5 5 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4 6 7 3 1 5 5 5 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 8 3 1 1 5 5 5 4 4 4 4 4 4 4 4 5 4 4 4 4 4 8 3 1 1 5 5 5 4 4 4 4 4 4 4 4 4 5 4 4 4 5 8 7 3 1 5 5 5 5 4 4 4 4 4 4 4 4 4 5 4 4 5 9 7 3 1 1 5 5 5 4 4 4 4 4 4 4 4 4 4 5 4 1 9 7 3 1 1 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 4 6 4 4 5 5 1 1 3 3 7 7 2 2 8 8 9 9 6 6 4 6 4 6 6 4 4 4 5 5 5 0 0 1 3 3 3 7 7 7 2 2 4 6 4 6 6 6 4 4 4 4 0 0 5 5 1 1 1 1 3 3 3 4 6 6 4 6 6 6 6 4 4 0 0 4 5 5 5 5 5 1 1 1 5 4 6 6 4 6 6 6 6 6 0 0 4 4 4 4 5 5 5 5 5 5 4 6 6 6 4 6 6 6 6 0 0 4 4 4 4 4 4 4 5 5 1 4 4 6 6 6 4 6 6 6 6 6 6 6 4 4 4 4 4 4 4 1 5 4 6 6 6 6 4 6 6 6 6 6 6 6 6 4 4 4 4 4 0 0 0 0 0 6 6 6 4 6 6 6 6 6 6 6 6 6 4 4 4 0 0 0 0 0 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 4 7 1 5 4 4 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 7 1 5 4 4 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 2 1 5 4 4 4 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 2 3 5 5 4 4 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 8 3 1 5 4 4 4 6 6 6 6 6 6 6 4 6 6 6 6 6 6 8 3 1 5 0 0 0 0 0 6 6 6 6 6 6 0 0 0 0 0 6 9 7 1 5 0 0 0 0 0 6 6 6 6 6 6 0 0 0 0 0 6 9 7 1 5 0 0 0 0 0 6 6 6 6 6 6 6 6 4 6 6 6 6 7 3 1 5 4 4 4 4 6 6 6 0 0 0 0 0 6 4 6 6 6 2 3 1 5 5 4 4 4 6 6 6 0 0 0 0 0 6 6 4 6 4 2 3 1 5 5 4 4 4 4 6 6 6 6 6 6 6 6 6 6 4
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "4 6 4 4 5 5 1 1 3 3 7 7 2 2 8 8 9 9 6 6 4\n6 4 6 6 4 4 4 5 5 5 1 1 1 3 3 3 7 7 7 2 2\n4 6 4 6 6 6 4 4 4 4 5 5 5 5 1 1 1 1 3 3 3\n4 6 6 4 6 6 6 6 4 4 4 4 4 5 5 5 5 5 1 1 1\n5 4 6 6 4 6 6 6 6 6 4 4 4 4 4 4 5 5 5 5 5\n5 4 6 6 6 4 6 6 6 6 6 6 4 4 4 4 4 4 4 5 5\n1 4 4 6 6 6 4 6 6 6 6 6 6 6 4 4 4 4 4 4 4\n1 5 4 6 6 6 6 4 6 6 6 6 6 6 6 6 4 4 4 4 4\n3 5 4 4 6 6 6 6 4 6 6 6 6 6 6 6 6 6 4 4 4\n3 5 4 4 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 4\n7 1 5 4 4 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6\n7 1 5 4 4 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6\n2 1 5 4 4 4 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6\n2 3 5 5 4 4 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6\n8 3 1 5 4 4 4 6 6 6 6 6 6 6 4 6 6 6 6 6 6\n8 3 1 5 4 4 4 6 6 6 6 6 6 6 6 4 6 6 6 6 6\n9 7 1 5 5 4 4 4 6 6 6 6 6 6 6 6 4 6 6 6 6\n9 7 1 5 5 4 4 4 6 6 6 6 6 6 6 6 6 4 6 6 6\n6 7 3 1 5 4 4 4 4 6 6 6 6 6 6 6 6 6 4 6 6\n6 2 3 1 5 5 4 4 4 6 6 6 6 6 6 6 6 6 6 4 6\n4 2 3 1 5 5 4 4 4 4 6 6 6 6 6 6 6 6 6 6 4", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n8 1 8 8 9 9 6 6 4 4 5 5 1 1 8 8 9 9 6 6 4\n1 8 1 1 8 8 8 9 9 9 6 6 6 4 4 4 5 5 5 1 1\n8 1 8 1 1 1 8 8 8 8 9 9 9 9 6 6 6 6 4 4 4\n8 1 1 8 1 1 1 1 8 8 8 8 8 9 9 9 9 9 6 6 6\n9 8 1 1 8 1 1 1 1 1 8 0 0 0 8 8 9 9 9 9 9\n9 8 1 1 1 8 1 1 1 1 1 0 0 0 8 8 8 8 8 9 9\n6 8 8 1 1 1 8 1 1 1 1 1 1 1 8 8 8 8 8 8 8\n6 9 8 1 1 1 1 8 0 0 0 1 1 1 1 1 8 8 8 8 8\n4 9 8 8 1 1 1 1 0 0 0 1 1 1 1 1 1 1 8 8 8\n4 9 8 8 1 1 1 1 0 0 0 1 1 1 1 1 1 1 1 1 8\n5 6 9 8 8 1 1 1 1 1 8 1 1 1 1 1 1 1 1 1 1\n5 6 9 8 8 1 1 1 1 1 0 0 0 0 0 0 0 1 1 1 1\n1 6 9 8 8 8 1 1 1 1 0 0 0 0 0 0 0 1 1 1 1\n1 4 9 9 8 8 1 1 1 1 1 1 0 0 0 0 0 1 1 1 1\n8 4 6 9 8 8 8 1 1 1 1 1 0 0 0 0 0 1 1 1 1\n8 4 6 9 8 8 8 1 1 1 1 1 1 1 1 8 1 1 1 1 1\n9 5 6 9 9 8 8 8 1 1 1 1 1 1 1 1 8 1 1 1 1\n9 5 6 9 9 8 8 8 1 1 1 1 1 1 1 1 1 8 1 1 1\n6 5 4 6 9 8 8 8 8 1 0 0 0 0 1 1 1 1 8 1 1\n6 1 4 6 9 9 8 8 8 1 0 0 0 0 1 1 1 1 1 8 1\n4 1 4 6 9 9 8 8 8 8 1 1 1 1 1 1 1 1 1 1 8\nOutput:\n8 1 8 8 9 9 6 6 4 4 5 5 1 1 8 8 9 9 6 6 4\n1 8 1 1 8 8 8 9 9 9 6 6 6 4 4 4 5 5 5 1 1\n8 1 8 1 1 1 8 8 8 8 9 9 9 9 6 6 6 6 4 4 4\n8 1 1 8 1 1 1 1 8 8 8 8 8 9 9 9 9 9 6 6 6\n9 8 1 1 8 1 1 1 1 1 8 8 8 8 8 8 9 9 9 9 9\n9 8 1 1 1 8 1 1 1 1 1 1 8 8 8 8 8 8 8 9 9\n6 8 8 1 1 1 8 1 1 1 1 1 1 1 8 8 8 8 8 8 8\n6 9 8 1 1 1 1 8 1 1 1 1 1 1 1 1 8 8 8 8 8\n4 9 8 8 1 1 1 1 8 1 1 1 1 1 1 1 1 1 8 8 8\n4 9 8 8 1 1 1 1 1 8 1 1 1 1 1 1 1 1 1 1 8\n5 6 9 8 8 1 1 1 1 1 8 1 1 1 1 1 1 1 1 1 1\n5 6 9 8 8 1 1 1 1 1 1 8 1 1 1 1 1 1 1 1 1\n1 6 9 8 8 8 1 1 1 1 1 1 8 1 1 1 1 1 1 1 1\n1 4 9 9 8 8 1 1 1 1 1 1 1 8 1 1 1 1 1 1 1\n8 4 6 9 8 8 8 1 1 1 1 1 1 1 8 1 1 1 1 1 1\n8 4 6 9 8 8 8 1 1 1 1 1 1 1 1 8 1 1 1 1 1\n9 5 6 9 9 8 8 8 1 1 1 1 1 1 1 1 8 1 1 1 1\n9 5 6 9 9 8 8 8 1 1 1 1 1 1 1 1 1 8 1 1 1\n6 5 4 6 9 8 8 8 8 1 1 1 1 1 1 1 1 1 8 1 1\n6 1 4 6 9 9 8 8 8 1 1 1 1 1 1 1 1 1 1 8 1\n4 1 4 6 9 9 8 8 8 8 1 1 1 1 1 1 1 1 1 1 8\n\nExample 2:\n\nInput:\n1 5 1 1 3 3 8 8 9 9 6 6 4 4 5 5 1 1 3 3 8\n5 1 5 5 1 1 1 3 3 3 8 8 8 9 9 9 6 6 6 4 4\n1 5 1 5 5 5 1 1 1 1 3 3 3 3 8 8 8 8 9 9 9\n1 5 5 0 0 0 5 5 1 1 1 1 1 3 3 3 3 3 8 8 8\n3 1 5 0 0 0 5 5 5 5 1 1 1 1 1 1 3 3 3 3 3\n3 1 5 0 0 0 5 5 5 5 5 5 1 1 1 1 1 1 1 3 3\n8 1 1 0 0 0 1 5 5 0 0 0 5 5 1 1 1 1 1 1 1\n8 3 1 0 0 0 5 1 5 0 0 0 5 5 5 5 1 1 1 1 1\n9 3 1 1 5 5 5 5 1 0 0 0 0 0 0 0 0 5 1 1 1\n9 3 1 1 5 5 5 5 5 1 5 5 0 0 0 0 0 5 5 5 1\n6 8 3 1 1 5 5 5 5 5 1 5 5 5 5 5 5 5 5 5 5\n6 8 3 1 1 5 5 5 5 5 5 1 5 5 5 5 5 5 5 5 5\n4 8 3 1 1 1 5 5 5 5 5 5 1 5 5 5 5 5 5 5 5\n4 9 3 3 1 1 5 5 5 5 5 5 5 1 5 5 5 5 5 5 5\n5 9 0 0 0 0 1 5 5 5 5 5 5 5 1 5 5 5 5 5 5\n5 9 0 0 0 0 1 5 5 5 5 5 5 5 5 1 5 5 5 5 5\n1 6 8 3 3 1 1 1 5 5 5 5 5 5 5 5 1 5 5 5 5\n1 6 8 3 3 1 1 1 0 0 0 0 5 5 5 5 5 1 5 5 5\n3 6 9 8 3 1 1 1 0 0 0 0 5 5 5 5 5 5 1 5 5\n3 4 9 8 3 3 1 1 1 5 5 5 5 5 5 5 5 5 5 1 5\n8 4 9 8 3 3 1 1 1 1 5 5 5 5 5 5 5 5 5 5 1\nOutput:\n1 5 1 1 3 3 8 8 9 9 6 6 4 4 5 5 1 1 3 3 8\n5 1 5 5 1 1 1 3 3 3 8 8 8 9 9 9 6 6 6 4 4\n1 5 1 5 5 5 1 1 1 1 3 3 3 3 8 8 8 8 9 9 9\n1 5 5 1 5 5 5 5 1 1 1 1 1 3 3 3 3 3 8 8 8\n3 1 5 5 1 5 5 5 5 5 1 1 1 1 1 1 3 3 3 3 3\n3 1 5 5 5 1 5 5 5 5 5 5 1 1 1 1 1 1 1 3 3\n8 1 1 5 5 5 1 5 5 5 5 5 5 5 1 1 1 1 1 1 1\n8 3 1 5 5 5 5 1 5 5 5 5 5 5 5 5 1 1 1 1 1\n9 3 1 1 5 5 5 5 1 5 5 5 5 5 5 5 5 5 1 1 1\n9 3 1 1 5 5 5 5 5 1 5 5 5 5 5 5 5 5 5 5 1\n6 8 3 1 1 5 5 5 5 5 1 5 5 5 5 5 5 5 5 5 5\n6 8 3 1 1 5 5 5 5 5 5 1 5 5 5 5 5 5 5 5 5\n4 8 3 1 1 1 5 5 5 5 5 5 1 5 5 5 5 5 5 5 5\n4 9 3 3 1 1 5 5 5 5 5 5 5 1 5 5 5 5 5 5 5\n5 9 8 3 1 1 1 5 5 5 5 5 5 5 1 5 5 5 5 5 5\n5 9 8 3 1 1 1 5 5 5 5 5 5 5 5 1 5 5 5 5 5\n1 6 8 3 3 1 1 1 5 5 5 5 5 5 5 5 1 5 5 5 5\n1 6 8 3 3 1 1 1 5 5 5 5 5 5 5 5 5 1 5 5 5\n3 6 9 8 3 1 1 1 1 5 5 5 5 5 5 5 5 5 1 5 5\n3 4 9 8 3 3 1 1 1 5 5 5 5 5 5 5 5 5 5 1 5\n8 4 9 8 3 3 1 1 1 1 5 5 5 5 5 5 5 5 5 5 1\n\nExample 3:\n\nInput:\n5 4 5 5 1 1 3 3 7 7 8 8 9 9 6 6 4 4 5 5 1\n4 5 4 4 5 5 5 1 1 1 3 3 3 7 7 7 8 8 8 9 9\n5 4 5 4 4 4 5 5 5 5 1 1 1 1 3 3 0 0 7 7 7\n5 4 4 5 4 4 4 4 5 5 5 5 5 1 1 1 0 0 3 3 3\n1 5 4 4 5 4 4 4 4 4 5 5 5 5 5 5 0 0 1 1 1\n1 5 4 4 4 5 4 4 4 4 4 4 5 5 5 5 0 0 5 1 1\n3 5 5 4 4 4 5 4 4 4 4 4 4 4 5 5 0 0 5 5 5\n3 1 5 4 4 4 4 5 4 4 4 4 4 4 4 4 5 5 5 5 5\n7 1 5 5 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 5\n7 1 5 5 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 5\n8 3 1 5 5 4 4 4 4 4 5 0 0 4 4 4 4 4 4 4 4\n8 3 1 5 5 4 4 4 4 4 4 0 0 4 4 4 4 4 4 4 4\n9 3 1 5 5 5 4 4 4 4 4 0 0 4 4 4 4 4 4 4 4\n9 7 1 1 5 5 4 4 4 4 0 0 0 0 0 4 4 4 4 4 4\n6 7 3 1 5 5 5 4 4 0 0 0 0 0 0 4 4 4 4 4 4\n6 7 3 1 5 5 5 4 4 0 0 0 0 0 0 5 4 4 4 4 4\n4 8 3 1 1 5 5 5 4 0 0 0 4 4 4 4 5 4 4 4 4\n4 8 3 1 1 5 5 5 4 0 0 0 4 4 4 4 4 5 4 4 4\n5 8 7 3 1 5 5 5 5 0 0 0 4 4 4 4 4 4 5 4 4\n5 9 7 3 1 1 5 5 5 4 4 4 4 4 4 4 4 4 4 5 4\n1 9 7 3 1 1 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5\nOutput:\n5 4 5 5 1 1 3 3 7 7 8 8 9 9 6 6 4 4 5 5 1\n4 5 4 4 5 5 5 1 1 1 3 3 3 7 7 7 8 8 8 9 9\n5 4 5 4 4 4 5 5 5 5 1 1 1 1 3 3 3 3 7 7 7\n5 4 4 5 4 4 4 4 5 5 5 5 5 1 1 1 1 1 3 3 3\n1 5 4 4 5 4 4 4 4 4 5 5 5 5 5 5 1 1 1 1 1\n1 5 4 4 4 5 4 4 4 4 4 4 5 5 5 5 5 5 5 1 1\n3 5 5 4 4 4 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5\n3 1 5 4 4 4 4 5 4 4 4 4 4 4 4 4 5 5 5 5 5\n7 1 5 5 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 5\n7 1 5 5 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 5\n8 3 1 5 5 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4\n8 3 1 5 5 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4\n9 3 1 5 5 5 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4\n9 7 1 1 5 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4\n6 7 3 1 5 5 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4\n6 7 3 1 5 5 5 4 4 4 4 4 4 4 4 5 4 4 4 4 4\n4 8 3 1 1 5 5 5 4 4 4 4 4 4 4 4 5 4 4 4 4\n4 8 3 1 1 5 5 5 4 4 4 4 4 4 4 4 4 5 4 4 4\n5 8 7 3 1 5 5 5 5 4 4 4 4 4 4 4 4 4 5 4 4\n5 9 7 3 1 1 5 5 5 4 4 4 4 4 4 4 4 4 4 5 4\n1 9 7 3 1 1 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n4 6 4 4 5 5 1 1 3 3 7 7 2 2 8 8 9 9 6 6 4\n6 4 6 6 4 4 4 5 5 5 0 0 1 3 3 3 7 7 7 2 2\n4 6 4 6 6 6 4 4 4 4 0 0 5 5 1 1 1 1 3 3 3\n4 6 6 4 6 6 6 6 4 4 0 0 4 5 5 5 5 5 1 1 1\n5 4 6 6 4 6 6 6 6 6 0 0 4 4 4 4 5 5 5 5 5\n5 4 6 6 6 4 6 6 6 6 0 0 4 4 4 4 4 4 4 5 5\n1 4 4 6 6 6 4 6 6 6 6 6 6 6 4 4 4 4 4 4 4\n1 5 4 6 6 6 6 4 6 6 6 6 6 6 6 6 4 4 4 4 4\n0 0 0 0 0 6 6 6 4 6 6 6 6 6 6 6 6 6 4 4 4\n0 0 0 0 0 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 4\n7 1 5 4 4 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6\n7 1 5 4 4 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6\n2 1 5 4 4 4 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6\n2 3 5 5 4 4 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6\n8 3 1 5 4 4 4 6 6 6 6 6 6 6 4 6 6 6 6 6 6\n8 3 1 5 0 0 0 0 0 6 6 6 6 6 6 0 0 0 0 0 6\n9 7 1 5 0 0 0 0 0 6 6 6 6 6 6 0 0 0 0 0 6\n9 7 1 5 0 0 0 0 0 6 6 6 6 6 6 6 6 4 6 6 6\n6 7 3 1 5 4 4 4 4 6 6 6 0 0 0 0 0 6 4 6 6\n6 2 3 1 5 5 4 4 4 6 6 6 0 0 0 0 0 6 6 4 6\n4 2 3 1 5 5 4 4 4 4 6 6 6 6 6 6 6 6 6 6 4\n", "answer": "4 6 4 4 5 5 1 1 3 3 7 7 2 2 8 8 9 9 6 6 4\n6 4 6 6 4 4 4 5 5 5 1 1 1 3 3 3 7 7 7 2 2\n4 6 4 6 6 6 4 4 4 4 5 5 5 5 1 1 1 1 3 3 3\n4 6 6 4 6 6 6 6 4 4 4 4 4 5 5 5 5 5 1 1 1\n5 4 6 6 4 6 6 6 6 6 4 4 4 4 4 4 5 5 5 5 5\n5 4 6 6 6 4 6 6 6 6 6 6 4 4 4 4 4 4 4 5 5\n1 4 4 6 6 6 4 6 6 6 6 6 6 6 4 4 4 4 4 4 4\n1 5 4 6 6 6 6 4 6 6 6 6 6 6 6 6 4 4 4 4 4\n3 5 4 4 6 6 6 6 4 6 6 6 6 6 6 6 6 6 4 4 4\n3 5 4 4 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 4\n7 1 5 4 4 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6\n7 1 5 4 4 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6\n2 1 5 4 4 4 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6\n2 3 5 5 4 4 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6\n8 3 1 5 4 4 4 6 6 6 6 6 6 6 4 6 6 6 6 6 6\n8 3 1 5 4 4 4 6 6 6 6 6 6 6 6 4 6 6 6 6 6\n9 7 1 5 5 4 4 4 6 6 6 6 6 6 6 6 4 6 6 6 6\n9 7 1 5 5 4 4 4 6 6 6 6 6 6 6 6 6 4 6 6 6\n6 7 3 1 5 4 4 4 4 6 6 6 6 6 6 6 6 6 4 6 6\n6 2 3 1 5 5 4 4 4 6 6 6 6 6 6 6 6 6 6 4 6\n4 2 3 1 5 5 4 4 4 4 6 6 6 6 6 6 6 6 6 6 4", "metadata": {"source_dataset": "arc_agi", "source_index": 226, "input": [[4, 6, 4, 4, 5, 5, 1, 1, 3, 3, 7, 7, 2, 2, 8, 8, 9, 9, 6, 6, 4], [6, 4, 6, 6, 4, 4, 4, 5, 5, 5, 0, 0, 1, 3, 3, 3, 7, 7, 7, 2, 2], [4, 6, 4, 6, 6, 6, 4, 4, 4, 4, 0, 0, 5, 5, 1, 1, 1, 1, 3, 3, 3], [4, 6, 6, 4, 6, 6, 6, 6, 4, 4, 0, 0, 4, 5, 5, 5, 5, 5, 1, 1, 1], [5, 4, 6, 6, 4, 6, 6, 6, 6, 6, 0, 0, 4, 4, 4, 4, 5, 5, 5, 5, 5], [5, 4, 6, 6, 6, 4, 6, 6, 6, 6, 0, 0, 4, 4, 4, 4, 4, 4, 4, 5, 5], [1, 4, 4, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4], [1, 5, 4, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4], [0, 0, 0, 0, 0, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4], [7, 1, 5, 4, 4, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [7, 1, 5, 4, 4, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6], [2, 1, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6], [2, 3, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6], [8, 3, 1, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6], [8, 3, 1, 5, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6], [9, 7, 1, 5, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6], [9, 7, 1, 5, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6], [6, 7, 3, 1, 5, 4, 4, 4, 4, 6, 6, 6, 0, 0, 0, 0, 0, 6, 4, 6, 6], [6, 2, 3, 1, 5, 5, 4, 4, 4, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 4, 6], [4, 2, 3, 1, 5, 5, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4]], "output": [[4, 6, 4, 4, 5, 5, 1, 1, 3, 3, 7, 7, 2, 2, 8, 8, 9, 9, 6, 6, 4], [6, 4, 6, 6, 4, 4, 4, 5, 5, 5, 1, 1, 1, 3, 3, 3, 7, 7, 7, 2, 2], [4, 6, 4, 6, 6, 6, 4, 4, 4, 4, 5, 5, 5, 5, 1, 1, 1, 1, 3, 3, 3], [4, 6, 6, 4, 6, 6, 6, 6, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 1, 1, 1], [5, 4, 6, 6, 4, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5], [5, 4, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 5, 5], [1, 4, 4, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4], [1, 5, 4, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4], [3, 5, 4, 4, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4], [3, 5, 4, 4, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4], [7, 1, 5, 4, 4, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [7, 1, 5, 4, 4, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6], [2, 1, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6], [2, 3, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6], [8, 3, 1, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6], [8, 3, 1, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6], [9, 7, 1, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6], [9, 7, 1, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6], [6, 7, 3, 1, 5, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6], [6, 2, 3, 1, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6], [4, 2, 3, 1, 5, 5, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4]], "task_id": "73251a56", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 226, "input": [[4, 6, 4, 4, 5, 5, 1, 1, 3, 3, 7, 7, 2, 2, 8, 8, 9, 9, 6, 6, 4], [6, 4, 6, 6, 4, 4, 4, 5, 5, 5, 0, 0, 1, 3, 3, 3, 7, 7, 7, 2, 2], [4, 6, 4, 6, 6, 6, 4, 4, 4, 4, 0, 0, 5, 5, 1, 1, 1, 1, 3, 3, 3], [4, 6, 6, 4, 6, 6, 6, 6, 4, 4, 0, 0, 4, 5, 5, 5, 5, 5, 1, 1, 1], [5, 4, 6, 6, 4, 6, 6, 6, 6, 6, 0, 0, 4, 4, 4, 4, 5, 5, 5, 5, 5], [5, 4, 6, 6, 6, 4, 6, 6, 6, 6, 0, 0, 4, 4, 4, 4, 4, 4, 4, 5, 5], [1, 4, 4, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4], [1, 5, 4, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4], [0, 0, 0, 0, 0, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4], [7, 1, 5, 4, 4, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [7, 1, 5, 4, 4, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6], [2, 1, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6], [2, 3, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6], [8, 3, 1, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6], [8, 3, 1, 5, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6], [9, 7, 1, 5, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6], [9, 7, 1, 5, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6], [6, 7, 3, 1, 5, 4, 4, 4, 4, 6, 6, 6, 0, 0, 0, 0, 0, 6, 4, 6, 6], [6, 2, 3, 1, 5, 5, 4, 4, 4, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 4, 6], [4, 2, 3, 1, 5, 5, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4]], "output": [[4, 6, 4, 4, 5, 5, 1, 1, 3, 3, 7, 7, 2, 2, 8, 8, 9, 9, 6, 6, 4], [6, 4, 6, 6, 4, 4, 4, 5, 5, 5, 1, 1, 1, 3, 3, 3, 7, 7, 7, 2, 2], [4, 6, 4, 6, 6, 6, 4, 4, 4, 4, 5, 5, 5, 5, 1, 1, 1, 1, 3, 3, 3], [4, 6, 6, 4, 6, 6, 6, 6, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 1, 1, 1], [5, 4, 6, 6, 4, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5], [5, 4, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 5, 5], [1, 4, 4, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4], [1, 5, 4, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4], [3, 5, 4, 4, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4], [3, 5, 4, 4, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4], [7, 1, 5, 4, 4, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [7, 1, 5, 4, 4, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6], [2, 1, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6], [2, 3, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6], [8, 3, 1, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6], [8, 3, 1, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6], [9, 7, 1, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6], [9, 7, 1, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6], [6, 7, 3, 1, 5, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6], [6, 2, 3, 1, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6], [4, 2, 3, 1, 5, 5, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4]], "task_id": "73251a56", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
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General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 2 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 2 2 2 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 2 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 Output: 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 2 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 2 2 2 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 2 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 1 1 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 4 4 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 Example 2: Input: 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 4 8 8 8 8 8 8 8 2 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 2 2 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 2 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 6 6 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 6 6 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 Output: 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 4 4 8 8 8 8 8 8 2 8 8 8 8 8 8 8 8 4 8 8 8 8 8 8 8 8 7 2 2 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 2 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 6 6 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 6 6 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 8 8 8 8 8 8 8 8 8 8 8 8 6 6 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 6 6 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 Example 3: Input: 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 8 8 8 8 8 8 8 8 8 8 9 4 4 8 8 8 8 8 8 8 8 8 8 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 6 6 8 8 8 8 8 8 8 8 9 9 6 6 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 Output: 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 8 8 8 8 8 8 8 8 8 8 9 4 4 8 8 8 8 8 8 8 8 8 8 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 6 6 8 8 8 8 8 8 8 8 8 8 6 6 8 8 8 8 8 8 8 8 9 9 6 6 6 6 8 8 8 8 8 8 9 9 6 6 6 6 8 8 8 8 8 8 8 8 6 6 8 8 8 8 8 8 8 8 8 8 6 6 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 Example 4: Input: 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 6 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 2 2 2 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 2 2 2 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 2 2 2 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 6 6 6 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 6 6 6 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 6 6 6 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 Output: 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 6 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 2 2 2 2 2 2 2 2 2 8 8 8 8 8 8 8 8 8 2 2 2 2 2 2 2 2 2 8 8 8 8 8 8 8 8 8 2 2 2 2 2 2 2 2 2 8 8 8 8 8 8 8 8 8 2 2 2 6 6 6 2 2 2 8 8 8 8 8 8 8 8 8 2 2 2 6 6 6 2 2 2 8 8 8 8 8 8 8 8 8 2 2 2 6 6 6 2 2 2 8 8 8 8 8 8 8 8 8 2 2 2 8 8 8 2 2 2 8 8 8 8 8 8 8 8 8 2 2 2 8 8 8 2 2 2 8 8 8 8 8 8 8 8 8 2 2 2 8 8 8 2 2 2 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 2 2 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 6 6 6 8 8 8 8 2 9 2 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 6 6 6 8 8 8 8 8 2 2 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 6 6 6 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "8 8 8 8 8 8 8 8 8 8 8 6 6 6 6 6 6 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 6 6 6 6 6 6 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 6 6 6 6 6 6 8 8 8 8 8 8 8 2 2 8 8 8 8\n8 7 7 7 7 7 7 7 7 8 8 6 6 6 9 9 9 6 6 6 8 8 8 8 2 9 2 8 8 8\n8 7 7 7 7 7 7 7 7 8 8 6 6 6 9 9 9 6 6 6 8 8 8 8 8 2 2 8 8 8\n8 7 7 7 7 7 7 7 7 8 8 6 6 6 9 9 9 6 6 6 8 8 8 8 8 8 8 8 8 8\n8 7 7 7 7 7 7 7 7 8 8 8 8 8 6 6 6 6 6 6 8 8 8 8 8 8 8 8 8 8\n8 7 7 7 7 9 9 9 9 7 7 7 7 8 6 6 6 6 6 6 8 8 8 8 8 8 8 8 8 8\n8 7 7 7 7 9 9 9 9 7 7 7 7 8 6 6 6 6 6 6 4 4 4 4 8 8 8 8 8 8\n8 7 7 7 7 9 9 9 9 7 7 7 7 8 8 8 8 8 8 8 4 4 4 4 8 8 8 8 8 8\n8 7 7 7 7 9 9 9 9 7 7 7 7 8 8 8 8 8 8 8 4 4 9 9 4 4 8 8 8 8\n8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 4 4 9 9 4 4 8 8 8 8\n8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 4 4 4 4 8 8 8 8\n8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 4 4 4 4 8 8 8 8\n8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 2 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 2 2 2 7 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 2 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 1 7 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 4 7 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\nOutput:\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 2 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 2 2 2 7 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 2 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 1 1 1 7 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 4 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 4 4 4 7 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 4 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n\nExample 2:\n\nInput:\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 7 4 8 8 8 8\n8 8 8 2 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 7 2 2 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 2 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 6 6 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 6 6 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\nOutput:\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 4 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 7 4 4 8 8 8\n8 8 8 2 8 8 8 8 8 8 8 8 4 8 8 8 8 8\n8 8 8 7 2 2 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 2 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 6 6 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 6 6 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 8 8\n8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 8 8\n8 8 8 8 8 8 8 8 8 8 6 6 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 6 6 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n\nExample 3:\n\nInput:\n8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 4 8 8 8\n8 8 8 8 8 8 8 9 4 4 8 8\n8 8 8 8 8 8 8 8 4 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 9 9 6 6 8 8 8 8 8\n8 8 8 9 9 6 6 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8\nOutput:\n8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 4 8 8 8\n8 8 8 8 8 8 8 9 4 4 8 8\n8 8 8 8 8 8 8 8 4 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 6 6 8 8 8 8 8\n8 8 8 8 8 6 6 8 8 8 8 8\n8 8 8 9 9 6 6 6 6 8 8 8\n8 8 8 9 9 6 6 6 6 8 8 8\n8 8 8 8 8 6 6 8 8 8 8 8\n8 8 8 8 8 6 6 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8\n\nExample 4:\n\nInput:\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 9 6 9 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 9 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 2 2 2 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 2 2 2 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 2 2 2 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 6 6 6 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 6 6 6 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 6 6 6 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\nOutput:\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 9 6 9 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 9 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 2 2 2 2 2 2 2 2 2 8 8 8 8 8 8\n8 8 8 2 2 2 2 2 2 2 2 2 8 8 8 8 8 8\n8 8 8 2 2 2 2 2 2 2 2 2 8 8 8 8 8 8\n8 8 8 2 2 2 6 6 6 2 2 2 8 8 8 8 8 8\n8 8 8 2 2 2 6 6 6 2 2 2 8 8 8 8 8 8\n8 8 8 2 2 2 6 6 6 2 2 2 8 8 8 8 8 8\n8 8 8 2 2 2 8 8 8 2 2 2 8 8 8 8 8 8\n8 8 8 2 2 2 8 8 8 2 2 2 8 8 8 8 8 8\n8 8 8 2 2 2 8 8 8 2 2 2 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 2 2 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 6 6 6 8 8 8 8 2 9 2 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 6 6 6 8 8 8 8 8 2 2 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 6 6 6 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 7 7 7 7 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 7 7 7 7 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 7 7 7 7 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 7 7 7 7 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 4 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 4 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n", "answer": "8 8 8 8 8 8 8 8 8 8 8 6 6 6 6 6 6 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 6 6 6 6 6 6 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 6 6 6 6 6 6 8 8 8 8 8 8 8 2 2 8 8 8 8\n8 7 7 7 7 7 7 7 7 8 8 6 6 6 9 9 9 6 6 6 8 8 8 8 2 9 2 8 8 8\n8 7 7 7 7 7 7 7 7 8 8 6 6 6 9 9 9 6 6 6 8 8 8 8 8 2 2 8 8 8\n8 7 7 7 7 7 7 7 7 8 8 6 6 6 9 9 9 6 6 6 8 8 8 8 8 8 8 8 8 8\n8 7 7 7 7 7 7 7 7 8 8 8 8 8 6 6 6 6 6 6 8 8 8 8 8 8 8 8 8 8\n8 7 7 7 7 9 9 9 9 7 7 7 7 8 6 6 6 6 6 6 8 8 8 8 8 8 8 8 8 8\n8 7 7 7 7 9 9 9 9 7 7 7 7 8 6 6 6 6 6 6 4 4 4 4 8 8 8 8 8 8\n8 7 7 7 7 9 9 9 9 7 7 7 7 8 8 8 8 8 8 8 4 4 4 4 8 8 8 8 8 8\n8 7 7 7 7 9 9 9 9 7 7 7 7 8 8 8 8 8 8 8 4 4 9 9 4 4 8 8 8 8\n8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 4 4 9 9 4 4 8 8 8 8\n8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 4 4 4 4 8 8 8 8\n8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 4 4 4 4 8 8 8 8\n8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8", "metadata": {"source_dataset": "arc_agi", "source_index": 227, "input": [[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 6, 6, 6, 8, 8, 8, 8, 2, 9, 2, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 6, 6, 6, 8, 8, 8, 8, 8, 2, 2, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 7, 7, 7, 7, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 7, 7, 7, 7, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 7, 7, 7, 7, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 7, 7, 7, 7, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]], "output": [[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 2, 2, 8, 8, 8, 8], [8, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 6, 6, 6, 9, 9, 9, 6, 6, 6, 8, 8, 8, 8, 2, 9, 2, 8, 8, 8], [8, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 6, 6, 6, 9, 9, 9, 6, 6, 6, 8, 8, 8, 8, 8, 2, 2, 8, 8, 8], [8, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 6, 6, 6, 9, 9, 9, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 7, 7, 7, 7, 9, 9, 9, 9, 7, 7, 7, 7, 8, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 7, 7, 7, 7, 9, 9, 9, 9, 7, 7, 7, 7, 8, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8], [8, 7, 7, 7, 7, 9, 9, 9, 9, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8], [8, 7, 7, 7, 7, 9, 9, 9, 9, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 4, 4, 9, 9, 4, 4, 8, 8, 8, 8], [8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 4, 4, 9, 9, 4, 4, 8, 8, 8, 8], [8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 8, 8, 8, 8], [8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 8, 8, 8, 8], [8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]], "task_id": "57aa92db", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 227, "input": [[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 6, 6, 6, 8, 8, 8, 8, 2, 9, 2, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 6, 6, 6, 8, 8, 8, 8, 8, 2, 2, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 7, 7, 7, 7, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 7, 7, 7, 7, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 7, 7, 7, 7, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 7, 7, 7, 7, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]], "output": [[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 2, 2, 8, 8, 8, 8], [8, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 6, 6, 6, 9, 9, 9, 6, 6, 6, 8, 8, 8, 8, 2, 9, 2, 8, 8, 8], [8, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 6, 6, 6, 9, 9, 9, 6, 6, 6, 8, 8, 8, 8, 8, 2, 2, 8, 8, 8], [8, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 6, 6, 6, 9, 9, 9, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 7, 7, 7, 7, 9, 9, 9, 9, 7, 7, 7, 7, 8, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 7, 7, 7, 7, 9, 9, 9, 9, 7, 7, 7, 7, 8, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8], [8, 7, 7, 7, 7, 9, 9, 9, 9, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8], [8, 7, 7, 7, 7, 9, 9, 9, 9, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 4, 4, 9, 9, 4, 4, 8, 8, 8, 8], [8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 4, 4, 9, 9, 4, 4, 8, 8, 8, 8], [8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 8, 8, 8, 8], [8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 8, 8, 8, 8], [8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]], "task_id": "57aa92db", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null
General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 5 0 4 5 0 4 5 5 5 1 5 5 5 5 7 5 5 5 5 5 5 5 5 5 5 8 5 5 5 5 5 8 5 5 5 5 5 5 5 5 7 8 5 5 5 5 5 0 9 5 5 4 5 5 5 5 9 5 0 5 5 5 5 5 5 9 9 9 9 9 6 9 9 9 7 9 9 9 9 9 9 9 9 9 9 7 9 9 9 9 9 9 9 7 8 9 9 9 9 9 9 9 9 9 3 3 3 3 3 3 0 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 9 3 4 3 3 3 3 3 3 6 3 3 3 3 3 3 3 3 4 3 3 3 3 3 8 8 8 8 9 8 4 8 8 1 8 8 8 8 8 9 8 8 8 8 8 8 4 8 8 0 8 8 8 8 8 1 1 8 8 8 1 8 8 9 8 8 8 8 8 8 8 8 8 8 8 5 8 8 6 8 8 0 8 3 8 6 8 8 8 Output: 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 Example 2: Input: 3 3 3 3 6 0 6 6 6 6 9 9 9 5 5 4 3 3 3 6 6 6 6 6 6 9 9 9 5 5 3 3 3 4 6 6 6 6 6 6 9 9 9 5 5 3 3 0 3 6 6 6 6 6 4 9 9 4 7 5 3 3 3 3 6 3 6 6 6 1 9 9 9 5 5 3 8 3 8 6 6 6 7 6 6 9 9 9 5 5 3 3 3 3 9 6 6 6 3 6 9 9 9 5 5 3 3 8 3 6 6 6 6 6 6 9 9 6 5 5 3 8 3 3 6 6 6 6 6 6 9 9 0 5 5 3 3 3 3 3 6 6 6 6 6 9 9 9 5 5 3 3 3 3 3 6 6 6 6 0 9 9 9 0 0 3 3 0 3 6 6 6 6 8 6 9 3 9 5 5 3 3 3 3 6 6 9 7 6 6 0 9 9 5 5 3 3 3 3 4 6 8 9 6 6 9 9 9 5 5 Output: 3 3 3 3 6 6 6 6 6 6 9 9 9 5 5 3 3 3 3 6 6 6 6 6 6 9 9 9 5 5 3 3 3 3 6 6 6 6 6 6 9 9 9 5 5 3 3 3 3 6 6 6 6 6 6 9 9 9 5 5 3 3 3 3 6 6 6 6 6 6 9 9 9 5 5 3 3 3 3 6 6 6 6 6 6 9 9 9 5 5 3 3 3 3 6 6 6 6 6 6 9 9 9 5 5 3 3 3 3 6 6 6 6 6 6 9 9 9 5 5 3 3 3 3 6 6 6 6 6 6 9 9 9 5 5 3 3 3 3 6 6 6 6 6 6 9 9 9 5 5 3 3 3 3 6 6 6 6 6 6 9 9 9 5 5 3 3 3 3 6 6 6 6 6 6 9 9 9 5 5 3 3 3 3 6 6 6 6 6 6 9 9 9 5 5 3 3 3 3 6 6 6 6 6 6 9 9 9 5 5 Example 3: Input: 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 9 8 9 8 8 8 8 8 4 8 8 8 8 8 8 8 8 8 8 8 1 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 9 9 9 9 9 9 9 0 1 9 9 9 9 9 9 9 0 9 9 9 9 9 3 8 9 9 5 9 0 9 9 9 9 9 6 9 9 9 9 9 9 9 1 9 9 9 9 9 7 7 9 9 9 9 9 9 9 9 9 9 9 9 9 9 3 9 9 9 9 9 7 7 9 9 9 9 9 9 5 5 5 5 5 5 5 5 5 3 5 9 0 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 1 5 8 5 5 3 5 Output: 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 1 5 7 6 8 8 8 5 9 9 9 4 4 3 9 5 4 5 8 8 7 8 9 9 9 9 4 4 3 1 5 5 5 8 0 8 8 9 9 9 9 4 6 5 3 7 5 5 8 8 8 8 9 9 9 9 4 4 0 3 5 0 4 8 5 7 8 9 5 9 9 4 4 3 9 5 5 5 1 8 1 8 9 9 9 9 4 4 3 3 5 5 5 8 8 1 8 0 9 9 9 6 4 3 3 5 5 5 0 8 8 8 9 9 9 9 3 4 3 3 5 5 5 8 3 8 8 9 9 9 7 4 4 3 3 5 7 5 8 8 8 8 9 9 9 9 4 4 3 3 5 5 5 4 8 3 1 9 6 4 9 4 9 3 3 5 5 5 8 9 8 8 9 9 9 9 4 4 3 3 5 5 5 4 8 7 9 9 9 9 5 4 4 3 3 5 5 5 8 6 8 8 9 9 9 9 8 4 3 3 5 5 5 8 8 8 8 9 0 9 9 4 4 3 3
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "5 5 5 8 8 8 8 9 9 9 9 4 4 3 3\n5 5 5 8 8 8 8 9 9 9 9 4 4 3 3\n5 5 5 8 8 8 8 9 9 9 9 4 4 3 3\n5 5 5 8 8 8 8 9 9 9 9 4 4 3 3\n5 5 5 8 8 8 8 9 9 9 9 4 4 3 3\n5 5 5 8 8 8 8 9 9 9 9 4 4 3 3\n5 5 5 8 8 8 8 9 9 9 9 4 4 3 3\n5 5 5 8 8 8 8 9 9 9 9 4 4 3 3\n5 5 5 8 8 8 8 9 9 9 9 4 4 3 3\n5 5 5 8 8 8 8 9 9 9 9 4 4 3 3\n5 5 5 8 8 8 8 9 9 9 9 4 4 3 3\n5 5 5 8 8 8 8 9 9 9 9 4 4 3 3\n5 5 5 8 8 8 8 9 9 9 9 4 4 3 3\n5 5 5 8 8 8 8 9 9 9 9 4 4 3 3\n5 5 5 8 8 8 8 9 9 9 9 4 4 3 3", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n5 0 4 5 0 4 5 5 5 1 5 5 5\n5 7 5 5 5 5 5 5 5 5 5 5 8\n5 5 5 5 5 8 5 5 5 5 5 5 5\n5 7 8 5 5 5 5 5 0 9 5 5 4\n5 5 5 5 9 5 0 5 5 5 5 5 5\n9 9 9 9 9 6 9 9 9 7 9 9 9\n9 9 9 9 9 9 9 7 9 9 9 9 9\n9 9 7 8 9 9 9 9 9 9 9 9 9\n3 3 3 3 3 3 0 3 3 4 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 9 3 4 3 3 3 3 3 3 6 3\n3 3 3 3 3 3 3 4 3 3 3 3 3\n8 8 8 8 9 8 4 8 8 1 8 8 8\n8 8 9 8 8 8 8 8 8 4 8 8 0\n8 8 8 8 8 1 1 8 8 8 1 8 8\n9 8 8 8 8 8 8 8 8 8 8 8 5\n8 8 6 8 8 0 8 3 8 6 8 8 8\nOutput:\n5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3\n8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8\n\nExample 2:\n\nInput:\n3 3 3 3 6 0 6 6 6 6 9 9 9 5 5\n4 3 3 3 6 6 6 6 6 6 9 9 9 5 5\n3 3 3 4 6 6 6 6 6 6 9 9 9 5 5\n3 3 0 3 6 6 6 6 6 4 9 9 4 7 5\n3 3 3 3 6 3 6 6 6 1 9 9 9 5 5\n3 8 3 8 6 6 6 7 6 6 9 9 9 5 5\n3 3 3 3 9 6 6 6 3 6 9 9 9 5 5\n3 3 8 3 6 6 6 6 6 6 9 9 6 5 5\n3 8 3 3 6 6 6 6 6 6 9 9 0 5 5\n3 3 3 3 3 6 6 6 6 6 9 9 9 5 5\n3 3 3 3 3 6 6 6 6 0 9 9 9 0 0\n3 3 0 3 6 6 6 6 8 6 9 3 9 5 5\n3 3 3 3 6 6 9 7 6 6 0 9 9 5 5\n3 3 3 3 4 6 8 9 6 6 9 9 9 5 5\nOutput:\n3 3 3 3 6 6 6 6 6 6 9 9 9 5 5\n3 3 3 3 6 6 6 6 6 6 9 9 9 5 5\n3 3 3 3 6 6 6 6 6 6 9 9 9 5 5\n3 3 3 3 6 6 6 6 6 6 9 9 9 5 5\n3 3 3 3 6 6 6 6 6 6 9 9 9 5 5\n3 3 3 3 6 6 6 6 6 6 9 9 9 5 5\n3 3 3 3 6 6 6 6 6 6 9 9 9 5 5\n3 3 3 3 6 6 6 6 6 6 9 9 9 5 5\n3 3 3 3 6 6 6 6 6 6 9 9 9 5 5\n3 3 3 3 6 6 6 6 6 6 9 9 9 5 5\n3 3 3 3 6 6 6 6 6 6 9 9 9 5 5\n3 3 3 3 6 6 6 6 6 6 9 9 9 5 5\n3 3 3 3 6 6 6 6 6 6 9 9 9 5 5\n3 3 3 3 6 6 6 6 6 6 9 9 9 5 5\n\nExample 3:\n\nInput:\n8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 1 8 8 8 8 9\n8 9 8 8 8 8 8 4 8 8 8 8 8\n8 8 8 8 8 8 1 8 8 1 8 8 8\n8 8 8 8 8 8 8 8 8 8 7 8 8\n9 9 9 9 9 9 9 0 1 9 9 9 9\n9 9 9 0 9 9 9 9 9 3 8 9 9\n5 9 0 9 9 9 9 9 6 9 9 9 9\n9 9 9 1 9 9 9 9 9 7 7 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 3\n9 9 9 9 9 7 7 9 9 9 9 9 9\n5 5 5 5 5 5 5 5 5 3 5 9 0\n5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 1 5 8 5 5 3 5\nOutput:\n8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n1 5 7 6 8 8 8 5 9 9 9 4 4 3 9\n5 4 5 8 8 7 8 9 9 9 9 4 4 3 1\n5 5 5 8 0 8 8 9 9 9 9 4 6 5 3\n7 5 5 8 8 8 8 9 9 9 9 4 4 0 3\n5 0 4 8 5 7 8 9 5 9 9 4 4 3 9\n5 5 5 1 8 1 8 9 9 9 9 4 4 3 3\n5 5 5 8 8 1 8 0 9 9 9 6 4 3 3\n5 5 5 0 8 8 8 9 9 9 9 3 4 3 3\n5 5 5 8 3 8 8 9 9 9 7 4 4 3 3\n5 7 5 8 8 8 8 9 9 9 9 4 4 3 3\n5 5 5 4 8 3 1 9 6 4 9 4 9 3 3\n5 5 5 8 9 8 8 9 9 9 9 4 4 3 3\n5 5 5 4 8 7 9 9 9 9 5 4 4 3 3\n5 5 5 8 6 8 8 9 9 9 9 8 4 3 3\n5 5 5 8 8 8 8 9 0 9 9 4 4 3 3\n", "answer": "5 5 5 8 8 8 8 9 9 9 9 4 4 3 3\n5 5 5 8 8 8 8 9 9 9 9 4 4 3 3\n5 5 5 8 8 8 8 9 9 9 9 4 4 3 3\n5 5 5 8 8 8 8 9 9 9 9 4 4 3 3\n5 5 5 8 8 8 8 9 9 9 9 4 4 3 3\n5 5 5 8 8 8 8 9 9 9 9 4 4 3 3\n5 5 5 8 8 8 8 9 9 9 9 4 4 3 3\n5 5 5 8 8 8 8 9 9 9 9 4 4 3 3\n5 5 5 8 8 8 8 9 9 9 9 4 4 3 3\n5 5 5 8 8 8 8 9 9 9 9 4 4 3 3\n5 5 5 8 8 8 8 9 9 9 9 4 4 3 3\n5 5 5 8 8 8 8 9 9 9 9 4 4 3 3\n5 5 5 8 8 8 8 9 9 9 9 4 4 3 3\n5 5 5 8 8 8 8 9 9 9 9 4 4 3 3\n5 5 5 8 8 8 8 9 9 9 9 4 4 3 3", "metadata": {"source_dataset": "arc_agi", "source_index": 228, "input": [[1, 5, 7, 6, 8, 8, 8, 5, 9, 9, 9, 4, 4, 3, 9], [5, 4, 5, 8, 8, 7, 8, 9, 9, 9, 9, 4, 4, 3, 1], [5, 5, 5, 8, 0, 8, 8, 9, 9, 9, 9, 4, 6, 5, 3], [7, 5, 5, 8, 8, 8, 8, 9, 9, 9, 9, 4, 4, 0, 3], [5, 0, 4, 8, 5, 7, 8, 9, 5, 9, 9, 4, 4, 3, 9], [5, 5, 5, 1, 8, 1, 8, 9, 9, 9, 9, 4, 4, 3, 3], [5, 5, 5, 8, 8, 1, 8, 0, 9, 9, 9, 6, 4, 3, 3], [5, 5, 5, 0, 8, 8, 8, 9, 9, 9, 9, 3, 4, 3, 3], [5, 5, 5, 8, 3, 8, 8, 9, 9, 9, 7, 4, 4, 3, 3], [5, 7, 5, 8, 8, 8, 8, 9, 9, 9, 9, 4, 4, 3, 3], [5, 5, 5, 4, 8, 3, 1, 9, 6, 4, 9, 4, 9, 3, 3], [5, 5, 5, 8, 9, 8, 8, 9, 9, 9, 9, 4, 4, 3, 3], [5, 5, 5, 4, 8, 7, 9, 9, 9, 9, 5, 4, 4, 3, 3], [5, 5, 5, 8, 6, 8, 8, 9, 9, 9, 9, 8, 4, 3, 3], [5, 5, 5, 8, 8, 8, 8, 9, 0, 9, 9, 4, 4, 3, 3]], "output": [[5, 5, 5, 8, 8, 8, 8, 9, 9, 9, 9, 4, 4, 3, 3], [5, 5, 5, 8, 8, 8, 8, 9, 9, 9, 9, 4, 4, 3, 3], [5, 5, 5, 8, 8, 8, 8, 9, 9, 9, 9, 4, 4, 3, 3], [5, 5, 5, 8, 8, 8, 8, 9, 9, 9, 9, 4, 4, 3, 3], [5, 5, 5, 8, 8, 8, 8, 9, 9, 9, 9, 4, 4, 3, 3], [5, 5, 5, 8, 8, 8, 8, 9, 9, 9, 9, 4, 4, 3, 3], [5, 5, 5, 8, 8, 8, 8, 9, 9, 9, 9, 4, 4, 3, 3], [5, 5, 5, 8, 8, 8, 8, 9, 9, 9, 9, 4, 4, 3, 3], [5, 5, 5, 8, 8, 8, 8, 9, 9, 9, 9, 4, 4, 3, 3], [5, 5, 5, 8, 8, 8, 8, 9, 9, 9, 9, 4, 4, 3, 3], [5, 5, 5, 8, 8, 8, 8, 9, 9, 9, 9, 4, 4, 3, 3], [5, 5, 5, 8, 8, 8, 8, 9, 9, 9, 9, 4, 4, 3, 3], [5, 5, 5, 8, 8, 8, 8, 9, 9, 9, 9, 4, 4, 3, 3], [5, 5, 5, 8, 8, 8, 8, 9, 9, 9, 9, 4, 4, 3, 3], [5, 5, 5, 8, 8, 8, 8, 9, 9, 9, 9, 4, 4, 3, 3]], "task_id": "e26a3af2", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 228, "input": [[1, 5, 7, 6, 8, 8, 8, 5, 9, 9, 9, 4, 4, 3, 9], [5, 4, 5, 8, 8, 7, 8, 9, 9, 9, 9, 4, 4, 3, 1], [5, 5, 5, 8, 0, 8, 8, 9, 9, 9, 9, 4, 6, 5, 3], [7, 5, 5, 8, 8, 8, 8, 9, 9, 9, 9, 4, 4, 0, 3], [5, 0, 4, 8, 5, 7, 8, 9, 5, 9, 9, 4, 4, 3, 9], [5, 5, 5, 1, 8, 1, 8, 9, 9, 9, 9, 4, 4, 3, 3], [5, 5, 5, 8, 8, 1, 8, 0, 9, 9, 9, 6, 4, 3, 3], [5, 5, 5, 0, 8, 8, 8, 9, 9, 9, 9, 3, 4, 3, 3], [5, 5, 5, 8, 3, 8, 8, 9, 9, 9, 7, 4, 4, 3, 3], [5, 7, 5, 8, 8, 8, 8, 9, 9, 9, 9, 4, 4, 3, 3], [5, 5, 5, 4, 8, 3, 1, 9, 6, 4, 9, 4, 9, 3, 3], [5, 5, 5, 8, 9, 8, 8, 9, 9, 9, 9, 4, 4, 3, 3], [5, 5, 5, 4, 8, 7, 9, 9, 9, 9, 5, 4, 4, 3, 3], [5, 5, 5, 8, 6, 8, 8, 9, 9, 9, 9, 8, 4, 3, 3], [5, 5, 5, 8, 8, 8, 8, 9, 0, 9, 9, 4, 4, 3, 3]], "output": [[5, 5, 5, 8, 8, 8, 8, 9, 9, 9, 9, 4, 4, 3, 3], [5, 5, 5, 8, 8, 8, 8, 9, 9, 9, 9, 4, 4, 3, 3], [5, 5, 5, 8, 8, 8, 8, 9, 9, 9, 9, 4, 4, 3, 3], [5, 5, 5, 8, 8, 8, 8, 9, 9, 9, 9, 4, 4, 3, 3], [5, 5, 5, 8, 8, 8, 8, 9, 9, 9, 9, 4, 4, 3, 3], [5, 5, 5, 8, 8, 8, 8, 9, 9, 9, 9, 4, 4, 3, 3], [5, 5, 5, 8, 8, 8, 8, 9, 9, 9, 9, 4, 4, 3, 3], [5, 5, 5, 8, 8, 8, 8, 9, 9, 9, 9, 4, 4, 3, 3], [5, 5, 5, 8, 8, 8, 8, 9, 9, 9, 9, 4, 4, 3, 3], [5, 5, 5, 8, 8, 8, 8, 9, 9, 9, 9, 4, 4, 3, 3], [5, 5, 5, 8, 8, 8, 8, 9, 9, 9, 9, 4, 4, 3, 3], [5, 5, 5, 8, 8, 8, 8, 9, 9, 9, 9, 4, 4, 3, 3], [5, 5, 5, 8, 8, 8, 8, 9, 9, 9, 9, 4, 4, 3, 3], [5, 5, 5, 8, 8, 8, 8, 9, 9, 9, 9, 4, 4, 3, 3], [5, 5, 5, 8, 8, 8, 8, 9, 9, 9, 9, 4, 4, 3, 3]], "task_id": "e26a3af2", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null
General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 6 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Output: 1 1 1 1 1 1 6 1 1 1 1 1 1 1 1 1 1 6 1 1 1 1 1 1 1 1 1 1 6 1 1 1 1 1 1 1 1 1 1 6 6 6 6 6 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Example 2: Input: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 7 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 9 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Output: 1 1 1 7 1 1 1 9 1 1 1 1 1 1 1 7 1 1 1 9 1 1 1 1 7 7 7 7 1 1 1 9 1 1 1 1 1 1 1 1 1 1 1 9 9 9 9 9 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 3 3 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 Example 3: Input: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Output: 1 5 1 1 1 1 1 1 1 1 1 1 1 5 1 1 1 1 1 1 1 1 1 1 5 5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 3 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 3 1 1 Example 4: Input: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 7 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Output: 1 1 1 1 1 1 1 1 1 5 1 1 1 1 1 1 1 1 1 1 1 1 1 5 1 1 1 1 1 1 1 1 1 1 1 1 1 5 1 1 1 1 1 1 1 1 1 1 1 1 1 5 1 1 1 1 1 1 1 1 1 1 1 1 1 5 1 1 1 1 1 1 1 1 1 1 1 1 1 5 5 5 5 5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 7 7 7 1 1 1 1 1 1 1 1 1 1 1 1 1 7 1 1 1 1 1 1 1 1 1 1 1 1 1 7 1 1 1 1 1 1 1 1 1 1 1 1 1 7 1 1 1 1 1 1 1 1 1 1 1 1 1 7 1 1 1 1 1 1 1 1 1 1 1 1 1 7 1 1 1 1 1 1 1 1 1 1 1 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 7 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "1 1 1 7 1 1 1 1 1 5 1\n1 1 1 7 1 1 1 1 1 5 1\n1 1 1 7 1 1 1 1 1 5 5\n1 1 1 7 1 1 1 1 1 1 1\n7 7 7 7 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1\n0 0 0 0 0 1 1 1 1 1 1\n1 1 1 1 0 1 1 1 3 3 3\n1 1 1 1 0 1 1 1 3 1 1\n1 1 1 1 0 1 1 1 3 1 1\n1 1 1 1 0 1 1 1 3 1 1\n1 1 1 1 0 1 1 1 3 1 1", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 6 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1\nOutput:\n1 1 1 1 1 1 6 1 1 1 1\n1 1 1 1 1 1 6 1 1 1 1\n1 1 1 1 1 1 6 1 1 1 1\n1 1 1 1 1 1 6 6 6 6 6\n1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1\n\nExample 2:\n\nInput:\n1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 7 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 9 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 3 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1\nOutput:\n1 1 1 7 1 1 1 9 1 1 1 1\n1 1 1 7 1 1 1 9 1 1 1 1\n7 7 7 7 1 1 1 9 1 1 1 1\n1 1 1 1 1 1 1 9 9 9 9 9\n1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 3 3 3 3\n1 1 1 1 1 1 1 1 3 1 1 1\n1 1 1 1 1 1 1 1 3 1 1 1\n\nExample 3:\n\nInput:\n1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1\n1 5 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 3 1 1\n1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1\nOutput:\n1 5 1 1 1 1 1 1 1 1 1 1\n1 5 1 1 1 1 1 1 1 1 1 1\n5 5 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 3 3 3\n1 1 1 1 1 1 1 1 1 3 1 1\n1 1 1 1 1 1 1 1 1 3 1 1\n1 1 1 1 1 1 1 1 1 3 1 1\n\nExample 4:\n\nInput:\n1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 5 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 7 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1\nOutput:\n1 1 1 1 1 1 1 1 1 5 1 1 1 1\n1 1 1 1 1 1 1 1 1 5 1 1 1 1\n1 1 1 1 1 1 1 1 1 5 1 1 1 1\n1 1 1 1 1 1 1 1 1 5 1 1 1 1\n1 1 1 1 1 1 1 1 1 5 1 1 1 1\n1 1 1 1 1 1 1 1 1 5 5 5 5 5\n1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1\n7 7 7 1 1 1 1 1 1 1 1 1 1 1\n1 1 7 1 1 1 1 1 1 1 1 1 1 1\n1 1 7 1 1 1 1 1 1 1 1 1 1 1\n1 1 7 1 1 1 1 1 1 1 1 1 1 1\n1 1 7 1 1 1 1 1 1 1 1 1 1 1\n1 1 7 1 1 1 1 1 1 1 1 1 1 1\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 5 1\n1 1 1 1 1 1 1 1 1 1 1\n1 1 1 7 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 0 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 3 1 1\n1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1\n", "answer": "1 1 1 7 1 1 1 1 1 5 1\n1 1 1 7 1 1 1 1 1 5 1\n1 1 1 7 1 1 1 1 1 5 5\n1 1 1 7 1 1 1 1 1 1 1\n7 7 7 7 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1\n0 0 0 0 0 1 1 1 1 1 1\n1 1 1 1 0 1 1 1 3 3 3\n1 1 1 1 0 1 1 1 3 1 1\n1 1 1 1 0 1 1 1 3 1 1\n1 1 1 1 0 1 1 1 3 1 1\n1 1 1 1 0 1 1 1 3 1 1", "metadata": {"source_dataset": "arc_agi", "source_index": 229, "input": [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]], "output": [[1, 1, 1, 7, 1, 1, 1, 1, 1, 5, 1], [1, 1, 1, 7, 1, 1, 1, 1, 1, 5, 1], [1, 1, 1, 7, 1, 1, 1, 1, 1, 5, 5], [1, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1], [7, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 0, 1, 1, 1, 3, 3, 3], [1, 1, 1, 1, 0, 1, 1, 1, 3, 1, 1], [1, 1, 1, 1, 0, 1, 1, 1, 3, 1, 1], [1, 1, 1, 1, 0, 1, 1, 1, 3, 1, 1], [1, 1, 1, 1, 0, 1, 1, 1, 3, 1, 1]], "task_id": "705a3229", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 229, "input": [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]], "output": [[1, 1, 1, 7, 1, 1, 1, 1, 1, 5, 1], [1, 1, 1, 7, 1, 1, 1, 1, 1, 5, 1], [1, 1, 1, 7, 1, 1, 1, 1, 1, 5, 5], [1, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1], [7, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 0, 1, 1, 1, 3, 3, 3], [1, 1, 1, 1, 0, 1, 1, 1, 3, 1, 1], [1, 1, 1, 1, 0, 1, 1, 1, 3, 1, 1], [1, 1, 1, 1, 0, 1, 1, 1, 3, 1, 1], [1, 1, 1, 1, 0, 1, 1, 1, 3, 1, 1]], "task_id": "705a3229", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null
General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Output: 0 0 0 0 0 0 0 8 8 8 0 0 0 8 2 8 0 0 0 8 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Example 2: Input: 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Output: 0 0 3 3 3 0 0 0 3 1 3 0 0 0 3 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Example 3: Input: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Output: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 3 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 4 9 4 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Example 4: Input: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Output: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 8 0 0 0 0 0 3 3 3 0 8 2 8 0 0 0 0 0 3 1 3 0 8 8 8 4 4 4 0 0 3 3 3 0 0 0 0 4 9 4 0 0 0 0 0 0 0 0 0 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "3 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0\n3 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0\n3 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 0\n0 0 0 0 0 0 0 0 0 0 0 0 4 9 4 0\n0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 8 8 8 0 0 0 0 0 0 0 0 0 0 0 0\n0 8 2 8 0 0 0 0 0 0 0 0 0 0 0 0\n0 8 8 8 0 0 0 0 0 0 0 0 0 0 0 0", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n0 0 0 0 0 0\n0 0 0 0 0 0\n0 0 2 0 0 0\n0 0 0 0 0 0\n0 0 0 0 0 0\n0 0 0 0 0 0\nOutput:\n0 0 0 0 0 0\n0 8 8 8 0 0\n0 8 2 8 0 0\n0 8 8 8 0 0\n0 0 0 0 0 0\n0 0 0 0 0 0\n\nExample 2:\n\nInput:\n0 0 0 0 0 0\n0 0 0 1 0 0\n0 0 0 0 0 0\n0 0 0 0 0 0\n0 0 0 0 0 0\n0 0 0 0 0 0\nOutput:\n0 0 3 3 3 0\n0 0 3 1 3 0\n0 0 3 3 3 0\n0 0 0 0 0 0\n0 0 0 0 0 0\n0 0 0 0 0 0\n\nExample 3:\n\nInput:\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 9 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\nOutput:\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 3 3 3 0 0\n0 0 0 0 0 0 0 0 0 0 0 3 1 3 0 0\n0 0 0 0 0 0 0 0 0 0 0 3 3 3 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 4 4 4 0 0 0 0 0 0 0 0 0 0 0\n0 0 4 9 4 0 0 0 0 0 0 0 0 0 0 0\n0 0 4 4 4 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n\nExample 4:\n\nInput:\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 2 0 0 0 0 0 0\n0 1 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 9 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0\nOutput:\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 8 8 8 0 0 0 0 0\n3 3 3 0 8 2 8 0 0 0 0 0\n3 1 3 0 8 8 8 4 4 4 0 0\n3 3 3 0 0 0 0 4 9 4 0 0\n0 0 0 0 0 0 0 4 4 4 0 0\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 9 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n", "answer": "3 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0\n3 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0\n3 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 0\n0 0 0 0 0 0 0 0 0 0 0 0 4 9 4 0\n0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 8 8 8 0 0 0 0 0 0 0 0 0 0 0 0\n0 8 2 8 0 0 0 0 0 0 0 0 0 0 0 0\n0 8 8 8 0 0 0 0 0 0 0 0 0 0 0 0", "metadata": {"source_dataset": "arc_agi", "source_index": 230, "input": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], "output": [[3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 1, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 9, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 2, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], "task_id": "913fb3ed", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 230, "input": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], "output": [[3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 1, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 9, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 2, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], "task_id": "913fb3ed", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null
General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 2 2 2 2 2 2 2 2 6 6 6 2 0 0 0 2 0 6 0 2 6 6 6 2 6 6 4 4 6 6 2 0 6 6 2 0 0 0 2 6 6 6 2 0 0 0 2 6 6 4 4 6 6 2 6 0 0 2 6 0 6 2 6 6 0 2 0 6 6 2 6 6 4 4 4 4 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 6 4 4 4 4 2 0 0 6 2 6 6 6 2 0 6 6 2 6 6 6 2 4 4 6 6 6 6 2 6 6 0 2 6 6 6 2 0 0 6 2 6 0 0 2 4 4 6 6 6 6 2 0 6 0 2 0 6 0 2 6 0 6 2 6 6 6 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 6 0 2 0 0 6 2 0 6 6 2 6 0 0 2 6 0 0 2 6 0 0 6 6 0 2 6 0 0 2 6 6 6 2 0 6 6 2 0 6 0 2 0 0 0 0 6 6 2 0 6 6 2 0 6 6 2 6 6 0 2 6 0 0 2 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 6 6 2 6 6 6 2 6 6 6 2 6 6 0 2 6 0 6 2 0 0 6 0 6 6 2 0 6 6 2 0 6 0 2 6 6 6 2 6 0 6 2 6 6 6 0 0 6 2 6 0 6 2 6 6 6 2 0 0 0 2 6 0 6 2 6 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 0 6 2 6 6 0 2 6 0 6 2 0 6 0 2 0 6 6 2 6 0 6 0 6 6 2 6 6 6 2 6 6 0 2 6 0 6 2 0 6 6 2 6 6 6 6 6 0 2 0 6 6 2 6 0 0 2 6 6 0 2 6 6 0 2 6 0 6 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 6 0 2 0 6 6 2 0 6 6 2 0 6 0 2 0 6 6 2 0 0 0 0 6 6 2 6 0 0 2 0 0 0 2 0 6 0 2 6 0 6 2 6 0 0 6 0 6 2 0 6 6 2 0 6 6 2 6 6 6 2 6 6 0 2 0 6 6 Output: 2 2 2 2 2 2 2 2 6 6 6 2 0 0 0 2 0 6 0 2 6 6 6 2 6 6 4 4 6 6 2 0 6 6 2 0 0 0 2 6 6 6 2 0 0 0 2 6 6 4 4 6 6 2 6 0 0 2 6 0 6 2 6 6 0 2 0 6 6 2 6 6 4 4 4 4 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 6 4 4 4 4 2 0 0 6 2 6 6 6 2 0 6 6 2 6 6 6 2 4 4 6 6 6 6 2 6 6 0 2 6 6 6 2 0 0 6 2 6 0 0 2 4 4 6 6 6 6 2 0 6 0 2 0 6 0 2 6 0 6 2 6 6 6 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 6 0 2 0 4 6 2 0 6 6 2 6 0 0 2 6 0 0 2 6 4 0 6 6 0 2 6 4 4 2 6 6 6 2 0 6 6 2 0 6 0 2 0 4 4 0 6 6 2 4 6 6 2 0 6 6 2 6 6 0 2 6 0 0 2 4 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 6 6 2 6 6 6 2 6 6 6 2 6 6 0 2 6 0 6 2 0 0 6 0 6 6 2 0 6 6 2 0 6 0 2 6 6 6 2 6 0 6 2 6 6 6 0 0 6 2 6 0 6 2 6 6 6 2 0 0 0 2 6 0 6 2 6 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 0 6 2 6 6 0 2 6 0 6 2 0 6 0 2 0 6 6 2 6 0 6 0 6 6 2 6 6 6 2 6 6 0 2 6 0 6 2 0 6 6 2 6 6 6 6 6 0 2 0 6 6 2 6 0 0 2 6 6 0 2 6 6 0 2 6 0 6 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 6 0 2 0 6 6 2 0 6 6 2 0 6 0 2 0 6 6 2 0 4 0 0 6 6 2 6 0 0 2 0 0 0 2 0 6 0 2 6 0 6 2 6 4 4 6 0 6 2 0 6 6 2 0 6 6 2 6 6 6 2 6 6 0 2 4 6 6 Example 2: Input: 6 0 0 2 6 0 6 2 6 6 0 2 6 0 0 2 2 2 2 2 2 2 2 0 0 0 2 0 6 0 2 6 6 6 2 0 6 0 2 7 7 6 6 6 6 2 6 0 6 2 6 0 6 2 6 6 6 2 0 0 6 2 7 7 6 6 6 6 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 6 7 7 6 6 2 6 6 6 2 0 0 0 2 0 6 6 2 6 0 6 2 6 6 7 7 6 6 2 6 6 0 2 6 0 0 2 0 0 6 2 0 0 0 2 6 6 6 6 7 7 2 0 0 6 2 0 6 6 2 0 6 0 2 0 0 0 2 6 6 6 6 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 6 0 2 0 0 0 2 0 6 6 2 6 0 0 2 6 0 6 2 0 0 6 6 6 0 2 6 6 0 2 0 6 6 2 0 0 6 2 0 6 0 2 0 6 0 6 6 0 2 6 6 0 2 6 6 6 2 6 6 6 2 0 6 0 2 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 0 6 2 6 6 6 2 6 0 6 2 6 0 6 2 6 0 0 2 0 0 6 6 0 6 2 0 0 6 2 0 6 0 2 0 6 6 2 0 6 6 2 6 0 0 6 0 6 2 6 0 0 2 6 0 6 2 6 0 0 2 6 0 0 2 0 0 6 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 0 6 2 0 6 0 2 0 6 6 2 6 6 0 2 0 0 6 2 6 0 0 6 0 6 2 0 6 0 2 6 0 0 2 6 0 6 2 6 0 0 2 6 6 0 6 6 0 2 6 6 0 2 6 6 0 2 0 6 6 2 0 0 0 2 6 6 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 0 0 2 6 6 6 2 6 0 6 2 0 6 0 2 6 6 0 2 0 0 6 0 0 6 2 6 0 0 2 6 0 6 2 6 6 0 2 6 6 0 2 6 0 0 6 6 6 2 6 6 0 2 6 0 0 2 0 0 0 2 0 6 6 2 6 6 0 Output: 6 0 0 2 6 0 6 2 6 6 0 2 6 0 0 2 2 2 2 2 2 2 2 0 0 0 2 0 6 0 2 6 6 6 2 0 6 0 2 7 7 6 6 6 6 2 6 0 6 2 6 0 6 2 6 6 6 2 0 0 6 2 7 7 6 6 6 6 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 6 7 7 6 6 2 6 6 6 2 0 0 0 2 7 6 6 2 6 0 6 2 6 6 7 7 6 6 2 6 6 0 2 6 0 0 2 0 7 6 2 0 0 0 2 6 6 6 6 7 7 2 0 0 6 2 0 6 6 2 0 6 7 2 0 0 0 2 6 6 6 6 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 6 0 2 0 0 0 2 0 6 6 2 6 0 0 2 6 0 6 2 0 0 6 6 6 0 2 6 6 0 2 0 6 6 2 0 0 6 2 0 6 0 2 0 6 0 6 6 0 2 6 6 0 2 6 6 6 2 6 6 6 2 0 6 0 2 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 0 6 2 6 6 6 2 6 0 6 2 6 0 6 2 6 0 0 2 0 0 6 6 0 6 2 0 0 6 2 0 6 0 2 0 6 6 2 0 6 6 2 6 0 0 6 0 6 2 6 0 0 2 6 0 6 2 6 0 0 2 6 0 0 2 0 0 6 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 0 6 2 0 6 0 2 7 6 6 2 6 6 0 2 7 0 6 2 6 0 0 6 0 6 2 0 6 0 2 6 7 0 2 6 0 6 2 6 7 0 2 6 6 0 6 6 0 2 6 6 0 2 6 6 7 2 0 6 6 2 0 0 7 2 6 6 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 0 0 2 6 6 6 2 6 0 6 2 0 6 0 2 6 6 0 2 7 0 6 0 0 6 2 6 0 0 2 6 0 6 2 6 6 0 2 6 6 0 2 6 7 0 6 6 6 2 6 6 0 2 6 0 0 2 0 0 0 2 0 6 6 2 6 6 7 Example 3: Input: 6 6 6 2 0 0 0 2 0 0 6 2 6 0 6 2 0 0 0 2 6 6 0 0 6 0 2 6 0 0 2 6 0 6 2 0 6 6 2 0 6 0 2 6 0 0 6 0 0 2 0 6 6 2 6 6 0 2 6 6 0 2 6 0 0 2 6 6 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 6 0 2 6 6 6 2 6 6 6 2 6 0 6 2 6 6 0 2 6 6 0 6 6 0 2 0 6 6 2 6 0 6 2 6 0 6 2 0 6 0 2 6 0 6 0 6 6 2 6 6 0 2 6 6 6 2 6 6 6 2 6 0 0 2 6 6 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 6 6 2 6 6 0 2 6 6 0 2 6 0 6 2 0 0 6 2 6 6 6 6 0 6 2 6 6 0 2 6 6 0 2 0 0 6 2 0 0 6 2 6 6 6 6 0 6 2 0 0 6 2 6 0 0 2 6 6 6 2 6 6 0 2 6 6 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 0 6 2 6 6 6 2 0 6 6 2 6 6 0 2 6 6 6 2 6 6 6 6 6 6 2 0 0 6 2 6 6 6 2 6 6 0 2 6 6 6 2 0 0 6 6 0 6 2 6 6 6 2 6 6 6 2 6 6 6 2 6 6 0 2 6 6 6 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 6 6 2 6 0 6 2 6 0 6 2 0 0 6 2 6 6 6 6 6 6 2 6 6 6 2 6 0 6 2 6 0 6 2 0 0 6 2 6 6 6 6 6 6 2 6 6 6 2 6 6 6 2 6 0 6 2 0 0 0 2 6 6 1 1 6 6 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 6 1 1 6 6 2 6 6 6 2 6 6 6 2 6 6 6 2 0 0 6 2 1 1 6 6 1 1 2 6 0 6 2 6 6 6 2 6 0 6 2 0 6 6 2 1 1 6 6 1 1 2 6 6 6 2 6 0 6 2 0 6 0 2 0 6 6 2 2 2 2 2 2 2 2 Output: 6 6 6 2 0 0 0 2 0 0 6 2 6 0 6 2 0 0 0 2 6 6 0 0 6 0 2 6 0 0 2 6 0 6 2 0 6 6 2 0 6 0 2 6 0 0 6 0 0 2 0 6 6 2 6 6 0 2 6 6 0 2 6 0 0 2 6 6 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 6 0 2 6 6 6 2 6 6 6 2 6 0 6 2 6 6 0 2 6 6 0 6 6 0 2 0 6 6 2 6 0 6 2 6 0 6 2 0 6 0 2 6 0 6 0 6 6 2 6 6 0 2 6 6 6 2 6 6 6 2 6 0 0 2 6 6 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 6 6 2 6 6 0 2 6 6 0 2 6 0 6 2 0 0 6 2 6 6 6 6 0 6 2 6 6 0 2 6 6 0 2 0 0 6 2 0 0 6 2 6 6 6 6 0 6 2 0 0 6 2 6 0 0 2 6 6 6 2 6 6 0 2 6 6 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 0 6 2 6 6 6 2 0 6 6 2 6 6 0 2 6 6 6 2 6 6 6 6 6 6 2 0 0 6 2 6 6 6 2 6 6 0 2 6 6 6 2 0 0 6 6 0 6 2 6 6 6 2 6 6 6 2 6 6 6 2 6 6 0 2 6 6 6 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 6 6 2 6 0 6 2 6 0 6 2 0 0 6 2 6 6 6 6 6 6 2 6 6 6 2 6 0 6 2 6 0 6 2 0 1 6 2 6 6 6 6 6 6 2 6 6 6 2 6 6 6 2 6 0 6 2 1 0 1 2 6 6 1 1 6 6 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 6 1 1 6 6 2 6 6 6 2 6 6 6 2 6 6 6 2 0 0 6 2 1 1 6 6 1 1 2 6 0 6 2 6 6 6 2 6 1 6 2 0 6 6 2 1 1 6 6 1 1 2 6 6 6 2 6 0 6 2 1 6 1 2 0 6 6 2 2 2 2 2 2 2 2 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 6 0 6 2 6 6 0 2 6 6 6 2 0 0 0 2 0 6 0 2 6 6 6 6 0 0 2 0 6 0 2 0 0 6 2 0 0 0 2 0 0 0 2 6 6 6 6 0 6 2 6 0 0 2 6 0 6 2 0 6 0 2 0 6 6 2 0 0 6 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 0 6 2 6 6 6 2 0 6 0 2 6 6 0 2 6 6 6 2 6 0 0 6 6 0 2 6 0 0 2 6 6 0 2 6 6 0 2 6 0 6 2 0 6 6 6 0 6 2 6 6 0 2 6 6 6 2 6 6 0 2 6 0 0 2 6 6 6 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 6 0 2 6 6 0 2 0 6 6 2 0 6 0 2 6 0 6 2 0 0 6 6 6 6 2 6 0 0 2 0 0 0 2 0 6 6 2 6 6 6 2 6 6 0 0 6 6 2 6 6 6 2 6 0 0 2 0 6 0 2 6 6 6 2 0 6 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 6 0 2 6 6 0 2 0 6 0 2 6 0 0 2 6 6 0 2 6 6 6 6 6 0 2 0 6 0 2 6 0 0 2 6 6 6 2 0 0 0 2 6 6 0 6 0 0 2 0 6 6 2 6 0 0 2 6 0 0 2 0 6 6 2 6 6 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 6 6 6 5 5 2 6 0 6 2 6 6 0 2 0 6 0 2 6 6 0 2 6 6 6 6 5 5 2 0 0 6 2 0 0 6 2 6 6 0 2 6 0 6 2 5 5 5 5 5 5 2 6 6 6 2 0 0 0 2 6 6 6 2 6 6 6 2 5 5 5 5 5 5 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 6 6 6 6 2 6 0 0 2 6 6 6 2 6 6 6 2 6 0 6 2 5 5 6 6 6 6 2 0 0 0 2 0 6 6 2 6 6 6 2 6 6 0 2 2 2 2 2 2 2 2 6 0 6 2 0 0 6 2 6 6 0 2 0 6 0
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "6 0 6 2 6 6 0 2 6 6 6 2 0 0 5 2 0 6 5 2 6 6 6\n6 0 0 2 0 6 0 2 0 0 6 2 5 5 5 2 5 5 5 2 6 6 6\n6 0 6 2 6 0 0 2 6 0 6 2 5 6 0 2 5 6 6 2 0 0 6\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n6 0 6 2 6 6 6 2 0 6 0 2 6 6 0 2 6 6 6 2 6 0 0\n6 6 0 2 6 0 0 2 6 6 0 2 6 6 0 2 6 0 6 2 0 6 6\n6 0 6 2 6 6 0 2 6 6 6 2 6 6 0 2 6 0 0 2 6 6 6\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n6 6 0 2 6 6 0 2 0 6 6 2 0 6 0 2 6 0 6 2 0 0 6\n6 6 6 2 6 0 0 2 0 0 0 2 0 6 6 2 6 6 6 2 6 6 0\n0 6 6 2 6 6 6 2 6 0 0 2 0 6 0 2 6 6 6 2 0 6 0\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n6 6 0 2 6 6 0 2 0 6 0 2 6 0 0 2 6 6 5 2 6 6 6\n6 6 0 2 0 6 0 2 6 0 0 2 6 6 6 2 5 5 5 2 6 6 0\n6 0 0 2 0 6 6 2 6 0 0 2 6 0 0 2 5 6 6 2 6 6 0\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 6 6 6 6 5 5 2 6 0 6 2 6 6 0 2 0 6 0 2 6 6 0\n2 6 6 6 6 5 5 2 0 0 6 2 0 0 6 2 6 6 0 2 6 0 6\n2 5 5 5 5 5 5 2 6 6 6 2 0 0 0 2 6 6 6 2 6 6 6\n2 5 5 5 5 5 5 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 5 5 6 6 6 6 2 6 0 0 2 6 6 6 2 6 6 6 2 6 0 6\n2 5 5 6 6 6 6 2 0 0 0 2 0 6 6 2 6 6 6 2 6 6 0\n2 2 2 2 2 2 2 2 6 0 6 2 0 0 6 2 6 6 0 2 0 6 0", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n2 2 2 2 2 2 2 2 6 6 6 2 0 0 0 2 0 6 0 2 6 6 6\n2 6 6 4 4 6 6 2 0 6 6 2 0 0 0 2 6 6 6 2 0 0 0\n2 6 6 4 4 6 6 2 6 0 0 2 6 0 6 2 6 6 0 2 0 6 6\n2 6 6 4 4 4 4 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 6 6 4 4 4 4 2 0 0 6 2 6 6 6 2 0 6 6 2 6 6 6\n2 4 4 6 6 6 6 2 6 6 0 2 6 6 6 2 0 0 6 2 6 0 0\n2 4 4 6 6 6 6 2 0 6 0 2 0 6 0 2 6 0 6 2 6 6 6\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n6 6 0 2 0 0 6 2 0 6 6 2 6 0 0 2 6 0 0 2 6 0 0\n6 6 0 2 6 0 0 2 6 6 6 2 0 6 6 2 0 6 0 2 0 0 0\n0 6 6 2 0 6 6 2 0 6 6 2 6 6 0 2 6 0 0 2 0 0 0\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n6 6 6 2 6 6 6 2 6 6 6 2 6 6 0 2 6 0 6 2 0 0 6\n0 6 6 2 0 6 6 2 0 6 0 2 6 6 6 2 6 0 6 2 6 6 6\n0 0 6 2 6 0 6 2 6 6 6 2 0 0 0 2 6 0 6 2 6 0 0\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n6 0 6 2 6 6 0 2 6 0 6 2 0 6 0 2 0 6 6 2 6 0 6\n0 6 6 2 6 6 6 2 6 6 0 2 6 0 6 2 0 6 6 2 6 6 6\n6 6 0 2 0 6 6 2 6 0 0 2 6 6 0 2 6 6 0 2 6 0 6\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n6 6 0 2 0 6 6 2 0 6 6 2 0 6 0 2 0 6 6 2 0 0 0\n0 6 6 2 6 0 0 2 0 0 0 2 0 6 0 2 6 0 6 2 6 0 0\n6 0 6 2 0 6 6 2 0 6 6 2 6 6 6 2 6 6 0 2 0 6 6\nOutput:\n2 2 2 2 2 2 2 2 6 6 6 2 0 0 0 2 0 6 0 2 6 6 6\n2 6 6 4 4 6 6 2 0 6 6 2 0 0 0 2 6 6 6 2 0 0 0\n2 6 6 4 4 6 6 2 6 0 0 2 6 0 6 2 6 6 0 2 0 6 6\n2 6 6 4 4 4 4 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 6 6 4 4 4 4 2 0 0 6 2 6 6 6 2 0 6 6 2 6 6 6\n2 4 4 6 6 6 6 2 6 6 0 2 6 6 6 2 0 0 6 2 6 0 0\n2 4 4 6 6 6 6 2 0 6 0 2 0 6 0 2 6 0 6 2 6 6 6\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n6 6 0 2 0 4 6 2 0 6 6 2 6 0 0 2 6 0 0 2 6 4 0\n6 6 0 2 6 4 4 2 6 6 6 2 0 6 6 2 0 6 0 2 0 4 4\n0 6 6 2 4 6 6 2 0 6 6 2 6 6 0 2 6 0 0 2 4 0 0\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n6 6 6 2 6 6 6 2 6 6 6 2 6 6 0 2 6 0 6 2 0 0 6\n0 6 6 2 0 6 6 2 0 6 0 2 6 6 6 2 6 0 6 2 6 6 6\n0 0 6 2 6 0 6 2 6 6 6 2 0 0 0 2 6 0 6 2 6 0 0\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n6 0 6 2 6 6 0 2 6 0 6 2 0 6 0 2 0 6 6 2 6 0 6\n0 6 6 2 6 6 6 2 6 6 0 2 6 0 6 2 0 6 6 2 6 6 6\n6 6 0 2 0 6 6 2 6 0 0 2 6 6 0 2 6 6 0 2 6 0 6\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n6 6 0 2 0 6 6 2 0 6 6 2 0 6 0 2 0 6 6 2 0 4 0\n0 6 6 2 6 0 0 2 0 0 0 2 0 6 0 2 6 0 6 2 6 4 4\n6 0 6 2 0 6 6 2 0 6 6 2 6 6 6 2 6 6 0 2 4 6 6\n\nExample 2:\n\nInput:\n6 0 0 2 6 0 6 2 6 6 0 2 6 0 0 2 2 2 2 2 2 2 2\n0 0 0 2 0 6 0 2 6 6 6 2 0 6 0 2 7 7 6 6 6 6 2\n6 0 6 2 6 0 6 2 6 6 6 2 0 0 6 2 7 7 6 6 6 6 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 6 7 7 6 6 2\n6 6 6 2 0 0 0 2 0 6 6 2 6 0 6 2 6 6 7 7 6 6 2\n6 6 0 2 6 0 0 2 0 0 6 2 0 0 0 2 6 6 6 6 7 7 2\n0 0 6 2 0 6 6 2 0 6 0 2 0 0 0 2 6 6 6 6 7 7 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n0 6 0 2 0 0 0 2 0 6 6 2 6 0 0 2 6 0 6 2 0 0 6\n6 6 0 2 6 6 0 2 0 6 6 2 0 0 6 2 0 6 0 2 0 6 0\n6 6 0 2 6 6 0 2 6 6 6 2 6 6 6 2 0 6 0 2 0 0 0\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n6 0 6 2 6 6 6 2 6 0 6 2 6 0 6 2 6 0 0 2 0 0 6\n6 0 6 2 0 0 6 2 0 6 0 2 0 6 6 2 0 6 6 2 6 0 0\n6 0 6 2 6 0 0 2 6 0 6 2 6 0 0 2 6 0 0 2 0 0 6\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n6 0 6 2 0 6 0 2 0 6 6 2 6 6 0 2 0 0 6 2 6 0 0\n6 0 6 2 0 6 0 2 6 0 0 2 6 0 6 2 6 0 0 2 6 6 0\n6 6 0 2 6 6 0 2 6 6 0 2 0 6 6 2 0 0 0 2 6 6 0\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n6 0 0 2 6 6 6 2 6 0 6 2 0 6 0 2 6 6 0 2 0 0 6\n0 0 6 2 6 0 0 2 6 0 6 2 6 6 0 2 6 6 0 2 6 0 0\n6 6 6 2 6 6 0 2 6 0 0 2 0 0 0 2 0 6 6 2 6 6 0\nOutput:\n6 0 0 2 6 0 6 2 6 6 0 2 6 0 0 2 2 2 2 2 2 2 2\n0 0 0 2 0 6 0 2 6 6 6 2 0 6 0 2 7 7 6 6 6 6 2\n6 0 6 2 6 0 6 2 6 6 6 2 0 0 6 2 7 7 6 6 6 6 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 6 7 7 6 6 2\n6 6 6 2 0 0 0 2 7 6 6 2 6 0 6 2 6 6 7 7 6 6 2\n6 6 0 2 6 0 0 2 0 7 6 2 0 0 0 2 6 6 6 6 7 7 2\n0 0 6 2 0 6 6 2 0 6 7 2 0 0 0 2 6 6 6 6 7 7 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n0 6 0 2 0 0 0 2 0 6 6 2 6 0 0 2 6 0 6 2 0 0 6\n6 6 0 2 6 6 0 2 0 6 6 2 0 0 6 2 0 6 0 2 0 6 0\n6 6 0 2 6 6 0 2 6 6 6 2 6 6 6 2 0 6 0 2 0 0 0\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n6 0 6 2 6 6 6 2 6 0 6 2 6 0 6 2 6 0 0 2 0 0 6\n6 0 6 2 0 0 6 2 0 6 0 2 0 6 6 2 0 6 6 2 6 0 0\n6 0 6 2 6 0 0 2 6 0 6 2 6 0 0 2 6 0 0 2 0 0 6\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n6 0 6 2 0 6 0 2 7 6 6 2 6 6 0 2 7 0 6 2 6 0 0\n6 0 6 2 0 6 0 2 6 7 0 2 6 0 6 2 6 7 0 2 6 6 0\n6 6 0 2 6 6 0 2 6 6 7 2 0 6 6 2 0 0 7 2 6 6 0\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n6 0 0 2 6 6 6 2 6 0 6 2 0 6 0 2 6 6 0 2 7 0 6\n0 0 6 2 6 0 0 2 6 0 6 2 6 6 0 2 6 6 0 2 6 7 0\n6 6 6 2 6 6 0 2 6 0 0 2 0 0 0 2 0 6 6 2 6 6 7\n\nExample 3:\n\nInput:\n6 6 6 2 0 0 0 2 0 0 6 2 6 0 6 2 0 0 0 2 6 6 0\n0 6 0 2 6 0 0 2 6 0 6 2 0 6 6 2 0 6 0 2 6 0 0\n6 0 0 2 0 6 6 2 6 6 0 2 6 6 0 2 6 0 0 2 6 6 0\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n0 6 0 2 6 6 6 2 6 6 6 2 6 0 6 2 6 6 0 2 6 6 0\n6 6 0 2 0 6 6 2 6 0 6 2 6 0 6 2 0 6 0 2 6 0 6\n0 6 6 2 6 6 0 2 6 6 6 2 6 6 6 2 6 0 0 2 6 6 0\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n6 6 6 2 6 6 0 2 6 6 0 2 6 0 6 2 0 0 6 2 6 6 6\n6 0 6 2 6 6 0 2 6 6 0 2 0 0 6 2 0 0 6 2 6 6 6\n6 0 6 2 0 0 6 2 6 0 0 2 6 6 6 2 6 6 0 2 6 6 0\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n6 0 6 2 6 6 6 2 0 6 6 2 6 6 0 2 6 6 6 2 6 6 6\n6 6 6 2 0 0 6 2 6 6 6 2 6 6 0 2 6 6 6 2 0 0 6\n6 0 6 2 6 6 6 2 6 6 6 2 6 6 6 2 6 6 0 2 6 6 6\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n6 6 6 2 6 0 6 2 6 0 6 2 0 0 6 2 6 6 6 6 6 6 2\n6 6 6 2 6 0 6 2 6 0 6 2 0 0 6 2 6 6 6 6 6 6 2\n6 6 6 2 6 6 6 2 6 0 6 2 0 0 0 2 6 6 1 1 6 6 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 6 1 1 6 6 2\n6 6 6 2 6 6 6 2 6 6 6 2 0 0 6 2 1 1 6 6 1 1 2\n6 0 6 2 6 6 6 2 6 0 6 2 0 6 6 2 1 1 6 6 1 1 2\n6 6 6 2 6 0 6 2 0 6 0 2 0 6 6 2 2 2 2 2 2 2 2\nOutput:\n6 6 6 2 0 0 0 2 0 0 6 2 6 0 6 2 0 0 0 2 6 6 0\n0 6 0 2 6 0 0 2 6 0 6 2 0 6 6 2 0 6 0 2 6 0 0\n6 0 0 2 0 6 6 2 6 6 0 2 6 6 0 2 6 0 0 2 6 6 0\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n0 6 0 2 6 6 6 2 6 6 6 2 6 0 6 2 6 6 0 2 6 6 0\n6 6 0 2 0 6 6 2 6 0 6 2 6 0 6 2 0 6 0 2 6 0 6\n0 6 6 2 6 6 0 2 6 6 6 2 6 6 6 2 6 0 0 2 6 6 0\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n6 6 6 2 6 6 0 2 6 6 0 2 6 0 6 2 0 0 6 2 6 6 6\n6 0 6 2 6 6 0 2 6 6 0 2 0 0 6 2 0 0 6 2 6 6 6\n6 0 6 2 0 0 6 2 6 0 0 2 6 6 6 2 6 6 0 2 6 6 0\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n6 0 6 2 6 6 6 2 0 6 6 2 6 6 0 2 6 6 6 2 6 6 6\n6 6 6 2 0 0 6 2 6 6 6 2 6 6 0 2 6 6 6 2 0 0 6\n6 0 6 2 6 6 6 2 6 6 6 2 6 6 6 2 6 6 0 2 6 6 6\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n6 6 6 2 6 0 6 2 6 0 6 2 0 0 6 2 6 6 6 6 6 6 2\n6 6 6 2 6 0 6 2 6 0 6 2 0 1 6 2 6 6 6 6 6 6 2\n6 6 6 2 6 6 6 2 6 0 6 2 1 0 1 2 6 6 1 1 6 6 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 6 1 1 6 6 2\n6 6 6 2 6 6 6 2 6 6 6 2 0 0 6 2 1 1 6 6 1 1 2\n6 0 6 2 6 6 6 2 6 1 6 2 0 6 6 2 1 1 6 6 1 1 2\n6 6 6 2 6 0 6 2 1 6 1 2 0 6 6 2 2 2 2 2 2 2 2\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n6 0 6 2 6 6 0 2 6 6 6 2 0 0 0 2 0 6 0 2 6 6 6\n6 0 0 2 0 6 0 2 0 0 6 2 0 0 0 2 0 0 0 2 6 6 6\n6 0 6 2 6 0 0 2 6 0 6 2 0 6 0 2 0 6 6 2 0 0 6\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n6 0 6 2 6 6 6 2 0 6 0 2 6 6 0 2 6 6 6 2 6 0 0\n6 6 0 2 6 0 0 2 6 6 0 2 6 6 0 2 6 0 6 2 0 6 6\n6 0 6 2 6 6 0 2 6 6 6 2 6 6 0 2 6 0 0 2 6 6 6\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n6 6 0 2 6 6 0 2 0 6 6 2 0 6 0 2 6 0 6 2 0 0 6\n6 6 6 2 6 0 0 2 0 0 0 2 0 6 6 2 6 6 6 2 6 6 0\n0 6 6 2 6 6 6 2 6 0 0 2 0 6 0 2 6 6 6 2 0 6 0\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n6 6 0 2 6 6 0 2 0 6 0 2 6 0 0 2 6 6 0 2 6 6 6\n6 6 0 2 0 6 0 2 6 0 0 2 6 6 6 2 0 0 0 2 6 6 0\n6 0 0 2 0 6 6 2 6 0 0 2 6 0 0 2 0 6 6 2 6 6 0\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 6 6 6 6 5 5 2 6 0 6 2 6 6 0 2 0 6 0 2 6 6 0\n2 6 6 6 6 5 5 2 0 0 6 2 0 0 6 2 6 6 0 2 6 0 6\n2 5 5 5 5 5 5 2 6 6 6 2 0 0 0 2 6 6 6 2 6 6 6\n2 5 5 5 5 5 5 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 5 5 6 6 6 6 2 6 0 0 2 6 6 6 2 6 6 6 2 6 0 6\n2 5 5 6 6 6 6 2 0 0 0 2 0 6 6 2 6 6 6 2 6 6 0\n2 2 2 2 2 2 2 2 6 0 6 2 0 0 6 2 6 6 0 2 0 6 0\n", "answer": "6 0 6 2 6 6 0 2 6 6 6 2 0 0 5 2 0 6 5 2 6 6 6\n6 0 0 2 0 6 0 2 0 0 6 2 5 5 5 2 5 5 5 2 6 6 6\n6 0 6 2 6 0 0 2 6 0 6 2 5 6 0 2 5 6 6 2 0 0 6\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n6 0 6 2 6 6 6 2 0 6 0 2 6 6 0 2 6 6 6 2 6 0 0\n6 6 0 2 6 0 0 2 6 6 0 2 6 6 0 2 6 0 6 2 0 6 6\n6 0 6 2 6 6 0 2 6 6 6 2 6 6 0 2 6 0 0 2 6 6 6\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n6 6 0 2 6 6 0 2 0 6 6 2 0 6 0 2 6 0 6 2 0 0 6\n6 6 6 2 6 0 0 2 0 0 0 2 0 6 6 2 6 6 6 2 6 6 0\n0 6 6 2 6 6 6 2 6 0 0 2 0 6 0 2 6 6 6 2 0 6 0\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n6 6 0 2 6 6 0 2 0 6 0 2 6 0 0 2 6 6 5 2 6 6 6\n6 6 0 2 0 6 0 2 6 0 0 2 6 6 6 2 5 5 5 2 6 6 0\n6 0 0 2 0 6 6 2 6 0 0 2 6 0 0 2 5 6 6 2 6 6 0\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 6 6 6 6 5 5 2 6 0 6 2 6 6 0 2 0 6 0 2 6 6 0\n2 6 6 6 6 5 5 2 0 0 6 2 0 0 6 2 6 6 0 2 6 0 6\n2 5 5 5 5 5 5 2 6 6 6 2 0 0 0 2 6 6 6 2 6 6 6\n2 5 5 5 5 5 5 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 5 5 6 6 6 6 2 6 0 0 2 6 6 6 2 6 6 6 2 6 0 6\n2 5 5 6 6 6 6 2 0 0 0 2 0 6 6 2 6 6 6 2 6 6 0\n2 2 2 2 2 2 2 2 6 0 6 2 0 0 6 2 6 6 0 2 0 6 0", "metadata": {"source_dataset": "arc_agi", "source_index": 231, "input": [[6, 0, 6, 2, 6, 6, 0, 2, 6, 6, 6, 2, 0, 0, 0, 2, 0, 6, 0, 2, 6, 6, 6], [6, 0, 0, 2, 0, 6, 0, 2, 0, 0, 6, 2, 0, 0, 0, 2, 0, 0, 0, 2, 6, 6, 6], [6, 0, 6, 2, 6, 0, 0, 2, 6, 0, 6, 2, 0, 6, 0, 2, 0, 6, 6, 2, 0, 0, 6], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [6, 0, 6, 2, 6, 6, 6, 2, 0, 6, 0, 2, 6, 6, 0, 2, 6, 6, 6, 2, 6, 0, 0], [6, 6, 0, 2, 6, 0, 0, 2, 6, 6, 0, 2, 6, 6, 0, 2, 6, 0, 6, 2, 0, 6, 6], [6, 0, 6, 2, 6, 6, 0, 2, 6, 6, 6, 2, 6, 6, 0, 2, 6, 0, 0, 2, 6, 6, 6], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [6, 6, 0, 2, 6, 6, 0, 2, 0, 6, 6, 2, 0, 6, 0, 2, 6, 0, 6, 2, 0, 0, 6], [6, 6, 6, 2, 6, 0, 0, 2, 0, 0, 0, 2, 0, 6, 6, 2, 6, 6, 6, 2, 6, 6, 0], [0, 6, 6, 2, 6, 6, 6, 2, 6, 0, 0, 2, 0, 6, 0, 2, 6, 6, 6, 2, 0, 6, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [6, 6, 0, 2, 6, 6, 0, 2, 0, 6, 0, 2, 6, 0, 0, 2, 6, 6, 0, 2, 6, 6, 6], [6, 6, 0, 2, 0, 6, 0, 2, 6, 0, 0, 2, 6, 6, 6, 2, 0, 0, 0, 2, 6, 6, 0], [6, 0, 0, 2, 0, 6, 6, 2, 6, 0, 0, 2, 6, 0, 0, 2, 0, 6, 6, 2, 6, 6, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 6, 6, 6, 6, 5, 5, 2, 6, 0, 6, 2, 6, 6, 0, 2, 0, 6, 0, 2, 6, 6, 0], [2, 6, 6, 6, 6, 5, 5, 2, 0, 0, 6, 2, 0, 0, 6, 2, 6, 6, 0, 2, 6, 0, 6], [2, 5, 5, 5, 5, 5, 5, 2, 6, 6, 6, 2, 0, 0, 0, 2, 6, 6, 6, 2, 6, 6, 6], [2, 5, 5, 5, 5, 5, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 5, 5, 6, 6, 6, 6, 2, 6, 0, 0, 2, 6, 6, 6, 2, 6, 6, 6, 2, 6, 0, 6], [2, 5, 5, 6, 6, 6, 6, 2, 0, 0, 0, 2, 0, 6, 6, 2, 6, 6, 6, 2, 6, 6, 0], [2, 2, 2, 2, 2, 2, 2, 2, 6, 0, 6, 2, 0, 0, 6, 2, 6, 6, 0, 2, 0, 6, 0]], "output": [[6, 0, 6, 2, 6, 6, 0, 2, 6, 6, 6, 2, 0, 0, 5, 2, 0, 6, 5, 2, 6, 6, 6], [6, 0, 0, 2, 0, 6, 0, 2, 0, 0, 6, 2, 5, 5, 5, 2, 5, 5, 5, 2, 6, 6, 6], [6, 0, 6, 2, 6, 0, 0, 2, 6, 0, 6, 2, 5, 6, 0, 2, 5, 6, 6, 2, 0, 0, 6], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [6, 0, 6, 2, 6, 6, 6, 2, 0, 6, 0, 2, 6, 6, 0, 2, 6, 6, 6, 2, 6, 0, 0], [6, 6, 0, 2, 6, 0, 0, 2, 6, 6, 0, 2, 6, 6, 0, 2, 6, 0, 6, 2, 0, 6, 6], [6, 0, 6, 2, 6, 6, 0, 2, 6, 6, 6, 2, 6, 6, 0, 2, 6, 0, 0, 2, 6, 6, 6], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [6, 6, 0, 2, 6, 6, 0, 2, 0, 6, 6, 2, 0, 6, 0, 2, 6, 0, 6, 2, 0, 0, 6], [6, 6, 6, 2, 6, 0, 0, 2, 0, 0, 0, 2, 0, 6, 6, 2, 6, 6, 6, 2, 6, 6, 0], [0, 6, 6, 2, 6, 6, 6, 2, 6, 0, 0, 2, 0, 6, 0, 2, 6, 6, 6, 2, 0, 6, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [6, 6, 0, 2, 6, 6, 0, 2, 0, 6, 0, 2, 6, 0, 0, 2, 6, 6, 5, 2, 6, 6, 6], [6, 6, 0, 2, 0, 6, 0, 2, 6, 0, 0, 2, 6, 6, 6, 2, 5, 5, 5, 2, 6, 6, 0], [6, 0, 0, 2, 0, 6, 6, 2, 6, 0, 0, 2, 6, 0, 0, 2, 5, 6, 6, 2, 6, 6, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 6, 6, 6, 6, 5, 5, 2, 6, 0, 6, 2, 6, 6, 0, 2, 0, 6, 0, 2, 6, 6, 0], [2, 6, 6, 6, 6, 5, 5, 2, 0, 0, 6, 2, 0, 0, 6, 2, 6, 6, 0, 2, 6, 0, 6], [2, 5, 5, 5, 5, 5, 5, 2, 6, 6, 6, 2, 0, 0, 0, 2, 6, 6, 6, 2, 6, 6, 6], [2, 5, 5, 5, 5, 5, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 5, 5, 6, 6, 6, 6, 2, 6, 0, 0, 2, 6, 6, 6, 2, 6, 6, 6, 2, 6, 0, 6], [2, 5, 5, 6, 6, 6, 6, 2, 0, 0, 0, 2, 0, 6, 6, 2, 6, 6, 6, 2, 6, 6, 0], [2, 2, 2, 2, 2, 2, 2, 2, 6, 0, 6, 2, 0, 0, 6, 2, 6, 6, 0, 2, 0, 6, 0]], "task_id": "15113be4", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 231, "input": [[6, 0, 6, 2, 6, 6, 0, 2, 6, 6, 6, 2, 0, 0, 0, 2, 0, 6, 0, 2, 6, 6, 6], [6, 0, 0, 2, 0, 6, 0, 2, 0, 0, 6, 2, 0, 0, 0, 2, 0, 0, 0, 2, 6, 6, 6], [6, 0, 6, 2, 6, 0, 0, 2, 6, 0, 6, 2, 0, 6, 0, 2, 0, 6, 6, 2, 0, 0, 6], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [6, 0, 6, 2, 6, 6, 6, 2, 0, 6, 0, 2, 6, 6, 0, 2, 6, 6, 6, 2, 6, 0, 0], [6, 6, 0, 2, 6, 0, 0, 2, 6, 6, 0, 2, 6, 6, 0, 2, 6, 0, 6, 2, 0, 6, 6], [6, 0, 6, 2, 6, 6, 0, 2, 6, 6, 6, 2, 6, 6, 0, 2, 6, 0, 0, 2, 6, 6, 6], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [6, 6, 0, 2, 6, 6, 0, 2, 0, 6, 6, 2, 0, 6, 0, 2, 6, 0, 6, 2, 0, 0, 6], [6, 6, 6, 2, 6, 0, 0, 2, 0, 0, 0, 2, 0, 6, 6, 2, 6, 6, 6, 2, 6, 6, 0], [0, 6, 6, 2, 6, 6, 6, 2, 6, 0, 0, 2, 0, 6, 0, 2, 6, 6, 6, 2, 0, 6, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [6, 6, 0, 2, 6, 6, 0, 2, 0, 6, 0, 2, 6, 0, 0, 2, 6, 6, 0, 2, 6, 6, 6], [6, 6, 0, 2, 0, 6, 0, 2, 6, 0, 0, 2, 6, 6, 6, 2, 0, 0, 0, 2, 6, 6, 0], [6, 0, 0, 2, 0, 6, 6, 2, 6, 0, 0, 2, 6, 0, 0, 2, 0, 6, 6, 2, 6, 6, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 6, 6, 6, 6, 5, 5, 2, 6, 0, 6, 2, 6, 6, 0, 2, 0, 6, 0, 2, 6, 6, 0], [2, 6, 6, 6, 6, 5, 5, 2, 0, 0, 6, 2, 0, 0, 6, 2, 6, 6, 0, 2, 6, 0, 6], [2, 5, 5, 5, 5, 5, 5, 2, 6, 6, 6, 2, 0, 0, 0, 2, 6, 6, 6, 2, 6, 6, 6], [2, 5, 5, 5, 5, 5, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 5, 5, 6, 6, 6, 6, 2, 6, 0, 0, 2, 6, 6, 6, 2, 6, 6, 6, 2, 6, 0, 6], [2, 5, 5, 6, 6, 6, 6, 2, 0, 0, 0, 2, 0, 6, 6, 2, 6, 6, 6, 2, 6, 6, 0], [2, 2, 2, 2, 2, 2, 2, 2, 6, 0, 6, 2, 0, 0, 6, 2, 6, 6, 0, 2, 0, 6, 0]], "output": [[6, 0, 6, 2, 6, 6, 0, 2, 6, 6, 6, 2, 0, 0, 5, 2, 0, 6, 5, 2, 6, 6, 6], [6, 0, 0, 2, 0, 6, 0, 2, 0, 0, 6, 2, 5, 5, 5, 2, 5, 5, 5, 2, 6, 6, 6], [6, 0, 6, 2, 6, 0, 0, 2, 6, 0, 6, 2, 5, 6, 0, 2, 5, 6, 6, 2, 0, 0, 6], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [6, 0, 6, 2, 6, 6, 6, 2, 0, 6, 0, 2, 6, 6, 0, 2, 6, 6, 6, 2, 6, 0, 0], [6, 6, 0, 2, 6, 0, 0, 2, 6, 6, 0, 2, 6, 6, 0, 2, 6, 0, 6, 2, 0, 6, 6], [6, 0, 6, 2, 6, 6, 0, 2, 6, 6, 6, 2, 6, 6, 0, 2, 6, 0, 0, 2, 6, 6, 6], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [6, 6, 0, 2, 6, 6, 0, 2, 0, 6, 6, 2, 0, 6, 0, 2, 6, 0, 6, 2, 0, 0, 6], [6, 6, 6, 2, 6, 0, 0, 2, 0, 0, 0, 2, 0, 6, 6, 2, 6, 6, 6, 2, 6, 6, 0], [0, 6, 6, 2, 6, 6, 6, 2, 6, 0, 0, 2, 0, 6, 0, 2, 6, 6, 6, 2, 0, 6, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [6, 6, 0, 2, 6, 6, 0, 2, 0, 6, 0, 2, 6, 0, 0, 2, 6, 6, 5, 2, 6, 6, 6], [6, 6, 0, 2, 0, 6, 0, 2, 6, 0, 0, 2, 6, 6, 6, 2, 5, 5, 5, 2, 6, 6, 0], [6, 0, 0, 2, 0, 6, 6, 2, 6, 0, 0, 2, 6, 0, 0, 2, 5, 6, 6, 2, 6, 6, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 6, 6, 6, 6, 5, 5, 2, 6, 0, 6, 2, 6, 6, 0, 2, 0, 6, 0, 2, 6, 6, 0], [2, 6, 6, 6, 6, 5, 5, 2, 0, 0, 6, 2, 0, 0, 6, 2, 6, 6, 0, 2, 6, 0, 6], [2, 5, 5, 5, 5, 5, 5, 2, 6, 6, 6, 2, 0, 0, 0, 2, 6, 6, 6, 2, 6, 6, 6], [2, 5, 5, 5, 5, 5, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 5, 5, 6, 6, 6, 6, 2, 6, 0, 0, 2, 6, 6, 6, 2, 6, 6, 6, 2, 6, 0, 6], [2, 5, 5, 6, 6, 6, 6, 2, 0, 0, 0, 2, 0, 6, 6, 2, 6, 6, 6, 2, 6, 6, 0], [2, 2, 2, 2, 2, 2, 2, 2, 6, 0, 6, 2, 0, 0, 6, 2, 6, 6, 0, 2, 0, 6, 0]], "task_id": "15113be4", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null
General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 2 2 2 2 2 4 2 2 2 2 2 2 2 2 2 2 4 2 2 2 2 2 2 2 2 2 2 4 2 2 2 2 2 2 2 2 2 2 4 2 2 2 2 2 2 2 2 2 2 4 2 2 2 2 2 4 4 4 4 4 4 4 4 4 4 4 2 2 2 2 2 4 2 2 2 2 2 2 2 2 2 2 4 2 2 2 2 2 2 2 2 2 2 4 2 2 2 2 2 2 2 2 2 2 4 2 2 9 2 2 2 2 2 2 2 4 2 2 2 2 2 Output: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 9 2 2 2 2 2 2 2 Example 2: Input: 9 9 2 9 9 9 9 2 9 9 2 2 2 2 2 9 9 2 9 9 5 9 2 9 9 Output: 9 9 5 9 Example 3: Input: 5 5 5 3 5 5 5 5 5 5 3 5 4 5 5 5 5 3 5 5 5 3 3 3 3 3 3 3 5 5 5 3 5 5 5 5 5 5 3 5 5 5 5 5 5 3 5 5 5 Output: 5 5 5 5 4 5 5 5 5 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 4 4 4 4 4 4 0 4 4 4 4 4 4 4 4 4 4 4 4 0 4 4 4 4 4 4 4 4 4 4 4 4 0 4 4 4 4 4 4 4 4 4 4 4 4 0 4 4 4 4 4 4 4 4 4 4 4 4 0 4 4 3 4 4 4 4 4 4 4 4 4 0 4 4 4 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 0 4 4 4 4 4 4 4 4 4 4 4 4 0 4 4 4 4 4 4 4 4 4 4 4 4 0 4 4 4 4 4 4 4 4 4 4 4 4 0 4 4 4 4 4 4 4 4 4 4 4 4 0 4 4 4 4 4 4 4 4 4 4 4 4 0 4 4 4 4 4 4
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "4 4 4 4 4 4\n4 4 4 4 4 4\n4 4 4 4 4 4\n4 4 4 4 4 4\n4 4 3 4 4 4\n4 4 4 4 4 4", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n2 2 2 2 2 4 2 2 2 2 2\n2 2 2 2 2 4 2 2 2 2 2\n2 2 2 2 2 4 2 2 2 2 2\n2 2 2 2 2 4 2 2 2 2 2\n2 2 2 2 2 4 2 2 2 2 2\n4 4 4 4 4 4 4 4 4 4 4\n2 2 2 2 2 4 2 2 2 2 2\n2 2 2 2 2 4 2 2 2 2 2\n2 2 2 2 2 4 2 2 2 2 2\n2 2 2 2 2 4 2 2 9 2 2\n2 2 2 2 2 4 2 2 2 2 2\nOutput:\n2 2 2 2 2\n2 2 2 2 2\n2 2 2 2 2\n2 2 9 2 2\n2 2 2 2 2\n\nExample 2:\n\nInput:\n9 9 2 9 9\n9 9 2 9 9\n2 2 2 2 2\n9 9 2 9 9\n5 9 2 9 9\nOutput:\n9 9\n5 9\n\nExample 3:\n\nInput:\n5 5 5 3 5 5 5\n5 5 5 3 5 4 5\n5 5 5 3 5 5 5\n3 3 3 3 3 3 3\n5 5 5 3 5 5 5\n5 5 5 3 5 5 5\n5 5 5 3 5 5 5\nOutput:\n5 5 5\n5 4 5\n5 5 5\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n4 4 4 4 4 4 0 4 4 4 4 4 4\n4 4 4 4 4 4 0 4 4 4 4 4 4\n4 4 4 4 4 4 0 4 4 4 4 4 4\n4 4 4 4 4 4 0 4 4 4 4 4 4\n4 4 4 4 4 4 0 4 4 3 4 4 4\n4 4 4 4 4 4 0 4 4 4 4 4 4\n0 0 0 0 0 0 0 0 0 0 0 0 0\n4 4 4 4 4 4 0 4 4 4 4 4 4\n4 4 4 4 4 4 0 4 4 4 4 4 4\n4 4 4 4 4 4 0 4 4 4 4 4 4\n4 4 4 4 4 4 0 4 4 4 4 4 4\n4 4 4 4 4 4 0 4 4 4 4 4 4\n4 4 4 4 4 4 0 4 4 4 4 4 4\n", "answer": "4 4 4 4 4 4\n4 4 4 4 4 4\n4 4 4 4 4 4\n4 4 4 4 4 4\n4 4 3 4 4 4\n4 4 4 4 4 4", "metadata": {"source_dataset": "arc_agi", "source_index": 232, "input": [[4, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 0, 4, 4, 3, 4, 4, 4], [4, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 4]], "output": [[4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [4, 4, 3, 4, 4, 4], [4, 4, 4, 4, 4, 4]], "task_id": "2dc579da", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 232, "input": [[4, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 0, 4, 4, 3, 4, 4, 4], [4, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 4]], "output": [[4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [4, 4, 3, 4, 4, 4], [4, 4, 4, 4, 4, 4]], "task_id": "2dc579da", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null
General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 1 6 6 6 6 6 Output: 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 8 1 8 6 6 6 6 1 8 1 8 1 6 6 6 1 8 1 8 1 8 6 6 1 8 1 8 1 8 1 6 Example 2: Input: 6 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 1 6 6 6 6 6 6 1 6 6 6 6 6 6 1 6 6 6 Output: 6 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 8 1 8 6 6 6 1 8 1 8 1 6 8 1 8 1 8 1 8 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 6 1 6 6 6
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6\n6 6 6 6 6 1 6 6 6\n6 6 6 6 8 1 8 6 6\n6 6 6 1 8 1 8 1 6\n6 6 8 1 8 1 8 1 8\n6 1 8 1 8 1 8 1 8\n8 1 8 1 8 1 8 1 8\n8 1 8 1 8 1 8 1 8", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6\n6 6 1 6 6 6 6 6\n6 6 1 6 6 6 6 6\n6 6 1 6 6 6 6 6\n6 6 1 6 6 6 6 6\n6 6 1 6 6 6 6 6\nOutput:\n6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6\n6 6 1 6 6 6 6 6\n6 8 1 8 6 6 6 6\n1 8 1 8 1 6 6 6\n1 8 1 8 1 8 6 6\n1 8 1 8 1 8 1 6\n\nExample 2:\n\nInput:\n6 6 6 6 6 6 6\n6 6 6 1 6 6 6\n6 6 6 1 6 6 6\n6 6 6 1 6 6 6\n6 6 6 1 6 6 6\nOutput:\n6 6 6 6 6 6 6\n6 6 6 1 6 6 6\n6 6 8 1 8 6 6\n6 1 8 1 8 1 6\n8 1 8 1 8 1 8\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6\n6 6 6 6 6 1 6 6 6\n6 6 6 6 6 1 6 6 6\n6 6 6 6 6 1 6 6 6\n6 6 6 6 6 1 6 6 6\n6 6 6 6 6 1 6 6 6\n6 6 6 6 6 1 6 6 6\n6 6 6 6 6 1 6 6 6\n", "answer": "6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6\n6 6 6 6 6 1 6 6 6\n6 6 6 6 8 1 8 6 6\n6 6 6 1 8 1 8 1 6\n6 6 8 1 8 1 8 1 8\n6 1 8 1 8 1 8 1 8\n8 1 8 1 8 1 8 1 8\n8 1 8 1 8 1 8 1 8", "metadata": {"source_dataset": "arc_agi", "source_index": 233, "input": [[6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 1, 6, 6, 6], [6, 6, 6, 6, 6, 1, 6, 6, 6], [6, 6, 6, 6, 6, 1, 6, 6, 6], [6, 6, 6, 6, 6, 1, 6, 6, 6], [6, 6, 6, 6, 6, 1, 6, 6, 6], [6, 6, 6, 6, 6, 1, 6, 6, 6], [6, 6, 6, 6, 6, 1, 6, 6, 6]], "output": [[6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 1, 6, 6, 6], [6, 6, 6, 6, 8, 1, 8, 6, 6], [6, 6, 6, 1, 8, 1, 8, 1, 6], [6, 6, 8, 1, 8, 1, 8, 1, 8], [6, 1, 8, 1, 8, 1, 8, 1, 8], [8, 1, 8, 1, 8, 1, 8, 1, 8], [8, 1, 8, 1, 8, 1, 8, 1, 8]], "task_id": "db3e9e38", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 233, "input": [[6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 1, 6, 6, 6], [6, 6, 6, 6, 6, 1, 6, 6, 6], [6, 6, 6, 6, 6, 1, 6, 6, 6], [6, 6, 6, 6, 6, 1, 6, 6, 6], [6, 6, 6, 6, 6, 1, 6, 6, 6], [6, 6, 6, 6, 6, 1, 6, 6, 6], [6, 6, 6, 6, 6, 1, 6, 6, 6]], "output": [[6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 1, 6, 6, 6], [6, 6, 6, 6, 8, 1, 8, 6, 6], [6, 6, 6, 1, 8, 1, 8, 1, 6], [6, 6, 8, 1, 8, 1, 8, 1, 8], [6, 1, 8, 1, 8, 1, 8, 1, 8], [8, 1, 8, 1, 8, 1, 8, 1, 8], [8, 1, 8, 1, 8, 1, 8, 1, 8]], "task_id": "db3e9e38", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null
General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 5 5 5 5 5 5 5 5 5 5 5 5 0 0 0 0 0 0 0 0 0 0 0 0 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 7 7 7 7 7 7 7 7 7 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 8 8 8 8 8 5 9 9 9 9 5 8 5 5 5 5 5 5 9 9 9 9 5 5 5 5 5 5 5 5 9 9 9 9 5 5 4 4 4 4 4 5 9 9 9 9 5 4 5 5 5 5 5 5 5 5 5 5 5 5 Output: 0 0 0 0 7 7 7 7 8 8 8 8 4 4 4 4 Example 2: Input: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 9 9 9 9 9 9 5 5 5 5 5 5 5 5 5 9 9 9 9 9 9 5 8 8 8 8 8 8 8 5 9 9 9 9 9 9 5 5 5 5 5 5 5 5 5 9 9 9 9 9 9 5 5 5 5 5 5 5 5 5 9 9 9 9 9 9 5 7 7 7 7 7 7 7 5 9 9 9 9 9 9 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 Output: 2 2 2 2 2 2 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 0 0 0 0 0 0 4 4 4 4 4 4 Example 3: Input: 5 5 0 5 5 4 5 5 7 5 5 5 0 5 5 4 5 5 7 5 5 5 0 5 5 4 5 5 7 5 5 5 0 5 5 4 5 5 7 5 5 5 0 5 5 4 5 5 7 5 5 5 0 5 5 4 5 5 7 5 5 5 0 5 5 4 5 5 7 5 5 5 5 5 5 4 5 5 7 5 5 9 9 9 5 4 5 5 7 5 5 9 9 9 5 4 5 5 7 5 5 9 9 9 5 4 5 5 7 5 5 5 5 5 5 4 5 5 7 5 Output: 0 4 7 0 4 7 0 4 7 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 9 9 9 9 9 9 9 5 5 5 5 8 8 8 8 8 8 8 5 9 9 9 9 9 9 9 5 8 8 8 5 5 5 5 5 5 5 5 9 9 9 9 9 9 9 5 5 5 5 5 5 5 5 5 5 5 5 9 9 9 9 9 9 9 5 5 5 5 6 6 6 6 6 6 6 5 9 9 9 9 9 9 9 5 6 6 6 5 5 5 5 5 5 5 5 9 9 9 9 9 9 9 5 5 5 5 5 5 5 5 5 5 5 5 9 9 9 9 9 9 9 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "3 3 3 3 3 3 3\n0 0 0 0 0 0 0\n2 2 2 2 2 2 2\n7 7 7 7 7 7 7\n8 8 8 8 8 8 8\n6 6 6 6 6 6 6\n4 4 4 4 4 4 4", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n5 5 5 5 5 5 5 5 5 5 5 5\n0 0 0 0 0 0 0 0 0 0 0 0\n5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5\n7 7 7 7 7 7 7 7 7 7 7 7\n5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5\n8 8 8 8 8 5 9 9 9 9 5 8\n5 5 5 5 5 5 9 9 9 9 5 5\n5 5 5 5 5 5 9 9 9 9 5 5\n4 4 4 4 4 5 9 9 9 9 5 4\n5 5 5 5 5 5 5 5 5 5 5 5\nOutput:\n0 0 0 0\n7 7 7 7\n8 8 8 8\n4 4 4 4\n\nExample 2:\n\nInput:\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 9 9 9 9 9 9 5 5 5 5 5 5 5 5\n5 9 9 9 9 9 9 5 8 8 8 8 8 8 8\n5 9 9 9 9 9 9 5 5 5 5 5 5 5 5\n5 9 9 9 9 9 9 5 5 5 5 5 5 5 5\n5 9 9 9 9 9 9 5 7 7 7 7 7 7 7\n5 9 9 9 9 9 9 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\nOutput:\n2 2 2 2 2 2\n8 8 8 8 8 8\n7 7 7 7 7 7\n6 6 6 6 6 6\n0 0 0 0 0 0\n4 4 4 4 4 4\n\nExample 3:\n\nInput:\n5 5 0 5 5 4 5 5 7 5\n5 5 0 5 5 4 5 5 7 5\n5 5 0 5 5 4 5 5 7 5\n5 5 0 5 5 4 5 5 7 5\n5 5 0 5 5 4 5 5 7 5\n5 5 0 5 5 4 5 5 7 5\n5 5 0 5 5 4 5 5 7 5\n5 5 5 5 5 4 5 5 7 5\n5 9 9 9 5 4 5 5 7 5\n5 9 9 9 5 4 5 5 7 5\n5 9 9 9 5 4 5 5 7 5\n5 5 5 5 5 4 5 5 7 5\nOutput:\n0 4 7\n0 4 7\n0 4 7\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 9 9 9 9 9 9 9 5 5 5 5\n8 8 8 8 8 8 8 5 9 9 9 9 9 9 9 5 8 8 8\n5 5 5 5 5 5 5 5 9 9 9 9 9 9 9 5 5 5 5\n5 5 5 5 5 5 5 5 9 9 9 9 9 9 9 5 5 5 5\n6 6 6 6 6 6 6 5 9 9 9 9 9 9 9 5 6 6 6\n5 5 5 5 5 5 5 5 9 9 9 9 9 9 9 5 5 5 5\n5 5 5 5 5 5 5 5 9 9 9 9 9 9 9 5 5 5 5\n4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4\n", "answer": "3 3 3 3 3 3 3\n0 0 0 0 0 0 0\n2 2 2 2 2 2 2\n7 7 7 7 7 7 7\n8 8 8 8 8 8 8\n6 6 6 6 6 6 6\n4 4 4 4 4 4 4", "metadata": {"source_dataset": "arc_agi", "source_index": 234, "input": [[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5], [8, 8, 8, 8, 8, 8, 8, 5, 9, 9, 9, 9, 9, 9, 9, 5, 8, 8, 8], [5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6, 6, 5, 9, 9, 9, 9, 9, 9, 9, 5, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4]], "output": [[3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0], [2, 2, 2, 2, 2, 2, 2], [7, 7, 7, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4]], "task_id": "8e1813be", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 234, "input": [[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5], [8, 8, 8, 8, 8, 8, 8, 5, 9, 9, 9, 9, 9, 9, 9, 5, 8, 8, 8], [5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6, 6, 5, 9, 9, 9, 9, 9, 9, 9, 5, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5], [4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4]], "output": [[3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0], [2, 2, 2, 2, 2, 2, 2], [7, 7, 7, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 4, 4, 4, 4]], "task_id": "8e1813be", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null
General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 0 0 0 0 0 0 0 7 0 0 0 7 0 0 0 0 0 0 0 0 0 0 0 7 0 0 0 0 0 0 0 0 7 0 7 0 0 0 0 7 0 7 0 0 0 0 7 7 0 0 0 7 0 0 7 7 7 7 0 0 0 0 7 0 0 0 0 0 0 0 0 0 0 7 0 0 0 0 0 0 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 0 7 Output: 0 0 0 0 0 0 0 3 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 3 0 7 0 0 0 0 7 0 3 0 0 0 0 3 3 0 0 0 3 0 0 7 7 3 3 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 7 Example 2: Input: 0 0 0 0 0 0 0 0 0 7 0 7 0 0 0 0 0 0 7 0 0 0 0 0 0 7 0 7 0 0 0 0 7 0 0 0 0 0 0 0 0 0 7 7 7 0 0 7 7 7 7 0 7 7 0 0 7 7 7 7 0 0 7 0 0 0 0 7 0 0 0 0 0 0 0 7 0 0 0 0 0 7 0 0 0 0 0 0 7 0 0 7 0 0 0 0 0 0 0 7 Output: 0 0 0 0 0 0 0 0 0 3 0 3 0 0 0 0 0 0 3 0 0 0 0 0 0 3 0 7 0 0 0 0 3 0 0 0 0 0 0 0 0 0 3 3 7 0 0 3 3 3 7 0 3 3 0 0 7 3 3 3 0 0 3 0 0 0 0 7 0 0 0 0 0 0 0 3 0 0 0 0 0 3 0 0 0 0 0 0 3 0 0 7 0 0 0 0 0 0 0 3 Example 3: Input: 0 0 0 0 0 7 0 0 0 0 0 0 0 0 0 0 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 0 0 0 7 7 0 0 7 7 7 7 0 7 7 7 0 0 7 7 7 0 0 7 7 0 0 0 0 0 7 0 0 7 7 0 0 0 0 0 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 0 0 0 0 Output: 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 3 7 0 0 3 3 3 7 0 3 3 7 0 0 3 3 3 0 0 3 3 0 0 0 0 0 3 0 0 7 3 0 0 0 0 0 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 Example 4: Input: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 0 0 7 0 0 0 0 0 0 0 0 0 7 7 0 0 0 0 0 0 0 7 7 0 7 0 0 0 0 0 0 0 7 0 7 0 0 0 0 7 7 0 7 0 0 0 0 0 0 0 0 0 7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Output: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 0 0 3 0 0 0 0 0 0 0 0 0 3 7 0 0 0 0 0 0 0 7 3 0 3 0 0 0 0 0 0 0 3 0 3 0 0 0 0 7 7 0 3 0 0 0 0 0 0 0 0 0 3 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 0 0 0 0 0 0 0 0 0 0 7 0 0 7 0 0 7 0 0 0 0 0 0 0 0 0 0 0 0 7 0 0 0 0 0 0 7 0 7 7 0 7 7 0 7 0 7 7 7 7 0 0 0 0 7 7 7 7 7 7 0 0 0 0 0 0 7 0 7 7 0 0 0 7 0 0 0 0 7 0 7 0 0 0 0 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "0 0 0 0 0 0 0 0 0 0\n3 0 0 7 0 0 3 0 0 0\n0 0 0 0 0 0 0 0 0 7\n0 0 0 0 0 0 3 0 3 3\n0 7 7 0 3 0 3 3 3 3\n0 0 0 0 3 7 3 3 3 3\n0 0 0 0 0 0 3 0 3 3\n0 0 0 7 0 0 0 0 7 0\n3 0 0 0 0 0 3 0 0 0\n0 0 0 0 0 0 0 0 0 0", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n0 0 0 0 0 0 0 7 0 0\n0 7 0 0 0 0 0 0 0 0\n0 0 0 7 0 0 0 0 0 0\n0 0 7 0 7 0 0 0 0 7\n0 7 0 0 0 0 7 7 0 0\n0 7 0 0 7 7 7 7 0 0\n0 0 7 0 0 0 0 0 0 0\n0 0 0 7 0 0 0 0 0 0\n0 7 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 7 0 7\nOutput:\n0 0 0 0 0 0 0 3 0 0\n0 3 0 0 0 0 0 0 0 0\n0 0 0 3 0 0 0 0 0 0\n0 0 3 0 7 0 0 0 0 7\n0 3 0 0 0 0 3 3 0 0\n0 3 0 0 7 7 3 3 0 0\n0 0 3 0 0 0 0 0 0 0\n0 0 0 3 0 0 0 0 0 0\n0 3 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 3 0 7\n\nExample 2:\n\nInput:\n0 0 0 0 0 0 0 0 0 7\n0 7 0 0 0 0 0 0 7 0\n0 0 0 0 0 7 0 7 0 0\n0 0 7 0 0 0 0 0 0 0\n0 0 7 7 7 0 0 7 7 7\n7 0 7 7 0 0 7 7 7 7\n0 0 7 0 0 0 0 7 0 0\n0 0 0 0 0 7 0 0 0 0\n0 7 0 0 0 0 0 0 7 0\n0 7 0 0 0 0 0 0 0 7\nOutput:\n0 0 0 0 0 0 0 0 0 3\n0 3 0 0 0 0 0 0 3 0\n0 0 0 0 0 3 0 7 0 0\n0 0 3 0 0 0 0 0 0 0\n0 0 3 3 7 0 0 3 3 3\n7 0 3 3 0 0 7 3 3 3\n0 0 3 0 0 0 0 7 0 0\n0 0 0 0 0 3 0 0 0 0\n0 3 0 0 0 0 0 0 3 0\n0 7 0 0 0 0 0 0 0 3\n\nExample 3:\n\nInput:\n0 0 0 0 0 7 0 0 0 0\n0 0 0 0 0 0 0 7 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 7 0 0 0 7 7 0\n0 7 7 7 7 0 7 7 7 0\n0 7 7 7 0 0 7 7 0 0\n0 0 0 7 0 0 7 7 0 0\n0 0 0 0 7 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 7 0 0 0 0\nOutput:\n0 0 0 0 0 3 0 0 0 0\n0 0 0 0 0 0 0 7 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 3 0 0 0 3 7 0\n0 3 3 3 7 0 3 3 7 0\n0 3 3 3 0 0 3 3 0 0\n0 0 0 3 0 0 7 3 0 0\n0 0 0 0 7 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 3 0 0 0 0\n\nExample 4:\n\nInput:\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n7 0 0 7 0 0 0 0 0 0\n0 0 0 7 7 0 0 0 0 0\n0 0 7 7 0 7 0 0 0 0\n0 0 0 7 0 7 0 0 0 0\n7 7 0 7 0 0 0 0 0 0\n0 0 0 7 7 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\nOutput:\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n7 0 0 3 0 0 0 0 0 0\n0 0 0 3 7 0 0 0 0 0\n0 0 7 3 0 3 0 0 0 0\n0 0 0 3 0 3 0 0 0 0\n7 7 0 3 0 0 0 0 0 0\n0 0 0 3 7 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n0 0 0 0 0 0 0 0 0 0\n7 0 0 7 0 0 7 0 0 0\n0 0 0 0 0 0 0 0 0 7\n0 0 0 0 0 0 7 0 7 7\n0 7 7 0 7 0 7 7 7 7\n0 0 0 0 7 7 7 7 7 7\n0 0 0 0 0 0 7 0 7 7\n0 0 0 7 0 0 0 0 7 0\n7 0 0 0 0 0 7 0 0 0\n0 0 0 0 0 0 0 0 0 0\n", "answer": "0 0 0 0 0 0 0 0 0 0\n3 0 0 7 0 0 3 0 0 0\n0 0 0 0 0 0 0 0 0 7\n0 0 0 0 0 0 3 0 3 3\n0 7 7 0 3 0 3 3 3 3\n0 0 0 0 3 7 3 3 3 3\n0 0 0 0 0 0 3 0 3 3\n0 0 0 7 0 0 0 0 7 0\n3 0 0 0 0 0 3 0 0 0\n0 0 0 0 0 0 0 0 0 0", "metadata": {"source_dataset": "arc_agi", "source_index": 235, "input": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 0, 7, 0, 0, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 7], [0, 0, 0, 0, 0, 0, 7, 0, 7, 7], [0, 7, 7, 0, 7, 0, 7, 7, 7, 7], [0, 0, 0, 0, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 7, 0, 7, 7], [0, 0, 0, 7, 0, 0, 0, 0, 7, 0], [7, 0, 0, 0, 0, 0, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], "output": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 7, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 7], [0, 0, 0, 0, 0, 0, 3, 0, 3, 3], [0, 7, 7, 0, 3, 0, 3, 3, 3, 3], [0, 0, 0, 0, 3, 7, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 3, 0, 3, 3], [0, 0, 0, 7, 0, 0, 0, 0, 7, 0], [3, 0, 0, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], "task_id": "ce039d91", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 235, "input": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 0, 7, 0, 0, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 7], [0, 0, 0, 0, 0, 0, 7, 0, 7, 7], [0, 7, 7, 0, 7, 0, 7, 7, 7, 7], [0, 0, 0, 0, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 7, 0, 7, 7], [0, 0, 0, 7, 0, 0, 0, 0, 7, 0], [7, 0, 0, 0, 0, 0, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], "output": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 7, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 7], [0, 0, 0, 0, 0, 0, 3, 0, 3, 3], [0, 7, 7, 0, 3, 0, 3, 3, 3, 3], [0, 0, 0, 0, 3, 7, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 3, 0, 3, 3], [0, 0, 0, 7, 0, 0, 0, 0, 7, 0], [3, 0, 0, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], "task_id": "ce039d91", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
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General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 6 6 6 6 6 6 7 6 9 6 6 6 6 6 7 6 6 6 6 7 6 6 6 6 6 9 6 6 6 6 6 6 7 6 7 6 6 6 6 6 6 6 9 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 9 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 9 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 9 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 9 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 9 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 7 9 6 6 6 6 6 6 6 6 Output: 6 6 6 6 6 6 6 7 9 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 9 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 9 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 9 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 9 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 9 6 6 6 6 6 6 6 6 Example 2: Input: 6 1 6 1 6 1 6 9 6 6 1 6 6 6 6 6 6 6 6 6 6 6 9 6 6 6 6 6 6 6 1 6 6 6 1 6 6 9 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 1 6 6 6 1 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 9 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 6 6 6 1 6 6 6 6 6 6 6 6 6 6 9 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 6 6 6 1 6 6 6 6 6 6 1 6 6 6 6 6 1 6 6 1 6 6 Output: 6 6 6 6 6 6 1 9 1 6 6 6 6 6 6 6 6 6 6 6 6 6 9 6 6 6 6 6 6 6 6 6 6 6 6 6 1 9 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 1 9 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 1 6 6 6 6 6 6 6 6 6 6 6 6 6 9 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 Example 3: Input: 6 8 6 6 6 6 6 6 6 6 8 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 8 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 9 9 9 9 9 9 9 9 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 8 6 6 6 8 6 6 6 6 6 6 6 6 6 6 8 6 6 8 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 8 6 6 6 8 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 8 8 6 6 6 6 6 6 6 6 6 6 6 Output: 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 8 6 6 6 6 6 6 8 6 6 6 9 9 9 9 9 9 9 9 9 6 6 6 8 6 8 6 6 8 8 8 8 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 6 6 6 6 4 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 4 6 6 4 6 6 6 6 6 6 6 6 6 6 6 9 9 9 6 6 9 9 9 6 9 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 6 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 6 4 6 6 4 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6 6 4
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 4 6 4 6 6\n9 9 9 6 6 9 9 9 6 9\n4 6 4 6 6 4 6 6 6 4\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n6 6 6 6 6 6 7 6 9 6 6 6 6 6 7 6 6\n6 6 7 6 6 6 6 6 9 6 6 6 6 6 6 7 6\n7 6 6 6 6 6 6 6 9 6 7 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 9 6 6 6 7 6 6 6 6\n6 6 6 6 6 6 6 6 9 6 6 6 6 6 6 6 6\n6 6 6 6 6 7 6 6 9 6 6 6 6 6 6 6 6\n6 6 7 6 6 6 6 6 9 6 6 6 6 7 6 6 6\n6 6 6 6 6 6 6 6 9 6 6 6 6 6 7 6 6\n6 6 6 6 6 6 6 6 9 6 6 6 6 6 6 6 6\n6 6 6 6 7 6 6 7 9 6 6 6 6 6 6 6 6\nOutput:\n6 6 6 6 6 6 6 7 9 7 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 7 9 7 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 7 9 7 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 9 7 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 9 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 7 9 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 7 9 7 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 9 7 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 9 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 7 9 6 6 6 6 6 6 6 6\n\nExample 2:\n\nInput:\n6 1 6 1 6 1 6 9 6 6 1 6 6 6 6\n6 6 6 6 6 6 6 9 6 6 6 6 6 6 6\n1 6 6 6 1 6 6 9 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 1 6 6\n6 1 6 6 6 1 6 6 6 6 6 6 6 6 6\n1 6 6 6 6 6 6 9 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 9 6 6 6 1 6 6 6\n6 6 6 6 6 6 6 9 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 9 6 6 6 1 6 6 6\n6 6 6 1 6 6 6 6 6 1 6 6 1 6 6\nOutput:\n6 6 6 6 6 6 1 9 1 6 6 6 6 6 6\n6 6 6 6 6 6 6 9 6 6 6 6 6 6 6\n6 6 6 6 6 6 1 9 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 1 9 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 9 1 6 6 6 6 6 6\n6 6 6 6 6 6 6 9 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 9 1 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n\nExample 3:\n\nInput:\n6 8 6 6 6 6 6 6 6 6 8 6\n6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 8 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6\n9 9 9 9 9 9 9 9 9 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6\n6 6 8 6 6 6 8 6 6 6 6 6\n6 6 6 6 6 8 6 6 8 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 8 6 6 6 8\n6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 8\n8 6 6 6 6 6 6 6 6 6 6 6\nOutput:\n6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6\n6 8 6 6 6 6 6 6 8 6 6 6\n9 9 9 9 9 9 9 9 9 6 6 6\n8 6 8 6 6 8 8 8 8 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n6 6 6 6 4 6 6 6 4 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 4 6 6\n6 6 6 6 4 6 6 6 6 6\n6 6 6 6 6 4 6 6 4 6\n6 6 6 6 6 6 6 6 6 6\n9 9 9 6 6 9 9 9 6 9\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 4\n6 6 4 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 4 6\n4 6 6 4 6 4 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 4 6 6 6 6 6 4\n", "answer": "6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 4 6 4 6 6\n9 9 9 6 6 9 9 9 6 9\n4 6 4 6 6 4 6 6 6 4\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6", "metadata": {"source_dataset": "arc_agi", "source_index": 236, "input": [[6, 6, 6, 6, 4, 6, 6, 6, 4, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 4, 6, 6], [6, 6, 6, 6, 4, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 4, 6, 6, 4, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [9, 9, 9, 6, 6, 9, 9, 9, 6, 9], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 4], [6, 6, 4, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 4, 6], [4, 6, 6, 4, 6, 4, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 4, 6, 6, 6, 6, 6, 4]], "output": [[6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 4, 6, 4, 6, 6], [9, 9, 9, 6, 6, 9, 9, 9, 6, 9], [4, 6, 4, 6, 6, 4, 6, 6, 6, 4], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6]], "task_id": "f83cb3f6", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 236, "input": [[6, 6, 6, 6, 4, 6, 6, 6, 4, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 4, 6, 6], [6, 6, 6, 6, 4, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 4, 6, 6, 4, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [9, 9, 9, 6, 6, 9, 9, 9, 6, 9], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 4], [6, 6, 4, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 4, 6], [4, 6, 6, 4, 6, 4, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 4, 6, 6, 6, 6, 6, 4]], "output": [[6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 4, 6, 4, 6, 6], [9, 9, 9, 6, 6, 9, 9, 9, 6, 9], [4, 6, 4, 6, 6, 4, 6, 6, 6, 4], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6]], "task_id": "f83cb3f6", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null
General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 0 0 0 6 6 6 0 0 0 0 0 0 0 0 6 0 0 0 6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 6 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 6 0 6 0 0 0 0 6 0 0 0 0 0 0 6 0 0 6 0 0 0 0 0 0 0 0 0 0 0 6 6 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Output: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 0 0 0 9 9 9 0 0 0 0 0 0 0 0 6 0 0 0 9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 9 9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 6 0 6 0 0 0 0 6 0 0 0 0 0 0 6 0 0 6 0 0 0 0 0 0 0 0 0 0 0 6 6 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Example 2: Input: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 6 6 6 6 0 0 0 0 6 0 0 0 6 0 0 0 0 6 6 6 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 6 0 0 0 6 6 0 0 6 0 0 0 0 0 0 0 0 6 0 Output: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 9 9 9 9 0 0 0 0 9 0 0 0 9 0 0 0 0 9 9 9 9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 6 0 0 0 6 6 0 0 6 0 0 0 0 0 0 0 0 6 0 Example 3: Input: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 6 6 0 0 0 0 0 0 0 0 0 0 0 0 6 0 6 0 0 0 0 6 6 6 6 0 0 0 0 6 0 6 0 0 0 0 6 0 0 6 0 0 0 0 0 0 0 0 0 0 0 6 6 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 0 0 6 6 6 6 0 0 6 0 0 0 0 0 0 0 0 6 0 0 6 0 0 0 0 0 0 0 0 0 0 0 6 0 0 6 0 0 0 0 0 0 0 0 0 0 0 6 6 6 6 0 0 0 6 6 6 0 0 0 0 0 0 0 0 0 0 0 0 6 0 6 0 6 6 6 6 0 0 0 0 0 0 0 6 0 6 0 6 0 0 6 0 0 0 6 6 0 0 6 6 6 0 6 6 6 6 0 0 0 0 0 0 0 0 0 0 Output: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 6 6 0 0 0 0 0 0 0 0 0 0 0 0 6 0 6 0 0 0 0 9 9 9 9 0 0 0 0 6 0 6 0 0 0 0 9 0 0 9 0 0 0 0 0 0 0 0 0 0 0 9 9 9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 0 0 9 9 9 9 0 0 6 0 0 0 0 0 0 0 0 9 0 0 9 0 0 0 0 0 0 0 0 0 0 0 9 0 0 9 0 0 0 0 0 0 0 0 0 0 0 9 9 9 9 0 0 0 9 9 9 0 0 0 0 0 0 0 0 0 0 0 0 9 0 9 0 9 9 9 9 0 0 0 0 0 0 0 9 0 9 0 9 0 0 9 0 0 0 6 6 0 0 9 9 9 0 9 9 9 9 0 0 0 0 0 0 0 0 0 0 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 6 6 6 6 6 0 0 0 0 0 0 0 6 0 0 0 6 0 0 6 6 6 6 0 6 0 0 0 6 0 0 6 0 0 6 0 6 0 0 0 6 0 0 6 6 6 6 0 6 6 0 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 6 0 0 0 0 6 6 6 6 6 0 0 0 0 6 0 0 6 0 0 0 6 0 0 6 0 0 0 0 6 0 0 0 6 0 0 0 0 0 0 0 6 6 6 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "6 6 6 6 6 0 0 0 0 0 0 0\n6 0 0 0 6 0 0 9 9 9 9 0\n6 0 0 0 6 0 0 9 0 0 9 0\n6 0 0 0 6 0 0 9 9 9 9 0\n6 6 0 6 6 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 6 6 0\n0 0 0 9 9 9 9 9 0 0 0 0\n6 0 0 9 0 0 0 9 0 0 6 0\n0 0 0 9 0 0 0 9 0 0 0 0\n0 0 0 9 9 9 9 9 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 6 0 0 0 6 6 6 0 0 0 0\n0 0 0 0 6 0 0 0 6 0 6 0 0 0 0\n0 0 0 0 0 0 0 0 6 6 6 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 6 6 0 6 0 0 0 0 6 0 0 0 0\n0 0 6 0 0 6 0 0 0 0 0 0 0 0 0\n0 0 6 6 6 6 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\nOutput:\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 6 0 0 0 9 9 9 0 0 0 0\n0 0 0 0 6 0 0 0 9 0 9 0 0 0 0\n0 0 0 0 0 0 0 0 9 9 9 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 6 6 0 6 0 0 0 0 6 0 0 0 0\n0 0 6 0 0 6 0 0 0 0 0 0 0 0 0\n0 0 6 6 6 6 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n\nExample 2:\n\nInput:\n0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0\n0 0 0 6 6 6 6 6 0\n0 0 0 6 0 0 0 6 0\n0 0 0 6 6 6 6 6 0\n0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 6 6\n0 0 0 6 6 0 0 6 0\n0 0 0 0 0 0 0 6 0\nOutput:\n0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0\n0 0 0 9 9 9 9 9 0\n0 0 0 9 0 0 0 9 0\n0 0 0 9 9 9 9 9 0\n0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 6 6\n0 0 0 6 6 0 0 6 0\n0 0 0 0 0 0 0 6 0\n\nExample 3:\n\nInput:\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 6 6 6 0 0 0 0 0 0 0 0 0 0\n0 0 6 0 6 0 0 0 0 6 6 6 6 0 0\n0 0 6 0 6 0 0 0 0 6 0 0 6 0 0\n0 0 0 0 0 0 0 0 0 6 6 6 6 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 6 6 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 6 0 0 6 6 6 6 0 0 6 0 0 0\n0 0 0 0 0 6 0 0 6 0 0 0 0 0 0\n0 0 0 0 0 6 0 0 6 0 0 0 0 0 0\n0 0 0 0 0 6 6 6 6 0 0 0 6 6 6\n0 0 0 0 0 0 0 0 0 0 0 0 6 0 6\n0 6 6 6 6 0 0 0 0 0 0 0 6 0 6\n0 6 0 0 6 0 0 0 6 6 0 0 6 6 6\n0 6 6 6 6 0 0 0 0 0 0 0 0 0 0\nOutput:\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 6 6 6 0 0 0 0 0 0 0 0 0 0\n0 0 6 0 6 0 0 0 0 9 9 9 9 0 0\n0 0 6 0 6 0 0 0 0 9 0 0 9 0 0\n0 0 0 0 0 0 0 0 0 9 9 9 9 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 6 6 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 6 0 0 9 9 9 9 0 0 6 0 0 0\n0 0 0 0 0 9 0 0 9 0 0 0 0 0 0\n0 0 0 0 0 9 0 0 9 0 0 0 0 0 0\n0 0 0 0 0 9 9 9 9 0 0 0 9 9 9\n0 0 0 0 0 0 0 0 0 0 0 0 9 0 9\n0 9 9 9 9 0 0 0 0 0 0 0 9 0 9\n0 9 0 0 9 0 0 0 6 6 0 0 9 9 9\n0 9 9 9 9 0 0 0 0 0 0 0 0 0 0\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n6 6 6 6 6 0 0 0 0 0 0 0\n6 0 0 0 6 0 0 6 6 6 6 0\n6 0 0 0 6 0 0 6 0 0 6 0\n6 0 0 0 6 0 0 6 6 6 6 0\n6 6 0 6 6 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 6 6 0\n0 0 0 6 6 6 6 6 0 0 0 0\n6 0 0 6 0 0 0 6 0 0 6 0\n0 0 0 6 0 0 0 6 0 0 0 0\n0 0 0 6 6 6 6 6 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0\n", "answer": "6 6 6 6 6 0 0 0 0 0 0 0\n6 0 0 0 6 0 0 9 9 9 9 0\n6 0 0 0 6 0 0 9 0 0 9 0\n6 0 0 0 6 0 0 9 9 9 9 0\n6 6 0 6 6 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 6 6 0\n0 0 0 9 9 9 9 9 0 0 0 0\n6 0 0 9 0 0 0 9 0 0 6 0\n0 0 0 9 0 0 0 9 0 0 0 0\n0 0 0 9 9 9 9 9 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0", "metadata": {"source_dataset": "arc_agi", "source_index": 237, "input": [[6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0], [6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0], [6, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0], [6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0], [0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0], [6, 0, 0, 6, 0, 0, 0, 6, 0, 0, 6, 0], [0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], "output": [[6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 6, 0, 0, 9, 9, 9, 9, 0], [6, 0, 0, 0, 6, 0, 0, 9, 0, 0, 9, 0], [6, 0, 0, 0, 6, 0, 0, 9, 9, 9, 9, 0], [6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0], [0, 0, 0, 9, 9, 9, 9, 9, 0, 0, 0, 0], [6, 0, 0, 9, 0, 0, 0, 9, 0, 0, 6, 0], [0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0], [0, 0, 0, 9, 9, 9, 9, 9, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], "task_id": "810b9b61", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 237, "input": [[6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0], [6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0], [6, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0], [6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0], [0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0], [6, 0, 0, 6, 0, 0, 0, 6, 0, 0, 6, 0], [0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], "output": [[6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 6, 0, 0, 9, 9, 9, 9, 0], [6, 0, 0, 0, 6, 0, 0, 9, 0, 0, 9, 0], [6, 0, 0, 0, 6, 0, 0, 9, 9, 9, 9, 0], [6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0], [0, 0, 0, 9, 9, 9, 9, 9, 0, 0, 0, 0], [6, 0, 0, 9, 0, 0, 0, 9, 0, 0, 6, 0], [0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0], [0, 0, 0, 9, 9, 9, 9, 9, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], "task_id": "810b9b61", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
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General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 5 5 5 0 5 5 5 0 5 5 5 5 6 5 0 5 5 5 0 5 5 6 5 5 5 0 5 5 5 0 6 5 5 0 0 0 0 0 0 0 0 0 0 0 5 5 5 0 5 5 5 0 5 5 5 5 5 5 0 5 5 5 0 5 6 5 5 5 5 0 5 5 6 0 5 5 5 0 0 0 0 0 0 0 0 0 0 0 5 5 5 0 5 5 6 0 5 5 5 6 5 5 0 5 5 5 0 5 6 5 5 5 5 0 5 5 5 0 5 5 5 Output: 5 5 5 0 5 5 5 0 6 6 6 5 5 5 0 5 5 5 0 6 6 6 5 5 5 0 5 5 5 0 6 6 6 0 0 0 0 0 0 0 0 0 0 0 5 5 5 0 5 5 5 0 5 5 5 5 5 5 0 5 5 5 0 5 5 5 5 5 5 0 5 5 5 0 5 5 5 0 0 0 0 0 0 0 0 0 0 0 5 5 5 0 5 5 5 0 5 5 5 5 5 5 0 5 5 5 0 5 5 5 5 5 5 0 5 5 5 0 5 5 5 Example 2: Input: 5 5 5 0 5 5 5 0 5 5 5 1 5 5 0 5 5 1 0 5 5 1 5 5 5 0 5 5 5 0 5 5 5 0 0 0 0 0 0 0 0 0 0 0 5 5 5 0 5 5 5 0 5 1 5 1 5 5 0 5 5 1 0 5 5 5 1 5 5 0 5 5 5 0 5 5 5 0 0 0 0 0 0 0 0 0 0 0 5 5 5 0 5 5 5 0 5 5 5 1 5 5 0 5 5 5 0 5 5 1 5 5 5 0 5 1 5 0 1 5 5 Output: 5 5 5 0 5 5 5 0 5 5 5 5 5 5 0 5 5 5 0 5 5 5 5 5 5 0 5 5 5 0 5 5 5 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 5 5 5 0 5 5 5 1 1 1 0 5 5 5 0 5 5 5 1 1 1 0 5 5 5 0 5 5 5 0 0 0 0 0 0 0 0 0 0 0 5 5 5 0 5 5 5 0 1 1 1 5 5 5 0 5 5 5 0 1 1 1 5 5 5 0 5 5 5 0 1 1 1 Example 3: Input: 5 5 5 0 5 5 5 0 5 5 7 5 7 5 0 7 5 5 0 7 7 5 5 5 5 0 5 5 5 0 5 5 5 0 0 0 0 0 0 0 0 0 0 0 5 5 5 0 7 5 5 0 5 5 5 5 7 5 0 5 7 5 0 5 5 5 5 5 5 0 5 5 5 0 5 5 5 0 0 0 0 0 0 0 0 0 0 0 5 5 5 0 5 5 5 0 5 5 5 5 5 5 0 5 5 5 0 5 7 5 7 7 5 0 5 5 5 0 5 5 5 Output: 5 5 5 0 5 5 5 0 7 7 7 5 5 5 0 5 5 5 0 7 7 7 5 5 5 0 5 5 5 0 7 7 7 0 0 0 0 0 0 0 0 0 0 0 5 5 5 0 5 5 5 0 5 5 5 5 5 5 0 5 5 5 0 5 5 5 5 5 5 0 5 5 5 0 5 5 5 0 0 0 0 0 0 0 0 0 0 0 5 5 5 0 5 5 5 0 5 5 5 5 5 5 0 5 5 5 0 5 5 5 5 5 5 0 5 5 5 0 5 5 5 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 5 5 5 0 8 8 5 0 5 5 5 8 5 5 0 5 5 8 0 5 8 5 5 5 5 0 5 8 5 0 5 5 8 0 0 0 0 0 0 0 0 0 0 0 5 5 5 0 5 5 5 0 5 5 5 8 5 5 0 5 8 5 0 8 5 8 5 5 5 0 5 5 5 0 5 8 5 0 0 0 0 0 0 0 0 0 0 0 8 5 5 0 5 5 5 0 5 8 5 5 8 5 0 5 5 8 0 8 8 5 8 8 5 0 5 5 5 0 5 5 5
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "5 5 5 0 8 8 8 0 5 5 5\n5 5 5 0 8 8 8 0 5 5 5\n5 5 5 0 8 8 8 0 5 5 5\n0 0 0 0 0 0 0 0 0 0 0\n5 5 5 0 5 5 5 0 5 5 5\n5 5 5 0 5 5 5 0 5 5 5\n5 5 5 0 5 5 5 0 5 5 5\n0 0 0 0 0 0 0 0 0 0 0\n8 8 8 0 5 5 5 0 5 5 5\n8 8 8 0 5 5 5 0 5 5 5\n8 8 8 0 5 5 5 0 5 5 5", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n5 5 5 0 5 5 5 0 5 5 5\n5 6 5 0 5 5 5 0 5 5 6\n5 5 5 0 5 5 5 0 6 5 5\n0 0 0 0 0 0 0 0 0 0 0\n5 5 5 0 5 5 5 0 5 5 5\n5 5 5 0 5 5 5 0 5 6 5\n5 5 5 0 5 5 6 0 5 5 5\n0 0 0 0 0 0 0 0 0 0 0\n5 5 5 0 5 5 6 0 5 5 5\n6 5 5 0 5 5 5 0 5 6 5\n5 5 5 0 5 5 5 0 5 5 5\nOutput:\n5 5 5 0 5 5 5 0 6 6 6\n5 5 5 0 5 5 5 0 6 6 6\n5 5 5 0 5 5 5 0 6 6 6\n0 0 0 0 0 0 0 0 0 0 0\n5 5 5 0 5 5 5 0 5 5 5\n5 5 5 0 5 5 5 0 5 5 5\n5 5 5 0 5 5 5 0 5 5 5\n0 0 0 0 0 0 0 0 0 0 0\n5 5 5 0 5 5 5 0 5 5 5\n5 5 5 0 5 5 5 0 5 5 5\n5 5 5 0 5 5 5 0 5 5 5\n\nExample 2:\n\nInput:\n5 5 5 0 5 5 5 0 5 5 5\n1 5 5 0 5 5 1 0 5 5 1\n5 5 5 0 5 5 5 0 5 5 5\n0 0 0 0 0 0 0 0 0 0 0\n5 5 5 0 5 5 5 0 5 1 5\n1 5 5 0 5 5 1 0 5 5 5\n1 5 5 0 5 5 5 0 5 5 5\n0 0 0 0 0 0 0 0 0 0 0\n5 5 5 0 5 5 5 0 5 5 5\n1 5 5 0 5 5 5 0 5 5 1\n5 5 5 0 5 1 5 0 1 5 5\nOutput:\n5 5 5 0 5 5 5 0 5 5 5\n5 5 5 0 5 5 5 0 5 5 5\n5 5 5 0 5 5 5 0 5 5 5\n0 0 0 0 0 0 0 0 0 0 0\n1 1 1 0 5 5 5 0 5 5 5\n1 1 1 0 5 5 5 0 5 5 5\n1 1 1 0 5 5 5 0 5 5 5\n0 0 0 0 0 0 0 0 0 0 0\n5 5 5 0 5 5 5 0 1 1 1\n5 5 5 0 5 5 5 0 1 1 1\n5 5 5 0 5 5 5 0 1 1 1\n\nExample 3:\n\nInput:\n5 5 5 0 5 5 5 0 5 5 7\n5 7 5 0 7 5 5 0 7 7 5\n5 5 5 0 5 5 5 0 5 5 5\n0 0 0 0 0 0 0 0 0 0 0\n5 5 5 0 7 5 5 0 5 5 5\n5 7 5 0 5 7 5 0 5 5 5\n5 5 5 0 5 5 5 0 5 5 5\n0 0 0 0 0 0 0 0 0 0 0\n5 5 5 0 5 5 5 0 5 5 5\n5 5 5 0 5 5 5 0 5 7 5\n7 7 5 0 5 5 5 0 5 5 5\nOutput:\n5 5 5 0 5 5 5 0 7 7 7\n5 5 5 0 5 5 5 0 7 7 7\n5 5 5 0 5 5 5 0 7 7 7\n0 0 0 0 0 0 0 0 0 0 0\n5 5 5 0 5 5 5 0 5 5 5\n5 5 5 0 5 5 5 0 5 5 5\n5 5 5 0 5 5 5 0 5 5 5\n0 0 0 0 0 0 0 0 0 0 0\n5 5 5 0 5 5 5 0 5 5 5\n5 5 5 0 5 5 5 0 5 5 5\n5 5 5 0 5 5 5 0 5 5 5\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n5 5 5 0 8 8 5 0 5 5 5\n8 5 5 0 5 5 8 0 5 8 5\n5 5 5 0 5 8 5 0 5 5 8\n0 0 0 0 0 0 0 0 0 0 0\n5 5 5 0 5 5 5 0 5 5 5\n8 5 5 0 5 8 5 0 8 5 8\n5 5 5 0 5 5 5 0 5 8 5\n0 0 0 0 0 0 0 0 0 0 0\n8 5 5 0 5 5 5 0 5 8 5\n5 8 5 0 5 5 8 0 8 8 5\n8 8 5 0 5 5 5 0 5 5 5\n", "answer": "5 5 5 0 8 8 8 0 5 5 5\n5 5 5 0 8 8 8 0 5 5 5\n5 5 5 0 8 8 8 0 5 5 5\n0 0 0 0 0 0 0 0 0 0 0\n5 5 5 0 5 5 5 0 5 5 5\n5 5 5 0 5 5 5 0 5 5 5\n5 5 5 0 5 5 5 0 5 5 5\n0 0 0 0 0 0 0 0 0 0 0\n8 8 8 0 5 5 5 0 5 5 5\n8 8 8 0 5 5 5 0 5 5 5\n8 8 8 0 5 5 5 0 5 5 5", "metadata": {"source_dataset": "arc_agi", "source_index": 238, "input": [[5, 5, 5, 0, 8, 8, 5, 0, 5, 5, 5], [8, 5, 5, 0, 5, 5, 8, 0, 5, 8, 5], [5, 5, 5, 0, 5, 8, 5, 0, 5, 5, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5], [8, 5, 5, 0, 5, 8, 5, 0, 8, 5, 8], [5, 5, 5, 0, 5, 5, 5, 0, 5, 8, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [8, 5, 5, 0, 5, 5, 5, 0, 5, 8, 5], [5, 8, 5, 0, 5, 5, 8, 0, 8, 8, 5], [8, 8, 5, 0, 5, 5, 5, 0, 5, 5, 5]], "output": [[5, 5, 5, 0, 8, 8, 8, 0, 5, 5, 5], [5, 5, 5, 0, 8, 8, 8, 0, 5, 5, 5], [5, 5, 5, 0, 8, 8, 8, 0, 5, 5, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5], [5, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5], [5, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [8, 8, 8, 0, 5, 5, 5, 0, 5, 5, 5], [8, 8, 8, 0, 5, 5, 5, 0, 5, 5, 5], [8, 8, 8, 0, 5, 5, 5, 0, 5, 5, 5]], "task_id": "29623171", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 238, "input": [[5, 5, 5, 0, 8, 8, 5, 0, 5, 5, 5], [8, 5, 5, 0, 5, 5, 8, 0, 5, 8, 5], [5, 5, 5, 0, 5, 8, 5, 0, 5, 5, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5], [8, 5, 5, 0, 5, 8, 5, 0, 8, 5, 8], [5, 5, 5, 0, 5, 5, 5, 0, 5, 8, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [8, 5, 5, 0, 5, 5, 5, 0, 5, 8, 5], [5, 8, 5, 0, 5, 5, 8, 0, 8, 8, 5], [8, 8, 5, 0, 5, 5, 5, 0, 5, 5, 5]], "output": [[5, 5, 5, 0, 8, 8, 8, 0, 5, 5, 5], [5, 5, 5, 0, 8, 8, 8, 0, 5, 5, 5], [5, 5, 5, 0, 8, 8, 8, 0, 5, 5, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5], [5, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5], [5, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [8, 8, 8, 0, 5, 5, 5, 0, 5, 5, 5], [8, 8, 8, 0, 5, 5, 5, 0, 5, 5, 5], [8, 8, 8, 0, 5, 5, 5, 0, 5, 5, 5]], "task_id": "29623171", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null
General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 7 4 7 7 7 7 7 7 7 7 7 5 5 5 5 5 5 5 4 4 7 7 7 7 7 7 7 7 7 7 5 5 5 5 5 5 5 4 4 4 7 7 7 7 7 7 7 7 7 5 5 5 5 5 5 5 7 7 7 7 7 7 7 7 7 7 7 7 5 5 5 5 5 5 5 7 7 7 7 7 7 7 7 7 7 7 7 5 5 5 5 5 5 5 7 7 7 7 7 7 7 7 7 7 7 7 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 Output: 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 7 4 4 7 4 4 7 4 4 7 4 5 5 5 5 5 5 5 4 4 7 4 4 7 4 4 7 4 4 7 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 7 4 4 7 4 4 7 4 4 7 4 5 5 5 5 5 5 5 4 4 7 4 4 7 4 4 7 4 4 7 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 Example 2: Input: 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 8 8 7 7 7 7 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 8 7 7 7 7 7 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 7 7 7 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 7 7 7 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 7 7 7 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 7 7 7 5 5 5 5 5 7 7 7 7 7 7 5 5 5 5 5 5 7 7 7 7 7 7 5 5 5 5 5 7 7 7 7 7 7 5 5 5 5 5 5 7 7 7 7 7 7 5 5 5 5 5 7 7 7 7 7 7 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 7 7 7 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 7 7 7 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 7 7 7 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 7 0 0 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 0 7 0 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 7 0 0 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 Output: 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 8 8 8 8 8 8 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 8 7 8 7 8 7 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 8 8 8 8 8 8 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 8 7 8 7 8 7 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 8 8 8 8 8 8 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 8 7 8 7 8 7 5 5 5 5 5 7 0 0 7 0 0 5 5 5 5 5 5 8 8 8 8 8 8 5 5 5 5 5 0 7 0 0 7 0 5 5 5 5 5 5 8 7 8 7 8 7 5 5 5 5 5 7 0 0 7 0 0 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 0 0 7 0 0 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 0 7 0 0 7 0 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 0 0 7 0 0 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 0 0 7 0 0 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 0 7 0 0 7 0 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 0 0 7 0 0 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 Example 3: Input: 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 1 7 1 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 1 1 7 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 1 7 1 5 5 5 5 5 5 5 7 7 7 7 7 7 7 7 7 5 5 7 7 7 7 7 7 5 5 5 5 5 5 5 7 7 7 7 7 7 7 7 7 5 5 7 7 7 7 7 7 5 5 5 5 5 5 5 7 7 7 7 7 7 7 7 7 5 5 7 7 7 7 7 7 5 5 5 5 5 5 5 7 7 7 7 7 7 7 7 7 5 5 7 7 7 7 7 7 5 5 5 5 5 5 5 7 7 7 7 7 7 7 7 7 5 5 7 7 7 7 7 7 5 5 5 5 5 5 5 7 4 7 7 7 7 7 7 7 5 5 7 7 7 7 7 7 5 5 5 5 5 5 5 4 4 4 7 7 7 7 7 7 5 5 7 7 7 7 7 7 5 5 5 5 5 5 5 7 7 4 7 7 7 7 7 7 5 5 7 7 7 7 7 7 5 5 5 5 5 5 5 4 4 4 7 7 7 7 7 7 5 5 7 7 7 7 7 7 5 5 5 5 5 5 5 7 4 7 7 7 7 7 7 7 5 5 7 7 7 7 7 7 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 7 7 7 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 7 7 7 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 Output: 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 1 7 1 1 7 1 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 1 1 7 1 1 7 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 1 7 1 1 7 1 5 5 5 5 5 5 5 7 4 7 7 4 7 7 4 7 5 5 1 7 1 1 7 1 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 1 1 7 1 1 7 5 5 5 5 5 5 5 7 7 4 7 7 4 7 7 4 5 5 1 7 1 1 7 1 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 1 7 1 1 7 1 5 5 5 5 5 5 5 7 4 7 7 4 7 7 4 7 5 5 1 1 7 1 1 7 5 5 5 5 5 5 5 7 4 7 7 4 7 7 4 7 5 5 1 7 1 1 7 1 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 1 7 1 1 7 1 5 5 5 5 5 5 5 7 7 4 7 7 4 7 7 4 5 5 1 1 7 1 1 7 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 1 7 1 1 7 1 5 5 5 5 5 5 5 7 4 7 7 4 7 7 4 7 5 5 1 7 1 1 7 1 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 1 1 7 1 1 7 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 1 7 1 1 7 1 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 7 7 7 7 7 7 5 5 5 5 5 7 7 7 7 7 7 5 5 5 5 5 5 7 7 7 7 7 7 7 7 7 5 5 5 5 5 7 7 7 7 7 7 5 5 5 5 5 5 7 7 7 7 7 7 7 7 7 5 5 5 5 5 7 7 7 7 7 7 5 5 5 5 5 5 7 8 8 7 7 7 7 7 7 5 5 5 5 5 7 7 7 7 7 7 5 5 5 5 5 5 8 7 8 7 7 7 7 7 7 5 5 5 5 5 7 7 7 0 7 0 5 5 5 5 5 5 7 8 7 7 7 7 7 7 7 5 5 5 5 5 7 7 7 7 0 0 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 0 7 7 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 0 0 0 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 7 7 7 1 1 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 7 7 7 7 1 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 7 7 7 7 7 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 7 7 7 7 7 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 7 7 7 7 7 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 7 7 7 7 7 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 7 8 8 7 8 8 7 8 8 5 5 5 5 5 0 7 0 0 7 0 5 5 5 5\n5 5 8 7 8 8 7 8 8 7 8 5 5 5 5 5 7 0 0 7 0 0 5 5 5 5\n5 5 7 8 7 7 8 7 7 8 7 5 5 5 5 5 0 7 7 0 7 7 5 5 5 5\n5 5 7 8 8 7 8 8 7 8 8 5 5 5 5 5 0 0 0 0 0 0 5 5 5 5\n5 5 8 7 8 8 7 8 8 7 8 5 5 5 5 5 0 7 0 0 7 0 5 5 5 5\n5 5 7 8 7 7 8 7 7 8 7 5 5 5 5 5 7 0 0 7 0 0 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 0 7 7 0 7 7 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 0 0 0 0 0 0 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 1 1 1 1 1 1 1 1 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 7 1 7 1 7 1 7 1 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 1 1 1 1 1 1 1 1 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 7 1 7 1 7 1 7 1 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 1 1 1 1 1 1 1 1 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 7 1 7 1 7 1 7 1 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 4 7 4 7 7 7 7 7 7 7 7 7 5 5 5 5\n5 5 5 4 4 7 7 7 7 7 7 7 7 7 7 5 5 5 5\n5 5 5 4 4 4 7 7 7 7 7 7 7 7 7 5 5 5 5\n5 5 5 7 7 7 7 7 7 7 7 7 7 7 7 5 5 5 5\n5 5 5 7 7 7 7 7 7 7 7 7 7 7 7 5 5 5 5\n5 5 5 7 7 7 7 7 7 7 7 7 7 7 7 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\nOutput:\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 4 7 4 4 7 4 4 7 4 4 7 4 5 5 5 5\n5 5 5 4 4 7 4 4 7 4 4 7 4 4 7 5 5 5 5\n5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5\n5 5 5 4 7 4 4 7 4 4 7 4 4 7 4 5 5 5 5\n5 5 5 4 4 7 4 4 7 4 4 7 4 4 7 5 5 5 5\n5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n\nExample 2:\n\nInput:\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 8 8 7 7 7 7 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 8 7 7 7 7 7 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 7 7 7 7 7 7 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 7 7 7 7 7 7 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 7 7 7 7 7 7 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 7 7 7 7 7 7 5 5 5 5 5 7 7 7 7 7 7 5 5 5 5\n5 5 7 7 7 7 7 7 5 5 5 5 5 7 7 7 7 7 7 5 5 5 5\n5 5 7 7 7 7 7 7 5 5 5 5 5 7 7 7 7 7 7 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 7 7 7 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 7 7 7 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 7 7 7 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 7 0 0 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 0 7 0 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 7 0 0 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\nOutput:\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 8 8 8 8 8 8 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 8 7 8 7 8 7 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 8 8 8 8 8 8 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 8 7 8 7 8 7 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 8 8 8 8 8 8 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 8 7 8 7 8 7 5 5 5 5 5 7 0 0 7 0 0 5 5 5 5\n5 5 8 8 8 8 8 8 5 5 5 5 5 0 7 0 0 7 0 5 5 5 5\n5 5 8 7 8 7 8 7 5 5 5 5 5 7 0 0 7 0 0 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 7 0 0 7 0 0 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 0 7 0 0 7 0 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 7 0 0 7 0 0 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 7 0 0 7 0 0 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 0 7 0 0 7 0 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 7 0 0 7 0 0 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n\nExample 3:\n\nInput:\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 1 7 1 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 1 1 7 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 1 7 1 5 5 5 5\n5 5 5 7 7 7 7 7 7 7 7 7 5 5 7 7 7 7 7 7 5 5 5 5\n5 5 5 7 7 7 7 7 7 7 7 7 5 5 7 7 7 7 7 7 5 5 5 5\n5 5 5 7 7 7 7 7 7 7 7 7 5 5 7 7 7 7 7 7 5 5 5 5\n5 5 5 7 7 7 7 7 7 7 7 7 5 5 7 7 7 7 7 7 5 5 5 5\n5 5 5 7 7 7 7 7 7 7 7 7 5 5 7 7 7 7 7 7 5 5 5 5\n5 5 5 7 4 7 7 7 7 7 7 7 5 5 7 7 7 7 7 7 5 5 5 5\n5 5 5 4 4 4 7 7 7 7 7 7 5 5 7 7 7 7 7 7 5 5 5 5\n5 5 5 7 7 4 7 7 7 7 7 7 5 5 7 7 7 7 7 7 5 5 5 5\n5 5 5 4 4 4 7 7 7 7 7 7 5 5 7 7 7 7 7 7 5 5 5 5\n5 5 5 7 4 7 7 7 7 7 7 7 5 5 7 7 7 7 7 7 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 7 7 7 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 7 7 7 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\nOutput:\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 1 7 1 1 7 1 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 1 1 7 1 1 7 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 1 7 1 1 7 1 5 5 5 5\n5 5 5 7 4 7 7 4 7 7 4 7 5 5 1 7 1 1 7 1 5 5 5 5\n5 5 5 4 4 4 4 4 4 4 4 4 5 5 1 1 7 1 1 7 5 5 5 5\n5 5 5 7 7 4 7 7 4 7 7 4 5 5 1 7 1 1 7 1 5 5 5 5\n5 5 5 4 4 4 4 4 4 4 4 4 5 5 1 7 1 1 7 1 5 5 5 5\n5 5 5 7 4 7 7 4 7 7 4 7 5 5 1 1 7 1 1 7 5 5 5 5\n5 5 5 7 4 7 7 4 7 7 4 7 5 5 1 7 1 1 7 1 5 5 5 5\n5 5 5 4 4 4 4 4 4 4 4 4 5 5 1 7 1 1 7 1 5 5 5 5\n5 5 5 7 7 4 7 7 4 7 7 4 5 5 1 1 7 1 1 7 5 5 5 5\n5 5 5 4 4 4 4 4 4 4 4 4 5 5 1 7 1 1 7 1 5 5 5 5\n5 5 5 7 4 7 7 4 7 7 4 7 5 5 1 7 1 1 7 1 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 1 1 7 1 1 7 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 1 7 1 1 7 1 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 7 7 7 7 7 7 7 7 7 5 5 5 5 5 7 7 7 7 7 7 5 5 5 5\n5 5 7 7 7 7 7 7 7 7 7 5 5 5 5 5 7 7 7 7 7 7 5 5 5 5\n5 5 7 7 7 7 7 7 7 7 7 5 5 5 5 5 7 7 7 7 7 7 5 5 5 5\n5 5 7 8 8 7 7 7 7 7 7 5 5 5 5 5 7 7 7 7 7 7 5 5 5 5\n5 5 8 7 8 7 7 7 7 7 7 5 5 5 5 5 7 7 7 0 7 0 5 5 5 5\n5 5 7 8 7 7 7 7 7 7 7 5 5 5 5 5 7 7 7 7 0 0 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 0 7 7 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 0 0 0 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 7 7 7 7 7 7 1 1 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 7 7 7 7 7 7 7 1 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 7 7 7 7 7 7 7 7 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 7 7 7 7 7 7 7 7 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 7 7 7 7 7 7 7 7 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 7 7 7 7 7 7 7 7 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n", "answer": "5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 7 8 8 7 8 8 7 8 8 5 5 5 5 5 0 7 0 0 7 0 5 5 5 5\n5 5 8 7 8 8 7 8 8 7 8 5 5 5 5 5 7 0 0 7 0 0 5 5 5 5\n5 5 7 8 7 7 8 7 7 8 7 5 5 5 5 5 0 7 7 0 7 7 5 5 5 5\n5 5 7 8 8 7 8 8 7 8 8 5 5 5 5 5 0 0 0 0 0 0 5 5 5 5\n5 5 8 7 8 8 7 8 8 7 8 5 5 5 5 5 0 7 0 0 7 0 5 5 5 5\n5 5 7 8 7 7 8 7 7 8 7 5 5 5 5 5 7 0 0 7 0 0 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 0 7 7 0 7 7 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 0 0 0 0 0 0 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 1 1 1 1 1 1 1 1 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 7 1 7 1 7 1 7 1 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 1 1 1 1 1 1 1 1 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 7 1 7 1 7 1 7 1 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 1 1 1 1 1 1 1 1 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 7 1 7 1 7 1 7 1 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5", "metadata": {"source_dataset": "arc_agi", "source_index": 239, "input": [[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5], [5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5], [5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5], [5, 5, 7, 8, 8, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5], [5, 5, 8, 7, 8, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 7, 7, 7, 0, 7, 0, 5, 5, 5, 5], [5, 5, 7, 8, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 7, 7, 7, 7, 0, 0, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 0, 7, 7, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 0, 0, 0, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]], "output": [[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 7, 8, 8, 7, 8, 8, 7, 8, 8, 5, 5, 5, 5, 5, 0, 7, 0, 0, 7, 0, 5, 5, 5, 5], [5, 5, 8, 7, 8, 8, 7, 8, 8, 7, 8, 5, 5, 5, 5, 5, 7, 0, 0, 7, 0, 0, 5, 5, 5, 5], [5, 5, 7, 8, 7, 7, 8, 7, 7, 8, 7, 5, 5, 5, 5, 5, 0, 7, 7, 0, 7, 7, 5, 5, 5, 5], [5, 5, 7, 8, 8, 7, 8, 8, 7, 8, 8, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5], [5, 5, 8, 7, 8, 8, 7, 8, 8, 7, 8, 5, 5, 5, 5, 5, 0, 7, 0, 0, 7, 0, 5, 5, 5, 5], [5, 5, 7, 8, 7, 7, 8, 7, 7, 8, 7, 5, 5, 5, 5, 5, 7, 0, 0, 7, 0, 0, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 7, 7, 0, 7, 7, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 7, 1, 7, 1, 7, 1, 7, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 7, 1, 7, 1, 7, 1, 7, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 7, 1, 7, 1, 7, 1, 7, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]], "task_id": "a57f2f04", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 239, "input": [[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5], [5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5], [5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5], [5, 5, 7, 8, 8, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5], [5, 5, 8, 7, 8, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 7, 7, 7, 0, 7, 0, 5, 5, 5, 5], [5, 5, 7, 8, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 7, 7, 7, 7, 0, 0, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 0, 7, 7, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 0, 0, 0, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]], "output": [[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 7, 8, 8, 7, 8, 8, 7, 8, 8, 5, 5, 5, 5, 5, 0, 7, 0, 0, 7, 0, 5, 5, 5, 5], [5, 5, 8, 7, 8, 8, 7, 8, 8, 7, 8, 5, 5, 5, 5, 5, 7, 0, 0, 7, 0, 0, 5, 5, 5, 5], [5, 5, 7, 8, 7, 7, 8, 7, 7, 8, 7, 5, 5, 5, 5, 5, 0, 7, 7, 0, 7, 7, 5, 5, 5, 5], [5, 5, 7, 8, 8, 7, 8, 8, 7, 8, 8, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5], [5, 5, 8, 7, 8, 8, 7, 8, 8, 7, 8, 5, 5, 5, 5, 5, 0, 7, 0, 0, 7, 0, 5, 5, 5, 5], [5, 5, 7, 8, 7, 7, 8, 7, 7, 8, 7, 5, 5, 5, 5, 5, 7, 0, 0, 7, 0, 0, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 7, 7, 0, 7, 7, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 7, 1, 7, 1, 7, 1, 7, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 7, 1, 7, 1, 7, 1, 7, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 7, 1, 7, 1, 7, 1, 7, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]], "task_id": "a57f2f04", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null
General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 3 3 3 3 3 3 1 3 3 3 3 3 3 3 3 3 3 3 2 3 6 3 3 3 3 3 3 3 3 3 2 3 2 3 6 3 Output: 1 3 3 2 6 3 2 2 6 Example 2: Input: 3 3 3 3 3 3 8 3 3 3 8 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 6 3 3 3 3 3 Output: 8 3 8 3 2 3 6 3 3 Example 3: Input: 3 3 3 3 3 3 3 3 6 3 3 3 3 3 3 3 3 3 5 3 3 3 5 3 3 3 3 3 3 3 1 3 3 3 2 3 Output: 3 6 3 5 3 5 1 3 2 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 3 3 3 3 3 3 7 3 3 3 6 3 3 3 3 3 3 3 7 3 3 3 6 3 3 3 3 3 3 3 1 3 1 3 0 3
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "7 3 6\n7 3 6\n1 1 0", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n3 3 3 3 3 3\n1 3 3 3 3 3\n3 3 3 3 3 3\n2 3 6 3 3 3\n3 3 3 3 3 3\n2 3 2 3 6 3\nOutput:\n1 3 3\n2 6 3\n2 2 6\n\nExample 2:\n\nInput:\n3 3 3 3 3 3\n8 3 3 3 8 3\n3 3 3 3 3 3\n3 3 2 3 3 3\n3 3 3 3 3 3\n6 3 3 3 3 3\nOutput:\n8 3 8\n3 2 3\n6 3 3\n\nExample 3:\n\nInput:\n3 3 3 3 3 3\n3 3 6 3 3 3\n3 3 3 3 3 3\n5 3 3 3 5 3\n3 3 3 3 3 3\n1 3 3 3 2 3\nOutput:\n3 6 3\n5 3 5\n1 3 2\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n3 3 3 3 3 3\n7 3 3 3 6 3\n3 3 3 3 3 3\n7 3 3 3 6 3\n3 3 3 3 3 3\n1 3 1 3 0 3\n", "answer": "7 3 6\n7 3 6\n1 1 0", "metadata": {"source_dataset": "arc_agi", "source_index": 240, "input": [[3, 3, 3, 3, 3, 3], [7, 3, 3, 3, 6, 3], [3, 3, 3, 3, 3, 3], [7, 3, 3, 3, 6, 3], [3, 3, 3, 3, 3, 3], [1, 3, 1, 3, 0, 3]], "output": [[7, 3, 6], [7, 3, 6], [1, 1, 0]], "task_id": "68b67ca3", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 240, "input": [[3, 3, 3, 3, 3, 3], [7, 3, 3, 3, 6, 3], [3, 3, 3, 3, 3, 3], [7, 3, 3, 3, 6, 3], [3, 3, 3, 3, 3, 3], [1, 3, 1, 3, 0, 3]], "output": [[7, 3, 6], [7, 3, 6], [1, 1, 0]], "task_id": "68b67ca3", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null
General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 3 3 7 7 7 3 3 3 3 3 3 3 3 3 5 5 7 5 7 5 5 5 5 5 5 5 5 5 3 3 7 7 7 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 7 7 3 3 3 5 5 5 5 5 5 5 5 7 5 7 5 5 5 3 3 3 3 3 3 3 3 7 7 7 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 Output: 3 3 7 7 7 3 3 3 4 4 4 3 3 3 5 5 7 5 7 5 5 5 4 5 4 5 5 5 3 3 7 7 7 3 3 3 4 4 4 3 3 3 3 3 3 4 3 3 3 3 3 4 3 3 3 3 3 3 3 4 3 3 3 3 3 4 3 3 3 3 3 3 3 4 3 3 3 3 3 4 3 3 3 3 3 3 4 4 4 3 3 3 4 4 4 3 3 3 5 5 4 5 4 5 5 5 4 5 4 5 5 5 3 3 4 4 4 3 3 3 4 4 4 3 3 3 3 3 3 4 3 3 3 3 3 4 3 3 3 3 3 3 3 4 3 3 3 3 3 4 3 3 3 3 3 3 4 4 4 3 3 3 7 7 7 3 3 3 5 5 4 5 4 5 5 5 7 5 7 5 5 5 3 3 4 4 4 3 3 3 7 7 7 3 3 3 3 3 3 4 3 3 3 3 3 4 3 3 3 3 3 3 3 4 3 3 3 3 3 4 3 3 3 3 Example 2: Input: 3 3 5 3 3 3 3 3 5 3 3 3 3 3 5 3 3 3 3 3 5 3 3 3 3 7 7 7 3 3 3 3 5 3 3 3 3 7 5 7 3 3 3 3 5 3 3 3 3 7 7 7 3 3 3 3 5 3 3 3 3 3 5 3 3 3 3 3 5 3 3 3 3 3 5 3 3 3 3 3 5 3 3 3 3 3 5 3 3 3 3 3 5 3 3 3 3 3 5 3 3 3 3 3 5 3 3 3 3 3 5 3 3 3 3 3 5 3 3 3 3 3 5 3 3 3 3 3 5 3 3 3 3 3 5 3 3 3 3 7 7 7 3 3 3 3 5 3 3 3 3 7 5 7 3 3 3 3 5 3 3 3 3 7 7 7 3 3 3 3 5 3 3 3 3 3 5 3 3 3 Output: 3 3 5 3 3 3 3 3 5 3 3 3 3 3 5 3 3 3 3 3 5 3 3 3 3 7 7 7 3 3 3 4 4 4 3 3 4 7 5 7 4 4 4 4 5 4 4 4 3 7 7 7 3 3 3 4 4 4 3 3 3 3 5 3 3 3 3 3 5 3 3 3 3 3 5 3 3 3 3 3 5 3 3 3 3 3 5 3 3 3 3 3 5 3 3 3 3 3 5 3 3 3 3 3 5 3 3 3 3 3 5 3 3 3 3 3 5 3 3 3 3 3 5 3 3 3 3 3 5 3 3 3 3 4 4 4 3 3 3 7 7 7 3 3 4 4 5 4 4 4 4 7 5 7 4 4 3 4 4 4 3 3 3 7 7 7 3 3 3 3 5 3 3 3 3 3 5 3 3 3 Example 3: Input: 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 7 7 3 3 3 3 5 5 5 7 5 7 5 5 5 5 3 3 3 7 7 7 3 3 3 3 Output: 3 3 3 3 4 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 5 5 5 4 5 4 5 5 5 5 3 3 3 4 4 4 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 7 7 7 3 3 3 3 5 5 5 7 5 7 5 5 5 5 3 3 3 7 7 7 3 3 3 3 Example 4: Input: 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 7 7 7 3 3 3 3 3 3 3 3 3 7 5 7 3 3 3 3 3 3 3 3 3 7 7 7 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 Output: 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 7 7 7 3 3 3 4 4 4 4 4 4 7 5 7 4 4 4 3 3 3 3 3 3 7 7 7 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 3 5 3 3 3 3 5 3 3 3 5 3 3 3 3 5 3 3 3 5 3 3 3 3 5 3 3 3 5 3 3 3 3 5 3 3 3 5 3 3 3 7 7 7 3 3 5 3 3 3 3 5 3 3 3 5 3 3 3 7 5 7 3 3 5 3 3 3 3 5 3 3 3 5 3 3 3 7 7 7 3 3 5 3 3 3 3 5 3 3 3 5 3 3 3 3 5 3 3 3 5 3 3 3 3 5 3 3 3 5 3 3 3 3 5 3 3 3 5 3 3 3 3 5 3 3 3 5 3 3 3 3 5 3 3 3 5 3 3 3 3 5 3 3 3 5 3 3 3 3 5 3 3 3 5 3 3 3 3 5 3 3 3 5 3 3 3 3 5 3 3 3 5 3 3 3 3 5 3 3 3 5 3 3 3 3 5 3 3 3 5 3 3 3 3 5 3 3 3 5 3 3 3 3 5 3 3 3 5 3 3 3 3 5 3 3 3 5 3 3 3 3 5 3 3 3 5 3 3 3 7 7 7 3 3 5 3 3 3 3 5 3 3 3 5 3 3 3 7 5 7 3 3 5 3 3 3 3 5 3 3 3 5 3 3 3 7 7 7 3 3 5 3 3 3 3 5 3 3 3 5 3 3 3 3 5 3 3
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "3 5 3 3 3 3 5 3 3 3 5 3 3 3 3 5 3 3\n3 5 3 3 3 3 5 3 3 3 5 3 3 3 3 5 3 3\n4 4 4 3 3 7 7 7 3 4 4 4 3 3 4 4 4 3\n4 5 4 4 4 7 5 7 4 4 5 4 4 4 4 5 4 4\n4 4 4 3 3 7 7 7 3 4 4 4 3 3 4 4 4 3\n3 5 3 3 3 3 5 3 3 3 5 3 3 3 3 5 3 3\n3 5 3 3 3 3 5 3 3 3 5 3 3 3 3 5 3 3\n3 5 3 3 3 3 5 3 3 3 5 3 3 3 3 5 3 3\n3 5 3 3 3 3 5 3 3 3 5 3 3 3 3 5 3 3\n3 5 3 3 3 3 5 3 3 3 5 3 3 3 3 5 3 3\n3 5 3 3 3 3 5 3 3 3 5 3 3 3 3 5 3 3\n3 5 3 3 3 3 5 3 3 3 5 3 3 3 3 5 3 3\n4 4 4 3 3 4 4 4 3 4 4 4 3 3 7 7 7 3\n4 5 4 4 4 4 5 4 4 4 5 4 4 4 7 5 7 4\n4 4 4 3 3 4 4 4 3 4 4 4 3 3 7 7 7 3\n3 5 3 3 3 3 5 3 3 3 5 3 3 3 3 5 3 3", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n3 3 7 7 7 3 3 3 3 3 3 3 3 3\n5 5 7 5 7 5 5 5 5 5 5 5 5 5\n3 3 7 7 7 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3\n5 5 5 5 5 5 5 5 5 5 5 5 5 5\n3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 7 7 7 3 3 3\n5 5 5 5 5 5 5 5 7 5 7 5 5 5\n3 3 3 3 3 3 3 3 7 7 7 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3\nOutput:\n3 3 7 7 7 3 3 3 4 4 4 3 3 3\n5 5 7 5 7 5 5 5 4 5 4 5 5 5\n3 3 7 7 7 3 3 3 4 4 4 3 3 3\n3 3 3 4 3 3 3 3 3 4 3 3 3 3\n3 3 3 4 3 3 3 3 3 4 3 3 3 3\n3 3 3 4 3 3 3 3 3 4 3 3 3 3\n3 3 4 4 4 3 3 3 4 4 4 3 3 3\n5 5 4 5 4 5 5 5 4 5 4 5 5 5\n3 3 4 4 4 3 3 3 4 4 4 3 3 3\n3 3 3 4 3 3 3 3 3 4 3 3 3 3\n3 3 3 4 3 3 3 3 3 4 3 3 3 3\n3 3 4 4 4 3 3 3 7 7 7 3 3 3\n5 5 4 5 4 5 5 5 7 5 7 5 5 5\n3 3 4 4 4 3 3 3 7 7 7 3 3 3\n3 3 3 4 3 3 3 3 3 4 3 3 3 3\n3 3 3 4 3 3 3 3 3 4 3 3 3 3\n\nExample 2:\n\nInput:\n3 3 5 3 3 3 3 3 5 3 3 3\n3 3 5 3 3 3 3 3 5 3 3 3\n3 7 7 7 3 3 3 3 5 3 3 3\n3 7 5 7 3 3 3 3 5 3 3 3\n3 7 7 7 3 3 3 3 5 3 3 3\n3 3 5 3 3 3 3 3 5 3 3 3\n3 3 5 3 3 3 3 3 5 3 3 3\n3 3 5 3 3 3 3 3 5 3 3 3\n3 3 5 3 3 3 3 3 5 3 3 3\n3 3 5 3 3 3 3 3 5 3 3 3\n3 3 5 3 3 3 3 3 5 3 3 3\n3 3 5 3 3 3 3 7 7 7 3 3\n3 3 5 3 3 3 3 7 5 7 3 3\n3 3 5 3 3 3 3 7 7 7 3 3\n3 3 5 3 3 3 3 3 5 3 3 3\nOutput:\n3 3 5 3 3 3 3 3 5 3 3 3\n3 3 5 3 3 3 3 3 5 3 3 3\n3 7 7 7 3 3 3 4 4 4 3 3\n4 7 5 7 4 4 4 4 5 4 4 4\n3 7 7 7 3 3 3 4 4 4 3 3\n3 3 5 3 3 3 3 3 5 3 3 3\n3 3 5 3 3 3 3 3 5 3 3 3\n3 3 5 3 3 3 3 3 5 3 3 3\n3 3 5 3 3 3 3 3 5 3 3 3\n3 3 5 3 3 3 3 3 5 3 3 3\n3 3 5 3 3 3 3 3 5 3 3 3\n3 4 4 4 3 3 3 7 7 7 3 3\n4 4 5 4 4 4 4 7 5 7 4 4\n3 4 4 4 3 3 3 7 7 7 3 3\n3 3 5 3 3 3 3 3 5 3 3 3\n\nExample 3:\n\nInput:\n3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3\n5 5 5 5 5 5 5 5 5 5\n3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3\n3 3 3 7 7 7 3 3 3 3\n5 5 5 7 5 7 5 5 5 5\n3 3 3 7 7 7 3 3 3 3\nOutput:\n3 3 3 3 4 3 3 3 3 3\n3 3 3 3 4 3 3 3 3 3\n3 3 3 4 4 4 3 3 3 3\n5 5 5 4 5 4 5 5 5 5\n3 3 3 4 4 4 3 3 3 3\n3 3 3 3 4 3 3 3 3 3\n3 3 3 3 4 3 3 3 3 3\n3 3 3 7 7 7 3 3 3 3\n5 5 5 7 5 7 5 5 5 5\n3 3 3 7 7 7 3 3 3 3\n\nExample 4:\n\nInput:\n3 3 3 3 3 3 3 5 3 3 3 3\n3 3 3 3 3 3 3 5 3 3 3 3\n3 3 3 3 3 3 3 5 3 3 3 3\n3 3 3 3 3 3 3 5 3 3 3 3\n3 3 3 3 3 3 7 7 7 3 3 3\n3 3 3 3 3 3 7 5 7 3 3 3\n3 3 3 3 3 3 7 7 7 3 3 3\n3 3 3 3 3 3 3 5 3 3 3 3\n3 3 3 3 3 3 3 5 3 3 3 3\n3 3 3 3 3 3 3 5 3 3 3 3\n3 3 3 3 3 3 3 5 3 3 3 3\n3 3 3 3 3 3 3 5 3 3 3 3\nOutput:\n3 3 3 3 3 3 3 5 3 3 3 3\n3 3 3 3 3 3 3 5 3 3 3 3\n3 3 3 3 3 3 3 5 3 3 3 3\n3 3 3 3 3 3 3 5 3 3 3 3\n3 3 3 3 3 3 7 7 7 3 3 3\n4 4 4 4 4 4 7 5 7 4 4 4\n3 3 3 3 3 3 7 7 7 3 3 3\n3 3 3 3 3 3 3 5 3 3 3 3\n3 3 3 3 3 3 3 5 3 3 3 3\n3 3 3 3 3 3 3 5 3 3 3 3\n3 3 3 3 3 3 3 5 3 3 3 3\n3 3 3 3 3 3 3 5 3 3 3 3\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n3 5 3 3 3 3 5 3 3 3 5 3 3 3 3 5 3 3\n3 5 3 3 3 3 5 3 3 3 5 3 3 3 3 5 3 3\n3 5 3 3 3 7 7 7 3 3 5 3 3 3 3 5 3 3\n3 5 3 3 3 7 5 7 3 3 5 3 3 3 3 5 3 3\n3 5 3 3 3 7 7 7 3 3 5 3 3 3 3 5 3 3\n3 5 3 3 3 3 5 3 3 3 5 3 3 3 3 5 3 3\n3 5 3 3 3 3 5 3 3 3 5 3 3 3 3 5 3 3\n3 5 3 3 3 3 5 3 3 3 5 3 3 3 3 5 3 3\n3 5 3 3 3 3 5 3 3 3 5 3 3 3 3 5 3 3\n3 5 3 3 3 3 5 3 3 3 5 3 3 3 3 5 3 3\n3 5 3 3 3 3 5 3 3 3 5 3 3 3 3 5 3 3\n3 5 3 3 3 3 5 3 3 3 5 3 3 3 3 5 3 3\n3 5 3 3 3 3 5 3 3 3 5 3 3 3 7 7 7 3\n3 5 3 3 3 3 5 3 3 3 5 3 3 3 7 5 7 3\n3 5 3 3 3 3 5 3 3 3 5 3 3 3 7 7 7 3\n3 5 3 3 3 3 5 3 3 3 5 3 3 3 3 5 3 3\n", "answer": "3 5 3 3 3 3 5 3 3 3 5 3 3 3 3 5 3 3\n3 5 3 3 3 3 5 3 3 3 5 3 3 3 3 5 3 3\n4 4 4 3 3 7 7 7 3 4 4 4 3 3 4 4 4 3\n4 5 4 4 4 7 5 7 4 4 5 4 4 4 4 5 4 4\n4 4 4 3 3 7 7 7 3 4 4 4 3 3 4 4 4 3\n3 5 3 3 3 3 5 3 3 3 5 3 3 3 3 5 3 3\n3 5 3 3 3 3 5 3 3 3 5 3 3 3 3 5 3 3\n3 5 3 3 3 3 5 3 3 3 5 3 3 3 3 5 3 3\n3 5 3 3 3 3 5 3 3 3 5 3 3 3 3 5 3 3\n3 5 3 3 3 3 5 3 3 3 5 3 3 3 3 5 3 3\n3 5 3 3 3 3 5 3 3 3 5 3 3 3 3 5 3 3\n3 5 3 3 3 3 5 3 3 3 5 3 3 3 3 5 3 3\n4 4 4 3 3 4 4 4 3 4 4 4 3 3 7 7 7 3\n4 5 4 4 4 4 5 4 4 4 5 4 4 4 7 5 7 4\n4 4 4 3 3 4 4 4 3 4 4 4 3 3 7 7 7 3\n3 5 3 3 3 3 5 3 3 3 5 3 3 3 3 5 3 3", "metadata": {"source_dataset": "arc_agi", "source_index": 241, "input": [[3, 5, 3, 3, 3, 3, 5, 3, 3, 3, 5, 3, 3, 3, 3, 5, 3, 3], [3, 5, 3, 3, 3, 3, 5, 3, 3, 3, 5, 3, 3, 3, 3, 5, 3, 3], [3, 5, 3, 3, 3, 7, 7, 7, 3, 3, 5, 3, 3, 3, 3, 5, 3, 3], [3, 5, 3, 3, 3, 7, 5, 7, 3, 3, 5, 3, 3, 3, 3, 5, 3, 3], [3, 5, 3, 3, 3, 7, 7, 7, 3, 3, 5, 3, 3, 3, 3, 5, 3, 3], [3, 5, 3, 3, 3, 3, 5, 3, 3, 3, 5, 3, 3, 3, 3, 5, 3, 3], [3, 5, 3, 3, 3, 3, 5, 3, 3, 3, 5, 3, 3, 3, 3, 5, 3, 3], [3, 5, 3, 3, 3, 3, 5, 3, 3, 3, 5, 3, 3, 3, 3, 5, 3, 3], [3, 5, 3, 3, 3, 3, 5, 3, 3, 3, 5, 3, 3, 3, 3, 5, 3, 3], [3, 5, 3, 3, 3, 3, 5, 3, 3, 3, 5, 3, 3, 3, 3, 5, 3, 3], [3, 5, 3, 3, 3, 3, 5, 3, 3, 3, 5, 3, 3, 3, 3, 5, 3, 3], [3, 5, 3, 3, 3, 3, 5, 3, 3, 3, 5, 3, 3, 3, 3, 5, 3, 3], [3, 5, 3, 3, 3, 3, 5, 3, 3, 3, 5, 3, 3, 3, 7, 7, 7, 3], [3, 5, 3, 3, 3, 3, 5, 3, 3, 3, 5, 3, 3, 3, 7, 5, 7, 3], [3, 5, 3, 3, 3, 3, 5, 3, 3, 3, 5, 3, 3, 3, 7, 7, 7, 3], [3, 5, 3, 3, 3, 3, 5, 3, 3, 3, 5, 3, 3, 3, 3, 5, 3, 3]], "output": [[3, 5, 3, 3, 3, 3, 5, 3, 3, 3, 5, 3, 3, 3, 3, 5, 3, 3], [3, 5, 3, 3, 3, 3, 5, 3, 3, 3, 5, 3, 3, 3, 3, 5, 3, 3], [4, 4, 4, 3, 3, 7, 7, 7, 3, 4, 4, 4, 3, 3, 4, 4, 4, 3], [4, 5, 4, 4, 4, 7, 5, 7, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4], [4, 4, 4, 3, 3, 7, 7, 7, 3, 4, 4, 4, 3, 3, 4, 4, 4, 3], [3, 5, 3, 3, 3, 3, 5, 3, 3, 3, 5, 3, 3, 3, 3, 5, 3, 3], [3, 5, 3, 3, 3, 3, 5, 3, 3, 3, 5, 3, 3, 3, 3, 5, 3, 3], [3, 5, 3, 3, 3, 3, 5, 3, 3, 3, 5, 3, 3, 3, 3, 5, 3, 3], [3, 5, 3, 3, 3, 3, 5, 3, 3, 3, 5, 3, 3, 3, 3, 5, 3, 3], [3, 5, 3, 3, 3, 3, 5, 3, 3, 3, 5, 3, 3, 3, 3, 5, 3, 3], [3, 5, 3, 3, 3, 3, 5, 3, 3, 3, 5, 3, 3, 3, 3, 5, 3, 3], [3, 5, 3, 3, 3, 3, 5, 3, 3, 3, 5, 3, 3, 3, 3, 5, 3, 3], [4, 4, 4, 3, 3, 4, 4, 4, 3, 4, 4, 4, 3, 3, 7, 7, 7, 3], [4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 7, 5, 7, 4], [4, 4, 4, 3, 3, 4, 4, 4, 3, 4, 4, 4, 3, 3, 7, 7, 7, 3], [3, 5, 3, 3, 3, 3, 5, 3, 3, 3, 5, 3, 3, 3, 3, 5, 3, 3]], "task_id": "ac3e2b04", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 241, "input": [[3, 5, 3, 3, 3, 3, 5, 3, 3, 3, 5, 3, 3, 3, 3, 5, 3, 3], [3, 5, 3, 3, 3, 3, 5, 3, 3, 3, 5, 3, 3, 3, 3, 5, 3, 3], [3, 5, 3, 3, 3, 7, 7, 7, 3, 3, 5, 3, 3, 3, 3, 5, 3, 3], [3, 5, 3, 3, 3, 7, 5, 7, 3, 3, 5, 3, 3, 3, 3, 5, 3, 3], [3, 5, 3, 3, 3, 7, 7, 7, 3, 3, 5, 3, 3, 3, 3, 5, 3, 3], [3, 5, 3, 3, 3, 3, 5, 3, 3, 3, 5, 3, 3, 3, 3, 5, 3, 3], [3, 5, 3, 3, 3, 3, 5, 3, 3, 3, 5, 3, 3, 3, 3, 5, 3, 3], [3, 5, 3, 3, 3, 3, 5, 3, 3, 3, 5, 3, 3, 3, 3, 5, 3, 3], [3, 5, 3, 3, 3, 3, 5, 3, 3, 3, 5, 3, 3, 3, 3, 5, 3, 3], [3, 5, 3, 3, 3, 3, 5, 3, 3, 3, 5, 3, 3, 3, 3, 5, 3, 3], [3, 5, 3, 3, 3, 3, 5, 3, 3, 3, 5, 3, 3, 3, 3, 5, 3, 3], [3, 5, 3, 3, 3, 3, 5, 3, 3, 3, 5, 3, 3, 3, 3, 5, 3, 3], [3, 5, 3, 3, 3, 3, 5, 3, 3, 3, 5, 3, 3, 3, 7, 7, 7, 3], [3, 5, 3, 3, 3, 3, 5, 3, 3, 3, 5, 3, 3, 3, 7, 5, 7, 3], [3, 5, 3, 3, 3, 3, 5, 3, 3, 3, 5, 3, 3, 3, 7, 7, 7, 3], [3, 5, 3, 3, 3, 3, 5, 3, 3, 3, 5, 3, 3, 3, 3, 5, 3, 3]], "output": [[3, 5, 3, 3, 3, 3, 5, 3, 3, 3, 5, 3, 3, 3, 3, 5, 3, 3], [3, 5, 3, 3, 3, 3, 5, 3, 3, 3, 5, 3, 3, 3, 3, 5, 3, 3], [4, 4, 4, 3, 3, 7, 7, 7, 3, 4, 4, 4, 3, 3, 4, 4, 4, 3], [4, 5, 4, 4, 4, 7, 5, 7, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4], [4, 4, 4, 3, 3, 7, 7, 7, 3, 4, 4, 4, 3, 3, 4, 4, 4, 3], [3, 5, 3, 3, 3, 3, 5, 3, 3, 3, 5, 3, 3, 3, 3, 5, 3, 3], [3, 5, 3, 3, 3, 3, 5, 3, 3, 3, 5, 3, 3, 3, 3, 5, 3, 3], [3, 5, 3, 3, 3, 3, 5, 3, 3, 3, 5, 3, 3, 3, 3, 5, 3, 3], [3, 5, 3, 3, 3, 3, 5, 3, 3, 3, 5, 3, 3, 3, 3, 5, 3, 3], [3, 5, 3, 3, 3, 3, 5, 3, 3, 3, 5, 3, 3, 3, 3, 5, 3, 3], [3, 5, 3, 3, 3, 3, 5, 3, 3, 3, 5, 3, 3, 3, 3, 5, 3, 3], [3, 5, 3, 3, 3, 3, 5, 3, 3, 3, 5, 3, 3, 3, 3, 5, 3, 3], [4, 4, 4, 3, 3, 4, 4, 4, 3, 4, 4, 4, 3, 3, 7, 7, 7, 3], [4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 7, 5, 7, 4], [4, 4, 4, 3, 3, 4, 4, 4, 3, 4, 4, 4, 3, 3, 7, 7, 7, 3], [3, 5, 3, 3, 3, 3, 5, 3, 3, 3, 5, 3, 3, 3, 3, 5, 3, 3]], "task_id": "ac3e2b04", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
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General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 4 8 4 9 4 8 4 9 4 4 1 4 4 4 9 4 3 4 9 2 4 4 3 4 4 9 4 7 4 9 4 4 8 9 9 9 9 9 9 9 9 9 9 9 4 4 4 9 4 4 4 9 4 1 4 3 4 1 9 2 4 3 9 4 3 4 4 5 4 9 4 4 4 9 4 8 4 9 9 9 9 9 9 9 9 9 9 9 4 4 4 9 4 4 4 9 4 4 4 4 2 4 9 4 8 4 9 4 1 4 8 4 4 9 4 5 4 9 4 4 2 Output: 4 4 4 9 4 4 4 9 4 4 4 4 4 4 9 4 4 4 9 4 4 4 4 4 4 9 4 4 4 9 4 4 4 9 9 9 9 9 9 9 9 9 9 9 4 4 4 9 4 4 4 9 4 4 4 4 4 4 9 4 4 4 9 4 4 4 4 4 4 9 4 4 4 9 4 4 4 9 9 9 9 9 9 9 9 9 9 9 4 4 4 9 4 8 4 9 4 4 4 4 4 4 9 4 3 4 9 4 4 4 4 4 4 9 4 7 4 9 4 4 4 Example 2: Input: 4 3 4 9 4 1 4 9 4 1 3 6 4 4 9 8 4 4 9 7 4 6 4 1 4 9 4 6 4 9 4 4 4 9 9 9 9 9 9 9 9 9 9 9 4 4 1 9 4 4 4 9 8 4 4 4 4 4 9 6 4 4 9 4 6 1 4 6 3 9 4 8 4 9 4 4 3 9 9 9 9 9 9 9 9 9 9 9 4 4 4 9 4 8 4 9 4 4 4 6 8 1 9 4 4 4 9 4 6 4 4 3 4 9 4 1 4 9 3 4 4 Output: 4 4 4 9 4 4 4 9 4 4 4 4 4 4 9 4 4 4 9 4 4 4 4 4 4 9 4 4 4 9 4 4 4 9 9 9 9 9 9 9 9 9 9 9 4 1 3 9 4 4 4 9 4 4 4 7 4 6 9 4 4 4 9 4 4 4 4 4 4 9 4 4 4 9 4 4 4 9 9 9 9 9 9 9 9 9 9 9 4 4 4 9 4 4 4 9 4 4 4 4 4 4 9 4 4 4 9 4 4 4 4 4 4 9 4 4 4 9 4 4 4 Example 3: Input: 4 4 2 9 4 1 4 9 4 8 4 3 4 4 9 3 4 8 9 4 4 5 4 8 7 9 4 2 4 9 2 4 3 9 9 9 9 9 9 9 9 9 9 9 8 4 4 9 2 4 4 9 4 1 4 4 4 1 9 4 4 8 9 4 4 3 3 4 2 9 6 3 4 9 4 2 8 9 9 9 9 9 9 9 9 9 9 9 3 2 4 9 4 4 2 9 4 8 4 4 4 0 9 4 8 4 9 4 1 4 8 4 4 9 3 4 1 9 6 4 3 Output: 4 4 4 9 4 4 4 9 4 4 4 4 4 4 9 4 4 4 9 4 4 4 4 4 4 9 4 4 4 9 4 4 4 9 9 9 9 9 9 9 9 9 9 9 4 4 4 9 4 4 4 9 4 4 4 4 4 4 9 4 4 4 9 4 4 4 4 4 4 9 4 4 4 9 4 4 4 9 9 9 9 9 9 9 9 9 9 9 4 4 4 9 4 4 4 9 4 4 2 4 4 4 9 4 4 4 9 3 4 4 4 4 4 9 4 4 4 9 4 8 7 Example 4: Input: 4 4 4 9 3 4 4 9 4 4 4 4 1 4 9 4 4 7 9 4 4 5 0 4 4 9 4 0 4 9 4 0 4 9 9 9 9 9 9 9 9 9 9 9 4 4 4 9 4 4 4 9 4 4 4 5 4 0 9 4 4 1 9 4 3 8 4 8 4 9 4 4 4 9 4 4 4 9 9 9 9 9 9 9 9 9 9 9 4 1 4 9 4 5 4 9 4 4 4 4 4 3 9 4 4 4 9 4 4 0 8 4 4 9 4 2 4 9 4 1 4 Output: 4 4 4 9 4 4 4 9 4 4 4 4 4 4 9 4 4 4 9 4 4 4 4 4 4 9 4 4 4 9 4 4 4 9 9 9 9 9 9 9 9 9 9 9 4 4 4 9 4 4 4 9 3 4 4 4 4 4 9 4 4 4 9 4 4 7 4 4 4 9 4 4 4 9 4 0 4 9 9 9 9 9 9 9 9 9 9 9 4 4 4 9 4 4 4 9 4 4 4 4 4 4 9 4 4 4 9 4 4 4 4 4 4 9 4 4 4 9 4 4 4 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 2 4 4 9 4 3 4 9 4 1 3 4 4 1 9 4 2 4 9 4 4 4 3 4 4 9 4 1 4 9 2 8 4 9 9 9 9 9 9 9 9 9 9 9 1 4 2 9 4 8 4 9 4 3 4 4 1 4 9 4 2 3 9 4 2 4 3 4 4 9 4 4 4 9 1 4 7 9 9 9 9 9 9 9 9 9 9 9 4 4 4 9 1 4 8 9 4 4 2 3 1 4 9 4 3 4 9 1 3 4 2 4 8 9 2 4 4 9 4 8 4
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "4 4 4 9 4 4 4 9 4 4 4\n4 4 4 9 4 4 4 9 4 4 4\n4 4 4 9 4 4 4 9 4 4 4\n9 9 9 9 9 9 9 9 9 9 9\n4 4 4 9 4 4 4 9 4 4 4\n4 4 4 9 4 4 4 9 4 4 4\n4 4 4 9 4 4 4 9 4 4 4\n9 9 9 9 9 9 9 9 9 9 9\n4 4 4 9 4 4 4 9 4 3 4\n4 4 4 9 4 4 4 9 4 2 4\n4 4 4 9 4 4 4 9 1 4 7", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n4 8 4 9 4 8 4 9 4 4 1\n4 4 4 9 4 3 4 9 2 4 4\n3 4 4 9 4 7 4 9 4 4 8\n9 9 9 9 9 9 9 9 9 9 9\n4 4 4 9 4 4 4 9 4 1 4\n3 4 1 9 2 4 3 9 4 3 4\n4 5 4 9 4 4 4 9 4 8 4\n9 9 9 9 9 9 9 9 9 9 9\n4 4 4 9 4 4 4 9 4 4 4\n4 2 4 9 4 8 4 9 4 1 4\n8 4 4 9 4 5 4 9 4 4 2\nOutput:\n4 4 4 9 4 4 4 9 4 4 4\n4 4 4 9 4 4 4 9 4 4 4\n4 4 4 9 4 4 4 9 4 4 4\n9 9 9 9 9 9 9 9 9 9 9\n4 4 4 9 4 4 4 9 4 4 4\n4 4 4 9 4 4 4 9 4 4 4\n4 4 4 9 4 4 4 9 4 4 4\n9 9 9 9 9 9 9 9 9 9 9\n4 4 4 9 4 8 4 9 4 4 4\n4 4 4 9 4 3 4 9 4 4 4\n4 4 4 9 4 7 4 9 4 4 4\n\nExample 2:\n\nInput:\n4 3 4 9 4 1 4 9 4 1 3\n6 4 4 9 8 4 4 9 7 4 6\n4 1 4 9 4 6 4 9 4 4 4\n9 9 9 9 9 9 9 9 9 9 9\n4 4 1 9 4 4 4 9 8 4 4\n4 4 4 9 6 4 4 9 4 6 1\n4 6 3 9 4 8 4 9 4 4 3\n9 9 9 9 9 9 9 9 9 9 9\n4 4 4 9 4 8 4 9 4 4 4\n6 8 1 9 4 4 4 9 4 6 4\n4 3 4 9 4 1 4 9 3 4 4\nOutput:\n4 4 4 9 4 4 4 9 4 4 4\n4 4 4 9 4 4 4 9 4 4 4\n4 4 4 9 4 4 4 9 4 4 4\n9 9 9 9 9 9 9 9 9 9 9\n4 1 3 9 4 4 4 9 4 4 4\n7 4 6 9 4 4 4 9 4 4 4\n4 4 4 9 4 4 4 9 4 4 4\n9 9 9 9 9 9 9 9 9 9 9\n4 4 4 9 4 4 4 9 4 4 4\n4 4 4 9 4 4 4 9 4 4 4\n4 4 4 9 4 4 4 9 4 4 4\n\nExample 3:\n\nInput:\n4 4 2 9 4 1 4 9 4 8 4\n3 4 4 9 3 4 8 9 4 4 5\n4 8 7 9 4 2 4 9 2 4 3\n9 9 9 9 9 9 9 9 9 9 9\n8 4 4 9 2 4 4 9 4 1 4\n4 4 1 9 4 4 8 9 4 4 3\n3 4 2 9 6 3 4 9 4 2 8\n9 9 9 9 9 9 9 9 9 9 9\n3 2 4 9 4 4 2 9 4 8 4\n4 4 0 9 4 8 4 9 4 1 4\n8 4 4 9 3 4 1 9 6 4 3\nOutput:\n4 4 4 9 4 4 4 9 4 4 4\n4 4 4 9 4 4 4 9 4 4 4\n4 4 4 9 4 4 4 9 4 4 4\n9 9 9 9 9 9 9 9 9 9 9\n4 4 4 9 4 4 4 9 4 4 4\n4 4 4 9 4 4 4 9 4 4 4\n4 4 4 9 4 4 4 9 4 4 4\n9 9 9 9 9 9 9 9 9 9 9\n4 4 4 9 4 4 4 9 4 4 2\n4 4 4 9 4 4 4 9 3 4 4\n4 4 4 9 4 4 4 9 4 8 7\n\nExample 4:\n\nInput:\n4 4 4 9 3 4 4 9 4 4 4\n4 1 4 9 4 4 7 9 4 4 5\n0 4 4 9 4 0 4 9 4 0 4\n9 9 9 9 9 9 9 9 9 9 9\n4 4 4 9 4 4 4 9 4 4 4\n5 4 0 9 4 4 1 9 4 3 8\n4 8 4 9 4 4 4 9 4 4 4\n9 9 9 9 9 9 9 9 9 9 9\n4 1 4 9 4 5 4 9 4 4 4\n4 4 3 9 4 4 4 9 4 4 0\n8 4 4 9 4 2 4 9 4 1 4\nOutput:\n4 4 4 9 4 4 4 9 4 4 4\n4 4 4 9 4 4 4 9 4 4 4\n4 4 4 9 4 4 4 9 4 4 4\n9 9 9 9 9 9 9 9 9 9 9\n4 4 4 9 4 4 4 9 3 4 4\n4 4 4 9 4 4 4 9 4 4 7\n4 4 4 9 4 4 4 9 4 0 4\n9 9 9 9 9 9 9 9 9 9 9\n4 4 4 9 4 4 4 9 4 4 4\n4 4 4 9 4 4 4 9 4 4 4\n4 4 4 9 4 4 4 9 4 4 4\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n2 4 4 9 4 3 4 9 4 1 3\n4 4 1 9 4 2 4 9 4 4 4\n3 4 4 9 4 1 4 9 2 8 4\n9 9 9 9 9 9 9 9 9 9 9\n1 4 2 9 4 8 4 9 4 3 4\n4 1 4 9 4 2 3 9 4 2 4\n3 4 4 9 4 4 4 9 1 4 7\n9 9 9 9 9 9 9 9 9 9 9\n4 4 4 9 1 4 8 9 4 4 2\n3 1 4 9 4 3 4 9 1 3 4\n2 4 8 9 2 4 4 9 4 8 4\n", "answer": "4 4 4 9 4 4 4 9 4 4 4\n4 4 4 9 4 4 4 9 4 4 4\n4 4 4 9 4 4 4 9 4 4 4\n9 9 9 9 9 9 9 9 9 9 9\n4 4 4 9 4 4 4 9 4 4 4\n4 4 4 9 4 4 4 9 4 4 4\n4 4 4 9 4 4 4 9 4 4 4\n9 9 9 9 9 9 9 9 9 9 9\n4 4 4 9 4 4 4 9 4 3 4\n4 4 4 9 4 4 4 9 4 2 4\n4 4 4 9 4 4 4 9 1 4 7", "metadata": {"source_dataset": "arc_agi", "source_index": 242, "input": [[2, 4, 4, 9, 4, 3, 4, 9, 4, 1, 3], [4, 4, 1, 9, 4, 2, 4, 9, 4, 4, 4], [3, 4, 4, 9, 4, 1, 4, 9, 2, 8, 4], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [1, 4, 2, 9, 4, 8, 4, 9, 4, 3, 4], [4, 1, 4, 9, 4, 2, 3, 9, 4, 2, 4], [3, 4, 4, 9, 4, 4, 4, 9, 1, 4, 7], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 9, 1, 4, 8, 9, 4, 4, 2], [3, 1, 4, 9, 4, 3, 4, 9, 1, 3, 4], [2, 4, 8, 9, 2, 4, 4, 9, 4, 8, 4]], "output": [[4, 4, 4, 9, 4, 4, 4, 9, 4, 4, 4], [4, 4, 4, 9, 4, 4, 4, 9, 4, 4, 4], [4, 4, 4, 9, 4, 4, 4, 9, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 9, 4, 4, 4, 9, 4, 4, 4], [4, 4, 4, 9, 4, 4, 4, 9, 4, 4, 4], [4, 4, 4, 9, 4, 4, 4, 9, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 9, 4, 4, 4, 9, 4, 3, 4], [4, 4, 4, 9, 4, 4, 4, 9, 4, 2, 4], [4, 4, 4, 9, 4, 4, 4, 9, 1, 4, 7]], "task_id": "6d0160f0", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 242, "input": [[2, 4, 4, 9, 4, 3, 4, 9, 4, 1, 3], [4, 4, 1, 9, 4, 2, 4, 9, 4, 4, 4], [3, 4, 4, 9, 4, 1, 4, 9, 2, 8, 4], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [1, 4, 2, 9, 4, 8, 4, 9, 4, 3, 4], [4, 1, 4, 9, 4, 2, 3, 9, 4, 2, 4], [3, 4, 4, 9, 4, 4, 4, 9, 1, 4, 7], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 9, 1, 4, 8, 9, 4, 4, 2], [3, 1, 4, 9, 4, 3, 4, 9, 1, 3, 4], [2, 4, 8, 9, 2, 4, 4, 9, 4, 8, 4]], "output": [[4, 4, 4, 9, 4, 4, 4, 9, 4, 4, 4], [4, 4, 4, 9, 4, 4, 4, 9, 4, 4, 4], [4, 4, 4, 9, 4, 4, 4, 9, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 9, 4, 4, 4, 9, 4, 4, 4], [4, 4, 4, 9, 4, 4, 4, 9, 4, 4, 4], [4, 4, 4, 9, 4, 4, 4, 9, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 9, 4, 4, 4, 9, 4, 3, 4], [4, 4, 4, 9, 4, 4, 4, 9, 4, 2, 4], [4, 4, 4, 9, 4, 4, 4, 9, 1, 4, 7]], "task_id": "6d0160f0", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
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General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 5 4 9 9 4 5 5 5 9 4 5 4 Output: 9 4 5 5 4 9 5 4 9 9 4 5 9 5 5 5 5 9 4 5 4 4 5 4 4 5 4 4 5 4 9 5 5 5 5 9 5 4 9 9 4 5 9 4 5 5 4 9 Example 2: Input: 2 3 1 2 3 3 3 3 1 3 2 3 Output: 1 3 2 2 3 1 3 3 2 2 3 3 1 3 3 3 3 1 3 2 3 3 2 3 3 2 3 3 2 3 1 3 3 3 3 1 3 3 2 2 3 3 1 3 2 2 3 1 Example 3: Input: 3 6 6 3 3 3 7 6 6 7 3 6 Output: 6 6 3 3 6 6 3 3 3 3 3 3 6 6 7 7 6 6 6 3 7 7 3 6 6 3 7 7 3 6 6 6 7 7 6 6 3 3 3 3 3 3 6 6 3 3 6 6 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 6 6 3 1 6 6 3 1 3 6 1 3
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "3 6 6 6 6 3\n6 6 1 1 6 6\n3 1 3 3 1 3\n3 1 6 6 1 3\n3 1 6 6 1 3\n3 1 3 3 1 3\n6 6 1 1 6 6\n3 6 6 6 6 3", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n5 4 9\n9 4 5\n5 5 9\n4 5 4\nOutput:\n9 4 5 5 4 9\n5 4 9 9 4 5\n9 5 5 5 5 9\n4 5 4 4 5 4\n4 5 4 4 5 4\n9 5 5 5 5 9\n5 4 9 9 4 5\n9 4 5 5 4 9\n\nExample 2:\n\nInput:\n2 3 1\n2 3 3\n3 3 1\n3 2 3\nOutput:\n1 3 2 2 3 1\n3 3 2 2 3 3\n1 3 3 3 3 1\n3 2 3 3 2 3\n3 2 3 3 2 3\n1 3 3 3 3 1\n3 3 2 2 3 3\n1 3 2 2 3 1\n\nExample 3:\n\nInput:\n3 6 6\n3 3 3\n7 6 6\n7 3 6\nOutput:\n6 6 3 3 6 6\n3 3 3 3 3 3\n6 6 7 7 6 6\n6 3 7 7 3 6\n6 3 7 7 3 6\n6 6 7 7 6 6\n3 3 3 3 3 3\n6 6 3 3 6 6\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n6 6 3\n1 6 6\n3 1 3\n6 1 3\n", "answer": "3 6 6 6 6 3\n6 6 1 1 6 6\n3 1 3 3 1 3\n3 1 6 6 1 3\n3 1 6 6 1 3\n3 1 3 3 1 3\n6 6 1 1 6 6\n3 6 6 6 6 3", "metadata": {"source_dataset": "arc_agi", "source_index": 243, "input": [[6, 6, 3], [1, 6, 6], [3, 1, 3], [6, 1, 3]], "output": [[3, 6, 6, 6, 6, 3], [6, 6, 1, 1, 6, 6], [3, 1, 3, 3, 1, 3], [3, 1, 6, 6, 1, 3], [3, 1, 6, 6, 1, 3], [3, 1, 3, 3, 1, 3], [6, 6, 1, 1, 6, 6], [3, 6, 6, 6, 6, 3]], "task_id": "0c786b71", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 243, "input": [[6, 6, 3], [1, 6, 6], [3, 1, 3], [6, 1, 3]], "output": [[3, 6, 6, 6, 6, 3], [6, 6, 1, 1, 6, 6], [3, 1, 3, 3, 1, 3], [3, 1, 6, 6, 1, 3], [3, 1, 6, 6, 1, 3], [3, 1, 3, 3, 1, 3], [6, 6, 1, 1, 6, 6], [3, 6, 6, 6, 6, 3]], "task_id": "0c786b71", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
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General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 1 1 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 8 8 1 1 1 0 0 0 0 0 8 8 1 1 1 0 0 0 0 0 8 8 1 1 1 0 0 0 0 0 8 8 1 1 1 0 0 0 0 0 8 8 1 1 1 0 0 0 0 0 8 8 0 0 0 0 0 0 0 0 0 0 Output: 1 1 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 8 8 1 1 1 2 2 2 2 2 8 8 1 1 1 2 2 2 2 2 8 8 1 1 1 2 2 2 2 2 8 8 1 1 1 2 2 2 2 2 8 8 1 1 1 0 0 0 0 0 8 8 0 0 0 0 0 0 0 0 0 0 Example 2: Input: 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 4 0 0 4 4 4 4 4 4 4 4 0 0 4 4 4 4 4 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 9 9 9 9 0 0 0 0 0 9 9 9 9 9 0 0 0 0 0 9 9 9 9 9 0 0 Output: 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 4 0 0 4 4 4 4 4 4 4 4 0 0 4 4 4 4 4 4 4 4 0 0 0 0 0 2 2 2 0 0 0 0 0 0 0 2 2 2 0 0 0 0 0 0 0 2 2 2 0 0 0 0 0 0 9 9 9 9 9 0 0 0 0 0 9 9 9 9 9 0 0 0 0 0 9 9 9 9 9 0 0 Example 3: Input: 0 0 0 0 0 0 0 6 6 6 0 5 5 5 0 0 0 6 6 6 0 5 5 5 0 0 0 6 6 6 0 5 5 5 0 0 0 6 6 6 0 5 5 5 0 0 0 6 6 6 0 0 0 0 0 0 0 6 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Output: 0 0 0 0 0 0 0 6 6 6 0 5 5 5 0 0 0 6 6 6 0 5 5 5 2 2 2 6 6 6 0 5 5 5 2 2 2 6 6 6 0 5 5 5 0 0 0 6 6 6 0 0 0 0 0 0 0 6 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 3 3 3 3 3 3 3 3 0 0 3 3 3 3 3 3 3 3 0 0 3 3 3 3 3 3 3 3 0 0 3 3 3 3 3 3 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 5 5 5 5 5 0 0 0 0 5 5 5 5 5 5 0 0 0 0 5 5 5 5 5 5 0 0 0
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "3 3 3 3 3 3 3 3 0 0\n3 3 3 3 3 3 3 3 0 0\n3 3 3 3 3 3 3 3 0 0\n3 3 3 3 3 3 3 3 0 0\n0 0 2 2 2 2 0 0 0 0\n0 0 2 2 2 2 0 0 0 0\n0 0 2 2 2 2 0 0 0 0\n0 5 5 5 5 5 5 0 0 0\n0 5 5 5 5 5 5 0 0 0\n0 5 5 5 5 5 5 0 0 0", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n1 1 1 0 0 0 0 0 0 0\n1 1 1 0 0 0 0 0 0 0\n1 1 1 0 0 0 0 0 0 0\n1 1 1 0 0 0 0 0 8 8\n1 1 1 0 0 0 0 0 8 8\n1 1 1 0 0 0 0 0 8 8\n1 1 1 0 0 0 0 0 8 8\n1 1 1 0 0 0 0 0 8 8\n1 1 1 0 0 0 0 0 8 8\n0 0 0 0 0 0 0 0 0 0\nOutput:\n1 1 1 0 0 0 0 0 0 0\n1 1 1 0 0 0 0 0 0 0\n1 1 1 0 0 0 0 0 0 0\n1 1 1 0 0 0 0 0 8 8\n1 1 1 2 2 2 2 2 8 8\n1 1 1 2 2 2 2 2 8 8\n1 1 1 2 2 2 2 2 8 8\n1 1 1 2 2 2 2 2 8 8\n1 1 1 0 0 0 0 0 8 8\n0 0 0 0 0 0 0 0 0 0\n\nExample 2:\n\nInput:\n0 0 0 0 0 0 0 0 0 0\n0 4 4 4 4 4 4 4 4 0\n0 4 4 4 4 4 4 4 4 0\n0 4 4 4 4 4 4 4 4 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 9 9 9 9 9 0 0\n0 0 0 9 9 9 9 9 0 0\n0 0 0 9 9 9 9 9 0 0\nOutput:\n0 0 0 0 0 0 0 0 0 0\n0 4 4 4 4 4 4 4 4 0\n0 4 4 4 4 4 4 4 4 0\n0 4 4 4 4 4 4 4 4 0\n0 0 0 0 2 2 2 0 0 0\n0 0 0 0 2 2 2 0 0 0\n0 0 0 0 2 2 2 0 0 0\n0 0 0 9 9 9 9 9 0 0\n0 0 0 9 9 9 9 9 0 0\n0 0 0 9 9 9 9 9 0 0\n\nExample 3:\n\nInput:\n0 0 0 0 0 0 0 6 6 6\n0 5 5 5 0 0 0 6 6 6\n0 5 5 5 0 0 0 6 6 6\n0 5 5 5 0 0 0 6 6 6\n0 5 5 5 0 0 0 6 6 6\n0 0 0 0 0 0 0 6 6 6\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\nOutput:\n0 0 0 0 0 0 0 6 6 6\n0 5 5 5 0 0 0 6 6 6\n0 5 5 5 2 2 2 6 6 6\n0 5 5 5 2 2 2 6 6 6\n0 5 5 5 0 0 0 6 6 6\n0 0 0 0 0 0 0 6 6 6\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n3 3 3 3 3 3 3 3 0 0\n3 3 3 3 3 3 3 3 0 0\n3 3 3 3 3 3 3 3 0 0\n3 3 3 3 3 3 3 3 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 5 5 5 5 5 5 0 0 0\n0 5 5 5 5 5 5 0 0 0\n0 5 5 5 5 5 5 0 0 0\n", "answer": "3 3 3 3 3 3 3 3 0 0\n3 3 3 3 3 3 3 3 0 0\n3 3 3 3 3 3 3 3 0 0\n3 3 3 3 3 3 3 3 0 0\n0 0 2 2 2 2 0 0 0 0\n0 0 2 2 2 2 0 0 0 0\n0 0 2 2 2 2 0 0 0 0\n0 5 5 5 5 5 5 0 0 0\n0 5 5 5 5 5 5 0 0 0\n0 5 5 5 5 5 5 0 0 0", "metadata": {"source_dataset": "arc_agi", "source_index": 244, "input": [[3, 3, 3, 3, 3, 3, 3, 3, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 5, 5, 5, 5, 5, 0, 0, 0], [0, 5, 5, 5, 5, 5, 5, 0, 0, 0], [0, 5, 5, 5, 5, 5, 5, 0, 0, 0]], "output": [[3, 3, 3, 3, 3, 3, 3, 3, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 0, 0], [0, 0, 2, 2, 2, 2, 0, 0, 0, 0], [0, 0, 2, 2, 2, 2, 0, 0, 0, 0], [0, 0, 2, 2, 2, 2, 0, 0, 0, 0], [0, 5, 5, 5, 5, 5, 5, 0, 0, 0], [0, 5, 5, 5, 5, 5, 5, 0, 0, 0], [0, 5, 5, 5, 5, 5, 5, 0, 0, 0]], "task_id": "d6ad076f", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 244, "input": [[3, 3, 3, 3, 3, 3, 3, 3, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 5, 5, 5, 5, 5, 0, 0, 0], [0, 5, 5, 5, 5, 5, 5, 0, 0, 0], [0, 5, 5, 5, 5, 5, 5, 0, 0, 0]], "output": [[3, 3, 3, 3, 3, 3, 3, 3, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 0, 0], [0, 0, 2, 2, 2, 2, 0, 0, 0, 0], [0, 0, 2, 2, 2, 2, 0, 0, 0, 0], [0, 0, 2, 2, 2, 2, 0, 0, 0, 0], [0, 5, 5, 5, 5, 5, 5, 0, 0, 0], [0, 5, 5, 5, 5, 5, 5, 0, 0, 0], [0, 5, 5, 5, 5, 5, 5, 0, 0, 0]], "task_id": "d6ad076f", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
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General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Output: 2 2 2 2 2 4 4 4 4 4 2 1 2 1 1 1 1 4 1 4 2 1 2 1 1 1 1 4 1 4 2 1 2 1 1 1 1 4 1 4 2 1 2 1 1 1 1 4 1 4 2 1 2 1 1 1 1 4 1 4 2 1 2 1 1 1 1 4 1 4 2 1 2 1 1 1 1 4 1 4 2 1 2 1 1 1 1 4 1 4 2 2 2 2 2 4 4 4 4 4 Example 2: Input: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 8 1 1 1 1 6 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Output: 6 6 6 6 6 8 8 8 8 8 6 1 6 1 1 1 1 8 1 8 6 1 6 1 1 1 1 8 1 8 6 1 6 1 1 1 1 8 1 8 6 1 6 1 1 1 1 8 1 8 6 1 6 1 1 1 1 8 1 8 6 1 6 1 1 1 1 8 1 8 6 1 6 1 1 1 1 8 1 8 6 1 6 1 1 1 1 8 1 8 6 6 6 6 6 8 8 8 8 8 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "0 0 0 0 0 5 5 5 5 5\n0 1 0 1 1 1 1 5 1 5\n0 1 0 1 1 1 1 5 1 5\n0 1 0 1 1 1 1 5 1 5\n0 1 0 1 1 1 1 5 1 5\n0 1 0 1 1 1 1 5 1 5\n0 1 0 1 1 1 1 5 1 5\n0 1 0 1 1 1 1 5 1 5\n0 1 0 1 1 1 1 5 1 5\n0 0 0 0 0 5 5 5 5 5", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n1 1 2 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 4 1 1\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\nOutput:\n2 2 2 2 2 4 4 4 4 4\n2 1 2 1 1 1 1 4 1 4\n2 1 2 1 1 1 1 4 1 4\n2 1 2 1 1 1 1 4 1 4\n2 1 2 1 1 1 1 4 1 4\n2 1 2 1 1 1 1 4 1 4\n2 1 2 1 1 1 1 4 1 4\n2 1 2 1 1 1 1 4 1 4\n2 1 2 1 1 1 1 4 1 4\n2 2 2 2 2 4 4 4 4 4\n\nExample 2:\n\nInput:\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 8 1 1\n1 1 6 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\nOutput:\n6 6 6 6 6 8 8 8 8 8\n6 1 6 1 1 1 1 8 1 8\n6 1 6 1 1 1 1 8 1 8\n6 1 6 1 1 1 1 8 1 8\n6 1 6 1 1 1 1 8 1 8\n6 1 6 1 1 1 1 8 1 8\n6 1 6 1 1 1 1 8 1 8\n6 1 6 1 1 1 1 8 1 8\n6 1 6 1 1 1 1 8 1 8\n6 6 6 6 6 8 8 8 8 8\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n1 1 0 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 5 1 1\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n", "answer": "0 0 0 0 0 5 5 5 5 5\n0 1 0 1 1 1 1 5 1 5\n0 1 0 1 1 1 1 5 1 5\n0 1 0 1 1 1 1 5 1 5\n0 1 0 1 1 1 1 5 1 5\n0 1 0 1 1 1 1 5 1 5\n0 1 0 1 1 1 1 5 1 5\n0 1 0 1 1 1 1 5 1 5\n0 1 0 1 1 1 1 5 1 5\n0 0 0 0 0 5 5 5 5 5", "metadata": {"source_dataset": "arc_agi", "source_index": 245, "input": [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 0, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 5, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]], "output": [[0, 0, 0, 0, 0, 5, 5, 5, 5, 5], [0, 1, 0, 1, 1, 1, 1, 5, 1, 5], [0, 1, 0, 1, 1, 1, 1, 5, 1, 5], [0, 1, 0, 1, 1, 1, 1, 5, 1, 5], [0, 1, 0, 1, 1, 1, 1, 5, 1, 5], [0, 1, 0, 1, 1, 1, 1, 5, 1, 5], [0, 1, 0, 1, 1, 1, 1, 5, 1, 5], [0, 1, 0, 1, 1, 1, 1, 5, 1, 5], [0, 1, 0, 1, 1, 1, 1, 5, 1, 5], [0, 0, 0, 0, 0, 5, 5, 5, 5, 5]], "task_id": "1bfc4729", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 245, "input": [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 0, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 5, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]], "output": [[0, 0, 0, 0, 0, 5, 5, 5, 5, 5], [0, 1, 0, 1, 1, 1, 1, 5, 1, 5], [0, 1, 0, 1, 1, 1, 1, 5, 1, 5], [0, 1, 0, 1, 1, 1, 1, 5, 1, 5], [0, 1, 0, 1, 1, 1, 1, 5, 1, 5], [0, 1, 0, 1, 1, 1, 1, 5, 1, 5], [0, 1, 0, 1, 1, 1, 1, 5, 1, 5], [0, 1, 0, 1, 1, 1, 1, 5, 1, 5], [0, 1, 0, 1, 1, 1, 1, 5, 1, 5], [0, 0, 0, 0, 0, 5, 5, 5, 5, 5]], "task_id": "1bfc4729", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
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General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 9 9 9 9 9 9 5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 9 5 9 9 9 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 Output: 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 9 9 9 9 9 9 5 5 5 5 9 0 0 0 0 9 5 5 5 5 9 0 0 0 0 9 5 5 5 5 9 0 0 0 0 9 5 5 5 5 9 0 0 0 0 9 5 5 5 5 9 9 0 9 9 9 5 5 5 5 5 5 0 5 5 5 5 5 5 5 5 5 0 5 5 5 5 5 Example 2: Input: 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 9 9 5 9 9 9 5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 9 9 9 9 9 5 5 Output: 5 5 5 5 0 5 5 5 5 5 5 5 5 5 0 5 5 5 5 5 5 5 5 5 0 5 5 5 5 5 5 5 5 5 0 5 5 5 5 5 5 5 5 5 0 5 5 5 5 5 5 5 9 9 0 9 9 9 5 5 5 5 9 0 0 0 0 9 5 5 5 5 9 0 0 0 0 9 5 5 5 5 9 0 0 0 0 9 5 5 5 5 9 9 9 9 9 9 5 5 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 9 9 9 9 9 5 5 5 5 5 9 5 5 5 9 5 5 5 5 5 9 5 5 5 9 5 5 5 5 5 5 5 5 5 9 5 5 5 5 5 9 5 5 5 9 5 5 5 5 5 9 9 9 9 9 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5\n5 5 5 9 9 9 9 9 5 5\n5 5 5 9 0 0 0 9 5 5\n5 5 5 9 0 0 0 9 5 5\n0 0 0 0 0 0 0 9 5 5\n5 5 5 9 0 0 0 9 5 5\n5 5 5 9 9 9 9 9 5 5\n5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5\n5 5 9 9 9 9 9 9 5 5\n5 5 9 5 5 5 5 9 5 5\n5 5 9 5 5 5 5 9 5 5\n5 5 9 5 5 5 5 9 5 5\n5 5 9 5 5 5 5 9 5 5\n5 5 9 9 5 9 9 9 5 5\n5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5\nOutput:\n5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5\n5 5 9 9 9 9 9 9 5 5\n5 5 9 0 0 0 0 9 5 5\n5 5 9 0 0 0 0 9 5 5\n5 5 9 0 0 0 0 9 5 5\n5 5 9 0 0 0 0 9 5 5\n5 5 9 9 0 9 9 9 5 5\n5 5 5 5 0 5 5 5 5 5\n5 5 5 5 0 5 5 5 5 5\n\nExample 2:\n\nInput:\n5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5\n5 5 9 9 5 9 9 9 5 5\n5 5 9 5 5 5 5 9 5 5\n5 5 9 5 5 5 5 9 5 5\n5 5 9 5 5 5 5 9 5 5\n5 5 9 9 9 9 9 9 5 5\nOutput:\n5 5 5 5 0 5 5 5 5 5\n5 5 5 5 0 5 5 5 5 5\n5 5 5 5 0 5 5 5 5 5\n5 5 5 5 0 5 5 5 5 5\n5 5 5 5 0 5 5 5 5 5\n5 5 9 9 0 9 9 9 5 5\n5 5 9 0 0 0 0 9 5 5\n5 5 9 0 0 0 0 9 5 5\n5 5 9 0 0 0 0 9 5 5\n5 5 9 9 9 9 9 9 5 5\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5\n5 5 5 9 9 9 9 9 5 5\n5 5 5 9 5 5 5 9 5 5\n5 5 5 9 5 5 5 9 5 5\n5 5 5 5 5 5 5 9 5 5\n5 5 5 9 5 5 5 9 5 5\n5 5 5 9 9 9 9 9 5 5\n5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5\n", "answer": "5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5\n5 5 5 9 9 9 9 9 5 5\n5 5 5 9 0 0 0 9 5 5\n5 5 5 9 0 0 0 9 5 5\n0 0 0 0 0 0 0 9 5 5\n5 5 5 9 0 0 0 9 5 5\n5 5 5 9 9 9 9 9 5 5\n5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5", "metadata": {"source_dataset": "arc_agi", "source_index": 246, "input": [[5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 9, 9, 9, 9, 9, 5, 5], [5, 5, 5, 9, 5, 5, 5, 9, 5, 5], [5, 5, 5, 9, 5, 5, 5, 9, 5, 5], [5, 5, 5, 5, 5, 5, 5, 9, 5, 5], [5, 5, 5, 9, 5, 5, 5, 9, 5, 5], [5, 5, 5, 9, 9, 9, 9, 9, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5]], "output": [[5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 9, 9, 9, 9, 9, 5, 5], [5, 5, 5, 9, 0, 0, 0, 9, 5, 5], [5, 5, 5, 9, 0, 0, 0, 9, 5, 5], [0, 0, 0, 0, 0, 0, 0, 9, 5, 5], [5, 5, 5, 9, 0, 0, 0, 9, 5, 5], [5, 5, 5, 9, 9, 9, 9, 9, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5]], "task_id": "d4f3cd78", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 246, "input": [[5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 9, 9, 9, 9, 9, 5, 5], [5, 5, 5, 9, 5, 5, 5, 9, 5, 5], [5, 5, 5, 9, 5, 5, 5, 9, 5, 5], [5, 5, 5, 5, 5, 5, 5, 9, 5, 5], [5, 5, 5, 9, 5, 5, 5, 9, 5, 5], [5, 5, 5, 9, 9, 9, 9, 9, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5]], "output": [[5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 9, 9, 9, 9, 9, 5, 5], [5, 5, 5, 9, 0, 0, 0, 9, 5, 5], [5, 5, 5, 9, 0, 0, 0, 9, 5, 5], [0, 0, 0, 0, 0, 0, 0, 9, 5, 5], [5, 5, 5, 9, 0, 0, 0, 9, 5, 5], [5, 5, 5, 9, 9, 9, 9, 9, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5]], "task_id": "d4f3cd78", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null
General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 4 4 0 4 4 4 1 4 4 4 4 0 4 4 4 1 4 4 4 4 0 4 4 4 1 4 4 4 4 0 4 4 4 1 4 4 9 9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 1 4 4 4 4 0 4 4 4 1 4 4 Output: 0 0 0 0 Example 2: Input: 4 4 4 4 4 4 1 4 4 4 4 0 4 4 4 1 4 4 4 4 0 4 4 4 1 4 4 4 4 0 4 4 4 1 4 4 4 4 0 4 4 4 1 4 4 9 9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 1 4 4 4 4 4 4 4 4 1 4 4 4 4 0 4 4 4 1 4 4 Output: 0 0 0 0 Example 3: Input: 4 4 4 4 4 4 4 4 4 4 4 0 4 4 4 4 4 4 4 4 0 4 4 4 1 4 4 4 4 0 4 4 4 1 4 4 4 4 0 4 4 4 1 4 4 9 9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 4 4 4 1 4 4 4 4 0 4 4 4 1 4 4 Output: 0 0 0 0 Example 4: Input: 4 4 4 4 4 4 1 4 4 4 4 4 4 4 4 1 4 4 4 4 0 4 4 4 1 4 4 4 4 0 4 4 4 1 4 4 9 9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 1 4 4 4 4 0 4 4 4 1 4 4 Output: 1 1 1 1 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 4 4 4 4 4 4 4 4 4 4 4 0 4 4 4 1 4 4 4 4 0 4 4 4 1 4 4 4 4 0 4 4 4 1 4 4 4 4 0 4 4 4 1 4 4 9 9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 4 4 4 4 4 4 4 4 0 4 4 4 1 4 4 4 4 0 4 4 4 1 4 4
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "1 1\n1 1", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n4 4 0 4 4 4 1 4 4\n4 4 0 4 4 4 1 4 4\n4 4 0 4 4 4 1 4 4\n4 4 0 4 4 4 1 4 4\n9 9 9 9 9 9 9 9 9\n4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 1 4 4\n4 4 0 4 4 4 1 4 4\nOutput:\n0 0\n0 0\n\nExample 2:\n\nInput:\n4 4 4 4 4 4 1 4 4\n4 4 0 4 4 4 1 4 4\n4 4 0 4 4 4 1 4 4\n4 4 0 4 4 4 1 4 4\n4 4 0 4 4 4 1 4 4\n9 9 9 9 9 9 9 9 9\n4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 1 4 4\n4 4 4 4 4 4 1 4 4\n4 4 0 4 4 4 1 4 4\nOutput:\n0 0\n0 0\n\nExample 3:\n\nInput:\n4 4 4 4 4 4 4 4 4\n4 4 0 4 4 4 4 4 4\n4 4 0 4 4 4 1 4 4\n4 4 0 4 4 4 1 4 4\n4 4 0 4 4 4 1 4 4\n9 9 9 9 9 9 9 9 9\n4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4\n4 4 0 4 4 4 1 4 4\n4 4 0 4 4 4 1 4 4\nOutput:\n0 0\n0 0\n\nExample 4:\n\nInput:\n4 4 4 4 4 4 1 4 4\n4 4 4 4 4 4 1 4 4\n4 4 0 4 4 4 1 4 4\n4 4 0 4 4 4 1 4 4\n9 9 9 9 9 9 9 9 9\n4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 1 4 4\n4 4 0 4 4 4 1 4 4\nOutput:\n1 1\n1 1\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n4 4 4 4 4 4 4 4 4\n4 4 0 4 4 4 1 4 4\n4 4 0 4 4 4 1 4 4\n4 4 0 4 4 4 1 4 4\n4 4 0 4 4 4 1 4 4\n9 9 9 9 9 9 9 9 9\n4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4\n4 4 0 4 4 4 4 4 4\n4 4 0 4 4 4 1 4 4\n4 4 0 4 4 4 1 4 4\n", "answer": "1 1\n1 1", "metadata": {"source_dataset": "arc_agi", "source_index": 247, "input": [[4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 0, 4, 4, 4, 1, 4, 4], [4, 4, 0, 4, 4, 4, 1, 4, 4], [4, 4, 0, 4, 4, 4, 1, 4, 4], [4, 4, 0, 4, 4, 4, 1, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 0, 4, 4, 4, 4, 4, 4], [4, 4, 0, 4, 4, 4, 1, 4, 4], [4, 4, 0, 4, 4, 4, 1, 4, 4]], "output": [[1, 1], [1, 1]], "task_id": "8597cfd7", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 247, "input": [[4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 0, 4, 4, 4, 1, 4, 4], [4, 4, 0, 4, 4, 4, 1, 4, 4], [4, 4, 0, 4, 4, 4, 1, 4, 4], [4, 4, 0, 4, 4, 4, 1, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 0, 4, 4, 4, 4, 4, 4], [4, 4, 0, 4, 4, 4, 1, 4, 4], [4, 4, 0, 4, 4, 4, 1, 4, 4]], "output": [[1, 1], [1, 1]], "task_id": "8597cfd7", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null
General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 6 6 3 3 3 3 3 6 3 3 3 3 6 6 3 3 3 3 6 6 6 6 3 6 3 3 3 3 6 3 3 3 3 3 6 6 6 6 3 6 3 6 3 6 3 6 6 3 6 3 6 3 3 3 3 6 3 3 6 6 6 6 6 3 6 3 3 3 3 6 3 6 3 3 3 3 6 6 6 3 6 3 3 3 3 6 3 3 6 6 6 3 3 3 3 3 6 6 3 3 Output: 6 6 3 3 7 7 7 6 3 3 3 3 6 6 7 7 7 3 6 6 6 6 3 6 7 7 7 3 6 3 3 3 3 3 6 6 6 6 3 6 3 6 3 6 3 6 6 3 6 3 6 3 3 3 3 6 7 7 6 6 6 6 6 3 6 3 7 7 3 6 3 6 7 7 7 3 6 6 6 3 6 3 7 7 7 6 3 3 6 6 6 3 7 7 7 3 6 6 3 3 Example 2: Input: 3 6 3 3 6 3 3 3 3 3 6 6 3 3 3 6 6 3 6 3 3 3 3 6 6 3 3 6 6 6 3 3 6 3 6 6 3 3 6 3 3 6 3 3 3 3 3 3 6 3 6 3 6 3 3 6 6 6 3 6 3 3 3 6 3 6 6 3 6 3 3 3 6 3 6 6 6 3 3 3 6 3 6 6 3 6 6 3 6 3 3 3 3 3 3 3 3 6 3 3 Output: 3 6 7 7 6 3 3 3 3 3 6 6 7 7 3 6 6 3 6 3 7 7 3 6 6 3 3 6 6 6 7 7 6 3 6 6 7 7 6 3 3 6 3 7 7 3 7 7 6 3 6 3 6 7 7 6 6 6 3 6 7 7 3 6 3 6 6 3 6 3 7 7 6 3 6 6 6 3 3 3 6 3 6 6 3 6 6 3 6 3 3 3 3 3 3 3 3 6 3 3 Example 3: Input: 3 3 6 3 3 3 3 6 3 6 3 6 3 3 3 6 3 3 3 6 3 3 6 3 6 3 3 3 3 3 3 3 3 3 6 3 3 3 3 3 3 6 6 3 3 6 6 6 3 6 6 3 3 6 3 6 3 3 3 3 6 6 6 6 3 6 6 6 3 3 3 3 3 6 3 3 3 3 6 3 3 3 3 3 6 6 6 6 6 6 3 3 3 3 3 6 3 3 6 3 Output: 3 3 6 7 7 3 3 6 3 6 3 6 3 7 7 6 7 7 7 6 7 7 6 3 6 3 7 7 7 3 7 7 3 3 6 3 7 7 7 3 3 6 6 3 3 6 6 6 3 6 6 3 3 6 3 6 3 3 7 7 6 6 6 6 3 6 6 6 7 7 7 7 7 6 3 3 3 3 6 3 7 7 7 3 6 6 6 6 6 6 7 7 7 3 3 6 3 3 6 3 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 6 3 3 3 6 3 6 3 6 3 6 3 3 6 3 6 6 3 3 3 6 6 3 6 6 3 3 6 6 3 6 3 3 3 3 3 3 6 3 3 6 3 3 3 6 6 3 3 3 6 3 3 3 3 3 3 6 6 3 3 3 3 6 6 3 3 6 6 3 3 6 3 6 3 6 3 6 3 3 6 3 6 6 3 6 3 3 6 6 6 3 3 3 6 6 6 3 3 3 3
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "6 7 7 3 6 3 6 3 6 3\n6 7 7 6 3 6 6 3 3 3\n6 6 3 6 6 7 7 6 6 3\n6 7 7 7 3 7 7 6 3 3\n6 7 7 7 6 6 3 3 3 6\n3 7 7 7 7 7 6 6 7 7\n3 3 6 6 7 7 6 6 7 7\n6 3 6 3 6 3 6 3 3 6\n3 6 6 3 6 3 3 6 6 6\n3 3 3 6 6 6 3 3 3 3", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n6 6 3 3 3 3 3 6 3 3\n3 3 6 6 3 3 3 3 6 6\n6 6 3 6 3 3 3 3 6 3\n3 3 3 3 6 6 6 6 3 6\n3 6 3 6 3 6 6 3 6 3\n6 3 3 3 3 6 3 3 6 6\n6 6 6 3 6 3 3 3 3 6\n3 6 3 3 3 3 6 6 6 3\n6 3 3 3 3 6 3 3 6 6\n6 3 3 3 3 3 6 6 3 3\nOutput:\n6 6 3 3 7 7 7 6 3 3\n3 3 6 6 7 7 7 3 6 6\n6 6 3 6 7 7 7 3 6 3\n3 3 3 3 6 6 6 6 3 6\n3 6 3 6 3 6 6 3 6 3\n6 3 3 3 3 6 7 7 6 6\n6 6 6 3 6 3 7 7 3 6\n3 6 7 7 7 3 6 6 6 3\n6 3 7 7 7 6 3 3 6 6\n6 3 7 7 7 3 6 6 3 3\n\nExample 2:\n\nInput:\n3 6 3 3 6 3 3 3 3 3\n6 6 3 3 3 6 6 3 6 3\n3 3 3 6 6 3 3 6 6 6\n3 3 6 3 6 6 3 3 6 3\n3 6 3 3 3 3 3 3 6 3\n6 3 6 3 3 6 6 6 3 6\n3 3 3 6 3 6 6 3 6 3\n3 3 6 3 6 6 6 3 3 3\n6 3 6 6 3 6 6 3 6 3\n3 3 3 3 3 3 3 6 3 3\nOutput:\n3 6 7 7 6 3 3 3 3 3\n6 6 7 7 3 6 6 3 6 3\n7 7 3 6 6 3 3 6 6 6\n7 7 6 3 6 6 7 7 6 3\n3 6 3 7 7 3 7 7 6 3\n6 3 6 7 7 6 6 6 3 6\n7 7 3 6 3 6 6 3 6 3\n7 7 6 3 6 6 6 3 3 3\n6 3 6 6 3 6 6 3 6 3\n3 3 3 3 3 3 3 6 3 3\n\nExample 3:\n\nInput:\n3 3 6 3 3 3 3 6 3 6\n3 6 3 3 3 6 3 3 3 6\n3 3 6 3 6 3 3 3 3 3\n3 3 3 3 6 3 3 3 3 3\n3 6 6 3 3 6 6 6 3 6\n6 3 3 6 3 6 3 3 3 3\n6 6 6 6 3 6 6 6 3 3\n3 3 3 6 3 3 3 3 6 3\n3 3 3 3 6 6 6 6 6 6\n3 3 3 3 3 6 3 3 6 3\nOutput:\n3 3 6 7 7 3 3 6 3 6\n3 6 3 7 7 6 7 7 7 6\n7 7 6 3 6 3 7 7 7 3\n7 7 3 3 6 3 7 7 7 3\n3 6 6 3 3 6 6 6 3 6\n6 3 3 6 3 6 3 3 7 7\n6 6 6 6 3 6 6 6 7 7\n7 7 7 6 3 3 3 3 6 3\n7 7 7 3 6 6 6 6 6 6\n7 7 7 3 3 6 3 3 6 3\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n6 3 3 3 6 3 6 3 6 3\n6 3 3 6 3 6 6 3 3 3\n6 6 3 6 6 3 3 6 6 3\n6 3 3 3 3 3 3 6 3 3\n6 3 3 3 6 6 3 3 3 6\n3 3 3 3 3 3 6 6 3 3\n3 3 6 6 3 3 6 6 3 3\n6 3 6 3 6 3 6 3 3 6\n3 6 6 3 6 3 3 6 6 6\n3 3 3 6 6 6 3 3 3 3\n", "answer": "6 7 7 3 6 3 6 3 6 3\n6 7 7 6 3 6 6 3 3 3\n6 6 3 6 6 7 7 6 6 3\n6 7 7 7 3 7 7 6 3 3\n6 7 7 7 6 6 3 3 3 6\n3 7 7 7 7 7 6 6 7 7\n3 3 6 6 7 7 6 6 7 7\n6 3 6 3 6 3 6 3 3 6\n3 6 6 3 6 3 3 6 6 6\n3 3 3 6 6 6 3 3 3 3", "metadata": {"source_dataset": "arc_agi", "source_index": 248, "input": [[6, 3, 3, 3, 6, 3, 6, 3, 6, 3], [6, 3, 3, 6, 3, 6, 6, 3, 3, 3], [6, 6, 3, 6, 6, 3, 3, 6, 6, 3], [6, 3, 3, 3, 3, 3, 3, 6, 3, 3], [6, 3, 3, 3, 6, 6, 3, 3, 3, 6], [3, 3, 3, 3, 3, 3, 6, 6, 3, 3], [3, 3, 6, 6, 3, 3, 6, 6, 3, 3], [6, 3, 6, 3, 6, 3, 6, 3, 3, 6], [3, 6, 6, 3, 6, 3, 3, 6, 6, 6], [3, 3, 3, 6, 6, 6, 3, 3, 3, 3]], "output": [[6, 7, 7, 3, 6, 3, 6, 3, 6, 3], [6, 7, 7, 6, 3, 6, 6, 3, 3, 3], [6, 6, 3, 6, 6, 7, 7, 6, 6, 3], [6, 7, 7, 7, 3, 7, 7, 6, 3, 3], [6, 7, 7, 7, 6, 6, 3, 3, 3, 6], [3, 7, 7, 7, 7, 7, 6, 6, 7, 7], [3, 3, 6, 6, 7, 7, 6, 6, 7, 7], [6, 3, 6, 3, 6, 3, 6, 3, 3, 6], [3, 6, 6, 3, 6, 3, 3, 6, 6, 6], [3, 3, 3, 6, 6, 6, 3, 3, 3, 3]], "task_id": "31adaf00", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 248, "input": [[6, 3, 3, 3, 6, 3, 6, 3, 6, 3], [6, 3, 3, 6, 3, 6, 6, 3, 3, 3], [6, 6, 3, 6, 6, 3, 3, 6, 6, 3], [6, 3, 3, 3, 3, 3, 3, 6, 3, 3], [6, 3, 3, 3, 6, 6, 3, 3, 3, 6], [3, 3, 3, 3, 3, 3, 6, 6, 3, 3], [3, 3, 6, 6, 3, 3, 6, 6, 3, 3], [6, 3, 6, 3, 6, 3, 6, 3, 3, 6], [3, 6, 6, 3, 6, 3, 3, 6, 6, 6], [3, 3, 3, 6, 6, 6, 3, 3, 3, 3]], "output": [[6, 7, 7, 3, 6, 3, 6, 3, 6, 3], [6, 7, 7, 6, 3, 6, 6, 3, 3, 3], [6, 6, 3, 6, 6, 7, 7, 6, 6, 3], [6, 7, 7, 7, 3, 7, 7, 6, 3, 3], [6, 7, 7, 7, 6, 6, 3, 3, 3, 6], [3, 7, 7, 7, 7, 7, 6, 6, 7, 7], [3, 3, 6, 6, 7, 7, 6, 6, 7, 7], [6, 3, 6, 3, 6, 3, 6, 3, 3, 6], [3, 6, 6, 3, 6, 3, 3, 6, 6, 6], [3, 3, 3, 6, 6, 6, 3, 3, 3, 3]], "task_id": "31adaf00", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null
General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 9 6 6 5 6 0 5 0 6 4 4 5 5 4 4 6 0 5 0 6 5 6 6 9 6 6 0 2 0 5 0 4 4 5 4 4 4 4 5 4 4 0 5 0 2 0 6 6 6 0 0 2 0 2 6 4 5 9 6 5 5 6 9 5 4 6 2 0 2 0 0 6 5 2 2 2 6 6 4 5 9 4 6 4 4 6 4 9 5 4 6 6 2 2 2 5 6 0 0 6 5 9 4 4 6 6 9 0 0 9 6 6 4 4 9 5 6 0 0 6 0 5 2 6 9 9 5 4 5 4 0 0 0 0 4 5 4 5 9 9 6 2 5 0 5 0 6 4 4 5 9 6 6 9 9 6 6 9 9 6 6 9 5 4 4 6 0 5 0 4 4 5 4 4 6 4 4 9 4 4 4 4 9 4 4 6 4 4 5 4 4 0 6 4 5 9 6 5 6 4 6 5 9 9 9 9 5 6 4 6 5 6 9 5 4 6 4 5 9 4 6 4 9 9 5 1 1 6 6 1 1 5 9 9 4 6 4 9 5 4 4 4 6 6 9 0 9 4 9 1 4 1 1 4 1 9 4 9 0 9 6 6 4 4 5 4 5 4 0 0 6 4 9 6 1 5 5 1 6 9 4 6 0 0 4 5 4 5 5 4 5 4 0 0 6 4 9 6 1 5 5 1 6 9 4 6 0 0 4 5 4 5 4 4 6 6 9 0 9 4 9 1 4 1 1 4 1 9 4 9 0 9 6 6 4 4 4 5 9 4 6 4 9 9 5 1 1 6 6 1 1 5 9 9 4 6 4 9 5 4 6 3 3 3 3 3 3 4 6 5 9 9 9 9 5 6 4 6 5 6 9 5 4 6 0 3 3 3 3 3 3 4 4 9 4 4 4 4 9 4 4 6 4 4 5 4 4 0 5 3 3 3 3 3 3 6 6 9 9 6 6 9 9 6 6 9 5 4 4 6 0 5 0 3 3 3 3 3 3 4 5 4 0 0 0 0 4 5 4 5 9 9 6 2 5 0 6 3 3 3 3 3 3 4 6 6 9 0 0 9 6 6 4 4 9 5 6 0 0 6 5 2 2 2 6 6 4 5 9 4 6 4 4 6 4 9 5 4 6 6 2 2 2 5 6 0 0 2 0 2 6 4 5 9 6 5 5 6 9 5 4 6 2 0 2 0 0 6 6 6 0 2 0 5 0 4 4 5 4 4 4 4 5 4 4 0 5 0 2 0 6 6 9 6 6 5 6 0 5 0 6 4 4 5 5 4 4 6 0 5 0 6 5 6 6 9 Output: 4 5 9 6 5 6 4 4 5 4 4 6 0 6 4 4 5 9 5 2 6 9 9 5 0 0 6 5 9 4 Example 2: Input: 6 6 7 5 5 7 0 6 6 4 9 8 8 9 4 6 6 0 7 5 5 7 6 6 6 0 7 5 0 0 6 4 6 9 9 9 9 9 9 6 4 6 0 0 5 7 0 6 7 7 6 6 6 7 6 6 8 4 0 4 4 0 4 8 6 6 7 6 6 6 7 7 5 5 6 7 0 1 4 9 4 9 0 0 0 0 9 4 9 4 1 0 7 6 5 5 5 0 6 0 7 6 9 9 0 0 8 9 9 8 0 0 9 9 6 7 0 6 0 5 7 0 7 1 6 6 8 9 4 0 9 6 6 9 0 4 9 8 6 6 1 7 0 7 0 6 6 4 9 8 4 7 1 6 4 0 0 4 6 1 7 4 8 9 4 6 6 0 6 4 6 9 9 9 7 4 7 0 1 4 4 1 0 7 4 7 9 9 9 6 4 6 6 6 8 4 0 4 1 7 1 0 1 1 1 1 0 1 7 1 4 0 4 8 6 6 4 9 4 9 0 0 6 0 0 1 1 0 0 1 1 0 0 6 0 0 9 4 9 4 9 9 0 0 8 9 4 1 1 1 1 7 7 1 1 1 1 4 9 8 0 0 9 9 8 9 4 0 9 6 0 4 1 0 7 7 7 7 0 1 4 0 6 9 0 4 9 8 8 9 4 0 9 6 0 4 1 0 7 7 7 7 0 1 4 0 6 9 0 4 9 8 9 9 0 0 8 9 4 1 1 1 1 7 7 1 1 1 1 4 9 8 0 0 9 9 4 9 4 9 0 0 6 0 0 1 1 0 0 1 1 0 0 6 0 0 9 4 9 4 6 6 8 4 0 4 1 7 1 0 1 1 1 1 3 3 3 3 3 0 4 8 6 6 6 4 6 9 9 9 7 4 7 0 1 4 4 1 3 3 3 3 3 9 9 6 4 6 0 6 6 4 9 8 4 7 1 6 4 0 0 4 3 3 3 3 3 9 4 6 6 0 7 0 7 1 6 6 8 9 4 0 9 6 6 9 3 3 3 3 3 6 1 7 0 7 5 0 6 0 7 6 9 9 0 0 8 9 9 8 3 3 3 3 3 7 0 6 0 5 5 5 6 7 0 1 4 9 4 9 0 0 0 0 3 3 3 3 3 0 7 6 5 5 7 7 6 6 6 7 6 6 8 4 0 4 4 0 3 3 3 3 3 6 6 6 7 7 6 0 7 5 0 0 6 4 6 9 9 9 9 9 3 3 3 3 3 0 5 7 0 6 6 6 7 5 5 7 0 6 6 4 9 8 8 9 4 6 6 0 7 5 5 7 6 6 Output: 0 1 7 1 4 0 7 4 7 9 6 1 7 4 8 0 4 9 8 6 0 0 9 9 6 9 4 9 4 1 4 8 6 6 7 9 6 4 6 0 Example 3: Input: 0 2 9 2 9 9 0 0 0 7 0 9 9 0 7 0 0 0 9 9 2 9 2 0 2 5 7 2 7 5 0 5 7 9 0 5 5 0 9 7 5 0 5 7 2 7 5 2 9 7 5 2 3 3 3 3 3 3 3 3 0 7 0 4 7 0 0 2 2 5 7 9 2 2 2 2 3 3 3 3 3 3 3 3 9 4 0 0 9 7 7 2 2 2 2 2 9 7 2 2 3 3 3 3 3 3 3 3 9 5 4 7 0 0 0 5 2 2 7 9 9 5 0 7 0 9 9 5 0 9 9 7 7 9 9 0 5 9 9 0 7 0 5 9 0 0 0 7 0 9 0 0 6 0 1 1 1 1 0 6 0 0 9 0 7 0 0 0 0 5 7 9 0 5 0 4 1 8 6 0 0 6 8 1 4 0 5 0 9 7 5 0 0 7 4 0 7 0 6 1 8 1 0 4 4 0 1 8 1 6 0 7 0 4 7 0 7 9 0 0 4 9 0 8 1 4 0 1 1 0 4 1 8 0 9 4 0 0 9 7 0 0 7 4 5 9 1 6 0 0 0 0 0 0 0 0 6 1 9 5 4 7 0 0 9 5 0 9 9 7 1 0 4 1 0 8 8 0 1 4 0 1 7 9 9 0 5 9 9 5 0 9 9 7 1 0 4 1 0 8 8 0 1 4 0 1 7 9 9 0 5 9 0 0 7 4 5 9 1 6 0 0 0 0 0 0 0 0 6 1 9 5 4 7 0 0 7 9 0 0 4 9 0 8 1 4 0 1 1 0 4 1 8 0 9 4 0 0 9 7 0 7 4 0 7 0 6 1 8 1 0 4 4 0 1 8 1 6 0 7 0 4 7 0 0 5 7 9 0 5 0 4 1 8 6 0 0 6 8 1 4 0 5 0 9 7 5 0 0 0 0 7 0 9 0 0 6 0 1 1 1 1 0 6 0 0 9 0 7 0 0 0 9 5 0 7 0 9 9 5 0 9 9 7 7 9 9 0 5 9 9 0 7 0 5 9 9 7 2 2 5 0 0 0 7 4 5 9 9 5 4 7 0 0 0 5 2 2 7 9 2 2 2 2 2 7 7 9 0 0 4 9 9 4 0 0 9 7 7 2 2 2 2 2 9 7 5 2 2 0 0 7 4 0 7 0 0 7 0 4 7 0 0 2 2 5 7 9 2 5 7 2 7 5 0 5 7 9 0 5 5 0 9 7 5 0 5 7 2 7 5 2 0 2 9 2 9 9 0 0 0 7 0 9 9 0 7 0 0 0 9 9 2 9 2 0 Output: 2 0 0 7 4 0 7 0 2 7 7 9 0 0 4 9 5 0 0 0 7 4 5 9 Example 4: Input: 1 9 7 7 8 1 8 7 2 8 8 8 8 8 8 2 7 8 1 8 7 7 9 1 9 8 1 8 7 7 7 7 8 2 0 7 7 0 2 8 7 7 7 7 8 1 8 9 7 1 7 8 1 1 2 8 2 9 7 2 2 7 9 2 8 2 1 1 8 7 1 7 7 8 8 7 9 7 8 2 9 7 0 7 7 0 7 9 2 8 7 9 7 8 8 7 8 7 1 9 9 9 8 0 7 0 9 3 3 3 0 7 0 8 9 9 9 1 7 8 1 7 1 7 9 8 8 7 2 7 7 3 3 3 7 2 7 8 8 9 7 1 7 1 8 7 2 8 8 8 6 1 7 4 6 3 3 3 4 7 1 6 8 8 8 2 7 8 7 7 8 2 0 7 1 1 0 7 4 3 3 3 7 0 1 1 7 0 2 8 7 7 2 8 2 9 7 2 7 0 0 4 1 1 1 1 4 0 0 7 2 7 9 2 8 2 8 2 9 7 0 7 4 7 4 6 6 6 6 6 6 4 7 4 7 0 7 9 2 8 8 0 7 0 9 7 6 4 1 6 7 7 7 7 6 1 4 6 7 9 0 7 0 8 8 7 2 7 7 2 7 1 1 6 7 1 1 7 6 1 1 7 2 7 7 2 7 8 8 7 2 7 7 2 7 1 1 6 7 1 1 7 6 1 1 7 2 7 7 2 7 8 8 0 7 0 9 7 6 4 1 6 7 7 7 7 6 1 4 6 7 9 0 7 0 8 8 2 9 7 0 7 4 7 4 6 6 6 6 6 6 4 7 4 7 0 7 9 2 8 2 8 2 9 7 2 7 0 0 4 1 1 1 1 4 0 0 7 2 7 9 2 8 2 7 7 8 2 0 7 1 1 0 7 4 1 1 4 7 0 1 1 7 0 2 8 7 7 8 7 2 8 8 8 6 1 7 4 6 7 7 6 4 7 1 6 8 8 8 2 7 8 1 7 1 7 9 8 8 7 2 7 7 2 2 7 7 2 7 8 8 9 7 1 7 1 8 7 1 9 9 9 8 0 7 0 9 7 7 9 0 7 0 8 9 9 9 1 7 8 7 8 8 7 9 7 8 2 9 7 0 7 7 0 7 9 2 8 7 9 7 8 8 7 7 1 7 8 1 1 2 8 2 9 7 2 2 7 9 2 8 2 1 1 8 7 1 7 9 8 1 8 7 7 7 7 8 2 0 7 7 0 2 8 7 7 7 7 8 1 8 9 1 9 7 7 8 1 8 7 2 8 8 8 8 8 8 2 7 8 1 8 7 7 9 1 Output: 7 7 9 2 2 7 7 7 6 1 1 4 Example 5: Input: 1 1 9 8 6 1 8 0 2 2 0 5 5 0 2 2 0 8 1 6 8 9 1 1 1 8 8 9 8 1 0 2 0 6 2 8 8 2 6 0 2 0 1 8 9 8 8 1 9 8 6 1 1 4 2 0 6 5 6 2 2 6 5 6 0 2 4 1 1 6 8 9 8 9 1 8 9 1 2 6 5 2 6 2 2 6 2 5 6 2 1 9 8 1 9 8 6 8 1 9 6 9 0 2 6 6 0 6 6 0 6 6 2 0 9 6 9 1 8 6 1 1 4 1 9 4 5 8 2 2 6 2 2 6 2 2 8 5 4 9 1 4 1 1 8 0 2 2 0 5 5 9 9 9 9 4 4 9 9 9 9 3 3 3 3 3 3 3 0 2 0 6 2 8 9 5 7 9 4 1 1 4 9 7 5 3 3 3 3 3 3 3 2 0 6 5 6 2 9 7 1 7 5 9 9 5 7 1 7 3 3 3 3 3 3 3 2 6 5 2 6 2 9 9 7 4 1 9 9 1 4 7 9 3 3 3 3 3 3 3 0 2 6 6 0 6 9 4 5 1 5 9 9 5 1 5 4 3 3 3 3 3 3 3 5 8 2 2 6 2 4 1 9 9 9 9 9 9 9 9 1 3 3 3 3 3 3 3 5 8 2 2 6 2 4 1 9 9 9 9 9 9 9 9 1 4 2 6 2 2 8 5 0 2 6 6 0 6 9 4 5 1 5 9 9 5 1 5 4 9 6 0 6 6 2 0 2 6 5 2 6 2 9 9 7 4 1 9 9 1 4 7 9 9 2 6 2 5 6 2 2 0 6 5 6 2 9 7 1 7 5 9 9 5 7 1 7 9 2 6 5 6 0 2 0 2 0 6 2 8 9 5 7 9 4 1 1 4 9 7 5 9 8 2 6 0 2 0 8 0 2 2 0 5 5 9 9 9 9 4 4 9 9 9 9 5 5 0 2 2 0 8 1 1 4 1 9 4 5 8 2 2 6 2 2 6 2 2 8 5 4 9 1 4 1 1 6 8 1 9 6 9 0 2 6 6 0 6 6 0 6 6 2 0 9 6 9 1 8 6 8 9 1 8 9 1 2 6 5 2 6 2 2 6 2 5 6 2 1 9 8 1 9 8 9 8 6 1 1 4 2 0 6 5 6 2 2 6 5 6 0 2 4 1 1 6 8 9 1 8 8 9 8 1 0 2 0 6 2 8 8 2 6 0 2 0 1 8 9 8 8 1 1 1 9 8 6 1 8 0 2 2 0 5 5 0 2 2 0 8 1 6 8 9 1 1 Output: 5 5 0 2 2 0 8 9 8 2 6 0 2 0 9 2 6 5 6 0 2 9 2 6 2 5 6 2 9 6 0 6 6 2 0 4 2 6 2 2 8 5 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 6 2 7 8 2 6 0 9 8 0 9 8 8 9 0 8 9 0 6 2 8 7 2 6 2 7 8 6 7 5 9 1 9 9 8 4 4 8 9 9 1 9 5 7 6 8 7 2 7 8 5 8 2 5 8 9 8 8 8 0 0 8 8 8 9 8 5 2 8 5 8 7 8 6 8 5 8 6 0 9 8 1 0 1 1 0 1 8 9 0 6 8 5 8 6 8 2 7 2 8 2 6 9 8 8 0 8 8 8 8 0 8 8 9 6 2 8 2 7 2 6 5 5 6 6 8 8 4 0 1 8 1 1 8 1 0 4 8 8 6 6 5 5 6 0 9 8 0 9 8 7 7 7 6 0 7 7 0 6 7 7 7 8 9 0 8 9 0 9 1 9 9 8 4 7 7 7 2 2 2 2 2 2 7 7 7 4 8 9 9 1 9 8 9 8 8 8 0 7 7 0 6 7 7 7 7 6 0 7 7 0 8 8 8 9 8 0 9 8 1 0 1 6 3 3 3 0 6 6 0 9 6 2 6 1 0 1 8 9 0 9 8 8 0 8 8 0 3 3 3 0 0 0 0 0 7 2 0 8 8 0 8 8 9 8 4 0 1 8 1 7 3 3 3 0 9 9 0 6 7 2 7 1 8 1 0 4 8 8 4 0 1 8 1 7 2 7 6 0 9 9 0 6 7 2 7 1 8 1 0 4 8 9 8 8 0 8 8 0 2 7 0 0 0 0 0 0 7 2 0 8 8 0 8 8 9 0 9 8 1 0 1 6 2 6 9 0 6 6 0 9 6 2 6 1 0 1 8 9 0 8 9 8 8 8 0 7 7 0 6 7 7 7 7 6 0 7 7 0 8 8 8 9 8 9 1 9 9 8 4 7 7 7 2 2 2 2 2 2 7 7 7 4 8 9 9 1 9 0 9 8 0 9 8 7 7 7 6 0 7 7 0 6 7 7 7 8 9 0 8 9 0 6 5 5 6 6 8 8 4 0 1 8 1 1 8 1 0 4 8 8 6 6 5 5 6 2 7 2 8 2 6 9 8 8 0 8 8 8 8 0 8 8 9 6 2 8 2 7 2 8 6 8 5 8 6 0 9 8 1 0 1 1 0 1 8 9 0 6 8 5 8 6 8 7 8 5 8 2 5 8 9 8 8 8 0 0 8 8 8 9 8 5 2 8 5 8 7 2 7 8 6 7 5 9 1 9 9 8 4 4 8 9 9 1 9 5 7 6 8 7 2 6 2 7 8 2 6 0 9 8 0 9 8 8 9 0 8 9 0 6 2 8 7 2 6
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "2 6 9\n2 7 0\n2 7 6", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n9 6 6 5 6 0 5 0 6 4 4 5 5 4 4 6 0 5 0 6 5 6 6 9\n6 6 0 2 0 5 0 4 4 5 4 4 4 4 5 4 4 0 5 0 2 0 6 6\n6 0 0 2 0 2 6 4 5 9 6 5 5 6 9 5 4 6 2 0 2 0 0 6\n5 2 2 2 6 6 4 5 9 4 6 4 4 6 4 9 5 4 6 6 2 2 2 5\n6 0 0 6 5 9 4 4 6 6 9 0 0 9 6 6 4 4 9 5 6 0 0 6\n0 5 2 6 9 9 5 4 5 4 0 0 0 0 4 5 4 5 9 9 6 2 5 0\n5 0 6 4 4 5 9 6 6 9 9 6 6 9 9 6 6 9 5 4 4 6 0 5\n0 4 4 5 4 4 6 4 4 9 4 4 4 4 9 4 4 6 4 4 5 4 4 0\n6 4 5 9 6 5 6 4 6 5 9 9 9 9 5 6 4 6 5 6 9 5 4 6\n4 5 9 4 6 4 9 9 5 1 1 6 6 1 1 5 9 9 4 6 4 9 5 4\n4 4 6 6 9 0 9 4 9 1 4 1 1 4 1 9 4 9 0 9 6 6 4 4\n5 4 5 4 0 0 6 4 9 6 1 5 5 1 6 9 4 6 0 0 4 5 4 5\n5 4 5 4 0 0 6 4 9 6 1 5 5 1 6 9 4 6 0 0 4 5 4 5\n4 4 6 6 9 0 9 4 9 1 4 1 1 4 1 9 4 9 0 9 6 6 4 4\n4 5 9 4 6 4 9 9 5 1 1 6 6 1 1 5 9 9 4 6 4 9 5 4\n6 3 3 3 3 3 3 4 6 5 9 9 9 9 5 6 4 6 5 6 9 5 4 6\n0 3 3 3 3 3 3 4 4 9 4 4 4 4 9 4 4 6 4 4 5 4 4 0\n5 3 3 3 3 3 3 6 6 9 9 6 6 9 9 6 6 9 5 4 4 6 0 5\n0 3 3 3 3 3 3 4 5 4 0 0 0 0 4 5 4 5 9 9 6 2 5 0\n6 3 3 3 3 3 3 4 6 6 9 0 0 9 6 6 4 4 9 5 6 0 0 6\n5 2 2 2 6 6 4 5 9 4 6 4 4 6 4 9 5 4 6 6 2 2 2 5\n6 0 0 2 0 2 6 4 5 9 6 5 5 6 9 5 4 6 2 0 2 0 0 6\n6 6 0 2 0 5 0 4 4 5 4 4 4 4 5 4 4 0 5 0 2 0 6 6\n9 6 6 5 6 0 5 0 6 4 4 5 5 4 4 6 0 5 0 6 5 6 6 9\nOutput:\n4 5 9 6 5 6\n4 4 5 4 4 6\n0 6 4 4 5 9\n5 2 6 9 9 5\n0 0 6 5 9 4\n\nExample 2:\n\nInput:\n6 6 7 5 5 7 0 6 6 4 9 8 8 9 4 6 6 0 7 5 5 7 6 6\n6 0 7 5 0 0 6 4 6 9 9 9 9 9 9 6 4 6 0 0 5 7 0 6\n7 7 6 6 6 7 6 6 8 4 0 4 4 0 4 8 6 6 7 6 6 6 7 7\n5 5 6 7 0 1 4 9 4 9 0 0 0 0 9 4 9 4 1 0 7 6 5 5\n5 0 6 0 7 6 9 9 0 0 8 9 9 8 0 0 9 9 6 7 0 6 0 5\n7 0 7 1 6 6 8 9 4 0 9 6 6 9 0 4 9 8 6 6 1 7 0 7\n0 6 6 4 9 8 4 7 1 6 4 0 0 4 6 1 7 4 8 9 4 6 6 0\n6 4 6 9 9 9 7 4 7 0 1 4 4 1 0 7 4 7 9 9 9 6 4 6\n6 6 8 4 0 4 1 7 1 0 1 1 1 1 0 1 7 1 4 0 4 8 6 6\n4 9 4 9 0 0 6 0 0 1 1 0 0 1 1 0 0 6 0 0 9 4 9 4\n9 9 0 0 8 9 4 1 1 1 1 7 7 1 1 1 1 4 9 8 0 0 9 9\n8 9 4 0 9 6 0 4 1 0 7 7 7 7 0 1 4 0 6 9 0 4 9 8\n8 9 4 0 9 6 0 4 1 0 7 7 7 7 0 1 4 0 6 9 0 4 9 8\n9 9 0 0 8 9 4 1 1 1 1 7 7 1 1 1 1 4 9 8 0 0 9 9\n4 9 4 9 0 0 6 0 0 1 1 0 0 1 1 0 0 6 0 0 9 4 9 4\n6 6 8 4 0 4 1 7 1 0 1 1 1 1 3 3 3 3 3 0 4 8 6 6\n6 4 6 9 9 9 7 4 7 0 1 4 4 1 3 3 3 3 3 9 9 6 4 6\n0 6 6 4 9 8 4 7 1 6 4 0 0 4 3 3 3 3 3 9 4 6 6 0\n7 0 7 1 6 6 8 9 4 0 9 6 6 9 3 3 3 3 3 6 1 7 0 7\n5 0 6 0 7 6 9 9 0 0 8 9 9 8 3 3 3 3 3 7 0 6 0 5\n5 5 6 7 0 1 4 9 4 9 0 0 0 0 3 3 3 3 3 0 7 6 5 5\n7 7 6 6 6 7 6 6 8 4 0 4 4 0 3 3 3 3 3 6 6 6 7 7\n6 0 7 5 0 0 6 4 6 9 9 9 9 9 3 3 3 3 3 0 5 7 0 6\n6 6 7 5 5 7 0 6 6 4 9 8 8 9 4 6 6 0 7 5 5 7 6 6\nOutput:\n0 1 7 1 4\n0 7 4 7 9\n6 1 7 4 8\n0 4 9 8 6\n0 0 9 9 6\n9 4 9 4 1\n4 8 6 6 7\n9 6 4 6 0\n\nExample 3:\n\nInput:\n0 2 9 2 9 9 0 0 0 7 0 9 9 0 7 0 0 0 9 9 2 9 2 0\n2 5 7 2 7 5 0 5 7 9 0 5 5 0 9 7 5 0 5 7 2 7 5 2\n9 7 5 2 3 3 3 3 3 3 3 3 0 7 0 4 7 0 0 2 2 5 7 9\n2 2 2 2 3 3 3 3 3 3 3 3 9 4 0 0 9 7 7 2 2 2 2 2\n9 7 2 2 3 3 3 3 3 3 3 3 9 5 4 7 0 0 0 5 2 2 7 9\n9 5 0 7 0 9 9 5 0 9 9 7 7 9 9 0 5 9 9 0 7 0 5 9\n0 0 0 7 0 9 0 0 6 0 1 1 1 1 0 6 0 0 9 0 7 0 0 0\n0 5 7 9 0 5 0 4 1 8 6 0 0 6 8 1 4 0 5 0 9 7 5 0\n0 7 4 0 7 0 6 1 8 1 0 4 4 0 1 8 1 6 0 7 0 4 7 0\n7 9 0 0 4 9 0 8 1 4 0 1 1 0 4 1 8 0 9 4 0 0 9 7\n0 0 7 4 5 9 1 6 0 0 0 0 0 0 0 0 6 1 9 5 4 7 0 0\n9 5 0 9 9 7 1 0 4 1 0 8 8 0 1 4 0 1 7 9 9 0 5 9\n9 5 0 9 9 7 1 0 4 1 0 8 8 0 1 4 0 1 7 9 9 0 5 9\n0 0 7 4 5 9 1 6 0 0 0 0 0 0 0 0 6 1 9 5 4 7 0 0\n7 9 0 0 4 9 0 8 1 4 0 1 1 0 4 1 8 0 9 4 0 0 9 7\n0 7 4 0 7 0 6 1 8 1 0 4 4 0 1 8 1 6 0 7 0 4 7 0\n0 5 7 9 0 5 0 4 1 8 6 0 0 6 8 1 4 0 5 0 9 7 5 0\n0 0 0 7 0 9 0 0 6 0 1 1 1 1 0 6 0 0 9 0 7 0 0 0\n9 5 0 7 0 9 9 5 0 9 9 7 7 9 9 0 5 9 9 0 7 0 5 9\n9 7 2 2 5 0 0 0 7 4 5 9 9 5 4 7 0 0 0 5 2 2 7 9\n2 2 2 2 2 7 7 9 0 0 4 9 9 4 0 0 9 7 7 2 2 2 2 2\n9 7 5 2 2 0 0 7 4 0 7 0 0 7 0 4 7 0 0 2 2 5 7 9\n2 5 7 2 7 5 0 5 7 9 0 5 5 0 9 7 5 0 5 7 2 7 5 2\n0 2 9 2 9 9 0 0 0 7 0 9 9 0 7 0 0 0 9 9 2 9 2 0\nOutput:\n2 0 0 7 4 0 7 0\n2 7 7 9 0 0 4 9\n5 0 0 0 7 4 5 9\n\nExample 4:\n\nInput:\n1 9 7 7 8 1 8 7 2 8 8 8 8 8 8 2 7 8 1 8 7 7 9 1\n9 8 1 8 7 7 7 7 8 2 0 7 7 0 2 8 7 7 7 7 8 1 8 9\n7 1 7 8 1 1 2 8 2 9 7 2 2 7 9 2 8 2 1 1 8 7 1 7\n7 8 8 7 9 7 8 2 9 7 0 7 7 0 7 9 2 8 7 9 7 8 8 7\n8 7 1 9 9 9 8 0 7 0 9 3 3 3 0 7 0 8 9 9 9 1 7 8\n1 7 1 7 9 8 8 7 2 7 7 3 3 3 7 2 7 8 8 9 7 1 7 1\n8 7 2 8 8 8 6 1 7 4 6 3 3 3 4 7 1 6 8 8 8 2 7 8\n7 7 8 2 0 7 1 1 0 7 4 3 3 3 7 0 1 1 7 0 2 8 7 7\n2 8 2 9 7 2 7 0 0 4 1 1 1 1 4 0 0 7 2 7 9 2 8 2\n8 2 9 7 0 7 4 7 4 6 6 6 6 6 6 4 7 4 7 0 7 9 2 8\n8 0 7 0 9 7 6 4 1 6 7 7 7 7 6 1 4 6 7 9 0 7 0 8\n8 7 2 7 7 2 7 1 1 6 7 1 1 7 6 1 1 7 2 7 7 2 7 8\n8 7 2 7 7 2 7 1 1 6 7 1 1 7 6 1 1 7 2 7 7 2 7 8\n8 0 7 0 9 7 6 4 1 6 7 7 7 7 6 1 4 6 7 9 0 7 0 8\n8 2 9 7 0 7 4 7 4 6 6 6 6 6 6 4 7 4 7 0 7 9 2 8\n2 8 2 9 7 2 7 0 0 4 1 1 1 1 4 0 0 7 2 7 9 2 8 2\n7 7 8 2 0 7 1 1 0 7 4 1 1 4 7 0 1 1 7 0 2 8 7 7\n8 7 2 8 8 8 6 1 7 4 6 7 7 6 4 7 1 6 8 8 8 2 7 8\n1 7 1 7 9 8 8 7 2 7 7 2 2 7 7 2 7 8 8 9 7 1 7 1\n8 7 1 9 9 9 8 0 7 0 9 7 7 9 0 7 0 8 9 9 9 1 7 8\n7 8 8 7 9 7 8 2 9 7 0 7 7 0 7 9 2 8 7 9 7 8 8 7\n7 1 7 8 1 1 2 8 2 9 7 2 2 7 9 2 8 2 1 1 8 7 1 7\n9 8 1 8 7 7 7 7 8 2 0 7 7 0 2 8 7 7 7 7 8 1 8 9\n1 9 7 7 8 1 8 7 2 8 8 8 8 8 8 2 7 8 1 8 7 7 9 1\nOutput:\n7 7 9\n2 2 7\n7 7 6\n1 1 4\n\nExample 5:\n\nInput:\n1 1 9 8 6 1 8 0 2 2 0 5 5 0 2 2 0 8 1 6 8 9 1 1\n1 8 8 9 8 1 0 2 0 6 2 8 8 2 6 0 2 0 1 8 9 8 8 1\n9 8 6 1 1 4 2 0 6 5 6 2 2 6 5 6 0 2 4 1 1 6 8 9\n8 9 1 8 9 1 2 6 5 2 6 2 2 6 2 5 6 2 1 9 8 1 9 8\n6 8 1 9 6 9 0 2 6 6 0 6 6 0 6 6 2 0 9 6 9 1 8 6\n1 1 4 1 9 4 5 8 2 2 6 2 2 6 2 2 8 5 4 9 1 4 1 1\n8 0 2 2 0 5 5 9 9 9 9 4 4 9 9 9 9 3 3 3 3 3 3 3\n0 2 0 6 2 8 9 5 7 9 4 1 1 4 9 7 5 3 3 3 3 3 3 3\n2 0 6 5 6 2 9 7 1 7 5 9 9 5 7 1 7 3 3 3 3 3 3 3\n2 6 5 2 6 2 9 9 7 4 1 9 9 1 4 7 9 3 3 3 3 3 3 3\n0 2 6 6 0 6 9 4 5 1 5 9 9 5 1 5 4 3 3 3 3 3 3 3\n5 8 2 2 6 2 4 1 9 9 9 9 9 9 9 9 1 3 3 3 3 3 3 3\n5 8 2 2 6 2 4 1 9 9 9 9 9 9 9 9 1 4 2 6 2 2 8 5\n0 2 6 6 0 6 9 4 5 1 5 9 9 5 1 5 4 9 6 0 6 6 2 0\n2 6 5 2 6 2 9 9 7 4 1 9 9 1 4 7 9 9 2 6 2 5 6 2\n2 0 6 5 6 2 9 7 1 7 5 9 9 5 7 1 7 9 2 6 5 6 0 2\n0 2 0 6 2 8 9 5 7 9 4 1 1 4 9 7 5 9 8 2 6 0 2 0\n8 0 2 2 0 5 5 9 9 9 9 4 4 9 9 9 9 5 5 0 2 2 0 8\n1 1 4 1 9 4 5 8 2 2 6 2 2 6 2 2 8 5 4 9 1 4 1 1\n6 8 1 9 6 9 0 2 6 6 0 6 6 0 6 6 2 0 9 6 9 1 8 6\n8 9 1 8 9 1 2 6 5 2 6 2 2 6 2 5 6 2 1 9 8 1 9 8\n9 8 6 1 1 4 2 0 6 5 6 2 2 6 5 6 0 2 4 1 1 6 8 9\n1 8 8 9 8 1 0 2 0 6 2 8 8 2 6 0 2 0 1 8 9 8 8 1\n1 1 9 8 6 1 8 0 2 2 0 5 5 0 2 2 0 8 1 6 8 9 1 1\nOutput:\n5 5 0 2 2 0 8\n9 8 2 6 0 2 0\n9 2 6 5 6 0 2\n9 2 6 2 5 6 2\n9 6 0 6 6 2 0\n4 2 6 2 2 8 5\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n6 2 7 8 2 6 0 9 8 0 9 8 8 9 0 8 9 0 6 2 8 7 2 6\n2 7 8 6 7 5 9 1 9 9 8 4 4 8 9 9 1 9 5 7 6 8 7 2\n7 8 5 8 2 5 8 9 8 8 8 0 0 8 8 8 9 8 5 2 8 5 8 7\n8 6 8 5 8 6 0 9 8 1 0 1 1 0 1 8 9 0 6 8 5 8 6 8\n2 7 2 8 2 6 9 8 8 0 8 8 8 8 0 8 8 9 6 2 8 2 7 2\n6 5 5 6 6 8 8 4 0 1 8 1 1 8 1 0 4 8 8 6 6 5 5 6\n0 9 8 0 9 8 7 7 7 6 0 7 7 0 6 7 7 7 8 9 0 8 9 0\n9 1 9 9 8 4 7 7 7 2 2 2 2 2 2 7 7 7 4 8 9 9 1 9\n8 9 8 8 8 0 7 7 0 6 7 7 7 7 6 0 7 7 0 8 8 8 9 8\n0 9 8 1 0 1 6 3 3 3 0 6 6 0 9 6 2 6 1 0 1 8 9 0\n9 8 8 0 8 8 0 3 3 3 0 0 0 0 0 7 2 0 8 8 0 8 8 9\n8 4 0 1 8 1 7 3 3 3 0 9 9 0 6 7 2 7 1 8 1 0 4 8\n8 4 0 1 8 1 7 2 7 6 0 9 9 0 6 7 2 7 1 8 1 0 4 8\n9 8 8 0 8 8 0 2 7 0 0 0 0 0 0 7 2 0 8 8 0 8 8 9\n0 9 8 1 0 1 6 2 6 9 0 6 6 0 9 6 2 6 1 0 1 8 9 0\n8 9 8 8 8 0 7 7 0 6 7 7 7 7 6 0 7 7 0 8 8 8 9 8\n9 1 9 9 8 4 7 7 7 2 2 2 2 2 2 7 7 7 4 8 9 9 1 9\n0 9 8 0 9 8 7 7 7 6 0 7 7 0 6 7 7 7 8 9 0 8 9 0\n6 5 5 6 6 8 8 4 0 1 8 1 1 8 1 0 4 8 8 6 6 5 5 6\n2 7 2 8 2 6 9 8 8 0 8 8 8 8 0 8 8 9 6 2 8 2 7 2\n8 6 8 5 8 6 0 9 8 1 0 1 1 0 1 8 9 0 6 8 5 8 6 8\n7 8 5 8 2 5 8 9 8 8 8 0 0 8 8 8 9 8 5 2 8 5 8 7\n2 7 8 6 7 5 9 1 9 9 8 4 4 8 9 9 1 9 5 7 6 8 7 2\n6 2 7 8 2 6 0 9 8 0 9 8 8 9 0 8 9 0 6 2 8 7 2 6\n", "answer": "2 6 9\n2 7 0\n2 7 6", "metadata": {"source_dataset": "arc_agi", "source_index": 249, "input": [[6, 2, 7, 8, 2, 6, 0, 9, 8, 0, 9, 8, 8, 9, 0, 8, 9, 0, 6, 2, 8, 7, 2, 6], [2, 7, 8, 6, 7, 5, 9, 1, 9, 9, 8, 4, 4, 8, 9, 9, 1, 9, 5, 7, 6, 8, 7, 2], [7, 8, 5, 8, 2, 5, 8, 9, 8, 8, 8, 0, 0, 8, 8, 8, 9, 8, 5, 2, 8, 5, 8, 7], [8, 6, 8, 5, 8, 6, 0, 9, 8, 1, 0, 1, 1, 0, 1, 8, 9, 0, 6, 8, 5, 8, 6, 8], [2, 7, 2, 8, 2, 6, 9, 8, 8, 0, 8, 8, 8, 8, 0, 8, 8, 9, 6, 2, 8, 2, 7, 2], [6, 5, 5, 6, 6, 8, 8, 4, 0, 1, 8, 1, 1, 8, 1, 0, 4, 8, 8, 6, 6, 5, 5, 6], [0, 9, 8, 0, 9, 8, 7, 7, 7, 6, 0, 7, 7, 0, 6, 7, 7, 7, 8, 9, 0, 8, 9, 0], [9, 1, 9, 9, 8, 4, 7, 7, 7, 2, 2, 2, 2, 2, 2, 7, 7, 7, 4, 8, 9, 9, 1, 9], [8, 9, 8, 8, 8, 0, 7, 7, 0, 6, 7, 7, 7, 7, 6, 0, 7, 7, 0, 8, 8, 8, 9, 8], [0, 9, 8, 1, 0, 1, 6, 3, 3, 3, 0, 6, 6, 0, 9, 6, 2, 6, 1, 0, 1, 8, 9, 0], [9, 8, 8, 0, 8, 8, 0, 3, 3, 3, 0, 0, 0, 0, 0, 7, 2, 0, 8, 8, 0, 8, 8, 9], [8, 4, 0, 1, 8, 1, 7, 3, 3, 3, 0, 9, 9, 0, 6, 7, 2, 7, 1, 8, 1, 0, 4, 8], [8, 4, 0, 1, 8, 1, 7, 2, 7, 6, 0, 9, 9, 0, 6, 7, 2, 7, 1, 8, 1, 0, 4, 8], [9, 8, 8, 0, 8, 8, 0, 2, 7, 0, 0, 0, 0, 0, 0, 7, 2, 0, 8, 8, 0, 8, 8, 9], [0, 9, 8, 1, 0, 1, 6, 2, 6, 9, 0, 6, 6, 0, 9, 6, 2, 6, 1, 0, 1, 8, 9, 0], [8, 9, 8, 8, 8, 0, 7, 7, 0, 6, 7, 7, 7, 7, 6, 0, 7, 7, 0, 8, 8, 8, 9, 8], [9, 1, 9, 9, 8, 4, 7, 7, 7, 2, 2, 2, 2, 2, 2, 7, 7, 7, 4, 8, 9, 9, 1, 9], [0, 9, 8, 0, 9, 8, 7, 7, 7, 6, 0, 7, 7, 0, 6, 7, 7, 7, 8, 9, 0, 8, 9, 0], [6, 5, 5, 6, 6, 8, 8, 4, 0, 1, 8, 1, 1, 8, 1, 0, 4, 8, 8, 6, 6, 5, 5, 6], [2, 7, 2, 8, 2, 6, 9, 8, 8, 0, 8, 8, 8, 8, 0, 8, 8, 9, 6, 2, 8, 2, 7, 2], [8, 6, 8, 5, 8, 6, 0, 9, 8, 1, 0, 1, 1, 0, 1, 8, 9, 0, 6, 8, 5, 8, 6, 8], [7, 8, 5, 8, 2, 5, 8, 9, 8, 8, 8, 0, 0, 8, 8, 8, 9, 8, 5, 2, 8, 5, 8, 7], [2, 7, 8, 6, 7, 5, 9, 1, 9, 9, 8, 4, 4, 8, 9, 9, 1, 9, 5, 7, 6, 8, 7, 2], [6, 2, 7, 8, 2, 6, 0, 9, 8, 0, 9, 8, 8, 9, 0, 8, 9, 0, 6, 2, 8, 7, 2, 6]], "output": [[2, 6, 9], [2, 7, 0], [2, 7, 6]], "task_id": "e66aafb8", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 249, "input": [[6, 2, 7, 8, 2, 6, 0, 9, 8, 0, 9, 8, 8, 9, 0, 8, 9, 0, 6, 2, 8, 7, 2, 6], [2, 7, 8, 6, 7, 5, 9, 1, 9, 9, 8, 4, 4, 8, 9, 9, 1, 9, 5, 7, 6, 8, 7, 2], [7, 8, 5, 8, 2, 5, 8, 9, 8, 8, 8, 0, 0, 8, 8, 8, 9, 8, 5, 2, 8, 5, 8, 7], [8, 6, 8, 5, 8, 6, 0, 9, 8, 1, 0, 1, 1, 0, 1, 8, 9, 0, 6, 8, 5, 8, 6, 8], [2, 7, 2, 8, 2, 6, 9, 8, 8, 0, 8, 8, 8, 8, 0, 8, 8, 9, 6, 2, 8, 2, 7, 2], [6, 5, 5, 6, 6, 8, 8, 4, 0, 1, 8, 1, 1, 8, 1, 0, 4, 8, 8, 6, 6, 5, 5, 6], [0, 9, 8, 0, 9, 8, 7, 7, 7, 6, 0, 7, 7, 0, 6, 7, 7, 7, 8, 9, 0, 8, 9, 0], [9, 1, 9, 9, 8, 4, 7, 7, 7, 2, 2, 2, 2, 2, 2, 7, 7, 7, 4, 8, 9, 9, 1, 9], [8, 9, 8, 8, 8, 0, 7, 7, 0, 6, 7, 7, 7, 7, 6, 0, 7, 7, 0, 8, 8, 8, 9, 8], [0, 9, 8, 1, 0, 1, 6, 3, 3, 3, 0, 6, 6, 0, 9, 6, 2, 6, 1, 0, 1, 8, 9, 0], [9, 8, 8, 0, 8, 8, 0, 3, 3, 3, 0, 0, 0, 0, 0, 7, 2, 0, 8, 8, 0, 8, 8, 9], [8, 4, 0, 1, 8, 1, 7, 3, 3, 3, 0, 9, 9, 0, 6, 7, 2, 7, 1, 8, 1, 0, 4, 8], [8, 4, 0, 1, 8, 1, 7, 2, 7, 6, 0, 9, 9, 0, 6, 7, 2, 7, 1, 8, 1, 0, 4, 8], [9, 8, 8, 0, 8, 8, 0, 2, 7, 0, 0, 0, 0, 0, 0, 7, 2, 0, 8, 8, 0, 8, 8, 9], [0, 9, 8, 1, 0, 1, 6, 2, 6, 9, 0, 6, 6, 0, 9, 6, 2, 6, 1, 0, 1, 8, 9, 0], [8, 9, 8, 8, 8, 0, 7, 7, 0, 6, 7, 7, 7, 7, 6, 0, 7, 7, 0, 8, 8, 8, 9, 8], [9, 1, 9, 9, 8, 4, 7, 7, 7, 2, 2, 2, 2, 2, 2, 7, 7, 7, 4, 8, 9, 9, 1, 9], [0, 9, 8, 0, 9, 8, 7, 7, 7, 6, 0, 7, 7, 0, 6, 7, 7, 7, 8, 9, 0, 8, 9, 0], [6, 5, 5, 6, 6, 8, 8, 4, 0, 1, 8, 1, 1, 8, 1, 0, 4, 8, 8, 6, 6, 5, 5, 6], [2, 7, 2, 8, 2, 6, 9, 8, 8, 0, 8, 8, 8, 8, 0, 8, 8, 9, 6, 2, 8, 2, 7, 2], [8, 6, 8, 5, 8, 6, 0, 9, 8, 1, 0, 1, 1, 0, 1, 8, 9, 0, 6, 8, 5, 8, 6, 8], [7, 8, 5, 8, 2, 5, 8, 9, 8, 8, 8, 0, 0, 8, 8, 8, 9, 8, 5, 2, 8, 5, 8, 7], [2, 7, 8, 6, 7, 5, 9, 1, 9, 9, 8, 4, 4, 8, 9, 9, 1, 9, 5, 7, 6, 8, 7, 2], [6, 2, 7, 8, 2, 6, 0, 9, 8, 0, 9, 8, 8, 9, 0, 8, 9, 0, 6, 2, 8, 7, 2, 6]], "output": [[2, 6, 9], [2, 7, 0], [2, 7, 6]], "task_id": "e66aafb8", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null
General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 5 3 8 8 0 1 1 8 2 Output: 0 5 3 8 0 5 5 3 8 8 8 8 0 1 1 1 1 8 2 2 0 1 8 2 0 Example 2: Input: 8 3 1 2 Output: 0 8 3 0 8 8 3 3 1 1 2 2 0 1 2 0 Example 3: Input: 5 1 3 1 2 1 Output: 0 5 1 3 0 5 5 1 3 3 1 1 2 1 1 0 1 2 1 0 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 1 8 5 3 5 2
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "0 1 8 0\n1 1 8 8\n5 5 3 3\n5 5 2 2\n0 5 2 0", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n5 3 8\n8 0 1\n1 8 2\nOutput:\n0 5 3 8 0\n5 5 3 8 8\n8 8 0 1 1\n1 1 8 2 2\n0 1 8 2 0\n\nExample 2:\n\nInput:\n8 3\n1 2\nOutput:\n0 8 3 0\n8 8 3 3\n1 1 2 2\n0 1 2 0\n\nExample 3:\n\nInput:\n5 1 3\n1 2 1\nOutput:\n0 5 1 3 0\n5 5 1 3 3\n1 1 2 1 1\n0 1 2 1 0\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n1 8\n5 3\n5 2\n", "answer": "0 1 8 0\n1 1 8 8\n5 5 3 3\n5 5 2 2\n0 5 2 0", "metadata": {"source_dataset": "arc_agi", "source_index": 250, "input": [[1, 8], [5, 3], [5, 2]], "output": [[0, 1, 8, 0], [1, 1, 8, 8], [5, 5, 3, 3], [5, 5, 2, 2], [0, 5, 2, 0]], "task_id": "49d1d64f", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 250, "input": [[1, 8], [5, 3], [5, 2]], "output": [[0, 1, 8, 0], [1, 1, 8, 8], [5, 5, 3, 3], [5, 5, 2, 2], [0, 5, 2, 0]], "task_id": "49d1d64f", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null
General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 6 6 5 6 6 6 6 6 6 6 6 6 6 5 6 5 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 6 7 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 7 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 Output: 6 6 5 6 6 6 6 6 5 6 6 6 6 5 6 5 6 6 6 5 6 5 6 6 6 6 5 5 6 6 6 5 5 6 6 6 6 6 6 6 7 6 7 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 7 6 7 6 6 6 6 6 6 6 5 5 6 6 6 5 5 6 6 6 6 5 6 5 6 6 6 5 6 5 6 6 6 6 5 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 Example 2: Input: 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 3 6 3 6 6 6 6 6 6 6 6 6 6 6 6 3 6 6 6 6 6 6 6 6 6 6 6 6 3 6 3 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 Output: 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 7 6 6 6 6 6 6 7 7 7 6 6 6 7 7 7 6 6 6 6 6 6 7 7 7 6 7 7 7 6 6 6 6 6 6 6 6 6 3 6 3 6 6 6 6 6 6 6 6 6 6 6 6 3 6 6 6 6 6 6 6 6 6 6 6 6 3 6 3 6 6 6 6 6 6 6 6 6 7 7 7 6 7 7 7 6 6 6 6 6 6 7 7 7 6 6 6 7 7 7 6 6 6 6 6 6 7 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 Example 3: Input: 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 2 6 2 6 6 6 6 6 6 6 6 6 6 6 6 2 6 6 6 6 6 6 6 6 6 0 6 6 2 6 2 6 6 6 6 6 6 6 6 6 0 0 6 6 6 6 6 6 6 6 6 6 6 6 6 0 0 6 6 6 6 6 6 6 6 6 6 0 0 6 0 6 6 6 6 6 6 6 6 6 6 0 6 6 0 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 Output: 6 6 6 0 6 6 0 6 0 6 6 0 6 6 6 6 6 0 0 6 0 6 0 6 0 0 6 6 6 6 6 6 6 0 0 6 0 0 6 6 6 6 6 6 6 6 0 0 6 6 6 0 0 6 6 6 6 6 6 0 6 6 2 6 2 6 6 0 6 6 6 6 6 6 6 6 6 2 6 6 6 6 6 6 6 6 6 0 6 6 2 6 2 6 6 0 6 6 6 6 6 6 0 0 6 6 6 0 0 6 6 6 6 6 6 6 6 0 0 6 0 0 6 6 6 6 6 6 6 0 0 6 0 6 0 6 0 0 6 6 6 6 6 0 6 6 0 6 0 6 6 0 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 2 2 6 6 6 6 6 6 6 6 6 6 6 6 6 2 6 6 6 6 6 6 6 6 6 6 6 6 6 2 2 6 2 6 6 6 6 6 6 6 6 6 8 6 8 6 2 6 6 6 6 6 6 6 6 6 6 6 8 6 6 6 6 6 6 6 6 6 6 6 6 6 8 6 8 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 2 6 2 6 6 6 6 6 6 6\n6 6 6 6 6 2 6 2 6 6 6 6 6 6 6\n6 6 6 2 2 6 6 6 2 2 6 6 6 6 6\n6 6 6 6 2 6 6 6 2 6 6 6 6 6 6\n6 6 2 6 2 2 6 2 2 6 2 6 6 6 6\n6 6 6 2 6 8 6 8 6 2 6 6 6 6 6\n6 6 6 6 6 6 8 6 6 6 6 6 6 6 6\n6 6 6 2 6 8 6 8 6 2 6 6 6 6 6\n6 6 2 6 2 2 6 2 2 6 2 6 6 6 6\n6 6 6 6 2 6 6 6 2 6 6 6 6 6 6\n6 6 6 2 2 6 6 6 2 2 6 6 6 6 6\n6 6 6 6 6 2 6 2 6 6 6 6 6 6 6\n6 6 6 6 6 2 6 2 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n6 6 5 6 6 6 6 6 6 6 6 6\n6 5 6 5 6 6 6 6 6 6 6 6\n6 6 5 5 6 6 6 6 6 6 6 6\n6 6 6 6 7 6 7 6 6 6 6 6\n6 6 6 6 6 7 6 6 6 6 6 6\n6 6 6 6 7 6 7 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6\nOutput:\n6 6 5 6 6 6 6 6 5 6 6 6\n6 5 6 5 6 6 6 5 6 5 6 6\n6 6 5 5 6 6 6 5 5 6 6 6\n6 6 6 6 7 6 7 6 6 6 6 6\n6 6 6 6 6 7 6 6 6 6 6 6\n6 6 6 6 7 6 7 6 6 6 6 6\n6 6 5 5 6 6 6 5 5 6 6 6\n6 5 6 5 6 6 6 5 6 5 6 6\n6 6 5 6 6 6 6 6 5 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6\n\nExample 2:\n\nInput:\n6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 3 6 3 6 6 6 6 6 6 6\n6 6 6 6 6 3 6 6 6 6 6 6 6 6\n6 6 6 6 3 6 3 6 6 6 6 6 6 6\n6 6 6 6 6 6 7 7 7 6 6 6 6 6\n6 6 6 6 6 6 6 7 7 7 6 6 6 6\n6 6 6 6 6 6 6 6 7 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6\nOutput:\n6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 7 6 6 6 6 6 7 6 6 6 6 6\n6 7 7 7 6 6 6 7 7 7 6 6 6 6\n6 6 7 7 7 6 7 7 7 6 6 6 6 6\n6 6 6 6 3 6 3 6 6 6 6 6 6 6\n6 6 6 6 6 3 6 6 6 6 6 6 6 6\n6 6 6 6 3 6 3 6 6 6 6 6 6 6\n6 6 7 7 7 6 7 7 7 6 6 6 6 6\n6 7 7 7 6 6 6 7 7 7 6 6 6 6\n6 6 7 6 6 6 6 6 7 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6\n\nExample 3:\n\nInput:\n6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 2 6 2 6 6 6 6 6\n6 6 6 6 6 6 6 2 6 6 6 6 6 6\n6 6 6 0 6 6 2 6 2 6 6 6 6 6\n6 6 6 6 0 0 6 6 6 6 6 6 6 6\n6 6 6 6 6 0 0 6 6 6 6 6 6 6\n6 6 6 0 0 6 0 6 6 6 6 6 6 6\n6 6 6 0 6 6 0 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6\nOutput:\n6 6 6 0 6 6 0 6 0 6 6 0 6 6\n6 6 6 0 0 6 0 6 0 6 0 0 6 6\n6 6 6 6 6 0 0 6 0 0 6 6 6 6\n6 6 6 6 0 0 6 6 6 0 0 6 6 6\n6 6 6 0 6 6 2 6 2 6 6 0 6 6\n6 6 6 6 6 6 6 2 6 6 6 6 6 6\n6 6 6 0 6 6 2 6 2 6 6 0 6 6\n6 6 6 6 0 0 6 6 6 0 0 6 6 6\n6 6 6 6 6 0 0 6 0 0 6 6 6 6\n6 6 6 0 0 6 0 6 0 6 0 0 6 6\n6 6 6 0 6 6 0 6 0 6 6 0 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 2 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 2 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 2 2 6 6 6 6 6\n6 6 6 6 6 6 6 6 2 6 6 6 6 6 6\n6 6 6 6 6 6 6 2 2 6 2 6 6 6 6\n6 6 6 6 6 8 6 8 6 2 6 6 6 6 6\n6 6 6 6 6 6 8 6 6 6 6 6 6 6 6\n6 6 6 6 6 8 6 8 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n", "answer": "6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 2 6 2 6 6 6 6 6 6 6\n6 6 6 6 6 2 6 2 6 6 6 6 6 6 6\n6 6 6 2 2 6 6 6 2 2 6 6 6 6 6\n6 6 6 6 2 6 6 6 2 6 6 6 6 6 6\n6 6 2 6 2 2 6 2 2 6 2 6 6 6 6\n6 6 6 2 6 8 6 8 6 2 6 6 6 6 6\n6 6 6 6 6 6 8 6 6 6 6 6 6 6 6\n6 6 6 2 6 8 6 8 6 2 6 6 6 6 6\n6 6 2 6 2 2 6 2 2 6 2 6 6 6 6\n6 6 6 6 2 6 6 6 2 6 6 6 6 6 6\n6 6 6 2 2 6 6 6 2 2 6 6 6 6 6\n6 6 6 6 6 2 6 2 6 6 6 6 6 6 6\n6 6 6 6 6 2 6 2 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6", "metadata": {"source_dataset": "arc_agi", "source_index": 251, "input": [[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 2, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 2, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 2, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 2, 2, 6, 2, 6, 6, 6, 6], [6, 6, 6, 6, 6, 8, 6, 8, 6, 2, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 8, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 8, 6, 8, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]], "output": [[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 2, 6, 2, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 2, 6, 2, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 2, 2, 6, 6, 6, 2, 2, 6, 6, 6, 6, 6], [6, 6, 6, 6, 2, 6, 6, 6, 2, 6, 6, 6, 6, 6, 6], [6, 6, 2, 6, 2, 2, 6, 2, 2, 6, 2, 6, 6, 6, 6], [6, 6, 6, 2, 6, 8, 6, 8, 6, 2, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 8, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 2, 6, 8, 6, 8, 6, 2, 6, 6, 6, 6, 6], [6, 6, 2, 6, 2, 2, 6, 2, 2, 6, 2, 6, 6, 6, 6], [6, 6, 6, 6, 2, 6, 6, 6, 2, 6, 6, 6, 6, 6, 6], [6, 6, 6, 2, 2, 6, 6, 6, 2, 2, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 2, 6, 2, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 2, 6, 2, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]], "task_id": "4c5c2cf0", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 251, "input": [[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 2, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 2, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 2, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 2, 2, 6, 2, 6, 6, 6, 6], [6, 6, 6, 6, 6, 8, 6, 8, 6, 2, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 8, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 8, 6, 8, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]], "output": [[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 2, 6, 2, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 2, 6, 2, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 2, 2, 6, 6, 6, 2, 2, 6, 6, 6, 6, 6], [6, 6, 6, 6, 2, 6, 6, 6, 2, 6, 6, 6, 6, 6, 6], [6, 6, 2, 6, 2, 2, 6, 2, 2, 6, 2, 6, 6, 6, 6], [6, 6, 6, 2, 6, 8, 6, 8, 6, 2, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 8, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 2, 6, 8, 6, 8, 6, 2, 6, 6, 6, 6, 6], [6, 6, 2, 6, 2, 2, 6, 2, 2, 6, 2, 6, 6, 6, 6], [6, 6, 6, 6, 2, 6, 6, 6, 2, 6, 6, 6, 6, 6, 6], [6, 6, 6, 2, 2, 6, 6, 6, 2, 2, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 2, 6, 2, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 2, 6, 2, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]], "task_id": "4c5c2cf0", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null
General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 1 3 3 3 1 3 1 3 1 3 3 1 1 1 3 1 1 3 1 3 1 1 3 1 Output: 3 3 3 5 3 3 3 3 3 3 1 1 3 3 3 3 3 1 1 3 3 3 3 3 1 3 3 3 3 3 3 1 3 3 3 3 3 3 1 1 3 3 3 3 3 3 1 3 3 3 3 3 3 1 3 3 Example 2: Input: 1 3 3 1 3 3 1 3 3 1 3 1 1 1 3 1 1 3 1 1 3 1 3 1 Output: 3 3 3 5 3 3 3 3 3 3 1 1 3 3 3 3 3 3 1 1 3 3 3 3 3 3 1 1 3 3 3 3 3 3 1 3 3 3 3 3 3 1 3 3 3 3 3 3 1 3 3 3 3 3 3 1 Example 3: Input: 3 1 3 1 3 3 1 3 3 1 3 1 1 1 3 1 1 3 1 1 3 1 3 1 Output: 3 3 3 5 3 3 3 3 3 1 1 3 3 3 3 3 1 1 3 3 3 3 3 3 1 1 3 3 3 3 3 3 1 3 3 3 3 3 3 1 3 3 3 3 3 3 1 3 3 3 3 3 3 1 3 3 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 1 3 1 3 3 1 3 3 3 1 3 1 1 3 1 1 3 1 1 3 1 1 3 1
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "3 3 3 5 3 3 3\n3 3 3 1 3 3 3\n3 3 3 1 3 3 3\n3 3 3 1 1 3 3\n3 3 3 3 1 1 3\n3 3 3 3 1 1 3\n3 3 3 3 1 3 3\n3 3 3 3 1 3 3", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n1 3 3 3 1 3 1 3 1 3 3 1\n1 1 3 1 1 3 1 3 1 1 3 1\nOutput:\n3 3 3 5 3 3 3\n3 3 3 1 1 3 3\n3 3 3 1 1 3 3\n3 3 3 1 3 3 3\n3 3 3 1 3 3 3\n3 3 3 1 1 3 3\n3 3 3 3 1 3 3\n3 3 3 3 1 3 3\n\nExample 2:\n\nInput:\n1 3 3 1 3 3 1 3 3 1 3 1\n1 1 3 1 1 3 1 1 3 1 3 1\nOutput:\n3 3 3 5 3 3 3\n3 3 3 1 1 3 3\n3 3 3 3 1 1 3\n3 3 3 3 3 1 1\n3 3 3 3 3 3 1\n3 3 3 3 3 3 1\n3 3 3 3 3 3 1\n3 3 3 3 3 3 1\n\nExample 3:\n\nInput:\n3 1 3 1 3 3 1 3 3 1 3 1\n1 1 3 1 1 3 1 1 3 1 3 1\nOutput:\n3 3 3 5 3 3 3\n3 3 1 1 3 3 3\n3 3 1 1 3 3 3\n3 3 3 1 1 3 3\n3 3 3 3 1 3 3\n3 3 3 3 1 3 3\n3 3 3 3 1 3 3\n3 3 3 3 1 3 3\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n1 3 1 3 3 1 3 3 3 1 3 1\n1 3 1 1 3 1 1 3 1 1 3 1\n", "answer": "3 3 3 5 3 3 3\n3 3 3 1 3 3 3\n3 3 3 1 3 3 3\n3 3 3 1 1 3 3\n3 3 3 3 1 1 3\n3 3 3 3 1 1 3\n3 3 3 3 1 3 3\n3 3 3 3 1 3 3", "metadata": {"source_dataset": "arc_agi", "source_index": 252, "input": [[1, 3, 1, 3, 3, 1, 3, 3, 3, 1, 3, 1], [1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1]], "output": [[3, 3, 3, 5, 3, 3, 3], [3, 3, 3, 1, 3, 3, 3], [3, 3, 3, 1, 3, 3, 3], [3, 3, 3, 1, 1, 3, 3], [3, 3, 3, 3, 1, 1, 3], [3, 3, 3, 3, 1, 1, 3], [3, 3, 3, 3, 1, 3, 3], [3, 3, 3, 3, 1, 3, 3]], "task_id": "e6de6e8f", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 252, "input": [[1, 3, 1, 3, 3, 1, 3, 3, 3, 1, 3, 1], [1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1]], "output": [[3, 3, 3, 5, 3, 3, 3], [3, 3, 3, 1, 3, 3, 3], [3, 3, 3, 1, 3, 3, 3], [3, 3, 3, 1, 1, 3, 3], [3, 3, 3, 3, 1, 1, 3], [3, 3, 3, 3, 1, 1, 3], [3, 3, 3, 3, 1, 3, 3], [3, 3, 3, 3, 1, 3, 3]], "task_id": "e6de6e8f", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null
General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 1 1 1 4 4 4 4 4 4 4 4 4 1 8 1 4 4 4 4 4 4 4 4 4 1 1 1 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 Output: 8 8 8 8 1 8 8 8 8 Example 2: Input: 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 2 2 2 4 4 4 4 4 4 4 4 2 9 9 2 4 4 4 4 4 4 4 4 2 9 9 2 4 4 4 4 4 4 4 4 2 2 2 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 Output: 9 9 9 9 9 2 2 9 9 2 2 9 9 9 9 9 Example 3: Input: 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 4 4 4 4 4 4 4 9 9 9 9 9 4 4 4 4 4 4 4 9 9 3 9 9 4 4 4 4 4 4 4 9 9 9 9 9 4 4 4 4 4 4 4 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 Output: 3 3 3 3 3 3 3 3 3 3 3 3 9 3 3 3 3 3 3 3 3 3 3 3 3 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 8 8 8 8 8 8 4 4 4 4 4 4 4 4 8 8 8 8 8 8 4 4 4 4 4 4 4 4 8 8 5 5 8 8 4 4 4 4 4 4 4 4 8 8 5 5 8 8 4 4 4 4 4 4 4 4 8 8 8 8 8 8 4 4 4 4 4 4 4 4 8 8 8 8 8 8 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "5 5 5 5 5 5\n5 5 5 5 5 5\n5 5 8 8 5 5\n5 5 8 8 5 5\n5 5 5 5 5 5\n5 5 5 5 5 5", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 1 1 1 4 4\n4 4 4 4 4 4 4 1 8 1 4 4\n4 4 4 4 4 4 4 1 1 1 4 4\n4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4\nOutput:\n8 8 8\n8 1 8\n8 8 8\n\nExample 2:\n\nInput:\n4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 2 2 2 2 4\n4 4 4 4 4 4 4 2 9 9 2 4\n4 4 4 4 4 4 4 2 9 9 2 4\n4 4 4 4 4 4 4 2 2 2 2 4\n4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4\nOutput:\n9 9 9 9\n9 2 2 9\n9 2 2 9\n9 9 9 9\n\nExample 3:\n\nInput:\n4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4\n4 9 9 9 9 9 4 4 4 4 4 4\n4 9 9 9 9 9 4 4 4 4 4 4\n4 9 9 3 9 9 4 4 4 4 4 4\n4 9 9 9 9 9 4 4 4 4 4 4\n4 9 9 9 9 9 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4\nOutput:\n3 3 3 3 3\n3 3 3 3 3\n3 3 9 3 3\n3 3 3 3 3\n3 3 3 3 3\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 8 8 8 8 8 8 4\n4 4 4 4 4 4 4 8 8 8 8 8 8 4\n4 4 4 4 4 4 4 8 8 5 5 8 8 4\n4 4 4 4 4 4 4 8 8 5 5 8 8 4\n4 4 4 4 4 4 4 8 8 8 8 8 8 4\n4 4 4 4 4 4 4 8 8 8 8 8 8 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4\n", "answer": "5 5 5 5 5 5\n5 5 5 5 5 5\n5 5 8 8 5 5\n5 5 8 8 5 5\n5 5 5 5 5 5\n5 5 5 5 5 5", "metadata": {"source_dataset": "arc_agi", "source_index": 253, "input": [[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 4], [4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 4], [4, 4, 4, 4, 4, 4, 4, 8, 8, 5, 5, 8, 8, 4], [4, 4, 4, 4, 4, 4, 4, 8, 8, 5, 5, 8, 8, 4], [4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 4], [4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]], "output": [[5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [5, 5, 8, 8, 5, 5], [5, 5, 8, 8, 5, 5], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5]], "task_id": "b94a9452", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 253, "input": [[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 4], [4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 4], [4, 4, 4, 4, 4, 4, 4, 8, 8, 5, 5, 8, 8, 4], [4, 4, 4, 4, 4, 4, 4, 8, 8, 5, 5, 8, 8, 4], [4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 4], [4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]], "output": [[5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [5, 5, 8, 8, 5, 5], [5, 5, 8, 8, 5, 5], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5]], "task_id": "b94a9452", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
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General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 2 3 3 3 2 3 3 6 3 3 3 6 6 6 3 3 3 6 3 3 2 3 3 3 2 Output: 6 6 6 6 6 6 6 6 6 3 2 2 2 2 2 2 2 2 6 6 3 3 3 3 3 3 3 2 2 6 6 6 6 6 6 6 3 3 2 6 2 2 2 2 2 6 6 3 2 6 2 3 3 3 2 2 6 3 2 6 3 3 6 3 3 2 6 3 2 6 3 6 6 6 3 2 6 3 2 6 3 3 6 3 3 2 6 3 2 6 2 3 3 3 2 2 6 3 2 6 Example 2: Input: 6 8 8 8 6 8 8 5 8 8 8 5 5 5 8 8 8 5 8 8 6 8 8 8 6 Output: 5 5 5 5 5 5 5 5 5 8 6 6 6 6 6 6 6 6 5 5 8 8 8 8 8 8 8 6 6 5 5 5 5 5 5 5 8 8 6 5 6 6 6 6 6 5 5 8 6 5 6 8 8 8 6 6 5 8 6 5 8 8 5 8 8 6 5 8 6 5 8 5 5 5 8 6 5 8 6 5 8 8 5 8 8 6 5 8 6 5 6 8 8 8 6 6 5 8 6 5 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 5 9 9 9 5 9 9 2 9 9 9 2 2 2 9 9 9 2 9 9 5 9 9 9 5
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "2 2 2 2 2 2 2 2 2 9\n5 5 5 5 5 5 5 5 2 2\n9 9 9 9 9 9 9 5 5 2\n2 2 2 2 2 2 9 9 5 2\n5 5 5 5 5 2 2 9 5 2\n5 9 9 9 5 5 2 9 5 2\n9 9 2 9 9 5 2 9 5 2\n9 2 2 2 9 5 2 9 5 2\n9 9 2 9 9 5 2 9 5 2\n5 9 9 9 5 5 2 9 5 2", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n2 3 3 3 2\n3 3 6 3 3\n3 6 6 6 3\n3 3 6 3 3\n2 3 3 3 2\nOutput:\n6 6 6 6 6 6 6 6 6 3\n2 2 2 2 2 2 2 2 6 6\n3 3 3 3 3 3 3 2 2 6\n6 6 6 6 6 6 3 3 2 6\n2 2 2 2 2 6 6 3 2 6\n2 3 3 3 2 2 6 3 2 6\n3 3 6 3 3 2 6 3 2 6\n3 6 6 6 3 2 6 3 2 6\n3 3 6 3 3 2 6 3 2 6\n2 3 3 3 2 2 6 3 2 6\n\nExample 2:\n\nInput:\n6 8 8 8 6\n8 8 5 8 8\n8 5 5 5 8\n8 8 5 8 8\n6 8 8 8 6\nOutput:\n5 5 5 5 5 5 5 5 5 8\n6 6 6 6 6 6 6 6 5 5\n8 8 8 8 8 8 8 6 6 5\n5 5 5 5 5 5 8 8 6 5\n6 6 6 6 6 5 5 8 6 5\n6 8 8 8 6 6 5 8 6 5\n8 8 5 8 8 6 5 8 6 5\n8 5 5 5 8 6 5 8 6 5\n8 8 5 8 8 6 5 8 6 5\n6 8 8 8 6 6 5 8 6 5\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n5 9 9 9 5\n9 9 2 9 9\n9 2 2 2 9\n9 9 2 9 9\n5 9 9 9 5\n", "answer": "2 2 2 2 2 2 2 2 2 9\n5 5 5 5 5 5 5 5 2 2\n9 9 9 9 9 9 9 5 5 2\n2 2 2 2 2 2 9 9 5 2\n5 5 5 5 5 2 2 9 5 2\n5 9 9 9 5 5 2 9 5 2\n9 9 2 9 9 5 2 9 5 2\n9 2 2 2 9 5 2 9 5 2\n9 9 2 9 9 5 2 9 5 2\n5 9 9 9 5 5 2 9 5 2", "metadata": {"source_dataset": "arc_agi", "source_index": 254, "input": [[5, 9, 9, 9, 5], [9, 9, 2, 9, 9], [9, 2, 2, 2, 9], [9, 9, 2, 9, 9], [5, 9, 9, 9, 5]], "output": [[2, 2, 2, 2, 2, 2, 2, 2, 2, 9], [5, 5, 5, 5, 5, 5, 5, 5, 2, 2], [9, 9, 9, 9, 9, 9, 9, 5, 5, 2], [2, 2, 2, 2, 2, 2, 9, 9, 5, 2], [5, 5, 5, 5, 5, 2, 2, 9, 5, 2], [5, 9, 9, 9, 5, 5, 2, 9, 5, 2], [9, 9, 2, 9, 9, 5, 2, 9, 5, 2], [9, 2, 2, 2, 9, 5, 2, 9, 5, 2], [9, 9, 2, 9, 9, 5, 2, 9, 5, 2], [5, 9, 9, 9, 5, 5, 2, 9, 5, 2]], "task_id": "3979b1a8", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 254, "input": [[5, 9, 9, 9, 5], [9, 9, 2, 9, 9], [9, 2, 2, 2, 9], [9, 9, 2, 9, 9], [5, 9, 9, 9, 5]], "output": [[2, 2, 2, 2, 2, 2, 2, 2, 2, 9], [5, 5, 5, 5, 5, 5, 5, 5, 2, 2], [9, 9, 9, 9, 9, 9, 9, 5, 5, 2], [2, 2, 2, 2, 2, 2, 9, 9, 5, 2], [5, 5, 5, 5, 5, 2, 2, 9, 5, 2], [5, 9, 9, 9, 5, 5, 2, 9, 5, 2], [9, 9, 2, 9, 9, 5, 2, 9, 5, 2], [9, 2, 2, 2, 9, 5, 2, 9, 5, 2], [9, 9, 2, 9, 9, 5, 2, 9, 5, 2], [5, 9, 9, 9, 5, 5, 2, 9, 5, 2]], "task_id": "3979b1a8", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
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General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 5 5 2 5 5 5 5 2 5 5 5 5 2 5 5 5 5 2 5 5 5 5 2 5 5 5 5 2 5 5 2 2 2 2 2 2 2 2 2 2 5 5 2 5 5 5 5 2 5 5 5 5 2 5 5 5 5 2 5 5 5 5 2 5 5 5 5 2 5 5 2 2 2 2 2 2 2 2 2 2 5 5 2 5 5 5 5 2 5 5 5 5 2 5 5 5 5 2 5 5 Output: 5 5 2 5 5 5 5 2 6 6 5 5 2 5 5 5 5 2 6 6 5 5 2 5 5 5 5 2 6 6 2 2 2 2 2 2 2 2 2 2 5 5 2 4 4 4 4 2 5 5 5 5 2 4 4 4 4 2 5 5 5 5 2 4 4 4 4 2 5 5 2 2 2 2 2 2 2 2 2 2 1 1 2 5 5 5 5 2 5 5 1 1 2 5 5 5 5 2 5 5 Example 2: Input: 5 2 5 5 5 5 2 5 5 5 2 2 2 2 2 2 2 2 2 2 5 2 5 5 5 5 2 5 5 5 2 2 2 2 2 2 2 2 2 2 5 2 5 5 5 5 2 5 5 5 5 2 5 5 5 5 2 5 5 5 2 2 2 2 2 2 2 2 2 2 5 2 5 5 5 5 2 5 5 5 2 2 2 2 2 2 2 2 2 2 5 2 5 5 5 5 2 5 5 5 Output: 5 2 5 5 5 5 2 6 6 6 2 2 2 2 2 2 2 2 2 2 5 2 5 5 5 5 2 5 5 5 2 2 2 2 2 2 2 2 2 2 5 2 4 4 4 4 2 5 5 5 5 2 4 4 4 4 2 5 5 5 2 2 2 2 2 2 2 2 2 2 5 2 5 5 5 5 2 5 5 5 2 2 2 2 2 2 2 2 2 2 1 2 5 5 5 5 2 5 5 5 Example 3: Input: 5 2 5 2 5 2 5 5 2 5 5 2 5 2 5 2 5 5 2 5 5 2 5 2 5 2 5 5 2 5 2 2 2 2 2 2 2 2 2 2 5 2 5 2 5 2 5 5 2 5 5 2 5 2 5 2 5 5 2 5 2 2 2 2 2 2 2 2 2 2 5 2 5 2 5 2 5 5 2 5 5 2 5 2 5 2 5 5 2 5 5 2 5 2 5 2 5 5 2 5 Output: 5 2 5 2 5 2 5 5 2 6 5 2 5 2 5 2 5 5 2 6 5 2 5 2 5 2 5 5 2 6 2 2 2 2 2 2 2 2 2 2 5 2 5 2 4 2 5 5 2 5 5 2 5 2 4 2 5 5 2 5 2 2 2 2 2 2 2 2 2 2 1 2 5 2 5 2 5 5 2 5 1 2 5 2 5 2 5 5 2 5 1 2 5 2 5 2 5 5 2 5 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 5 2 5 2 5 5 2 5 2 5 2 2 2 2 2 2 2 2 2 2 5 2 5 2 5 5 2 5 2 5 5 2 5 2 5 5 2 5 2 5 2 2 2 2 2 2 2 2 2 2 5 2 5 2 5 5 2 5 2 5 2 2 2 2 2 2 2 2 2 2 5 2 5 2 5 5 2 5 2 5 2 2 2 2 2 2 2 2 2 2 5 2 5 2 5 5 2 5 2 5
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "5 2 5 2 5 5 2 5 2 6\n2 2 2 2 2 2 2 2 2 2\n5 2 5 2 5 5 2 5 2 5\n5 2 5 2 5 5 2 5 2 5\n2 2 2 2 2 2 2 2 2 2\n5 2 5 2 4 4 2 5 2 5\n2 2 2 2 2 2 2 2 2 2\n5 2 5 2 5 5 2 5 2 5\n2 2 2 2 2 2 2 2 2 2\n1 2 5 2 5 5 2 5 2 5", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n5 5 2 5 5 5 5 2 5 5\n5 5 2 5 5 5 5 2 5 5\n5 5 2 5 5 5 5 2 5 5\n2 2 2 2 2 2 2 2 2 2\n5 5 2 5 5 5 5 2 5 5\n5 5 2 5 5 5 5 2 5 5\n5 5 2 5 5 5 5 2 5 5\n2 2 2 2 2 2 2 2 2 2\n5 5 2 5 5 5 5 2 5 5\n5 5 2 5 5 5 5 2 5 5\nOutput:\n5 5 2 5 5 5 5 2 6 6\n5 5 2 5 5 5 5 2 6 6\n5 5 2 5 5 5 5 2 6 6\n2 2 2 2 2 2 2 2 2 2\n5 5 2 4 4 4 4 2 5 5\n5 5 2 4 4 4 4 2 5 5\n5 5 2 4 4 4 4 2 5 5\n2 2 2 2 2 2 2 2 2 2\n1 1 2 5 5 5 5 2 5 5\n1 1 2 5 5 5 5 2 5 5\n\nExample 2:\n\nInput:\n5 2 5 5 5 5 2 5 5 5\n2 2 2 2 2 2 2 2 2 2\n5 2 5 5 5 5 2 5 5 5\n2 2 2 2 2 2 2 2 2 2\n5 2 5 5 5 5 2 5 5 5\n5 2 5 5 5 5 2 5 5 5\n2 2 2 2 2 2 2 2 2 2\n5 2 5 5 5 5 2 5 5 5\n2 2 2 2 2 2 2 2 2 2\n5 2 5 5 5 5 2 5 5 5\nOutput:\n5 2 5 5 5 5 2 6 6 6\n2 2 2 2 2 2 2 2 2 2\n5 2 5 5 5 5 2 5 5 5\n2 2 2 2 2 2 2 2 2 2\n5 2 4 4 4 4 2 5 5 5\n5 2 4 4 4 4 2 5 5 5\n2 2 2 2 2 2 2 2 2 2\n5 2 5 5 5 5 2 5 5 5\n2 2 2 2 2 2 2 2 2 2\n1 2 5 5 5 5 2 5 5 5\n\nExample 3:\n\nInput:\n5 2 5 2 5 2 5 5 2 5\n5 2 5 2 5 2 5 5 2 5\n5 2 5 2 5 2 5 5 2 5\n2 2 2 2 2 2 2 2 2 2\n5 2 5 2 5 2 5 5 2 5\n5 2 5 2 5 2 5 5 2 5\n2 2 2 2 2 2 2 2 2 2\n5 2 5 2 5 2 5 5 2 5\n5 2 5 2 5 2 5 5 2 5\n5 2 5 2 5 2 5 5 2 5\nOutput:\n5 2 5 2 5 2 5 5 2 6\n5 2 5 2 5 2 5 5 2 6\n5 2 5 2 5 2 5 5 2 6\n2 2 2 2 2 2 2 2 2 2\n5 2 5 2 4 2 5 5 2 5\n5 2 5 2 4 2 5 5 2 5\n2 2 2 2 2 2 2 2 2 2\n1 2 5 2 5 2 5 5 2 5\n1 2 5 2 5 2 5 5 2 5\n1 2 5 2 5 2 5 5 2 5\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n5 2 5 2 5 5 2 5 2 5\n2 2 2 2 2 2 2 2 2 2\n5 2 5 2 5 5 2 5 2 5\n5 2 5 2 5 5 2 5 2 5\n2 2 2 2 2 2 2 2 2 2\n5 2 5 2 5 5 2 5 2 5\n2 2 2 2 2 2 2 2 2 2\n5 2 5 2 5 5 2 5 2 5\n2 2 2 2 2 2 2 2 2 2\n5 2 5 2 5 5 2 5 2 5\n", "answer": "5 2 5 2 5 5 2 5 2 6\n2 2 2 2 2 2 2 2 2 2\n5 2 5 2 5 5 2 5 2 5\n5 2 5 2 5 5 2 5 2 5\n2 2 2 2 2 2 2 2 2 2\n5 2 5 2 4 4 2 5 2 5\n2 2 2 2 2 2 2 2 2 2\n5 2 5 2 5 5 2 5 2 5\n2 2 2 2 2 2 2 2 2 2\n1 2 5 2 5 5 2 5 2 5", "metadata": {"source_dataset": "arc_agi", "source_index": 255, "input": [[5, 2, 5, 2, 5, 5, 2, 5, 2, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 2, 5, 2, 5, 5, 2, 5, 2, 5], [5, 2, 5, 2, 5, 5, 2, 5, 2, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 2, 5, 2, 5, 5, 2, 5, 2, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 2, 5, 2, 5, 5, 2, 5, 2, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 2, 5, 2, 5, 5, 2, 5, 2, 5]], "output": [[5, 2, 5, 2, 5, 5, 2, 5, 2, 6], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 2, 5, 2, 5, 5, 2, 5, 2, 5], [5, 2, 5, 2, 5, 5, 2, 5, 2, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 2, 5, 2, 4, 4, 2, 5, 2, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 2, 5, 2, 5, 5, 2, 5, 2, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [1, 2, 5, 2, 5, 5, 2, 5, 2, 5]], "task_id": "941d9a10", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 255, "input": [[5, 2, 5, 2, 5, 5, 2, 5, 2, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 2, 5, 2, 5, 5, 2, 5, 2, 5], [5, 2, 5, 2, 5, 5, 2, 5, 2, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 2, 5, 2, 5, 5, 2, 5, 2, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 2, 5, 2, 5, 5, 2, 5, 2, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 2, 5, 2, 5, 5, 2, 5, 2, 5]], "output": [[5, 2, 5, 2, 5, 5, 2, 5, 2, 6], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 2, 5, 2, 5, 5, 2, 5, 2, 5], [5, 2, 5, 2, 5, 5, 2, 5, 2, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 2, 5, 2, 4, 4, 2, 5, 2, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [5, 2, 5, 2, 5, 5, 2, 5, 2, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [1, 2, 5, 2, 5, 5, 2, 5, 2, 5]], "task_id": "941d9a10", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
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General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 8 8 5 5 8 5 5 5 8 8 5 8 8 8 8 5 8 8 5 8 8 8 5 5 5 8 5 5 5 8 5 8 5 8 5 5 5 8 5 5 5 8 8 5 8 8 8 5 8 8 8 5 5 8 8 5 8 5 8 8 5 8 8 5 8 8 8 5 8 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 5 8 7 8 7 8 8 5 8 8 8 8 5 8 5 8 5 8 8 5 8 8 8 5 5 5 8 7 8 7 8 5 5 5 8 5 5 5 8 5 8 5 8 5 5 5 8 8 5 5 8 8 7 7 7 8 8 5 8 8 5 8 8 8 5 5 5 8 8 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 5 5 8 8 5 8 8 8 8 5 8 5 5 5 8 8 5 8 8 8 5 5 8 8 5 8 5 8 8 5 8 8 5 5 5 8 5 8 5 8 8 5 8 8 5 5 5 8 8 5 8 5 8 5 8 5 8 5 8 8 8 5 8 5 8 5 8 5 8 5 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 8 8 5 8 8 5 5 5 8 8 5 5 8 5 8 5 8 8 5 8 8 8 5 5 5 8 5 5 5 8 5 8 5 8 5 5 5 8 5 8 5 8 5 5 5 8 8 5 8 8 8 8 5 8 8 5 8 5 8 5 5 8 8 5 5 5 8 8 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 Output: 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 8 8 5 5 8 5 5 5 8 8 5 8 8 8 8 5 8 8 5 8 8 8 5 5 5 8 5 5 5 8 5 8 5 8 5 5 5 8 5 5 5 8 8 5 8 8 8 5 8 8 8 5 5 8 8 5 8 5 8 8 5 8 8 5 8 8 8 5 8 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 5 8 7 8 7 8 8 9 8 8 8 8 9 8 7 8 7 8 8 5 8 8 8 5 5 5 8 7 8 7 8 9 9 9 8 9 9 9 8 7 8 7 8 5 5 5 8 8 5 5 8 8 7 7 7 8 8 9 8 8 9 8 8 8 7 7 7 8 8 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 5 5 8 8 5 8 8 8 8 5 8 5 5 5 8 8 9 8 8 8 5 5 8 8 5 8 5 8 8 5 8 8 5 5 5 8 5 8 5 8 8 9 8 8 5 5 5 8 8 5 8 5 8 5 8 5 8 5 8 8 8 5 8 5 8 9 8 9 8 5 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 8 8 5 8 8 5 5 5 8 8 5 5 8 7 8 7 8 8 5 8 8 8 5 5 5 8 5 5 5 8 5 8 5 8 5 5 5 8 7 8 7 8 5 5 5 8 8 5 8 8 8 8 5 8 8 5 8 5 8 5 5 8 8 7 7 7 8 8 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 Example 2: Input: 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 8 5 8 5 8 5 8 5 8 5 8 8 5 8 8 5 5 5 8 5 8 5 8 8 8 5 8 8 5 5 5 8 5 5 5 8 5 5 5 8 5 8 5 8 8 5 8 8 8 5 8 5 8 5 8 5 8 5 8 5 8 8 5 8 8 5 5 5 8 5 8 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 8 5 8 5 5 5 8 8 5 8 8 5 8 5 8 5 8 5 8 5 5 5 8 8 5 5 5 8 5 8 5 8 5 5 5 8 8 5 8 8 5 5 5 8 5 8 5 8 8 5 8 5 8 5 5 5 8 8 5 8 8 5 8 5 8 5 8 5 8 5 5 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 8 8 5 8 5 8 5 8 5 8 5 5 5 8 8 5 8 8 5 8 5 8 8 5 5 5 8 8 5 8 8 8 5 8 8 5 8 5 8 5 5 5 8 8 5 8 8 8 8 5 8 8 5 8 5 8 5 8 5 8 5 5 5 8 8 5 8 8 5 8 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 8 5 8 8 5 8 8 7 7 7 8 5 8 5 8 5 5 5 8 8 5 8 8 8 8 5 8 8 5 5 5 8 7 8 7 8 8 5 8 8 5 8 5 8 5 5 5 8 8 5 8 5 8 8 5 8 8 7 7 7 8 5 8 5 8 5 5 5 8 8 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 Output: 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 8 5 8 5 8 5 8 5 8 5 8 8 5 8 8 7 7 7 8 5 8 5 8 8 8 5 8 8 5 5 5 8 5 5 5 8 5 5 5 8 7 8 7 8 8 5 8 8 8 5 8 5 8 5 8 5 8 5 8 5 8 8 5 8 8 7 7 7 8 5 8 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 8 5 8 7 7 7 8 8 9 8 8 9 8 9 8 9 8 9 8 7 7 7 8 8 5 5 5 8 7 8 7 8 9 9 9 8 8 9 8 8 9 9 9 8 7 8 7 8 8 5 8 5 8 7 7 7 8 8 9 8 8 9 8 9 8 9 8 9 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 8 8 5 8 5 8 5 8 5 8 7 7 7 8 8 9 8 8 5 8 5 8 8 5 5 5 8 8 5 8 8 8 5 8 8 7 8 7 8 9 9 9 8 8 5 8 8 8 8 5 8 8 5 8 5 8 5 8 5 8 7 7 7 8 8 9 8 8 5 8 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 8 5 8 8 5 8 8 7 7 7 8 9 8 9 8 7 7 7 8 8 5 8 8 8 8 5 8 8 5 5 5 8 7 8 7 8 8 9 8 8 7 8 7 8 5 5 5 8 8 5 8 5 8 8 5 8 8 7 7 7 8 9 8 9 8 7 7 7 8 8 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 Example 3: Input: 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 5 5 8 8 5 8 8 5 5 5 8 5 8 5 8 5 5 5 8 8 5 8 8 8 8 5 8 8 5 5 5 8 8 5 8 8 5 5 5 8 5 5 5 8 5 5 5 8 8 5 5 5 8 8 5 8 8 5 5 5 8 5 8 5 8 5 5 5 8 8 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 8 8 8 8 8 8 8 8 8 8 8 5 8 8 8 8 8 8 5 5 5 8 8 5 5 5 8 8 5 8 8 8 5 8 8 5 5 5 8 8 5 8 8 8 5 8 8 8 8 5 8 8 8 8 8 8 8 8 8 8 8 5 8 8 8 8 8 8 5 5 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 5 5 8 5 8 5 8 8 8 8 8 5 5 5 8 5 8 5 8 5 5 5 8 8 5 5 5 8 5 5 5 8 8 5 8 8 5 5 5 8 5 5 5 8 5 5 5 8 8 5 5 5 8 5 8 5 8 8 8 8 8 5 5 5 8 5 8 5 8 5 5 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 8 5 8 8 5 8 8 5 5 5 8 8 7 8 8 5 5 5 8 5 5 5 8 8 5 5 5 8 5 5 5 8 5 5 5 8 7 7 7 8 8 5 8 8 5 8 5 8 8 5 8 5 8 8 5 8 8 5 5 5 8 8 7 8 8 5 5 5 8 5 5 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 Output: 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 5 5 8 8 7 8 8 9 9 9 8 9 8 9 8 9 9 9 8 8 7 8 8 8 8 5 8 8 7 7 7 8 8 9 8 8 9 9 9 8 9 9 9 8 7 7 7 8 8 5 5 5 8 8 7 8 8 9 9 9 8 9 8 9 8 9 9 9 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 5 5 5 8 8 7 7 7 8 8 9 8 8 8 9 8 8 7 7 7 8 8 5 8 8 8 5 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 5 5 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 5 5 8 9 8 9 8 8 8 8 8 9 9 9 8 5 8 5 8 5 5 5 8 8 5 5 5 8 9 9 9 8 8 5 8 8 9 9 9 8 5 5 5 8 5 5 5 8 8 5 5 5 8 9 8 9 8 8 8 8 8 9 9 9 8 5 8 5 8 5 5 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 8 5 8 8 7 8 8 9 9 9 8 8 7 8 8 5 5 5 8 5 5 5 8 8 5 5 5 8 7 7 7 8 9 9 9 8 7 7 7 8 8 5 8 8 5 8 5 8 8 5 8 5 8 8 7 8 8 9 9 9 8 8 7 8 8 5 5 5 8 5 5 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 8 8 8 8 5 8 5 5 5 8 8 5 8 8 8 5 5 8 8 8 5 8 8 5 5 5 8 5 5 8 8 5 8 5 8 5 5 5 8 8 5 8 8 5 5 8 8 8 8 5 8 8 8 5 8 8 5 5 5 8 8 5 8 8 5 5 8 8 8 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 5 5 8 8 5 8 8 8 8 5 8 8 8 8 8 8 5 8 8 8 8 8 8 8 8 5 8 8 5 5 5 8 5 5 8 8 8 5 8 8 5 5 5 8 8 5 8 8 8 5 5 5 8 8 5 8 8 8 5 8 8 8 8 8 8 8 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 5 8 5 5 5 8 5 5 5 8 5 5 5 8 5 5 5 8 5 5 5 8 8 8 5 8 8 8 5 8 8 5 8 5 8 8 5 8 8 8 5 8 8 5 8 5 8 8 5 5 8 8 5 5 5 8 5 5 5 8 5 5 5 8 5 5 5 8 5 5 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 5 5 8 8 8 7 8 5 5 5 8 8 8 8 8 8 5 8 8 8 8 5 8 8 5 8 5 8 7 7 8 8 8 5 8 8 8 5 8 8 5 5 5 8 5 5 8 8 8 5 5 5 8 8 7 8 8 5 5 5 8 8 8 8 8 8 5 8 8 8 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 5 8 8 8 8 7 8 9 9 9 8 8 9 8 8 8 9 9 8 8 8 7 8\n8 5 5 5 8 7 7 8 8 9 8 9 8 9 9 9 8 8 9 8 8 7 7 8 8\n8 8 5 8 8 8 7 8 8 9 9 9 8 8 9 8 8 9 9 8 8 8 7 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 5 5 5 8 8 9 8 8 8 8 7 8 8 8 8 8 8 5 8 8 8 8 8 8\n8 8 5 8 8 9 9 9 8 7 7 8 8 8 5 8 8 5 5 5 8 8 9 8 8\n8 5 5 5 8 8 9 8 8 8 7 8 8 8 8 8 8 8 5 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 5 5 8 9 9 9 8 5 5 5 8 5 5 5 8 5 5 5 8 9 9 9 8\n8 8 5 8 8 8 9 8 8 5 8 5 8 8 5 8 8 8 5 8 8 9 8 9 8\n8 5 5 8 8 9 9 9 8 5 5 5 8 5 5 5 8 5 5 5 8 9 9 9 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 5 5 5 8 8 8 7 8 9 9 9 8 8 8 8 8 8 9 8 8 8 8 7 8\n8 5 8 5 8 7 7 8 8 8 9 8 8 8 9 8 8 9 9 9 8 7 7 8 8\n8 5 5 5 8 8 7 8 8 9 9 9 8 8 8 8 8 8 9 8 8 8 7 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 5 8 8 5 5 8 5 5 5 8 8 5 8 8 8 8 5 8 8 5 8 8\n8 5 5 5 8 5 5 5 8 5 8 5 8 5 5 5 8 5 5 5 8 8 5 8 8\n8 5 8 8 8 5 5 8 8 5 8 5 8 8 5 8 8 5 8 8 8 5 8 5 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 5 5 8 7 8 7 8 8 5 8 8 8 8 5 8 5 8 5 8 8 5 8 8\n8 5 5 5 8 7 8 7 8 5 5 5 8 5 5 5 8 5 8 5 8 5 5 5 8\n8 5 5 8 8 7 7 7 8 8 5 8 8 5 8 8 8 5 5 5 8 8 5 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 5 5 5 8 8 5 8 8 8 8 5 8 5 5 5 8 8 5 8 8 8 5 5 8\n8 5 8 5 8 8 5 8 8 5 5 5 8 5 8 5 8 8 5 8 8 5 5 5 8\n8 5 8 5 8 5 8 5 8 5 8 8 8 5 8 5 8 5 8 5 8 5 5 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 5 8 8 5 8 8 5 5 5 8 8 5 5 8 5 8 5 8 8 5 8 8\n8 5 5 5 8 5 5 5 8 5 8 5 8 5 5 5 8 5 8 5 8 5 5 5 8\n8 5 8 8 8 8 5 8 8 5 8 5 8 5 5 8 8 5 5 5 8 8 5 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\nOutput:\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 5 8 8 5 5 8 5 5 5 8 8 5 8 8 8 8 5 8 8 5 8 8\n8 5 5 5 8 5 5 5 8 5 8 5 8 5 5 5 8 5 5 5 8 8 5 8 8\n8 5 8 8 8 5 5 8 8 5 8 5 8 8 5 8 8 5 8 8 8 5 8 5 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 5 5 8 7 8 7 8 8 9 8 8 8 8 9 8 7 8 7 8 8 5 8 8\n8 5 5 5 8 7 8 7 8 9 9 9 8 9 9 9 8 7 8 7 8 5 5 5 8\n8 5 5 8 8 7 7 7 8 8 9 8 8 9 8 8 8 7 7 7 8 8 5 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 5 5 5 8 8 5 8 8 8 8 5 8 5 5 5 8 8 9 8 8 8 5 5 8\n8 5 8 5 8 8 5 8 8 5 5 5 8 5 8 5 8 8 9 8 8 5 5 5 8\n8 5 8 5 8 5 8 5 8 5 8 8 8 5 8 5 8 9 8 9 8 5 5 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 5 8 8 5 8 8 5 5 5 8 8 5 5 8 7 8 7 8 8 5 8 8\n8 5 5 5 8 5 5 5 8 5 8 5 8 5 5 5 8 7 8 7 8 5 5 5 8\n8 5 8 8 8 8 5 8 8 5 8 5 8 5 5 8 8 7 7 7 8 8 5 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n\nExample 2:\n\nInput:\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 5 8 5 8 5 8 5 8 5 8 5 8 8 5 8 8 5 5 5 8 5 8 5 8\n8 8 5 8 8 5 5 5 8 5 5 5 8 5 5 5 8 5 8 5 8 8 5 8 8\n8 5 8 5 8 5 8 5 8 5 8 5 8 8 5 8 8 5 5 5 8 5 8 5 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 5 8 5 8 5 5 5 8 8 5 8 8 5 8 5 8 5 8 5 8 5 5 5 8\n8 5 5 5 8 5 8 5 8 5 5 5 8 8 5 8 8 5 5 5 8 5 8 5 8\n8 5 8 5 8 5 5 5 8 8 5 8 8 5 8 5 8 5 8 5 8 5 5 5 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 5 8 8 5 8 5 8 5 8 5 8 5 5 5 8 8 5 8 8 5 8 5 8\n8 5 5 5 8 8 5 8 8 8 5 8 8 5 8 5 8 5 5 5 8 8 5 8 8\n8 8 5 8 8 5 8 5 8 5 8 5 8 5 5 5 8 8 5 8 8 5 8 5 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 5 8 5 8 8 5 8 8 7 7 7 8 5 8 5 8 5 5 5 8 8 5 8 8\n8 8 5 8 8 5 5 5 8 7 8 7 8 8 5 8 8 5 8 5 8 5 5 5 8\n8 5 8 5 8 8 5 8 8 7 7 7 8 5 8 5 8 5 5 5 8 8 5 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\nOutput:\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 5 8 5 8 5 8 5 8 5 8 5 8 8 5 8 8 7 7 7 8 5 8 5 8\n8 8 5 8 8 5 5 5 8 5 5 5 8 5 5 5 8 7 8 7 8 8 5 8 8\n8 5 8 5 8 5 8 5 8 5 8 5 8 8 5 8 8 7 7 7 8 5 8 5 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 5 8 5 8 7 7 7 8 8 9 8 8 9 8 9 8 9 8 9 8 7 7 7 8\n8 5 5 5 8 7 8 7 8 9 9 9 8 8 9 8 8 9 9 9 8 7 8 7 8\n8 5 8 5 8 7 7 7 8 8 9 8 8 9 8 9 8 9 8 9 8 7 7 7 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 5 8 8 5 8 5 8 5 8 5 8 7 7 7 8 8 9 8 8 5 8 5 8\n8 5 5 5 8 8 5 8 8 8 5 8 8 7 8 7 8 9 9 9 8 8 5 8 8\n8 8 5 8 8 5 8 5 8 5 8 5 8 7 7 7 8 8 9 8 8 5 8 5 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 5 8 5 8 8 5 8 8 7 7 7 8 9 8 9 8 7 7 7 8 8 5 8 8\n8 8 5 8 8 5 5 5 8 7 8 7 8 8 9 8 8 7 8 7 8 5 5 5 8\n8 5 8 5 8 8 5 8 8 7 7 7 8 9 8 9 8 7 7 7 8 8 5 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n\nExample 3:\n\nInput:\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 5 5 5 8 8 5 8 8 5 5 5 8 5 8 5 8 5 5 5 8 8 5 8 8\n8 8 5 8 8 5 5 5 8 8 5 8 8 5 5 5 8 5 5 5 8 5 5 5 8\n8 5 5 5 8 8 5 8 8 5 5 5 8 5 8 5 8 5 5 5 8 8 5 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 5 8 8 8 8 8 8 8 8 8 8 8 5 8 8 8 8 8 8 5 5 5 8\n8 5 5 5 8 8 5 8 8 8 5 8 8 5 5 5 8 8 5 8 8 8 5 8 8\n8 8 5 8 8 8 8 8 8 8 8 8 8 8 5 8 8 8 8 8 8 5 5 5 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 5 5 5 8 5 8 5 8 8 8 8 8 5 5 5 8 5 8 5 8 5 5 5 8\n8 5 5 5 8 5 5 5 8 8 5 8 8 5 5 5 8 5 5 5 8 5 5 5 8\n8 5 5 5 8 5 8 5 8 8 8 8 8 5 5 5 8 5 8 5 8 5 5 5 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 5 8 5 8 8 5 8 8 5 5 5 8 8 7 8 8 5 5 5 8 5 5 5 8\n8 5 5 5 8 5 5 5 8 5 5 5 8 7 7 7 8 8 5 8 8 5 8 5 8\n8 5 8 5 8 8 5 8 8 5 5 5 8 8 7 8 8 5 5 5 8 5 5 5 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\nOutput:\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 5 5 5 8 8 7 8 8 9 9 9 8 9 8 9 8 9 9 9 8 8 7 8 8\n8 8 5 8 8 7 7 7 8 8 9 8 8 9 9 9 8 9 9 9 8 7 7 7 8\n8 5 5 5 8 8 7 8 8 9 9 9 8 9 8 9 8 9 9 9 8 8 7 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 7 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 5 5 5 8\n8 7 7 7 8 8 9 8 8 8 9 8 8 7 7 7 8 8 5 8 8 8 5 8 8\n8 8 7 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 5 5 5 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 5 5 5 8 9 8 9 8 8 8 8 8 9 9 9 8 5 8 5 8 5 5 5 8\n8 5 5 5 8 9 9 9 8 8 5 8 8 9 9 9 8 5 5 5 8 5 5 5 8\n8 5 5 5 8 9 8 9 8 8 8 8 8 9 9 9 8 5 8 5 8 5 5 5 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 5 8 5 8 8 7 8 8 9 9 9 8 8 7 8 8 5 5 5 8 5 5 5 8\n8 5 5 5 8 7 7 7 8 9 9 9 8 7 7 7 8 8 5 8 8 5 8 5 8\n8 5 8 5 8 8 7 8 8 9 9 9 8 8 7 8 8 5 5 5 8 5 5 5 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 5 8 8 8 8 5 8 5 5 5 8 8 5 8 8 8 5 5 8 8 8 5 8\n8 5 5 5 8 5 5 8 8 5 8 5 8 5 5 5 8 8 5 8 8 5 5 8 8\n8 8 5 8 8 8 5 8 8 5 5 5 8 8 5 8 8 5 5 8 8 8 5 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 5 5 5 8 8 5 8 8 8 8 5 8 8 8 8 8 8 5 8 8 8 8 8 8\n8 8 5 8 8 5 5 5 8 5 5 8 8 8 5 8 8 5 5 5 8 8 5 8 8\n8 5 5 5 8 8 5 8 8 8 5 8 8 8 8 8 8 8 5 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 5 5 8 5 5 5 8 5 5 5 8 5 5 5 8 5 5 5 8 5 5 5 8\n8 8 5 8 8 8 5 8 8 5 8 5 8 8 5 8 8 8 5 8 8 5 8 5 8\n8 5 5 8 8 5 5 5 8 5 5 5 8 5 5 5 8 5 5 5 8 5 5 5 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 5 5 5 8 8 8 7 8 5 5 5 8 8 8 8 8 8 5 8 8 8 8 5 8\n8 5 8 5 8 7 7 8 8 8 5 8 8 8 5 8 8 5 5 5 8 5 5 8 8\n8 5 5 5 8 8 7 8 8 5 5 5 8 8 8 8 8 8 5 8 8 8 5 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n", "answer": "8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 5 8 8 8 8 7 8 9 9 9 8 8 9 8 8 8 9 9 8 8 8 7 8\n8 5 5 5 8 7 7 8 8 9 8 9 8 9 9 9 8 8 9 8 8 7 7 8 8\n8 8 5 8 8 8 7 8 8 9 9 9 8 8 9 8 8 9 9 8 8 8 7 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 5 5 5 8 8 9 8 8 8 8 7 8 8 8 8 8 8 5 8 8 8 8 8 8\n8 8 5 8 8 9 9 9 8 7 7 8 8 8 5 8 8 5 5 5 8 8 9 8 8\n8 5 5 5 8 8 9 8 8 8 7 8 8 8 8 8 8 8 5 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 5 5 8 9 9 9 8 5 5 5 8 5 5 5 8 5 5 5 8 9 9 9 8\n8 8 5 8 8 8 9 8 8 5 8 5 8 8 5 8 8 8 5 8 8 9 8 9 8\n8 5 5 8 8 9 9 9 8 5 5 5 8 5 5 5 8 5 5 5 8 9 9 9 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 5 5 5 8 8 8 7 8 9 9 9 8 8 8 8 8 8 9 8 8 8 8 7 8\n8 5 8 5 8 7 7 8 8 8 9 8 8 8 9 8 8 9 9 9 8 7 7 8 8\n8 5 5 5 8 8 7 8 8 9 9 9 8 8 8 8 8 8 9 8 8 8 7 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8", "metadata": {"source_dataset": "arc_agi", "source_index": 256, "input": [[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 5, 8, 8, 8, 8, 5, 8, 5, 5, 5, 8, 8, 5, 8, 8, 8, 5, 5, 8, 8, 8, 5, 8], [8, 5, 5, 5, 8, 5, 5, 8, 8, 5, 8, 5, 8, 5, 5, 5, 8, 8, 5, 8, 8, 5, 5, 8, 8], [8, 8, 5, 8, 8, 8, 5, 8, 8, 5, 5, 5, 8, 8, 5, 8, 8, 5, 5, 8, 8, 8, 5, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 5, 5, 5, 8, 8, 5, 8, 8, 8, 8, 5, 8, 8, 8, 8, 8, 8, 5, 8, 8, 8, 8, 8, 8], [8, 8, 5, 8, 8, 5, 5, 5, 8, 5, 5, 8, 8, 8, 5, 8, 8, 5, 5, 5, 8, 8, 5, 8, 8], [8, 5, 5, 5, 8, 8, 5, 8, 8, 8, 5, 8, 8, 8, 8, 8, 8, 8, 5, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 5, 5, 8, 5, 5, 5, 8, 5, 5, 5, 8, 5, 5, 5, 8, 5, 5, 5, 8, 5, 5, 5, 8], [8, 8, 5, 8, 8, 8, 5, 8, 8, 5, 8, 5, 8, 8, 5, 8, 8, 8, 5, 8, 8, 5, 8, 5, 8], [8, 5, 5, 8, 8, 5, 5, 5, 8, 5, 5, 5, 8, 5, 5, 5, 8, 5, 5, 5, 8, 5, 5, 5, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 5, 5, 5, 8, 8, 8, 7, 8, 5, 5, 5, 8, 8, 8, 8, 8, 8, 5, 8, 8, 8, 8, 5, 8], [8, 5, 8, 5, 8, 7, 7, 8, 8, 8, 5, 8, 8, 8, 5, 8, 8, 5, 5, 5, 8, 5, 5, 8, 8], [8, 5, 5, 5, 8, 8, 7, 8, 8, 5, 5, 5, 8, 8, 8, 8, 8, 8, 5, 8, 8, 8, 5, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]], "output": [[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 5, 8, 8, 8, 8, 7, 8, 9, 9, 9, 8, 8, 9, 8, 8, 8, 9, 9, 8, 8, 8, 7, 8], [8, 5, 5, 5, 8, 7, 7, 8, 8, 9, 8, 9, 8, 9, 9, 9, 8, 8, 9, 8, 8, 7, 7, 8, 8], [8, 8, 5, 8, 8, 8, 7, 8, 8, 9, 9, 9, 8, 8, 9, 8, 8, 9, 9, 8, 8, 8, 7, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 5, 5, 5, 8, 8, 9, 8, 8, 8, 8, 7, 8, 8, 8, 8, 8, 8, 5, 8, 8, 8, 8, 8, 8], [8, 8, 5, 8, 8, 9, 9, 9, 8, 7, 7, 8, 8, 8, 5, 8, 8, 5, 5, 5, 8, 8, 9, 8, 8], [8, 5, 5, 5, 8, 8, 9, 8, 8, 8, 7, 8, 8, 8, 8, 8, 8, 8, 5, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 5, 5, 8, 9, 9, 9, 8, 5, 5, 5, 8, 5, 5, 5, 8, 5, 5, 5, 8, 9, 9, 9, 8], [8, 8, 5, 8, 8, 8, 9, 8, 8, 5, 8, 5, 8, 8, 5, 8, 8, 8, 5, 8, 8, 9, 8, 9, 8], [8, 5, 5, 8, 8, 9, 9, 9, 8, 5, 5, 5, 8, 5, 5, 5, 8, 5, 5, 5, 8, 9, 9, 9, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 5, 5, 5, 8, 8, 8, 7, 8, 9, 9, 9, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8, 8, 7, 8], [8, 5, 8, 5, 8, 7, 7, 8, 8, 8, 9, 8, 8, 8, 9, 8, 8, 9, 9, 9, 8, 7, 7, 8, 8], [8, 5, 5, 5, 8, 8, 7, 8, 8, 9, 9, 9, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8, 7, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]], "task_id": "d94c3b52", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 256, "input": [[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 5, 8, 8, 8, 8, 5, 8, 5, 5, 5, 8, 8, 5, 8, 8, 8, 5, 5, 8, 8, 8, 5, 8], [8, 5, 5, 5, 8, 5, 5, 8, 8, 5, 8, 5, 8, 5, 5, 5, 8, 8, 5, 8, 8, 5, 5, 8, 8], [8, 8, 5, 8, 8, 8, 5, 8, 8, 5, 5, 5, 8, 8, 5, 8, 8, 5, 5, 8, 8, 8, 5, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 5, 5, 5, 8, 8, 5, 8, 8, 8, 8, 5, 8, 8, 8, 8, 8, 8, 5, 8, 8, 8, 8, 8, 8], [8, 8, 5, 8, 8, 5, 5, 5, 8, 5, 5, 8, 8, 8, 5, 8, 8, 5, 5, 5, 8, 8, 5, 8, 8], [8, 5, 5, 5, 8, 8, 5, 8, 8, 8, 5, 8, 8, 8, 8, 8, 8, 8, 5, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 5, 5, 8, 5, 5, 5, 8, 5, 5, 5, 8, 5, 5, 5, 8, 5, 5, 5, 8, 5, 5, 5, 8], [8, 8, 5, 8, 8, 8, 5, 8, 8, 5, 8, 5, 8, 8, 5, 8, 8, 8, 5, 8, 8, 5, 8, 5, 8], [8, 5, 5, 8, 8, 5, 5, 5, 8, 5, 5, 5, 8, 5, 5, 5, 8, 5, 5, 5, 8, 5, 5, 5, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 5, 5, 5, 8, 8, 8, 7, 8, 5, 5, 5, 8, 8, 8, 8, 8, 8, 5, 8, 8, 8, 8, 5, 8], [8, 5, 8, 5, 8, 7, 7, 8, 8, 8, 5, 8, 8, 8, 5, 8, 8, 5, 5, 5, 8, 5, 5, 8, 8], [8, 5, 5, 5, 8, 8, 7, 8, 8, 5, 5, 5, 8, 8, 8, 8, 8, 8, 5, 8, 8, 8, 5, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]], "output": [[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 5, 8, 8, 8, 8, 7, 8, 9, 9, 9, 8, 8, 9, 8, 8, 8, 9, 9, 8, 8, 8, 7, 8], [8, 5, 5, 5, 8, 7, 7, 8, 8, 9, 8, 9, 8, 9, 9, 9, 8, 8, 9, 8, 8, 7, 7, 8, 8], [8, 8, 5, 8, 8, 8, 7, 8, 8, 9, 9, 9, 8, 8, 9, 8, 8, 9, 9, 8, 8, 8, 7, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 5, 5, 5, 8, 8, 9, 8, 8, 8, 8, 7, 8, 8, 8, 8, 8, 8, 5, 8, 8, 8, 8, 8, 8], [8, 8, 5, 8, 8, 9, 9, 9, 8, 7, 7, 8, 8, 8, 5, 8, 8, 5, 5, 5, 8, 8, 9, 8, 8], [8, 5, 5, 5, 8, 8, 9, 8, 8, 8, 7, 8, 8, 8, 8, 8, 8, 8, 5, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 5, 5, 8, 9, 9, 9, 8, 5, 5, 5, 8, 5, 5, 5, 8, 5, 5, 5, 8, 9, 9, 9, 8], [8, 8, 5, 8, 8, 8, 9, 8, 8, 5, 8, 5, 8, 8, 5, 8, 8, 8, 5, 8, 8, 9, 8, 9, 8], [8, 5, 5, 8, 8, 9, 9, 9, 8, 5, 5, 5, 8, 5, 5, 5, 8, 5, 5, 5, 8, 9, 9, 9, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 5, 5, 5, 8, 8, 8, 7, 8, 9, 9, 9, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8, 8, 7, 8], [8, 5, 8, 5, 8, 7, 7, 8, 8, 8, 9, 8, 8, 8, 9, 8, 8, 9, 9, 9, 8, 7, 7, 8, 8], [8, 5, 5, 5, 8, 8, 7, 8, 8, 9, 9, 9, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8, 7, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]], "task_id": "d94c3b52", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null
General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Output: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 3 2 0 0 2 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 2 0 0 3 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 2 0 0 2 2 2 2 2 2 2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Example 2: Input: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Output: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 2 2 2 2 2 2 2 2 0 0 2 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 0 3 0 0 2 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 0 2 0 0 2 2 2 3 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Example 3: Input: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Output: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 3 2 2 0 0 2 0 0 0 0 2 0 0 2 0 0 0 0 2 0 0 2 0 0 0 0 2 0 0 2 0 0 0 0 2 0 0 2 0 0 0 0 2 0 0 2 0 0 0 0 3 0 0 3 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 2 2 2 2 2 2 2 3 2 2 0 0 0\n0 2 0 0 0 0 0 0 0 0 2 0 0 0\n0 2 0 0 0 0 0 0 0 0 2 0 0 0\n0 3 0 0 0 0 0 0 0 0 2 0 0 0\n0 2 0 0 0 0 0 0 0 0 2 0 0 0\n0 2 0 0 0 0 0 0 0 0 2 0 0 0\n0 2 0 0 0 0 0 0 0 0 2 0 0 0\n0 2 0 0 0 0 0 0 0 0 2 0 0 0\n0 2 2 2 2 2 2 2 2 2 3 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 3 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 3 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 3 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\nOutput:\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 2 2 2 2 2 2 3 2 0\n0 2 0 0 0 0 0 0 2 0\n0 2 0 0 0 0 0 0 2 0\n0 2 0 0 0 0 0 0 2 0\n0 2 0 0 0 0 0 0 2 0\n0 2 0 0 0 0 0 0 2 0\n0 3 0 0 0 0 0 0 2 0\n0 2 0 0 0 0 0 0 2 0\n0 2 0 0 0 0 0 0 2 0\n0 2 0 0 0 0 0 0 2 0\n0 2 0 0 0 0 0 0 2 0\n0 2 0 0 0 0 0 0 2 0\n0 2 0 0 0 0 0 0 2 0\n0 2 2 2 2 2 2 2 3 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n\nExample 2:\n\nInput:\n0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0\n0 3 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 3 0\n0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 3 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0\nOutput:\n0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0\n0 3 2 2 2 2 2 2 2 2 0\n0 2 0 0 0 0 0 0 0 2 0\n0 2 0 0 0 0 0 0 0 3 0\n0 2 0 0 0 0 0 0 0 2 0\n0 2 0 0 0 0 0 0 0 2 0\n0 2 0 0 0 0 0 0 0 2 0\n0 2 0 0 0 0 0 0 0 2 0\n0 2 0 0 0 0 0 0 0 2 0\n0 2 2 2 3 2 2 2 2 2 0\n0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0\n\nExample 3:\n\nInput:\n0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0\n0 0 0 0 3 0 0 0\n0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0\n0 0 0 0 0 0 3 0\n0 3 0 0 0 0 0 0\n0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0\nOutput:\n0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0\n0 2 2 2 3 2 2 0\n0 2 0 0 0 0 2 0\n0 2 0 0 0 0 2 0\n0 2 0 0 0 0 2 0\n0 2 0 0 0 0 2 0\n0 2 0 0 0 0 2 0\n0 2 0 0 0 0 3 0\n0 3 2 2 2 2 2 0\n0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 3 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 3 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 3 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0\n", "answer": "0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 2 2 2 2 2 2 2 3 2 2 0 0 0\n0 2 0 0 0 0 0 0 0 0 2 0 0 0\n0 2 0 0 0 0 0 0 0 0 2 0 0 0\n0 3 0 0 0 0 0 0 0 0 2 0 0 0\n0 2 0 0 0 0 0 0 0 0 2 0 0 0\n0 2 0 0 0 0 0 0 0 0 2 0 0 0\n0 2 0 0 0 0 0 0 0 0 2 0 0 0\n0 2 0 0 0 0 0 0 0 0 2 0 0 0\n0 2 2 2 2 2 2 2 2 2 3 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0", "metadata": {"source_dataset": "arc_agi", "source_index": 257, "input": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], "output": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0], [0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], "task_id": "e7639916", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 257, "input": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], "output": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0], [0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], "task_id": "e7639916", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
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General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 4 8 8 8 4 8 8 8 4 8 8 8 4 8 8 8 4 8 4 8 4 8 4 8 4 8 4 8 4 8 4 8 4 8 8 8 4 8 8 8 4 8 8 8 4 8 8 8 4 8 8 Output: 8 8 4 8 8 8 4 8 8 8 4 8 8 8 4 8 8 8 4 8 4 8 4 8 4 8 4 8 4 8 4 8 4 8 4 8 8 8 4 8 8 8 4 8 8 8 4 8 8 8 4 8 4 8 4 8 4 8 4 8 4 8 4 8 4 8 4 8 8 8 4 8 8 8 4 8 8 8 4 8 8 8 4 8 8 8 4 8 4 8 4 8 4 8 4 8 4 8 4 8 4 8 4 8 8 8 4 8 8 8 4 8 8 8 4 8 8 8 4 8 4 8 4 8 4 8 4 8 4 8 4 8 4 8 4 8 8 8 4 8 8 8 4 8 8 8 4 8 8 8 4 8 8 Example 2: Input: 5 8 8 8 5 8 8 8 5 8 8 8 5 8 8 8 5 8 5 8 5 8 5 8 5 8 5 8 5 8 5 8 5 8 8 5 8 5 8 5 8 5 8 5 8 5 8 5 8 5 8 8 8 5 8 8 8 5 8 8 8 5 8 8 8 5 8 8 Output: 8 8 5 8 8 8 5 8 8 8 5 8 8 8 5 8 8 8 5 8 5 8 5 8 5 8 5 8 5 8 5 8 5 8 8 5 8 5 8 5 8 5 8 5 8 5 8 5 8 5 8 5 8 8 8 5 8 8 8 5 8 8 8 5 8 8 8 5 8 5 8 5 8 5 8 5 8 5 8 5 8 5 8 5 8 8 5 8 5 8 5 8 5 8 5 8 5 8 5 8 5 8 8 8 5 8 8 8 5 8 8 8 5 8 8 8 5 8 8 8 5 8 5 8 5 8 5 8 5 8 5 8 5 8 5 8 8 5 8 5 8 5 8 5 8 5 8 5 8 5 8 5 8 5 8 8 8 5 8 8 8 5 8 8 8 5 8 8 8 5 8 5 8 5 8 5 8 5 8 5 8 5 8 5 8 5 8 8 5 8 5 8 5 8 5 8 5 8 5 8 5 8 5 8 8 8 5 8 8 8 5 8 8 8 5 8 8 8 5 8 8 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 7 8 8 8 7 8 8 8 7 8 8 8 7 8 8 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 8 8 7 8 8 8 7 8 8 8 7 8 8 8 7 8 8
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "8 8 7 8 8 8 7 8 8 8 7 8 8 8 7 8 8\n8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8\n8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8\n8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8\n7 8 8 8 7 8 8 8 7 8 8 8 7 8 8 8 7\n8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8\n8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8\n8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8\n8 8 7 8 8 8 7 8 8 8 7 8 8 8 7 8 8\n8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8\n8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8\n8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8\n7 8 8 8 7 8 8 8 7 8 8 8 7 8 8 8 7\n8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8\n8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8\n8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8\n8 8 7 8 8 8 7 8 8 8 7 8 8 8 7 8 8", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n4 8 8 8 4 8 8 8 4 8 8 8 4 8 8 8 4\n8 4 8 4 8 4 8 4 8 4 8 4 8 4 8 4 8\n8 8 4 8 8 8 4 8 8 8 4 8 8 8 4 8 8\nOutput:\n8 8 4 8 8 8 4 8 8 8 4 8 8 8 4 8 8\n8 4 8 4 8 4 8 4 8 4 8 4 8 4 8 4 8\n4 8 8 8 4 8 8 8 4 8 8 8 4 8 8 8 4\n8 4 8 4 8 4 8 4 8 4 8 4 8 4 8 4 8\n8 8 4 8 8 8 4 8 8 8 4 8 8 8 4 8 8\n8 4 8 4 8 4 8 4 8 4 8 4 8 4 8 4 8\n4 8 8 8 4 8 8 8 4 8 8 8 4 8 8 8 4\n8 4 8 4 8 4 8 4 8 4 8 4 8 4 8 4 8\n8 8 4 8 8 8 4 8 8 8 4 8 8 8 4 8 8\n\nExample 2:\n\nInput:\n5 8 8 8 5 8 8 8 5 8 8 8 5 8 8 8 5\n8 5 8 5 8 5 8 5 8 5 8 5 8 5 8 5 8\n8 5 8 5 8 5 8 5 8 5 8 5 8 5 8 5 8\n8 8 5 8 8 8 5 8 8 8 5 8 8 8 5 8 8\nOutput:\n8 8 5 8 8 8 5 8 8 8 5 8 8 8 5 8 8\n8 5 8 5 8 5 8 5 8 5 8 5 8 5 8 5 8\n8 5 8 5 8 5 8 5 8 5 8 5 8 5 8 5 8\n5 8 8 8 5 8 8 8 5 8 8 8 5 8 8 8 5\n8 5 8 5 8 5 8 5 8 5 8 5 8 5 8 5 8\n8 5 8 5 8 5 8 5 8 5 8 5 8 5 8 5 8\n8 8 5 8 8 8 5 8 8 8 5 8 8 8 5 8 8\n8 5 8 5 8 5 8 5 8 5 8 5 8 5 8 5 8\n8 5 8 5 8 5 8 5 8 5 8 5 8 5 8 5 8\n5 8 8 8 5 8 8 8 5 8 8 8 5 8 8 8 5\n8 5 8 5 8 5 8 5 8 5 8 5 8 5 8 5 8\n8 5 8 5 8 5 8 5 8 5 8 5 8 5 8 5 8\n8 8 5 8 8 8 5 8 8 8 5 8 8 8 5 8 8\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n7 8 8 8 7 8 8 8 7 8 8 8 7 8 8 8 7\n8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8\n8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8\n8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8\n8 8 7 8 8 8 7 8 8 8 7 8 8 8 7 8 8\n", "answer": "8 8 7 8 8 8 7 8 8 8 7 8 8 8 7 8 8\n8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8\n8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8\n8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8\n7 8 8 8 7 8 8 8 7 8 8 8 7 8 8 8 7\n8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8\n8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8\n8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8\n8 8 7 8 8 8 7 8 8 8 7 8 8 8 7 8 8\n8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8\n8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8\n8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8\n7 8 8 8 7 8 8 8 7 8 8 8 7 8 8 8 7\n8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8\n8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8\n8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8\n8 8 7 8 8 8 7 8 8 8 7 8 8 8 7 8 8", "metadata": {"source_dataset": "arc_agi", "source_index": 258, "input": [[7, 8, 8, 8, 7, 8, 8, 8, 7, 8, 8, 8, 7, 8, 8, 8, 7], [8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8], [8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8], [8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8], [8, 8, 7, 8, 8, 8, 7, 8, 8, 8, 7, 8, 8, 8, 7, 8, 8]], "output": [[8, 8, 7, 8, 8, 8, 7, 8, 8, 8, 7, 8, 8, 8, 7, 8, 8], [8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8], [8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8], [8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8], [7, 8, 8, 8, 7, 8, 8, 8, 7, 8, 8, 8, 7, 8, 8, 8, 7], [8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8], [8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8], [8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8], [8, 8, 7, 8, 8, 8, 7, 8, 8, 8, 7, 8, 8, 8, 7, 8, 8], [8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8], [8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8], [8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8], [7, 8, 8, 8, 7, 8, 8, 8, 7, 8, 8, 8, 7, 8, 8, 8, 7], [8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8], [8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8], [8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8], [8, 8, 7, 8, 8, 8, 7, 8, 8, 8, 7, 8, 8, 8, 7, 8, 8]], "task_id": "eb281b96", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 258, "input": [[7, 8, 8, 8, 7, 8, 8, 8, 7, 8, 8, 8, 7, 8, 8, 8, 7], [8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8], [8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8], [8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8], [8, 8, 7, 8, 8, 8, 7, 8, 8, 8, 7, 8, 8, 8, 7, 8, 8]], "output": [[8, 8, 7, 8, 8, 8, 7, 8, 8, 8, 7, 8, 8, 8, 7, 8, 8], [8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8], [8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8], [8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8], [7, 8, 8, 8, 7, 8, 8, 8, 7, 8, 8, 8, 7, 8, 8, 8, 7], [8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8], [8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8], [8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8], [8, 8, 7, 8, 8, 8, 7, 8, 8, 8, 7, 8, 8, 8, 7, 8, 8], [8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8], [8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8], [8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8], [7, 8, 8, 8, 7, 8, 8, 8, 7, 8, 8, 8, 7, 8, 8, 8, 7], [8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8], [8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8], [8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8], [8, 8, 7, 8, 8, 8, 7, 8, 8, 8, 7, 8, 8, 8, 7, 8, 8]], "task_id": "eb281b96", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
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General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 6 7 6 6 7 6 5 3 3 6 3 3 6 6 6 7 6 6 7 5 6 6 3 6 6 6 6 6 7 6 7 7 5 3 6 3 6 6 3 7 6 7 7 6 6 5 3 3 3 6 3 6 Output: 6 6 1 6 6 1 1 1 6 1 1 6 6 1 6 1 6 6 6 6 6 6 6 1 Example 2: Input: 7 7 7 6 6 7 5 3 6 6 6 3 3 7 6 7 7 7 6 5 6 3 6 6 3 6 6 7 6 6 7 6 5 3 6 6 6 6 3 7 7 6 7 6 7 5 3 6 6 3 6 6 Output: 6 6 6 1 6 6 6 6 6 6 6 1 6 6 1 1 6 6 6 6 1 6 1 6 Example 3: Input: 7 6 7 7 6 7 5 3 3 3 6 3 6 7 7 7 6 6 7 5 3 6 3 6 3 6 6 7 6 6 6 6 5 3 3 6 6 6 3 6 6 6 6 7 6 5 3 3 6 6 6 6 Output: 6 6 6 6 6 6 6 6 6 1 6 6 6 6 1 1 1 6 6 6 1 1 6 1 Example 4: Input: 6 7 6 7 6 6 5 6 6 3 3 6 6 7 6 7 7 6 6 5 3 6 3 3 3 6 7 6 6 7 7 7 5 3 6 3 6 3 3 6 6 7 7 6 7 5 6 6 3 3 3 6 Output: 1 6 6 6 1 1 6 1 6 6 6 1 6 1 6 6 6 6 1 1 6 6 6 6 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 6 6 7 6 7 6 5 3 3 6 3 3 6 6 7 6 7 6 6 5 3 3 6 3 6 6 6 7 6 7 7 6 5 6 3 6 6 3 3 7 6 7 6 7 7 5 3 6 6 3 6 3
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "6 6 6 6 6 1\n6 6 1 6 1 1\n1 6 1 6 6 6\n6 1 6 6 6 6", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n6 7 6 6 7 6 5 3 3 6 3 3 6\n6 6 7 6 6 7 5 6 6 3 6 6 6\n6 6 7 6 7 7 5 3 6 3 6 6 3\n7 6 7 7 6 6 5 3 3 3 6 3 6\nOutput:\n6 6 1 6 6 1\n1 1 6 1 1 6\n6 1 6 1 6 6\n6 6 6 6 6 1\n\nExample 2:\n\nInput:\n7 7 7 6 6 7 5 3 6 6 6 3 3\n7 6 7 7 7 6 5 6 3 6 6 3 6\n6 7 6 6 7 6 5 3 6 6 6 6 3\n7 7 6 7 6 7 5 3 6 6 3 6 6\nOutput:\n6 6 6 1 6 6\n6 6 6 6 6 1\n6 6 1 1 6 6\n6 6 1 6 1 6\n\nExample 3:\n\nInput:\n7 6 7 7 6 7 5 3 3 3 6 3 6\n7 7 7 6 6 7 5 3 6 3 6 3 6\n6 7 6 6 6 6 5 3 3 6 6 6 3\n6 6 6 6 7 6 5 3 3 6 6 6 6\nOutput:\n6 6 6 6 6 6\n6 6 6 1 6 6\n6 6 1 1 1 6\n6 6 1 1 6 1\n\nExample 4:\n\nInput:\n6 7 6 7 6 6 5 6 6 3 3 6 6\n7 6 7 7 6 6 5 3 6 3 3 3 6\n7 6 6 7 7 7 5 3 6 3 6 3 3\n6 6 7 7 6 7 5 6 6 3 3 3 6\nOutput:\n1 6 6 6 1 1\n6 1 6 6 6 1\n6 1 6 6 6 6\n1 1 6 6 6 6\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n6 6 7 6 7 6 5 3 3 6 3 3 6\n6 7 6 7 6 6 5 3 3 6 3 6 6\n6 7 6 7 7 6 5 6 3 6 6 3 3\n7 6 7 6 7 7 5 3 6 6 3 6 3\n", "answer": "6 6 6 6 6 1\n6 6 1 6 1 1\n1 6 1 6 6 6\n6 1 6 6 6 6", "metadata": {"source_dataset": "arc_agi", "source_index": 259, "input": [[6, 6, 7, 6, 7, 6, 5, 3, 3, 6, 3, 3, 6], [6, 7, 6, 7, 6, 6, 5, 3, 3, 6, 3, 6, 6], [6, 7, 6, 7, 7, 6, 5, 6, 3, 6, 6, 3, 3], [7, 6, 7, 6, 7, 7, 5, 3, 6, 6, 3, 6, 3]], "output": [[6, 6, 6, 6, 6, 1], [6, 6, 1, 6, 1, 1], [1, 6, 1, 6, 6, 6], [6, 1, 6, 6, 6, 6]], "task_id": "0c9aba6e", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 259, "input": [[6, 6, 7, 6, 7, 6, 5, 3, 3, 6, 3, 3, 6], [6, 7, 6, 7, 6, 6, 5, 3, 3, 6, 3, 6, 6], [6, 7, 6, 7, 7, 6, 5, 6, 3, 6, 6, 3, 3], [7, 6, 7, 6, 7, 7, 5, 3, 6, 6, 3, 6, 3]], "output": [[6, 6, 6, 6, 6, 1], [6, 6, 1, 6, 1, 1], [1, 6, 1, 6, 6, 6], [6, 1, 6, 6, 6, 6]], "task_id": "0c9aba6e", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null
General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 0 0 0 0 6 6 6 6 6 6 0 6 6 0 6 6 6 6 6 6 0 0 0 0 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 Output: 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 1 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 Example 2: Input: 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 0 0 6 6 6 6 6 6 6 6 6 6 6 6 6 0 0 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 0 0 0 0 0 6 6 6 6 6 6 6 6 6 6 0 6 6 6 0 6 6 6 6 6 6 6 6 6 6 0 6 6 6 0 6 6 6 6 6 6 6 6 6 6 0 6 6 6 0 6 6 6 6 6 6 6 6 6 6 0 0 0 0 0 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 Output: 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 1 1 1 6 6 6 6 6 6 6 6 6 6 6 6 1 1 1 6 6 6 6 6 6 6 6 6 6 6 6 1 1 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 Example 3: Input: 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 0 0 0 0 0 6 6 6 6 6 0 6 6 6 0 6 6 6 6 6 0 6 6 6 0 6 6 6 6 6 0 0 0 0 0 6 6 6 6 6 6 6 6 6 6 6 0 0 0 6 6 6 6 6 6 6 0 6 0 6 6 6 6 6 6 6 0 0 0 6 6 6 6 6 6 6 6 6 6 6 Output: 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 1 1 1 6 6 6 6 6 6 6 1 1 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 6 6 6 6 6 6 6 6 6 6 0 0 0 0 0 0 6 6 6 6 0 6 6 6 6 0 6 6 6 6 0 6 6 6 6 0 6 6 6 6 0 6 6 6 6 0 6 6 6 6 0 6 6 6 6 0 6 6 6 6 0 6 6 6 6 0 6 6 6 6 0 6 6 6 6 0 6 0 0 0 0 0 0 0 0 0 6 0 6 0 6 6 6 6 6 6 6 0 0 0
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 1 1 1 1 6 6 6 6 6\n6 1 1 1 1 6 6 6 6 6\n6 1 1 1 1 6 6 6 6 6\n6 1 1 1 1 6 6 6 6 6\n6 1 1 1 1 6 6 6 6 6\n6 1 1 1 1 6 6 6 6 6\n6 6 6 6 6 6 6 6 1 6\n6 6 6 6 6 6 6 6 6 6", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 0 0 0 0 6\n6 6 6 6 6 0 6 6 0 6\n6 6 6 6 6 0 0 0 0 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\nOutput:\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 1 1 6 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n\nExample 2:\n\nInput:\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 0 0 6 6 6 6 6 6 6\n6 6 6 6 6 6 0 0 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 0 0 0 0 0 6\n6 6 6 6 6 6 6 6 6 0 6 6 6 0 6\n6 6 6 6 6 6 6 6 6 0 6 6 6 0 6\n6 6 6 6 6 6 6 6 6 0 6 6 6 0 6\n6 6 6 6 6 6 6 6 6 0 0 0 0 0 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\nOutput:\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 1 1 1 6 6\n6 6 6 6 6 6 6 6 6 6 1 1 1 6 6\n6 6 6 6 6 6 6 6 6 6 1 1 1 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n\nExample 3:\n\nInput:\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n0 0 0 0 0 6 6 6 6 6\n0 6 6 6 0 6 6 6 6 6\n0 6 6 6 0 6 6 6 6 6\n0 0 0 0 0 6 6 6 6 6\n6 6 6 6 6 6 0 0 0 6\n6 6 6 6 6 6 0 6 0 6\n6 6 6 6 6 6 0 0 0 6\n6 6 6 6 6 6 6 6 6 6\nOutput:\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 1 1 1 6 6 6 6 6 6\n6 1 1 1 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 1 6 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n6 6 6 6 6 6 6 6 6 6\n0 0 0 0 0 0 6 6 6 6\n0 6 6 6 6 0 6 6 6 6\n0 6 6 6 6 0 6 6 6 6\n0 6 6 6 6 0 6 6 6 6\n0 6 6 6 6 0 6 6 6 6\n0 6 6 6 6 0 6 6 6 6\n0 6 6 6 6 0 6 0 0 0\n0 0 0 0 0 0 6 0 6 0\n6 6 6 6 6 6 6 0 0 0\n", "answer": "6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 1 1 1 1 6 6 6 6 6\n6 1 1 1 1 6 6 6 6 6\n6 1 1 1 1 6 6 6 6 6\n6 1 1 1 1 6 6 6 6 6\n6 1 1 1 1 6 6 6 6 6\n6 1 1 1 1 6 6 6 6 6\n6 6 6 6 6 6 6 6 1 6\n6 6 6 6 6 6 6 6 6 6", "metadata": {"source_dataset": "arc_agi", "source_index": 260, "input": [[6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 6, 6, 6, 6], [0, 6, 6, 6, 6, 0, 6, 6, 6, 6], [0, 6, 6, 6, 6, 0, 6, 6, 6, 6], [0, 6, 6, 6, 6, 0, 6, 6, 6, 6], [0, 6, 6, 6, 6, 0, 6, 6, 6, 6], [0, 6, 6, 6, 6, 0, 6, 6, 6, 6], [0, 6, 6, 6, 6, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 6, 0], [6, 6, 6, 6, 6, 6, 6, 0, 0, 0]], "output": [[6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 1, 1, 1, 1, 6, 6, 6, 6, 6], [6, 1, 1, 1, 1, 6, 6, 6, 6, 6], [6, 1, 1, 1, 1, 6, 6, 6, 6, 6], [6, 1, 1, 1, 1, 6, 6, 6, 6, 6], [6, 1, 1, 1, 1, 6, 6, 6, 6, 6], [6, 1, 1, 1, 1, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 1, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6]], "task_id": "d5d6de2d", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 260, "input": [[6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 6, 6, 6, 6], [0, 6, 6, 6, 6, 0, 6, 6, 6, 6], [0, 6, 6, 6, 6, 0, 6, 6, 6, 6], [0, 6, 6, 6, 6, 0, 6, 6, 6, 6], [0, 6, 6, 6, 6, 0, 6, 6, 6, 6], [0, 6, 6, 6, 6, 0, 6, 6, 6, 6], [0, 6, 6, 6, 6, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 6, 0], [6, 6, 6, 6, 6, 6, 6, 0, 0, 0]], "output": [[6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 1, 1, 1, 1, 6, 6, 6, 6, 6], [6, 1, 1, 1, 1, 6, 6, 6, 6, 6], [6, 1, 1, 1, 1, 6, 6, 6, 6, 6], [6, 1, 1, 1, 1, 6, 6, 6, 6, 6], [6, 1, 1, 1, 1, 6, 6, 6, 6, 6], [6, 1, 1, 1, 1, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 1, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6]], "task_id": "d5d6de2d", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null
General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 2 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 2 7 7 7 7 7 7 2 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 2 7 7 8 7 7 7 7 7 7 7 7 7 7 7 2 7 8 7 7 7 7 7 7 7 7 2 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 2 7 7 8 7 7 2 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 2 7 2 7 2 7 7 7 7 7 7 7 7 7 7 Output: 7 7 7 7 7 7 7 2 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 2 7 7 7 7 7 7 7 7 7 7 7 2 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 2 8 7 7 7 7 7 7 7 7 7 7 7 7 2 8 7 7 7 7 7 7 7 7 7 7 7 7 2 8 7 7 7 7 7 7 7 7 7 7 7 7 2 8 2 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 Example 2: Input: 7 7 7 7 1 7 7 1 7 7 7 7 7 7 7 1 7 7 7 1 7 7 7 7 7 7 7 7 7 7 1 7 7 7 7 7 7 7 7 1 7 7 7 7 7 7 7 1 7 7 7 7 7 7 7 1 7 7 7 1 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 1 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 1 7 1 7 1 7 7 7 7 7 7 1 7 7 7 7 7 1 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 Output: 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 1 7 7 1 7 1 7 8 8 8 8 7 7 8 8 8 7 1 7 1 7 7 7 7 7 1 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 Example 3: Input: 7 7 7 7 7 7 7 5 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 5 7 7 7 7 5 7 7 7 7 7 7 7 7 7 7 7 5 7 7 7 7 7 7 7 7 7 7 7 7 7 5 7 7 7 7 7 7 7 7 7 7 7 7 7 7 5 5 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 5 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 5 7 7 7 7 7 7 5 7 7 7 7 7 7 7 7 5 7 7 7 7 7 7 5 7 7 7 7 7 7 7 7 5 7 7 7 7 7 7 7 7 7 7 7 Output: 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 5 7 7 5 5 7 7 5 5 5 8 8 8 8 8 8 8 8 8 8 7 7 5 5 7 7 5 5 5 5 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 7 7 3 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 3 7 7 8 7 7 7 7 7 7 7 3 7 3 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 3 7 7 7 3 7 7 3 7 7 7 7 8 7 3 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 3 7 7 7 7 7 7 3 7 7 7 7 7 3 7 7 7 7 3 3 7 7 7 7 3 7 8 7 7 7 7 7 7 7
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "7 7 7 7 7 7 3 8 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 8 7 7 7 7 7 7 7\n7 7 7 7 7 7 3 8 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 3 8 3 7 7 7 7 7 7\n7 7 7 7 7 7 7 8 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 8 3 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 3 8 7 7 7 7 7 7 7", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n2 7 7 7 7 7 7 7 8 7 7 7 7 7\n7 7 7 7 7 7 7 7 8 7 7 7 7 2\n7 7 7 7 7 7 2 7 8 7 7 7 7 7\n7 7 7 7 7 7 7 7 8 7 7 7 7 7\n7 7 7 7 7 7 7 7 8 7 7 7 7 7\n7 7 7 7 7 2 7 7 8 7 7 7 7 7\n7 7 7 7 7 7 2 7 8 7 7 7 7 7\n7 7 7 2 7 7 7 7 8 7 7 7 7 7\n7 7 7 7 7 2 7 7 8 7 7 2 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 2\n7 2 7 2 7 7 7 7 7 7 7 7 7 7\nOutput:\n7 7 7 7 7 7 7 2 8 7 7 7 7 7\n7 7 7 7 7 7 7 7 8 2 7 7 7 7\n7 7 7 7 7 7 7 2 8 7 7 7 7 7\n7 7 7 7 7 7 7 7 8 7 7 7 7 7\n7 7 7 7 7 7 7 7 8 7 7 7 7 7\n7 7 7 7 7 7 7 2 8 7 7 7 7 7\n7 7 7 7 7 7 7 2 8 7 7 7 7 7\n7 7 7 7 7 7 7 2 8 7 7 7 7 7\n7 7 7 7 7 7 7 2 8 2 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7\n\nExample 2:\n\nInput:\n7 7 7 7 1 7 7 1 7 7\n7 7 7 7 7 1 7 7 7 1\n7 7 7 7 7 7 7 7 7 7\n1 7 7 7 7 7 7 7 7 1\n7 7 7 7 7 7 7 1 7 7\n7 7 7 7 7 1 7 7 7 1\n7 7 7 7 7 7 7 7 7 7\n7 8 8 8 8 7 7 8 8 8\n7 7 7 7 7 7 7 7 7 7\n1 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 1\n7 1 7 1 7 7 7 7 7 7\n1 7 7 7 7 7 1 7 7 7\n7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7\nOutput:\n7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7\n7 7 7 7 1 7 7 1 7 1\n7 8 8 8 8 7 7 8 8 8\n7 1 7 1 7 7 7 7 7 1\n7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7\n\nExample 3:\n\nInput:\n7 7 7 7 7 7 7 5 7 7\n7 7 7 7 7 7 7 7 7 7\n7 7 7 5 7 7 7 7 5 7\n7 7 7 7 7 7 7 7 7 7\n5 7 7 7 7 7 7 7 7 7\n7 7 7 7 5 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 5\n5 7 7 7 7 7 7 7 7 7\n8 8 8 8 8 8 8 8 8 8\n7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 5 7 7\n7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 5 7 7 7\n7 7 7 5 7 7 7 7 7 7\n7 7 5 7 7 7 7 7 7 5\n7 7 7 7 7 7 7 7 5 7\n7 7 7 7 7 7 7 7 7 7\nOutput:\n7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7\n5 7 7 5 5 7 7 5 5 5\n8 8 8 8 8 8 8 8 8 8\n7 7 5 5 7 7 5 5 5 5\n7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n7 7 3 7 7 7 7 8 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 8 7 7 7 7 7 7 7\n7 7 7 7 3 7 7 8 7 7 7 7 7 7 7\n3 7 3 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 3 7 7 7 3\n7 7 3 7 7 7 7 8 7 3 7 7 7 7 7\n7 7 7 7 7 7 7 8 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 8 7 7 7 3 7 7 7\n7 7 7 3 7 7 7 7 7 3 7 7 7 7 3\n3 7 7 7 7 3 7 8 7 7 7 7 7 7 7\n", "answer": "7 7 7 7 7 7 3 8 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 8 7 7 7 7 7 7 7\n7 7 7 7 7 7 3 8 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 3 8 3 7 7 7 7 7 7\n7 7 7 7 7 7 7 8 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 8 3 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 3 8 7 7 7 7 7 7 7", "metadata": {"source_dataset": "arc_agi", "source_index": 261, "input": [[7, 7, 3, 7, 7, 7, 7, 8, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 3, 7, 7, 8, 7, 7, 7, 7, 7, 7, 7], [3, 7, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 7, 7, 7, 3], [7, 7, 3, 7, 7, 7, 7, 8, 7, 3, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 3, 7, 7, 7], [7, 7, 7, 3, 7, 7, 7, 7, 7, 3, 7, 7, 7, 7, 3], [3, 7, 7, 7, 7, 3, 7, 8, 7, 7, 7, 7, 7, 7, 7]], "output": [[7, 7, 7, 7, 7, 7, 3, 8, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 3, 8, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 3, 8, 3, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 8, 3, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 3, 8, 7, 7, 7, 7, 7, 7, 7]], "task_id": "f83cb3f6", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 261, "input": [[7, 7, 3, 7, 7, 7, 7, 8, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 3, 7, 7, 8, 7, 7, 7, 7, 7, 7, 7], [3, 7, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 7, 7, 7, 3], [7, 7, 3, 7, 7, 7, 7, 8, 7, 3, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 3, 7, 7, 7], [7, 7, 7, 3, 7, 7, 7, 7, 7, 3, 7, 7, 7, 7, 3], [3, 7, 7, 7, 7, 3, 7, 8, 7, 7, 7, 7, 7, 7, 7]], "output": [[7, 7, 7, 7, 7, 7, 3, 8, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 3, 8, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 3, 8, 3, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 8, 3, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 3, 8, 7, 7, 7, 7, 7, 7, 7]], "task_id": "f83cb3f6", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null
General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 0 4 4 0 2 0 0 6 0 2 0 7 0 7 0 4 4 4 2 0 6 6 0 2 7 7 0 7 4 4 4 4 2 0 0 0 6 2 7 7 0 0 4 0 4 0 2 0 0 0 0 2 0 0 0 7 Output: 0 4 4 7 7 4 4 4 4 4 4 4 4 0 4 7 Example 2: Input: 4 0 4 4 2 6 6 6 0 2 0 0 0 7 0 4 0 4 2 0 0 6 6 2 7 0 0 7 0 4 0 4 2 0 0 6 0 2 0 7 0 0 4 4 4 0 2 6 6 0 6 2 0 7 0 7 Output: 4 6 4 4 7 4 6 4 0 4 6 4 4 4 4 6 Example 3: Input: 0 0 0 0 2 0 0 6 0 2 7 0 7 0 4 0 4 4 2 0 0 0 6 2 0 7 0 7 4 4 0 0 2 6 6 0 0 2 7 0 0 0 4 4 4 4 2 6 0 6 0 2 0 0 0 7 Output: 7 0 6 0 4 7 4 4 4 4 0 0 4 4 4 4 Example 4: Input: 0 4 4 4 2 0 6 0 0 2 7 7 7 7 4 0 4 4 2 0 6 6 0 2 7 7 0 7 4 4 0 4 2 6 0 6 0 2 0 0 0 0 0 0 0 4 2 0 0 0 6 2 0 0 0 0 Output: 7 4 4 4 4 6 4 4 4 4 6 4 0 0 0 4 Example 5: Input: 4 4 4 4 2 6 0 6 0 2 7 7 0 7 4 0 0 0 2 0 0 0 0 2 7 7 7 0 0 4 0 0 2 0 0 6 6 2 0 7 0 0 0 4 0 4 2 6 6 0 0 2 0 0 0 0 Output: 4 4 4 4 4 7 7 0 0 4 6 6 6 4 0 4 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 0 4 4 0 2 6 0 6 6 2 7 0 0 0 0 0 0 0 2 0 6 6 6 2 7 7 0 7 4 4 0 4 2 6 6 6 0 2 7 7 7 0 0 0 4 0 2 6 0 6 0 2 7 7 0 0
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "6 4 4 6\n7 6 6 6\n4 4 6 4\n6 7 4 0", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n0 4 4 0 2 0 0 6 0 2 0 7 0 7\n0 4 4 4 2 0 6 6 0 2 7 7 0 7\n4 4 4 4 2 0 0 0 6 2 7 7 0 0\n4 0 4 0 2 0 0 0 0 2 0 0 0 7\nOutput:\n0 4 4 7\n7 4 4 4\n4 4 4 4\n4 0 4 7\n\nExample 2:\n\nInput:\n4 0 4 4 2 6 6 6 0 2 0 0 0 7\n0 4 0 4 2 0 0 6 6 2 7 0 0 7\n0 4 0 4 2 0 0 6 0 2 0 7 0 0\n4 4 4 0 2 6 6 0 6 2 0 7 0 7\nOutput:\n4 6 4 4\n7 4 6 4\n0 4 6 4\n4 4 4 6\n\nExample 3:\n\nInput:\n0 0 0 0 2 0 0 6 0 2 7 0 7 0\n4 0 4 4 2 0 0 0 6 2 0 7 0 7\n4 4 0 0 2 6 6 0 0 2 7 0 0 0\n4 4 4 4 2 6 0 6 0 2 0 0 0 7\nOutput:\n7 0 6 0\n4 7 4 4\n4 4 0 0\n4 4 4 4\n\nExample 4:\n\nInput:\n0 4 4 4 2 0 6 0 0 2 7 7 7 7\n4 0 4 4 2 0 6 6 0 2 7 7 0 7\n4 4 0 4 2 6 0 6 0 2 0 0 0 0\n0 0 0 4 2 0 0 0 6 2 0 0 0 0\nOutput:\n7 4 4 4\n4 6 4 4\n4 4 6 4\n0 0 0 4\n\nExample 5:\n\nInput:\n4 4 4 4 2 6 0 6 0 2 7 7 0 7\n4 0 0 0 2 0 0 0 0 2 7 7 7 0\n0 4 0 0 2 0 0 6 6 2 0 7 0 0\n0 4 0 4 2 6 6 0 0 2 0 0 0 0\nOutput:\n4 4 4 4\n4 7 7 0\n0 4 6 6\n6 4 0 4\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n0 4 4 0 2 6 0 6 6 2 7 0 0 0\n0 0 0 0 2 0 6 6 6 2 7 7 0 7\n4 4 0 4 2 6 6 6 0 2 7 7 7 0\n0 0 4 0 2 6 0 6 0 2 7 7 0 0\n", "answer": "6 4 4 6\n7 6 6 6\n4 4 6 4\n6 7 4 0", "metadata": {"source_dataset": "arc_agi", "source_index": 262, "input": [[0, 4, 4, 0, 2, 6, 0, 6, 6, 2, 7, 0, 0, 0], [0, 0, 0, 0, 2, 0, 6, 6, 6, 2, 7, 7, 0, 7], [4, 4, 0, 4, 2, 6, 6, 6, 0, 2, 7, 7, 7, 0], [0, 0, 4, 0, 2, 6, 0, 6, 0, 2, 7, 7, 0, 0]], "output": [[6, 4, 4, 6], [7, 6, 6, 6], [4, 4, 6, 4], [6, 7, 4, 0]], "task_id": "cf98881b", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 262, "input": [[0, 4, 4, 0, 2, 6, 0, 6, 6, 2, 7, 0, 0, 0], [0, 0, 0, 0, 2, 0, 6, 6, 6, 2, 7, 7, 0, 7], [4, 4, 0, 4, 2, 6, 6, 6, 0, 2, 7, 7, 7, 0], [0, 0, 4, 0, 2, 6, 0, 6, 0, 2, 7, 7, 0, 0]], "output": [[6, 4, 4, 6], [7, 6, 6, 6], [4, 4, 6, 4], [6, 7, 4, 0]], "task_id": "cf98881b", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null
General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 3 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 9 9 9 9 9 3 9 9 9 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 0 0 3 0 0 1 1 1 3 1 1 1 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 8 3 3 3 3 3 3 3 3 2 3 3 3 3 3 8 3 3 3 3 3 3 3 3 2 3 3 3 3 3 8 3 3 3 3 3 3 3 3 2 3 3 3 3 3 8 3 3 3 Output: 3 3 3 3 3 9 3 3 3 3 3 5 3 3 3 3 3 3 3 3 9 3 3 3 3 3 5 3 3 3 3 3 3 3 3 9 3 3 3 3 3 5 3 3 3 3 3 3 3 3 9 3 3 5 5 5 5 5 5 5 3 3 3 3 3 9 3 3 3 3 3 1 3 3 3 3 3 3 3 3 9 3 3 3 3 3 1 3 3 3 9 9 9 9 9 9 9 9 9 3 3 1 3 3 3 3 3 3 3 3 0 3 3 3 3 3 1 3 3 3 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 3 3 3 3 3 2 3 3 3 3 3 8 3 3 3 3 3 3 3 3 2 3 3 3 3 3 8 3 3 3 3 3 3 3 3 2 3 3 3 3 3 8 3 3 3 3 3 3 3 3 2 3 3 3 3 3 8 3 3 3 3 3 3 3 3 2 3 3 3 3 3 8 3 3 3 3 3 3 3 3 2 3 3 3 3 3 8 3 3 3 Example 2: Input: 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 0 0 3 0 0 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 6 6 6 6 3 6 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 9 9 9 9 9 3 9 9 9 9 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 3 2 2 2 7 7 7 7 3 7 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 3 3 3 3 3 3 3 8 3 Output: 3 3 3 3 3 0 3 3 3 3 3 3 3 6 3 3 3 3 3 3 0 3 3 3 3 3 3 3 6 3 0 0 0 0 0 0 0 0 0 3 3 3 3 6 3 3 3 3 3 3 9 3 3 3 6 6 6 6 6 6 3 3 3 3 3 9 3 3 3 3 3 3 3 5 3 9 9 9 9 9 9 9 9 9 9 3 3 3 5 3 3 3 3 3 3 2 3 3 3 3 3 3 3 5 3 3 3 3 3 3 2 3 3 3 3 3 3 3 5 3 3 3 3 3 3 2 3 3 3 5 5 5 5 5 5 3 3 3 3 3 2 3 3 3 3 3 3 3 7 3 3 3 3 3 3 2 3 3 3 3 3 3 3 7 3 2 2 2 2 2 2 2 2 2 7 7 7 7 7 7 3 3 3 3 3 8 3 3 3 3 3 3 3 8 3 3 3 3 3 3 8 3 3 3 3 3 3 3 8 3 3 3 3 3 3 8 3 3 3 3 3 3 3 8 3 Example 3: Input: 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 3 5 4 4 4 4 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 1 3 3 3 3 3 5 3 3 3 3 3 3 3 3 1 3 3 3 3 3 5 3 3 3 3 3 3 3 3 1 3 3 3 3 3 5 3 3 3 Output: 3 3 3 3 3 5 3 3 3 3 3 4 3 3 3 3 3 3 3 3 5 3 3 3 3 3 4 3 3 3 3 3 3 3 3 5 3 3 3 3 3 4 3 3 3 3 3 3 3 3 5 3 3 3 3 3 4 3 3 3 3 3 3 3 3 5 3 3 3 3 3 4 3 3 3 3 3 3 3 3 5 3 3 3 3 3 4 3 3 3 3 3 3 3 3 5 3 3 3 3 3 4 3 3 3 3 3 3 3 3 5 3 3 3 3 3 4 3 3 3 3 3 3 3 3 5 3 3 3 3 3 4 3 3 3 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 1 3 3 3 3 3 5 3 3 3 3 3 3 3 3 1 3 3 3 3 3 5 3 3 3 3 3 3 3 3 1 3 3 3 3 3 5 3 3 3 3 3 3 3 3 1 3 3 3 3 3 5 3 3 3 3 3 3 3 3 1 3 3 3 3 3 5 3 3 3 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 4 4 2 2 2 2 2 2 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 3 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 7 7 7 7 7 3 7 7 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 1 1 1 1 1 1 3 1 1 1 1 3 1 1 1 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 9 3 3 3 3 3 3 3 3 3 6 3 3 3 3 9 3 3 3
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "3 3 3 3 3 3 2 3 3 3 3 4 3 3 3\n3 3 3 3 3 3 2 3 3 3 3 4 3 3 3\n3 3 3 3 3 3 2 3 3 4 4 4 4 4 4\n2 2 2 2 2 2 2 2 2 3 3 5 3 3 3\n3 3 3 3 3 3 7 3 3 3 3 5 3 3 3\n3 3 3 3 3 3 7 3 3 3 3 5 3 3 3\n3 3 3 3 3 3 7 3 5 5 5 5 5 5 5\n3 3 3 3 3 3 7 3 3 3 3 1 3 3 3\n7 7 7 7 7 7 7 7 7 3 3 1 3 3 3\n3 3 3 3 3 3 1 3 3 3 3 1 3 3 3\n3 3 3 3 3 3 1 3 3 3 3 1 3 3 3\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n3 3 3 3 3 3 6 3 3 3 3 9 3 3 3\n3 3 3 3 3 3 6 3 3 3 3 9 3 3 3\n3 3 3 3 3 3 6 3 3 3 3 9 3 3 3", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 5 5 5 3 5 5 5\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n9 9 9 9 9 3 9 9 9 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n0 0 0 0 0 3 0 0 1 1 1 3 1 1 1\n3 3 3 3 3 2 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 2 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 2 3 3 3 3 3 8 3 3 3\n3 3 3 3 3 2 3 3 3 3 3 8 3 3 3\n3 3 3 3 3 2 3 3 3 3 3 8 3 3 3\n3 3 3 3 3 2 3 3 3 3 3 8 3 3 3\nOutput:\n3 3 3 3 3 9 3 3 3 3 3 5 3 3 3\n3 3 3 3 3 9 3 3 3 3 3 5 3 3 3\n3 3 3 3 3 9 3 3 3 3 3 5 3 3 3\n3 3 3 3 3 9 3 3 5 5 5 5 5 5 5\n3 3 3 3 3 9 3 3 3 3 3 1 3 3 3\n3 3 3 3 3 9 3 3 3 3 3 1 3 3 3\n9 9 9 9 9 9 9 9 9 3 3 1 3 3 3\n3 3 3 3 3 0 3 3 3 3 3 1 3 3 3\n0 0 0 0 0 0 0 0 1 1 1 1 1 1 1\n3 3 3 3 3 2 3 3 3 3 3 8 3 3 3\n3 3 3 3 3 2 3 3 3 3 3 8 3 3 3\n3 3 3 3 3 2 3 3 3 3 3 8 3 3 3\n3 3 3 3 3 2 3 3 3 3 3 8 3 3 3\n3 3 3 3 3 2 3 3 3 3 3 8 3 3 3\n3 3 3 3 3 2 3 3 3 3 3 8 3 3 3\n\nExample 2:\n\nInput:\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n0 0 0 0 0 3 0 0 0 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 6 6 6 6 3 6\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n9 9 9 9 9 3 9 9 9 9 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 5 5 5 5 3 5\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n2 2 2 2 2 3 2 2 2 7 7 7 7 3 7\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 8 3 3 3 3 3 3 3 8 3\nOutput:\n3 3 3 3 3 0 3 3 3 3 3 3 3 6 3\n3 3 3 3 3 0 3 3 3 3 3 3 3 6 3\n0 0 0 0 0 0 0 0 0 3 3 3 3 6 3\n3 3 3 3 3 9 3 3 3 6 6 6 6 6 6\n3 3 3 3 3 9 3 3 3 3 3 3 3 5 3\n9 9 9 9 9 9 9 9 9 9 3 3 3 5 3\n3 3 3 3 3 2 3 3 3 3 3 3 3 5 3\n3 3 3 3 3 2 3 3 3 3 3 3 3 5 3\n3 3 3 3 3 2 3 3 3 5 5 5 5 5 5\n3 3 3 3 3 2 3 3 3 3 3 3 3 7 3\n3 3 3 3 3 2 3 3 3 3 3 3 3 7 3\n2 2 2 2 2 2 2 2 2 7 7 7 7 7 7\n3 3 3 3 3 8 3 3 3 3 3 3 3 8 3\n3 3 3 3 3 8 3 3 3 3 3 3 3 8 3\n3 3 3 3 3 8 3 3 3 3 3 3 3 8 3\n\nExample 3:\n\nInput:\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n5 5 5 5 5 3 5 4 4 4 4 3 4 4 4\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 5 3 3 3\n3 3 3 3 3 1 3 3 3 3 3 5 3 3 3\n3 3 3 3 3 1 3 3 3 3 3 5 3 3 3\n3 3 3 3 3 1 3 3 3 3 3 5 3 3 3\nOutput:\n3 3 3 3 3 5 3 3 3 3 3 4 3 3 3\n3 3 3 3 3 5 3 3 3 3 3 4 3 3 3\n3 3 3 3 3 5 3 3 3 3 3 4 3 3 3\n3 3 3 3 3 5 3 3 3 3 3 4 3 3 3\n3 3 3 3 3 5 3 3 3 3 3 4 3 3 3\n3 3 3 3 3 5 3 3 3 3 3 4 3 3 3\n3 3 3 3 3 5 3 3 3 3 3 4 3 3 3\n3 3 3 3 3 5 3 3 3 3 3 4 3 3 3\n3 3 3 3 3 5 3 3 3 3 3 4 3 3 3\n5 5 5 5 5 5 5 4 4 4 4 4 4 4 4\n3 3 3 3 3 1 3 3 3 3 3 5 3 3 3\n3 3 3 3 3 1 3 3 3 3 3 5 3 3 3\n3 3 3 3 3 1 3 3 3 3 3 5 3 3 3\n3 3 3 3 3 1 3 3 3 3 3 5 3 3 3\n3 3 3 3 3 1 3 3 3 3 3 5 3 3 3\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 4 4 3 4 4 4\n2 2 2 2 2 2 3 2 2 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 5 5 5 3 5 5 5\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n7 7 7 7 7 7 3 7 7 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n1 1 1 1 1 1 3 1 1 1 1 3 1 1 1\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 9 3 3 3\n3 3 3 3 3 3 6 3 3 3 3 9 3 3 3\n", "answer": "3 3 3 3 3 3 2 3 3 3 3 4 3 3 3\n3 3 3 3 3 3 2 3 3 3 3 4 3 3 3\n3 3 3 3 3 3 2 3 3 4 4 4 4 4 4\n2 2 2 2 2 2 2 2 2 3 3 5 3 3 3\n3 3 3 3 3 3 7 3 3 3 3 5 3 3 3\n3 3 3 3 3 3 7 3 3 3 3 5 3 3 3\n3 3 3 3 3 3 7 3 5 5 5 5 5 5 5\n3 3 3 3 3 3 7 3 3 3 3 1 3 3 3\n7 7 7 7 7 7 7 7 7 3 3 1 3 3 3\n3 3 3 3 3 3 1 3 3 3 3 1 3 3 3\n3 3 3 3 3 3 1 3 3 3 3 1 3 3 3\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n3 3 3 3 3 3 6 3 3 3 3 9 3 3 3\n3 3 3 3 3 3 6 3 3 3 3 9 3 3 3\n3 3 3 3 3 3 6 3 3 3 3 9 3 3 3", "metadata": {"source_dataset": "arc_agi", "source_index": 263, "input": [[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 4, 4, 4], [2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 3, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [7, 7, 7, 7, 7, 7, 3, 7, 7, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 3, 1, 1, 1], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3], [3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 9, 3, 3, 3]], "output": [[3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 4, 3, 3, 3], [3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 4, 3, 3, 3], [3, 3, 3, 3, 3, 3, 2, 3, 3, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 5, 3, 3, 3], [3, 3, 3, 3, 3, 3, 7, 3, 3, 3, 3, 5, 3, 3, 3], [3, 3, 3, 3, 3, 3, 7, 3, 3, 3, 3, 5, 3, 3, 3], [3, 3, 3, 3, 3, 3, 7, 3, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 7, 3, 3, 3, 3, 1, 3, 3, 3], [7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 1, 3, 3, 3], [3, 3, 3, 3, 3, 3, 1, 3, 3, 3, 3, 1, 3, 3, 3], [3, 3, 3, 3, 3, 3, 1, 3, 3, 3, 3, 1, 3, 3, 3], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 9, 3, 3, 3], [3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 9, 3, 3, 3], [3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 9, 3, 3, 3]], "task_id": "cf133acc", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 263, "input": [[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 4, 4, 4], [2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 3, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [7, 7, 7, 7, 7, 7, 3, 7, 7, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 3, 1, 1, 1], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3], [3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 9, 3, 3, 3]], "output": [[3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 4, 3, 3, 3], [3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 4, 3, 3, 3], [3, 3, 3, 3, 3, 3, 2, 3, 3, 4, 4, 4, 4, 4, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 5, 3, 3, 3], [3, 3, 3, 3, 3, 3, 7, 3, 3, 3, 3, 5, 3, 3, 3], [3, 3, 3, 3, 3, 3, 7, 3, 3, 3, 3, 5, 3, 3, 3], [3, 3, 3, 3, 3, 3, 7, 3, 5, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 7, 3, 3, 3, 3, 1, 3, 3, 3], [7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 1, 3, 3, 3], [3, 3, 3, 3, 3, 3, 1, 3, 3, 3, 3, 1, 3, 3, 3], [3, 3, 3, 3, 3, 3, 1, 3, 3, 3, 3, 1, 3, 3, 3], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 9, 3, 3, 3], [3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 9, 3, 3, 3], [3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 9, 3, 3, 3]], "task_id": "cf133acc", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null
General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 5 0 0 5 0 0 0 0 5 0 0 0 5 0 0 0 5 5 0 0 5 0 0 5 0 0 0 5 0 5 0 5 5 0 5 0 Output: 5 1 7 5 1 7 1 1 5 7 1 1 5 7 1 1 5 5 7 1 5 7 1 5 7 1 7 5 1 5 1 5 5 7 5 1 Example 2: Input: 0 5 5 0 0 5 0 5 0 0 5 5 0 0 5 5 0 5 5 0 5 5 0 5 5 5 5 0 0 0 5 0 5 0 0 0 Output: 7 5 5 7 7 5 7 5 1 1 5 5 7 1 5 5 1 5 5 1 5 5 1 5 5 5 5 7 7 7 5 1 5 7 1 7 Example 3: Input: 0 0 5 5 0 0 0 5 5 0 0 5 5 0 0 5 5 5 0 0 0 5 0 0 0 0 0 0 5 5 5 5 0 0 0 0 Output: 1 1 5 5 1 1 7 5 5 7 7 5 5 7 7 5 5 5 1 1 7 5 1 1 7 7 1 1 5 5 5 5 1 1 7 7 Example 4: Input: 5 0 0 0 0 0 0 0 0 5 0 0 0 0 0 0 5 0 5 5 5 0 5 0 5 5 0 5 5 0 0 5 5 0 5 5 Output: 5 1 1 1 1 7 1 1 7 5 1 1 1 7 1 1 5 1 5 5 5 7 5 7 5 5 7 5 5 7 7 5 5 7 5 5 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 5 0 0 0 5 0 5 0 0 5 0 0 5 0 0 5 5 0 0 5 0 5 5 5 5 0 5 0 5 0 0 0 0 0 0 0
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "5 7 1 1 5 7\n5 1 7 5 1 7\n5 7 7 5 5 7\n7 5 7 5 5 5\n5 7 5 7 5 7\n1 1 1 1 1 1", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n5 0 0 5 0 0\n0 0 5 0 0 0\n5 0 0 0 5 5\n0 0 5 0 0 5\n0 0 0 5 0 5\n0 5 5 0 5 0\nOutput:\n5 1 7 5 1 7\n1 1 5 7 1 1\n5 7 1 1 5 5\n7 1 5 7 1 5\n7 1 7 5 1 5\n1 5 5 7 5 1\n\nExample 2:\n\nInput:\n0 5 5 0 0 5\n0 5 0 0 5 5\n0 0 5 5 0 5\n5 0 5 5 0 5\n5 5 5 0 0 0\n5 0 5 0 0 0\nOutput:\n7 5 5 7 7 5\n7 5 1 1 5 5\n7 1 5 5 1 5\n5 1 5 5 1 5\n5 5 5 7 7 7\n5 1 5 7 1 7\n\nExample 3:\n\nInput:\n0 0 5 5 0 0\n0 5 5 0 0 5\n5 0 0 5 5 5\n0 0 0 5 0 0\n0 0 0 0 5 5\n5 5 0 0 0 0\nOutput:\n1 1 5 5 1 1\n7 5 5 7 7 5\n5 7 7 5 5 5\n1 1 7 5 1 1\n7 7 1 1 5 5\n5 5 1 1 7 7\n\nExample 4:\n\nInput:\n5 0 0 0 0 0\n0 0 0 5 0 0\n0 0 0 0 5 0\n5 5 5 0 5 0\n5 5 0 5 5 0\n0 5 5 0 5 5\nOutput:\n5 1 1 1 1 7\n1 1 7 5 1 1\n1 7 1 1 5 1\n5 5 5 7 5 7\n5 5 7 5 5 7\n7 5 5 7 5 5\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n5 0 0 0 5 0\n5 0 0 5 0 0\n5 0 0 5 5 0\n0 5 0 5 5 5\n5 0 5 0 5 0\n0 0 0 0 0 0\n", "answer": "5 7 1 1 5 7\n5 1 7 5 1 7\n5 7 7 5 5 7\n7 5 7 5 5 5\n5 7 5 7 5 7\n1 1 1 1 1 1", "metadata": {"source_dataset": "arc_agi", "source_index": 264, "input": [[5, 0, 0, 0, 5, 0], [5, 0, 0, 5, 0, 0], [5, 0, 0, 5, 5, 0], [0, 5, 0, 5, 5, 5], [5, 0, 5, 0, 5, 0], [0, 0, 0, 0, 0, 0]], "output": [[5, 7, 1, 1, 5, 7], [5, 1, 7, 5, 1, 7], [5, 7, 7, 5, 5, 7], [7, 5, 7, 5, 5, 5], [5, 7, 5, 7, 5, 7], [1, 1, 1, 1, 1, 1]], "task_id": "a8610ef7", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 264, "input": [[5, 0, 0, 0, 5, 0], [5, 0, 0, 5, 0, 0], [5, 0, 0, 5, 5, 0], [0, 5, 0, 5, 5, 5], [5, 0, 5, 0, 5, 0], [0, 0, 0, 0, 0, 0]], "output": [[5, 7, 1, 1, 5, 7], [5, 1, 7, 5, 1, 7], [5, 7, 7, 5, 5, 7], [7, 5, 7, 5, 5, 5], [5, 7, 5, 7, 5, 7], [1, 1, 1, 1, 1, 1]], "task_id": "a8610ef7", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
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General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 0 8 0 8 4 4 4 4 0 0 4 1 1 1 1 1 1 1 1 4 8 1 0 8 8 8 8 4 1 4 8 1 8 8 4 0 4 0 1 0 4 1 8 8 4 8 0 8 1 4 4 1 4 4 8 0 4 4 1 4 8 1 8 4 0 4 4 4 1 4 4 1 0 4 4 4 0 4 1 0 4 1 1 1 1 1 1 1 1 0 0 4 8 4 8 4 4 4 0 8 Output: 0 8 0 8 4 4 4 4 0 0 4 1 1 1 1 1 1 1 1 4 8 1 0 4 4 4 4 8 1 4 8 1 4 4 8 0 8 0 1 0 4 1 4 4 8 4 0 4 1 4 4 1 8 8 4 0 8 8 1 4 8 1 4 8 0 8 8 8 1 4 4 1 0 8 8 8 0 8 1 0 4 1 1 1 1 1 1 1 1 0 0 4 8 4 8 4 4 4 0 8 Example 2: Input: 2 2 0 0 2 6 0 0 6 2 0 2 0 0 2 2 6 2 2 6 2 0 1 1 1 1 1 1 0 0 6 0 1 2 2 0 2 1 6 2 6 6 1 0 6 0 0 1 6 6 0 0 1 2 0 2 6 1 6 2 6 0 1 0 0 6 0 1 2 0 6 6 1 1 1 1 1 1 6 0 0 0 0 2 0 6 2 2 0 2 0 0 2 2 6 2 0 2 2 2 Output: 2 2 0 0 2 6 0 0 6 2 0 2 0 0 2 2 6 2 2 6 2 0 1 1 1 1 1 1 0 0 6 0 1 6 6 0 6 1 6 2 6 6 1 0 2 0 0 1 6 6 0 0 1 6 0 6 2 1 6 2 6 0 1 0 0 2 0 1 2 0 6 6 1 1 1 1 1 1 6 0 0 0 0 2 0 6 2 2 0 2 0 0 2 2 6 2 0 2 2 2 Example 3: Input: 5 0 5 0 3 0 3 5 0 0 0 1 1 1 1 1 1 1 1 5 5 1 0 3 3 5 5 0 1 0 5 1 3 0 5 3 3 3 1 3 5 1 3 0 3 5 3 3 1 0 5 1 0 5 3 5 5 5 1 3 5 1 5 3 5 3 5 3 1 3 5 1 5 5 5 3 0 3 1 0 3 1 1 1 1 1 1 1 1 5 3 3 0 3 5 5 0 5 5 5 Output: 5 0 5 0 3 0 3 5 0 0 0 1 1 1 1 1 1 1 1 5 5 1 0 5 5 3 3 0 1 0 5 1 5 0 3 5 5 5 1 3 5 1 5 0 5 3 5 5 1 0 5 1 0 3 5 3 3 3 1 3 5 1 3 5 3 5 3 5 1 3 5 1 3 3 3 5 0 5 1 0 3 1 1 1 1 1 1 1 1 5 3 3 0 3 5 5 0 5 5 5 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 9 9 9 0 0 9 7 7 0 9 9 1 1 1 1 1 1 1 1 7 9 1 9 7 0 7 0 0 1 7 7 1 9 7 0 9 7 9 1 0 7 1 7 9 7 0 9 9 1 9 7 1 9 9 0 9 7 0 1 9 0 1 7 7 7 7 9 9 1 7 9 1 0 9 9 9 9 7 1 0 0 1 1 1 1 1 1 1 1 0 9 9 0 0 9 0 7 9 7 0
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "9 9 9 0 0 9 7 7 0 9\n9 1 1 1 1 1 1 1 1 7\n9 1 7 9 0 9 0 0 1 7\n7 1 7 9 0 7 9 7 1 0\n7 1 9 7 9 0 7 7 1 9\n7 1 7 7 0 7 9 0 1 9\n0 1 9 9 9 9 7 7 1 7\n9 1 0 7 7 7 7 9 1 0\n0 1 1 1 1 1 1 1 1 0\n9 9 0 0 9 0 7 9 7 0", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n0 8 0 8 4 4 4 4 0 0\n4 1 1 1 1 1 1 1 1 4\n8 1 0 8 8 8 8 4 1 4\n8 1 8 8 4 0 4 0 1 0\n4 1 8 8 4 8 0 8 1 4\n4 1 4 4 8 0 4 4 1 4\n8 1 8 4 0 4 4 4 1 4\n4 1 0 4 4 4 0 4 1 0\n4 1 1 1 1 1 1 1 1 0\n0 4 8 4 8 4 4 4 0 8\nOutput:\n0 8 0 8 4 4 4 4 0 0\n4 1 1 1 1 1 1 1 1 4\n8 1 0 4 4 4 4 8 1 4\n8 1 4 4 8 0 8 0 1 0\n4 1 4 4 8 4 0 4 1 4\n4 1 8 8 4 0 8 8 1 4\n8 1 4 8 0 8 8 8 1 4\n4 1 0 8 8 8 0 8 1 0\n4 1 1 1 1 1 1 1 1 0\n0 4 8 4 8 4 4 4 0 8\n\nExample 2:\n\nInput:\n2 2 0 0 2 6 0 0 6 2\n0 2 0 0 2 2 6 2 2 6\n2 0 1 1 1 1 1 1 0 0\n6 0 1 2 2 0 2 1 6 2\n6 6 1 0 6 0 0 1 6 6\n0 0 1 2 0 2 6 1 6 2\n6 0 1 0 0 6 0 1 2 0\n6 6 1 1 1 1 1 1 6 0\n0 0 0 2 0 6 2 2 0 2\n0 0 2 2 6 2 0 2 2 2\nOutput:\n2 2 0 0 2 6 0 0 6 2\n0 2 0 0 2 2 6 2 2 6\n2 0 1 1 1 1 1 1 0 0\n6 0 1 6 6 0 6 1 6 2\n6 6 1 0 2 0 0 1 6 6\n0 0 1 6 0 6 2 1 6 2\n6 0 1 0 0 2 0 1 2 0\n6 6 1 1 1 1 1 1 6 0\n0 0 0 2 0 6 2 2 0 2\n0 0 2 2 6 2 0 2 2 2\n\nExample 3:\n\nInput:\n5 0 5 0 3 0 3 5 0 0\n0 1 1 1 1 1 1 1 1 5\n5 1 0 3 3 5 5 0 1 0\n5 1 3 0 5 3 3 3 1 3\n5 1 3 0 3 5 3 3 1 0\n5 1 0 5 3 5 5 5 1 3\n5 1 5 3 5 3 5 3 1 3\n5 1 5 5 5 3 0 3 1 0\n3 1 1 1 1 1 1 1 1 5\n3 3 0 3 5 5 0 5 5 5\nOutput:\n5 0 5 0 3 0 3 5 0 0\n0 1 1 1 1 1 1 1 1 5\n5 1 0 5 5 3 3 0 1 0\n5 1 5 0 3 5 5 5 1 3\n5 1 5 0 5 3 5 5 1 0\n5 1 0 3 5 3 3 3 1 3\n5 1 3 5 3 5 3 5 1 3\n5 1 3 3 3 5 0 5 1 0\n3 1 1 1 1 1 1 1 1 5\n3 3 0 3 5 5 0 5 5 5\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n9 9 9 0 0 9 7 7 0 9\n9 1 1 1 1 1 1 1 1 7\n9 1 9 7 0 7 0 0 1 7\n7 1 9 7 0 9 7 9 1 0\n7 1 7 9 7 0 9 9 1 9\n7 1 9 9 0 9 7 0 1 9\n0 1 7 7 7 7 9 9 1 7\n9 1 0 9 9 9 9 7 1 0\n0 1 1 1 1 1 1 1 1 0\n9 9 0 0 9 0 7 9 7 0\n", "answer": "9 9 9 0 0 9 7 7 0 9\n9 1 1 1 1 1 1 1 1 7\n9 1 7 9 0 9 0 0 1 7\n7 1 7 9 0 7 9 7 1 0\n7 1 9 7 9 0 7 7 1 9\n7 1 7 7 0 7 9 0 1 9\n0 1 9 9 9 9 7 7 1 7\n9 1 0 7 7 7 7 9 1 0\n0 1 1 1 1 1 1 1 1 0\n9 9 0 0 9 0 7 9 7 0", "metadata": {"source_dataset": "arc_agi", "source_index": 265, "input": [[9, 9, 9, 0, 0, 9, 7, 7, 0, 9], [9, 1, 1, 1, 1, 1, 1, 1, 1, 7], [9, 1, 9, 7, 0, 7, 0, 0, 1, 7], [7, 1, 9, 7, 0, 9, 7, 9, 1, 0], [7, 1, 7, 9, 7, 0, 9, 9, 1, 9], [7, 1, 9, 9, 0, 9, 7, 0, 1, 9], [0, 1, 7, 7, 7, 7, 9, 9, 1, 7], [9, 1, 0, 9, 9, 9, 9, 7, 1, 0], [0, 1, 1, 1, 1, 1, 1, 1, 1, 0], [9, 9, 0, 0, 9, 0, 7, 9, 7, 0]], "output": [[9, 9, 9, 0, 0, 9, 7, 7, 0, 9], [9, 1, 1, 1, 1, 1, 1, 1, 1, 7], [9, 1, 7, 9, 0, 9, 0, 0, 1, 7], [7, 1, 7, 9, 0, 7, 9, 7, 1, 0], [7, 1, 9, 7, 9, 0, 7, 7, 1, 9], [7, 1, 7, 7, 0, 7, 9, 0, 1, 9], [0, 1, 9, 9, 9, 9, 7, 7, 1, 7], [9, 1, 0, 7, 7, 7, 7, 9, 1, 0], [0, 1, 1, 1, 1, 1, 1, 1, 1, 0], [9, 9, 0, 0, 9, 0, 7, 9, 7, 0]], "task_id": "7ee1c6ea", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 265, "input": [[9, 9, 9, 0, 0, 9, 7, 7, 0, 9], [9, 1, 1, 1, 1, 1, 1, 1, 1, 7], [9, 1, 9, 7, 0, 7, 0, 0, 1, 7], [7, 1, 9, 7, 0, 9, 7, 9, 1, 0], [7, 1, 7, 9, 7, 0, 9, 9, 1, 9], [7, 1, 9, 9, 0, 9, 7, 0, 1, 9], [0, 1, 7, 7, 7, 7, 9, 9, 1, 7], [9, 1, 0, 9, 9, 9, 9, 7, 1, 0], [0, 1, 1, 1, 1, 1, 1, 1, 1, 0], [9, 9, 0, 0, 9, 0, 7, 9, 7, 0]], "output": [[9, 9, 9, 0, 0, 9, 7, 7, 0, 9], [9, 1, 1, 1, 1, 1, 1, 1, 1, 7], [9, 1, 7, 9, 0, 9, 0, 0, 1, 7], [7, 1, 7, 9, 0, 7, 9, 7, 1, 0], [7, 1, 9, 7, 9, 0, 7, 7, 1, 9], [7, 1, 7, 7, 0, 7, 9, 0, 1, 9], [0, 1, 9, 9, 9, 9, 7, 7, 1, 7], [9, 1, 0, 7, 7, 7, 7, 9, 1, 0], [0, 1, 1, 1, 1, 1, 1, 1, 1, 0], [9, 9, 0, 0, 9, 0, 7, 9, 7, 0]], "task_id": "7ee1c6ea", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
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General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 5 7 7 5 5 5 5 7 7 5 7 5 7 7 7 7 9 9 9 9 7 3 3 7 7 3 3 3 7 3 3 7 3 3 7 3 Output: 7 7 7 7 7 7 7 7 1 7 7 7 7 7 1 7 Example 2: Input: 7 5 7 5 5 5 7 7 7 5 5 5 7 7 5 7 9 9 9 9 7 3 3 3 7 3 7 7 7 3 3 3 7 7 7 3 Output: 1 7 7 7 7 7 1 1 1 7 7 7 1 1 7 7 Example 3: Input: 7 5 7 5 5 7 7 5 7 7 7 7 7 7 5 5 9 9 9 9 3 3 7 7 3 7 3 3 7 7 3 3 3 7 3 7 Output: 7 7 1 7 7 1 7 7 1 1 7 7 7 1 7 7 Example 4: Input: 7 7 5 7 7 5 5 7 7 5 7 5 5 7 5 7 9 9 9 9 3 3 7 7 7 3 3 7 7 7 3 3 7 7 3 3 Output: 7 7 7 1 1 7 7 1 1 7 7 7 7 1 7 7 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 7 5 7 7 5 7 5 5 7 7 7 7 7 5 5 5 9 9 9 9 3 7 3 7 3 7 7 7 7 3 3 3 3 3 3 3
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "7 7 7 1\n7 1 7 7\n1 7 7 7\n7 7 7 7", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n5 7 7 5\n5 5 5 7\n7 5 7 5\n7 7 7 7\n9 9 9 9\n7 3 3 7\n7 3 3 3\n7 3 3 7\n3 3 7 3\nOutput:\n7 7 7 7\n7 7 7 7\n1 7 7 7\n7 7 1 7\n\nExample 2:\n\nInput:\n7 5 7 5\n5 5 7 7\n7 5 5 5\n7 7 5 7\n9 9 9 9\n7 3 3 3\n7 3 7 7\n7 3 3 3\n7 7 7 3\nOutput:\n1 7 7 7\n7 7 1 1\n1 7 7 7\n1 1 7 7\n\nExample 3:\n\nInput:\n7 5 7 5\n5 7 7 5\n7 7 7 7\n7 7 5 5\n9 9 9 9\n3 3 7 7\n3 7 3 3\n7 7 3 3\n3 7 3 7\nOutput:\n7 7 1 7\n7 1 7 7\n1 1 7 7\n7 1 7 7\n\nExample 4:\n\nInput:\n7 7 5 7\n7 5 5 7\n7 5 7 5\n5 7 5 7\n9 9 9 9\n3 3 7 7\n7 3 3 7\n7 7 3 3\n7 7 3 3\nOutput:\n7 7 7 1\n1 7 7 1\n1 7 7 7\n7 1 7 7\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n7 5 7 7\n5 7 5 5\n7 7 7 7\n7 5 5 5\n9 9 9 9\n3 7 3 7\n3 7 7 7\n7 3 3 3\n3 3 3 3\n", "answer": "7 7 7 1\n7 1 7 7\n1 7 7 7\n7 7 7 7", "metadata": {"source_dataset": "arc_agi", "source_index": 266, "input": [[7, 5, 7, 7], [5, 7, 5, 5], [7, 7, 7, 7], [7, 5, 5, 5], [9, 9, 9, 9], [3, 7, 3, 7], [3, 7, 7, 7], [7, 3, 3, 3], [3, 3, 3, 3]], "output": [[7, 7, 7, 1], [7, 1, 7, 7], [1, 7, 7, 7], [7, 7, 7, 7]], "task_id": "6430c8c4", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 266, "input": [[7, 5, 7, 7], [5, 7, 5, 5], [7, 7, 7, 7], [7, 5, 5, 5], [9, 9, 9, 9], [3, 7, 3, 7], [3, 7, 7, 7], [7, 3, 3, 3], [3, 3, 3, 3]], "output": [[7, 7, 7, 1], [7, 1, 7, 7], [1, 7, 7, 7], [7, 7, 7, 7]], "task_id": "6430c8c4", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
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General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 8 8 8 8 8 6 6 6 6 6 8 6 6 6 8 6 6 6 6 6 8 6 6 6 8 6 6 6 6 6 8 8 8 8 8 6 6 6 6 6 6 6 6 6 6 6 8 8 8 6 6 6 6 6 6 6 8 6 8 6 6 6 6 6 6 6 8 8 8 6 6 6 6 6 6 6 6 6 6 6 Output: 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 6 6 6 6 6 6 6 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 Example 2: Input: 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 8 8 8 8 6 6 6 6 6 6 8 6 6 8 6 6 6 6 6 6 8 8 8 8 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 Output: 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 2 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 Example 3: Input: 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 8 8 6 6 6 6 6 6 6 6 6 6 6 6 6 8 8 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 8 8 8 8 8 6 6 6 6 6 6 6 6 6 6 8 6 6 6 8 6 6 6 6 6 6 6 6 6 6 8 6 6 6 8 6 6 6 6 6 6 6 6 6 6 8 6 6 6 8 6 6 6 6 6 6 6 6 6 6 8 8 8 8 8 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 Output: 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 6 6 6 6 6 6 6 6 6 6 8 8 8 8 8 8 6 6 6 6 8 6 6 6 6 8 6 6 6 6 8 6 6 6 6 8 6 6 6 6 8 6 6 6 6 8 6 6 6 6 8 6 6 6 6 8 6 6 6 6 8 6 6 6 6 8 6 6 6 6 8 6 6 6 6 8 6 8 8 8 8 8 8 8 8 8 6 8 6 8 6 6 6 6 6 6 6 8 8 8
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 2 2 2 2 6 6 6 6 6\n6 2 2 2 2 6 6 6 6 6\n6 2 2 2 2 6 6 6 6 6\n6 2 2 2 2 6 6 6 6 6\n6 2 2 2 2 6 6 6 6 6\n6 2 2 2 2 6 6 6 6 6\n6 6 6 6 6 6 6 6 2 6\n6 6 6 6 6 6 6 6 6 6", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n8 8 8 8 8 6 6 6 6 6\n8 6 6 6 8 6 6 6 6 6\n8 6 6 6 8 6 6 6 6 6\n8 8 8 8 8 6 6 6 6 6\n6 6 6 6 6 6 8 8 8 6\n6 6 6 6 6 6 8 6 8 6\n6 6 6 6 6 6 8 8 8 6\n6 6 6 6 6 6 6 6 6 6\nOutput:\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 2 2 2 6 6 6 6 6 6\n6 2 2 2 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 2 6 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n\nExample 2:\n\nInput:\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 8 8 8 8 6\n6 6 6 6 6 8 6 6 8 6\n6 6 6 6 6 8 8 8 8 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\nOutput:\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 2 2 6 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n\nExample 3:\n\nInput:\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 8 8 6 6 6 6 6 6 6\n6 6 6 6 6 6 8 8 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 8 8 8 8 8 6\n6 6 6 6 6 6 6 6 6 8 6 6 6 8 6\n6 6 6 6 6 6 6 6 6 8 6 6 6 8 6\n6 6 6 6 6 6 6 6 6 8 6 6 6 8 6\n6 6 6 6 6 6 6 6 6 8 8 8 8 8 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\nOutput:\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 2 2 2 6 6\n6 6 6 6 6 6 6 6 6 6 2 2 2 6 6\n6 6 6 6 6 6 6 6 6 6 2 2 2 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n6 6 6 6 6 6 6 6 6 6\n8 8 8 8 8 8 6 6 6 6\n8 6 6 6 6 8 6 6 6 6\n8 6 6 6 6 8 6 6 6 6\n8 6 6 6 6 8 6 6 6 6\n8 6 6 6 6 8 6 6 6 6\n8 6 6 6 6 8 6 6 6 6\n8 6 6 6 6 8 6 8 8 8\n8 8 8 8 8 8 6 8 6 8\n6 6 6 6 6 6 6 8 8 8\n", "answer": "6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 2 2 2 2 6 6 6 6 6\n6 2 2 2 2 6 6 6 6 6\n6 2 2 2 2 6 6 6 6 6\n6 2 2 2 2 6 6 6 6 6\n6 2 2 2 2 6 6 6 6 6\n6 2 2 2 2 6 6 6 6 6\n6 6 6 6 6 6 6 6 2 6\n6 6 6 6 6 6 6 6 6 6", "metadata": {"source_dataset": "arc_agi", "source_index": 267, "input": [[6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [8, 8, 8, 8, 8, 8, 6, 6, 6, 6], [8, 6, 6, 6, 6, 8, 6, 6, 6, 6], [8, 6, 6, 6, 6, 8, 6, 6, 6, 6], [8, 6, 6, 6, 6, 8, 6, 6, 6, 6], [8, 6, 6, 6, 6, 8, 6, 6, 6, 6], [8, 6, 6, 6, 6, 8, 6, 6, 6, 6], [8, 6, 6, 6, 6, 8, 6, 8, 8, 8], [8, 8, 8, 8, 8, 8, 6, 8, 6, 8], [6, 6, 6, 6, 6, 6, 6, 8, 8, 8]], "output": [[6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 2, 2, 2, 2, 6, 6, 6, 6, 6], [6, 2, 2, 2, 2, 6, 6, 6, 6, 6], [6, 2, 2, 2, 2, 6, 6, 6, 6, 6], [6, 2, 2, 2, 2, 6, 6, 6, 6, 6], [6, 2, 2, 2, 2, 6, 6, 6, 6, 6], [6, 2, 2, 2, 2, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 2, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6]], "task_id": "d5d6de2d", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 267, "input": [[6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [8, 8, 8, 8, 8, 8, 6, 6, 6, 6], [8, 6, 6, 6, 6, 8, 6, 6, 6, 6], [8, 6, 6, 6, 6, 8, 6, 6, 6, 6], [8, 6, 6, 6, 6, 8, 6, 6, 6, 6], [8, 6, 6, 6, 6, 8, 6, 6, 6, 6], [8, 6, 6, 6, 6, 8, 6, 6, 6, 6], [8, 6, 6, 6, 6, 8, 6, 8, 8, 8], [8, 8, 8, 8, 8, 8, 6, 8, 6, 8], [6, 6, 6, 6, 6, 6, 6, 8, 8, 8]], "output": [[6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 2, 2, 2, 2, 6, 6, 6, 6, 6], [6, 2, 2, 2, 2, 6, 6, 6, 6, 6], [6, 2, 2, 2, 2, 6, 6, 6, 6, 6], [6, 2, 2, 2, 2, 6, 6, 6, 6, 6], [6, 2, 2, 2, 2, 6, 6, 6, 6, 6], [6, 2, 2, 2, 2, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 2, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6]], "task_id": "d5d6de2d", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
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General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 6 2 6 0 2 6 6 6 6 Output: 6 2 6 7 7 7 6 2 6 0 2 6 7 7 7 0 2 6 6 6 6 7 7 7 6 6 6 7 7 7 7 7 7 6 2 6 7 7 7 7 7 7 0 2 6 7 7 7 7 7 7 6 6 6 6 2 6 6 2 6 6 2 6 0 2 6 0 2 6 0 2 6 6 6 6 6 6 6 6 6 6 Example 2: Input: 2 9 8 6 2 9 8 6 2 Output: 2 9 8 7 7 7 7 7 7 6 2 9 7 7 7 7 7 7 8 6 2 7 7 7 7 7 7 7 7 7 2 9 8 7 7 7 7 7 7 6 2 9 7 7 7 7 7 7 8 6 2 7 7 7 7 7 7 7 7 7 2 9 8 7 7 7 7 7 7 6 2 9 7 7 7 7 7 7 8 6 2 Example 3: Input: 0 4 9 9 0 9 9 6 6 Output: 7 7 7 7 7 7 0 4 9 7 7 7 7 7 7 9 0 9 7 7 7 7 7 7 9 6 6 0 4 9 7 7 7 0 4 9 9 0 9 7 7 7 9 0 9 9 6 6 7 7 7 9 6 6 0 4 9 7 7 7 7 7 7 9 0 9 7 7 7 7 7 7 9 6 6 7 7 7 7 7 7 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 1 8 5 1 4 1 8 1 8
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "1 8 5 7 7 7 7 7 7\n1 4 1 7 7 7 7 7 7\n8 1 8 7 7 7 7 7 7\n1 8 5 7 7 7 1 8 5\n1 4 1 7 7 7 1 4 1\n8 1 8 7 7 7 8 1 8\n7 7 7 1 8 5 7 7 7\n7 7 7 1 4 1 7 7 7\n7 7 7 8 1 8 7 7 7", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n6 2 6\n0 2 6\n6 6 6\nOutput:\n6 2 6 7 7 7 6 2 6\n0 2 6 7 7 7 0 2 6\n6 6 6 7 7 7 6 6 6\n7 7 7 7 7 7 6 2 6\n7 7 7 7 7 7 0 2 6\n7 7 7 7 7 7 6 6 6\n6 2 6 6 2 6 6 2 6\n0 2 6 0 2 6 0 2 6\n6 6 6 6 6 6 6 6 6\n\nExample 2:\n\nInput:\n2 9 8\n6 2 9\n8 6 2\nOutput:\n2 9 8 7 7 7 7 7 7\n6 2 9 7 7 7 7 7 7\n8 6 2 7 7 7 7 7 7\n7 7 7 2 9 8 7 7 7\n7 7 7 6 2 9 7 7 7\n7 7 7 8 6 2 7 7 7\n7 7 7 7 7 7 2 9 8\n7 7 7 7 7 7 6 2 9\n7 7 7 7 7 7 8 6 2\n\nExample 3:\n\nInput:\n0 4 9\n9 0 9\n9 6 6\nOutput:\n7 7 7 7 7 7 0 4 9\n7 7 7 7 7 7 9 0 9\n7 7 7 7 7 7 9 6 6\n0 4 9 7 7 7 0 4 9\n9 0 9 7 7 7 9 0 9\n9 6 6 7 7 7 9 6 6\n0 4 9 7 7 7 7 7 7\n9 0 9 7 7 7 7 7 7\n9 6 6 7 7 7 7 7 7\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n1 8 5\n1 4 1\n8 1 8\n", "answer": "1 8 5 7 7 7 7 7 7\n1 4 1 7 7 7 7 7 7\n8 1 8 7 7 7 7 7 7\n1 8 5 7 7 7 1 8 5\n1 4 1 7 7 7 1 4 1\n8 1 8 7 7 7 8 1 8\n7 7 7 1 8 5 7 7 7\n7 7 7 1 4 1 7 7 7\n7 7 7 8 1 8 7 7 7", "metadata": {"source_dataset": "arc_agi", "source_index": 268, "input": [[1, 8, 5], [1, 4, 1], [8, 1, 8]], "output": [[1, 8, 5, 7, 7, 7, 7, 7, 7], [1, 4, 1, 7, 7, 7, 7, 7, 7], [8, 1, 8, 7, 7, 7, 7, 7, 7], [1, 8, 5, 7, 7, 7, 1, 8, 5], [1, 4, 1, 7, 7, 7, 1, 4, 1], [8, 1, 8, 7, 7, 7, 8, 1, 8], [7, 7, 7, 1, 8, 5, 7, 7, 7], [7, 7, 7, 1, 4, 1, 7, 7, 7], [7, 7, 7, 8, 1, 8, 7, 7, 7]], "task_id": "c3e719e8", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 268, "input": [[1, 8, 5], [1, 4, 1], [8, 1, 8]], "output": [[1, 8, 5, 7, 7, 7, 7, 7, 7], [1, 4, 1, 7, 7, 7, 7, 7, 7], [8, 1, 8, 7, 7, 7, 7, 7, 7], [1, 8, 5, 7, 7, 7, 1, 8, 5], [1, 4, 1, 7, 7, 7, 1, 4, 1], [8, 1, 8, 7, 7, 7, 8, 1, 8], [7, 7, 7, 1, 8, 5, 7, 7, 7], [7, 7, 7, 1, 4, 1, 7, 7, 7], [7, 7, 7, 8, 1, 8, 7, 7, 7]], "task_id": "c3e719e8", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
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General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 8 8 8 8 8 8 2 2 2 2 8 2 2 2 2 8 2 2 2 2 8 2 2 2 2 8 2 2 2 2 8 2 2 2 2 8 2 2 2 2 8 2 2 2 2 8 2 2 2 2 8 8 2 8 8 8 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 Output: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 8 8 8 8 8 8 2 2 2 2 8 9 9 9 9 8 2 2 2 2 8 9 9 9 9 8 2 2 2 2 8 9 9 9 9 8 2 2 2 2 8 9 9 9 9 8 2 2 2 2 8 8 9 8 8 8 2 2 2 2 2 2 9 2 2 2 2 2 2 2 2 2 9 2 2 2 2 2 Example 2: Input: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 8 8 2 8 8 8 2 2 2 2 8 2 2 2 2 8 2 2 2 2 8 2 2 2 2 8 2 2 2 2 8 2 2 2 2 8 2 2 2 2 8 8 8 8 8 8 2 2 Output: 2 2 2 2 9 2 2 2 2 2 2 2 2 2 9 2 2 2 2 2 2 2 2 2 9 2 2 2 2 2 2 2 2 2 9 2 2 2 2 2 2 2 2 2 9 2 2 2 2 2 2 2 8 8 9 8 8 8 2 2 2 2 8 9 9 9 9 8 2 2 2 2 8 9 9 9 9 8 2 2 2 2 8 9 9 9 9 8 2 2 2 2 8 8 8 8 8 8 2 2 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 8 8 8 8 8 2 2 2 2 2 8 2 2 2 8 2 2 2 2 2 8 2 2 2 8 2 2 2 2 2 2 2 2 2 8 2 2 2 2 2 8 2 2 2 8 2 2 2 2 2 8 8 8 8 8 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 8 8 8 8 8 2 2\n2 2 2 8 9 9 9 8 2 2\n2 2 2 8 9 9 9 8 2 2\n9 9 9 9 9 9 9 8 2 2\n2 2 2 8 9 9 9 8 2 2\n2 2 2 8 8 8 8 8 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 8 8 8 8 8 8 2 2\n2 2 8 2 2 2 2 8 2 2\n2 2 8 2 2 2 2 8 2 2\n2 2 8 2 2 2 2 8 2 2\n2 2 8 2 2 2 2 8 2 2\n2 2 8 8 2 8 8 8 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\nOutput:\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 8 8 8 8 8 8 2 2\n2 2 8 9 9 9 9 8 2 2\n2 2 8 9 9 9 9 8 2 2\n2 2 8 9 9 9 9 8 2 2\n2 2 8 9 9 9 9 8 2 2\n2 2 8 8 9 8 8 8 2 2\n2 2 2 2 9 2 2 2 2 2\n2 2 2 2 9 2 2 2 2 2\n\nExample 2:\n\nInput:\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 8 8 2 8 8 8 2 2\n2 2 8 2 2 2 2 8 2 2\n2 2 8 2 2 2 2 8 2 2\n2 2 8 2 2 2 2 8 2 2\n2 2 8 8 8 8 8 8 2 2\nOutput:\n2 2 2 2 9 2 2 2 2 2\n2 2 2 2 9 2 2 2 2 2\n2 2 2 2 9 2 2 2 2 2\n2 2 2 2 9 2 2 2 2 2\n2 2 2 2 9 2 2 2 2 2\n2 2 8 8 9 8 8 8 2 2\n2 2 8 9 9 9 9 8 2 2\n2 2 8 9 9 9 9 8 2 2\n2 2 8 9 9 9 9 8 2 2\n2 2 8 8 8 8 8 8 2 2\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 8 8 8 8 8 2 2\n2 2 2 8 2 2 2 8 2 2\n2 2 2 8 2 2 2 8 2 2\n2 2 2 2 2 2 2 8 2 2\n2 2 2 8 2 2 2 8 2 2\n2 2 2 8 8 8 8 8 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n", "answer": "2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 8 8 8 8 8 2 2\n2 2 2 8 9 9 9 8 2 2\n2 2 2 8 9 9 9 8 2 2\n9 9 9 9 9 9 9 8 2 2\n2 2 2 8 9 9 9 8 2 2\n2 2 2 8 8 8 8 8 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2", "metadata": {"source_dataset": "arc_agi", "source_index": 269, "input": [[2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 8, 8, 8, 8, 8, 2, 2], [2, 2, 2, 8, 2, 2, 2, 8, 2, 2], [2, 2, 2, 8, 2, 2, 2, 8, 2, 2], [2, 2, 2, 2, 2, 2, 2, 8, 2, 2], [2, 2, 2, 8, 2, 2, 2, 8, 2, 2], [2, 2, 2, 8, 8, 8, 8, 8, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2]], "output": [[2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 8, 8, 8, 8, 8, 2, 2], [2, 2, 2, 8, 9, 9, 9, 8, 2, 2], [2, 2, 2, 8, 9, 9, 9, 8, 2, 2], [9, 9, 9, 9, 9, 9, 9, 8, 2, 2], [2, 2, 2, 8, 9, 9, 9, 8, 2, 2], [2, 2, 2, 8, 8, 8, 8, 8, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2]], "task_id": "d4f3cd78", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 269, "input": [[2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 8, 8, 8, 8, 8, 2, 2], [2, 2, 2, 8, 2, 2, 2, 8, 2, 2], [2, 2, 2, 8, 2, 2, 2, 8, 2, 2], [2, 2, 2, 2, 2, 2, 2, 8, 2, 2], [2, 2, 2, 8, 2, 2, 2, 8, 2, 2], [2, 2, 2, 8, 8, 8, 8, 8, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2]], "output": [[2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 8, 8, 8, 8, 8, 2, 2], [2, 2, 2, 8, 9, 9, 9, 8, 2, 2], [2, 2, 2, 8, 9, 9, 9, 8, 2, 2], [9, 9, 9, 9, 9, 9, 9, 8, 2, 2], [2, 2, 2, 8, 9, 9, 9, 8, 2, 2], [2, 2, 2, 8, 8, 8, 8, 8, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2]], "task_id": "d4f3cd78", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
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General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 7 7 7 7 7 9 7 7 7 7 7 7 7 3 7 7 9 7 7 7 7 7 7 7 7 7 7 9 7 7 7 7 7 7 7 7 7 7 9 7 7 7 7 7 7 7 7 7 7 9 7 7 7 7 7 9 9 9 9 9 9 9 9 9 9 9 7 7 7 7 7 9 7 7 7 7 7 7 7 7 7 7 9 7 7 7 7 7 7 7 7 7 7 9 7 7 7 7 7 7 7 7 7 7 9 7 7 7 7 7 7 7 7 7 7 9 7 7 7 7 7 Output: 7 7 7 7 7 7 7 3 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 Example 2: Input: 5 5 5 6 5 5 5 5 5 5 6 5 5 5 5 5 5 6 5 5 5 6 6 6 6 6 6 6 5 5 5 6 5 5 5 5 9 5 6 5 5 5 5 5 5 6 5 5 5 Output: 5 5 5 5 9 5 5 5 5 Example 3: Input: 3 3 7 3 5 3 3 7 3 3 7 7 7 7 7 3 3 7 3 3 3 3 7 3 3 Output: 3 5 3 3 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 9 9 9 9 9 9 0 9 9 9 9 9 9 9 9 9 9 9 9 0 9 9 9 9 9 9 9 9 9 9 9 9 0 9 9 9 9 9 9 9 9 9 9 9 9 0 9 9 9 9 9 9 9 9 9 9 9 9 0 9 9 9 9 9 9 9 9 9 9 9 9 0 9 9 9 9 9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 9 9 9 9 9 9 0 9 9 9 9 9 9 9 9 9 6 9 9 0 9 9 9 9 9 9 9 9 9 9 9 9 0 9 9 9 9 9 9 9 9 9 9 9 9 0 9 9 9 9 9 9 9 9 9 9 9 9 0 9 9 9 9 9 9 9 9 9 9 9 9 0 9 9 9 9 9 9
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "9 9 9 9 9 9\n9 9 9 6 9 9\n9 9 9 9 9 9\n9 9 9 9 9 9\n9 9 9 9 9 9\n9 9 9 9 9 9", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n7 7 7 7 7 9 7 7 7 7 7\n7 7 3 7 7 9 7 7 7 7 7\n7 7 7 7 7 9 7 7 7 7 7\n7 7 7 7 7 9 7 7 7 7 7\n7 7 7 7 7 9 7 7 7 7 7\n9 9 9 9 9 9 9 9 9 9 9\n7 7 7 7 7 9 7 7 7 7 7\n7 7 7 7 7 9 7 7 7 7 7\n7 7 7 7 7 9 7 7 7 7 7\n7 7 7 7 7 9 7 7 7 7 7\n7 7 7 7 7 9 7 7 7 7 7\nOutput:\n7 7 7 7 7\n7 7 3 7 7\n7 7 7 7 7\n7 7 7 7 7\n7 7 7 7 7\n\nExample 2:\n\nInput:\n5 5 5 6 5 5 5\n5 5 5 6 5 5 5\n5 5 5 6 5 5 5\n6 6 6 6 6 6 6\n5 5 5 6 5 5 5\n5 9 5 6 5 5 5\n5 5 5 6 5 5 5\nOutput:\n5 5 5\n5 9 5\n5 5 5\n\nExample 3:\n\nInput:\n3 3 7 3 5\n3 3 7 3 3\n7 7 7 7 7\n3 3 7 3 3\n3 3 7 3 3\nOutput:\n3 5\n3 3\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n9 9 9 9 9 9 0 9 9 9 9 9 9\n9 9 9 9 9 9 0 9 9 9 9 9 9\n9 9 9 9 9 9 0 9 9 9 9 9 9\n9 9 9 9 9 9 0 9 9 9 9 9 9\n9 9 9 9 9 9 0 9 9 9 9 9 9\n9 9 9 9 9 9 0 9 9 9 9 9 9\n0 0 0 0 0 0 0 0 0 0 0 0 0\n9 9 9 9 9 9 0 9 9 9 9 9 9\n9 9 9 6 9 9 0 9 9 9 9 9 9\n9 9 9 9 9 9 0 9 9 9 9 9 9\n9 9 9 9 9 9 0 9 9 9 9 9 9\n9 9 9 9 9 9 0 9 9 9 9 9 9\n9 9 9 9 9 9 0 9 9 9 9 9 9\n", "answer": "9 9 9 9 9 9\n9 9 9 6 9 9\n9 9 9 9 9 9\n9 9 9 9 9 9\n9 9 9 9 9 9\n9 9 9 9 9 9", "metadata": {"source_dataset": "arc_agi", "source_index": 270, "input": [[9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9], [9, 9, 9, 6, 9, 9, 0, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9]], "output": [[9, 9, 9, 9, 9, 9], [9, 9, 9, 6, 9, 9], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9]], "task_id": "2dc579da", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 270, "input": [[9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9], [9, 9, 9, 6, 9, 9, 0, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9]], "output": [[9, 9, 9, 9, 9, 9], [9, 9, 9, 6, 9, 9], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9]], "task_id": "2dc579da", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
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General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 1 1 7 7 1 1 7 7 1 7 7 7 7 7 7 7 1 7 7 1 1 7 7 1 7 Output: 1 1 1 7 Example 2: Input: 3 3 7 3 7 7 3 7 3 3 7 7 7 7 7 3 3 7 3 3 7 3 7 7 3 Output: 3 7 3 3 Example 3: Input: 6 7 7 6 7 6 6 7 6 6 7 7 7 7 7 6 7 7 6 7 6 6 7 7 6 Output: 6 7 7 6 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 7 9 7 7 9 9 9 7 9 9 7 7 7 7 7 7 9 7 7 9 9 9 7 9 7
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "7 9\n9 7", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n1 1 7 7 1\n1 7 7 1 7\n7 7 7 7 7\n7 1 7 7 1\n1 7 7 1 7\nOutput:\n1 1\n1 7\n\nExample 2:\n\nInput:\n3 3 7 3 7\n7 3 7 3 3\n7 7 7 7 7\n3 3 7 3 3\n7 3 7 7 3\nOutput:\n3 7\n3 3\n\nExample 3:\n\nInput:\n6 7 7 6 7\n6 6 7 6 6\n7 7 7 7 7\n6 7 7 6 7\n6 6 7 7 6\nOutput:\n6 7\n7 6\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n7 9 7 7 9\n9 9 7 9 9\n7 7 7 7 7\n7 9 7 7 9\n9 9 7 9 7\n", "answer": "7 9\n9 7", "metadata": {"source_dataset": "arc_agi", "source_index": 271, "input": [[7, 9, 7, 7, 9], [9, 9, 7, 9, 9], [7, 7, 7, 7, 7], [7, 9, 7, 7, 9], [9, 9, 7, 9, 7]], "output": [[7, 9], [9, 7]], "task_id": "88a62173", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 271, "input": [[7, 9, 7, 7, 9], [9, 9, 7, 9, 9], [7, 7, 7, 7, 7], [7, 9, 7, 7, 9], [9, 9, 7, 9, 7]], "output": [[7, 9], [9, 7]], "task_id": "88a62173", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null
General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 3 3 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 3 3 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 3 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 9 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 9 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 Output: 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 3 3 6 6 6 6 3 3 6 6 7 7 6 6 6 6 6 6 6 3 3 6 6 6 6 6 3 3 6 6 7 7 6 6 6 6 6 6 6 3 6 7 6 6 6 6 3 3 3 3 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 3 3 3 3 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 9 3 3 3 3 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 9 3 3 3 3 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 3 3 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 3 3 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 3 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 Example 2: Input: 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 9 7 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 7 7 3 3 3 3 3 3 9 3 3 3 3 3 3 3 3 3 3 3 3 7 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 9 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 Output: 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 2 3 3 3 3 3 3 3 3 3 9 7 3 3 3 3 3 3 3 7 7 7 3 3 3 3 3 3 3 3 3 7 7 7 3 3 3 3 3 3 9 7 3 3 3 3 3 3 3 3 3 3 3 7 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 7 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 7 7 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 9 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 Example 3: Input: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 6 9 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 2 6 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 8 6 6 2 2 2 2 2 2 2 2 8 8 8 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 8 8 8 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 8 8 8 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 9 9 9 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 9 9 9 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 9 9 9 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 Output: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 6 9 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 2 6 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 8 6 6 2 2 6 6 6 6 6 6 8 8 8 2 2 2 2 2 2 2 2 2 2 2 6 6 6 6 6 6 8 8 8 2 2 2 2 2 2 2 2 2 2 2 6 6 6 6 6 6 8 8 8 2 2 2 2 2 2 2 2 2 2 2 6 6 6 2 2 2 6 6 6 2 2 2 2 2 2 2 2 2 2 2 6 6 6 2 2 2 6 6 6 2 2 2 2 2 2 2 2 2 2 2 6 6 6 2 2 2 6 6 6 2 2 2 2 2 2 2 2 2 2 2 9 9 9 6 6 6 6 6 6 2 2 2 2 2 2 2 2 2 2 2 9 9 9 6 6 6 6 6 6 2 2 2 2 2 2 2 2 2 2 2 9 9 9 6 6 6 6 6 6 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 2 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 3 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 3 7 3 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 2 3 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 2 2 2 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 2 2 2 7 7 7 7 7 7 7 7 7 7 7 7 7 2 2 7 7 7 7 2 2 2 7 7 7 7 7 7 7 7 7 7 7 7 7 2 2 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 6 3 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 3 7 3 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 3 2 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 3 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 3 7 3 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 2 3 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 2 2 2 3 3 3 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 2 2 2 3 3 3 7 7 7 7 7 7 7 7 3 3 2 2 7 7 7\n7 2 2 2 3 3 3 7 7 7 7 7 7 7 7 3 3 2 2 7 7 7\n7 3 3 3 7 7 7 3 3 3 7 7 7 3 3 7 7 3 3 7 7 7\n7 3 3 3 7 7 7 3 3 3 7 7 7 3 3 7 7 3 3 7 7 7\n7 3 3 3 7 7 7 3 3 3 7 7 7 6 6 3 3 7 7 7 7 7\n7 7 7 7 3 3 3 6 6 6 7 7 7 6 6 3 3 7 7 7 7 7\n7 7 7 7 3 3 3 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 3 3 3 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 9 3 3 6 6 6 6 6 6 6 6 7 7 6 6 6\n6 6 6 6 3 3 6 6 6 6 6 6 6 6 6 7 7 6 6 6\n6 6 6 6 3 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 9 9 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 9 9 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 9 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\nOutput:\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 9 3 3 6 6 6 6 3 3 6 6 7 7 6 6 6\n6 6 6 6 3 3 6 6 6 6 6 3 3 6 6 7 7 6 6 6\n6 6 6 6 3 6 7 6 6 6 6 3 3 3 3 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 3 3 3 3 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 9 9 3 3 3 3 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 9 9 3 3 3 3 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 9 3 3 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 3 3 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 3 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n\nExample 2:\n\nInput:\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3\n3 3 3 3 3 9 7 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 7 7 7 3 3 3 3 3 3 9 3 3 3 3 3 3\n3 3 3 3 3 3 7 2 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 9 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\nOutput:\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 2 3 3 3 3\n3 3 3 3 3 9 7 3 3 3 3 3 3 3 7 7 7 3 3 3 3\n3 3 3 3 3 7 7 7 3 3 3 3 3 3 9 7 3 3 3 3 3\n3 3 3 3 3 3 7 2 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 2 7 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 7 7 7 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 7 9 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n\nExample 3:\n\nInput:\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 6 6 9 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 6 2 6 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 8 6 6 2 2 2 2 2 2 2 2 8 8 8 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 8 8 8 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 8 8 8 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 9 9 9 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 9 9 9 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 9 9 9 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\nOutput:\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 6 6 9 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 6 2 6 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 8 6 6 2 2 6 6 6 6 6 6 8 8 8 2 2 2 2\n2 2 2 2 2 2 2 6 6 6 6 6 6 8 8 8 2 2 2 2\n2 2 2 2 2 2 2 6 6 6 6 6 6 8 8 8 2 2 2 2\n2 2 2 2 2 2 2 6 6 6 2 2 2 6 6 6 2 2 2 2\n2 2 2 2 2 2 2 6 6 6 2 2 2 6 6 6 2 2 2 2\n2 2 2 2 2 2 2 6 6 6 2 2 2 6 6 6 2 2 2 2\n2 2 2 2 2 2 2 9 9 9 6 6 6 6 6 6 2 2 2 2\n2 2 2 2 2 2 2 9 9 9 6 6 6 6 6 6 2 2 2 2\n2 2 2 2 2 2 2 9 9 9 6 6 6 6 6 6 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 2 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 3 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 3 7 3 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 2 3 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 2 2 2 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 2 2 2 7 7 7 7 7 7 7 7 7 7 7 7 7 2 2 7 7 7\n7 2 2 2 7 7 7 7 7 7 7 7 7 7 7 7 7 2 2 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 6 6 6 7 7 7 6 6 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n", "answer": "7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 6 3 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 3 7 3 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 3 2 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 3 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 3 7 3 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 2 3 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 2 2 2 3 3 3 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 2 2 2 3 3 3 7 7 7 7 7 7 7 7 3 3 2 2 7 7 7\n7 2 2 2 3 3 3 7 7 7 7 7 7 7 7 3 3 2 2 7 7 7\n7 3 3 3 7 7 7 3 3 3 7 7 7 3 3 7 7 3 3 7 7 7\n7 3 3 3 7 7 7 3 3 3 7 7 7 3 3 7 7 3 3 7 7 7\n7 3 3 3 7 7 7 3 3 3 7 7 7 6 6 3 3 7 7 7 7 7\n7 7 7 7 3 3 3 6 6 6 7 7 7 6 6 3 3 7 7 7 7 7\n7 7 7 7 3 3 3 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 3 3 3 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7", "metadata": {"source_dataset": "arc_agi", "source_index": 272, "input": [[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 3, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 3, 7, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 2, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 2, 2, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 2, 2, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 7, 7, 7], [7, 2, 2, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 7, 7, 7, 6, 6, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7]], "output": [[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 3, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 7, 3, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 2, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 3, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 3, 7, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 2, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 2, 2, 2, 3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 2, 2, 2, 3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 2, 2, 7, 7, 7], [7, 2, 2, 2, 3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 2, 2, 7, 7, 7], [7, 3, 3, 3, 7, 7, 7, 3, 3, 3, 7, 7, 7, 3, 3, 7, 7, 3, 3, 7, 7, 7], [7, 3, 3, 3, 7, 7, 7, 3, 3, 3, 7, 7, 7, 3, 3, 7, 7, 3, 3, 7, 7, 7], [7, 3, 3, 3, 7, 7, 7, 3, 3, 3, 7, 7, 7, 6, 6, 3, 3, 7, 7, 7, 7, 7], [7, 7, 7, 7, 3, 3, 3, 6, 6, 6, 7, 7, 7, 6, 6, 3, 3, 7, 7, 7, 7, 7], [7, 7, 7, 7, 3, 3, 3, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 3, 3, 3, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7]], "task_id": "6aa20dc0", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 272, "input": [[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 3, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 3, 7, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 2, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 2, 2, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 2, 2, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 7, 7, 7], [7, 2, 2, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 7, 7, 7, 6, 6, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7]], "output": [[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 3, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 7, 3, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 2, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 3, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 3, 7, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 2, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 2, 2, 2, 3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 2, 2, 2, 3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 2, 2, 7, 7, 7], [7, 2, 2, 2, 3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 2, 2, 7, 7, 7], [7, 3, 3, 3, 7, 7, 7, 3, 3, 3, 7, 7, 7, 3, 3, 7, 7, 3, 3, 7, 7, 7], [7, 3, 3, 3, 7, 7, 7, 3, 3, 3, 7, 7, 7, 3, 3, 7, 7, 3, 3, 7, 7, 7], [7, 3, 3, 3, 7, 7, 7, 3, 3, 3, 7, 7, 7, 6, 6, 3, 3, 7, 7, 7, 7, 7], [7, 7, 7, 7, 3, 3, 3, 6, 6, 6, 7, 7, 7, 6, 6, 3, 3, 7, 7, 7, 7, 7], [7, 7, 7, 7, 3, 3, 3, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 3, 3, 3, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7]], "task_id": "6aa20dc0", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null
General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 6 3 3 6 6 3 6 3 3 6 3 3 3 3 3 6 6 3 6 6 3 6 3 3 6 Output: 6 3 3 6 Example 2: Input: 5 3 3 5 3 5 5 3 5 5 3 3 3 3 3 5 5 3 5 3 3 5 3 5 5 Output: 5 5 3 5 Example 3: Input: 3 2 3 3 2 2 3 3 2 3 3 3 3 3 3 3 2 3 3 2 2 3 3 2 2 Output: 3 2 2 2 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 3 0 3 0 0 0 3 3 0 3 3 3 3 3 3 0 0 3 0 0 0 3 3 0 3
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "3 0\n0 3", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n6 3 3 6 6\n3 6 3 3 6\n3 3 3 3 3\n6 6 3 6 6\n3 6 3 3 6\nOutput:\n6 3\n3 6\n\nExample 2:\n\nInput:\n5 3 3 5 3\n5 5 3 5 5\n3 3 3 3 3\n5 5 3 5 3\n3 5 3 5 5\nOutput:\n5 5\n3 5\n\nExample 3:\n\nInput:\n3 2 3 3 2\n2 3 3 2 3\n3 3 3 3 3\n3 2 3 3 2\n2 3 3 2 2\nOutput:\n3 2\n2 2\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n3 0 3 0 0\n0 3 3 0 3\n3 3 3 3 3\n0 0 3 0 0\n0 3 3 0 3\n", "answer": "3 0\n0 3", "metadata": {"source_dataset": "arc_agi", "source_index": 273, "input": [[3, 0, 3, 0, 0], [0, 3, 3, 0, 3], [3, 3, 3, 3, 3], [0, 0, 3, 0, 0], [0, 3, 3, 0, 3]], "output": [[3, 0], [0, 3]], "task_id": "88a62173", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 273, "input": [[3, 0, 3, 0, 0], [0, 3, 3, 0, 3], [3, 3, 3, 3, 3], [0, 0, 3, 0, 0], [0, 3, 3, 0, 3]], "output": [[3, 0], [0, 3]], "task_id": "88a62173", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
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General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 7 0 7 1 1 1 6 6 6 7 7 7 1 1 1 6 6 6 7 7 7 1 0 1 6 6 6 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 0 1 1 1 1 1 1 0 1 1 1 Output: 1 1 1 7 1 6 1 1 1 Example 2: Input: 0 3 3 1 1 1 4 4 4 3 3 3 1 1 1 4 0 4 3 3 3 1 1 1 4 4 4 1 1 0 7 7 7 1 1 1 0 1 1 7 7 0 1 1 1 1 1 1 7 7 7 1 1 1 9 9 9 1 1 1 8 8 8 0 9 9 1 1 1 8 8 8 9 9 9 1 1 1 8 8 8 Output: 3 1 4 1 7 1 9 1 8 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 1 1 1 1 1 1 1 3 3 3 8 8 8 1 1 1 3 0 3 8 8 8 0 1 1 3 3 3 8 8 8 1 1 1 1 1 0 1 1 1 5 5 5 1 1 1 1 1 1 5 5 5 1 1 1 1 1 1 5 0 5
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "1 1 1\n3 8 1\n1 1 5", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n1 1 1 1 1 1 1 1 1\n1 1 1 1 0 1 1 1 1\n1 1 1 1 1 1 1 1 1\n7 0 7 1 1 1 6 6 6\n7 7 7 1 1 1 6 6 6\n7 7 7 1 0 1 6 6 6\n1 1 1 1 1 1 1 1 1\n1 1 0 1 1 1 1 0 1\n1 1 1 1 1 0 1 1 1\nOutput:\n1 1 1\n7 1 6\n1 1 1\n\nExample 2:\n\nInput:\n0 3 3 1 1 1 4 4 4\n3 3 3 1 1 1 4 0 4\n3 3 3 1 1 1 4 4 4\n1 1 0 7 7 7 1 1 1\n0 1 1 7 7 0 1 1 1\n1 1 1 7 7 7 1 1 1\n9 9 9 1 1 1 8 8 8\n0 9 9 1 1 1 8 8 8\n9 9 9 1 1 1 8 8 8\nOutput:\n3 1 4\n1 7 1\n9 1 8\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n1 1 1 1 1 1 1 1 1\n1 1 1 1 1 0 1 1 0\n1 1 1 1 1 1 1 1 1\n3 3 3 8 8 8 1 1 1\n3 0 3 8 8 8 0 1 1\n3 3 3 8 8 8 1 1 1\n1 1 0 1 1 1 5 5 5\n1 1 1 1 1 1 5 5 5\n1 1 1 1 1 1 5 0 5\n", "answer": "1 1 1\n3 8 1\n1 1 5", "metadata": {"source_dataset": "arc_agi", "source_index": 274, "input": [[1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 0, 1, 1, 0], [1, 1, 1, 1, 1, 1, 1, 1, 1], [3, 3, 3, 8, 8, 8, 1, 1, 1], [3, 0, 3, 8, 8, 8, 0, 1, 1], [3, 3, 3, 8, 8, 8, 1, 1, 1], [1, 1, 0, 1, 1, 1, 5, 5, 5], [1, 1, 1, 1, 1, 1, 5, 5, 5], [1, 1, 1, 1, 1, 1, 5, 0, 5]], "output": [[1, 1, 1], [3, 8, 1], [1, 1, 5]], "task_id": "5614dbcf", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 274, "input": [[1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 0, 1, 1, 0], [1, 1, 1, 1, 1, 1, 1, 1, 1], [3, 3, 3, 8, 8, 8, 1, 1, 1], [3, 0, 3, 8, 8, 8, 0, 1, 1], [3, 3, 3, 8, 8, 8, 1, 1, 1], [1, 1, 0, 1, 1, 1, 5, 5, 5], [1, 1, 1, 1, 1, 1, 5, 5, 5], [1, 1, 1, 1, 1, 1, 5, 0, 5]], "output": [[1, 1, 1], [3, 8, 1], [1, 1, 5]], "task_id": "5614dbcf", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
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General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 3 3 3 3 3 3 3 9 9 8 8 3 3 3 3 3 3 3 3 9 9 8 3 3 3 3 3 3 3 3 9 9 9 8 3 3 3 3 3 3 3 9 9 9 9 8 8 3 3 3 3 3 3 3 3 9 9 8 3 3 3 3 3 3 3 3 3 3 9 8 3 3 3 3 3 3 3 3 3 3 9 8 8 3 3 3 3 3 3 3 3 3 9 8 3 3 3 3 3 8 3 3 3 3 9 8 8 3 3 8 8 8 3 3 8 3 9 8 8 8 8 8 8 8 8 8 8 8 9 Output: 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 5 3 3 3 5 3 3 9 9 8 8 3 5 3 3 3 5 3 3 9 9 8 3 3 5 3 3 3 5 3 9 9 9 8 3 3 5 3 3 3 5 9 9 9 9 8 8 3 5 3 3 3 5 3 3 9 9 8 5 5 5 5 5 5 5 5 5 5 9 8 5 5 5 5 5 5 5 5 5 5 9 8 8 3 5 3 3 3 5 3 3 3 9 8 3 3 5 3 3 8 5 3 3 3 9 8 8 3 5 8 8 8 5 3 8 3 9 8 8 8 8 8 8 8 8 8 8 8 9 Example 2: Input: 9 9 9 9 9 8 8 8 8 8 8 8 9 9 3 3 3 3 3 3 3 3 8 8 9 3 3 3 3 3 3 3 3 8 8 8 9 3 3 3 3 3 3 3 3 8 8 8 9 9 9 3 3 3 3 3 3 3 8 8 9 9 9 3 3 3 3 3 3 3 3 8 9 9 3 3 3 3 3 3 3 8 8 8 9 3 3 3 3 3 3 3 3 3 8 8 9 3 3 3 3 3 3 3 3 3 3 8 9 9 3 3 3 3 3 3 3 3 3 8 9 9 9 3 3 3 3 3 3 3 3 8 9 9 9 9 9 9 9 9 9 9 9 8 Output: 9 9 9 9 9 8 8 8 8 8 8 8 9 9 3 5 5 5 5 5 5 3 8 8 9 3 3 5 5 5 5 5 5 8 8 8 9 3 3 5 5 5 5 5 5 8 8 8 9 9 9 5 5 5 5 5 5 3 8 8 9 9 9 5 5 5 5 5 5 3 3 8 9 9 3 5 5 5 5 5 5 8 8 8 9 3 3 5 5 5 5 5 5 3 8 8 9 5 5 5 5 5 5 5 5 5 5 8 9 9 3 5 5 5 5 5 5 3 3 8 9 9 9 5 5 5 5 5 5 3 3 8 9 9 9 9 9 9 9 9 9 9 9 8 Example 3: Input: 8 8 8 8 8 8 8 8 8 8 8 8 3 3 3 8 8 3 3 9 8 8 8 3 3 3 3 3 9 9 8 8 8 3 3 3 3 3 3 9 8 8 3 3 3 3 3 3 9 9 8 3 3 3 3 3 3 9 9 9 8 3 3 3 3 3 3 3 3 9 8 3 3 3 3 3 3 3 9 9 8 8 3 3 3 3 9 9 9 9 9 9 9 9 9 9 9 9 9 9 Output: 8 8 8 8 8 8 8 8 8 8 8 8 3 5 5 8 8 3 3 9 8 8 8 5 5 3 3 3 9 9 8 8 8 5 5 3 3 3 3 9 8 8 3 5 5 3 3 3 9 9 8 3 3 5 5 3 3 9 9 9 8 5 5 5 5 5 5 5 5 9 8 3 3 5 5 3 3 3 9 9 8 8 3 5 5 3 9 9 9 9 9 9 9 9 9 9 9 9 9 9 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 3 3 3 3 3 8 8 3 3 8 9 8 8 3 3 3 3 3 3 8 3 3 3 9 9 8 3 3 3 3 3 3 3 3 3 3 3 3 9 8 3 3 3 3 3 3 3 3 3 3 3 3 9 8 3 3 3 3 3 3 3 3 3 3 3 9 9 8 3 3 3 3 3 3 3 3 3 3 3 9 9 8 8 3 3 3 3 3 3 3 3 3 3 9 9 8 8 3 3 3 3 3 3 3 3 3 3 3 9 8 3 3 3 3 3 3 3 3 3 3 3 3 9 8 8 3 3 3 3 3 3 3 3 3 3 9 9 8 3 3 3 3 3 3 3 3 9 3 9 9 9 8 9 9 3 9 9 9 3 9 9 3 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "8 8 8 8 8 8 8 8 8 8 8 8 8 9\n8 8 8 5 3 3 3 5 8 8 5 3 8 9\n8 8 3 5 3 3 3 5 8 3 5 3 9 9\n8 5 5 5 5 5 5 5 5 5 5 5 5 9\n8 5 5 5 5 5 5 5 5 5 5 5 5 9\n8 3 3 5 3 3 3 5 3 3 5 3 9 9\n8 3 3 5 3 3 3 5 3 3 5 3 9 9\n8 8 3 5 3 3 3 5 3 3 5 3 9 9\n8 8 3 5 3 3 3 5 3 3 5 3 3 9\n8 5 5 5 5 5 5 5 5 5 5 5 5 9\n8 8 3 5 3 3 3 5 3 3 5 3 9 9\n8 3 3 5 3 3 3 5 3 9 5 9 9 9\n8 9 9 5 9 9 9 5 9 9 5 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n8 8 8 9 9 9 9 9 9 9 9 9\n8 8 8 3 3 3 3 3 3 3 9 9\n8 8 3 3 3 3 3 3 3 3 9 9\n8 3 3 3 3 3 3 3 3 9 9 9\n8 3 3 3 3 3 3 3 9 9 9 9\n8 8 3 3 3 3 3 3 3 3 9 9\n8 3 3 3 3 3 3 3 3 3 3 9\n8 3 3 3 3 3 3 3 3 3 3 9\n8 8 3 3 3 3 3 3 3 3 3 9\n8 3 3 3 3 3 8 3 3 3 3 9\n8 8 3 3 8 8 8 3 3 8 3 9\n8 8 8 8 8 8 8 8 8 8 8 9\nOutput:\n8 8 8 9 9 9 9 9 9 9 9 9\n8 8 8 5 3 3 3 5 3 3 9 9\n8 8 3 5 3 3 3 5 3 3 9 9\n8 3 3 5 3 3 3 5 3 9 9 9\n8 3 3 5 3 3 3 5 9 9 9 9\n8 8 3 5 3 3 3 5 3 3 9 9\n8 5 5 5 5 5 5 5 5 5 5 9\n8 5 5 5 5 5 5 5 5 5 5 9\n8 8 3 5 3 3 3 5 3 3 3 9\n8 3 3 5 3 3 8 5 3 3 3 9\n8 8 3 5 8 8 8 5 3 8 3 9\n8 8 8 8 8 8 8 8 8 8 8 9\n\nExample 2:\n\nInput:\n9 9 9 9 9 8 8 8 8 8 8 8\n9 9 3 3 3 3 3 3 3 3 8 8\n9 3 3 3 3 3 3 3 3 8 8 8\n9 3 3 3 3 3 3 3 3 8 8 8\n9 9 9 3 3 3 3 3 3 3 8 8\n9 9 9 3 3 3 3 3 3 3 3 8\n9 9 3 3 3 3 3 3 3 8 8 8\n9 3 3 3 3 3 3 3 3 3 8 8\n9 3 3 3 3 3 3 3 3 3 3 8\n9 9 3 3 3 3 3 3 3 3 3 8\n9 9 9 3 3 3 3 3 3 3 3 8\n9 9 9 9 9 9 9 9 9 9 9 8\nOutput:\n9 9 9 9 9 8 8 8 8 8 8 8\n9 9 3 5 5 5 5 5 5 3 8 8\n9 3 3 5 5 5 5 5 5 8 8 8\n9 3 3 5 5 5 5 5 5 8 8 8\n9 9 9 5 5 5 5 5 5 3 8 8\n9 9 9 5 5 5 5 5 5 3 3 8\n9 9 3 5 5 5 5 5 5 8 8 8\n9 3 3 5 5 5 5 5 5 3 8 8\n9 5 5 5 5 5 5 5 5 5 5 8\n9 9 3 5 5 5 5 5 5 3 3 8\n9 9 9 5 5 5 5 5 5 3 3 8\n9 9 9 9 9 9 9 9 9 9 9 8\n\nExample 3:\n\nInput:\n8 8 8 8 8 8 8 8 8 8\n8 8 3 3 3 8 8 3 3 9\n8 8 8 3 3 3 3 3 9 9\n8 8 8 3 3 3 3 3 3 9\n8 8 3 3 3 3 3 3 9 9\n8 3 3 3 3 3 3 9 9 9\n8 3 3 3 3 3 3 3 3 9\n8 3 3 3 3 3 3 3 9 9\n8 8 3 3 3 3 9 9 9 9\n9 9 9 9 9 9 9 9 9 9\nOutput:\n8 8 8 8 8 8 8 8 8 8\n8 8 3 5 5 8 8 3 3 9\n8 8 8 5 5 3 3 3 9 9\n8 8 8 5 5 3 3 3 3 9\n8 8 3 5 5 3 3 3 9 9\n8 3 3 5 5 3 3 9 9 9\n8 5 5 5 5 5 5 5 5 9\n8 3 3 5 5 3 3 3 9 9\n8 8 3 5 5 3 9 9 9 9\n9 9 9 9 9 9 9 9 9 9\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n8 8 8 8 8 8 8 8 8 8 8 8 8 9\n8 8 8 3 3 3 3 3 8 8 3 3 8 9\n8 8 3 3 3 3 3 3 8 3 3 3 9 9\n8 3 3 3 3 3 3 3 3 3 3 3 3 9\n8 3 3 3 3 3 3 3 3 3 3 3 3 9\n8 3 3 3 3 3 3 3 3 3 3 3 9 9\n8 3 3 3 3 3 3 3 3 3 3 3 9 9\n8 8 3 3 3 3 3 3 3 3 3 3 9 9\n8 8 3 3 3 3 3 3 3 3 3 3 3 9\n8 3 3 3 3 3 3 3 3 3 3 3 3 9\n8 8 3 3 3 3 3 3 3 3 3 3 9 9\n8 3 3 3 3 3 3 3 3 9 3 9 9 9\n8 9 9 3 9 9 9 3 9 9 3 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9\n", "answer": "8 8 8 8 8 8 8 8 8 8 8 8 8 9\n8 8 8 5 3 3 3 5 8 8 5 3 8 9\n8 8 3 5 3 3 3 5 8 3 5 3 9 9\n8 5 5 5 5 5 5 5 5 5 5 5 5 9\n8 5 5 5 5 5 5 5 5 5 5 5 5 9\n8 3 3 5 3 3 3 5 3 3 5 3 9 9\n8 3 3 5 3 3 3 5 3 3 5 3 9 9\n8 8 3 5 3 3 3 5 3 3 5 3 9 9\n8 8 3 5 3 3 3 5 3 3 5 3 3 9\n8 5 5 5 5 5 5 5 5 5 5 5 5 9\n8 8 3 5 3 3 3 5 3 3 5 3 9 9\n8 3 3 5 3 3 3 5 3 9 5 9 9 9\n8 9 9 5 9 9 9 5 9 9 5 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9", "metadata": {"source_dataset": "arc_agi", "source_index": 275, "input": [[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9], [8, 8, 8, 3, 3, 3, 3, 3, 8, 8, 3, 3, 8, 9], [8, 8, 3, 3, 3, 3, 3, 3, 8, 3, 3, 3, 9, 9], [8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9], [8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9], [8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 9], [8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 9], [8, 8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 9], [8, 8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9], [8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9], [8, 8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 9], [8, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 9, 9, 9], [8, 9, 9, 3, 9, 9, 9, 3, 9, 9, 3, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]], "output": [[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9], [8, 8, 8, 5, 3, 3, 3, 5, 8, 8, 5, 3, 8, 9], [8, 8, 3, 5, 3, 3, 3, 5, 8, 3, 5, 3, 9, 9], [8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9], [8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9], [8, 3, 3, 5, 3, 3, 3, 5, 3, 3, 5, 3, 9, 9], [8, 3, 3, 5, 3, 3, 3, 5, 3, 3, 5, 3, 9, 9], [8, 8, 3, 5, 3, 3, 3, 5, 3, 3, 5, 3, 9, 9], [8, 8, 3, 5, 3, 3, 3, 5, 3, 3, 5, 3, 3, 9], [8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9], [8, 8, 3, 5, 3, 3, 3, 5, 3, 3, 5, 3, 9, 9], [8, 3, 3, 5, 3, 3, 3, 5, 3, 9, 5, 9, 9, 9], [8, 9, 9, 5, 9, 9, 9, 5, 9, 9, 5, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]], "task_id": "2bee17df", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 275, "input": [[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9], [8, 8, 8, 3, 3, 3, 3, 3, 8, 8, 3, 3, 8, 9], [8, 8, 3, 3, 3, 3, 3, 3, 8, 3, 3, 3, 9, 9], [8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9], [8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9], [8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 9], [8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 9], [8, 8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 9], [8, 8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9], [8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9], [8, 8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 9], [8, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 9, 9, 9], [8, 9, 9, 3, 9, 9, 9, 3, 9, 9, 3, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]], "output": [[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9], [8, 8, 8, 5, 3, 3, 3, 5, 8, 8, 5, 3, 8, 9], [8, 8, 3, 5, 3, 3, 3, 5, 8, 3, 5, 3, 9, 9], [8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9], [8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9], [8, 3, 3, 5, 3, 3, 3, 5, 3, 3, 5, 3, 9, 9], [8, 3, 3, 5, 3, 3, 3, 5, 3, 3, 5, 3, 9, 9], [8, 8, 3, 5, 3, 3, 3, 5, 3, 3, 5, 3, 9, 9], [8, 8, 3, 5, 3, 3, 3, 5, 3, 3, 5, 3, 3, 9], [8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9], [8, 8, 3, 5, 3, 3, 3, 5, 3, 3, 5, 3, 9, 9], [8, 3, 3, 5, 3, 3, 3, 5, 3, 9, 5, 9, 9, 9], [8, 9, 9, 5, 9, 9, 9, 5, 9, 9, 5, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]], "task_id": "2bee17df", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
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General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 0 7 9 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 3 7 0 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 Output: 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 7 0 7 0 7 0 7 0 7 0 7 0 7 0 7 9 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 0 7 3 7 7 7 7 7 7 7 7 7 7 7 3 7 0 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 0 7 7 7 6 7 7 7 7 7 7 7 6 7 7 7 0 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 0 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 0 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 0 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 0 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 0 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 0 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 0 7 7 7 6 7 7 7 7 7 7 7 6 7 7 7 0 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 0 7 3 7 7 7 7 7 7 7 7 7 7 7 3 7 0 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 7 0 7 0 7 0 7 0 7 0 7 0 7 0 7 9 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 Example 2: Input: 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 0 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 7 3 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 3 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 Output: 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 0 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 0 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 7 3 7 3 7 3 7 3 7 3 7 9 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 3 7 7 7 7 7 7 7 7 7 7 7 3 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 3 7 7 7 7 7 7 7 7 7 7 7 3 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 3 7 7 7 7 7 7 7 7 7 7 7 3 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 3 7 7 7 7 7 7 7 7 7 7 7 3 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 3 7 7 7 7 7 7 7 7 7 7 7 3 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 7 3 7 3 7 3 7 3 7 3 7 9 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 0 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 0 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 Example 3: Input: 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 3 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 3 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 Output: 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 3 7 3 7 3 7 3 7 3 7 3 7 3 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 3 7 8 7 7 7 7 7 7 7 7 7 7 7 8 7 3 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 3 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 3 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 3 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 3 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 3 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 3 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 3 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 3 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 3 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 3 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 3 7 8 7 7 7 7 7 7 7 7 7 7 7 8 7 3 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 3 7 3 7 3 7 3 7 3 7 3 7 3 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 9 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 0 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 0 7 3 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 3 7 0 7 0 7 0 7 0 7 0 7 0 7 0 7 3 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 0 7 8 7 7 7 7 7 7 7 7 7 7 7 8 7 0 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 0 7 7 7 9 7 6 7 6 7 6 7 9 7 7 7 0 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 0 7 7 7 6 7 7 7 7 7 7 7 6 7 7 7 0 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 0 7 7 7 6 7 7 7 7 7 7 7 6 7 7 7 0 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 0 7 7 7 6 7 7 7 7 7 7 7 6 7 7 7 0 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 0 7 7 7 9 7 6 7 6 7 6 7 9 7 7 7 0 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 0 7 8 7 7 7 7 7 7 7 7 7 7 7 8 7 0 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 3 7 0 7 0 7 0 7 0 7 0 7 0 7 0 7 3 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 0 7 9 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 3 7 0 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\nOutput:\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 9 7 0 7 0 7 0 7 0 7 0 7 0 7 0 7 9 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 0 7 3 7 7 7 7 7 7 7 7 7 7 7 3 7 0 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 0 7 7 7 6 7 7 7 7 7 7 7 6 7 7 7 0 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 0 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 0 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 0 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 0 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 0 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 0 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 0 7 7 7 6 7 7 7 7 7 7 7 6 7 7 7 0 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 0 7 3 7 7 7 7 7 7 7 7 7 7 7 3 7 0 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 9 7 0 7 0 7 0 7 0 7 0 7 0 7 0 7 9 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n\nExample 2:\n\nInput:\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 0 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 9 7 3 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 3 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\nOutput:\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 0 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 0 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 9 7 3 7 3 7 3 7 3 7 3 7 9 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 3 7 7 7 7 7 7 7 7 7 7 7 3 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 3 7 7 7 7 7 7 7 7 7 7 7 3 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 3 7 7 7 7 7 7 7 7 7 7 7 3 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 3 7 7 7 7 7 7 7 7 7 7 7 3 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 3 7 7 7 7 7 7 7 7 7 7 7 3 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 9 7 3 7 3 7 3 7 3 7 3 7 9 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 0 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 0 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n\nExample 3:\n\nInput:\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 3 7 6 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 3 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\nOutput:\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 6 7 3 7 3 7 3 7 3 7 3 7 3 7 3 7 6 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 3 7 8 7 7 7 7 7 7 7 7 7 7 7 8 7 3 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 3 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 3 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 3 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 3 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 3 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 3 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 3 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 3 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 3 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 3 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 3 7 8 7 7 7 7 7 7 7 7 7 7 7 8 7 3 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 6 7 3 7 3 7 3 7 3 7 3 7 3 7 3 7 6 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 6 7 9 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 0 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 0 7 3 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n", "answer": "7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 3 7 0 7 0 7 0 7 0 7 0 7 0 7 0 7 3 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 0 7 8 7 7 7 7 7 7 7 7 7 7 7 8 7 0 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 0 7 7 7 9 7 6 7 6 7 6 7 9 7 7 7 0 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 0 7 7 7 6 7 7 7 7 7 7 7 6 7 7 7 0 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 0 7 7 7 6 7 7 7 7 7 7 7 6 7 7 7 0 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 0 7 7 7 6 7 7 7 7 7 7 7 6 7 7 7 0 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 0 7 7 7 9 7 6 7 6 7 6 7 9 7 7 7 0 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 0 7 8 7 7 7 7 7 7 7 7 7 7 7 8 7 0 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 3 7 0 7 0 7 0 7 0 7 0 7 0 7 0 7 3 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7", "metadata": {"source_dataset": "arc_agi", "source_index": 276, "input": [[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 7, 9, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 7, 0, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 3, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7]], "output": [[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 3, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 3, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 0, 7, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 7, 0, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 0, 7, 7, 7, 9, 7, 6, 7, 6, 7, 6, 7, 9, 7, 7, 7, 0, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 0, 7, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 6, 7, 7, 7, 0, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 0, 7, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 6, 7, 7, 7, 0, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 0, 7, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 6, 7, 7, 7, 0, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 0, 7, 7, 7, 9, 7, 6, 7, 6, 7, 6, 7, 9, 7, 7, 7, 0, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 0, 7, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 7, 0, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 3, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 3, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7]], "task_id": "9d9215db", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 276, "input": [[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 7, 9, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 7, 0, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 3, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7]], "output": [[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 3, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 3, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 0, 7, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 7, 0, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 0, 7, 7, 7, 9, 7, 6, 7, 6, 7, 6, 7, 9, 7, 7, 7, 0, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 0, 7, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 6, 7, 7, 7, 0, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 0, 7, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 6, 7, 7, 7, 0, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 0, 7, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 6, 7, 7, 7, 0, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 0, 7, 7, 7, 9, 7, 6, 7, 6, 7, 6, 7, 9, 7, 7, 7, 0, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 0, 7, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 7, 0, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 3, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 3, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7]], "task_id": "9d9215db", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null
General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 Output: 1 1 1 1 1 1 1 1 1 8 8 8 8 8 8 8 8 1 7 7 7 8 7 7 7 1 7 7 7 8 7 7 7 8 1 7 1 7 8 7 1 7 1 7 8 7 8 7 8 7 8 1 7 7 7 8 7 7 7 1 7 7 7 8 7 7 7 8 1 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 1 7 7 7 8 7 7 7 1 7 7 7 8 7 7 7 8 1 7 1 7 8 7 1 7 1 7 8 7 8 7 8 7 8 1 7 7 7 8 7 7 7 1 7 7 7 8 7 7 7 8 1 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 1 7 7 7 8 7 7 7 1 7 7 7 8 7 7 7 8 1 7 1 7 8 7 1 7 1 7 8 7 8 7 8 7 8 1 7 7 7 8 7 7 7 1 7 7 7 8 7 7 7 8 1 1 1 1 1 1 1 1 1 8 8 8 8 8 8 8 8 8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 Example 2: Input: 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 2 8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8 8 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 2 8 8 8 8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8 8 8 8 8 4 8 8 8 8 8 8 8 8 8 8 8 8 Output: 8 8 8 8 8 8 8 8 8 8 8 8 2 2 2 2 2 8 7 7 7 8 7 7 7 8 7 7 7 2 7 7 7 2 8 7 8 7 8 7 8 7 8 7 8 7 2 7 2 7 2 8 7 7 7 8 7 7 7 8 7 7 7 2 7 7 7 2 4 4 4 4 4 8 8 8 8 8 8 8 2 8 8 8 2 4 7 7 7 4 7 7 7 8 7 7 7 2 7 7 7 2 4 7 4 7 4 7 8 7 8 7 8 7 2 7 2 7 2 4 7 7 7 4 7 7 7 8 7 7 7 2 7 7 7 2 4 8 8 8 4 8 8 8 8 8 8 8 2 2 2 2 2 4 7 7 7 4 7 7 7 8 7 7 7 8 7 7 7 8 4 7 4 7 4 7 8 7 8 7 8 7 8 7 8 7 8 4 7 7 7 4 7 7 7 8 7 7 7 8 7 7 7 8 4 8 8 8 4 8 8 8 8 8 8 8 8 8 8 8 8 4 7 7 7 4 7 7 7 8 7 7 7 8 7 7 7 8 4 7 4 7 4 7 8 7 8 7 8 7 8 7 8 7 8 4 7 7 7 4 7 7 7 8 7 7 7 8 7 7 7 8 4 4 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 Example 3: Input: 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 7 7 7 0 7 7 7 8 7 7 7 8 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 8 7 7 7 8 7 7 7 8 7 7 7 0 7 7 7 8 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8 8 8 8 5 8 8 8 8 8 8 8 8 8 8 8 8 8 Output: 8 8 8 8 8 8 8 8 0 0 0 0 0 8 8 8 8 8 7 7 7 8 7 7 7 0 7 7 7 0 7 7 7 8 8 7 8 7 8 7 8 7 0 7 0 7 0 7 8 7 8 8 7 7 7 8 7 7 7 0 7 7 7 0 7 7 7 8 8 8 8 8 8 8 8 8 0 8 8 8 0 8 8 8 8 8 7 7 7 8 7 7 7 0 7 7 7 0 7 7 7 8 8 7 8 7 8 7 8 7 0 7 0 7 0 7 8 7 8 8 7 7 7 8 7 7 7 0 7 7 7 0 7 7 7 8 8 8 8 8 8 8 8 8 0 8 8 8 0 8 8 8 8 8 7 7 7 8 7 7 7 0 7 7 7 0 7 7 7 8 8 7 8 7 8 7 8 7 0 7 0 7 0 7 8 7 8 8 7 7 7 8 7 7 7 0 7 7 7 0 7 7 7 8 5 5 5 5 5 8 8 8 0 0 0 0 0 8 8 8 8 5 7 7 7 5 7 7 7 8 7 7 7 8 7 7 7 8 5 7 5 7 5 7 8 7 8 7 8 7 8 7 8 7 8 5 7 7 7 5 7 7 7 8 7 7 7 8 7 7 7 8 5 5 5 5 5 8 8 8 8 8 8 8 8 8 8 8 8 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8 8 7 8 7 8 7 8 7 8 7 8 7 8 7 1 7 8 8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8 8 7 8 7 8 7 8 7 8 7 8 7 8 7 1 7 8 8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8 8 8 8 8 8 8 8 9 8 8 8 8 8 1 8 8 8 8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8\n8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8\n8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8\n9 9 9 9 9 9 9 9 9 8 8 8 1 1 1 1 1\n9 7 7 7 8 7 7 7 9 7 7 7 1 7 7 7 1\n9 7 9 7 8 7 9 7 9 7 8 7 1 7 1 7 1\n9 7 7 7 8 7 7 7 9 7 7 7 1 7 7 7 1\n9 8 8 8 8 8 8 8 9 8 8 8 1 8 8 8 1\n9 7 7 7 8 7 7 7 9 7 7 7 1 7 7 7 1\n9 7 9 7 8 7 9 7 9 7 8 7 1 7 1 7 1\n9 7 7 7 8 7 7 7 9 7 7 7 1 7 7 7 1\n9 9 9 9 9 9 9 9 9 8 8 8 1 1 1 1 1\n8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8\n8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8\n8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8\n8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8\n8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8\n8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8\n8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8\n8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8\n8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8\n8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8\n8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8\n8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8\n8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\nOutput:\n1 1 1 1 1 1 1 1 1 8 8 8 8 8 8 8 8\n1 7 7 7 8 7 7 7 1 7 7 7 8 7 7 7 8\n1 7 1 7 8 7 1 7 1 7 8 7 8 7 8 7 8\n1 7 7 7 8 7 7 7 1 7 7 7 8 7 7 7 8\n1 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8\n1 7 7 7 8 7 7 7 1 7 7 7 8 7 7 7 8\n1 7 1 7 8 7 1 7 1 7 8 7 8 7 8 7 8\n1 7 7 7 8 7 7 7 1 7 7 7 8 7 7 7 8\n1 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8\n1 7 7 7 8 7 7 7 1 7 7 7 8 7 7 7 8\n1 7 1 7 8 7 1 7 1 7 8 7 8 7 8 7 8\n1 7 7 7 8 7 7 7 1 7 7 7 8 7 7 7 8\n1 1 1 1 1 1 1 1 1 8 8 8 8 8 8 8 8\n8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8\n8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8\n8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n\nExample 2:\n\nInput:\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 2\n8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8\n8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8\n8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8\n8 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8\n8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8\n8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 2 8 8 8\n8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8\n8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8\n8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8\n8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8\n8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8\n8 8 8 8 4 8 8 8 8 8 8 8 8 8 8 8 8\nOutput:\n8 8 8 8 8 8 8 8 8 8 8 8 2 2 2 2 2\n8 7 7 7 8 7 7 7 8 7 7 7 2 7 7 7 2\n8 7 8 7 8 7 8 7 8 7 8 7 2 7 2 7 2\n8 7 7 7 8 7 7 7 8 7 7 7 2 7 7 7 2\n4 4 4 4 4 8 8 8 8 8 8 8 2 8 8 8 2\n4 7 7 7 4 7 7 7 8 7 7 7 2 7 7 7 2\n4 7 4 7 4 7 8 7 8 7 8 7 2 7 2 7 2\n4 7 7 7 4 7 7 7 8 7 7 7 2 7 7 7 2\n4 8 8 8 4 8 8 8 8 8 8 8 2 2 2 2 2\n4 7 7 7 4 7 7 7 8 7 7 7 8 7 7 7 8\n4 7 4 7 4 7 8 7 8 7 8 7 8 7 8 7 8\n4 7 7 7 4 7 7 7 8 7 7 7 8 7 7 7 8\n4 8 8 8 4 8 8 8 8 8 8 8 8 8 8 8 8\n4 7 7 7 4 7 7 7 8 7 7 7 8 7 7 7 8\n4 7 4 7 4 7 8 7 8 7 8 7 8 7 8 7 8\n4 7 7 7 4 7 7 7 8 7 7 7 8 7 7 7 8\n4 4 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8\n\nExample 3:\n\nInput:\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 7 7 7 8 7 7 7 0 7 7 7 8 7 7 7 8\n8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8\n8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8\n8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8\n8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8\n8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8\n8 7 7 7 8 7 7 7 8 7 7 7 0 7 7 7 8\n5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8\n8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8\n8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8\n8 8 8 5 8 8 8 8 8 8 8 8 8 8 8 8 8\nOutput:\n8 8 8 8 8 8 8 8 0 0 0 0 0 8 8 8 8\n8 7 7 7 8 7 7 7 0 7 7 7 0 7 7 7 8\n8 7 8 7 8 7 8 7 0 7 0 7 0 7 8 7 8\n8 7 7 7 8 7 7 7 0 7 7 7 0 7 7 7 8\n8 8 8 8 8 8 8 8 0 8 8 8 0 8 8 8 8\n8 7 7 7 8 7 7 7 0 7 7 7 0 7 7 7 8\n8 7 8 7 8 7 8 7 0 7 0 7 0 7 8 7 8\n8 7 7 7 8 7 7 7 0 7 7 7 0 7 7 7 8\n8 8 8 8 8 8 8 8 0 8 8 8 0 8 8 8 8\n8 7 7 7 8 7 7 7 0 7 7 7 0 7 7 7 8\n8 7 8 7 8 7 8 7 0 7 0 7 0 7 8 7 8\n8 7 7 7 8 7 7 7 0 7 7 7 0 7 7 7 8\n5 5 5 5 5 8 8 8 0 0 0 0 0 8 8 8 8\n5 7 7 7 5 7 7 7 8 7 7 7 8 7 7 7 8\n5 7 5 7 5 7 8 7 8 7 8 7 8 7 8 7 8\n5 7 7 7 5 7 7 7 8 7 7 7 8 7 7 7 8\n5 5 5 5 5 8 8 8 8 8 8 8 8 8 8 8 8\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8\n8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8\n8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8\n8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8\n8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8\n8 7 8 7 8 7 8 7 8 7 8 7 8 7 1 7 8\n8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8\n8 7 8 7 8 7 8 7 8 7 8 7 8 7 1 7 8\n8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8\n8 8 8 8 8 8 8 9 8 8 8 8 8 1 8 8 8\n8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8\n8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8\n8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n", "answer": "8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8\n8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8\n8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8\n9 9 9 9 9 9 9 9 9 8 8 8 1 1 1 1 1\n9 7 7 7 8 7 7 7 9 7 7 7 1 7 7 7 1\n9 7 9 7 8 7 9 7 9 7 8 7 1 7 1 7 1\n9 7 7 7 8 7 7 7 9 7 7 7 1 7 7 7 1\n9 8 8 8 8 8 8 8 9 8 8 8 1 8 8 8 1\n9 7 7 7 8 7 7 7 9 7 7 7 1 7 7 7 1\n9 7 9 7 8 7 9 7 9 7 8 7 1 7 1 7 1\n9 7 7 7 8 7 7 7 9 7 7 7 1 7 7 7 1\n9 9 9 9 9 9 9 9 9 8 8 8 1 1 1 1 1\n8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8\n8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8\n8 7 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8", "metadata": {"source_dataset": "arc_agi", "source_index": 277, "input": [[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 7, 7, 7, 8, 7, 7, 7, 8, 7, 7, 7, 8, 7, 7, 7, 8], [8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8], [8, 7, 7, 7, 8, 7, 7, 7, 8, 7, 7, 7, 8, 7, 7, 7, 8], [8, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 8], [8, 7, 7, 7, 8, 7, 7, 7, 8, 7, 7, 7, 8, 7, 7, 7, 8], [8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 1, 7, 8], [8, 7, 7, 7, 8, 7, 7, 7, 8, 7, 7, 7, 8, 7, 7, 7, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 7, 7, 7, 8, 7, 7, 7, 8, 7, 7, 7, 8, 7, 7, 7, 8], [8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 1, 7, 8], [8, 7, 7, 7, 8, 7, 7, 7, 8, 7, 7, 7, 8, 7, 7, 7, 8], [8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8, 8, 8, 1, 8, 8, 8], [8, 7, 7, 7, 8, 7, 7, 7, 8, 7, 7, 7, 8, 7, 7, 7, 8], [8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8], [8, 7, 7, 7, 8, 7, 7, 7, 8, 7, 7, 7, 8, 7, 7, 7, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]], "output": [[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 7, 7, 7, 8, 7, 7, 7, 8, 7, 7, 7, 8, 7, 7, 7, 8], [8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8], [8, 7, 7, 7, 8, 7, 7, 7, 8, 7, 7, 7, 8, 7, 7, 7, 8], [9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 8, 1, 1, 1, 1, 1], [9, 7, 7, 7, 8, 7, 7, 7, 9, 7, 7, 7, 1, 7, 7, 7, 1], [9, 7, 9, 7, 8, 7, 9, 7, 9, 7, 8, 7, 1, 7, 1, 7, 1], [9, 7, 7, 7, 8, 7, 7, 7, 9, 7, 7, 7, 1, 7, 7, 7, 1], [9, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8, 1, 8, 8, 8, 1], [9, 7, 7, 7, 8, 7, 7, 7, 9, 7, 7, 7, 1, 7, 7, 7, 1], [9, 7, 9, 7, 8, 7, 9, 7, 9, 7, 8, 7, 1, 7, 1, 7, 1], [9, 7, 7, 7, 8, 7, 7, 7, 9, 7, 7, 7, 1, 7, 7, 7, 1], [9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 8, 1, 1, 1, 1, 1], [8, 7, 7, 7, 8, 7, 7, 7, 8, 7, 7, 7, 8, 7, 7, 7, 8], [8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8], [8, 7, 7, 7, 8, 7, 7, 7, 8, 7, 7, 7, 8, 7, 7, 7, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]], "task_id": "97239e3d", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 277, "input": [[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 7, 7, 7, 8, 7, 7, 7, 8, 7, 7, 7, 8, 7, 7, 7, 8], [8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8], [8, 7, 7, 7, 8, 7, 7, 7, 8, 7, 7, 7, 8, 7, 7, 7, 8], [8, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 8], [8, 7, 7, 7, 8, 7, 7, 7, 8, 7, 7, 7, 8, 7, 7, 7, 8], [8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 1, 7, 8], [8, 7, 7, 7, 8, 7, 7, 7, 8, 7, 7, 7, 8, 7, 7, 7, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 7, 7, 7, 8, 7, 7, 7, 8, 7, 7, 7, 8, 7, 7, 7, 8], [8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 1, 7, 8], [8, 7, 7, 7, 8, 7, 7, 7, 8, 7, 7, 7, 8, 7, 7, 7, 8], [8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8, 8, 8, 1, 8, 8, 8], [8, 7, 7, 7, 8, 7, 7, 7, 8, 7, 7, 7, 8, 7, 7, 7, 8], [8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8], [8, 7, 7, 7, 8, 7, 7, 7, 8, 7, 7, 7, 8, 7, 7, 7, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]], "output": [[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 7, 7, 7, 8, 7, 7, 7, 8, 7, 7, 7, 8, 7, 7, 7, 8], [8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8], [8, 7, 7, 7, 8, 7, 7, 7, 8, 7, 7, 7, 8, 7, 7, 7, 8], [9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 8, 1, 1, 1, 1, 1], [9, 7, 7, 7, 8, 7, 7, 7, 9, 7, 7, 7, 1, 7, 7, 7, 1], [9, 7, 9, 7, 8, 7, 9, 7, 9, 7, 8, 7, 1, 7, 1, 7, 1], [9, 7, 7, 7, 8, 7, 7, 7, 9, 7, 7, 7, 1, 7, 7, 7, 1], [9, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8, 1, 8, 8, 8, 1], [9, 7, 7, 7, 8, 7, 7, 7, 9, 7, 7, 7, 1, 7, 7, 7, 1], [9, 7, 9, 7, 8, 7, 9, 7, 9, 7, 8, 7, 1, 7, 1, 7, 1], [9, 7, 7, 7, 8, 7, 7, 7, 9, 7, 7, 7, 1, 7, 7, 7, 1], [9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 8, 1, 1, 1, 1, 1], [8, 7, 7, 7, 8, 7, 7, 7, 8, 7, 7, 7, 8, 7, 7, 7, 8], [8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8], [8, 7, 7, 7, 8, 7, 7, 7, 8, 7, 7, 7, 8, 7, 7, 7, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]], "task_id": "97239e3d", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
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General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 2 2 2 2 2 3 3 2 2 3 3 2 2 2 2 2 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 2 2 2 2 2 2 3 3 2 2 3 3 2 2 2 2 Output: 0 8 7 0 8 7 0 8 7 Example 2: Input: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 2 2 2 2 2 3 3 2 2 3 3 2 2 2 2 2 3 3 3 3 2 3 3 2 2 2 2 2 2 2 2 2 2 3 3 2 Output: 8 0 6 8 0 6 8 0 6 Example 3: Input: 2 3 3 2 2 2 2 2 2 2 2 2 2 3 3 2 3 3 3 3 2 2 2 2 2 2 3 3 2 2 3 3 2 2 2 2 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 Output: 6 7 8 6 7 8 6 7 8 Example 4: Input: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 2 2 2 2 2 2 3 3 2 2 3 3 2 2 2 2 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 Output: 8 7 8 8 7 8 8 7 8 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 2 2 2 2 2 2 3 3 2 2 3 3 2 2 2 2 3 3 3 3 2 3 3 2 2 2 2 2 2 2 2 2 2 3 3 2 3 3 3 3 2 2 2 2 2 3 3 2 2 3 3 2 2 2 2 2
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "7 6 0\n7 6 0\n7 6 0", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n2 2 2 2\n2 3 3 2\n2 3 3 2\n2 2 2 2\n3 3 3 3\n2 2 2 2\n2 2 2 2\n2 2 2 2\n2 2 2 2\n3 3 3 3\n2 2 2 2\n2 2 3 3\n2 2 3 3\n2 2 2 2\nOutput:\n0 8 7\n0 8 7\n0 8 7\n\nExample 2:\n\nInput:\n2 2 2 2\n2 2 2 2\n2 2 2 2\n2 2 2 2\n3 3 3 3\n2 2 2 2\n2 3 3 2\n2 3 3 2\n2 2 2 2\n3 3 3 3\n2 3 3 2\n2 2 2 2\n2 2 2 2\n2 3 3 2\nOutput:\n8 0 6\n8 0 6\n8 0 6\n\nExample 3:\n\nInput:\n2 3 3 2\n2 2 2 2\n2 2 2 2\n2 3 3 2\n3 3 3 3\n2 2 2 2\n2 2 3 3\n2 2 3 3\n2 2 2 2\n3 3 3 3\n2 2 2 2\n2 2 2 2\n2 2 2 2\n2 2 2 2\nOutput:\n6 7 8\n6 7 8\n6 7 8\n\nExample 4:\n\nInput:\n2 2 2 2\n2 2 2 2\n2 2 2 2\n2 2 2 2\n3 3 3 3\n2 2 2 2\n2 2 3 3\n2 2 3 3\n2 2 2 2\n3 3 3 3\n2 2 2 2\n2 2 2 2\n2 2 2 2\n2 2 2 2\nOutput:\n8 7 8\n8 7 8\n8 7 8\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n2 2 2 2\n2 2 3 3\n2 2 3 3\n2 2 2 2\n3 3 3 3\n2 3 3 2\n2 2 2 2\n2 2 2 2\n2 3 3 2\n3 3 3 3\n2 2 2 2\n2 3 3 2\n2 3 3 2\n2 2 2 2\n", "answer": "7 6 0\n7 6 0\n7 6 0", "metadata": {"source_dataset": "arc_agi", "source_index": 278, "input": [[2, 2, 2, 2], [2, 2, 3, 3], [2, 2, 3, 3], [2, 2, 2, 2], [3, 3, 3, 3], [2, 3, 3, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 3, 3, 2], [3, 3, 3, 3], [2, 2, 2, 2], [2, 3, 3, 2], [2, 3, 3, 2], [2, 2, 2, 2]], "output": [[7, 6, 0], [7, 6, 0], [7, 6, 0]], "task_id": "995c5fa3", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 278, "input": [[2, 2, 2, 2], [2, 2, 3, 3], [2, 2, 3, 3], [2, 2, 2, 2], [3, 3, 3, 3], [2, 3, 3, 2], [2, 2, 2, 2], [2, 2, 2, 2], [2, 3, 3, 2], [3, 3, 3, 3], [2, 2, 2, 2], [2, 3, 3, 2], [2, 3, 3, 2], [2, 2, 2, 2]], "output": [[7, 6, 0], [7, 6, 0], [7, 6, 0]], "task_id": "995c5fa3", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null
General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 1 1 1 1 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 1 1 1 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 1 1 1 1 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 1 1 1 1 1 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 1 1 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 1 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 8 8 8 5 8 8 8 8 8 8 8 8 8 8 8 Output: 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 8 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 9 8 8 8 8 8 8 8 8 8 8 8 1 1 2 1 1 1 9 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 4 9 9 9 6 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 9 8 8 8 8 8 8 8 8 1 2 1 1 1 9 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 4 9 9 9 6 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 9 8 8 8 1 1 2 1 1 1 9 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 4 9 9 9 6 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 9 8 8 8 8 8 8 1 1 1 2 1 1 1 9 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 4 9 9 9 6 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 2 1 1 1 9 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 4 9 9 9 6 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 1 2 1 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 4 9 6 8 8 8 8 8 8 8 8 8 8 8 8 8 5 8 8 8 5 8 8 8 8 8 8 8 8 8 8 8 Example 2: Input: 8 8 8 1 8 8 8 8 1 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 1 1 8 8 8 8 8 8 8 8 8 8 8 8 1 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 1 1 1 1 1 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 1 1 1 1 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 1 8 1 8 8 8 8 1 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 1 8 8 8 8 8 1 1 1 1 1 1 1 8 8 8 8 8 8 1 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 1 8 8 8 1 8 8 8 8 8 1 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 1 1 1 1 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 1 1 1 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 1 1 1 1 1 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 1 8 8 1 1 1 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 Output: 8 8 8 1 8 8 8 8 1 8 1 8 8 8 8 8 5 8 8 8 8 8 8 8 8 1 1 1 8 8 8 8 8 8 8 9 8 8 8 8 1 8 1 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 1 8 8 8 8 8 8 1 1 1 1 1 1 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 1 8 8 8 8 8 1 1 1 1 2 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 6 8 8 8 8 8 8 8 8 8 1 8 8 8 8 1 8 2 9 8 8 8 1 8 8 1 8 8 8 8 8 8 8 8 8 8 4 6 8 1 8 8 1 8 8 8 8 8 1 1 2 1 1 1 1 9 8 8 8 8 8 1 8 8 1 8 8 8 8 4 9 9 9 9 6 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 1 1 8 8 8 2 9 8 8 8 8 1 1 8 8 8 8 8 8 8 8 8 8 8 4 6 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 9 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 1 8 8 8 8 8 8 8 1 1 1 1 1 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 2 9 8 8 1 1 1 1 8 8 8 8 8 8 8 8 8 8 8 4 6 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 2 1 1 1 1 1 9 8 8 8 8 8 8 8 8 8 1 8 8 4 9 9 9 9 9 6 8 1 8 8 8 8 8 8 8 8 8 8 9 8 1 8 8 8 8 8 8 8 1 8 8 1 1 1 1 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 Example 3: Input: 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 1 1 8 8 8 8 8 8 1 1 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 1 1 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 8 8 8 8 8 8 8 Output: 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 1 1 8 8 8 8 8 8 1 1 5 1 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 1 2 1 1 9 8 8 8 8 8 8 4 9 9 6 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 5 8 8 8 8 8 8 8 Example 4: Input: 8 8 1 8 8 8 8 8 1 8 8 8 8 8 8 8 8 1 1 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 1 1 1 1 8 8 8 8 1 1 8 8 8 8 1 8 8 8 8 8 8 1 8 8 8 8 8 8 8 1 8 8 8 8 8 1 8 8 8 8 1 8 8 1 1 1 1 1 8 1 1 1 8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 1 8 8 8 8 1 1 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 1 8 8 8 8 8 8 8 1 8 8 8 8 8 8 1 1 8 8 8 8 8 8 8 8 8 8 1 1 1 8 8 1 8 8 8 8 8 1 1 1 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 1 8 8 8 8 8 8 8 8 8 8 8 8 8 1 1 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 1 1 1 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 1 1 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 1 1 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 1 1 1 8 8 1 8 8 8 8 8 1 8 1 8 8 1 8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 1 1 1 1 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 1 8 8 1 8 8 8 1 1 1 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 1 1 1 8 1 8 8 8 8 1 8 8 8 8 8 8 8 8 1 1 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 1 8 8 8 8 8 1 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 1 8 8 8 1 1 1 8 8 8 8 8 8 5 8 8 8 1 8 8 8 8 5 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 1 8 Output: 8 8 1 8 8 8 8 8 1 8 8 8 8 8 8 8 5 1 1 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 1 1 1 1 1 8 8 8 8 1 1 8 8 8 8 1 8 8 8 8 8 8 1 8 9 8 8 8 8 8 1 8 8 8 8 8 1 8 8 8 8 1 8 8 1 1 1 1 1 8 1 1 1 9 8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 1 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 9 8 1 8 8 8 8 1 1 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 1 8 8 9 8 8 8 8 8 8 8 8 8 8 8 1 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 1 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 1 8 8 8 8 8 8 1 8 8 8 8 8 8 8 1 8 8 8 8 8 8 1 1 8 8 9 8 8 8 8 8 8 8 1 1 1 8 8 1 8 8 8 8 8 1 1 1 8 8 8 8 8 8 8 9 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 2 9 8 8 8 8 8 8 8 8 8 8 8 8 1 1 8 8 8 8 8 8 8 1 8 8 8 8 8 4 6 8 8 8 8 8 8 8 1 1 1 1 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 1 1 8 8 8 8 8 8 8 1 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 1 1 2 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 4 6 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 2 1 1 9 8 1 8 8 8 8 8 1 8 1 8 8 1 8 8 8 8 1 8 8 8 8 8 8 8 4 9 9 6 8 1 1 1 1 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 1 8 8 1 8 9 8 1 1 1 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 2 1 1 5 1 8 8 8 9 1 8 8 8 8 8 8 8 8 1 1 8 8 8 8 8 8 8 8 1 4 9 9 6 8 8 1 8 9 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 2 9 8 8 8 8 8 8 8 9 8 8 8 8 8 1 8 8 8 8 8 1 8 8 8 8 8 1 8 4 6 8 8 8 1 8 8 8 9 8 8 8 8 8 8 1 8 8 8 1 1 1 8 8 8 8 8 8 5 8 8 8 1 8 8 8 8 5 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 1 8 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 8 8 1 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 1 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 1 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 1 8 1 8 8 8 1 8 8 1 1 1 1 1 8 8 8 8 1 8 8 8 8 8 8 1 8 1 8 8 1 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 1 1 1 8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 1 1 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 1 1 1 1 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 1 1 1 1 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 1 1 1 8 8 8 8 1 8 8 8 8 8 8 1 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 1 8 1 1 1 1 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 5 8 8 8 8 5 8 1 8 8 8 8 1 8 8 8 5 8 8 1 8 8 8
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "8 8 1 8 8 1 5 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 5 8\n8 8 8 8 8 8 9 8 8 8 8 8 8 1 8 8 8 8 8 8 1 8 8 9 8\n8 8 1 8 8 8 9 8 8 8 8 8 2 5 1 8 8 8 8 8 8 8 8 9 8\n8 8 8 8 8 8 9 1 8 1 8 1 4 6 8 1 8 8 1 1 1 2 1 9 8\n8 8 1 8 8 8 9 8 8 1 8 2 9 8 1 1 8 8 8 8 8 4 9 6 8\n8 8 8 8 8 8 9 8 8 8 8 4 6 8 8 8 8 8 8 8 8 9 8 8 8\n8 8 1 2 1 1 9 8 8 1 8 9 8 8 8 8 8 8 8 8 8 9 8 8 8\n8 8 8 4 9 9 6 8 1 8 8 9 1 1 1 8 8 8 8 8 8 9 8 8 8\n8 8 8 9 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 9 8 8 8\n8 8 8 9 8 8 8 8 8 8 8 9 8 8 8 1 1 1 1 2 1 9 8 8 8\n8 8 8 9 8 8 8 8 8 8 8 9 8 8 1 8 8 8 8 4 9 6 8 8 8\n1 8 8 9 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 9 8 8 8 8 8\n8 8 2 9 8 8 8 2 1 1 1 9 8 8 8 8 8 8 8 9 1 8 8 8 8\n8 8 4 6 8 1 8 4 9 9 9 6 8 8 8 8 8 8 8 9 8 8 8 8 8\n1 8 9 8 8 8 8 9 8 8 8 8 8 8 8 1 8 8 8 9 8 8 8 8 8\n8 8 9 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8\n8 8 9 1 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8\n8 8 9 8 8 8 8 9 1 1 1 1 8 8 8 8 1 8 8 9 8 8 8 1 8\n8 8 9 8 8 1 8 9 8 8 8 8 8 8 8 8 8 8 8 9 8 8 1 8 8\n8 8 9 8 8 8 8 9 8 8 1 8 8 8 8 8 8 8 8 9 8 8 8 8 8\n8 8 9 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8\n8 1 9 8 8 8 8 9 8 8 8 8 8 8 8 8 1 8 1 9 1 1 1 1 8\n8 8 9 8 8 8 1 9 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8\n8 8 9 8 8 8 8 9 8 8 8 1 8 8 8 8 8 8 2 9 8 8 8 8 8\n8 8 9 8 8 8 8 9 8 8 8 8 8 8 8 8 1 8 4 6 8 8 8 8 8\n8 8 9 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 9 8 1 8 8 8 8\n8 8 5 8 8 8 8 5 8 1 8 8 8 8 1 8 8 8 5 8 8 1 8 8 8", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 1 1 1 1 1 1 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 1 1 1 1 1 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 1 1 1 1 1 1 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 1 1 1 1 1 1 1 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 1 1 1 1 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 1 1 1 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 5 8 8 8 5 8 8 8 8 8 8 8 8 8 8 8\nOutput:\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 8 5 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 9 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 9 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 9 8\n8 8 8 8 8 8 8 8 8 8 1 1 2 1 1 1 9 8 9 8\n8 8 8 8 8 8 8 8 8 8 8 8 4 9 9 9 6 8 9 8\n8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 9 8\n8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 9 8\n8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 9 8\n8 8 8 8 8 8 8 1 2 1 1 1 9 8 8 8 8 8 9 8\n8 8 8 8 8 8 8 8 4 9 9 9 6 8 8 8 8 8 9 8\n8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 9 8\n8 8 8 8 8 8 8 8 9 8 8 8 1 1 2 1 1 1 9 8\n8 8 8 8 8 8 8 8 9 8 8 8 8 8 4 9 9 9 6 8\n8 8 8 8 8 8 8 8 9 8 8 8 8 8 9 8 8 8 8 8\n8 1 1 1 2 1 1 1 9 8 8 8 8 8 9 8 8 8 8 8\n8 8 8 8 4 9 9 9 6 8 8 8 8 8 9 8 8 8 8 8\n8 8 8 8 9 8 8 8 8 8 2 1 1 1 9 8 8 8 8 8\n8 8 8 8 9 8 8 8 8 8 4 9 9 9 6 8 8 8 8 8\n8 8 8 8 9 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8\n8 8 8 8 9 8 8 1 2 1 9 8 8 8 8 8 8 8 8 8\n8 8 8 8 9 8 8 8 4 9 6 8 8 8 8 8 8 8 8 8\n8 8 8 8 5 8 8 8 5 8 8 8 8 8 8 8 8 8 8 8\n\nExample 2:\n\nInput:\n8 8 8 1 8 8 8 8 1 8 1 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 1 1 1 8 8 8 8 8 8 8 8 8 8\n8 8 1 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n1 8 8 8 8 8 8 1 1 1 1 1 1 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 1 8 8 8 8 8 1 1 1 1 1 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 1 8 8 8 8 1 8 1 8 8 8 8\n1 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8\n8 1 8 8 8 8 8 1 1 1 1 1 1 1 8 8 8 8 8\n8 1 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 1 1 8 8 8 1 8 8 8 8 8 1 1 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 1 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8\n8 8 8 1 1 1 1 1 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 1 8 8 8 1 1 1 1 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 1 1 1 1 1 1 8 8 8 8 8 8 8 8 8 8 1 8\n8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8\n8 8 8 1 8 8 8 8 8 8 8 1 8 8 1 1 1 1 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\nOutput:\n8 8 8 1 8 8 8 8 1 8 1 8 8 8 8 8 5 8 8\n8 8 8 8 8 8 1 1 1 8 8 8 8 8 8 8 9 8 8\n8 8 1 8 1 8 8 8 8 8 8 8 8 8 8 8 9 8 8\n8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8\n1 8 8 8 8 8 8 1 1 1 1 1 1 8 8 8 9 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8\n8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 9 8 8\n8 8 8 8 8 1 8 8 8 8 8 1 1 1 1 2 9 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 6 8 8\n8 8 8 8 8 8 8 1 8 8 8 8 1 8 2 9 8 8 8\n1 8 8 1 8 8 8 8 8 8 8 8 8 8 4 6 8 1 8\n8 1 8 8 8 8 8 1 1 2 1 1 1 1 9 8 8 8 8\n8 1 8 8 1 8 8 8 8 4 9 9 9 9 6 8 8 8 8\n8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8\n8 8 8 1 1 8 8 8 2 9 8 8 8 8 1 1 8 8 8\n8 8 8 8 8 8 8 8 4 6 8 8 8 8 8 8 8 8 8\n8 8 1 8 8 8 8 8 9 8 1 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 9 8 8 8 8 8 1 8 8 8 8\n8 8 8 1 1 1 1 1 9 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 2 9 8 8 1 1 1 1 8 8 8 8\n8 8 8 8 8 8 8 4 6 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8\n8 2 1 1 1 1 1 9 8 8 8 8 8 8 8 8 8 1 8\n8 4 9 9 9 9 9 6 8 1 8 8 8 8 8 8 8 8 8\n8 9 8 1 8 8 8 8 8 8 8 1 8 8 1 1 1 1 8\n8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n\nExample 3:\n\nInput:\n8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n8 8 8 8 1 1 1 8 8 8\n8 8 8 1 1 8 1 8 8 8\n8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n8 1 1 1 1 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n8 8 5 8 8 8 8 8 8 8\nOutput:\n8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n8 8 8 8 1 1 1 8 8 8\n8 8 8 1 1 5 1 8 8 8\n8 8 8 8 8 9 8 8 8 8\n8 8 8 8 8 9 8 8 8 8\n8 8 8 8 8 9 8 8 8 8\n8 8 8 8 8 9 8 8 8 8\n8 1 2 1 1 9 8 8 8 8\n8 8 4 9 9 6 8 8 8 8\n8 8 9 8 8 8 8 8 8 8\n8 8 9 8 8 8 8 8 8 8\n8 8 9 8 8 8 8 8 8 8\n8 8 5 8 8 8 8 8 8 8\n\nExample 4:\n\nInput:\n8 8 1 8 8 8 8 8 1 8 8 8 8 8 8 8 8 1 1 8 1 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n1 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 1 1 1 1 8 8 8\n8 1 1 8 8 8 8 1 8 8 8 8 8 8 1 8 8 8 8 8 8 8 1 8 8 8 8 8 1\n8 8 8 8 1 8 8 1 1 1 1 1 8 1 1 1 8 8 8 8 1 8 8 8 8 8 8 8 8\n8 8 8 1 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 1 8 8 8 8 1 1 8 8 8 8\n8 8 8 8 8 8 8 1 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1\n1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 1 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 1 8 8\n8 8 8 8 8 1 8 8 8 8 8 8 1 1 8 8 8 8 8 8 8 8 8 8 1 1 1 8 8\n1 8 8 8 8 8 1 1 1 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 1 8 8 8 8 8 8 8 8 8 8 8 8 8\n1 1 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 1 1 1 1\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 1 1 1 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 1 1 1 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 1 8 8 8 8 8 8 8 8 1 1 1 8 8 1 8 8 8 8 8 1 8 1 8 8 1 8\n8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 1 1 1 1 1 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8\n8 8 8 8 8 8 1 8 8 1 8 8 8 1 1 1 8 8 8 8 8 8 8 8 8 8 8 8 8\n1 8 8 1 1 1 8 1 8 8 8 8 1 8 8 8 8 8 8 8 8 1 1 8 8 8 8 8 8\n8 8 1 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8\n8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 1 8 8 8 8 8\n1 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 1 8 8 8 1 1 1 8 8 8 8\n8 8 5 8 8 8 1 8 8 8 8 5 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 1 8\nOutput:\n8 8 1 8 8 8 8 8 1 8 8 8 8 8 8 8 5 1 1 8 1 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8\n1 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 1 1 1 1 1 8 8 8\n8 1 1 8 8 8 8 1 8 8 8 8 8 8 1 8 9 8 8 8 8 8 1 8 8 8 8 8 1\n8 8 8 8 1 8 8 1 1 1 1 1 8 1 1 1 9 8 8 8 1 8 8 8 8 8 8 8 8\n8 8 8 1 8 8 8 8 8 8 8 8 8 1 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 9 8 1 8 8 8 8 1 1 8 8 8 8\n8 8 8 8 8 8 8 1 8 8 8 8 8 1 8 8 9 8 8 8 8 8 8 8 8 8 8 8 1\n1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 1 8 1 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 1 8 8 8 8 8 8 1 8 8\n8 8 8 8 8 1 8 8 8 8 8 8 1 1 8 8 9 8 8 8 8 8 8 8 1 1 1 8 8\n1 8 8 8 8 8 1 1 1 8 8 8 8 8 8 8 9 8 1 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 2 9 8 8 8 8 8 8 8 8 8 8 8 8\n1 1 8 8 8 8 8 8 8 1 8 8 8 8 8 4 6 8 8 8 8 8 8 8 1 1 1 1 1\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 1 1 1 8 8 8 8 8 8 8 1 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 1 1 1 2 9 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 1 8 8 8 8 8 8 4 6 8 8 8 8 8 8 8 8 8 1 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 1 8 8 8 8 8 8 8 8 2 1 1 9 8 1 8 8 8 8 8 1 8 1 8 8 1 8\n8 8 8 1 8 8 8 8 8 8 8 4 9 9 6 8 1 1 1 1 1 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 1 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8\n8 8 8 8 8 8 1 8 8 1 8 9 8 1 1 1 8 8 8 8 8 8 8 8 8 8 8 8 8\n1 8 8 2 1 1 5 1 8 8 8 9 1 8 8 8 8 8 8 8 8 1 1 8 8 8 8 8 8\n8 8 1 4 9 9 6 8 8 1 8 9 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8\n8 8 2 9 8 8 8 8 8 8 8 9 8 8 8 8 8 1 8 8 8 8 8 1 8 8 8 8 8\n1 8 4 6 8 8 8 1 8 8 8 9 8 8 8 8 8 8 1 8 8 8 1 1 1 8 8 8 8\n8 8 5 8 8 8 1 8 8 8 8 5 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 1 8\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n8 8 1 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 1 8 8 8 8\n8 8 1 8 8 8 8 8 8 8 8 8 1 8 1 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 1 8 1 8 1 8 8 8 1 8 8 1 1 1 1 1 8 8\n8 8 1 8 8 8 8 8 8 1 8 1 8 8 1 1 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 1 1 1 1 8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 1 8 8 8 1 1 1 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 1 1 1 1 1 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 8\n1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 1 8 8 8 8 1 1 1 1 8 8 8 8 8 8 8 8 8 1 8 8 8 8\n8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 1 1 1 1 8 8 8 8 1 8 8 8 8 8 8 1 8\n8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8\n8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 1 8 1 1 1 1 8\n8 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 1 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8\n8 8 5 8 8 8 8 5 8 1 8 8 8 8 1 8 8 8 5 8 8 1 8 8 8\n", "answer": "8 8 1 8 8 1 5 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 5 8\n8 8 8 8 8 8 9 8 8 8 8 8 8 1 8 8 8 8 8 8 1 8 8 9 8\n8 8 1 8 8 8 9 8 8 8 8 8 2 5 1 8 8 8 8 8 8 8 8 9 8\n8 8 8 8 8 8 9 1 8 1 8 1 4 6 8 1 8 8 1 1 1 2 1 9 8\n8 8 1 8 8 8 9 8 8 1 8 2 9 8 1 1 8 8 8 8 8 4 9 6 8\n8 8 8 8 8 8 9 8 8 8 8 4 6 8 8 8 8 8 8 8 8 9 8 8 8\n8 8 1 2 1 1 9 8 8 1 8 9 8 8 8 8 8 8 8 8 8 9 8 8 8\n8 8 8 4 9 9 6 8 1 8 8 9 1 1 1 8 8 8 8 8 8 9 8 8 8\n8 8 8 9 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 9 8 8 8\n8 8 8 9 8 8 8 8 8 8 8 9 8 8 8 1 1 1 1 2 1 9 8 8 8\n8 8 8 9 8 8 8 8 8 8 8 9 8 8 1 8 8 8 8 4 9 6 8 8 8\n1 8 8 9 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 9 8 8 8 8 8\n8 8 2 9 8 8 8 2 1 1 1 9 8 8 8 8 8 8 8 9 1 8 8 8 8\n8 8 4 6 8 1 8 4 9 9 9 6 8 8 8 8 8 8 8 9 8 8 8 8 8\n1 8 9 8 8 8 8 9 8 8 8 8 8 8 8 1 8 8 8 9 8 8 8 8 8\n8 8 9 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8\n8 8 9 1 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8\n8 8 9 8 8 8 8 9 1 1 1 1 8 8 8 8 1 8 8 9 8 8 8 1 8\n8 8 9 8 8 1 8 9 8 8 8 8 8 8 8 8 8 8 8 9 8 8 1 8 8\n8 8 9 8 8 8 8 9 8 8 1 8 8 8 8 8 8 8 8 9 8 8 8 8 8\n8 8 9 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8\n8 1 9 8 8 8 8 9 8 8 8 8 8 8 8 8 1 8 1 9 1 1 1 1 8\n8 8 9 8 8 8 1 9 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8\n8 8 9 8 8 8 8 9 8 8 8 1 8 8 8 8 8 8 2 9 8 8 8 8 8\n8 8 9 8 8 8 8 9 8 8 8 8 8 8 8 8 1 8 4 6 8 8 8 8 8\n8 8 9 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 9 8 1 8 8 8 8\n8 8 5 8 8 8 8 5 8 1 8 8 8 8 1 8 8 8 5 8 8 1 8 8 8", "metadata": {"source_dataset": "arc_agi", "source_index": 279, "input": [[8, 8, 1, 8, 8, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 8, 8, 8, 8, 8, 8, 1, 8, 8, 8, 8], [8, 8, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 8, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 1, 8, 1, 8, 1, 8, 8, 8, 1, 8, 8, 1, 1, 1, 1, 1, 8, 8], [8, 8, 1, 8, 8, 8, 8, 8, 8, 1, 8, 1, 8, 8, 1, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 1, 1, 1, 1, 8, 8, 8, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 1, 8, 8, 8, 1, 1, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 1, 8, 8, 8, 8, 1, 1, 1, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 8, 8, 8, 8], [8, 8, 8, 8, 8, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 8, 8, 8, 8, 1, 8, 8, 8, 8, 8, 8, 1, 8], [8, 8, 8, 8, 8, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 8, 1, 8, 1, 1, 1, 1, 8], [8, 8, 8, 8, 8, 8, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 8, 8, 8, 8, 8, 8, 1, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 8, 8, 8, 8], [8, 8, 5, 8, 8, 8, 8, 5, 8, 1, 8, 8, 8, 8, 1, 8, 8, 8, 5, 8, 8, 1, 8, 8, 8]], "output": [[8, 8, 1, 8, 8, 1, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 8, 8, 5, 8], [8, 8, 8, 8, 8, 8, 9, 8, 8, 8, 8, 8, 8, 1, 8, 8, 8, 8, 8, 8, 1, 8, 8, 9, 8], [8, 8, 1, 8, 8, 8, 9, 8, 8, 8, 8, 8, 2, 5, 1, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8], [8, 8, 8, 8, 8, 8, 9, 1, 8, 1, 8, 1, 4, 6, 8, 1, 8, 8, 1, 1, 1, 2, 1, 9, 8], [8, 8, 1, 8, 8, 8, 9, 8, 8, 1, 8, 2, 9, 8, 1, 1, 8, 8, 8, 8, 8, 4, 9, 6, 8], [8, 8, 8, 8, 8, 8, 9, 8, 8, 8, 8, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8], [8, 8, 1, 2, 1, 1, 9, 8, 8, 1, 8, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8], [8, 8, 8, 4, 9, 9, 6, 8, 1, 8, 8, 9, 1, 1, 1, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8], [8, 8, 8, 9, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8], [8, 8, 8, 9, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8, 1, 1, 1, 1, 2, 1, 9, 8, 8, 8], [8, 8, 8, 9, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 1, 8, 8, 8, 8, 4, 9, 6, 8, 8, 8], [1, 8, 8, 9, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8, 8, 8], [8, 8, 2, 9, 8, 8, 8, 2, 1, 1, 1, 9, 8, 8, 8, 8, 8, 8, 8, 9, 1, 8, 8, 8, 8], [8, 8, 4, 6, 8, 1, 8, 4, 9, 9, 9, 6, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8, 8, 8], [1, 8, 9, 8, 8, 8, 8, 9, 8, 8, 8, 8, 8, 8, 8, 1, 8, 8, 8, 9, 8, 8, 8, 8, 8], [8, 8, 9, 8, 8, 8, 8, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8, 8, 8], [8, 8, 9, 1, 8, 8, 8, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8, 8, 8], [8, 8, 9, 8, 8, 8, 8, 9, 1, 1, 1, 1, 8, 8, 8, 8, 1, 8, 8, 9, 8, 8, 8, 1, 8], [8, 8, 9, 8, 8, 1, 8, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 1, 8, 8], [8, 8, 9, 8, 8, 8, 8, 9, 8, 8, 1, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8, 8, 8], [8, 8, 9, 8, 8, 8, 8, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8, 8, 8], [8, 1, 9, 8, 8, 8, 8, 9, 8, 8, 8, 8, 8, 8, 8, 8, 1, 8, 1, 9, 1, 1, 1, 1, 8], [8, 8, 9, 8, 8, 8, 1, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8, 8, 8], [8, 8, 9, 8, 8, 8, 8, 9, 8, 8, 8, 1, 8, 8, 8, 8, 8, 8, 2, 9, 8, 8, 8, 8, 8], [8, 8, 9, 8, 8, 8, 8, 9, 8, 8, 8, 8, 8, 8, 8, 8, 1, 8, 4, 6, 8, 8, 8, 8, 8], [8, 8, 9, 8, 8, 8, 8, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 1, 8, 8, 8, 8], [8, 8, 5, 8, 8, 8, 8, 5, 8, 1, 8, 8, 8, 8, 1, 8, 8, 8, 5, 8, 8, 1, 8, 8, 8]], "task_id": "891232d6", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 279, "input": [[8, 8, 1, 8, 8, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 8, 8, 8, 8, 8, 8, 1, 8, 8, 8, 8], [8, 8, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 8, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 1, 8, 1, 8, 1, 8, 8, 8, 1, 8, 8, 1, 1, 1, 1, 1, 8, 8], [8, 8, 1, 8, 8, 8, 8, 8, 8, 1, 8, 1, 8, 8, 1, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 1, 1, 1, 1, 8, 8, 8, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 1, 8, 8, 8, 1, 1, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 1, 8, 8, 8, 8, 1, 1, 1, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 8, 8, 8, 8], [8, 8, 8, 8, 8, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 8, 8, 8, 8, 1, 8, 8, 8, 8, 8, 8, 1, 8], [8, 8, 8, 8, 8, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 8, 1, 8, 1, 1, 1, 1, 8], [8, 8, 8, 8, 8, 8, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 8, 8, 8, 8, 8, 8, 1, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 8, 8, 8, 8], [8, 8, 5, 8, 8, 8, 8, 5, 8, 1, 8, 8, 8, 8, 1, 8, 8, 8, 5, 8, 8, 1, 8, 8, 8]], "output": [[8, 8, 1, 8, 8, 1, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 8, 8, 5, 8], [8, 8, 8, 8, 8, 8, 9, 8, 8, 8, 8, 8, 8, 1, 8, 8, 8, 8, 8, 8, 1, 8, 8, 9, 8], [8, 8, 1, 8, 8, 8, 9, 8, 8, 8, 8, 8, 2, 5, 1, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8], [8, 8, 8, 8, 8, 8, 9, 1, 8, 1, 8, 1, 4, 6, 8, 1, 8, 8, 1, 1, 1, 2, 1, 9, 8], [8, 8, 1, 8, 8, 8, 9, 8, 8, 1, 8, 2, 9, 8, 1, 1, 8, 8, 8, 8, 8, 4, 9, 6, 8], [8, 8, 8, 8, 8, 8, 9, 8, 8, 8, 8, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8], [8, 8, 1, 2, 1, 1, 9, 8, 8, 1, 8, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8], [8, 8, 8, 4, 9, 9, 6, 8, 1, 8, 8, 9, 1, 1, 1, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8], [8, 8, 8, 9, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8], [8, 8, 8, 9, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8, 1, 1, 1, 1, 2, 1, 9, 8, 8, 8], [8, 8, 8, 9, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 1, 8, 8, 8, 8, 4, 9, 6, 8, 8, 8], [1, 8, 8, 9, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8, 8, 8], [8, 8, 2, 9, 8, 8, 8, 2, 1, 1, 1, 9, 8, 8, 8, 8, 8, 8, 8, 9, 1, 8, 8, 8, 8], [8, 8, 4, 6, 8, 1, 8, 4, 9, 9, 9, 6, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8, 8, 8], [1, 8, 9, 8, 8, 8, 8, 9, 8, 8, 8, 8, 8, 8, 8, 1, 8, 8, 8, 9, 8, 8, 8, 8, 8], [8, 8, 9, 8, 8, 8, 8, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8, 8, 8], [8, 8, 9, 1, 8, 8, 8, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8, 8, 8], [8, 8, 9, 8, 8, 8, 8, 9, 1, 1, 1, 1, 8, 8, 8, 8, 1, 8, 8, 9, 8, 8, 8, 1, 8], [8, 8, 9, 8, 8, 1, 8, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 1, 8, 8], [8, 8, 9, 8, 8, 8, 8, 9, 8, 8, 1, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8, 8, 8], [8, 8, 9, 8, 8, 8, 8, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8, 8, 8], [8, 1, 9, 8, 8, 8, 8, 9, 8, 8, 8, 8, 8, 8, 8, 8, 1, 8, 1, 9, 1, 1, 1, 1, 8], [8, 8, 9, 8, 8, 8, 1, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8, 8, 8], [8, 8, 9, 8, 8, 8, 8, 9, 8, 8, 8, 1, 8, 8, 8, 8, 8, 8, 2, 9, 8, 8, 8, 8, 8], [8, 8, 9, 8, 8, 8, 8, 9, 8, 8, 8, 8, 8, 8, 8, 8, 1, 8, 4, 6, 8, 8, 8, 8, 8], [8, 8, 9, 8, 8, 8, 8, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 1, 8, 8, 8, 8], [8, 8, 5, 8, 8, 8, 8, 5, 8, 1, 8, 8, 8, 8, 1, 8, 8, 8, 5, 8, 8, 1, 8, 8, 8]], "task_id": "891232d6", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null
General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 5 5 5 5 5 5 5 5 9 5 9 9 9 5 5 9 9 9 5 5 5 5 5 9 5 5 5 5 5 9 9 9 5 5 5 5 9 5 9 9 9 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 Output: 5 5 5 5 5 9 5 5 5 9 5 5 5 5 5 5 5 5 5 5 9 5 5 5 9 5 5 5 5 5 5 5 5 5 5 9 9 5 9 9 5 5 5 5 5 5 5 5 5 5 5 9 9 9 5 5 5 5 5 5 5 5 5 5 5 9 9 5 9 9 5 5 5 5 5 9 9 9 5 9 5 5 5 5 5 9 5 9 9 9 5 5 9 9 9 5 5 5 5 5 9 9 9 5 5 5 5 5 9 5 5 5 5 5 5 5 9 5 5 5 5 5 9 9 9 5 5 5 5 5 9 9 9 5 5 9 9 9 5 9 5 5 5 5 5 9 5 9 9 9 5 5 5 5 5 9 9 5 9 9 5 5 5 5 5 5 5 5 5 5 5 9 9 9 5 5 5 5 5 5 5 5 5 5 5 9 9 5 9 9 5 5 5 5 5 5 5 5 5 5 9 5 5 5 9 5 5 5 5 5 5 5 5 5 5 9 5 5 5 9 5 5 5 5 5 Example 2: Input: 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 9 9 5 5 5 5 9 9 5 9 5 5 5 5 9 9 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 Output: 5 5 5 5 5 9 5 5 5 5 5 5 5 5 5 9 5 9 5 5 5 5 5 5 5 5 9 9 9 5 5 5 5 5 5 5 5 5 9 5 5 5 5 5 5 9 9 5 5 5 5 5 9 9 5 9 5 9 9 5 5 5 9 9 5 9 5 9 9 5 5 5 5 5 9 9 5 5 5 5 5 5 9 5 5 5 5 5 5 5 5 5 9 9 9 5 5 5 5 5 5 5 5 9 5 9 5 5 5 5 5 5 5 5 5 9 5 5 5 5 5 Example 3: Input: 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 9 5 9 5 5 5 5 5 9 9 9 9 5 5 5 5 9 5 9 5 5 5 5 5 5 5 5 5 5 5 Output: 5 5 5 5 5 9 5 5 5 5 5 5 5 5 5 9 9 9 5 5 5 5 5 5 5 5 5 9 5 5 5 5 5 5 5 5 5 9 9 9 5 5 5 5 5 9 5 9 5 5 5 9 5 9 5 9 9 9 9 5 5 5 9 9 9 9 5 9 5 9 5 5 5 9 5 9 5 5 5 5 5 9 9 9 5 5 5 5 5 5 5 5 5 9 5 5 5 5 5 5 5 5 5 9 9 9 5 5 5 5 5 5 5 5 5 9 5 5 5 5 5 Example 4: Input: 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 9 5 5 5 9 5 5 5 9 9 9 5 9 5 5 5 5 5 9 9 5 5 5 5 9 9 9 5 9 5 5 5 9 5 5 5 9 Output: 5 5 5 5 5 9 9 5 9 9 5 5 5 5 5 5 5 5 5 5 5 5 9 5 5 5 5 5 5 5 5 5 5 5 5 5 9 9 9 5 5 5 5 5 5 5 5 5 5 5 5 9 5 9 5 5 5 5 5 5 5 5 5 5 5 9 9 5 9 9 5 5 5 5 5 9 5 5 5 9 5 5 5 5 5 9 5 5 5 9 9 5 9 9 9 5 5 5 5 5 9 9 9 5 9 5 9 9 5 5 5 5 5 5 5 5 5 9 9 5 9 5 9 9 9 5 5 5 5 5 9 9 9 5 9 9 5 5 5 9 5 5 5 5 5 9 5 5 5 9 5 5 5 5 5 9 9 5 9 9 5 5 5 5 5 5 5 5 5 5 5 9 5 9 5 5 5 5 5 5 5 5 5 5 5 5 9 9 9 5 5 5 5 5 5 5 5 5 5 5 5 5 9 5 5 5 5 5 5 5 5 5 5 5 5 9 9 5 9 9 5 5 5 5 5 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 5 5 5 5 5 5 5 5 5 5 5 5 5 9 9 9 5 9 5 5 5 5 5 9 5 5 9 9 5 5 5 5 5 5 9 5 5 5 9 5 5 5 5 9 5 5 9 9 5 5 5 5 5 9 9 9 5 9 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "5 5 5 5 5 5 5 5 9 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 9 9 5 9 9 5 5 5 5 5 5\n5 5 5 5 5 5 5 9 5 9 5 5 5 5 5 5 5\n5 5 5 5 5 5 9 5 5 5 9 5 5 5 5 5 5\n5 5 5 5 5 5 9 5 9 5 9 5 5 5 5 5 5\n5 5 5 5 5 5 9 9 5 9 9 5 5 5 5 5 5\n5 9 5 9 9 9 5 5 5 5 5 9 9 9 5 9 5\n5 9 9 5 5 9 5 5 5 5 5 9 5 5 9 9 5\n9 5 5 5 9 5 5 5 5 5 5 5 9 5 5 5 9\n5 9 9 5 5 9 5 5 5 5 5 9 5 5 9 9 5\n5 9 5 9 9 9 5 5 5 5 5 9 9 9 5 9 5\n5 5 5 5 5 5 9 9 5 9 9 5 5 5 5 5 5\n5 5 5 5 5 5 9 5 9 5 9 5 5 5 5 5 5\n5 5 5 5 5 5 9 5 5 5 9 5 5 5 5 5 5\n5 5 5 5 5 5 5 9 5 9 5 5 5 5 5 5 5\n5 5 5 5 5 5 9 9 5 9 9 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 9 5 5 5 5 5 5 5 5", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n5 5 5 5 5 5 5\n5 9 5 9 9 9 5\n5 9 9 9 5 5 5\n5 5 9 5 5 5 5\n5 9 9 9 5 5 5\n5 9 5 9 9 9 5\n5 5 5 5 5 5 5\n5 5 5 5 5 5 5\n5 5 5 5 5 5 5\nOutput:\n5 5 5 5 5 9 5 5 5 9 5 5 5 5 5\n5 5 5 5 5 9 5 5 5 9 5 5 5 5 5\n5 5 5 5 5 9 9 5 9 9 5 5 5 5 5\n5 5 5 5 5 5 9 9 9 5 5 5 5 5 5\n5 5 5 5 5 9 9 5 9 9 5 5 5 5 5\n9 9 9 5 9 5 5 5 5 5 9 5 9 9 9\n5 5 9 9 9 5 5 5 5 5 9 9 9 5 5\n5 5 5 9 5 5 5 5 5 5 5 9 5 5 5\n5 5 9 9 9 5 5 5 5 5 9 9 9 5 5\n9 9 9 5 9 5 5 5 5 5 9 5 9 9 9\n5 5 5 5 5 9 9 5 9 9 5 5 5 5 5\n5 5 5 5 5 5 9 9 9 5 5 5 5 5 5\n5 5 5 5 5 9 9 5 9 9 5 5 5 5 5\n5 5 5 5 5 9 5 5 5 9 5 5 5 5 5\n5 5 5 5 5 9 5 5 5 9 5 5 5 5 5\n\nExample 2:\n\nInput:\n5 5 5 5 5 5 5\n5 5 5 5 5 5 5\n5 5 5 9 9 5 5\n5 5 9 9 5 9 5\n5 5 5 9 9 5 5\n5 5 5 5 5 5 5\n5 5 5 5 5 5 5\nOutput:\n5 5 5 5 5 9 5 5 5 5 5\n5 5 5 5 9 5 9 5 5 5 5\n5 5 5 5 9 9 9 5 5 5 5\n5 5 5 5 5 9 5 5 5 5 5\n5 9 9 5 5 5 5 5 9 9 5\n9 5 9 9 5 5 5 9 9 5 9\n5 9 9 5 5 5 5 5 9 9 5\n5 5 5 5 5 9 5 5 5 5 5\n5 5 5 5 9 9 9 5 5 5 5\n5 5 5 5 9 5 9 5 5 5 5\n5 5 5 5 5 9 5 5 5 5 5\n\nExample 3:\n\nInput:\n5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5\n5 5 9 5 9 5 5 5\n5 5 9 9 9 9 5 5\n5 5 9 5 9 5 5 5\n5 5 5 5 5 5 5 5\nOutput:\n5 5 5 5 5 9 5 5 5 5 5\n5 5 5 5 9 9 9 5 5 5 5\n5 5 5 5 5 9 5 5 5 5 5\n5 5 5 5 9 9 9 5 5 5 5\n5 9 5 9 5 5 5 9 5 9 5\n9 9 9 9 5 5 5 9 9 9 9\n5 9 5 9 5 5 5 9 5 9 5\n5 5 5 5 9 9 9 5 5 5 5\n5 5 5 5 5 9 5 5 5 5 5\n5 5 5 5 9 9 9 5 5 5 5\n5 5 5 5 5 9 5 5 5 5 5\n\nExample 4:\n\nInput:\n5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5\n5 5 5 9 5 5 5 9\n5 5 5 9 9 9 5 9\n5 5 5 5 5 9 9 5\n5 5 5 9 9 9 5 9\n5 5 5 9 5 5 5 9\nOutput:\n5 5 5 5 5 9 9 5 9 9 5 5 5 5 5\n5 5 5 5 5 5 5 9 5 5 5 5 5 5 5\n5 5 5 5 5 5 9 9 9 5 5 5 5 5 5\n5 5 5 5 5 5 9 5 9 5 5 5 5 5 5\n5 5 5 5 5 9 9 5 9 9 5 5 5 5 5\n9 5 5 5 9 5 5 5 5 5 9 5 5 5 9\n9 5 9 9 9 5 5 5 5 5 9 9 9 5 9\n5 9 9 5 5 5 5 5 5 5 5 5 9 9 5\n9 5 9 9 9 5 5 5 5 5 9 9 9 5 9\n9 5 5 5 9 5 5 5 5 5 9 5 5 5 9\n5 5 5 5 5 9 9 5 9 9 5 5 5 5 5\n5 5 5 5 5 5 9 5 9 5 5 5 5 5 5\n5 5 5 5 5 5 9 9 9 5 5 5 5 5 5\n5 5 5 5 5 5 5 9 5 5 5 5 5 5 5\n5 5 5 5 5 9 9 5 9 9 5 5 5 5 5\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n5 5 5 5 5 5 5 5 5 5\n5 5 5 9 9 9 5 9 5 5\n5 5 5 9 5 5 9 9 5 5\n5 5 5 5 9 5 5 5 9 5\n5 5 5 9 5 5 9 9 5 5\n5 5 5 9 9 9 5 9 5 5\n5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5\n", "answer": "5 5 5 5 5 5 5 5 9 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 9 9 5 9 9 5 5 5 5 5 5\n5 5 5 5 5 5 5 9 5 9 5 5 5 5 5 5 5\n5 5 5 5 5 5 9 5 5 5 9 5 5 5 5 5 5\n5 5 5 5 5 5 9 5 9 5 9 5 5 5 5 5 5\n5 5 5 5 5 5 9 9 5 9 9 5 5 5 5 5 5\n5 9 5 9 9 9 5 5 5 5 5 9 9 9 5 9 5\n5 9 9 5 5 9 5 5 5 5 5 9 5 5 9 9 5\n9 5 5 5 9 5 5 5 5 5 5 5 9 5 5 5 9\n5 9 9 5 5 9 5 5 5 5 5 9 5 5 9 9 5\n5 9 5 9 9 9 5 5 5 5 5 9 9 9 5 9 5\n5 5 5 5 5 5 9 9 5 9 9 5 5 5 5 5 5\n5 5 5 5 5 5 9 5 9 5 9 5 5 5 5 5 5\n5 5 5 5 5 5 9 5 5 5 9 5 5 5 5 5 5\n5 5 5 5 5 5 5 9 5 9 5 5 5 5 5 5 5\n5 5 5 5 5 5 9 9 5 9 9 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 9 5 5 5 5 5 5 5 5", "metadata": {"source_dataset": "arc_agi", "source_index": 280, "input": [[5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 9, 9, 9, 5, 9, 5, 5], [5, 5, 5, 9, 5, 5, 9, 9, 5, 5], [5, 5, 5, 5, 9, 5, 5, 5, 9, 5], [5, 5, 5, 9, 5, 5, 9, 9, 5, 5], [5, 5, 5, 9, 9, 9, 5, 9, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5]], "output": [[5, 5, 5, 5, 5, 5, 5, 5, 9, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 9, 9, 5, 9, 9, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 9, 5, 9, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 9, 5, 5, 5, 9, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 9, 5, 9, 5, 9, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 9, 9, 5, 9, 9, 5, 5, 5, 5, 5, 5], [5, 9, 5, 9, 9, 9, 5, 5, 5, 5, 5, 9, 9, 9, 5, 9, 5], [5, 9, 9, 5, 5, 9, 5, 5, 5, 5, 5, 9, 5, 5, 9, 9, 5], [9, 5, 5, 5, 9, 5, 5, 5, 5, 5, 5, 5, 9, 5, 5, 5, 9], [5, 9, 9, 5, 5, 9, 5, 5, 5, 5, 5, 9, 5, 5, 9, 9, 5], [5, 9, 5, 9, 9, 9, 5, 5, 5, 5, 5, 9, 9, 9, 5, 9, 5], [5, 5, 5, 5, 5, 5, 9, 9, 5, 9, 9, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 9, 5, 9, 5, 9, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 9, 5, 5, 5, 9, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 9, 5, 9, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 9, 9, 5, 9, 9, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 9, 5, 5, 5, 5, 5, 5, 5, 5]], "task_id": "2697da3f", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 280, "input": [[5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 9, 9, 9, 5, 9, 5, 5], [5, 5, 5, 9, 5, 5, 9, 9, 5, 5], [5, 5, 5, 5, 9, 5, 5, 5, 9, 5], [5, 5, 5, 9, 5, 5, 9, 9, 5, 5], [5, 5, 5, 9, 9, 9, 5, 9, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5]], "output": [[5, 5, 5, 5, 5, 5, 5, 5, 9, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 9, 9, 5, 9, 9, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 9, 5, 9, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 9, 5, 5, 5, 9, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 9, 5, 9, 5, 9, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 9, 9, 5, 9, 9, 5, 5, 5, 5, 5, 5], [5, 9, 5, 9, 9, 9, 5, 5, 5, 5, 5, 9, 9, 9, 5, 9, 5], [5, 9, 9, 5, 5, 9, 5, 5, 5, 5, 5, 9, 5, 5, 9, 9, 5], [9, 5, 5, 5, 9, 5, 5, 5, 5, 5, 5, 5, 9, 5, 5, 5, 9], [5, 9, 9, 5, 5, 9, 5, 5, 5, 5, 5, 9, 5, 5, 9, 9, 5], [5, 9, 5, 9, 9, 9, 5, 5, 5, 5, 5, 9, 9, 9, 5, 9, 5], [5, 5, 5, 5, 5, 5, 9, 9, 5, 9, 9, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 9, 5, 9, 5, 9, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 9, 5, 5, 5, 9, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 9, 5, 9, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 9, 9, 5, 9, 9, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 9, 5, 5, 5, 5, 5, 5, 5, 5]], "task_id": "2697da3f", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null
General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 8 8 9 8 8 8 1 8 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 Output: 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 1 3 3 3 3 3 9 3 3 3 8 3 3 3 3 3 8 3 3 3 8 3 3 3 3 3 8 3 3 3 8 3 3 8 8 8 9 8 8 8 1 8 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 Example 2: Input: 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 8 8 8 9 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 Output: 3 3 3 3 9 3 3 3 3 3 8 3 3 3 3 3 8 3 8 8 8 8 9 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 Example 3: Input: 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 8 8 1 8 8 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 Output: 3 3 3 3 3 3 3 3 3 3 1 3 3 3 3 3 3 8 3 3 3 3 3 3 8 3 3 3 3 3 3 8 3 3 3 8 8 8 1 8 8 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 Example 4: Input: 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 1 8 9 8 8 8 9 8 3 3 3 3 3 3 3 3 3 Output: 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 1 3 3 3 3 3 3 3 3 8 3 9 3 3 3 9 3 3 8 3 8 3 3 3 8 3 3 8 3 8 3 3 3 8 3 8 1 8 9 8 8 8 9 8 3 3 3 3 3 3 3 3 3 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 1 8 9 8 8 8 9 8 1 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3\n3 1 3 3 3 3 3 3 3 1 3\n3 8 3 9 3 3 3 9 3 8 3\n3 8 3 8 3 3 3 8 3 8 3\n3 8 3 8 3 3 3 8 3 8 3\n8 1 8 9 8 8 8 9 8 1 8\n3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3\n8 8 8 9 8 8 8 1 8 8\n3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3\nOutput:\n3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 1 3 3\n3 3 3 9 3 3 3 8 3 3\n3 3 3 8 3 3 3 8 3 3\n3 3 3 8 3 3 3 8 3 3\n8 8 8 9 8 8 8 1 8 8\n3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3\n\nExample 2:\n\nInput:\n3 3 3 3 3 3\n3 3 3 3 3 3\n3 3 3 3 3 3\n8 8 8 8 9 8\n3 3 3 3 3 3\n3 3 3 3 3 3\n3 3 3 3 3 3\n3 3 3 3 3 3\n3 3 3 3 3 3\nOutput:\n3 3 3 3 9 3\n3 3 3 3 8 3\n3 3 3 3 8 3\n8 8 8 8 9 8\n3 3 3 3 3 3\n3 3 3 3 3 3\n3 3 3 3 3 3\n3 3 3 3 3 3\n3 3 3 3 3 3\n\nExample 3:\n\nInput:\n3 3 3 3 3 3 3\n3 3 3 3 3 3 3\n3 3 3 3 3 3 3\n3 3 3 3 3 3 3\n3 3 3 3 3 3 3\n8 8 8 1 8 8 8\n3 3 3 3 3 3 3\n3 3 3 3 3 3 3\n3 3 3 3 3 3 3\n3 3 3 3 3 3 3\nOutput:\n3 3 3 3 3 3 3\n3 3 3 1 3 3 3\n3 3 3 8 3 3 3\n3 3 3 8 3 3 3\n3 3 3 8 3 3 3\n8 8 8 1 8 8 8\n3 3 3 3 3 3 3\n3 3 3 3 3 3 3\n3 3 3 3 3 3 3\n3 3 3 3 3 3 3\n\nExample 4:\n\nInput:\n3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3\n8 1 8 9 8 8 8 9 8\n3 3 3 3 3 3 3 3 3\nOutput:\n3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3\n3 1 3 3 3 3 3 3 3\n3 8 3 9 3 3 3 9 3\n3 8 3 8 3 3 3 8 3\n3 8 3 8 3 3 3 8 3\n8 1 8 9 8 8 8 9 8\n3 3 3 3 3 3 3 3 3\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3\n8 1 8 9 8 8 8 9 8 1 8\n3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3\n", "answer": "3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3\n3 1 3 3 3 3 3 3 3 1 3\n3 8 3 9 3 3 3 9 3 8 3\n3 8 3 8 3 3 3 8 3 8 3\n3 8 3 8 3 3 3 8 3 8 3\n8 1 8 9 8 8 8 9 8 1 8\n3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3", "metadata": {"source_dataset": "arc_agi", "source_index": 281, "input": [[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [8, 1, 8, 9, 8, 8, 8, 9, 8, 1, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]], "output": [[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 1, 3, 3, 3, 3, 3, 3, 3, 1, 3], [3, 8, 3, 9, 3, 3, 3, 9, 3, 8, 3], [3, 8, 3, 8, 3, 3, 3, 8, 3, 8, 3], [3, 8, 3, 8, 3, 3, 3, 8, 3, 8, 3], [8, 1, 8, 9, 8, 8, 8, 9, 8, 1, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]], "task_id": "72a961c9", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 281, "input": [[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [8, 1, 8, 9, 8, 8, 8, 9, 8, 1, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]], "output": [[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 1, 3, 3, 3, 3, 3, 3, 3, 1, 3], [3, 8, 3, 9, 3, 3, 3, 9, 3, 8, 3], [3, 8, 3, 8, 3, 3, 3, 8, 3, 8, 3], [3, 8, 3, 8, 3, 3, 3, 8, 3, 8, 3], [8, 1, 8, 9, 8, 8, 8, 9, 8, 1, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]], "task_id": "72a961c9", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null
General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 1 1 8 1 1 8 8 8 8 1 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 1 8 1 1 8 1 1 8 8 1 8 8 8 8 1 1 8 1 8 1 8 1 8 1 8 1 1 8 8 1 8 8 8 1 8 8 1 1 8 1 1 8 8 1 1 8 1 1 8 1 1 8 1 1 1 1 8 8 1 1 1 8 1 8 1 1 1 1 8 8 1 8 1 8 1 1 1 8 8 1 1 1 1 1 8 8 8 1 1 1 8 8 8 1 1 1 1 1 8 8 8 8 1 1 8 8 8 8 1 1 1 1 1 1 8 1 1 8 8 8 8 8 1 1 8 8 1 8 8 1 8 8 8 8 1 8 8 8 8 1 8 8 8 1 8 8 1 8 8 8 1 1 8 8 1 1 8 1 1 8 8 8 8 1 8 8 1 8 1 1 8 1 1 8 8 1 1 1 8 8 8 1 8 1 8 1 8 8 8 8 1 Output: 1 1 8 1 1 8 8 8 8 1 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8 1 8 1 1 8 1 1 8 8 1 8 8 8 8 1 1 8 1 8 1 8 1 8 1 8 1 1 8 8 1 8 8 8 1 8 8 1 1 8 1 1 8 8 1 1 8 1 1 8 1 1 8 1 1 1 1 8 8 1 1 1 8 1 8 1 1 1 1 8 8 1 8 1 8 1 1 1 8 8 1 5 5 1 1 8 8 8 1 1 1 8 8 8 1 1 5 5 1 8 8 8 8 1 1 8 8 8 8 1 1 1 1 1 1 8 1 1 8 8 8 8 8 1 1 8 8 1 8 8 1 8 8 8 8 1 8 8 8 8 1 8 8 8 1 8 8 1 8 8 8 1 1 8 8 1 1 8 1 1 8 8 8 8 1 8 8 1 8 1 1 8 1 1 8 8 1 1 1 8 8 8 1 8 1 8 1 8 8 8 8 1 Example 2: Input: 4 1 4 4 4 1 4 1 1 4 1 4 4 1 4 1 4 4 1 4 4 1 4 4 4 4 4 4 4 1 4 4 1 1 1 4 1 4 4 4 4 4 4 1 4 4 1 4 1 4 1 1 1 1 1 4 4 4 1 1 1 4 4 4 4 4 1 1 1 1 4 4 4 4 1 4 4 4 4 1 4 4 1 1 1 1 4 1 4 1 4 4 4 1 1 1 1 4 1 1 1 1 4 4 4 4 4 4 4 4 1 1 4 1 1 1 1 1 4 1 4 1 4 1 4 4 1 1 4 1 1 1 1 1 1 4 1 1 4 1 1 4 4 1 1 1 4 4 1 4 1 1 4 1 4 4 4 4 1 4 1 4 4 1 1 4 1 4 4 1 1 1 1 4 4 4 4 4 4 4 4 1 1 4 4 4 1 1 4 1 1 4 4 4 4 1 4 4 4 1 1 4 4 4 4 4 1 1 1 4 1 1 4 1 1 4 1 4 4 1 4 1 4 4 1 4 1 1 4 1 1 4 1 1 1 4 4 4 1 1 1 4 1 4 1 1 4 4 1 4 1 4 4 1 1 1 Output: 4 1 4 4 4 1 4 1 1 4 1 4 4 1 4 1 4 4 1 4 4 1 4 4 4 4 4 4 4 1 4 4 1 1 1 4 1 4 4 4 4 4 4 1 4 4 1 4 1 4 1 1 1 1 1 4 4 4 1 1 1 4 4 4 4 4 1 5 5 1 4 4 4 4 1 4 4 4 4 1 4 4 1 5 5 1 4 1 4 1 4 4 4 1 1 1 1 4 1 5 5 1 4 4 4 4 4 4 4 4 1 1 4 1 1 5 5 1 4 1 4 1 4 1 4 4 1 1 4 1 1 1 1 1 1 4 1 1 4 1 1 4 4 1 1 1 4 4 1 4 1 1 4 1 4 4 4 4 1 4 1 4 4 1 1 4 1 4 4 1 1 1 1 4 4 4 4 4 4 4 4 1 1 4 4 4 1 1 4 1 1 4 4 4 4 1 4 4 4 1 1 4 4 4 4 4 1 1 1 4 1 1 4 1 1 4 1 4 4 1 4 1 4 4 1 4 1 1 4 1 1 4 1 1 1 4 4 4 1 1 1 4 1 4 1 1 4 4 1 4 1 4 4 1 1 1 Example 3: Input: 1 1 0 1 0 0 0 7 7 0 7 0 0 0 0 0 0 1 0 0 7 0 0 0 0 0 0 0 1 1 7 0 1 1 0 1 0 0 0 0 1 0 1 0 7 0 0 1 1 1 0 0 0 7 0 1 0 7 0 1 0 0 1 1 1 1 0 0 0 0 0 1 1 0 0 0 0 1 1 1 1 0 0 0 0 7 1 0 0 1 0 7 0 1 1 0 0 1 1 0 0 1 1 1 0 0 7 1 1 1 1 0 0 1 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 0 0 0 7 1 1 0 0 0 1 1 0 0 0 1 0 0 0 0 0 0 1 7 0 0 7 0 0 1 0 0 0 1 7 0 7 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 7 0 1 0 0 0 1 0 0 1 1 1 1 1 1 0 0 1 1 1 7 0 0 0 1 0 1 1 1 1 1 1 1 1 0 0 0 0 1 0 0 0 0 1 1 0 0 1 1 1 1 1 1 0 0 0 1 1 7 0 0 1 0 7 0 0 1 1 1 1 1 1 0 1 7 1 0 0 1 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 1 0 0 0 0 1 1 0 0 0 0 1 0 1 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 1 7 0 7 0 0 0 1 0 0 0 0 0 1 1 1 0 Output: 1 1 0 1 0 0 0 7 7 0 7 0 0 0 0 0 0 1 0 0 7 0 0 0 0 0 0 0 1 1 7 0 1 1 0 1 0 0 0 0 1 0 1 0 7 0 0 1 1 1 0 0 0 7 0 1 0 7 0 1 0 0 1 1 1 1 0 0 0 0 0 1 1 0 0 0 0 1 1 1 1 0 0 0 0 7 1 0 0 1 0 7 0 1 1 0 0 1 1 0 0 1 1 1 0 0 7 1 1 1 1 0 0 1 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 0 0 0 7 1 1 0 0 0 1 1 0 0 0 1 0 0 0 0 0 0 1 7 0 0 7 0 0 1 0 0 0 1 7 0 7 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 7 0 1 0 0 0 1 0 0 1 1 1 1 1 1 0 0 1 1 1 7 0 0 0 1 0 1 1 1 5 5 5 5 1 0 0 0 0 1 0 0 0 0 1 1 0 0 1 5 5 5 5 1 0 0 0 1 1 7 0 0 1 0 7 0 0 1 5 5 5 5 1 0 1 7 1 0 0 1 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 1 0 0 0 0 1 1 0 0 0 0 1 0 1 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 1 7 0 7 0 0 0 1 0 0 0 0 0 1 1 1 0 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 6 6 1 6 6 1 1 6 6 1 6 6 6 6 6 6 6 1 1 1 6 6 6 1 1 6 1 6 1 6 1 6 6 1 6 6 6 6 6 6 1 6 1 6 1 1 1 6 1 1 1 1 1 6 1 6 6 6 6 6 6 6 1 6 6 1 6 6 6 6 6 6 6 1 6 1 1 6 6 6 1 6 6 6 6 6 1 1 6 6 1 6 1 6 1 1 6 6 6 6 6 1 6 1 1 1 6 1 1 1 1 1 1 1 6 6 6 6 6 6 6 6 6 1 1 6 6 1 6 6 1 1 1 1 1 6 1 6 6 6 1 6 1 1 1 6 6 6 6 1 6 1 1 1 1 1 6 6 6 6 6 1 1 6 1 6 6 1 1 1 6 1 1 1 1 1 1 6 6 6 6 1 6 6 6 1 6 6 1 1 1 6 1 1 1 1 1 1 1 6 6 6 6 1 6 6 1 6 6 6 6 1 6 1 1 1 1 1 1 6 6 1 6 1 1 6 6 6 6 6 1 6 1 6 6 6 6 6 6 6 1 6 6 1 6 6 6 1 1 6 6 1 1 6 6 6 6 1 6 6 6 6 1 1 6 6 6 6 6 1 1 1 1 1 1 6 1 1 6 6 1 1 6 1 6 6 6 6 1 1 6 1 1 6 6 6 1 1 1 1 1 1 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6 1 6 1 1 1 6 6 6 1 1 6 6 1 6 1 6 1 6 1 1 6 6 6 6 1 1 6 1 1 6 6 1 1 1 6 6 6 6 1 1 1 6 1 1 1 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 6 1 6 6 6 6 1 6 1 6 1 6 6 1 6 6 1 1 6 1 6 6 6 6 6 6 6 1 6 6 6 1 6 1 6 1 1 6 1 6 6 6 1 6 6 1 6 6 6 1 6 6 6 6 6 6
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "6 6 1 6 6 1 1 6 6 1 6 6 6 6 6 6 6 1 1 1 6\n6 6 1 1 6 1 6 1 6 1 6 6 1 6 6 6 6 6 6 1 6\n1 6 1 1 1 6 1 1 1 1 1 6 1 6 6 6 6 6 6 6 1\n6 6 1 6 6 6 6 6 6 6 1 6 1 1 6 6 6 1 6 6 6\n6 6 1 1 6 6 1 6 1 6 1 1 6 6 6 6 6 1 6 1 1\n1 6 1 1 1 1 1 1 1 6 6 6 6 6 6 6 6 6 1 1 6\n6 1 6 6 1 5 5 5 1 6 1 6 6 6 1 6 1 1 1 6 6\n6 6 1 6 1 5 5 5 1 6 6 6 6 6 1 1 6 1 6 6 1\n1 1 6 1 1 5 5 5 1 6 6 6 6 1 6 6 6 1 6 6 1\n1 1 6 1 1 5 5 5 1 1 6 6 6 6 1 6 6 1 6 6 6\n6 1 6 1 1 1 1 1 1 6 6 1 6 1 1 6 6 6 6 6 1\n6 1 6 6 6 6 6 6 6 1 6 6 1 6 6 6 1 1 6 6 1\n1 6 6 6 6 1 6 6 6 6 1 1 6 6 6 6 6 1 1 1 1\n1 1 6 1 1 6 6 1 1 6 1 6 6 6 6 1 1 6 1 1 6\n6 6 1 1 1 1 1 1 6 6 6 6 6 6 6 6 6 6 6 1 6\n6 6 6 6 6 6 6 6 6 6 1 6 1 1 1 6 6 6 1 1 6\n6 1 6 1 6 1 6 1 1 6 6 6 6 1 1 6 1 1 6 6 1\n1 1 6 6 6 6 1 1 1 6 1 1 1 6 6 6 6 6 6 6 1\n6 6 6 6 6 6 6 6 1 6 6 6 6 1 6 1 6 1 6 6 1\n6 6 1 1 6 1 6 6 6 6 6 6 6 1 6 6 6 1 6 1 6\n1 1 6 1 6 6 6 1 6 6 1 6 6 6 1 6 6 6 6 6 6", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n1 1 8 1 1 8 8 8 8 1 8 8 1 8 8\n8 8 8 8 8 8 8 8 8 8 8 1 8 8 8\n8 8 8 8 1 8 1 1 8 1 1 8 8 1 8\n8 8 8 1 1 8 1 8 1 8 1 8 1 8 1\n1 8 8 1 8 8 8 1 8 8 1 1 8 1 1\n8 8 1 1 8 1 1 8 1 1 8 1 1 1 1\n8 8 1 1 1 8 1 8 1 1 1 1 8 8 1\n8 1 8 1 1 1 8 8 1 1 1 1 1 8 8\n8 1 1 1 8 8 8 1 1 1 1 1 8 8 8\n8 1 1 8 8 8 8 1 1 1 1 1 1 8 1\n1 8 8 8 8 8 1 1 8 8 1 8 8 1 8\n8 8 8 1 8 8 8 8 1 8 8 8 1 8 8\n1 8 8 8 1 1 8 8 1 1 8 1 1 8 8\n8 8 1 8 8 1 8 1 1 8 1 1 8 8 1\n1 1 8 8 8 1 8 1 8 1 8 8 8 8 1\nOutput:\n1 1 8 1 1 8 8 8 8 1 8 8 1 8 8\n8 8 8 8 8 8 8 8 8 8 8 1 8 8 8\n8 8 8 8 1 8 1 1 8 1 1 8 8 1 8\n8 8 8 1 1 8 1 8 1 8 1 8 1 8 1\n1 8 8 1 8 8 8 1 8 8 1 1 8 1 1\n8 8 1 1 8 1 1 8 1 1 8 1 1 1 1\n8 8 1 1 1 8 1 8 1 1 1 1 8 8 1\n8 1 8 1 1 1 8 8 1 5 5 1 1 8 8\n8 1 1 1 8 8 8 1 1 5 5 1 8 8 8\n8 1 1 8 8 8 8 1 1 1 1 1 1 8 1\n1 8 8 8 8 8 1 1 8 8 1 8 8 1 8\n8 8 8 1 8 8 8 8 1 8 8 8 1 8 8\n1 8 8 8 1 1 8 8 1 1 8 1 1 8 8\n8 8 1 8 8 1 8 1 1 8 1 1 8 8 1\n1 1 8 8 8 1 8 1 8 1 8 8 8 8 1\n\nExample 2:\n\nInput:\n4 1 4 4 4 1 4 1 1 4 1 4 4 1 4 1\n4 4 1 4 4 1 4 4 4 4 4 4 4 1 4 4\n1 1 1 4 1 4 4 4 4 4 4 1 4 4 1 4\n1 4 1 1 1 1 1 4 4 4 1 1 1 4 4 4\n4 4 1 1 1 1 4 4 4 4 1 4 4 4 4 1\n4 4 1 1 1 1 4 1 4 1 4 4 4 1 1 1\n1 4 1 1 1 1 4 4 4 4 4 4 4 4 1 1\n4 1 1 1 1 1 4 1 4 1 4 1 4 4 1 1\n4 1 1 1 1 1 1 4 1 1 4 1 1 4 4 1\n1 1 4 4 1 4 1 1 4 1 4 4 4 4 1 4\n1 4 4 1 1 4 1 4 4 1 1 1 1 4 4 4\n4 4 4 4 4 1 1 4 4 4 1 1 4 1 1 4\n4 4 4 1 4 4 4 1 1 4 4 4 4 4 1 1\n1 4 1 1 4 1 1 4 1 4 4 1 4 1 4 4\n1 4 1 1 4 1 1 4 1 1 1 4 4 4 1 1\n1 4 1 4 1 1 4 4 1 4 1 4 4 1 1 1\nOutput:\n4 1 4 4 4 1 4 1 1 4 1 4 4 1 4 1\n4 4 1 4 4 1 4 4 4 4 4 4 4 1 4 4\n1 1 1 4 1 4 4 4 4 4 4 1 4 4 1 4\n1 4 1 1 1 1 1 4 4 4 1 1 1 4 4 4\n4 4 1 5 5 1 4 4 4 4 1 4 4 4 4 1\n4 4 1 5 5 1 4 1 4 1 4 4 4 1 1 1\n1 4 1 5 5 1 4 4 4 4 4 4 4 4 1 1\n4 1 1 5 5 1 4 1 4 1 4 1 4 4 1 1\n4 1 1 1 1 1 1 4 1 1 4 1 1 4 4 1\n1 1 4 4 1 4 1 1 4 1 4 4 4 4 1 4\n1 4 4 1 1 4 1 4 4 1 1 1 1 4 4 4\n4 4 4 4 4 1 1 4 4 4 1 1 4 1 1 4\n4 4 4 1 4 4 4 1 1 4 4 4 4 4 1 1\n1 4 1 1 4 1 1 4 1 4 4 1 4 1 4 4\n1 4 1 1 4 1 1 4 1 1 1 4 4 4 1 1\n1 4 1 4 1 1 4 4 1 4 1 4 4 1 1 1\n\nExample 3:\n\nInput:\n1 1 0 1 0 0 0 7 7 0 7 0 0 0 0 0 0 1 0\n0 7 0 0 0 0 0 0 0 1 1 7 0 1 1 0 1 0 0\n0 0 1 0 1 0 7 0 0 1 1 1 0 0 0 7 0 1 0\n7 0 1 0 0 1 1 1 1 0 0 0 0 0 1 1 0 0 0\n0 1 1 1 1 0 0 0 0 7 1 0 0 1 0 7 0 1 1\n0 0 1 1 0 0 1 1 1 0 0 7 1 1 1 1 0 0 1\n1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 0 1\n1 1 1 0 0 0 0 7 1 1 0 0 0 1 1 0 0 0 1\n0 0 0 0 0 0 1 7 0 0 7 0 0 1 0 0 0 1 7\n0 7 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1\n7 0 1 0 0 0 1 0 0 1 1 1 1 1 1 0 0 1 1\n1 7 0 0 0 1 0 1 1 1 1 1 1 1 1 0 0 0 0\n1 0 0 0 0 1 1 0 0 1 1 1 1 1 1 0 0 0 1\n1 7 0 0 1 0 7 0 0 1 1 1 1 1 1 0 1 7 1\n0 0 1 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 1\n0 0 0 0 1 1 0 0 0 0 1 0 1 1 0 0 0 0 0\n1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1\n1 1 1 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 1\n0 0 1 7 0 7 0 0 0 1 0 0 0 0 0 1 1 1 0\nOutput:\n1 1 0 1 0 0 0 7 7 0 7 0 0 0 0 0 0 1 0\n0 7 0 0 0 0 0 0 0 1 1 7 0 1 1 0 1 0 0\n0 0 1 0 1 0 7 0 0 1 1 1 0 0 0 7 0 1 0\n7 0 1 0 0 1 1 1 1 0 0 0 0 0 1 1 0 0 0\n0 1 1 1 1 0 0 0 0 7 1 0 0 1 0 7 0 1 1\n0 0 1 1 0 0 1 1 1 0 0 7 1 1 1 1 0 0 1\n1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 0 1\n1 1 1 0 0 0 0 7 1 1 0 0 0 1 1 0 0 0 1\n0 0 0 0 0 0 1 7 0 0 7 0 0 1 0 0 0 1 7\n0 7 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1\n7 0 1 0 0 0 1 0 0 1 1 1 1 1 1 0 0 1 1\n1 7 0 0 0 1 0 1 1 1 5 5 5 5 1 0 0 0 0\n1 0 0 0 0 1 1 0 0 1 5 5 5 5 1 0 0 0 1\n1 7 0 0 1 0 7 0 0 1 5 5 5 5 1 0 1 7 1\n0 0 1 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 1\n0 0 0 0 1 1 0 0 0 0 1 0 1 1 0 0 0 0 0\n1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1\n1 1 1 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 1\n0 0 1 7 0 7 0 0 0 1 0 0 0 0 0 1 1 1 0\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n6 6 1 6 6 1 1 6 6 1 6 6 6 6 6 6 6 1 1 1 6\n6 6 1 1 6 1 6 1 6 1 6 6 1 6 6 6 6 6 6 1 6\n1 6 1 1 1 6 1 1 1 1 1 6 1 6 6 6 6 6 6 6 1\n6 6 1 6 6 6 6 6 6 6 1 6 1 1 6 6 6 1 6 6 6\n6 6 1 1 6 6 1 6 1 6 1 1 6 6 6 6 6 1 6 1 1\n1 6 1 1 1 1 1 1 1 6 6 6 6 6 6 6 6 6 1 1 6\n6 1 6 6 1 1 1 1 1 6 1 6 6 6 1 6 1 1 1 6 6\n6 6 1 6 1 1 1 1 1 6 6 6 6 6 1 1 6 1 6 6 1\n1 1 6 1 1 1 1 1 1 6 6 6 6 1 6 6 6 1 6 6 1\n1 1 6 1 1 1 1 1 1 1 6 6 6 6 1 6 6 1 6 6 6\n6 1 6 1 1 1 1 1 1 6 6 1 6 1 1 6 6 6 6 6 1\n6 1 6 6 6 6 6 6 6 1 6 6 1 6 6 6 1 1 6 6 1\n1 6 6 6 6 1 6 6 6 6 1 1 6 6 6 6 6 1 1 1 1\n1 1 6 1 1 6 6 1 1 6 1 6 6 6 6 1 1 6 1 1 6\n6 6 1 1 1 1 1 1 6 6 6 6 6 6 6 6 6 6 6 1 6\n6 6 6 6 6 6 6 6 6 6 1 6 1 1 1 6 6 6 1 1 6\n6 1 6 1 6 1 6 1 1 6 6 6 6 1 1 6 1 1 6 6 1\n1 1 6 6 6 6 1 1 1 6 1 1 1 6 6 6 6 6 6 6 1\n6 6 6 6 6 6 6 6 1 6 6 6 6 1 6 1 6 1 6 6 1\n6 6 1 1 6 1 6 6 6 6 6 6 6 1 6 6 6 1 6 1 6\n1 1 6 1 6 6 6 1 6 6 1 6 6 6 1 6 6 6 6 6 6\n", "answer": "6 6 1 6 6 1 1 6 6 1 6 6 6 6 6 6 6 1 1 1 6\n6 6 1 1 6 1 6 1 6 1 6 6 1 6 6 6 6 6 6 1 6\n1 6 1 1 1 6 1 1 1 1 1 6 1 6 6 6 6 6 6 6 1\n6 6 1 6 6 6 6 6 6 6 1 6 1 1 6 6 6 1 6 6 6\n6 6 1 1 6 6 1 6 1 6 1 1 6 6 6 6 6 1 6 1 1\n1 6 1 1 1 1 1 1 1 6 6 6 6 6 6 6 6 6 1 1 6\n6 1 6 6 1 5 5 5 1 6 1 6 6 6 1 6 1 1 1 6 6\n6 6 1 6 1 5 5 5 1 6 6 6 6 6 1 1 6 1 6 6 1\n1 1 6 1 1 5 5 5 1 6 6 6 6 1 6 6 6 1 6 6 1\n1 1 6 1 1 5 5 5 1 1 6 6 6 6 1 6 6 1 6 6 6\n6 1 6 1 1 1 1 1 1 6 6 1 6 1 1 6 6 6 6 6 1\n6 1 6 6 6 6 6 6 6 1 6 6 1 6 6 6 1 1 6 6 1\n1 6 6 6 6 1 6 6 6 6 1 1 6 6 6 6 6 1 1 1 1\n1 1 6 1 1 6 6 1 1 6 1 6 6 6 6 1 1 6 1 1 6\n6 6 1 1 1 1 1 1 6 6 6 6 6 6 6 6 6 6 6 1 6\n6 6 6 6 6 6 6 6 6 6 1 6 1 1 1 6 6 6 1 1 6\n6 1 6 1 6 1 6 1 1 6 6 6 6 1 1 6 1 1 6 6 1\n1 1 6 6 6 6 1 1 1 6 1 1 1 6 6 6 6 6 6 6 1\n6 6 6 6 6 6 6 6 1 6 6 6 6 1 6 1 6 1 6 6 1\n6 6 1 1 6 1 6 6 6 6 6 6 6 1 6 6 6 1 6 1 6\n1 1 6 1 6 6 6 1 6 6 1 6 6 6 1 6 6 6 6 6 6", "metadata": {"source_dataset": "arc_agi", "source_index": 282, "input": [[6, 6, 1, 6, 6, 1, 1, 6, 6, 1, 6, 6, 6, 6, 6, 6, 6, 1, 1, 1, 6], [6, 6, 1, 1, 6, 1, 6, 1, 6, 1, 6, 6, 1, 6, 6, 6, 6, 6, 6, 1, 6], [1, 6, 1, 1, 1, 6, 1, 1, 1, 1, 1, 6, 1, 6, 6, 6, 6, 6, 6, 6, 1], [6, 6, 1, 6, 6, 6, 6, 6, 6, 6, 1, 6, 1, 1, 6, 6, 6, 1, 6, 6, 6], [6, 6, 1, 1, 6, 6, 1, 6, 1, 6, 1, 1, 6, 6, 6, 6, 6, 1, 6, 1, 1], [1, 6, 1, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 1, 6], [6, 1, 6, 6, 1, 1, 1, 1, 1, 6, 1, 6, 6, 6, 1, 6, 1, 1, 1, 6, 6], [6, 6, 1, 6, 1, 1, 1, 1, 1, 6, 6, 6, 6, 6, 1, 1, 6, 1, 6, 6, 1], [1, 1, 6, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6, 1, 6, 6, 6, 1, 6, 6, 1], [1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6, 1, 6, 6, 1, 6, 6, 6], [6, 1, 6, 1, 1, 1, 1, 1, 1, 6, 6, 1, 6, 1, 1, 6, 6, 6, 6, 6, 1], [6, 1, 6, 6, 6, 6, 6, 6, 6, 1, 6, 6, 1, 6, 6, 6, 1, 1, 6, 6, 1], [1, 6, 6, 6, 6, 1, 6, 6, 6, 6, 1, 1, 6, 6, 6, 6, 6, 1, 1, 1, 1], [1, 1, 6, 1, 1, 6, 6, 1, 1, 6, 1, 6, 6, 6, 6, 1, 1, 6, 1, 1, 6], [6, 6, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 6, 1, 1, 1, 6, 6, 6, 1, 1, 6], [6, 1, 6, 1, 6, 1, 6, 1, 1, 6, 6, 6, 6, 1, 1, 6, 1, 1, 6, 6, 1], [1, 1, 6, 6, 6, 6, 1, 1, 1, 6, 1, 1, 1, 6, 6, 6, 6, 6, 6, 6, 1], [6, 6, 6, 6, 6, 6, 6, 6, 1, 6, 6, 6, 6, 1, 6, 1, 6, 1, 6, 6, 1], [6, 6, 1, 1, 6, 1, 6, 6, 6, 6, 6, 6, 6, 1, 6, 6, 6, 1, 6, 1, 6], [1, 1, 6, 1, 6, 6, 6, 1, 6, 6, 1, 6, 6, 6, 1, 6, 6, 6, 6, 6, 6]], "output": [[6, 6, 1, 6, 6, 1, 1, 6, 6, 1, 6, 6, 6, 6, 6, 6, 6, 1, 1, 1, 6], [6, 6, 1, 1, 6, 1, 6, 1, 6, 1, 6, 6, 1, 6, 6, 6, 6, 6, 6, 1, 6], [1, 6, 1, 1, 1, 6, 1, 1, 1, 1, 1, 6, 1, 6, 6, 6, 6, 6, 6, 6, 1], [6, 6, 1, 6, 6, 6, 6, 6, 6, 6, 1, 6, 1, 1, 6, 6, 6, 1, 6, 6, 6], [6, 6, 1, 1, 6, 6, 1, 6, 1, 6, 1, 1, 6, 6, 6, 6, 6, 1, 6, 1, 1], [1, 6, 1, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 1, 6], [6, 1, 6, 6, 1, 5, 5, 5, 1, 6, 1, 6, 6, 6, 1, 6, 1, 1, 1, 6, 6], [6, 6, 1, 6, 1, 5, 5, 5, 1, 6, 6, 6, 6, 6, 1, 1, 6, 1, 6, 6, 1], [1, 1, 6, 1, 1, 5, 5, 5, 1, 6, 6, 6, 6, 1, 6, 6, 6, 1, 6, 6, 1], [1, 1, 6, 1, 1, 5, 5, 5, 1, 1, 6, 6, 6, 6, 1, 6, 6, 1, 6, 6, 6], [6, 1, 6, 1, 1, 1, 1, 1, 1, 6, 6, 1, 6, 1, 1, 6, 6, 6, 6, 6, 1], [6, 1, 6, 6, 6, 6, 6, 6, 6, 1, 6, 6, 1, 6, 6, 6, 1, 1, 6, 6, 1], [1, 6, 6, 6, 6, 1, 6, 6, 6, 6, 1, 1, 6, 6, 6, 6, 6, 1, 1, 1, 1], [1, 1, 6, 1, 1, 6, 6, 1, 1, 6, 1, 6, 6, 6, 6, 1, 1, 6, 1, 1, 6], [6, 6, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 6, 1, 1, 1, 6, 6, 6, 1, 1, 6], [6, 1, 6, 1, 6, 1, 6, 1, 1, 6, 6, 6, 6, 1, 1, 6, 1, 1, 6, 6, 1], [1, 1, 6, 6, 6, 6, 1, 1, 1, 6, 1, 1, 1, 6, 6, 6, 6, 6, 6, 6, 1], [6, 6, 6, 6, 6, 6, 6, 6, 1, 6, 6, 6, 6, 1, 6, 1, 6, 1, 6, 6, 1], [6, 6, 1, 1, 6, 1, 6, 6, 6, 6, 6, 6, 6, 1, 6, 6, 6, 1, 6, 1, 6], [1, 1, 6, 1, 6, 6, 6, 1, 6, 6, 1, 6, 6, 6, 1, 6, 6, 6, 6, 6, 6]], "task_id": "e88171ec", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 282, "input": [[6, 6, 1, 6, 6, 1, 1, 6, 6, 1, 6, 6, 6, 6, 6, 6, 6, 1, 1, 1, 6], [6, 6, 1, 1, 6, 1, 6, 1, 6, 1, 6, 6, 1, 6, 6, 6, 6, 6, 6, 1, 6], [1, 6, 1, 1, 1, 6, 1, 1, 1, 1, 1, 6, 1, 6, 6, 6, 6, 6, 6, 6, 1], [6, 6, 1, 6, 6, 6, 6, 6, 6, 6, 1, 6, 1, 1, 6, 6, 6, 1, 6, 6, 6], [6, 6, 1, 1, 6, 6, 1, 6, 1, 6, 1, 1, 6, 6, 6, 6, 6, 1, 6, 1, 1], [1, 6, 1, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 1, 6], [6, 1, 6, 6, 1, 1, 1, 1, 1, 6, 1, 6, 6, 6, 1, 6, 1, 1, 1, 6, 6], [6, 6, 1, 6, 1, 1, 1, 1, 1, 6, 6, 6, 6, 6, 1, 1, 6, 1, 6, 6, 1], [1, 1, 6, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6, 1, 6, 6, 6, 1, 6, 6, 1], [1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6, 1, 6, 6, 1, 6, 6, 6], [6, 1, 6, 1, 1, 1, 1, 1, 1, 6, 6, 1, 6, 1, 1, 6, 6, 6, 6, 6, 1], [6, 1, 6, 6, 6, 6, 6, 6, 6, 1, 6, 6, 1, 6, 6, 6, 1, 1, 6, 6, 1], [1, 6, 6, 6, 6, 1, 6, 6, 6, 6, 1, 1, 6, 6, 6, 6, 6, 1, 1, 1, 1], [1, 1, 6, 1, 1, 6, 6, 1, 1, 6, 1, 6, 6, 6, 6, 1, 1, 6, 1, 1, 6], [6, 6, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 6, 1, 1, 1, 6, 6, 6, 1, 1, 6], [6, 1, 6, 1, 6, 1, 6, 1, 1, 6, 6, 6, 6, 1, 1, 6, 1, 1, 6, 6, 1], [1, 1, 6, 6, 6, 6, 1, 1, 1, 6, 1, 1, 1, 6, 6, 6, 6, 6, 6, 6, 1], [6, 6, 6, 6, 6, 6, 6, 6, 1, 6, 6, 6, 6, 1, 6, 1, 6, 1, 6, 6, 1], [6, 6, 1, 1, 6, 1, 6, 6, 6, 6, 6, 6, 6, 1, 6, 6, 6, 1, 6, 1, 6], [1, 1, 6, 1, 6, 6, 6, 1, 6, 6, 1, 6, 6, 6, 1, 6, 6, 6, 6, 6, 6]], "output": [[6, 6, 1, 6, 6, 1, 1, 6, 6, 1, 6, 6, 6, 6, 6, 6, 6, 1, 1, 1, 6], [6, 6, 1, 1, 6, 1, 6, 1, 6, 1, 6, 6, 1, 6, 6, 6, 6, 6, 6, 1, 6], [1, 6, 1, 1, 1, 6, 1, 1, 1, 1, 1, 6, 1, 6, 6, 6, 6, 6, 6, 6, 1], [6, 6, 1, 6, 6, 6, 6, 6, 6, 6, 1, 6, 1, 1, 6, 6, 6, 1, 6, 6, 6], [6, 6, 1, 1, 6, 6, 1, 6, 1, 6, 1, 1, 6, 6, 6, 6, 6, 1, 6, 1, 1], [1, 6, 1, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 1, 6], [6, 1, 6, 6, 1, 5, 5, 5, 1, 6, 1, 6, 6, 6, 1, 6, 1, 1, 1, 6, 6], [6, 6, 1, 6, 1, 5, 5, 5, 1, 6, 6, 6, 6, 6, 1, 1, 6, 1, 6, 6, 1], [1, 1, 6, 1, 1, 5, 5, 5, 1, 6, 6, 6, 6, 1, 6, 6, 6, 1, 6, 6, 1], [1, 1, 6, 1, 1, 5, 5, 5, 1, 1, 6, 6, 6, 6, 1, 6, 6, 1, 6, 6, 6], [6, 1, 6, 1, 1, 1, 1, 1, 1, 6, 6, 1, 6, 1, 1, 6, 6, 6, 6, 6, 1], [6, 1, 6, 6, 6, 6, 6, 6, 6, 1, 6, 6, 1, 6, 6, 6, 1, 1, 6, 6, 1], [1, 6, 6, 6, 6, 1, 6, 6, 6, 6, 1, 1, 6, 6, 6, 6, 6, 1, 1, 1, 1], [1, 1, 6, 1, 1, 6, 6, 1, 1, 6, 1, 6, 6, 6, 6, 1, 1, 6, 1, 1, 6], [6, 6, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 6, 1, 1, 1, 6, 6, 6, 1, 1, 6], [6, 1, 6, 1, 6, 1, 6, 1, 1, 6, 6, 6, 6, 1, 1, 6, 1, 1, 6, 6, 1], [1, 1, 6, 6, 6, 6, 1, 1, 1, 6, 1, 1, 1, 6, 6, 6, 6, 6, 6, 6, 1], [6, 6, 6, 6, 6, 6, 6, 6, 1, 6, 6, 6, 6, 1, 6, 1, 6, 1, 6, 6, 1], [6, 6, 1, 1, 6, 1, 6, 6, 6, 6, 6, 6, 6, 1, 6, 6, 6, 1, 6, 1, 6], [1, 1, 6, 1, 6, 6, 6, 1, 6, 6, 1, 6, 6, 6, 1, 6, 6, 6, 6, 6, 6]], "task_id": "e88171ec", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null
General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 2 7 2 2 7 2 7 2 7 2 7 2 2 2 7 7 2 2 2 2 2 7 2 7 7 2 2 7 2 2 2 7 7 7 7 2 2 7 7 2 2 7 7 7 7 2 7 2 7 7 2 2 7 2 2 7 7 7 7 2 2 7 7 2 7 2 7 2 2 2 7 2 2 7 7 7 7 7 7 2 7 2 7 7 2 2 7 7 7 2 2 2 7 2 2 7 2 2 7 7 2 7 2 2 7 2 7 2 7 2 7 7 7 7 7 2 7 2 2 2 2 2 7 2 2 7 2 2 2 7 2 7 2 7 2 7 7 2 2 2 7 2 2 7 Output: 2 7 2 2 7 3 7 2 7 2 7 2 2 2 7 7 3 3 3 2 2 7 2 7 7 2 2 7 2 3 2 7 7 7 7 2 2 7 7 2 2 7 7 7 7 2 7 2 7 7 2 2 7 2 2 7 7 7 7 2 2 7 7 2 7 2 7 2 2 2 7 2 2 7 7 7 7 7 7 2 7 2 7 7 2 2 7 7 7 2 2 2 7 2 2 7 2 2 7 7 2 7 2 2 7 2 7 2 7 2 7 7 7 7 7 3 7 2 2 2 2 2 7 2 2 7 3 3 3 7 2 7 2 7 2 7 7 2 2 3 7 2 2 7 Example 2: Input: 7 2 7 7 2 7 7 7 7 7 2 7 7 7 7 7 7 7 7 2 2 2 2 7 7 7 7 7 7 2 7 2 2 2 7 7 7 7 7 2 7 7 7 2 2 2 7 7 7 2 7 2 7 7 7 7 2 7 7 7 2 7 7 7 2 7 7 2 7 7 2 2 2 2 7 7 2 7 2 7 7 2 2 2 2 2 2 2 7 7 7 7 7 2 2 2 7 7 7 2 2 7 7 7 7 2 7 2 7 7 2 2 2 7 7 2 2 7 7 7 7 2 2 2 7 7 7 7 7 7 7 7 7 7 2 2 2 2 7 2 2 2 7 7 Output: 7 2 7 7 2 7 7 7 7 7 2 7 7 7 7 7 7 7 7 2 3 2 2 7 7 7 7 7 7 2 7 3 3 3 7 7 7 7 7 2 7 7 7 3 3 3 7 7 7 2 7 2 7 7 7 7 3 7 7 7 2 7 7 7 2 7 7 2 7 7 3 2 2 2 7 7 2 7 2 7 7 3 3 3 2 2 2 2 7 7 7 7 7 2 3 2 7 7 7 3 2 7 7 7 7 2 7 2 7 7 3 3 3 7 7 2 2 7 7 7 7 3 3 3 7 7 7 7 7 7 7 7 7 7 3 2 2 2 7 2 2 2 7 7 Example 3: Input: 7 7 7 7 7 7 7 2 7 2 2 7 2 2 2 2 7 7 2 2 2 7 7 2 2 7 2 7 2 2 2 2 7 7 7 7 7 7 2 7 7 2 2 2 7 2 7 2 2 7 7 2 2 2 7 2 7 2 7 2 2 2 2 2 2 7 2 2 2 7 2 7 7 7 7 7 2 2 7 7 2 7 7 7 7 7 2 2 7 7 2 2 7 7 2 7 2 2 7 2 2 2 7 7 2 2 7 2 7 7 7 7 7 7 7 7 2 7 2 7 7 7 2 2 2 7 7 2 2 2 7 2 7 7 7 2 7 2 7 7 7 7 2 7 Output: 7 7 7 7 7 7 7 3 7 2 2 7 2 2 2 2 7 7 3 3 3 7 7 2 2 7 2 7 2 3 3 3 7 7 7 7 7 7 2 7 7 2 3 2 7 2 7 2 2 7 7 2 2 2 7 2 7 2 7 2 2 2 2 2 2 7 2 2 2 7 2 7 7 7 7 7 2 2 7 7 2 7 7 7 7 7 2 2 7 7 2 2 7 7 2 7 2 2 7 2 2 2 7 7 2 2 7 2 7 7 7 7 7 7 7 7 2 7 2 7 7 7 2 2 2 7 7 2 2 2 7 2 7 7 7 2 7 2 7 7 7 7 2 7 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 7 7 7 2 2 2 2 7 2 7 7 7 7 7 7 2 7 7 2 7 7 2 2 2 2 7 7 2 7 7 2 7 2 2 2 2 2 2 7 2 7 2 2 7 7 2 2 2 7 7 7 7 7 7 2 2 7 2 7 2 2 2 2 7 2 7 7 2 7 7 2 7 2 2 2 2 2 2 2 7 7 7 2 2 7 7 2 7 7 2 7 2 7 7 7 2 2 7 2 2 7 7 2 7 2 2 2 7 7 7 7 7 7 2 2 2 7 7 7 7 2 2 2 7 2 7 2 2 7 7 7 2 2 7 2 7 2 7 7 7 7 7 2 7
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "7 7 7 2 2 2 2 7 2 7 7 7\n7 7 7 2 7 7 2 7 7 3 3 2\n2 7 7 2 7 7 2 7 3 3 3 3\n2 2 7 2 7 2 2 7 7 3 3 2\n7 7 7 7 7 7 2 2 7 2 7 2\n2 2 3 7 2 7 7 2 7 7 2 7\n2 3 3 3 2 2 2 7 7 7 2 2\n7 7 3 7 7 2 7 2 7 7 7 2\n2 7 2 2 7 7 3 7 2 2 2 7\n7 7 7 7 7 3 3 3 7 7 7 7\n2 2 2 7 2 7 3 2 7 7 7 2\n2 7 2 7 2 7 7 7 7 7 2 7", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n2 7 2 2 7 2 7 2 7 2 7 2\n2 2 7 7 2 2 2 2 2 7 2 7\n7 2 2 7 2 2 2 7 7 7 7 2\n2 7 7 2 2 7 7 7 7 2 7 2\n7 7 2 2 7 2 2 7 7 7 7 2\n2 7 7 2 7 2 7 2 2 2 7 2\n2 7 7 7 7 7 7 2 7 2 7 7\n2 2 7 7 7 2 2 2 7 2 2 7\n2 2 7 7 2 7 2 2 7 2 7 2\n7 2 7 7 7 7 7 2 7 2 2 2\n2 2 7 2 2 7 2 2 2 7 2 7\n2 7 2 7 7 2 2 2 7 2 2 7\nOutput:\n2 7 2 2 7 3 7 2 7 2 7 2\n2 2 7 7 3 3 3 2 2 7 2 7\n7 2 2 7 2 3 2 7 7 7 7 2\n2 7 7 2 2 7 7 7 7 2 7 2\n7 7 2 2 7 2 2 7 7 7 7 2\n2 7 7 2 7 2 7 2 2 2 7 2\n2 7 7 7 7 7 7 2 7 2 7 7\n2 2 7 7 7 2 2 2 7 2 2 7\n2 2 7 7 2 7 2 2 7 2 7 2\n7 2 7 7 7 7 7 3 7 2 2 2\n2 2 7 2 2 7 3 3 3 7 2 7\n2 7 2 7 7 2 2 3 7 2 2 7\n\nExample 2:\n\nInput:\n7 2 7 7 2 7 7 7 7 7 2 7\n7 7 7 7 7 7 7 2 2 2 2 7\n7 7 7 7 7 2 7 2 2 2 7 7\n7 7 7 2 7 7 7 2 2 2 7 7\n7 2 7 2 7 7 7 7 2 7 7 7\n2 7 7 7 2 7 7 2 7 7 2 2\n2 2 7 7 2 7 2 7 7 2 2 2\n2 2 2 2 7 7 7 7 7 2 2 2\n7 7 7 2 2 7 7 7 7 2 7 2\n7 7 2 2 2 7 7 2 2 7 7 7\n7 2 2 2 7 7 7 7 7 7 7 7\n7 7 2 2 2 2 7 2 2 2 7 7\nOutput:\n7 2 7 7 2 7 7 7 7 7 2 7\n7 7 7 7 7 7 7 2 3 2 2 7\n7 7 7 7 7 2 7 3 3 3 7 7\n7 7 7 2 7 7 7 3 3 3 7 7\n7 2 7 2 7 7 7 7 3 7 7 7\n2 7 7 7 2 7 7 2 7 7 3 2\n2 2 7 7 2 7 2 7 7 3 3 3\n2 2 2 2 7 7 7 7 7 2 3 2\n7 7 7 3 2 7 7 7 7 2 7 2\n7 7 3 3 3 7 7 2 2 7 7 7\n7 3 3 3 7 7 7 7 7 7 7 7\n7 7 3 2 2 2 7 2 2 2 7 7\n\nExample 3:\n\nInput:\n7 7 7 7 7 7 7 2 7 2 2 7\n2 2 2 2 7 7 2 2 2 7 7 2\n2 7 2 7 2 2 2 2 7 7 7 7\n7 7 2 7 7 2 2 2 7 2 7 2\n2 7 7 2 2 2 7 2 7 2 7 2\n2 2 2 2 2 7 2 2 2 7 2 7\n7 7 7 7 2 2 7 7 2 7 7 7\n7 7 2 2 7 7 2 2 7 7 2 7\n2 2 7 2 2 2 7 7 2 2 7 2\n7 7 7 7 7 7 7 7 2 7 2 7\n7 7 2 2 2 7 7 2 2 2 7 2\n7 7 7 2 7 2 7 7 7 7 2 7\nOutput:\n7 7 7 7 7 7 7 3 7 2 2 7\n2 2 2 2 7 7 3 3 3 7 7 2\n2 7 2 7 2 3 3 3 7 7 7 7\n7 7 2 7 7 2 3 2 7 2 7 2\n2 7 7 2 2 2 7 2 7 2 7 2\n2 2 2 2 2 7 2 2 2 7 2 7\n7 7 7 7 2 2 7 7 2 7 7 7\n7 7 2 2 7 7 2 2 7 7 2 7\n2 2 7 2 2 2 7 7 2 2 7 2\n7 7 7 7 7 7 7 7 2 7 2 7\n7 7 2 2 2 7 7 2 2 2 7 2\n7 7 7 2 7 2 7 7 7 7 2 7\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n7 7 7 2 2 2 2 7 2 7 7 7\n7 7 7 2 7 7 2 7 7 2 2 2\n2 7 7 2 7 7 2 7 2 2 2 2\n2 2 7 2 7 2 2 7 7 2 2 2\n7 7 7 7 7 7 2 2 7 2 7 2\n2 2 2 7 2 7 7 2 7 7 2 7\n2 2 2 2 2 2 2 7 7 7 2 2\n7 7 2 7 7 2 7 2 7 7 7 2\n2 7 2 2 7 7 2 7 2 2 2 7\n7 7 7 7 7 2 2 2 7 7 7 7\n2 2 2 7 2 7 2 2 7 7 7 2\n2 7 2 7 2 7 7 7 7 7 2 7\n", "answer": "7 7 7 2 2 2 2 7 2 7 7 7\n7 7 7 2 7 7 2 7 7 3 3 2\n2 7 7 2 7 7 2 7 3 3 3 3\n2 2 7 2 7 2 2 7 7 3 3 2\n7 7 7 7 7 7 2 2 7 2 7 2\n2 2 3 7 2 7 7 2 7 7 2 7\n2 3 3 3 2 2 2 7 7 7 2 2\n7 7 3 7 7 2 7 2 7 7 7 2\n2 7 2 2 7 7 3 7 2 2 2 7\n7 7 7 7 7 3 3 3 7 7 7 7\n2 2 2 7 2 7 3 2 7 7 7 2\n2 7 2 7 2 7 7 7 7 7 2 7", "metadata": {"source_dataset": "arc_agi", "source_index": 283, "input": [[7, 7, 7, 2, 2, 2, 2, 7, 2, 7, 7, 7], [7, 7, 7, 2, 7, 7, 2, 7, 7, 2, 2, 2], [2, 7, 7, 2, 7, 7, 2, 7, 2, 2, 2, 2], [2, 2, 7, 2, 7, 2, 2, 7, 7, 2, 2, 2], [7, 7, 7, 7, 7, 7, 2, 2, 7, 2, 7, 2], [2, 2, 2, 7, 2, 7, 7, 2, 7, 7, 2, 7], [2, 2, 2, 2, 2, 2, 2, 7, 7, 7, 2, 2], [7, 7, 2, 7, 7, 2, 7, 2, 7, 7, 7, 2], [2, 7, 2, 2, 7, 7, 2, 7, 2, 2, 2, 7], [7, 7, 7, 7, 7, 2, 2, 2, 7, 7, 7, 7], [2, 2, 2, 7, 2, 7, 2, 2, 7, 7, 7, 2], [2, 7, 2, 7, 2, 7, 7, 7, 7, 7, 2, 7]], "output": [[7, 7, 7, 2, 2, 2, 2, 7, 2, 7, 7, 7], [7, 7, 7, 2, 7, 7, 2, 7, 7, 3, 3, 2], [2, 7, 7, 2, 7, 7, 2, 7, 3, 3, 3, 3], [2, 2, 7, 2, 7, 2, 2, 7, 7, 3, 3, 2], [7, 7, 7, 7, 7, 7, 2, 2, 7, 2, 7, 2], [2, 2, 3, 7, 2, 7, 7, 2, 7, 7, 2, 7], [2, 3, 3, 3, 2, 2, 2, 7, 7, 7, 2, 2], [7, 7, 3, 7, 7, 2, 7, 2, 7, 7, 7, 2], [2, 7, 2, 2, 7, 7, 3, 7, 2, 2, 2, 7], [7, 7, 7, 7, 7, 3, 3, 3, 7, 7, 7, 7], [2, 2, 2, 7, 2, 7, 3, 2, 7, 7, 7, 2], [2, 7, 2, 7, 2, 7, 7, 7, 7, 7, 2, 7]], "task_id": "7e02026e", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 283, "input": [[7, 7, 7, 2, 2, 2, 2, 7, 2, 7, 7, 7], [7, 7, 7, 2, 7, 7, 2, 7, 7, 2, 2, 2], [2, 7, 7, 2, 7, 7, 2, 7, 2, 2, 2, 2], [2, 2, 7, 2, 7, 2, 2, 7, 7, 2, 2, 2], [7, 7, 7, 7, 7, 7, 2, 2, 7, 2, 7, 2], [2, 2, 2, 7, 2, 7, 7, 2, 7, 7, 2, 7], [2, 2, 2, 2, 2, 2, 2, 7, 7, 7, 2, 2], [7, 7, 2, 7, 7, 2, 7, 2, 7, 7, 7, 2], [2, 7, 2, 2, 7, 7, 2, 7, 2, 2, 2, 7], [7, 7, 7, 7, 7, 2, 2, 2, 7, 7, 7, 7], [2, 2, 2, 7, 2, 7, 2, 2, 7, 7, 7, 2], [2, 7, 2, 7, 2, 7, 7, 7, 7, 7, 2, 7]], "output": [[7, 7, 7, 2, 2, 2, 2, 7, 2, 7, 7, 7], [7, 7, 7, 2, 7, 7, 2, 7, 7, 3, 3, 2], [2, 7, 7, 2, 7, 7, 2, 7, 3, 3, 3, 3], [2, 2, 7, 2, 7, 2, 2, 7, 7, 3, 3, 2], [7, 7, 7, 7, 7, 7, 2, 2, 7, 2, 7, 2], [2, 2, 3, 7, 2, 7, 7, 2, 7, 7, 2, 7], [2, 3, 3, 3, 2, 2, 2, 7, 7, 7, 2, 2], [7, 7, 3, 7, 7, 2, 7, 2, 7, 7, 7, 2], [2, 7, 2, 2, 7, 7, 3, 7, 2, 2, 2, 7], [7, 7, 7, 7, 7, 3, 3, 3, 7, 7, 7, 7], [2, 2, 2, 7, 2, 7, 3, 2, 7, 7, 7, 2], [2, 7, 2, 7, 2, 7, 7, 7, 7, 7, 2, 7]], "task_id": "7e02026e", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
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General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 2 3 2 3 3 2 3 3 3 2 2 2 2 2 2 3 2 2 2 3 3 2 3 3 3 2 3 2 3 3 2 3 2 3 2 2 2 2 3 3 3 2 2 2 2 2 2 3 2 2 2 2 2 2 3 3 3 2 2 3 3 2 2 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 3 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 2 3 3 3 3 3 3 3 3 3 3 3 2 3 2 3 2 3 3 3 3 3 3 3 3 3 3 3 2 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 3 3 2 2 2 2 2 2 3 3 3 2 2 2 3 2 3 3 2 2 3 2 3 2 3 3 3 2 2 2 2 2 3 3 2 2 2 2 2 2 3 3 3 2 3 3 2 2 3 3 2 3 3 2 3 2 3 3 3 2 2 2 2 2 3 3 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 Output: 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 8 8 8 8 8 3 3 3 3 3 3 3 3 3 3 8 3 8 3 3 8 3 3 3 8 8 8 8 8 8 3 8 8 8 3 3 8 3 3 3 8 3 8 3 3 8 3 8 3 8 8 8 8 3 3 3 8 8 8 8 8 8 3 8 8 8 8 8 8 3 3 3 8 8 3 3 8 8 3 3 3 3 3 3 3 3 3 3 8 8 8 8 8 8 3 7 7 7 7 7 3 3 3 3 3 3 3 3 3 3 3 7 7 7 3 7 3 3 3 3 3 3 3 3 3 3 3 7 3 7 3 7 3 3 3 3 3 3 3 3 3 3 3 7 3 7 7 7 3 3 3 3 3 3 3 3 3 3 3 7 7 7 7 7 3 3 7 7 7 7 7 7 3 3 3 7 7 7 3 7 3 3 7 7 3 7 3 7 3 3 3 7 7 7 7 7 3 3 7 7 7 7 7 7 3 3 3 7 3 3 7 7 3 3 7 3 3 7 3 7 3 3 3 7 7 7 7 7 3 3 7 7 7 7 7 7 3 3 3 3 3 3 3 3 3 3 Example 2: Input: 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 3 3 3 2 2 2 2 2 2 3 3 3 2 2 2 3 2 3 3 3 2 3 2 3 3 2 3 3 3 2 3 2 2 2 3 3 3 2 2 2 3 3 2 3 3 3 2 2 2 3 2 3 3 3 2 2 2 2 2 2 3 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 2 2 2 2 3 3 2 3 3 2 3 3 3 3 3 3 3 2 3 3 2 3 3 2 2 2 2 3 3 3 3 3 3 3 2 2 2 2 3 3 2 3 2 2 3 3 3 3 3 3 3 2 2 2 2 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 2 2 2 2 2 3 3 2 3 2 2 2 3 2 3 3 3 2 3 2 2 2 3 3 2 3 2 3 2 2 2 3 3 3 2 2 2 3 2 3 3 2 2 2 2 2 3 2 3 3 3 2 2 2 2 2 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 Output: 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 8 8 8 8 3 3 3 9 9 9 9 9 9 3 3 3 8 8 8 3 8 3 3 3 9 3 9 3 3 9 3 3 3 8 3 8 8 8 3 3 3 9 9 9 3 3 9 3 3 3 8 8 8 3 8 3 3 3 9 9 9 9 9 9 3 3 3 8 8 8 8 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 9 9 9 9 3 3 3 3 3 3 3 4 4 4 4 3 3 9 3 3 9 3 3 3 3 3 3 3 4 3 3 4 3 3 9 9 9 9 3 3 3 3 3 3 3 4 4 4 4 3 3 9 3 9 9 3 3 3 3 3 3 3 4 4 4 4 3 3 9 9 9 9 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 7 7 7 7 7 7 3 3 3 9 9 9 9 9 3 3 7 3 7 7 7 3 7 3 3 3 9 3 9 9 9 3 3 7 3 7 3 7 7 7 3 3 3 9 9 9 3 9 3 3 7 7 7 7 7 3 7 3 3 3 9 9 9 9 9 3 3 7 7 7 7 7 7 7 3 3 3 3 3 3 3 3 3 Example 3: Input: 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 2 3 3 3 3 3 3 2 2 2 2 2 2 2 3 2 2 2 3 3 3 3 3 3 2 3 2 2 2 2 2 3 2 2 2 3 3 3 3 3 3 2 3 2 2 2 3 2 3 3 3 3 3 3 3 3 3 3 2 2 2 3 2 2 2 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 2 3 3 2 3 3 2 3 3 2 2 2 2 3 3 3 3 2 2 2 2 2 2 2 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 2 3 3 3 3 3 2 2 2 2 3 3 3 3 2 2 2 2 3 3 3 3 3 2 3 3 2 3 3 3 3 2 2 2 2 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 Output: 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 3 3 3 3 3 3 8 8 8 8 8 8 8 3 4 4 4 3 3 3 3 3 3 8 3 8 8 8 8 8 3 4 4 4 3 3 3 3 3 3 8 3 8 8 8 3 8 3 3 3 3 3 3 3 3 3 3 8 8 8 3 8 8 8 3 3 3 3 3 3 3 3 3 3 8 8 8 8 8 8 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 9 9 9 9 9 9 9 3 3 3 3 3 3 3 3 3 3 9 3 3 9 3 3 9 3 3 4 4 4 4 3 3 3 3 9 9 9 9 9 9 9 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 3 3 3 3 3 9 9 9 9 3 3 3 3 4 4 4 4 3 3 3 3 3 9 3 3 9 3 3 3 3 4 4 4 4 3 3 3 3 3 9 9 9 9 3 3 3 3 3 3 3 3 3 3 3 3 3 9 9 3 9 3 3 3 3 3 3 3 3 3 3 3 3 3 9 9 9 9 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 3 2 2 2 2 2 2 2 3 2 3 2 3 2 3 3 3 3 3 2 3 3 2 2 3 2 3 2 2 2 3 2 3 3 3 3 3 2 3 3 2 2 2 2 3 2 2 2 2 2 3 3 3 3 3 2 2 2 2 3 3 2 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 2 2 2 2 2 2 2 3 3 3 3 2 3 3 2 3 3 3 2 2 2 2 3 3 2 3 3 3 3 2 2 2 2 3 3 3 2 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 2 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 3 2 3 3 2 2 2 2 2 2 2 3 3 2 2 2 2 2 3 2 3 3 2 2 2 2 3 3 2 3 3 2 2 3 3 2 2 2 3 3 2 2 2 2 3 3 2 3 3 2 2 3 3 2 2 2 3 3 2 2 3 2 2 2 2 3 3 2 2 2 2 2 2 2 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "3 3 3 3 3 3 3 3 3 3 3 9 9 9 9 9 3 3\n3 3 3 8 8 8 8 8 8 8 3 9 3 9 3 9 3 3\n3 3 3 8 3 3 8 8 3 8 3 9 9 9 3 9 3 3\n3 3 3 8 3 3 8 8 8 8 3 9 9 9 9 9 3 3\n3 3 3 8 8 8 8 3 3 8 3 3 3 3 3 3 3 3\n3 3 3 8 8 8 8 8 8 8 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3\n3 7 7 7 7 7 7 7 3 3 3 3 4 3 3 4 3 3\n3 7 7 7 7 3 3 7 3 3 3 3 4 4 4 4 3 3\n3 7 3 3 7 7 7 7 3 3 3 3 3 3 3 3 3 3\n3 7 3 3 7 7 7 7 3 3 3 3 3 3 3 3 3 3\n3 7 7 7 7 7 3 7 3 3 9 9 9 9 9 9 9 3\n3 7 7 7 7 7 3 7 3 3 9 9 9 9 3 3 9 3\n3 7 7 3 3 7 7 7 3 3 9 9 9 9 3 3 9 3\n3 7 7 3 3 7 7 7 3 3 9 9 3 9 9 9 9 3\n3 7 7 7 7 7 7 7 3 3 9 9 9 9 9 9 9 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 3\n3 3 3 3 3 3 3 3 3 2 3 2 3 3 2 3\n3 3 2 2 2 2 2 2 3 2 2 2 3 3 2 3\n3 3 2 3 2 3 3 2 3 2 3 2 2 2 2 3\n3 3 2 2 2 2 2 2 3 2 2 2 2 2 2 3\n3 3 2 2 3 3 2 2 3 3 3 3 3 3 3 3\n3 3 2 2 2 2 2 2 3 2 2 2 2 2 3 3\n3 3 3 3 3 3 3 3 3 2 2 2 3 2 3 3\n3 3 3 3 3 3 3 3 3 2 3 2 3 2 3 3\n3 3 3 3 3 3 3 3 3 2 3 2 2 2 3 3\n3 3 3 3 3 3 3 3 3 2 2 2 2 2 3 3\n2 2 2 2 2 2 3 3 3 2 2 2 3 2 3 3\n2 2 3 2 3 2 3 3 3 2 2 2 2 2 3 3\n2 2 2 2 2 2 3 3 3 2 3 3 2 2 3 3\n2 3 3 2 3 2 3 3 3 2 2 2 2 2 3 3\n2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3\nOutput:\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 8 8 8 8 8 8 3\n3 3 3 3 3 3 3 3 3 8 3 8 3 3 8 3\n3 3 8 8 8 8 8 8 3 8 8 8 3 3 8 3\n3 3 8 3 8 3 3 8 3 8 3 8 8 8 8 3\n3 3 8 8 8 8 8 8 3 8 8 8 8 8 8 3\n3 3 8 8 3 3 8 8 3 3 3 3 3 3 3 3\n3 3 8 8 8 8 8 8 3 7 7 7 7 7 3 3\n3 3 3 3 3 3 3 3 3 7 7 7 3 7 3 3\n3 3 3 3 3 3 3 3 3 7 3 7 3 7 3 3\n3 3 3 3 3 3 3 3 3 7 3 7 7 7 3 3\n3 3 3 3 3 3 3 3 3 7 7 7 7 7 3 3\n7 7 7 7 7 7 3 3 3 7 7 7 3 7 3 3\n7 7 3 7 3 7 3 3 3 7 7 7 7 7 3 3\n7 7 7 7 7 7 3 3 3 7 3 3 7 7 3 3\n7 3 3 7 3 7 3 3 3 7 7 7 7 7 3 3\n7 7 7 7 7 7 3 3 3 3 3 3 3 3 3 3\n\nExample 2:\n\nInput:\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 2 2 2 2 2 3 3 3 2 2 2 2 2 2 3 3\n3 2 2 2 3 2 3 3 3 2 3 2 3 3 2 3 3\n3 2 3 2 2 2 3 3 3 2 2 2 3 3 2 3 3\n3 2 2 2 3 2 3 3 3 2 2 2 2 2 2 3 3\n3 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3\n3 3 2 2 2 2 3 3 2 3 3 2 3 3 3 3 3\n3 3 2 3 3 2 3 3 2 2 2 2 3 3 3 3 3\n3 3 2 2 2 2 3 3 2 3 2 2 3 3 3 3 3\n3 3 2 2 2 2 3 3 2 2 2 2 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 2 2 2 2 2 2 2 3 3 3 2 2 2 2 2 3\n3 2 3 2 2 2 3 2 3 3 3 2 3 2 2 2 3\n3 2 3 2 3 2 2 2 3 3 3 2 2 2 3 2 3\n3 2 2 2 2 2 3 2 3 3 3 2 2 2 2 2 3\n3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3\nOutput:\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 8 8 8 8 8 3 3 3 9 9 9 9 9 9 3 3\n3 8 8 8 3 8 3 3 3 9 3 9 3 3 9 3 3\n3 8 3 8 8 8 3 3 3 9 9 9 3 3 9 3 3\n3 8 8 8 3 8 3 3 3 9 9 9 9 9 9 3 3\n3 8 8 8 8 8 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 9 9 9 9 3 3 3 3 3\n3 3 4 4 4 4 3 3 9 3 3 9 3 3 3 3 3\n3 3 4 3 3 4 3 3 9 9 9 9 3 3 3 3 3\n3 3 4 4 4 4 3 3 9 3 9 9 3 3 3 3 3\n3 3 4 4 4 4 3 3 9 9 9 9 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 7 7 7 7 7 7 7 3 3 3 9 9 9 9 9 3\n3 7 3 7 7 7 3 7 3 3 3 9 3 9 9 9 3\n3 7 3 7 3 7 7 7 3 3 3 9 9 9 3 9 3\n3 7 7 7 7 7 3 7 3 3 3 9 9 9 9 9 3\n3 7 7 7 7 7 7 7 3 3 3 3 3 3 3 3 3\n\nExample 3:\n\nInput:\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 2 3\n3 3 3 3 3 2 2 2 2 2 2 2 3 2 2 2 3\n3 3 3 3 3 2 3 2 2 2 2 2 3 2 2 2 3\n3 3 3 3 3 2 3 2 2 2 3 2 3 3 3 3 3\n3 3 3 3 3 2 2 2 3 2 2 2 3 3 3 3 3\n3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3\n3 2 3 3 2 3 3 2 3 3 2 2 2 2 3 3 3\n3 2 2 2 2 2 2 2 3 3 2 2 2 2 3 3 3\n3 3 3 3 3 3 3 3 3 3 2 2 3 2 3 3 3\n3 3 2 2 2 2 3 3 3 3 2 2 2 2 3 3 3\n3 3 2 3 3 2 3 3 3 3 2 2 2 2 3 3 3\n3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3\n3 3 2 2 3 2 3 3 3 3 3 3 3 3 3 3 3\n3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\nOutput:\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 3\n3 3 3 3 3 8 8 8 8 8 8 8 3 4 4 4 3\n3 3 3 3 3 8 3 8 8 8 8 8 3 4 4 4 3\n3 3 3 3 3 8 3 8 8 8 3 8 3 3 3 3 3\n3 3 3 3 3 8 8 8 3 8 8 8 3 3 3 3 3\n3 3 3 3 3 8 8 8 8 8 8 8 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 9 9 9 9 9 9 9 3 3 3 3 3 3 3 3 3\n3 9 3 3 9 3 3 9 3 3 4 4 4 4 3 3 3\n3 9 9 9 9 9 9 9 3 3 4 4 4 4 3 3 3\n3 3 3 3 3 3 3 3 3 3 4 4 3 4 3 3 3\n3 3 9 9 9 9 3 3 3 3 4 4 4 4 3 3 3\n3 3 9 3 3 9 3 3 3 3 4 4 4 4 3 3 3\n3 3 9 9 9 9 3 3 3 3 3 3 3 3 3 3 3\n3 3 9 9 3 9 3 3 3 3 3 3 3 3 3 3 3\n3 3 9 9 9 9 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 3 3\n3 3 3 2 2 2 2 2 2 2 3 2 3 2 3 2 3 3\n3 3 3 2 3 3 2 2 3 2 3 2 2 2 3 2 3 3\n3 3 3 2 3 3 2 2 2 2 3 2 2 2 2 2 3 3\n3 3 3 2 2 2 2 3 3 2 3 3 3 3 3 3 3 3\n3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3\n3 2 2 2 2 2 2 2 3 3 3 3 2 3 3 2 3 3\n3 2 2 2 2 3 3 2 3 3 3 3 2 2 2 2 3 3\n3 2 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3\n3 2 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3\n3 2 2 2 2 2 3 2 3 3 2 2 2 2 2 2 2 3\n3 2 2 2 2 2 3 2 3 3 2 2 2 2 3 3 2 3\n3 2 2 3 3 2 2 2 3 3 2 2 2 2 3 3 2 3\n3 2 2 3 3 2 2 2 3 3 2 2 3 2 2 2 2 3\n3 2 2 2 2 2 2 2 3 3 2 2 2 2 2 2 2 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n", "answer": "3 3 3 3 3 3 3 3 3 3 3 9 9 9 9 9 3 3\n3 3 3 8 8 8 8 8 8 8 3 9 3 9 3 9 3 3\n3 3 3 8 3 3 8 8 3 8 3 9 9 9 3 9 3 3\n3 3 3 8 3 3 8 8 8 8 3 9 9 9 9 9 3 3\n3 3 3 8 8 8 8 3 3 8 3 3 3 3 3 3 3 3\n3 3 3 8 8 8 8 8 8 8 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3\n3 7 7 7 7 7 7 7 3 3 3 3 4 3 3 4 3 3\n3 7 7 7 7 3 3 7 3 3 3 3 4 4 4 4 3 3\n3 7 3 3 7 7 7 7 3 3 3 3 3 3 3 3 3 3\n3 7 3 3 7 7 7 7 3 3 3 3 3 3 3 3 3 3\n3 7 7 7 7 7 3 7 3 3 9 9 9 9 9 9 9 3\n3 7 7 7 7 7 3 7 3 3 9 9 9 9 3 3 9 3\n3 7 7 3 3 7 7 7 3 3 9 9 9 9 3 3 9 3\n3 7 7 3 3 7 7 7 3 3 9 9 3 9 9 9 9 3\n3 7 7 7 7 7 7 7 3 3 9 9 9 9 9 9 9 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3", "metadata": {"source_dataset": "arc_agi", "source_index": 284, "input": [[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 3], [3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3], [3, 3, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 3], [3, 3, 3, 2, 3, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3], [3, 3, 3, 2, 2, 2, 2, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3], [3, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 3, 2, 3, 3], [3, 2, 2, 2, 2, 3, 3, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3], [3, 2, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 2, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 2, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3], [3, 2, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 2, 2, 3, 3, 2, 3], [3, 2, 2, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 2, 3, 3, 2, 3], [3, 2, 2, 3, 3, 2, 2, 2, 3, 3, 2, 2, 3, 2, 2, 2, 2, 3], [3, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]], "output": [[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 9, 9, 9, 9, 3, 3], [3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 3, 9, 3, 9, 3, 9, 3, 3], [3, 3, 3, 8, 3, 3, 8, 8, 3, 8, 3, 9, 9, 9, 3, 9, 3, 3], [3, 3, 3, 8, 3, 3, 8, 8, 8, 8, 3, 9, 9, 9, 9, 9, 3, 3], [3, 3, 3, 8, 8, 8, 8, 3, 3, 8, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 3, 3], [3, 7, 7, 7, 7, 7, 7, 7, 3, 3, 3, 3, 4, 3, 3, 4, 3, 3], [3, 7, 7, 7, 7, 3, 3, 7, 3, 3, 3, 3, 4, 4, 4, 4, 3, 3], [3, 7, 3, 3, 7, 7, 7, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 7, 3, 3, 7, 7, 7, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 7, 7, 7, 7, 7, 3, 7, 3, 3, 9, 9, 9, 9, 9, 9, 9, 3], [3, 7, 7, 7, 7, 7, 3, 7, 3, 3, 9, 9, 9, 9, 3, 3, 9, 3], [3, 7, 7, 3, 3, 7, 7, 7, 3, 3, 9, 9, 9, 9, 3, 3, 9, 3], [3, 7, 7, 3, 3, 7, 7, 7, 3, 3, 9, 9, 3, 9, 9, 9, 9, 3], [3, 7, 7, 7, 7, 7, 7, 7, 3, 3, 9, 9, 9, 9, 9, 9, 9, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]], "task_id": "37d3e8b2", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 284, "input": [[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 3], [3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3], [3, 3, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 3], [3, 3, 3, 2, 3, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3], [3, 3, 3, 2, 2, 2, 2, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3], [3, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 3, 2, 3, 3], [3, 2, 2, 2, 2, 3, 3, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3], [3, 2, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 2, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 2, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3], [3, 2, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 2, 2, 3, 3, 2, 3], [3, 2, 2, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 2, 3, 3, 2, 3], [3, 2, 2, 3, 3, 2, 2, 2, 3, 3, 2, 2, 3, 2, 2, 2, 2, 3], [3, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]], "output": [[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 9, 9, 9, 9, 3, 3], [3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 3, 9, 3, 9, 3, 9, 3, 3], [3, 3, 3, 8, 3, 3, 8, 8, 3, 8, 3, 9, 9, 9, 3, 9, 3, 3], [3, 3, 3, 8, 3, 3, 8, 8, 8, 8, 3, 9, 9, 9, 9, 9, 3, 3], [3, 3, 3, 8, 8, 8, 8, 3, 3, 8, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 3, 3], [3, 7, 7, 7, 7, 7, 7, 7, 3, 3, 3, 3, 4, 3, 3, 4, 3, 3], [3, 7, 7, 7, 7, 3, 3, 7, 3, 3, 3, 3, 4, 4, 4, 4, 3, 3], [3, 7, 3, 3, 7, 7, 7, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 7, 3, 3, 7, 7, 7, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 7, 7, 7, 7, 7, 3, 7, 3, 3, 9, 9, 9, 9, 9, 9, 9, 3], [3, 7, 7, 7, 7, 7, 3, 7, 3, 3, 9, 9, 9, 9, 3, 3, 9, 3], [3, 7, 7, 3, 3, 7, 7, 7, 3, 3, 9, 9, 9, 9, 3, 3, 9, 3], [3, 7, 7, 3, 3, 7, 7, 7, 3, 3, 9, 9, 3, 9, 9, 9, 9, 3], [3, 7, 7, 7, 7, 7, 7, 7, 3, 3, 9, 9, 9, 9, 9, 9, 9, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]], "task_id": "37d3e8b2", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
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General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1 1 1 1 1 9 1 1 1 1 1 1 1 1 1 1 1 1 1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 9 Output: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1 1 1 1 1 9 9 9 9 9 9 9 9 9 9 9 9 9 1 5 5 5 9 5 5 5 1 5 5 5 1 5 5 5 9 1 5 1 5 9 5 9 5 1 5 9 5 1 5 9 5 9 1 5 5 5 9 5 5 5 1 5 5 5 1 5 5 5 9 1 1 1 1 9 1 1 1 1 1 1 1 1 1 1 1 9 1 5 5 5 9 5 5 5 1 5 5 5 1 5 5 5 9 1 5 1 5 9 5 9 5 1 5 9 5 1 5 9 5 9 1 5 5 5 9 5 5 5 1 5 5 5 1 5 5 5 9 1 1 1 1 9 9 9 9 9 9 9 9 9 9 9 9 9 Example 2: Input: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 8 1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 1 5 5 5 1 5 5 5 8 5 5 5 1 5 5 5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 1 5 5 5 1 5 5 5 1 5 5 5 3 5 5 5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Output: 1 1 1 1 1 1 1 1 8 8 8 8 8 8 8 8 8 1 5 5 5 1 5 5 5 8 5 5 5 1 5 5 5 8 1 5 1 5 1 5 1 5 8 5 8 5 1 5 8 5 8 1 5 5 5 1 5 5 5 8 5 5 5 1 5 5 5 8 1 1 1 1 1 1 1 1 8 8 8 8 8 8 8 8 8 1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1 3 3 3 3 3 3 3 3 3 3 3 3 3 1 1 1 1 3 5 5 5 1 5 5 5 1 5 5 5 3 5 5 5 1 3 5 3 5 1 5 3 5 1 5 3 5 3 5 1 5 1 3 5 5 5 1 5 5 5 1 5 5 5 3 5 5 5 1 3 3 3 3 3 3 3 3 3 3 3 3 3 1 1 1 1 Example 3: Input: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 7 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1 1 1 1 1 7 1 1 1 1 1 1 1 1 1 1 1 1 Output: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 5 5 0 5 5 5 1 5 5 5 1 5 5 5 0 1 5 1 5 0 5 0 5 1 5 0 5 1 5 0 5 0 1 5 5 5 0 5 5 5 1 5 5 5 1 5 5 5 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1 7 7 7 7 7 1 1 1 1 1 1 1 1 1 1 1 1 7 5 5 5 7 5 5 5 1 5 5 5 1 5 5 5 1 7 5 7 5 7 5 1 5 1 5 1 5 1 5 1 5 1 7 5 5 5 7 5 5 5 1 5 5 5 1 5 5 5 1 7 7 7 7 7 1 1 1 1 1 1 1 1 1 1 1 1 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 5 5 1 5 5 5 1 5 5 5 9 5 5 5 1 1 5 1 5 1 5 9 5 1 5 9 5 1 5 1 5 1 1 5 5 5 9 5 5 5 1 5 5 5 1 5 5 5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 5 5 2 5 5 5 1 5 5 5 1 5 5 5 1 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 1 5 5 5 1 5 5 5 1 5 5 5 2 5 5 5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "1 1 1 1 9 9 9 9 9 9 9 9 9 1 1 1 1\n1 5 5 5 9 5 5 5 1 5 5 5 9 5 5 5 1\n1 5 1 5 9 5 9 5 1 5 9 5 9 5 1 5 1\n1 5 5 5 9 5 5 5 1 5 5 5 9 5 5 5 1\n1 1 1 1 9 9 9 9 9 9 9 9 9 1 1 1 1\n1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1\n1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1\n1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1\n1 1 1 1 2 2 2 2 2 2 2 2 2 1 1 1 1\n1 5 5 5 2 5 5 5 1 5 5 5 2 5 5 5 1\n1 5 1 5 2 5 2 5 1 5 2 5 2 5 1 5 1\n1 5 5 5 2 5 5 5 1 5 5 5 2 5 5 5 1\n1 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1\n1 5 5 5 2 5 5 5 1 5 5 5 2 5 5 5 1\n1 5 1 5 2 5 2 5 1 5 2 5 2 5 1 5 1\n1 5 5 5 2 5 5 5 1 5 5 5 2 5 5 5 1\n1 1 1 1 2 2 2 2 2 2 2 2 2 1 1 1 1", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1\n1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1\n1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1\n1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1\n1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1\n1 1 1 1 9 1 1 1 1 1 1 1 1 1 1 1 1\n1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1\n1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1\n1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1\n1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1\n1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 9\nOutput:\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1\n1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1\n1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1\n1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1\n1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1\n1 1 1 1 9 9 9 9 9 9 9 9 9 9 9 9 9\n1 5 5 5 9 5 5 5 1 5 5 5 1 5 5 5 9\n1 5 1 5 9 5 9 5 1 5 9 5 1 5 9 5 9\n1 5 5 5 9 5 5 5 1 5 5 5 1 5 5 5 9\n1 1 1 1 9 1 1 1 1 1 1 1 1 1 1 1 9\n1 5 5 5 9 5 5 5 1 5 5 5 1 5 5 5 9\n1 5 1 5 9 5 9 5 1 5 9 5 1 5 9 5 9\n1 5 5 5 9 5 5 5 1 5 5 5 1 5 5 5 9\n1 1 1 1 9 9 9 9 9 9 9 9 9 9 9 9 9\n\nExample 2:\n\nInput:\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 8\n1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1\n1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1\n1 5 5 5 1 5 5 5 8 5 5 5 1 5 5 5 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1\n1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1\n1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1\n1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1\n1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1\n3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1\n1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1\n1 5 5 5 1 5 5 5 1 5 5 5 3 5 5 5 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\nOutput:\n1 1 1 1 1 1 1 1 8 8 8 8 8 8 8 8 8\n1 5 5 5 1 5 5 5 8 5 5 5 1 5 5 5 8\n1 5 1 5 1 5 1 5 8 5 8 5 1 5 8 5 8\n1 5 5 5 1 5 5 5 8 5 5 5 1 5 5 5 8\n1 1 1 1 1 1 1 1 8 8 8 8 8 8 8 8 8\n1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1\n1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1\n1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1\n1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1\n1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1\n3 3 3 3 3 3 3 3 3 3 3 3 3 1 1 1 1\n3 5 5 5 1 5 5 5 1 5 5 5 3 5 5 5 1\n3 5 3 5 1 5 3 5 1 5 3 5 3 5 1 5 1\n3 5 5 5 1 5 5 5 1 5 5 5 3 5 5 5 1\n3 3 3 3 3 3 3 3 3 3 3 3 3 1 1 1 1\n\nExample 3:\n\nInput:\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1\n1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1\n1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1\n1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1\n1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1\n1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1\n1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1\n1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1\n1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1\n1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n7 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1\n1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1\n1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1\n1 1 1 1 7 1 1 1 1 1 1 1 1 1 1 1 1\nOutput:\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1\n1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1\n1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1\n1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0\n1 5 5 5 0 5 5 5 1 5 5 5 1 5 5 5 0\n1 5 1 5 0 5 0 5 1 5 0 5 1 5 0 5 0\n1 5 5 5 0 5 5 5 1 5 5 5 1 5 5 5 0\n1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0\n1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1\n1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1\n1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1\n7 7 7 7 7 1 1 1 1 1 1 1 1 1 1 1 1\n7 5 5 5 7 5 5 5 1 5 5 5 1 5 5 5 1\n7 5 7 5 7 5 1 5 1 5 1 5 1 5 1 5 1\n7 5 5 5 7 5 5 5 1 5 5 5 1 5 5 5 1\n7 7 7 7 7 1 1 1 1 1 1 1 1 1 1 1 1\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 5 5 5 1 5 5 5 1 5 5 5 9 5 5 5 1\n1 5 1 5 1 5 9 5 1 5 9 5 1 5 1 5 1\n1 5 5 5 9 5 5 5 1 5 5 5 1 5 5 5 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1\n1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1\n1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 5 5 5 2 5 5 5 1 5 5 5 1 5 5 5 1\n1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1\n1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1\n1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1\n1 5 5 5 1 5 5 5 1 5 5 5 2 5 5 5 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n", "answer": "1 1 1 1 9 9 9 9 9 9 9 9 9 1 1 1 1\n1 5 5 5 9 5 5 5 1 5 5 5 9 5 5 5 1\n1 5 1 5 9 5 9 5 1 5 9 5 9 5 1 5 1\n1 5 5 5 9 5 5 5 1 5 5 5 9 5 5 5 1\n1 1 1 1 9 9 9 9 9 9 9 9 9 1 1 1 1\n1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1\n1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1\n1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1\n1 1 1 1 2 2 2 2 2 2 2 2 2 1 1 1 1\n1 5 5 5 2 5 5 5 1 5 5 5 2 5 5 5 1\n1 5 1 5 2 5 2 5 1 5 2 5 2 5 1 5 1\n1 5 5 5 2 5 5 5 1 5 5 5 2 5 5 5 1\n1 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1\n1 5 5 5 2 5 5 5 1 5 5 5 2 5 5 5 1\n1 5 1 5 2 5 2 5 1 5 2 5 2 5 1 5 1\n1 5 5 5 2 5 5 5 1 5 5 5 2 5 5 5 1\n1 1 1 1 2 2 2 2 2 2 2 2 2 1 1 1 1", "metadata": {"source_dataset": "arc_agi", "source_index": 285, "input": [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 5, 5, 5, 1, 5, 5, 5, 1, 5, 5, 5, 9, 5, 5, 5, 1], [1, 5, 1, 5, 1, 5, 9, 5, 1, 5, 9, 5, 1, 5, 1, 5, 1], [1, 5, 5, 5, 9, 5, 5, 5, 1, 5, 5, 5, 1, 5, 5, 5, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 5, 5, 5, 1, 5, 5, 5, 1, 5, 5, 5, 1, 5, 5, 5, 1], [1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1], [1, 5, 5, 5, 1, 5, 5, 5, 1, 5, 5, 5, 1, 5, 5, 5, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 5, 5, 5, 2, 5, 5, 5, 1, 5, 5, 5, 1, 5, 5, 5, 1], [1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1], [1, 5, 5, 5, 1, 5, 5, 5, 1, 5, 5, 5, 1, 5, 5, 5, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 5, 5, 5, 1, 5, 5, 5, 1, 5, 5, 5, 1, 5, 5, 5, 1], [1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1], [1, 5, 5, 5, 1, 5, 5, 5, 1, 5, 5, 5, 2, 5, 5, 5, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]], "output": [[1, 1, 1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1, 1, 1, 1], [1, 5, 5, 5, 9, 5, 5, 5, 1, 5, 5, 5, 9, 5, 5, 5, 1], [1, 5, 1, 5, 9, 5, 9, 5, 1, 5, 9, 5, 9, 5, 1, 5, 1], [1, 5, 5, 5, 9, 5, 5, 5, 1, 5, 5, 5, 9, 5, 5, 5, 1], [1, 1, 1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1, 1, 1, 1], [1, 5, 5, 5, 1, 5, 5, 5, 1, 5, 5, 5, 1, 5, 5, 5, 1], [1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1], [1, 5, 5, 5, 1, 5, 5, 5, 1, 5, 5, 5, 1, 5, 5, 5, 1], [1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1], [1, 5, 5, 5, 2, 5, 5, 5, 1, 5, 5, 5, 2, 5, 5, 5, 1], [1, 5, 1, 5, 2, 5, 2, 5, 1, 5, 2, 5, 2, 5, 1, 5, 1], [1, 5, 5, 5, 2, 5, 5, 5, 1, 5, 5, 5, 2, 5, 5, 5, 1], [1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1], [1, 5, 5, 5, 2, 5, 5, 5, 1, 5, 5, 5, 2, 5, 5, 5, 1], [1, 5, 1, 5, 2, 5, 2, 5, 1, 5, 2, 5, 2, 5, 1, 5, 1], [1, 5, 5, 5, 2, 5, 5, 5, 1, 5, 5, 5, 2, 5, 5, 5, 1], [1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1]], "task_id": "97239e3d", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 285, "input": [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 5, 5, 5, 1, 5, 5, 5, 1, 5, 5, 5, 9, 5, 5, 5, 1], [1, 5, 1, 5, 1, 5, 9, 5, 1, 5, 9, 5, 1, 5, 1, 5, 1], [1, 5, 5, 5, 9, 5, 5, 5, 1, 5, 5, 5, 1, 5, 5, 5, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 5, 5, 5, 1, 5, 5, 5, 1, 5, 5, 5, 1, 5, 5, 5, 1], [1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1], [1, 5, 5, 5, 1, 5, 5, 5, 1, 5, 5, 5, 1, 5, 5, 5, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 5, 5, 5, 2, 5, 5, 5, 1, 5, 5, 5, 1, 5, 5, 5, 1], [1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1], [1, 5, 5, 5, 1, 5, 5, 5, 1, 5, 5, 5, 1, 5, 5, 5, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 5, 5, 5, 1, 5, 5, 5, 1, 5, 5, 5, 1, 5, 5, 5, 1], [1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1], [1, 5, 5, 5, 1, 5, 5, 5, 1, 5, 5, 5, 2, 5, 5, 5, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]], "output": [[1, 1, 1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1, 1, 1, 1], [1, 5, 5, 5, 9, 5, 5, 5, 1, 5, 5, 5, 9, 5, 5, 5, 1], [1, 5, 1, 5, 9, 5, 9, 5, 1, 5, 9, 5, 9, 5, 1, 5, 1], [1, 5, 5, 5, 9, 5, 5, 5, 1, 5, 5, 5, 9, 5, 5, 5, 1], [1, 1, 1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1, 1, 1, 1], [1, 5, 5, 5, 1, 5, 5, 5, 1, 5, 5, 5, 1, 5, 5, 5, 1], [1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1], [1, 5, 5, 5, 1, 5, 5, 5, 1, 5, 5, 5, 1, 5, 5, 5, 1], [1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1], [1, 5, 5, 5, 2, 5, 5, 5, 1, 5, 5, 5, 2, 5, 5, 5, 1], [1, 5, 1, 5, 2, 5, 2, 5, 1, 5, 2, 5, 2, 5, 1, 5, 1], [1, 5, 5, 5, 2, 5, 5, 5, 1, 5, 5, 5, 2, 5, 5, 5, 1], [1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1], [1, 5, 5, 5, 2, 5, 5, 5, 1, 5, 5, 5, 2, 5, 5, 5, 1], [1, 5, 1, 5, 2, 5, 2, 5, 1, 5, 2, 5, 2, 5, 1, 5, 1], [1, 5, 5, 5, 2, 5, 5, 5, 1, 5, 5, 5, 2, 5, 5, 5, 1], [1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1]], "task_id": "97239e3d", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
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General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 8 3 2 4 2 4 8 3 8 3 2 4 2 4 8 3 8 3 2 4 2 4 8 3 8 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 8 4 8 4 2 3 2 3 8 4 8 4 2 3 2 3 8 4 8 4 2 3 2 3 8 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 2 3 8 4 8 4 2 3 2 3 8 4 8 4 2 3 2 3 8 4 8 4 2 3 2 3 8 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 8 3 2 4 2 4 8 3 8 3 2 4 2 4 8 3 8 3 2 4 2 4 8 3 8 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 3 2 4 2 4 8 3 8 3 2 4 2 4 8 3 8 5 5 5 2 4 8 3 8 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 3 3 3 3 3 3 3 2 3 8 4 8 4 2 3 2 3 8 4 8 4 2 3 2 5 5 5 8 4 2 3 2 3 8 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 5 5 5 4 3 4 3 4 3 4 2 3 8 4 8 4 2 3 2 3 8 4 8 4 2 3 2 3 8 4 8 4 2 3 2 3 8 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 8 3 2 4 2 4 8 5 5 5 5 4 2 4 8 3 8 3 2 4 2 4 8 3 8 3 2 3 3 3 3 3 3 3 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 3 2 4 2 4 8 5 5 5 5 4 2 4 8 3 8 3 2 4 2 4 8 3 8 3 2 3 3 3 3 3 3 3 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 8 4 8 4 2 3 2 3 8 4 8 4 2 3 2 3 8 4 8 4 2 3 2 3 8 5 5 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 5 5 5 4 3 4 5 5 8 4 8 4 2 3 2 3 8 4 8 4 2 3 2 3 8 4 8 5 5 5 2 3 8 5 5 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 5 5 5 4 3 4 5 5 2 4 2 4 8 3 8 3 5 5 2 4 8 3 8 3 2 4 2 5 5 5 8 3 2 5 5 3 3 3 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 5 5 5 3 3 3 8 3 2 4 2 4 8 3 8 3 2 4 2 4 8 3 8 3 2 4 2 5 5 5 8 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 8 4 8 4 2 3 2 3 8 4 8 4 2 3 2 3 8 4 8 4 2 3 2 3 8 Output: 8 3 2 4 2 4 8 3 8 3 2 4 2 4 8 3 8 3 2 4 2 4 8 3 8 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 8 4 8 4 2 3 2 3 8 4 8 4 2 3 2 3 8 4 8 4 2 3 2 3 8 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 2 3 8 4 8 4 2 3 2 3 8 4 8 4 2 3 2 3 8 4 8 4 2 3 2 3 8 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 8 3 2 4 2 4 8 3 8 3 2 4 2 4 8 3 8 3 2 4 2 4 8 3 8 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 3 2 4 2 4 8 3 8 3 2 4 2 4 8 3 8 3 2 4 2 4 8 3 8 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 8 4 8 4 2 3 2 3 8 4 8 4 2 3 2 3 8 4 8 4 2 3 2 3 8 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 2 3 8 4 8 4 2 3 2 3 8 4 8 4 2 3 2 3 8 4 8 4 2 3 2 3 8 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 8 3 2 4 2 4 8 3 8 3 2 4 2 4 8 3 8 3 2 4 2 4 8 3 8 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 3 2 4 2 4 8 3 8 3 2 4 2 4 8 3 8 3 2 4 2 4 8 3 8 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 8 4 8 4 2 3 2 3 8 4 8 4 2 3 2 3 8 4 8 4 2 3 2 3 8 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 2 3 8 4 8 4 2 3 2 3 8 4 8 4 2 3 2 3 8 4 8 4 2 3 2 3 8 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 8 3 2 4 2 4 8 3 8 3 2 4 2 4 8 3 8 3 2 4 2 4 8 3 8 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 3 2 4 2 4 8 3 8 3 2 4 2 4 8 3 8 3 2 4 2 4 8 3 8 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 8 4 8 4 2 3 2 3 8 4 8 4 2 3 2 3 8 4 8 4 2 3 2 3 8 Example 2: Input: 4 3 8 5 5 5 5 5 5 3 8 4 3 8 4 3 4 3 8 4 3 8 4 3 4 3 8 3 4 8 5 5 5 5 5 5 4 8 3 3 4 8 3 3 5 5 5 5 5 8 3 3 4 8 8 8 8 5 5 5 5 5 5 8 8 8 3 3 3 3 8 5 5 5 5 5 3 3 8 8 8 4 3 8 5 5 5 5 5 5 3 8 4 3 8 4 3 4 3 8 4 3 8 4 3 4 3 8 3 3 3 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 4 3 8 3 8 4 3 8 4 3 8 3 8 4 3 8 4 3 8 3 8 4 3 8 4 3 4 8 3 4 3 4 8 3 4 8 3 4 3 4 8 3 4 8 3 4 3 4 8 3 4 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 8 4 3 8 4 3 4 3 8 4 3 8 4 3 4 3 8 4 3 8 4 3 4 3 8 3 4 8 3 3 4 8 3 3 4 8 3 3 4 8 3 3 4 8 3 3 4 8 3 3 4 8 8 8 8 8 3 3 3 3 8 8 8 8 3 3 3 3 8 8 8 5 5 5 5 5 8 8 8 4 3 8 4 3 8 4 3 4 3 8 4 3 8 4 3 4 3 8 5 5 5 5 5 4 3 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 3 3 3 8 4 3 8 3 8 4 3 8 4 3 8 3 8 4 3 8 4 3 5 5 5 5 5 8 4 3 4 8 3 4 3 4 8 3 4 8 3 4 3 4 8 3 4 8 3 5 5 5 5 5 4 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 3 3 3 4 3 8 4 3 8 4 3 4 3 8 4 3 8 4 3 4 3 8 4 3 8 4 3 4 3 8 3 4 8 3 3 4 8 3 3 4 8 3 3 4 8 3 3 4 8 3 3 4 8 3 3 4 8 8 8 8 8 3 3 3 3 8 8 8 8 3 3 3 3 8 8 8 8 3 3 3 3 8 8 8 5 5 5 4 3 8 4 3 4 3 8 4 3 8 4 3 4 3 8 4 3 8 4 3 4 3 8 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 8 3 8 4 3 8 4 3 8 3 8 4 3 8 4 3 8 3 8 4 3 8 4 3 4 8 3 4 3 4 8 3 4 8 3 4 3 4 8 3 4 8 3 4 3 4 8 3 4 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 8 4 3 8 4 3 4 3 8 4 3 8 4 3 4 3 8 4 3 8 4 3 4 3 8 3 4 8 3 3 4 8 3 3 4 8 3 3 4 8 3 3 4 8 3 3 4 8 3 3 4 8 8 8 8 8 3 3 3 3 8 8 8 8 3 3 3 3 8 8 8 8 3 3 3 3 8 8 8 Output: 4 3 8 4 3 8 4 3 4 3 8 4 3 8 4 3 4 3 8 4 3 8 4 3 4 3 8 3 4 8 3 3 4 8 3 3 4 8 3 3 4 8 3 3 4 8 3 3 4 8 3 3 4 8 8 8 8 8 3 3 3 3 8 8 8 8 3 3 3 3 8 8 8 8 3 3 3 3 8 8 8 4 3 8 4 3 8 4 3 4 3 8 4 3 8 4 3 4 3 8 4 3 8 4 3 4 3 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 4 3 8 3 8 4 3 8 4 3 8 3 8 4 3 8 4 3 8 3 8 4 3 8 4 3 4 8 3 4 3 4 8 3 4 8 3 4 3 4 8 3 4 8 3 4 3 4 8 3 4 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 8 4 3 8 4 3 4 3 8 4 3 8 4 3 4 3 8 4 3 8 4 3 4 3 8 3 4 8 3 3 4 8 3 3 4 8 3 3 4 8 3 3 4 8 3 3 4 8 3 3 4 8 8 8 8 8 3 3 3 3 8 8 8 8 3 3 3 3 8 8 8 8 3 3 3 3 8 8 8 4 3 8 4 3 8 4 3 4 3 8 4 3 8 4 3 4 3 8 4 3 8 4 3 4 3 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 4 3 8 3 8 4 3 8 4 3 8 3 8 4 3 8 4 3 8 3 8 4 3 8 4 3 4 8 3 4 3 4 8 3 4 8 3 4 3 4 8 3 4 8 3 4 3 4 8 3 4 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 8 4 3 8 4 3 4 3 8 4 3 8 4 3 4 3 8 4 3 8 4 3 4 3 8 3 4 8 3 3 4 8 3 3 4 8 3 3 4 8 3 3 4 8 3 3 4 8 3 3 4 8 8 8 8 8 3 3 3 3 8 8 8 8 3 3 3 3 8 8 8 8 3 3 3 3 8 8 8 4 3 8 4 3 8 4 3 4 3 8 4 3 8 4 3 4 3 8 4 3 8 4 3 4 3 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 4 3 8 3 8 4 3 8 4 3 8 3 8 4 3 8 4 3 8 3 8 4 3 8 4 3 4 8 3 4 3 4 8 3 4 8 3 4 3 4 8 3 4 8 3 4 3 4 8 3 4 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 8 4 3 8 4 3 4 3 8 4 3 8 4 3 4 3 8 4 3 8 4 3 4 3 8 3 4 8 3 3 4 8 3 3 4 8 3 3 4 8 3 3 4 8 3 3 4 8 3 3 4 8 8 8 8 8 3 3 3 3 8 8 8 8 3 3 3 3 8 8 8 8 3 3 3 3 8 8 8 Example 3: Input: 8 2 7 3 8 2 7 3 8 2 7 3 8 2 7 3 8 2 7 3 8 2 7 3 8 2 7 2 0 4 7 7 8 6 3 5 5 5 5 5 5 6 3 2 0 4 7 7 8 6 3 2 0 4 7 4 0 2 4 0 2 3 5 5 5 5 5 5 2 3 7 4 0 2 4 0 2 3 7 4 0 3 7 2 8 0 6 4 3 5 5 5 5 5 5 4 3 3 7 2 8 0 6 4 3 3 7 2 8 7 4 0 4 0 2 3 5 5 5 5 5 5 2 3 8 7 4 0 4 0 2 3 8 7 4 2 8 0 6 0 6 4 3 2 8 0 6 0 6 4 3 2 8 0 6 0 6 4 3 2 8 0 7 6 2 4 2 4 8 3 7 5 5 5 5 4 8 3 7 6 2 4 2 4 8 3 7 6 2 3 3 3 3 3 3 3 3 3 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 2 7 3 8 2 7 3 8 2 7 3 8 2 7 3 8 2 7 3 8 2 7 3 8 2 7 2 0 4 7 7 8 6 3 2 0 4 7 7 8 6 3 2 0 4 7 7 8 6 3 2 0 4 7 4 0 2 4 0 2 3 7 4 0 2 4 0 2 3 7 4 0 2 4 0 2 3 7 4 0 3 7 2 8 0 6 4 3 3 7 2 8 0 6 4 3 3 7 2 8 0 6 4 3 3 7 2 8 7 4 0 4 0 2 3 8 7 4 0 4 0 2 3 8 7 4 0 4 0 2 3 8 7 4 2 8 0 6 0 6 4 3 2 8 0 6 0 6 4 3 2 8 0 6 0 5 5 5 5 8 0 7 6 2 4 2 4 8 3 7 6 2 4 2 4 8 3 7 6 2 4 2 5 5 5 5 6 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 3 3 8 2 5 5 8 2 7 3 8 2 7 3 8 2 7 3 8 2 7 3 8 5 5 5 5 2 7 2 0 5 5 7 8 6 3 2 0 4 7 7 8 6 3 2 0 4 7 7 5 5 5 5 0 4 7 4 5 5 4 0 2 3 7 4 0 2 4 0 2 3 7 4 0 2 4 0 2 3 7 4 0 3 7 5 5 0 6 4 3 3 7 2 8 0 6 4 3 3 7 2 8 0 6 4 3 3 7 2 8 7 4 0 4 0 2 3 8 7 4 0 4 0 2 3 8 7 4 0 4 0 2 3 8 7 4 2 8 0 6 0 6 4 3 2 8 0 6 0 6 4 3 2 8 0 5 5 5 5 5 5 8 0 7 6 2 4 2 4 8 3 7 6 2 4 2 4 8 3 7 6 2 5 5 5 5 5 5 6 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 3 3 8 2 7 3 8 2 7 3 8 2 7 3 8 2 7 3 8 2 7 5 5 5 5 5 5 2 7 2 0 4 7 7 8 6 3 2 0 4 7 7 8 6 3 2 0 4 7 7 8 6 3 2 0 4 7 4 0 2 4 0 2 3 7 4 0 2 4 0 2 3 7 4 0 2 4 0 2 3 7 4 0 Output: 8 2 7 3 8 2 7 3 8 2 7 3 8 2 7 3 8 2 7 3 8 2 7 3 8 2 7 2 0 4 7 7 8 6 3 2 0 4 7 7 8 6 3 2 0 4 7 7 8 6 3 2 0 4 7 4 0 2 4 0 2 3 7 4 0 2 4 0 2 3 7 4 0 2 4 0 2 3 7 4 0 3 7 2 8 0 6 4 3 3 7 2 8 0 6 4 3 3 7 2 8 0 6 4 3 3 7 2 8 7 4 0 4 0 2 3 8 7 4 0 4 0 2 3 8 7 4 0 4 0 2 3 8 7 4 2 8 0 6 0 6 4 3 2 8 0 6 0 6 4 3 2 8 0 6 0 6 4 3 2 8 0 7 6 2 4 2 4 8 3 7 6 2 4 2 4 8 3 7 6 2 4 2 4 8 3 7 6 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 2 7 3 8 2 7 3 8 2 7 3 8 2 7 3 8 2 7 3 8 2 7 3 8 2 7 2 0 4 7 7 8 6 3 2 0 4 7 7 8 6 3 2 0 4 7 7 8 6 3 2 0 4 7 4 0 2 4 0 2 3 7 4 0 2 4 0 2 3 7 4 0 2 4 0 2 3 7 4 0 3 7 2 8 0 6 4 3 3 7 2 8 0 6 4 3 3 7 2 8 0 6 4 3 3 7 2 8 7 4 0 4 0 2 3 8 7 4 0 4 0 2 3 8 7 4 0 4 0 2 3 8 7 4 2 8 0 6 0 6 4 3 2 8 0 6 0 6 4 3 2 8 0 6 0 6 4 3 2 8 0 7 6 2 4 2 4 8 3 7 6 2 4 2 4 8 3 7 6 2 4 2 4 8 3 7 6 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 2 7 3 8 2 7 3 8 2 7 3 8 2 7 3 8 2 7 3 8 2 7 3 8 2 7 2 0 4 7 7 8 6 3 2 0 4 7 7 8 6 3 2 0 4 7 7 8 6 3 2 0 4 7 4 0 2 4 0 2 3 7 4 0 2 4 0 2 3 7 4 0 2 4 0 2 3 7 4 0 3 7 2 8 0 6 4 3 3 7 2 8 0 6 4 3 3 7 2 8 0 6 4 3 3 7 2 8 7 4 0 4 0 2 3 8 7 4 0 4 0 2 3 8 7 4 0 4 0 2 3 8 7 4 2 8 0 6 0 6 4 3 2 8 0 6 0 6 4 3 2 8 0 6 0 6 4 3 2 8 0 7 6 2 4 2 4 8 3 7 6 2 4 2 4 8 3 7 6 2 4 2 4 8 3 7 6 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 2 7 3 8 2 7 3 8 2 7 3 8 2 7 3 8 2 7 3 8 2 7 3 8 2 7 2 0 4 7 7 8 6 3 2 0 4 7 7 8 6 3 2 0 4 7 7 8 6 3 2 0 4 7 4 0 2 4 0 2 3 7 4 0 2 4 0 2 3 7 4 0 2 4 0 2 3 7 4 0 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 4 7 8 6 7 8 6 3 4 7 8 6 7 8 6 3 4 7 8 6 7 8 6 3 4 7 8 7 4 0 2 2 9 1 3 7 4 0 2 2 9 1 3 7 4 0 2 2 9 1 3 7 4 0 8 0 1 8 3 7 2 3 8 0 1 8 3 7 2 3 8 0 1 8 3 7 2 3 8 0 1 6 2 8 9 7 5 5 5 5 2 8 9 7 1 4 3 6 2 8 9 7 1 4 3 6 2 8 7 2 3 7 3 5 5 5 5 2 3 7 3 7 2 3 7 2 3 7 3 7 2 3 7 2 3 8 9 7 1 7 5 5 5 5 9 7 1 7 1 4 3 8 9 7 1 7 1 4 3 8 9 7 6 5 5 5 5 5 5 5 5 1 2 4 2 4 8 3 6 1 2 4 2 4 8 3 6 1 2 3 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 4 5 5 5 5 5 6 3 4 7 8 6 7 8 6 3 4 7 8 6 7 8 6 3 5 5 8 7 5 5 5 5 5 1 3 7 4 0 2 2 9 1 3 7 4 0 2 2 9 1 3 5 5 0 8 5 5 5 5 5 2 3 8 0 1 8 3 7 2 3 8 0 1 8 3 7 2 3 5 5 1 6 5 5 5 5 5 4 3 6 2 8 9 7 5 5 5 5 5 5 9 7 1 4 3 6 2 8 7 2 3 7 3 7 2 3 7 2 3 7 3 5 5 5 5 5 5 7 3 7 2 3 7 2 3 8 9 7 1 7 1 4 3 8 9 7 1 7 1 4 3 8 9 7 1 7 1 4 3 8 9 7 6 1 2 4 2 4 8 3 6 1 2 4 2 4 8 3 6 1 2 4 2 4 8 3 6 1 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 7 8 6 7 8 6 3 4 7 8 6 7 8 6 3 4 7 8 6 7 8 6 3 4 7 8 7 4 0 2 2 9 1 3 7 4 0 2 2 9 1 3 7 4 0 2 2 9 1 3 7 4 0 8 0 1 8 3 7 2 3 8 0 1 8 3 7 2 3 8 0 1 8 3 7 2 3 8 0 1 6 2 8 9 7 1 4 3 6 2 8 9 7 1 4 3 6 2 8 9 7 1 5 5 5 5 8 7 2 3 7 3 7 2 3 7 2 3 7 3 7 2 3 7 2 3 7 3 7 5 5 5 5 3 8 9 7 1 7 1 4 3 8 9 7 1 7 1 4 3 8 9 7 1 7 1 5 5 5 5 7 6 1 2 4 2 4 8 3 6 1 2 4 2 4 8 3 6 1 2 4 2 4 5 5 5 5 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 7 8 6 7 8 6 3 4 7 8 6 7 8 6 3 4 7 8 6 7 8 6 3 4 7 8 7 4 0 2 2 9 1 3 7 4 0 2 2 9 1 3 7 4 0 2 2 9 1 3 7 4 0 8 0 1 8 3 7 2 3 8 0 1 8 3 7 2 3 8 0 1 8 3 7 2 3 8 0 1
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "4 7 8 6 7 8 6 3 4 7 8 6 7 8 6 3 4 7 8 6 7 8 6 3 4 7 8\n7 4 0 2 2 9 1 3 7 4 0 2 2 9 1 3 7 4 0 2 2 9 1 3 7 4 0\n8 0 1 8 3 7 2 3 8 0 1 8 3 7 2 3 8 0 1 8 3 7 2 3 8 0 1\n6 2 8 9 7 1 4 3 6 2 8 9 7 1 4 3 6 2 8 9 7 1 4 3 6 2 8\n7 2 3 7 3 7 2 3 7 2 3 7 3 7 2 3 7 2 3 7 3 7 2 3 7 2 3\n8 9 7 1 7 1 4 3 8 9 7 1 7 1 4 3 8 9 7 1 7 1 4 3 8 9 7\n6 1 2 4 2 4 8 3 6 1 2 4 2 4 8 3 6 1 2 4 2 4 8 3 6 1 2\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n4 7 8 6 7 8 6 3 4 7 8 6 7 8 6 3 4 7 8 6 7 8 6 3 4 7 8\n7 4 0 2 2 9 1 3 7 4 0 2 2 9 1 3 7 4 0 2 2 9 1 3 7 4 0\n8 0 1 8 3 7 2 3 8 0 1 8 3 7 2 3 8 0 1 8 3 7 2 3 8 0 1\n6 2 8 9 7 1 4 3 6 2 8 9 7 1 4 3 6 2 8 9 7 1 4 3 6 2 8\n7 2 3 7 3 7 2 3 7 2 3 7 3 7 2 3 7 2 3 7 3 7 2 3 7 2 3\n8 9 7 1 7 1 4 3 8 9 7 1 7 1 4 3 8 9 7 1 7 1 4 3 8 9 7\n6 1 2 4 2 4 8 3 6 1 2 4 2 4 8 3 6 1 2 4 2 4 8 3 6 1 2\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n4 7 8 6 7 8 6 3 4 7 8 6 7 8 6 3 4 7 8 6 7 8 6 3 4 7 8\n7 4 0 2 2 9 1 3 7 4 0 2 2 9 1 3 7 4 0 2 2 9 1 3 7 4 0\n8 0 1 8 3 7 2 3 8 0 1 8 3 7 2 3 8 0 1 8 3 7 2 3 8 0 1\n6 2 8 9 7 1 4 3 6 2 8 9 7 1 4 3 6 2 8 9 7 1 4 3 6 2 8\n7 2 3 7 3 7 2 3 7 2 3 7 3 7 2 3 7 2 3 7 3 7 2 3 7 2 3\n8 9 7 1 7 1 4 3 8 9 7 1 7 1 4 3 8 9 7 1 7 1 4 3 8 9 7\n6 1 2 4 2 4 8 3 6 1 2 4 2 4 8 3 6 1 2 4 2 4 8 3 6 1 2\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n4 7 8 6 7 8 6 3 4 7 8 6 7 8 6 3 4 7 8 6 7 8 6 3 4 7 8\n7 4 0 2 2 9 1 3 7 4 0 2 2 9 1 3 7 4 0 2 2 9 1 3 7 4 0\n8 0 1 8 3 7 2 3 8 0 1 8 3 7 2 3 8 0 1 8 3 7 2 3 8 0 1", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n8 3 2 4 2 4 8 3 8 3 2 4 2 4 8 3 8 3 2 4 2 4 8 3 8 3 2\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n2 3 8 4 8 4 2 3 2 3 8 4 8 4 2 3 2 3 8 4 8 4 2 3 2 3 8\n4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4\n2 3 8 4 8 4 2 3 2 3 8 4 8 4 2 3 2 3 8 4 8 4 2 3 2 3 8\n4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4\n8 3 2 4 2 4 8 3 8 3 2 4 2 4 8 3 8 3 2 4 2 4 8 3 8 3 2\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n8 3 2 4 2 4 8 3 8 3 2 4 2 4 8 3 8 5 5 5 2 4 8 3 8 3 2\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 3 3 3 3 3 3 3\n2 3 8 4 8 4 2 3 2 3 8 4 8 4 2 3 2 5 5 5 8 4 2 3 2 3 8\n4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 5 5 5 4 3 4 3 4 3 4\n2 3 8 4 8 4 2 3 2 3 8 4 8 4 2 3 2 3 8 4 8 4 2 3 2 3 8\n4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4\n8 3 2 4 2 4 8 5 5 5 5 4 2 4 8 3 8 3 2 4 2 4 8 3 8 3 2\n3 3 3 3 3 3 3 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n8 3 2 4 2 4 8 5 5 5 5 4 2 4 8 3 8 3 2 4 2 4 8 3 8 3 2\n3 3 3 3 3 3 3 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n2 3 8 4 8 4 2 3 2 3 8 4 8 4 2 3 2 3 8 4 8 4 2 3 2 3 8\n5 5 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 5 5 5 4 3 4\n5 5 8 4 8 4 2 3 2 3 8 4 8 4 2 3 2 3 8 4 8 5 5 5 2 3 8\n5 5 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 5 5 5 4 3 4\n5 5 2 4 2 4 8 3 8 3 5 5 2 4 8 3 8 3 2 4 2 5 5 5 8 3 2\n5 5 3 3 3 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 5 5 5 3 3 3\n8 3 2 4 2 4 8 3 8 3 2 4 2 4 8 3 8 3 2 4 2 5 5 5 8 3 2\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n2 3 8 4 8 4 2 3 2 3 8 4 8 4 2 3 2 3 8 4 8 4 2 3 2 3 8\nOutput:\n8 3 2 4 2 4 8 3 8 3 2 4 2 4 8 3 8 3 2 4 2 4 8 3 8 3 2\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n2 3 8 4 8 4 2 3 2 3 8 4 8 4 2 3 2 3 8 4 8 4 2 3 2 3 8\n4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4\n2 3 8 4 8 4 2 3 2 3 8 4 8 4 2 3 2 3 8 4 8 4 2 3 2 3 8\n4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4\n8 3 2 4 2 4 8 3 8 3 2 4 2 4 8 3 8 3 2 4 2 4 8 3 8 3 2\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n8 3 2 4 2 4 8 3 8 3 2 4 2 4 8 3 8 3 2 4 2 4 8 3 8 3 2\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n2 3 8 4 8 4 2 3 2 3 8 4 8 4 2 3 2 3 8 4 8 4 2 3 2 3 8\n4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4\n2 3 8 4 8 4 2 3 2 3 8 4 8 4 2 3 2 3 8 4 8 4 2 3 2 3 8\n4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4\n8 3 2 4 2 4 8 3 8 3 2 4 2 4 8 3 8 3 2 4 2 4 8 3 8 3 2\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n8 3 2 4 2 4 8 3 8 3 2 4 2 4 8 3 8 3 2 4 2 4 8 3 8 3 2\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n2 3 8 4 8 4 2 3 2 3 8 4 8 4 2 3 2 3 8 4 8 4 2 3 2 3 8\n4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4\n2 3 8 4 8 4 2 3 2 3 8 4 8 4 2 3 2 3 8 4 8 4 2 3 2 3 8\n4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4\n8 3 2 4 2 4 8 3 8 3 2 4 2 4 8 3 8 3 2 4 2 4 8 3 8 3 2\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n8 3 2 4 2 4 8 3 8 3 2 4 2 4 8 3 8 3 2 4 2 4 8 3 8 3 2\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n2 3 8 4 8 4 2 3 2 3 8 4 8 4 2 3 2 3 8 4 8 4 2 3 2 3 8\n\nExample 2:\n\nInput:\n4 3 8 5 5 5 5 5 5 3 8 4 3 8 4 3 4 3 8 4 3 8 4 3 4 3 8\n3 4 8 5 5 5 5 5 5 4 8 3 3 4 8 3 3 5 5 5 5 5 8 3 3 4 8\n8 8 8 5 5 5 5 5 5 8 8 8 3 3 3 3 8 5 5 5 5 5 3 3 8 8 8\n4 3 8 5 5 5 5 5 5 3 8 4 3 8 4 3 4 3 8 4 3 8 4 3 4 3 8\n3 3 3 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n8 4 3 8 3 8 4 3 8 4 3 8 3 8 4 3 8 4 3 8 3 8 4 3 8 4 3\n4 8 3 4 3 4 8 3 4 8 3 4 3 4 8 3 4 8 3 4 3 4 8 3 4 8 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n4 3 8 4 3 8 4 3 4 3 8 4 3 8 4 3 4 3 8 4 3 8 4 3 4 3 8\n3 4 8 3 3 4 8 3 3 4 8 3 3 4 8 3 3 4 8 3 3 4 8 3 3 4 8\n8 8 8 8 3 3 3 3 8 8 8 8 3 3 3 3 8 8 8 5 5 5 5 5 8 8 8\n4 3 8 4 3 8 4 3 4 3 8 4 3 8 4 3 4 3 8 5 5 5 5 5 4 3 8\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 3 3 3\n8 4 3 8 3 8 4 3 8 4 3 8 3 8 4 3 8 4 3 5 5 5 5 5 8 4 3\n4 8 3 4 3 4 8 3 4 8 3 4 3 4 8 3 4 8 3 5 5 5 5 5 4 8 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 3 3 3\n4 3 8 4 3 8 4 3 4 3 8 4 3 8 4 3 4 3 8 4 3 8 4 3 4 3 8\n3 4 8 3 3 4 8 3 3 4 8 3 3 4 8 3 3 4 8 3 3 4 8 3 3 4 8\n8 8 8 8 3 3 3 3 8 8 8 8 3 3 3 3 8 8 8 8 3 3 3 3 8 8 8\n5 5 5 4 3 8 4 3 4 3 8 4 3 8 4 3 4 3 8 4 3 8 4 3 4 3 8\n5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n5 5 5 8 3 8 4 3 8 4 3 8 3 8 4 3 8 4 3 8 3 8 4 3 8 4 3\n4 8 3 4 3 4 8 3 4 8 3 4 3 4 8 3 4 8 3 4 3 4 8 3 4 8 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n4 3 8 4 3 8 4 3 4 3 8 4 3 8 4 3 4 3 8 4 3 8 4 3 4 3 8\n3 4 8 3 3 4 8 3 3 4 8 3 3 4 8 3 3 4 8 3 3 4 8 3 3 4 8\n8 8 8 8 3 3 3 3 8 8 8 8 3 3 3 3 8 8 8 8 3 3 3 3 8 8 8\nOutput:\n4 3 8 4 3 8 4 3 4 3 8 4 3 8 4 3 4 3 8 4 3 8 4 3 4 3 8\n3 4 8 3 3 4 8 3 3 4 8 3 3 4 8 3 3 4 8 3 3 4 8 3 3 4 8\n8 8 8 8 3 3 3 3 8 8 8 8 3 3 3 3 8 8 8 8 3 3 3 3 8 8 8\n4 3 8 4 3 8 4 3 4 3 8 4 3 8 4 3 4 3 8 4 3 8 4 3 4 3 8\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n8 4 3 8 3 8 4 3 8 4 3 8 3 8 4 3 8 4 3 8 3 8 4 3 8 4 3\n4 8 3 4 3 4 8 3 4 8 3 4 3 4 8 3 4 8 3 4 3 4 8 3 4 8 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n4 3 8 4 3 8 4 3 4 3 8 4 3 8 4 3 4 3 8 4 3 8 4 3 4 3 8\n3 4 8 3 3 4 8 3 3 4 8 3 3 4 8 3 3 4 8 3 3 4 8 3 3 4 8\n8 8 8 8 3 3 3 3 8 8 8 8 3 3 3 3 8 8 8 8 3 3 3 3 8 8 8\n4 3 8 4 3 8 4 3 4 3 8 4 3 8 4 3 4 3 8 4 3 8 4 3 4 3 8\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n8 4 3 8 3 8 4 3 8 4 3 8 3 8 4 3 8 4 3 8 3 8 4 3 8 4 3\n4 8 3 4 3 4 8 3 4 8 3 4 3 4 8 3 4 8 3 4 3 4 8 3 4 8 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n4 3 8 4 3 8 4 3 4 3 8 4 3 8 4 3 4 3 8 4 3 8 4 3 4 3 8\n3 4 8 3 3 4 8 3 3 4 8 3 3 4 8 3 3 4 8 3 3 4 8 3 3 4 8\n8 8 8 8 3 3 3 3 8 8 8 8 3 3 3 3 8 8 8 8 3 3 3 3 8 8 8\n4 3 8 4 3 8 4 3 4 3 8 4 3 8 4 3 4 3 8 4 3 8 4 3 4 3 8\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n8 4 3 8 3 8 4 3 8 4 3 8 3 8 4 3 8 4 3 8 3 8 4 3 8 4 3\n4 8 3 4 3 4 8 3 4 8 3 4 3 4 8 3 4 8 3 4 3 4 8 3 4 8 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n4 3 8 4 3 8 4 3 4 3 8 4 3 8 4 3 4 3 8 4 3 8 4 3 4 3 8\n3 4 8 3 3 4 8 3 3 4 8 3 3 4 8 3 3 4 8 3 3 4 8 3 3 4 8\n8 8 8 8 3 3 3 3 8 8 8 8 3 3 3 3 8 8 8 8 3 3 3 3 8 8 8\n\nExample 3:\n\nInput:\n8 2 7 3 8 2 7 3 8 2 7 3 8 2 7 3 8 2 7 3 8 2 7 3 8 2 7\n2 0 4 7 7 8 6 3 5 5 5 5 5 5 6 3 2 0 4 7 7 8 6 3 2 0 4\n7 4 0 2 4 0 2 3 5 5 5 5 5 5 2 3 7 4 0 2 4 0 2 3 7 4 0\n3 7 2 8 0 6 4 3 5 5 5 5 5 5 4 3 3 7 2 8 0 6 4 3 3 7 2\n8 7 4 0 4 0 2 3 5 5 5 5 5 5 2 3 8 7 4 0 4 0 2 3 8 7 4\n2 8 0 6 0 6 4 3 2 8 0 6 0 6 4 3 2 8 0 6 0 6 4 3 2 8 0\n7 6 2 4 2 4 8 3 7 5 5 5 5 4 8 3 7 6 2 4 2 4 8 3 7 6 2\n3 3 3 3 3 3 3 3 3 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n8 2 7 3 8 2 7 3 8 2 7 3 8 2 7 3 8 2 7 3 8 2 7 3 8 2 7\n2 0 4 7 7 8 6 3 2 0 4 7 7 8 6 3 2 0 4 7 7 8 6 3 2 0 4\n7 4 0 2 4 0 2 3 7 4 0 2 4 0 2 3 7 4 0 2 4 0 2 3 7 4 0\n3 7 2 8 0 6 4 3 3 7 2 8 0 6 4 3 3 7 2 8 0 6 4 3 3 7 2\n8 7 4 0 4 0 2 3 8 7 4 0 4 0 2 3 8 7 4 0 4 0 2 3 8 7 4\n2 8 0 6 0 6 4 3 2 8 0 6 0 6 4 3 2 8 0 6 0 5 5 5 5 8 0\n7 6 2 4 2 4 8 3 7 6 2 4 2 4 8 3 7 6 2 4 2 5 5 5 5 6 2\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 3 3\n8 2 5 5 8 2 7 3 8 2 7 3 8 2 7 3 8 2 7 3 8 5 5 5 5 2 7\n2 0 5 5 7 8 6 3 2 0 4 7 7 8 6 3 2 0 4 7 7 5 5 5 5 0 4\n7 4 5 5 4 0 2 3 7 4 0 2 4 0 2 3 7 4 0 2 4 0 2 3 7 4 0\n3 7 5 5 0 6 4 3 3 7 2 8 0 6 4 3 3 7 2 8 0 6 4 3 3 7 2\n8 7 4 0 4 0 2 3 8 7 4 0 4 0 2 3 8 7 4 0 4 0 2 3 8 7 4\n2 8 0 6 0 6 4 3 2 8 0 6 0 6 4 3 2 8 0 5 5 5 5 5 5 8 0\n7 6 2 4 2 4 8 3 7 6 2 4 2 4 8 3 7 6 2 5 5 5 5 5 5 6 2\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 3 3\n8 2 7 3 8 2 7 3 8 2 7 3 8 2 7 3 8 2 7 5 5 5 5 5 5 2 7\n2 0 4 7 7 8 6 3 2 0 4 7 7 8 6 3 2 0 4 7 7 8 6 3 2 0 4\n7 4 0 2 4 0 2 3 7 4 0 2 4 0 2 3 7 4 0 2 4 0 2 3 7 4 0\nOutput:\n8 2 7 3 8 2 7 3 8 2 7 3 8 2 7 3 8 2 7 3 8 2 7 3 8 2 7\n2 0 4 7 7 8 6 3 2 0 4 7 7 8 6 3 2 0 4 7 7 8 6 3 2 0 4\n7 4 0 2 4 0 2 3 7 4 0 2 4 0 2 3 7 4 0 2 4 0 2 3 7 4 0\n3 7 2 8 0 6 4 3 3 7 2 8 0 6 4 3 3 7 2 8 0 6 4 3 3 7 2\n8 7 4 0 4 0 2 3 8 7 4 0 4 0 2 3 8 7 4 0 4 0 2 3 8 7 4\n2 8 0 6 0 6 4 3 2 8 0 6 0 6 4 3 2 8 0 6 0 6 4 3 2 8 0\n7 6 2 4 2 4 8 3 7 6 2 4 2 4 8 3 7 6 2 4 2 4 8 3 7 6 2\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n8 2 7 3 8 2 7 3 8 2 7 3 8 2 7 3 8 2 7 3 8 2 7 3 8 2 7\n2 0 4 7 7 8 6 3 2 0 4 7 7 8 6 3 2 0 4 7 7 8 6 3 2 0 4\n7 4 0 2 4 0 2 3 7 4 0 2 4 0 2 3 7 4 0 2 4 0 2 3 7 4 0\n3 7 2 8 0 6 4 3 3 7 2 8 0 6 4 3 3 7 2 8 0 6 4 3 3 7 2\n8 7 4 0 4 0 2 3 8 7 4 0 4 0 2 3 8 7 4 0 4 0 2 3 8 7 4\n2 8 0 6 0 6 4 3 2 8 0 6 0 6 4 3 2 8 0 6 0 6 4 3 2 8 0\n7 6 2 4 2 4 8 3 7 6 2 4 2 4 8 3 7 6 2 4 2 4 8 3 7 6 2\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n8 2 7 3 8 2 7 3 8 2 7 3 8 2 7 3 8 2 7 3 8 2 7 3 8 2 7\n2 0 4 7 7 8 6 3 2 0 4 7 7 8 6 3 2 0 4 7 7 8 6 3 2 0 4\n7 4 0 2 4 0 2 3 7 4 0 2 4 0 2 3 7 4 0 2 4 0 2 3 7 4 0\n3 7 2 8 0 6 4 3 3 7 2 8 0 6 4 3 3 7 2 8 0 6 4 3 3 7 2\n8 7 4 0 4 0 2 3 8 7 4 0 4 0 2 3 8 7 4 0 4 0 2 3 8 7 4\n2 8 0 6 0 6 4 3 2 8 0 6 0 6 4 3 2 8 0 6 0 6 4 3 2 8 0\n7 6 2 4 2 4 8 3 7 6 2 4 2 4 8 3 7 6 2 4 2 4 8 3 7 6 2\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n8 2 7 3 8 2 7 3 8 2 7 3 8 2 7 3 8 2 7 3 8 2 7 3 8 2 7\n2 0 4 7 7 8 6 3 2 0 4 7 7 8 6 3 2 0 4 7 7 8 6 3 2 0 4\n7 4 0 2 4 0 2 3 7 4 0 2 4 0 2 3 7 4 0 2 4 0 2 3 7 4 0\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n4 7 8 6 7 8 6 3 4 7 8 6 7 8 6 3 4 7 8 6 7 8 6 3 4 7 8\n7 4 0 2 2 9 1 3 7 4 0 2 2 9 1 3 7 4 0 2 2 9 1 3 7 4 0\n8 0 1 8 3 7 2 3 8 0 1 8 3 7 2 3 8 0 1 8 3 7 2 3 8 0 1\n6 2 8 9 7 5 5 5 5 2 8 9 7 1 4 3 6 2 8 9 7 1 4 3 6 2 8\n7 2 3 7 3 5 5 5 5 2 3 7 3 7 2 3 7 2 3 7 3 7 2 3 7 2 3\n8 9 7 1 7 5 5 5 5 9 7 1 7 1 4 3 8 9 7 1 7 1 4 3 8 9 7\n6 5 5 5 5 5 5 5 5 1 2 4 2 4 8 3 6 1 2 4 2 4 8 3 6 1 2\n3 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3\n4 5 5 5 5 5 6 3 4 7 8 6 7 8 6 3 4 7 8 6 7 8 6 3 5 5 8\n7 5 5 5 5 5 1 3 7 4 0 2 2 9 1 3 7 4 0 2 2 9 1 3 5 5 0\n8 5 5 5 5 5 2 3 8 0 1 8 3 7 2 3 8 0 1 8 3 7 2 3 5 5 1\n6 5 5 5 5 5 4 3 6 2 8 9 7 5 5 5 5 5 5 9 7 1 4 3 6 2 8\n7 2 3 7 3 7 2 3 7 2 3 7 3 5 5 5 5 5 5 7 3 7 2 3 7 2 3\n8 9 7 1 7 1 4 3 8 9 7 1 7 1 4 3 8 9 7 1 7 1 4 3 8 9 7\n6 1 2 4 2 4 8 3 6 1 2 4 2 4 8 3 6 1 2 4 2 4 8 3 6 1 2\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n4 7 8 6 7 8 6 3 4 7 8 6 7 8 6 3 4 7 8 6 7 8 6 3 4 7 8\n7 4 0 2 2 9 1 3 7 4 0 2 2 9 1 3 7 4 0 2 2 9 1 3 7 4 0\n8 0 1 8 3 7 2 3 8 0 1 8 3 7 2 3 8 0 1 8 3 7 2 3 8 0 1\n6 2 8 9 7 1 4 3 6 2 8 9 7 1 4 3 6 2 8 9 7 1 5 5 5 5 8\n7 2 3 7 3 7 2 3 7 2 3 7 3 7 2 3 7 2 3 7 3 7 5 5 5 5 3\n8 9 7 1 7 1 4 3 8 9 7 1 7 1 4 3 8 9 7 1 7 1 5 5 5 5 7\n6 1 2 4 2 4 8 3 6 1 2 4 2 4 8 3 6 1 2 4 2 4 5 5 5 5 2\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n4 7 8 6 7 8 6 3 4 7 8 6 7 8 6 3 4 7 8 6 7 8 6 3 4 7 8\n7 4 0 2 2 9 1 3 7 4 0 2 2 9 1 3 7 4 0 2 2 9 1 3 7 4 0\n8 0 1 8 3 7 2 3 8 0 1 8 3 7 2 3 8 0 1 8 3 7 2 3 8 0 1\n", "answer": "4 7 8 6 7 8 6 3 4 7 8 6 7 8 6 3 4 7 8 6 7 8 6 3 4 7 8\n7 4 0 2 2 9 1 3 7 4 0 2 2 9 1 3 7 4 0 2 2 9 1 3 7 4 0\n8 0 1 8 3 7 2 3 8 0 1 8 3 7 2 3 8 0 1 8 3 7 2 3 8 0 1\n6 2 8 9 7 1 4 3 6 2 8 9 7 1 4 3 6 2 8 9 7 1 4 3 6 2 8\n7 2 3 7 3 7 2 3 7 2 3 7 3 7 2 3 7 2 3 7 3 7 2 3 7 2 3\n8 9 7 1 7 1 4 3 8 9 7 1 7 1 4 3 8 9 7 1 7 1 4 3 8 9 7\n6 1 2 4 2 4 8 3 6 1 2 4 2 4 8 3 6 1 2 4 2 4 8 3 6 1 2\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n4 7 8 6 7 8 6 3 4 7 8 6 7 8 6 3 4 7 8 6 7 8 6 3 4 7 8\n7 4 0 2 2 9 1 3 7 4 0 2 2 9 1 3 7 4 0 2 2 9 1 3 7 4 0\n8 0 1 8 3 7 2 3 8 0 1 8 3 7 2 3 8 0 1 8 3 7 2 3 8 0 1\n6 2 8 9 7 1 4 3 6 2 8 9 7 1 4 3 6 2 8 9 7 1 4 3 6 2 8\n7 2 3 7 3 7 2 3 7 2 3 7 3 7 2 3 7 2 3 7 3 7 2 3 7 2 3\n8 9 7 1 7 1 4 3 8 9 7 1 7 1 4 3 8 9 7 1 7 1 4 3 8 9 7\n6 1 2 4 2 4 8 3 6 1 2 4 2 4 8 3 6 1 2 4 2 4 8 3 6 1 2\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n4 7 8 6 7 8 6 3 4 7 8 6 7 8 6 3 4 7 8 6 7 8 6 3 4 7 8\n7 4 0 2 2 9 1 3 7 4 0 2 2 9 1 3 7 4 0 2 2 9 1 3 7 4 0\n8 0 1 8 3 7 2 3 8 0 1 8 3 7 2 3 8 0 1 8 3 7 2 3 8 0 1\n6 2 8 9 7 1 4 3 6 2 8 9 7 1 4 3 6 2 8 9 7 1 4 3 6 2 8\n7 2 3 7 3 7 2 3 7 2 3 7 3 7 2 3 7 2 3 7 3 7 2 3 7 2 3\n8 9 7 1 7 1 4 3 8 9 7 1 7 1 4 3 8 9 7 1 7 1 4 3 8 9 7\n6 1 2 4 2 4 8 3 6 1 2 4 2 4 8 3 6 1 2 4 2 4 8 3 6 1 2\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n4 7 8 6 7 8 6 3 4 7 8 6 7 8 6 3 4 7 8 6 7 8 6 3 4 7 8\n7 4 0 2 2 9 1 3 7 4 0 2 2 9 1 3 7 4 0 2 2 9 1 3 7 4 0\n8 0 1 8 3 7 2 3 8 0 1 8 3 7 2 3 8 0 1 8 3 7 2 3 8 0 1", "metadata": {"source_dataset": "arc_agi", "source_index": 286, "input": [[4, 7, 8, 6, 7, 8, 6, 3, 4, 7, 8, 6, 7, 8, 6, 3, 4, 7, 8, 6, 7, 8, 6, 3, 4, 7, 8], [7, 4, 0, 2, 2, 9, 1, 3, 7, 4, 0, 2, 2, 9, 1, 3, 7, 4, 0, 2, 2, 9, 1, 3, 7, 4, 0], [8, 0, 1, 8, 3, 7, 2, 3, 8, 0, 1, 8, 3, 7, 2, 3, 8, 0, 1, 8, 3, 7, 2, 3, 8, 0, 1], [6, 2, 8, 9, 7, 5, 5, 5, 5, 2, 8, 9, 7, 1, 4, 3, 6, 2, 8, 9, 7, 1, 4, 3, 6, 2, 8], [7, 2, 3, 7, 3, 5, 5, 5, 5, 2, 3, 7, 3, 7, 2, 3, 7, 2, 3, 7, 3, 7, 2, 3, 7, 2, 3], [8, 9, 7, 1, 7, 5, 5, 5, 5, 9, 7, 1, 7, 1, 4, 3, 8, 9, 7, 1, 7, 1, 4, 3, 8, 9, 7], [6, 5, 5, 5, 5, 5, 5, 5, 5, 1, 2, 4, 2, 4, 8, 3, 6, 1, 2, 4, 2, 4, 8, 3, 6, 1, 2], [3, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 3], [4, 5, 5, 5, 5, 5, 6, 3, 4, 7, 8, 6, 7, 8, 6, 3, 4, 7, 8, 6, 7, 8, 6, 3, 5, 5, 8], [7, 5, 5, 5, 5, 5, 1, 3, 7, 4, 0, 2, 2, 9, 1, 3, 7, 4, 0, 2, 2, 9, 1, 3, 5, 5, 0], [8, 5, 5, 5, 5, 5, 2, 3, 8, 0, 1, 8, 3, 7, 2, 3, 8, 0, 1, 8, 3, 7, 2, 3, 5, 5, 1], [6, 5, 5, 5, 5, 5, 4, 3, 6, 2, 8, 9, 7, 5, 5, 5, 5, 5, 5, 9, 7, 1, 4, 3, 6, 2, 8], [7, 2, 3, 7, 3, 7, 2, 3, 7, 2, 3, 7, 3, 5, 5, 5, 5, 5, 5, 7, 3, 7, 2, 3, 7, 2, 3], [8, 9, 7, 1, 7, 1, 4, 3, 8, 9, 7, 1, 7, 1, 4, 3, 8, 9, 7, 1, 7, 1, 4, 3, 8, 9, 7], [6, 1, 2, 4, 2, 4, 8, 3, 6, 1, 2, 4, 2, 4, 8, 3, 6, 1, 2, 4, 2, 4, 8, 3, 6, 1, 2], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 7, 8, 6, 7, 8, 6, 3, 4, 7, 8, 6, 7, 8, 6, 3, 4, 7, 8, 6, 7, 8, 6, 3, 4, 7, 8], [7, 4, 0, 2, 2, 9, 1, 3, 7, 4, 0, 2, 2, 9, 1, 3, 7, 4, 0, 2, 2, 9, 1, 3, 7, 4, 0], [8, 0, 1, 8, 3, 7, 2, 3, 8, 0, 1, 8, 3, 7, 2, 3, 8, 0, 1, 8, 3, 7, 2, 3, 8, 0, 1], [6, 2, 8, 9, 7, 1, 4, 3, 6, 2, 8, 9, 7, 1, 4, 3, 6, 2, 8, 9, 7, 1, 5, 5, 5, 5, 8], [7, 2, 3, 7, 3, 7, 2, 3, 7, 2, 3, 7, 3, 7, 2, 3, 7, 2, 3, 7, 3, 7, 5, 5, 5, 5, 3], [8, 9, 7, 1, 7, 1, 4, 3, 8, 9, 7, 1, 7, 1, 4, 3, 8, 9, 7, 1, 7, 1, 5, 5, 5, 5, 7], [6, 1, 2, 4, 2, 4, 8, 3, 6, 1, 2, 4, 2, 4, 8, 3, 6, 1, 2, 4, 2, 4, 5, 5, 5, 5, 2], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 7, 8, 6, 7, 8, 6, 3, 4, 7, 8, 6, 7, 8, 6, 3, 4, 7, 8, 6, 7, 8, 6, 3, 4, 7, 8], [7, 4, 0, 2, 2, 9, 1, 3, 7, 4, 0, 2, 2, 9, 1, 3, 7, 4, 0, 2, 2, 9, 1, 3, 7, 4, 0], [8, 0, 1, 8, 3, 7, 2, 3, 8, 0, 1, 8, 3, 7, 2, 3, 8, 0, 1, 8, 3, 7, 2, 3, 8, 0, 1]], "output": [[4, 7, 8, 6, 7, 8, 6, 3, 4, 7, 8, 6, 7, 8, 6, 3, 4, 7, 8, 6, 7, 8, 6, 3, 4, 7, 8], [7, 4, 0, 2, 2, 9, 1, 3, 7, 4, 0, 2, 2, 9, 1, 3, 7, 4, 0, 2, 2, 9, 1, 3, 7, 4, 0], [8, 0, 1, 8, 3, 7, 2, 3, 8, 0, 1, 8, 3, 7, 2, 3, 8, 0, 1, 8, 3, 7, 2, 3, 8, 0, 1], [6, 2, 8, 9, 7, 1, 4, 3, 6, 2, 8, 9, 7, 1, 4, 3, 6, 2, 8, 9, 7, 1, 4, 3, 6, 2, 8], [7, 2, 3, 7, 3, 7, 2, 3, 7, 2, 3, 7, 3, 7, 2, 3, 7, 2, 3, 7, 3, 7, 2, 3, 7, 2, 3], [8, 9, 7, 1, 7, 1, 4, 3, 8, 9, 7, 1, 7, 1, 4, 3, 8, 9, 7, 1, 7, 1, 4, 3, 8, 9, 7], [6, 1, 2, 4, 2, 4, 8, 3, 6, 1, 2, 4, 2, 4, 8, 3, 6, 1, 2, 4, 2, 4, 8, 3, 6, 1, 2], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 7, 8, 6, 7, 8, 6, 3, 4, 7, 8, 6, 7, 8, 6, 3, 4, 7, 8, 6, 7, 8, 6, 3, 4, 7, 8], [7, 4, 0, 2, 2, 9, 1, 3, 7, 4, 0, 2, 2, 9, 1, 3, 7, 4, 0, 2, 2, 9, 1, 3, 7, 4, 0], [8, 0, 1, 8, 3, 7, 2, 3, 8, 0, 1, 8, 3, 7, 2, 3, 8, 0, 1, 8, 3, 7, 2, 3, 8, 0, 1], [6, 2, 8, 9, 7, 1, 4, 3, 6, 2, 8, 9, 7, 1, 4, 3, 6, 2, 8, 9, 7, 1, 4, 3, 6, 2, 8], [7, 2, 3, 7, 3, 7, 2, 3, 7, 2, 3, 7, 3, 7, 2, 3, 7, 2, 3, 7, 3, 7, 2, 3, 7, 2, 3], [8, 9, 7, 1, 7, 1, 4, 3, 8, 9, 7, 1, 7, 1, 4, 3, 8, 9, 7, 1, 7, 1, 4, 3, 8, 9, 7], [6, 1, 2, 4, 2, 4, 8, 3, 6, 1, 2, 4, 2, 4, 8, 3, 6, 1, 2, 4, 2, 4, 8, 3, 6, 1, 2], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 7, 8, 6, 7, 8, 6, 3, 4, 7, 8, 6, 7, 8, 6, 3, 4, 7, 8, 6, 7, 8, 6, 3, 4, 7, 8], [7, 4, 0, 2, 2, 9, 1, 3, 7, 4, 0, 2, 2, 9, 1, 3, 7, 4, 0, 2, 2, 9, 1, 3, 7, 4, 0], [8, 0, 1, 8, 3, 7, 2, 3, 8, 0, 1, 8, 3, 7, 2, 3, 8, 0, 1, 8, 3, 7, 2, 3, 8, 0, 1], [6, 2, 8, 9, 7, 1, 4, 3, 6, 2, 8, 9, 7, 1, 4, 3, 6, 2, 8, 9, 7, 1, 4, 3, 6, 2, 8], [7, 2, 3, 7, 3, 7, 2, 3, 7, 2, 3, 7, 3, 7, 2, 3, 7, 2, 3, 7, 3, 7, 2, 3, 7, 2, 3], [8, 9, 7, 1, 7, 1, 4, 3, 8, 9, 7, 1, 7, 1, 4, 3, 8, 9, 7, 1, 7, 1, 4, 3, 8, 9, 7], [6, 1, 2, 4, 2, 4, 8, 3, 6, 1, 2, 4, 2, 4, 8, 3, 6, 1, 2, 4, 2, 4, 8, 3, 6, 1, 2], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 7, 8, 6, 7, 8, 6, 3, 4, 7, 8, 6, 7, 8, 6, 3, 4, 7, 8, 6, 7, 8, 6, 3, 4, 7, 8], [7, 4, 0, 2, 2, 9, 1, 3, 7, 4, 0, 2, 2, 9, 1, 3, 7, 4, 0, 2, 2, 9, 1, 3, 7, 4, 0], [8, 0, 1, 8, 3, 7, 2, 3, 8, 0, 1, 8, 3, 7, 2, 3, 8, 0, 1, 8, 3, 7, 2, 3, 8, 0, 1]], "task_id": "c663677b", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 286, "input": [[4, 7, 8, 6, 7, 8, 6, 3, 4, 7, 8, 6, 7, 8, 6, 3, 4, 7, 8, 6, 7, 8, 6, 3, 4, 7, 8], [7, 4, 0, 2, 2, 9, 1, 3, 7, 4, 0, 2, 2, 9, 1, 3, 7, 4, 0, 2, 2, 9, 1, 3, 7, 4, 0], [8, 0, 1, 8, 3, 7, 2, 3, 8, 0, 1, 8, 3, 7, 2, 3, 8, 0, 1, 8, 3, 7, 2, 3, 8, 0, 1], [6, 2, 8, 9, 7, 5, 5, 5, 5, 2, 8, 9, 7, 1, 4, 3, 6, 2, 8, 9, 7, 1, 4, 3, 6, 2, 8], [7, 2, 3, 7, 3, 5, 5, 5, 5, 2, 3, 7, 3, 7, 2, 3, 7, 2, 3, 7, 3, 7, 2, 3, 7, 2, 3], [8, 9, 7, 1, 7, 5, 5, 5, 5, 9, 7, 1, 7, 1, 4, 3, 8, 9, 7, 1, 7, 1, 4, 3, 8, 9, 7], [6, 5, 5, 5, 5, 5, 5, 5, 5, 1, 2, 4, 2, 4, 8, 3, 6, 1, 2, 4, 2, 4, 8, 3, 6, 1, 2], [3, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 3], [4, 5, 5, 5, 5, 5, 6, 3, 4, 7, 8, 6, 7, 8, 6, 3, 4, 7, 8, 6, 7, 8, 6, 3, 5, 5, 8], [7, 5, 5, 5, 5, 5, 1, 3, 7, 4, 0, 2, 2, 9, 1, 3, 7, 4, 0, 2, 2, 9, 1, 3, 5, 5, 0], [8, 5, 5, 5, 5, 5, 2, 3, 8, 0, 1, 8, 3, 7, 2, 3, 8, 0, 1, 8, 3, 7, 2, 3, 5, 5, 1], [6, 5, 5, 5, 5, 5, 4, 3, 6, 2, 8, 9, 7, 5, 5, 5, 5, 5, 5, 9, 7, 1, 4, 3, 6, 2, 8], [7, 2, 3, 7, 3, 7, 2, 3, 7, 2, 3, 7, 3, 5, 5, 5, 5, 5, 5, 7, 3, 7, 2, 3, 7, 2, 3], [8, 9, 7, 1, 7, 1, 4, 3, 8, 9, 7, 1, 7, 1, 4, 3, 8, 9, 7, 1, 7, 1, 4, 3, 8, 9, 7], [6, 1, 2, 4, 2, 4, 8, 3, 6, 1, 2, 4, 2, 4, 8, 3, 6, 1, 2, 4, 2, 4, 8, 3, 6, 1, 2], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 7, 8, 6, 7, 8, 6, 3, 4, 7, 8, 6, 7, 8, 6, 3, 4, 7, 8, 6, 7, 8, 6, 3, 4, 7, 8], [7, 4, 0, 2, 2, 9, 1, 3, 7, 4, 0, 2, 2, 9, 1, 3, 7, 4, 0, 2, 2, 9, 1, 3, 7, 4, 0], [8, 0, 1, 8, 3, 7, 2, 3, 8, 0, 1, 8, 3, 7, 2, 3, 8, 0, 1, 8, 3, 7, 2, 3, 8, 0, 1], [6, 2, 8, 9, 7, 1, 4, 3, 6, 2, 8, 9, 7, 1, 4, 3, 6, 2, 8, 9, 7, 1, 5, 5, 5, 5, 8], [7, 2, 3, 7, 3, 7, 2, 3, 7, 2, 3, 7, 3, 7, 2, 3, 7, 2, 3, 7, 3, 7, 5, 5, 5, 5, 3], [8, 9, 7, 1, 7, 1, 4, 3, 8, 9, 7, 1, 7, 1, 4, 3, 8, 9, 7, 1, 7, 1, 5, 5, 5, 5, 7], [6, 1, 2, 4, 2, 4, 8, 3, 6, 1, 2, 4, 2, 4, 8, 3, 6, 1, 2, 4, 2, 4, 5, 5, 5, 5, 2], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 7, 8, 6, 7, 8, 6, 3, 4, 7, 8, 6, 7, 8, 6, 3, 4, 7, 8, 6, 7, 8, 6, 3, 4, 7, 8], [7, 4, 0, 2, 2, 9, 1, 3, 7, 4, 0, 2, 2, 9, 1, 3, 7, 4, 0, 2, 2, 9, 1, 3, 7, 4, 0], [8, 0, 1, 8, 3, 7, 2, 3, 8, 0, 1, 8, 3, 7, 2, 3, 8, 0, 1, 8, 3, 7, 2, 3, 8, 0, 1]], "output": [[4, 7, 8, 6, 7, 8, 6, 3, 4, 7, 8, 6, 7, 8, 6, 3, 4, 7, 8, 6, 7, 8, 6, 3, 4, 7, 8], [7, 4, 0, 2, 2, 9, 1, 3, 7, 4, 0, 2, 2, 9, 1, 3, 7, 4, 0, 2, 2, 9, 1, 3, 7, 4, 0], [8, 0, 1, 8, 3, 7, 2, 3, 8, 0, 1, 8, 3, 7, 2, 3, 8, 0, 1, 8, 3, 7, 2, 3, 8, 0, 1], [6, 2, 8, 9, 7, 1, 4, 3, 6, 2, 8, 9, 7, 1, 4, 3, 6, 2, 8, 9, 7, 1, 4, 3, 6, 2, 8], [7, 2, 3, 7, 3, 7, 2, 3, 7, 2, 3, 7, 3, 7, 2, 3, 7, 2, 3, 7, 3, 7, 2, 3, 7, 2, 3], [8, 9, 7, 1, 7, 1, 4, 3, 8, 9, 7, 1, 7, 1, 4, 3, 8, 9, 7, 1, 7, 1, 4, 3, 8, 9, 7], [6, 1, 2, 4, 2, 4, 8, 3, 6, 1, 2, 4, 2, 4, 8, 3, 6, 1, 2, 4, 2, 4, 8, 3, 6, 1, 2], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 7, 8, 6, 7, 8, 6, 3, 4, 7, 8, 6, 7, 8, 6, 3, 4, 7, 8, 6, 7, 8, 6, 3, 4, 7, 8], [7, 4, 0, 2, 2, 9, 1, 3, 7, 4, 0, 2, 2, 9, 1, 3, 7, 4, 0, 2, 2, 9, 1, 3, 7, 4, 0], [8, 0, 1, 8, 3, 7, 2, 3, 8, 0, 1, 8, 3, 7, 2, 3, 8, 0, 1, 8, 3, 7, 2, 3, 8, 0, 1], [6, 2, 8, 9, 7, 1, 4, 3, 6, 2, 8, 9, 7, 1, 4, 3, 6, 2, 8, 9, 7, 1, 4, 3, 6, 2, 8], [7, 2, 3, 7, 3, 7, 2, 3, 7, 2, 3, 7, 3, 7, 2, 3, 7, 2, 3, 7, 3, 7, 2, 3, 7, 2, 3], [8, 9, 7, 1, 7, 1, 4, 3, 8, 9, 7, 1, 7, 1, 4, 3, 8, 9, 7, 1, 7, 1, 4, 3, 8, 9, 7], [6, 1, 2, 4, 2, 4, 8, 3, 6, 1, 2, 4, 2, 4, 8, 3, 6, 1, 2, 4, 2, 4, 8, 3, 6, 1, 2], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 7, 8, 6, 7, 8, 6, 3, 4, 7, 8, 6, 7, 8, 6, 3, 4, 7, 8, 6, 7, 8, 6, 3, 4, 7, 8], [7, 4, 0, 2, 2, 9, 1, 3, 7, 4, 0, 2, 2, 9, 1, 3, 7, 4, 0, 2, 2, 9, 1, 3, 7, 4, 0], [8, 0, 1, 8, 3, 7, 2, 3, 8, 0, 1, 8, 3, 7, 2, 3, 8, 0, 1, 8, 3, 7, 2, 3, 8, 0, 1], [6, 2, 8, 9, 7, 1, 4, 3, 6, 2, 8, 9, 7, 1, 4, 3, 6, 2, 8, 9, 7, 1, 4, 3, 6, 2, 8], [7, 2, 3, 7, 3, 7, 2, 3, 7, 2, 3, 7, 3, 7, 2, 3, 7, 2, 3, 7, 3, 7, 2, 3, 7, 2, 3], [8, 9, 7, 1, 7, 1, 4, 3, 8, 9, 7, 1, 7, 1, 4, 3, 8, 9, 7, 1, 7, 1, 4, 3, 8, 9, 7], [6, 1, 2, 4, 2, 4, 8, 3, 6, 1, 2, 4, 2, 4, 8, 3, 6, 1, 2, 4, 2, 4, 8, 3, 6, 1, 2], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 7, 8, 6, 7, 8, 6, 3, 4, 7, 8, 6, 7, 8, 6, 3, 4, 7, 8, 6, 7, 8, 6, 3, 4, 7, 8], [7, 4, 0, 2, 2, 9, 1, 3, 7, 4, 0, 2, 2, 9, 1, 3, 7, 4, 0, 2, 2, 9, 1, 3, 7, 4, 0], [8, 0, 1, 8, 3, 7, 2, 3, 8, 0, 1, 8, 3, 7, 2, 3, 8, 0, 1, 8, 3, 7, 2, 3, 8, 0, 1]], "task_id": "c663677b", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null
General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 1 7 7 1 1 1 9 1 1 9 7 7 1 1 1 9 1 1 1 9 7 1 1 7 7 1 1 1 9 1 7 1 7 1 7 9 9 9 9 9 1 1 7 7 7 9 9 1 1 1 1 0 1 0 0 1 1 1 6 1 1 1 0 1 0 1 6 1 1 6 1 0 0 1 0 1 6 6 6 1 0 0 0 0 0 6 1 6 1 6 0 1 1 1 0 1 6 1 1 6 Output: 1 0 7 0 0 9 6 0 1 0 7 0 0 9 0 0 0 0 0 0 0 9 7 7 0 Example 2: Input: 7 7 1 7 7 9 9 1 1 1 7 1 1 7 7 9 9 1 9 1 7 7 7 7 7 9 1 1 1 1 7 7 1 1 7 1 1 9 1 1 7 1 7 1 1 9 9 1 1 9 0 1 1 0 0 1 6 1 6 1 0 1 1 1 1 1 1 1 1 6 1 0 1 1 0 6 1 1 6 1 0 1 0 0 1 6 1 1 1 6 0 0 1 0 0 6 1 1 1 1 Output: 0 9 1 0 0 0 9 1 9 6 9 0 7 6 0 0 7 0 0 6 0 0 7 0 0 Example 3: Input: 7 7 1 1 1 1 1 9 9 1 1 1 7 7 1 9 1 9 9 9 1 1 7 7 1 9 9 9 9 9 1 1 1 1 1 9 9 1 1 1 7 1 7 7 7 9 9 1 9 9 1 0 0 1 1 1 6 6 1 1 1 0 1 1 1 6 1 6 6 6 0 0 1 0 1 1 1 1 6 1 0 0 0 1 1 1 1 6 6 1 1 1 0 1 0 6 6 1 6 6 Output: 7 0 0 9 1 9 0 9 9 9 0 0 9 0 9 0 0 0 6 1 9 9 0 9 0 Example 4: Input: 1 1 1 7 1 9 1 9 1 9 7 7 7 7 1 1 1 9 1 9 1 7 1 1 7 9 1 1 9 1 1 7 1 1 7 1 9 9 9 9 7 7 1 1 1 9 1 1 9 1 1 0 1 0 0 1 1 1 1 6 1 0 0 0 0 1 1 6 1 6 1 0 0 0 1 6 1 6 1 6 1 0 0 1 1 6 6 6 1 6 0 0 1 0 1 1 1 1 1 1 Output: 9 0 9 0 0 7 0 0 0 0 9 0 0 0 6 6 0 0 9 9 0 0 1 0 1 Example 5: Input: 7 1 7 7 1 1 9 1 9 1 1 1 7 7 1 1 1 1 9 9 1 7 1 7 7 1 9 9 9 9 1 7 7 1 1 1 1 1 9 1 1 7 1 1 7 9 9 1 1 1 0 0 0 0 0 1 6 6 6 6 1 0 0 1 0 6 1 1 1 6 1 0 0 1 1 1 6 6 1 6 1 0 0 1 1 6 1 6 1 6 0 0 0 1 1 6 1 1 6 6 Output: 0 0 0 0 0 6 0 0 9 0 1 0 0 9 9 6 0 0 9 6 0 0 0 6 6 Example 6: Input: 1 1 1 1 1 9 9 1 1 1 7 7 1 1 7 1 1 1 1 1 7 1 1 7 7 9 1 9 1 1 7 1 1 7 7 9 1 1 9 1 1 1 1 1 7 1 9 1 1 9 1 1 1 0 0 1 1 1 6 1 0 0 1 1 0 1 6 1 6 1 1 1 0 0 0 1 1 1 1 6 0 1 0 0 0 1 6 1 1 6 1 0 0 0 0 1 1 6 1 6 Output: 9 9 1 0 0 0 0 1 6 0 9 1 0 0 0 0 6 0 0 0 1 0 0 0 0 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 7 7 1 1 7 1 1 1 1 9 1 1 1 1 7 1 9 1 1 1 7 1 7 7 7 1 1 1 9 9 1 1 7 1 7 9 9 9 9 1 1 1 7 7 1 9 9 9 9 1 0 0 1 0 0 1 6 1 6 1 1 0 1 0 1 1 1 1 1 1 0 1 1 0 1 6 1 6 1 6 0 1 0 0 1 1 1 6 1 6 1 0 1 1 1 6 6 1 1 1
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "0 0 1 0 0\n1 0 1 0 7\n0 1 6 0 9\n0 9 0 0 6\n9 0 9 9 1", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n1 7 7 1 1 1 9 1 1 9\n7 7 1 1 1 9 1 1 1 9\n7 1 1 7 7 1 1 1 9 1\n7 1 7 1 7 9 9 9 9 9\n1 1 7 7 7 9 9 1 1 1\n1 0 1 0 0 1 1 1 6 1\n1 1 0 1 0 1 6 1 1 6\n1 0 0 1 0 1 6 6 6 1\n0 0 0 0 0 6 1 6 1 6\n0 1 1 1 0 1 6 1 1 6\nOutput:\n1 0 7 0 0\n9 6 0 1 0\n7 0 0 9 0\n0 0 0 0 0\n0 9 7 7 0\n\nExample 2:\n\nInput:\n7 7 1 7 7 9 9 1 1 1\n7 1 1 7 7 9 9 1 9 1\n7 7 7 7 7 9 1 1 1 1\n7 7 1 1 7 1 1 9 1 1\n7 1 7 1 1 9 9 1 1 9\n0 1 1 0 0 1 6 1 6 1\n0 1 1 1 1 1 1 1 1 6\n1 0 1 1 0 6 1 1 6 1\n0 1 0 0 1 6 1 1 1 6\n0 0 1 0 0 6 1 1 1 1\nOutput:\n0 9 1 0 0\n0 9 1 9 6\n9 0 7 6 0\n0 7 0 0 6\n0 0 7 0 0\n\nExample 3:\n\nInput:\n7 7 1 1 1 1 1 9 9 1\n1 1 7 7 1 9 1 9 9 9\n1 1 7 7 1 9 9 9 9 9\n1 1 1 1 1 9 9 1 1 1\n7 1 7 7 7 9 9 1 9 9\n1 0 0 1 1 1 6 6 1 1\n1 0 1 1 1 6 1 6 6 6\n0 0 1 0 1 1 1 1 6 1\n0 0 0 1 1 1 1 6 6 1\n1 1 0 1 0 6 6 1 6 6\nOutput:\n7 0 0 9 1\n9 0 9 9 9\n0 0 9 0 9\n0 0 0 6 1\n9 9 0 9 0\n\nExample 4:\n\nInput:\n1 1 1 7 1 9 1 9 1 9\n7 7 7 7 1 1 1 9 1 9\n1 7 1 1 7 9 1 1 9 1\n1 7 1 1 7 1 9 9 9 9\n7 7 1 1 1 9 1 1 9 1\n1 0 1 0 0 1 1 1 1 6\n1 0 0 0 0 1 1 6 1 6\n1 0 0 0 1 6 1 6 1 6\n1 0 0 1 1 6 6 6 1 6\n0 0 1 0 1 1 1 1 1 1\nOutput:\n9 0 9 0 0\n7 0 0 0 0\n9 0 0 0 6\n6 0 0 9 9\n0 0 1 0 1\n\nExample 5:\n\nInput:\n7 1 7 7 1 1 9 1 9 1\n1 1 7 7 1 1 1 1 9 9\n1 7 1 7 7 1 9 9 9 9\n1 7 7 1 1 1 1 1 9 1\n1 7 1 1 7 9 9 1 1 1\n0 0 0 0 0 1 6 6 6 6\n1 0 0 1 0 6 1 1 1 6\n1 0 0 1 1 1 6 6 1 6\n1 0 0 1 1 6 1 6 1 6\n0 0 0 1 1 6 1 1 6 6\nOutput:\n0 0 0 0 0\n6 0 0 9 0\n1 0 0 9 9\n6 0 0 9 6\n0 0 0 6 6\n\nExample 6:\n\nInput:\n1 1 1 1 1 9 9 1 1 1\n7 7 1 1 7 1 1 1 1 1\n7 1 1 7 7 9 1 9 1 1\n7 1 1 7 7 9 1 1 9 1\n1 1 1 1 7 1 9 1 1 9\n1 1 1 0 0 1 1 1 6 1\n0 0 1 1 0 1 6 1 6 1\n1 1 0 0 0 1 1 1 1 6\n0 1 0 0 0 1 6 1 1 6\n1 0 0 0 0 1 1 6 1 6\nOutput:\n9 9 1 0 0\n0 0 1 6 0\n9 1 0 0 0\n0 6 0 0 0\n1 0 0 0 0\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n7 7 1 1 7 1 1 1 1 9\n1 1 1 1 7 1 9 1 1 1\n7 1 7 7 7 1 1 1 9 9\n1 1 7 1 7 9 9 9 9 1\n1 1 7 7 1 9 9 9 9 1\n0 0 1 0 0 1 6 1 6 1\n1 0 1 0 1 1 1 1 1 1\n0 1 1 0 1 6 1 6 1 6\n0 1 0 0 1 1 1 6 1 6\n1 0 1 1 1 6 6 1 1 1\n", "answer": "0 0 1 0 0\n1 0 1 0 7\n0 1 6 0 9\n0 9 0 0 6\n9 0 9 9 1", "metadata": {"source_dataset": "arc_agi", "source_index": 287, "input": [[7, 7, 1, 1, 7, 1, 1, 1, 1, 9], [1, 1, 1, 1, 7, 1, 9, 1, 1, 1], [7, 1, 7, 7, 7, 1, 1, 1, 9, 9], [1, 1, 7, 1, 7, 9, 9, 9, 9, 1], [1, 1, 7, 7, 1, 9, 9, 9, 9, 1], [0, 0, 1, 0, 0, 1, 6, 1, 6, 1], [1, 0, 1, 0, 1, 1, 1, 1, 1, 1], [0, 1, 1, 0, 1, 6, 1, 6, 1, 6], [0, 1, 0, 0, 1, 1, 1, 6, 1, 6], [1, 0, 1, 1, 1, 6, 6, 1, 1, 1]], "output": [[0, 0, 1, 0, 0], [1, 0, 1, 0, 7], [0, 1, 6, 0, 9], [0, 9, 0, 0, 6], [9, 0, 9, 9, 1]], "task_id": "ea9794b1", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 287, "input": [[7, 7, 1, 1, 7, 1, 1, 1, 1, 9], [1, 1, 1, 1, 7, 1, 9, 1, 1, 1], [7, 1, 7, 7, 7, 1, 1, 1, 9, 9], [1, 1, 7, 1, 7, 9, 9, 9, 9, 1], [1, 1, 7, 7, 1, 9, 9, 9, 9, 1], [0, 0, 1, 0, 0, 1, 6, 1, 6, 1], [1, 0, 1, 0, 1, 1, 1, 1, 1, 1], [0, 1, 1, 0, 1, 6, 1, 6, 1, 6], [0, 1, 0, 0, 1, 1, 1, 6, 1, 6], [1, 0, 1, 1, 1, 6, 6, 1, 1, 1]], "output": [[0, 0, 1, 0, 0], [1, 0, 1, 0, 7], [0, 1, 6, 0, 9], [0, 9, 0, 0, 6], [9, 0, 9, 9, 1]], "task_id": "ea9794b1", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null
General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 Output: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 2 2 2 2 2 0 0 2 2 2 2 2 2 2 2 2 0 0 2 2 2 2 2 2 2 2 2 0 0 3 3 2 2 2 2 2 2 2 0 0 0 0 2 2 2 2 2 2 2 2 2 0 0 3 2 2 2 2 2 2 2 2 0 0 0 2 2 2 2 2 2 2 2 2 0 Example 2: Input: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 Output: 0 2 2 2 2 2 2 2 2 2 0 0 2 2 2 2 2 2 2 2 2 0 0 2 2 2 2 2 2 2 2 2 0 0 2 2 2 2 2 2 2 2 2 0 0 2 2 2 2 2 2 2 2 2 0 0 2 2 2 2 2 2 2 2 2 0 0 2 2 2 2 2 2 2 2 2 0 0 2 2 2 2 2 2 2 2 2 0 0 2 2 2 2 2 2 2 2 2 0 2 Example 3: Input: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 Output: 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 2 2 2 2 2 0 0 2 2 2 2 2 2 2 2 2 0 0 2 2 2 2 2 2 2 2 2 0 0 2 2 2 2 2 2 2 2 2 0 0 2 2 2 2 2 2 2 2 2 0 0 3 2 2 2 2 2 2 2 2 0 0 0 2 2 2 2 2 2 2 2 2 0 0 2 2 2 2 2 2 2 2 2 0 2 Example 4: Input: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 Output: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 2 2 2 2 2 0 0 2 2 2 2 2 2 2 2 2 0 0 2 2 2 2 2 2 2 2 2 0 0 2 2 2 2 2 2 2 2 2 0 0 2 2 2 2 2 2 2 2 2 0 0 2 2 2 2 2 2 2 2 2 0 0 2 2 2 2 2 2 2 2 2 0 2 2 2 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n0 2 2 2 2 2 2 2 2 2\n0 0 3 2 2 2 2 2 2 2\n2 0 0 0 2 2 2 2 2 2\n2 2 2 0 0 3 3 2 2 2\n2 2 2 2 0 0 0 0 2 2\n2 2 2 2 2 2 2 0 0 2\n2 2 2 2 2 2 2 2 0 2", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 3 3 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 3 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 0\nOutput:\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n0 2 2 2 2 2 2 2 2 2\n0 0 2 2 2 2 2 2 2 2\n2 0 0 2 2 2 2 2 2 2\n2 2 0 0 3 3 2 2 2 2\n2 2 2 0 0 0 0 2 2 2\n2 2 2 2 2 2 0 0 3 2\n2 2 2 2 2 2 2 0 0 0\n2 2 2 2 2 2 2 2 2 0\n\nExample 2:\n\nInput:\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 0 2\nOutput:\n0 2 2 2 2 2 2 2 2 2\n0 0 2 2 2 2 2 2 2 2\n2 0 0 2 2 2 2 2 2 2\n2 2 0 0 2 2 2 2 2 2\n2 2 2 0 0 2 2 2 2 2\n2 2 2 2 0 0 2 2 2 2\n2 2 2 2 2 0 0 2 2 2\n2 2 2 2 2 2 0 0 2 2\n2 2 2 2 2 2 2 0 0 2\n2 2 2 2 2 2 2 2 0 2\n\nExample 3:\n\nInput:\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 3 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 0 2\nOutput:\n2 2 2 2 2 2 2 2 2 2\n0 2 2 2 2 2 2 2 2 2\n0 0 2 2 2 2 2 2 2 2\n2 0 0 2 2 2 2 2 2 2\n2 2 0 0 2 2 2 2 2 2\n2 2 2 0 0 2 2 2 2 2\n2 2 2 2 0 0 3 2 2 2\n2 2 2 2 2 0 0 0 2 2\n2 2 2 2 2 2 2 0 0 2\n2 2 2 2 2 2 2 2 0 2\n\nExample 4:\n\nInput:\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 0 2 2 2\nOutput:\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n0 2 2 2 2 2 2 2 2 2\n0 0 2 2 2 2 2 2 2 2\n2 0 0 2 2 2 2 2 2 2\n2 2 0 0 2 2 2 2 2 2\n2 2 2 0 0 2 2 2 2 2\n2 2 2 2 0 0 2 2 2 2\n2 2 2 2 2 0 0 2 2 2\n2 2 2 2 2 2 0 2 2 2\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 3 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 3 3 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 0 2\n", "answer": "2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n0 2 2 2 2 2 2 2 2 2\n0 0 3 2 2 2 2 2 2 2\n2 0 0 0 2 2 2 2 2 2\n2 2 2 0 0 3 3 2 2 2\n2 2 2 2 0 0 0 0 2 2\n2 2 2 2 2 2 2 0 0 2\n2 2 2 2 2 2 2 2 0 2", "metadata": {"source_dataset": "arc_agi", "source_index": 288, "input": [[2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 3, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 3, 3, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 0, 2]], "output": [[2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 3, 2, 2, 2, 2, 2, 2, 2], [2, 0, 0, 0, 2, 2, 2, 2, 2, 2], [2, 2, 2, 0, 0, 3, 3, 2, 2, 2], [2, 2, 2, 2, 0, 0, 0, 0, 2, 2], [2, 2, 2, 2, 2, 2, 2, 0, 0, 2], [2, 2, 2, 2, 2, 2, 2, 2, 0, 2]], "task_id": "69889d6e", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 288, "input": [[2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 3, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 3, 3, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 0, 2]], "output": [[2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 3, 2, 2, 2, 2, 2, 2, 2], [2, 0, 0, 0, 2, 2, 2, 2, 2, 2], [2, 2, 2, 0, 0, 3, 3, 2, 2, 2], [2, 2, 2, 2, 0, 0, 0, 0, 2, 2], [2, 2, 2, 2, 2, 2, 2, 0, 0, 2], [2, 2, 2, 2, 2, 2, 2, 2, 0, 2]], "task_id": "69889d6e", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null
General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 Output: 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 2 5 2 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 Example 2: Input: 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 9 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 3 3 3 3 3 3 6 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 Output: 3 3 3 3 3 3 3 3 3 3 3 3 2 9 2 9 2 9 2 9 2 9 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 2 7 2 7 2 7 2 7 2 7 3 2 6 2 6 2 6 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 Example 3: Input: 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 9 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 6 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 Output: 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 9 2 9 2 9 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 6 2 6 2 6 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 3 3 3 3 3 3 3 3 3 3 3 3 7 3 3 3 3 3 3 3 3 8 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 9 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "3 3 3 3 3 3 3 3\n7 2 7 2 7 3 3 3\n2 8 2 8 2 8 3 3\n3 3 3 3 3 3 3 3\n2 5 2 5 3 3 3 3\n3 3 3 3 3 3 3 3\n9 2 9 2 9 3 3 3\n3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3\n3 3 3 3 5 3 3 3\n3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3\nOutput:\n3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3\n5 2 5 2 5 3 3 3\n3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3\n\nExample 2:\n\nInput:\n3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 9 3 3\n3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 7 3\n3 3 3 3 3 6 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3\nOutput:\n3 3 3 3 3 3 3 3 3 3 3 3\n2 9 2 9 2 9 2 9 2 9 3 3\n3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3\n7 2 7 2 7 2 7 2 7 2 7 3\n2 6 2 6 2 6 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3\n\nExample 3:\n\nInput:\n3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3\n3 3 3 3 3 9 3 3\n3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3\n3 3 3 3 6 3 3 3\n3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3\nOutput:\n3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3\n2 9 2 9 2 9 3 3\n3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3\n6 2 6 2 6 3 3 3\n3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n3 3 3 3 3 3 3 3\n3 3 3 3 7 3 3 3\n3 3 3 3 3 8 3 3\n3 3 3 3 3 3 3 3\n3 3 3 5 3 3 3 3\n3 3 3 3 3 3 3 3\n3 3 3 3 9 3 3 3\n3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3\n", "answer": "3 3 3 3 3 3 3 3\n7 2 7 2 7 3 3 3\n2 8 2 8 2 8 3 3\n3 3 3 3 3 3 3 3\n2 5 2 5 3 3 3 3\n3 3 3 3 3 3 3 3\n9 2 9 2 9 3 3 3\n3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3", "metadata": {"source_dataset": "arc_agi", "source_index": 289, "input": [[3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 7, 3, 3, 3], [3, 3, 3, 3, 3, 8, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 5, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 9, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3]], "output": [[3, 3, 3, 3, 3, 3, 3, 3], [7, 2, 7, 2, 7, 3, 3, 3], [2, 8, 2, 8, 2, 8, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3], [2, 5, 2, 5, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3], [9, 2, 9, 2, 9, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3]], "task_id": "97999447", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 289, "input": [[3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 7, 3, 3, 3], [3, 3, 3, 3, 3, 8, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 5, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 9, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3]], "output": [[3, 3, 3, 3, 3, 3, 3, 3], [7, 2, 7, 2, 7, 3, 3, 3], [2, 8, 2, 8, 2, 8, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3], [2, 5, 2, 5, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3], [9, 2, 9, 2, 9, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3]], "task_id": "97999447", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
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General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 1 8 1 6 5 8 5 6 8 Output: 8 6 5 5 6 8 8 6 5 8 5 6 6 5 8 8 5 6 1 8 1 1 8 1 1 8 1 1 8 1 1 8 1 1 8 1 8 5 6 6 5 8 8 5 6 8 6 5 5 6 8 8 6 5 8 6 5 5 6 8 8 6 5 8 5 6 6 5 8 8 5 6 1 8 1 1 8 1 1 8 1 Example 2: Input: 6 7 8 7 8 5 8 5 8 Output: 8 5 8 8 5 8 8 5 8 5 8 7 7 8 5 5 8 7 8 7 6 6 7 8 8 7 6 8 7 6 6 7 8 8 7 6 5 8 7 7 8 5 5 8 7 8 5 8 8 5 8 8 5 8 8 5 8 8 5 8 8 5 8 5 8 7 7 8 5 5 8 7 8 7 6 6 7 8 8 7 6 Example 3: Input: 5 9 1 9 6 5 6 9 1 Output: 1 9 6 6 9 1 1 9 6 5 6 9 9 6 5 5 6 9 1 9 5 5 9 1 1 9 5 1 9 5 5 9 1 1 9 5 5 6 9 9 6 5 5 6 9 1 9 6 6 9 1 1 9 6 1 9 6 6 9 1 1 9 6 5 6 9 9 6 5 5 6 9 1 9 5 5 9 1 1 9 5 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 5 4 4 5 2 5 4 4 5
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "5 4 4 4 4 5 5 4 4\n5 2 5 5 2 5 5 2 5\n4 4 5 5 4 4 4 4 5\n4 4 5 5 4 4 4 4 5\n5 2 5 5 2 5 5 2 5\n5 4 4 4 4 5 5 4 4\n5 4 4 4 4 5 5 4 4\n5 2 5 5 2 5 5 2 5\n4 4 5 5 4 4 4 4 5", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n1 8 1\n6 5 8\n5 6 8\nOutput:\n8 6 5 5 6 8 8 6 5\n8 5 6 6 5 8 8 5 6\n1 8 1 1 8 1 1 8 1\n1 8 1 1 8 1 1 8 1\n8 5 6 6 5 8 8 5 6\n8 6 5 5 6 8 8 6 5\n8 6 5 5 6 8 8 6 5\n8 5 6 6 5 8 8 5 6\n1 8 1 1 8 1 1 8 1\n\nExample 2:\n\nInput:\n6 7 8\n7 8 5\n8 5 8\nOutput:\n8 5 8 8 5 8 8 5 8\n5 8 7 7 8 5 5 8 7\n8 7 6 6 7 8 8 7 6\n8 7 6 6 7 8 8 7 6\n5 8 7 7 8 5 5 8 7\n8 5 8 8 5 8 8 5 8\n8 5 8 8 5 8 8 5 8\n5 8 7 7 8 5 5 8 7\n8 7 6 6 7 8 8 7 6\n\nExample 3:\n\nInput:\n5 9 1\n9 6 5\n6 9 1\nOutput:\n1 9 6 6 9 1 1 9 6\n5 6 9 9 6 5 5 6 9\n1 9 5 5 9 1 1 9 5\n1 9 5 5 9 1 1 9 5\n5 6 9 9 6 5 5 6 9\n1 9 6 6 9 1 1 9 6\n1 9 6 6 9 1 1 9 6\n5 6 9 9 6 5 5 6 9\n1 9 5 5 9 1 1 9 5\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n5 4 4\n5 2 5\n4 4 5\n", "answer": "5 4 4 4 4 5 5 4 4\n5 2 5 5 2 5 5 2 5\n4 4 5 5 4 4 4 4 5\n4 4 5 5 4 4 4 4 5\n5 2 5 5 2 5 5 2 5\n5 4 4 4 4 5 5 4 4\n5 4 4 4 4 5 5 4 4\n5 2 5 5 2 5 5 2 5\n4 4 5 5 4 4 4 4 5", "metadata": {"source_dataset": "arc_agi", "source_index": 290, "input": [[5, 4, 4], [5, 2, 5], [4, 4, 5]], "output": [[5, 4, 4, 4, 4, 5, 5, 4, 4], [5, 2, 5, 5, 2, 5, 5, 2, 5], [4, 4, 5, 5, 4, 4, 4, 4, 5], [4, 4, 5, 5, 4, 4, 4, 4, 5], [5, 2, 5, 5, 2, 5, 5, 2, 5], [5, 4, 4, 4, 4, 5, 5, 4, 4], [5, 4, 4, 4, 4, 5, 5, 4, 4], [5, 2, 5, 5, 2, 5, 5, 2, 5], [4, 4, 5, 5, 4, 4, 4, 4, 5]], "task_id": "c48954c1", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 290, "input": [[5, 4, 4], [5, 2, 5], [4, 4, 5]], "output": [[5, 4, 4, 4, 4, 5, 5, 4, 4], [5, 2, 5, 5, 2, 5, 5, 2, 5], [4, 4, 5, 5, 4, 4, 4, 4, 5], [4, 4, 5, 5, 4, 4, 4, 4, 5], [5, 2, 5, 5, 2, 5, 5, 2, 5], [5, 4, 4, 4, 4, 5, 5, 4, 4], [5, 4, 4, 4, 4, 5, 5, 4, 4], [5, 2, 5, 5, 2, 5, 5, 2, 5], [4, 4, 5, 5, 4, 4, 4, 4, 5]], "task_id": "c48954c1", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
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General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 2 8 8 8 8 8 8 8 8 8 Output: 8 8 8 8 8 8 2 2 8 8 8 8 8 8 8 2 2 8 8 8 8 8 8 8 2 2 8 8 8 8 8 8 8 2 2 8 8 8 8 8 8 8 8 2 7 8 8 8 8 8 8 8 8 2 7 8 8 8 8 8 8 8 2 2 8 8 8 8 8 8 8 2 2 8 8 8 8 8 8 8 8 2 7 8 8 8 8 8 8 8 2 2 8 8 8 8 8 8 8 8 Example 2: Input: 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 2 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 Output: 8 8 8 8 8 8 8 2 2 8 8 8 8 8 8 8 2 2 8 8 8 8 8 8 8 2 2 8 8 8 8 8 8 8 2 2 8 8 8 8 8 8 8 2 2 8 8 8 8 8 8 8 2 2 8 8 8 8 8 8 8 8 2 7 8 8 8 8 8 8 8 2 2 8 8 8 8 8 8 8 2 2 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 Example 3: Input: 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 2 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 Output: 8 8 8 8 8 8 8 8 2 2 8 8 8 8 8 8 8 2 2 8 8 8 8 8 8 8 2 2 8 8 8 8 8 8 8 2 2 8 8 8 8 8 8 8 2 2 8 8 8 8 8 8 8 2 2 8 8 8 8 8 8 8 2 2 8 8 8 8 8 8 8 2 2 8 8 8 8 8 8 8 2 2 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 Example 4: Input: 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 2 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 Output: 8 8 8 8 8 8 2 2 8 8 8 8 8 8 8 2 2 8 8 8 8 8 8 8 2 2 8 8 8 8 8 8 8 2 2 8 8 8 8 8 8 8 2 2 8 8 8 8 8 8 8 2 2 8 8 8 8 8 8 8 2 2 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 2 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "8 8 8 8 8 2 2 8 8 8\n8 8 8 8 2 2 8 8 8 8\n8 8 8 8 2 7 8 8 8 8\n8 8 8 2 2 8 8 8 8 8\n8 8 2 2 8 8 8 8 8 8\n8 8 2 7 8 8 8 8 8 8\n8 8 2 7 8 8 8 8 8 8\n8 2 2 8 8 8 8 8 8 8\n2 2 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n8 8 8 8 7 8 8 8 8 8\n8 8 8 8 7 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n8 8 7 8 8 8 8 8 8 8\n2 8 8 8 8 8 8 8 8 8\nOutput:\n8 8 8 8 8 8 2 2 8 8\n8 8 8 8 8 2 2 8 8 8\n8 8 8 8 2 2 8 8 8 8\n8 8 8 2 2 8 8 8 8 8\n8 8 8 2 7 8 8 8 8 8\n8 8 8 2 7 8 8 8 8 8\n8 8 2 2 8 8 8 8 8 8\n8 2 2 8 8 8 8 8 8 8\n8 2 7 8 8 8 8 8 8 8\n2 2 8 8 8 8 8 8 8 8\n\nExample 2:\n\nInput:\n8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n8 8 8 7 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n2 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\nOutput:\n8 8 8 8 8 8 8 2 2 8\n8 8 8 8 8 8 2 2 8 8\n8 8 8 8 8 2 2 8 8 8\n8 8 8 8 2 2 8 8 8 8\n8 8 8 2 2 8 8 8 8 8\n8 8 2 2 8 8 8 8 8 8\n8 8 2 7 8 8 8 8 8 8\n8 2 2 8 8 8 8 8 8 8\n2 2 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n\nExample 3:\n\nInput:\n8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n2 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\nOutput:\n8 8 8 8 8 8 8 8 2 2\n8 8 8 8 8 8 8 2 2 8\n8 8 8 8 8 8 2 2 8 8\n8 8 8 8 8 2 2 8 8 8\n8 8 8 8 2 2 8 8 8 8\n8 8 8 2 2 8 8 8 8 8\n8 8 2 2 8 8 8 8 8 8\n8 2 2 8 8 8 8 8 8 8\n2 2 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n\nExample 4:\n\nInput:\n8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n2 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\nOutput:\n8 8 8 8 8 8 2 2 8 8\n8 8 8 8 8 2 2 8 8 8\n8 8 8 8 2 2 8 8 8 8\n8 8 8 2 2 8 8 8 8 8\n8 8 2 2 8 8 8 8 8 8\n8 2 2 8 8 8 8 8 8 8\n2 2 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 7 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n8 8 8 7 8 8 8 8 8 8\n8 8 8 7 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n2 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n", "answer": "8 8 8 8 8 2 2 8 8 8\n8 8 8 8 2 2 8 8 8 8\n8 8 8 8 2 7 8 8 8 8\n8 8 8 2 2 8 8 8 8 8\n8 8 2 2 8 8 8 8 8 8\n8 8 2 7 8 8 8 8 8 8\n8 8 2 7 8 8 8 8 8 8\n8 2 2 8 8 8 8 8 8 8\n2 2 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8", "metadata": {"source_dataset": "arc_agi", "source_index": 291, "input": [[8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 7, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 7, 8, 8, 8, 8, 8, 8], [8, 8, 8, 7, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [2, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8]], "output": [[8, 8, 8, 8, 8, 2, 2, 8, 8, 8], [8, 8, 8, 8, 2, 2, 8, 8, 8, 8], [8, 8, 8, 8, 2, 7, 8, 8, 8, 8], [8, 8, 8, 2, 2, 8, 8, 8, 8, 8], [8, 8, 2, 2, 8, 8, 8, 8, 8, 8], [8, 8, 2, 7, 8, 8, 8, 8, 8, 8], [8, 8, 2, 7, 8, 8, 8, 8, 8, 8], [8, 2, 2, 8, 8, 8, 8, 8, 8, 8], [2, 2, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8]], "task_id": "69889d6e", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 291, "input": [[8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 7, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 7, 8, 8, 8, 8, 8, 8], [8, 8, 8, 7, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [2, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8]], "output": [[8, 8, 8, 8, 8, 2, 2, 8, 8, 8], [8, 8, 8, 8, 2, 2, 8, 8, 8, 8], [8, 8, 8, 8, 2, 7, 8, 8, 8, 8], [8, 8, 8, 2, 2, 8, 8, 8, 8, 8], [8, 8, 2, 2, 8, 8, 8, 8, 8, 8], [8, 8, 2, 7, 8, 8, 8, 8, 8, 8], [8, 8, 2, 7, 8, 8, 8, 8, 8, 8], [8, 2, 2, 8, 8, 8, 8, 8, 8, 8], [2, 2, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8]], "task_id": "69889d6e", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
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General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 5 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 5 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 Output: 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 1 1 1 1 1 1 1 5 1 1 1 1 1 1 1 1 1 1 1 1 1 5 1 1 1 1 1 1 1 1 1 1 1 1 1 5 1 1 1 1 1 1 1 1 1 1 1 1 1 5 1 1 1 1 1 1 1 1 1 1 1 1 1 5 1 1 1 1 1 1 9 5 9 9 9 9 9 9 9 9 9 5 9 9 9 5 9 9 9 9 9 9 9 9 9 5 9 9 9 5 9 9 9 9 9 9 9 9 9 5 9 9 9 5 9 9 9 9 9 9 9 9 9 5 9 9 9 5 9 9 9 9 9 9 9 9 9 5 9 9 9 5 9 9 9 9 9 9 9 9 9 5 9 9 Example 2: Input: 7 7 7 7 7 7 9 9 9 9 9 9 9 1 1 7 7 7 7 7 7 9 9 9 9 9 9 9 1 1 7 7 7 7 7 7 9 9 9 9 9 9 9 1 1 7 7 7 7 7 7 9 9 9 9 9 9 9 1 1 7 7 7 7 7 7 9 9 9 5 9 9 9 1 1 7 7 7 7 7 7 9 9 9 9 9 9 9 1 1 7 7 7 7 7 7 9 9 9 9 9 9 9 1 1 7 7 7 7 7 7 9 9 9 9 9 9 9 1 1 7 7 7 7 7 7 9 9 9 9 9 9 9 1 1 7 7 5 7 7 7 9 9 9 9 9 9 9 1 1 7 7 7 7 7 7 9 9 9 9 9 9 9 1 1 7 7 7 7 7 7 9 9 9 9 9 9 9 1 1 7 7 7 7 7 7 9 9 9 9 9 9 9 1 1 7 7 7 7 7 7 9 9 9 9 9 5 9 1 1 7 7 7 7 7 7 9 9 9 9 9 9 9 1 1 7 7 7 7 7 7 9 9 9 9 9 9 9 1 1 7 7 7 7 7 7 9 9 9 9 9 9 9 1 1 7 7 7 7 7 7 9 9 9 9 9 9 9 1 1 7 7 7 7 7 7 9 9 9 9 9 9 9 1 1 Output: 7 7 7 7 7 7 9 9 9 9 9 9 9 1 1 7 7 7 7 7 7 9 9 9 9 9 9 9 1 1 7 7 7 7 7 7 9 9 9 9 9 9 9 1 1 7 7 7 7 7 7 9 9 9 9 9 9 9 1 1 7 7 7 7 7 7 5 5 5 5 5 5 5 1 1 7 7 7 7 7 7 9 9 9 9 9 9 9 1 1 7 7 7 7 7 7 9 9 9 9 9 9 9 1 1 7 7 7 7 7 7 9 9 9 9 9 9 9 1 1 7 7 7 7 7 7 9 9 9 9 9 9 9 1 1 5 5 5 5 5 5 9 9 9 9 9 9 9 1 1 7 7 7 7 7 7 9 9 9 9 9 9 9 1 1 7 7 7 7 7 7 9 9 9 9 9 9 9 1 1 7 7 7 7 7 7 9 9 9 9 9 9 9 1 1 7 7 7 7 7 7 5 5 5 5 5 5 5 1 1 7 7 7 7 7 7 9 9 9 9 9 9 9 1 1 7 7 7 7 7 7 9 9 9 9 9 9 9 1 1 7 7 7 7 7 7 9 9 9 9 9 9 9 1 1 7 7 7 7 7 7 9 9 9 9 9 9 9 1 1 7 7 7 7 7 7 9 9 9 9 9 9 9 1 1 Example 3: Input: 8 8 8 6 6 6 6 6 7 7 7 7 7 8 8 8 6 6 6 6 6 7 7 7 7 7 8 8 8 6 6 6 6 6 7 7 7 7 7 8 8 8 6 6 6 6 6 7 7 5 7 7 8 8 8 6 6 6 6 6 7 7 7 7 7 8 8 8 6 6 5 6 6 7 7 7 7 7 8 8 8 6 6 6 6 6 7 7 7 7 7 8 5 8 6 6 6 6 6 7 7 7 7 7 8 8 8 6 6 6 6 6 7 7 7 7 7 8 8 8 6 6 6 6 6 7 7 7 7 7 8 8 8 6 6 6 6 6 7 7 7 7 7 8 8 8 6 6 6 6 6 7 5 7 7 7 8 8 8 6 6 6 6 6 7 7 7 7 7 8 8 8 6 6 6 6 6 7 7 7 7 7 8 8 8 6 6 6 6 6 7 7 7 7 7 Output: 8 8 8 6 6 6 6 6 7 7 7 7 7 8 8 8 6 6 6 6 6 7 7 7 7 7 8 8 8 6 6 6 6 6 7 7 7 7 7 8 8 8 6 6 6 6 6 5 5 5 5 5 8 8 8 6 6 6 6 6 7 7 7 7 7 8 8 8 5 5 5 5 5 7 7 7 7 7 8 8 8 6 6 6 6 6 7 7 7 7 7 5 5 5 6 6 6 6 6 7 7 7 7 7 8 8 8 6 6 6 6 6 7 7 7 7 7 8 8 8 6 6 6 6 6 7 7 7 7 7 8 8 8 6 6 6 6 6 7 7 7 7 7 8 8 8 6 6 6 6 6 5 5 5 5 5 8 8 8 6 6 6 6 6 7 7 7 7 7 8 8 8 6 6 6 6 6 7 7 7 7 7 8 8 8 6 6 6 6 6 7 7 7 7 7 Example 4: Input: 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Output: 6 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 5 0 0 0 0 0 0 0 0 0 0 0 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 6 6 6 6 9 9 9 9 9 0 0 0 0 7 7 7 7 6 5 6 6 9 9 9 9 9 0 0 0 0 7 7 7 7 6 6 6 6 9 9 9 9 9 0 0 0 0 7 7 7 7 6 6 6 6 9 9 9 9 9 0 0 0 0 7 7 7 7 6 6 6 6 9 9 9 9 9 0 0 0 0 7 7 7 5 6 6 6 6 9 9 9 9 9 0 0 0 0 7 7 7 7 6 6 6 6 9 9 9 9 9 0 5 0 0 7 7 7 7 6 6 6 6 9 9 9 9 9 0 0 0 0 7 7 7 7 6 6 6 6 9 9 9 9 9 0 0 0 0 7 7 7 7 6 6 6 6 9 9 9 9 9 0 0 0 0 7 7 7 7 6 6 6 6 9 9 5 9 9 0 0 0 0 7 7 7 7 6 6 6 6 9 9 9 9 9 0 0 0 0 7 7 7 7 6 6 6 6 9 9 9 9 9 0 0 0 0 7 5 7 7 6 6 6 6 9 9 9 9 9 0 0 0 0 7 7 7 7 6 6 6 6 9 9 9 9 9 0 0 0 0 7 7 7 7
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "6 6 6 6 9 9 9 9 9 0 0 0 0 7 7 7 7\n5 5 5 5 9 9 9 9 9 0 0 0 0 7 7 7 7\n6 6 6 6 9 9 9 9 9 0 0 0 0 7 7 7 7\n6 6 6 6 9 9 9 9 9 0 0 0 0 7 7 7 7\n6 6 6 6 9 9 9 9 9 0 0 0 0 5 5 5 5\n6 6 6 6 9 9 9 9 9 0 0 0 0 7 7 7 7\n6 6 6 6 9 9 9 9 9 5 5 5 5 7 7 7 7\n6 6 6 6 9 9 9 9 9 0 0 0 0 7 7 7 7\n6 6 6 6 9 9 9 9 9 0 0 0 0 7 7 7 7\n6 6 6 6 9 9 9 9 9 0 0 0 0 7 7 7 7\n6 6 6 6 5 5 5 5 5 0 0 0 0 7 7 7 7\n6 6 6 6 9 9 9 9 9 0 0 0 0 7 7 7 7\n6 6 6 6 9 9 9 9 9 0 0 0 0 5 5 5 5\n6 6 6 6 9 9 9 9 9 0 0 0 0 7 7 7 7\n6 6 6 6 9 9 9 9 9 0 0 0 0 7 7 7 7", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6\n1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 5 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1\n9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 5 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 5 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9\nOutput:\n6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6\n1 1 1 1 1 1 1 5 1 1 1 1 1 1\n1 1 1 1 1 1 1 5 1 1 1 1 1 1\n1 1 1 1 1 1 1 5 1 1 1 1 1 1\n1 1 1 1 1 1 1 5 1 1 1 1 1 1\n1 1 1 1 1 1 1 5 1 1 1 1 1 1\n9 5 9 9 9 9 9 9 9 9 9 5 9 9\n9 5 9 9 9 9 9 9 9 9 9 5 9 9\n9 5 9 9 9 9 9 9 9 9 9 5 9 9\n9 5 9 9 9 9 9 9 9 9 9 5 9 9\n9 5 9 9 9 9 9 9 9 9 9 5 9 9\n9 5 9 9 9 9 9 9 9 9 9 5 9 9\n\nExample 2:\n\nInput:\n7 7 7 7 7 7 9 9 9 9 9 9 9 1 1\n7 7 7 7 7 7 9 9 9 9 9 9 9 1 1\n7 7 7 7 7 7 9 9 9 9 9 9 9 1 1\n7 7 7 7 7 7 9 9 9 9 9 9 9 1 1\n7 7 7 7 7 7 9 9 9 5 9 9 9 1 1\n7 7 7 7 7 7 9 9 9 9 9 9 9 1 1\n7 7 7 7 7 7 9 9 9 9 9 9 9 1 1\n7 7 7 7 7 7 9 9 9 9 9 9 9 1 1\n7 7 7 7 7 7 9 9 9 9 9 9 9 1 1\n7 7 5 7 7 7 9 9 9 9 9 9 9 1 1\n7 7 7 7 7 7 9 9 9 9 9 9 9 1 1\n7 7 7 7 7 7 9 9 9 9 9 9 9 1 1\n7 7 7 7 7 7 9 9 9 9 9 9 9 1 1\n7 7 7 7 7 7 9 9 9 9 9 5 9 1 1\n7 7 7 7 7 7 9 9 9 9 9 9 9 1 1\n7 7 7 7 7 7 9 9 9 9 9 9 9 1 1\n7 7 7 7 7 7 9 9 9 9 9 9 9 1 1\n7 7 7 7 7 7 9 9 9 9 9 9 9 1 1\n7 7 7 7 7 7 9 9 9 9 9 9 9 1 1\nOutput:\n7 7 7 7 7 7 9 9 9 9 9 9 9 1 1\n7 7 7 7 7 7 9 9 9 9 9 9 9 1 1\n7 7 7 7 7 7 9 9 9 9 9 9 9 1 1\n7 7 7 7 7 7 9 9 9 9 9 9 9 1 1\n7 7 7 7 7 7 5 5 5 5 5 5 5 1 1\n7 7 7 7 7 7 9 9 9 9 9 9 9 1 1\n7 7 7 7 7 7 9 9 9 9 9 9 9 1 1\n7 7 7 7 7 7 9 9 9 9 9 9 9 1 1\n7 7 7 7 7 7 9 9 9 9 9 9 9 1 1\n5 5 5 5 5 5 9 9 9 9 9 9 9 1 1\n7 7 7 7 7 7 9 9 9 9 9 9 9 1 1\n7 7 7 7 7 7 9 9 9 9 9 9 9 1 1\n7 7 7 7 7 7 9 9 9 9 9 9 9 1 1\n7 7 7 7 7 7 5 5 5 5 5 5 5 1 1\n7 7 7 7 7 7 9 9 9 9 9 9 9 1 1\n7 7 7 7 7 7 9 9 9 9 9 9 9 1 1\n7 7 7 7 7 7 9 9 9 9 9 9 9 1 1\n7 7 7 7 7 7 9 9 9 9 9 9 9 1 1\n7 7 7 7 7 7 9 9 9 9 9 9 9 1 1\n\nExample 3:\n\nInput:\n8 8 8 6 6 6 6 6 7 7 7 7 7\n8 8 8 6 6 6 6 6 7 7 7 7 7\n8 8 8 6 6 6 6 6 7 7 7 7 7\n8 8 8 6 6 6 6 6 7 7 5 7 7\n8 8 8 6 6 6 6 6 7 7 7 7 7\n8 8 8 6 6 5 6 6 7 7 7 7 7\n8 8 8 6 6 6 6 6 7 7 7 7 7\n8 5 8 6 6 6 6 6 7 7 7 7 7\n8 8 8 6 6 6 6 6 7 7 7 7 7\n8 8 8 6 6 6 6 6 7 7 7 7 7\n8 8 8 6 6 6 6 6 7 7 7 7 7\n8 8 8 6 6 6 6 6 7 5 7 7 7\n8 8 8 6 6 6 6 6 7 7 7 7 7\n8 8 8 6 6 6 6 6 7 7 7 7 7\n8 8 8 6 6 6 6 6 7 7 7 7 7\nOutput:\n8 8 8 6 6 6 6 6 7 7 7 7 7\n8 8 8 6 6 6 6 6 7 7 7 7 7\n8 8 8 6 6 6 6 6 7 7 7 7 7\n8 8 8 6 6 6 6 6 5 5 5 5 5\n8 8 8 6 6 6 6 6 7 7 7 7 7\n8 8 8 5 5 5 5 5 7 7 7 7 7\n8 8 8 6 6 6 6 6 7 7 7 7 7\n5 5 5 6 6 6 6 6 7 7 7 7 7\n8 8 8 6 6 6 6 6 7 7 7 7 7\n8 8 8 6 6 6 6 6 7 7 7 7 7\n8 8 8 6 6 6 6 6 7 7 7 7 7\n8 8 8 6 6 6 6 6 5 5 5 5 5\n8 8 8 6 6 6 6 6 7 7 7 7 7\n8 8 8 6 6 6 6 6 7 7 7 7 7\n8 8 8 6 6 6 6 6 7 7 7 7 7\n\nExample 4:\n\nInput:\n6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 5 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6\n0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 5 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0\nOutput:\n6 6 6 6 6 6 6 6 6 6 5 6 6 6\n6 6 6 6 6 6 6 6 6 6 5 6 6 6\n6 6 6 6 6 6 6 6 6 6 5 6 6 6\n6 6 6 6 6 6 6 6 6 6 5 6 6 6\n6 6 6 6 6 6 6 6 6 6 5 6 6 6\n0 0 5 0 0 0 0 0 0 0 0 0 0 0\n0 0 5 0 0 0 0 0 0 0 0 0 0 0\n0 0 5 0 0 0 0 0 0 0 0 0 0 0\n0 0 5 0 0 0 0 0 0 0 0 0 0 0\n0 0 5 0 0 0 0 0 0 0 0 0 0 0\n0 0 5 0 0 0 0 0 0 0 0 0 0 0\n0 0 5 0 0 0 0 0 0 0 0 0 0 0\n0 0 5 0 0 0 0 0 0 0 0 0 0 0\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n6 6 6 6 9 9 9 9 9 0 0 0 0 7 7 7 7\n6 5 6 6 9 9 9 9 9 0 0 0 0 7 7 7 7\n6 6 6 6 9 9 9 9 9 0 0 0 0 7 7 7 7\n6 6 6 6 9 9 9 9 9 0 0 0 0 7 7 7 7\n6 6 6 6 9 9 9 9 9 0 0 0 0 7 7 7 5\n6 6 6 6 9 9 9 9 9 0 0 0 0 7 7 7 7\n6 6 6 6 9 9 9 9 9 0 5 0 0 7 7 7 7\n6 6 6 6 9 9 9 9 9 0 0 0 0 7 7 7 7\n6 6 6 6 9 9 9 9 9 0 0 0 0 7 7 7 7\n6 6 6 6 9 9 9 9 9 0 0 0 0 7 7 7 7\n6 6 6 6 9 9 5 9 9 0 0 0 0 7 7 7 7\n6 6 6 6 9 9 9 9 9 0 0 0 0 7 7 7 7\n6 6 6 6 9 9 9 9 9 0 0 0 0 7 5 7 7\n6 6 6 6 9 9 9 9 9 0 0 0 0 7 7 7 7\n6 6 6 6 9 9 9 9 9 0 0 0 0 7 7 7 7\n", "answer": "6 6 6 6 9 9 9 9 9 0 0 0 0 7 7 7 7\n5 5 5 5 9 9 9 9 9 0 0 0 0 7 7 7 7\n6 6 6 6 9 9 9 9 9 0 0 0 0 7 7 7 7\n6 6 6 6 9 9 9 9 9 0 0 0 0 7 7 7 7\n6 6 6 6 9 9 9 9 9 0 0 0 0 5 5 5 5\n6 6 6 6 9 9 9 9 9 0 0 0 0 7 7 7 7\n6 6 6 6 9 9 9 9 9 5 5 5 5 7 7 7 7\n6 6 6 6 9 9 9 9 9 0 0 0 0 7 7 7 7\n6 6 6 6 9 9 9 9 9 0 0 0 0 7 7 7 7\n6 6 6 6 9 9 9 9 9 0 0 0 0 7 7 7 7\n6 6 6 6 5 5 5 5 5 0 0 0 0 7 7 7 7\n6 6 6 6 9 9 9 9 9 0 0 0 0 7 7 7 7\n6 6 6 6 9 9 9 9 9 0 0 0 0 5 5 5 5\n6 6 6 6 9 9 9 9 9 0 0 0 0 7 7 7 7\n6 6 6 6 9 9 9 9 9 0 0 0 0 7 7 7 7", "metadata": {"source_dataset": "arc_agi", "source_index": 292, "input": [[6, 6, 6, 6, 9, 9, 9, 9, 9, 0, 0, 0, 0, 7, 7, 7, 7], [6, 5, 6, 6, 9, 9, 9, 9, 9, 0, 0, 0, 0, 7, 7, 7, 7], [6, 6, 6, 6, 9, 9, 9, 9, 9, 0, 0, 0, 0, 7, 7, 7, 7], [6, 6, 6, 6, 9, 9, 9, 9, 9, 0, 0, 0, 0, 7, 7, 7, 7], [6, 6, 6, 6, 9, 9, 9, 9, 9, 0, 0, 0, 0, 7, 7, 7, 5], [6, 6, 6, 6, 9, 9, 9, 9, 9, 0, 0, 0, 0, 7, 7, 7, 7], [6, 6, 6, 6, 9, 9, 9, 9, 9, 0, 5, 0, 0, 7, 7, 7, 7], [6, 6, 6, 6, 9, 9, 9, 9, 9, 0, 0, 0, 0, 7, 7, 7, 7], [6, 6, 6, 6, 9, 9, 9, 9, 9, 0, 0, 0, 0, 7, 7, 7, 7], [6, 6, 6, 6, 9, 9, 9, 9, 9, 0, 0, 0, 0, 7, 7, 7, 7], [6, 6, 6, 6, 9, 9, 5, 9, 9, 0, 0, 0, 0, 7, 7, 7, 7], [6, 6, 6, 6, 9, 9, 9, 9, 9, 0, 0, 0, 0, 7, 7, 7, 7], [6, 6, 6, 6, 9, 9, 9, 9, 9, 0, 0, 0, 0, 7, 5, 7, 7], [6, 6, 6, 6, 9, 9, 9, 9, 9, 0, 0, 0, 0, 7, 7, 7, 7], [6, 6, 6, 6, 9, 9, 9, 9, 9, 0, 0, 0, 0, 7, 7, 7, 7]], "output": [[6, 6, 6, 6, 9, 9, 9, 9, 9, 0, 0, 0, 0, 7, 7, 7, 7], [5, 5, 5, 5, 9, 9, 9, 9, 9, 0, 0, 0, 0, 7, 7, 7, 7], [6, 6, 6, 6, 9, 9, 9, 9, 9, 0, 0, 0, 0, 7, 7, 7, 7], [6, 6, 6, 6, 9, 9, 9, 9, 9, 0, 0, 0, 0, 7, 7, 7, 7], [6, 6, 6, 6, 9, 9, 9, 9, 9, 0, 0, 0, 0, 5, 5, 5, 5], [6, 6, 6, 6, 9, 9, 9, 9, 9, 0, 0, 0, 0, 7, 7, 7, 7], [6, 6, 6, 6, 9, 9, 9, 9, 9, 5, 5, 5, 5, 7, 7, 7, 7], [6, 6, 6, 6, 9, 9, 9, 9, 9, 0, 0, 0, 0, 7, 7, 7, 7], [6, 6, 6, 6, 9, 9, 9, 9, 9, 0, 0, 0, 0, 7, 7, 7, 7], [6, 6, 6, 6, 9, 9, 9, 9, 9, 0, 0, 0, 0, 7, 7, 7, 7], [6, 6, 6, 6, 5, 5, 5, 5, 5, 0, 0, 0, 0, 7, 7, 7, 7], [6, 6, 6, 6, 9, 9, 9, 9, 9, 0, 0, 0, 0, 7, 7, 7, 7], [6, 6, 6, 6, 9, 9, 9, 9, 9, 0, 0, 0, 0, 5, 5, 5, 5], [6, 6, 6, 6, 9, 9, 9, 9, 9, 0, 0, 0, 0, 7, 7, 7, 7], [6, 6, 6, 6, 9, 9, 9, 9, 9, 0, 0, 0, 0, 7, 7, 7, 7]], "task_id": "855e0971", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 292, "input": [[6, 6, 6, 6, 9, 9, 9, 9, 9, 0, 0, 0, 0, 7, 7, 7, 7], [6, 5, 6, 6, 9, 9, 9, 9, 9, 0, 0, 0, 0, 7, 7, 7, 7], [6, 6, 6, 6, 9, 9, 9, 9, 9, 0, 0, 0, 0, 7, 7, 7, 7], [6, 6, 6, 6, 9, 9, 9, 9, 9, 0, 0, 0, 0, 7, 7, 7, 7], [6, 6, 6, 6, 9, 9, 9, 9, 9, 0, 0, 0, 0, 7, 7, 7, 5], [6, 6, 6, 6, 9, 9, 9, 9, 9, 0, 0, 0, 0, 7, 7, 7, 7], [6, 6, 6, 6, 9, 9, 9, 9, 9, 0, 5, 0, 0, 7, 7, 7, 7], [6, 6, 6, 6, 9, 9, 9, 9, 9, 0, 0, 0, 0, 7, 7, 7, 7], [6, 6, 6, 6, 9, 9, 9, 9, 9, 0, 0, 0, 0, 7, 7, 7, 7], [6, 6, 6, 6, 9, 9, 9, 9, 9, 0, 0, 0, 0, 7, 7, 7, 7], [6, 6, 6, 6, 9, 9, 5, 9, 9, 0, 0, 0, 0, 7, 7, 7, 7], [6, 6, 6, 6, 9, 9, 9, 9, 9, 0, 0, 0, 0, 7, 7, 7, 7], [6, 6, 6, 6, 9, 9, 9, 9, 9, 0, 0, 0, 0, 7, 5, 7, 7], [6, 6, 6, 6, 9, 9, 9, 9, 9, 0, 0, 0, 0, 7, 7, 7, 7], [6, 6, 6, 6, 9, 9, 9, 9, 9, 0, 0, 0, 0, 7, 7, 7, 7]], "output": [[6, 6, 6, 6, 9, 9, 9, 9, 9, 0, 0, 0, 0, 7, 7, 7, 7], [5, 5, 5, 5, 9, 9, 9, 9, 9, 0, 0, 0, 0, 7, 7, 7, 7], [6, 6, 6, 6, 9, 9, 9, 9, 9, 0, 0, 0, 0, 7, 7, 7, 7], [6, 6, 6, 6, 9, 9, 9, 9, 9, 0, 0, 0, 0, 7, 7, 7, 7], [6, 6, 6, 6, 9, 9, 9, 9, 9, 0, 0, 0, 0, 5, 5, 5, 5], [6, 6, 6, 6, 9, 9, 9, 9, 9, 0, 0, 0, 0, 7, 7, 7, 7], [6, 6, 6, 6, 9, 9, 9, 9, 9, 5, 5, 5, 5, 7, 7, 7, 7], [6, 6, 6, 6, 9, 9, 9, 9, 9, 0, 0, 0, 0, 7, 7, 7, 7], [6, 6, 6, 6, 9, 9, 9, 9, 9, 0, 0, 0, 0, 7, 7, 7, 7], [6, 6, 6, 6, 9, 9, 9, 9, 9, 0, 0, 0, 0, 7, 7, 7, 7], [6, 6, 6, 6, 5, 5, 5, 5, 5, 0, 0, 0, 0, 7, 7, 7, 7], [6, 6, 6, 6, 9, 9, 9, 9, 9, 0, 0, 0, 0, 7, 7, 7, 7], [6, 6, 6, 6, 9, 9, 9, 9, 9, 0, 0, 0, 0, 5, 5, 5, 5], [6, 6, 6, 6, 9, 9, 9, 9, 9, 0, 0, 0, 0, 7, 7, 7, 7], [6, 6, 6, 6, 9, 9, 9, 9, 9, 0, 0, 0, 0, 7, 7, 7, 7]], "task_id": "855e0971", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null
General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 5 5 1 1 1 1 1 1 1 5 1 5 1 1 1 1 1 1 1 1 2 5 1 1 5 5 5 5 1 5 1 5 1 1 5 1 1 5 1 5 5 5 1 1 1 4 1 5 1 1 1 1 1 1 5 1 1 5 1 1 1 1 1 1 5 5 5 5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Output: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 5 5 5 1 1 1 1 1 1 2 5 2 5 1 1 1 1 1 1 2 2 2 5 1 4 5 5 5 5 2 5 2 5 1 4 5 4 4 5 2 5 5 5 1 4 4 4 4 5 1 1 1 1 1 4 5 4 4 5 1 1 1 1 1 4 5 5 5 5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Example 2: Input: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 5 5 1 1 1 1 1 1 1 5 1 5 1 1 1 1 1 1 1 1 6 5 1 5 5 5 5 1 1 5 1 5 1 5 1 1 5 1 1 5 5 5 1 1 0 1 5 1 1 1 1 1 1 5 1 1 5 1 1 1 1 1 1 5 5 5 5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Output: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 6 5 5 5 1 1 1 1 1 1 6 5 6 5 1 1 1 1 1 1 6 6 6 5 0 5 5 5 5 1 6 5 6 5 0 5 0 0 5 1 6 5 5 5 0 0 0 0 5 1 1 1 1 1 0 5 0 0 5 1 1 1 1 1 0 5 5 5 5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Example 3: Input: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 5 5 5 5 1 1 1 1 1 5 1 1 1 5 1 1 1 1 1 1 1 4 1 5 1 1 1 1 1 5 1 1 1 5 1 1 1 1 1 5 5 5 5 5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Output: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4 5 5 5 5 5 1 1 1 1 4 5 4 4 4 5 1 1 1 1 4 4 4 4 4 5 1 1 1 1 4 5 4 4 4 5 1 1 1 1 4 5 5 5 5 5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 5 5 5 1 1 1 1 1 1 5 1 1 5 1 1 1 1 1 1 1 3 1 5 1 1 1 1 1 1 5 1 1 5 1 5 5 5 5 1 5 5 5 5 1 5 1 1 5 1 1 1 1 1 1 1 8 1 5 1 1 1 1 1 1 5 1 1 5 1 1 1 1 1 1 5 5 5 5 1 1 1 1 1
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 3 5 5 5 5\n1 1 1 1 1 3 5 3 3 5\n1 1 1 1 1 3 3 3 3 5\n1 1 1 1 1 3 5 3 3 5\n8 5 5 5 5 3 5 5 5 5\n8 5 8 8 5 1 1 1 1 1\n8 8 8 8 5 1 1 1 1 1\n8 5 8 8 5 1 1 1 1 1\n8 5 5 5 5 1 1 1 1 1", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 5 5 5\n1 1 1 1 1 1 1 5 1 5\n1 1 1 1 1 1 1 1 2 5\n1 1 5 5 5 5 1 5 1 5\n1 1 5 1 1 5 1 5 5 5\n1 1 1 4 1 5 1 1 1 1\n1 1 5 1 1 5 1 1 1 1\n1 1 5 5 5 5 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\nOutput:\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 2 5 5 5\n1 1 1 1 1 1 2 5 2 5\n1 1 1 1 1 1 2 2 2 5\n1 4 5 5 5 5 2 5 2 5\n1 4 5 4 4 5 2 5 5 5\n1 4 4 4 4 5 1 1 1 1\n1 4 5 4 4 5 1 1 1 1\n1 4 5 5 5 5 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n\nExample 2:\n\nInput:\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 5 5 5\n1 1 1 1 1 1 1 5 1 5\n1 1 1 1 1 1 1 1 6 5\n1 5 5 5 5 1 1 5 1 5\n1 5 1 1 5 1 1 5 5 5\n1 1 0 1 5 1 1 1 1 1\n1 5 1 1 5 1 1 1 1 1\n1 5 5 5 5 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\nOutput:\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 6 5 5 5\n1 1 1 1 1 1 6 5 6 5\n1 1 1 1 1 1 6 6 6 5\n0 5 5 5 5 1 6 5 6 5\n0 5 0 0 5 1 6 5 5 5\n0 0 0 0 5 1 1 1 1 1\n0 5 0 0 5 1 1 1 1 1\n0 5 5 5 5 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n\nExample 3:\n\nInput:\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n1 5 5 5 5 5 1 1 1 1\n1 5 1 1 1 5 1 1 1 1\n1 1 1 4 1 5 1 1 1 1\n1 5 1 1 1 5 1 1 1 1\n1 5 5 5 5 5 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\nOutput:\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n4 5 5 5 5 5 1 1 1 1\n4 5 4 4 4 5 1 1 1 1\n4 4 4 4 4 5 1 1 1 1\n4 5 4 4 4 5 1 1 1 1\n4 5 5 5 5 5 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 5 5 5 5\n1 1 1 1 1 1 5 1 1 5\n1 1 1 1 1 1 1 3 1 5\n1 1 1 1 1 1 5 1 1 5\n1 5 5 5 5 1 5 5 5 5\n1 5 1 1 5 1 1 1 1 1\n1 1 8 1 5 1 1 1 1 1\n1 5 1 1 5 1 1 1 1 1\n1 5 5 5 5 1 1 1 1 1\n", "answer": "1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 3 5 5 5 5\n1 1 1 1 1 3 5 3 3 5\n1 1 1 1 1 3 3 3 3 5\n1 1 1 1 1 3 5 3 3 5\n8 5 5 5 5 3 5 5 5 5\n8 5 8 8 5 1 1 1 1 1\n8 8 8 8 5 1 1 1 1 1\n8 5 8 8 5 1 1 1 1 1\n8 5 5 5 5 1 1 1 1 1", "metadata": {"source_dataset": "arc_agi", "source_index": 293, "input": [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 5, 5, 5, 5], [1, 1, 1, 1, 1, 1, 5, 1, 1, 5], [1, 1, 1, 1, 1, 1, 1, 3, 1, 5], [1, 1, 1, 1, 1, 1, 5, 1, 1, 5], [1, 5, 5, 5, 5, 1, 5, 5, 5, 5], [1, 5, 1, 1, 5, 1, 1, 1, 1, 1], [1, 1, 8, 1, 5, 1, 1, 1, 1, 1], [1, 5, 1, 1, 5, 1, 1, 1, 1, 1], [1, 5, 5, 5, 5, 1, 1, 1, 1, 1]], "output": [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 3, 5, 5, 5, 5], [1, 1, 1, 1, 1, 3, 5, 3, 3, 5], [1, 1, 1, 1, 1, 3, 3, 3, 3, 5], [1, 1, 1, 1, 1, 3, 5, 3, 3, 5], [8, 5, 5, 5, 5, 3, 5, 5, 5, 5], [8, 5, 8, 8, 5, 1, 1, 1, 1, 1], [8, 8, 8, 8, 5, 1, 1, 1, 1, 1], [8, 5, 8, 8, 5, 1, 1, 1, 1, 1], [8, 5, 5, 5, 5, 1, 1, 1, 1, 1]], "task_id": "444801d8", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 293, "input": [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 5, 5, 5, 5], [1, 1, 1, 1, 1, 1, 5, 1, 1, 5], [1, 1, 1, 1, 1, 1, 1, 3, 1, 5], [1, 1, 1, 1, 1, 1, 5, 1, 1, 5], [1, 5, 5, 5, 5, 1, 5, 5, 5, 5], [1, 5, 1, 1, 5, 1, 1, 1, 1, 1], [1, 1, 8, 1, 5, 1, 1, 1, 1, 1], [1, 5, 1, 1, 5, 1, 1, 1, 1, 1], [1, 5, 5, 5, 5, 1, 1, 1, 1, 1]], "output": [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 3, 5, 5, 5, 5], [1, 1, 1, 1, 1, 3, 5, 3, 3, 5], [1, 1, 1, 1, 1, 3, 3, 3, 3, 5], [1, 1, 1, 1, 1, 3, 5, 3, 3, 5], [8, 5, 5, 5, 5, 3, 5, 5, 5, 5], [8, 5, 8, 8, 5, 1, 1, 1, 1, 1], [8, 8, 8, 8, 5, 1, 1, 1, 1, 1], [8, 5, 8, 8, 5, 1, 1, 1, 1, 1], [8, 5, 5, 5, 5, 1, 1, 1, 1, 1]], "task_id": "444801d8", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
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General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 9 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 9 2 2 2 0 0 0 0 9 2 2 2 0 2 2 2 9 2 2 9 2 2 2 2 0 0 0 0 2 2 9 2 0 2 2 2 2 2 2 2 2 2 9 2 0 0 0 0 9 2 2 2 0 2 2 9 2 2 2 2 2 2 2 2 0 0 0 0 2 2 9 2 0 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 9 2 0 0 2 2 2 2 2 2 2 2 2 2 2 2 0 2 9 2 2 2 0 0 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 2 0 0 2 2 9 2 2 2 2 2 2 2 2 2 0 2 2 9 2 2 0 0 2 2 2 2 2 9 2 2 9 2 2 2 0 2 2 2 2 9 0 0 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 2 0 0 2 2 2 9 2 2 2 2 2 2 2 2 0 2 2 2 2 2 0 0 2 2 2 2 2 2 2 2 2 2 2 2 0 2 9 2 2 9 0 0 2 2 2 2 2 2 2 2 9 2 2 2 0 2 2 2 2 2 0 0 2 9 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Output: 2 2 2 2 2 2 2 2 9 2 2 2 2 2 2 2 2 9 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 9 2 2 9 2 2 2 2 2 2 2 2 2 2 9 2 2 2 2 2 2 9 2 2 2 2 2 2 2 2 2 2 2 9 2 2 9 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 Example 2: Input: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 9 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 0 0 0 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 2 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 9 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 2 2 9 0 0 0 2 2 2 2 2 2 2 2 0 0 0 0 2 2 9 2 2 0 0 0 2 2 2 9 2 2 2 2 0 0 0 0 2 2 2 2 2 0 0 0 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 9 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 9 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 9 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Output: 2 2 2 2 2 2 9 2 9 2 2 2 9 2 2 2 9 2 2 9 2 2 9 2 2 2 2 2 2 2 Example 3: Input: 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 9 2 2 2 2 0 0 2 2 2 2 9 2 2 2 2 0 0 2 2 2 2 2 9 2 0 0 2 9 2 2 2 2 2 9 2 0 0 2 9 2 2 2 2 2 0 0 2 2 2 2 2 2 2 2 2 0 0 2 2 2 9 2 2 2 0 0 2 2 2 9 2 2 2 2 9 0 0 2 2 2 2 2 2 2 0 0 9 2 2 2 2 2 2 2 2 0 0 2 2 2 2 9 2 2 0 0 2 2 9 2 2 2 9 2 2 0 0 2 2 9 2 2 2 2 0 0 2 2 2 2 2 2 2 2 2 0 0 2 2 2 2 2 2 2 0 0 2 2 2 9 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 9 2 2 2 2 2 2 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 0 0 2 2 2 2 2 2 2 2 2 0 0 0 2 9 2 2 0 0 0 0 2 2 2 2 2 9 2 9 2 0 0 0 2 2 2 2 0 0 0 0 2 9 2 2 2 2 2 2 2 0 0 0 2 2 2 2 0 0 0 0 2 2 2 9 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 9 2 2 0 0 0 0 0 0 0 0 0 0 0 9 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 Output: 2 2 2 2 9 2 2 2 2 2 9 2 2 2 2 2 9 2 2 2 2 2 2 2 2 2 2 2 2 2 9 2 2 2 2 9 9 2 2 2 2 2 2 2 2 2 2 9 2 2 2 9 2 2 2 2 2 2 2 2 2 2 2 2 2 2 9 2 2 2 2 2 2 9 2 2 2 2 2 2 9 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 2 2 9 2 2 2 2 2 2 2 9 2 2 2 2 2 9 2 0 0 2 2 2 2 2 2 2 9 2 2 2 2 2 2 2 2 2 2 0 0 2 2 2 9 2 2 2 2 2 2 2 2 9 2 2 2 2 2 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 2 2 2 0 0 2 2 2 2 2 9 2 2 2 0 0 0 0 0 0 2 2 9 0 0 2 2 9 2 2 2 2 9 2 0 0 0 0 0 0 2 2 2 0 0 2 2 2 2 2 9 2 2 2 0 0 2 2 2 0 2 2 2 0 0 9 2 2 2 2 2 2 9 2 0 0 2 2 2 0 2 2 2 0 0 2 2 2 9 2 2 2 2 2 0 0 2 9 2 0 2 9 2 0 0 2 2 2 2 2 2 2 2 2 0 0 2 2 2 0 2 2 2 0 0 9 2 2 2 2 2 9 2 2 0 0 2 2 9 0 2 2 2 0 0 2 2 2 9 2 2 2 2 2 0 0 2 2 2 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 0 0 2 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "2 2 2 2 2 2 2 2 2\n2 2 2 2 2 9 2 2 2\n2 2 9 2 2 2 2 9 2\n2 2 2 2 2 9 2 2 2\n9 2 2 2 2 2 2 9 2\n2 2 2 9 2 2 2 2 2\n2 2 2 2 2 2 2 2 2\n9 2 2 2 2 2 9 2 2\n2 2 2 9 2 2 2 2 2\n2 2 2 2 2 2 2 2 2", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n9 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n2 2 2 2 9 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2\n2 2 9 2 2 2 0 0 0 0 9 2 2 2 0 2 2 2 9 2\n2 9 2 2 2 2 0 0 0 0 2 2 9 2 0 2 2 2 2 2\n2 2 2 2 9 2 0 0 0 0 9 2 2 2 0 2 2 9 2 2\n2 2 2 2 2 2 0 0 0 0 2 2 9 2 0 2 2 2 2 2\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 9 2\n0 0 2 2 2 2 2 2 2 2 2 2 2 2 0 2 9 2 2 2\n0 0 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 2\n0 0 2 2 9 2 2 2 2 2 2 2 2 2 0 2 2 9 2 2\n0 0 2 2 2 2 2 9 2 2 9 2 2 2 0 2 2 2 2 9\n0 0 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 2\n0 0 2 2 2 9 2 2 2 2 2 2 2 2 0 2 2 2 2 2\n0 0 2 2 2 2 2 2 2 2 2 2 2 2 0 2 9 2 2 9\n0 0 2 2 2 2 2 2 2 2 9 2 2 2 0 2 2 2 2 2\n0 0 2 9 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 2\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\nOutput:\n2 2 2 2 2\n2 2 2 9 2\n2 2 2 2 2\n2 2 9 2 2\n2 2 2 2 2\n2 2 2 2 2\n2 2 2 9 2\n2 9 2 2 2\n2 2 2 2 2\n2 2 9 2 2\n2 2 2 2 9\n2 2 2 2 2\n2 2 2 2 2\n2 9 2 2 9\n2 2 2 2 2\n2 2 2 2 2\n2 2 2 2 2\n\nExample 2:\n\nInput:\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 2 2 2 2 9 2 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 2 2 9 2 2 2 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 2 9 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 2 2 2 2 2 2 0 0 0 0 2 2 2 2 2 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 2 9 2 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 9 2 2 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 2 2 9 0 0\n0 2 2 2 2 2 2 2 2 0 0 0 0 2 2 9 2 2 0 0\n0 2 2 2 9 2 2 2 2 0 0 0 0 2 2 2 2 2 0 0\n0 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0\n0 2 2 2 2 2 9 2 2 0 0 0 0 0 0 0 0 0 0 0\n0 2 9 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0\n0 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0\n0 2 2 2 9 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0\n0 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\nOutput:\n2 2 2 2 2\n2 9 2 9 2\n2 2 9 2 2\n2 9 2 2 9\n2 2 9 2 2\n2 2 2 2 2\n\nExample 3:\n\nInput:\n0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2\n0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 9 2 2 2 2\n0 0 2 2 2 2 9 2 2 2 2 0 0 2 2 2 2 2 9 2\n0 0 2 9 2 2 2 2 2 9 2 0 0 2 9 2 2 2 2 2\n0 0 2 2 2 2 2 2 2 2 2 0 0 2 2 2 9 2 2 2\n0 0 2 2 2 9 2 2 2 2 9 0 0 2 2 2 2 2 2 2\n0 0 9 2 2 2 2 2 2 2 2 0 0 2 2 2 2 9 2 2\n0 0 2 2 9 2 2 2 9 2 2 0 0 2 2 9 2 2 2 2\n0 0 2 2 2 2 2 2 2 2 2 0 0 2 2 2 2 2 2 2\n0 0 2 2 2 9 2 2 2 2 2 0 0 0 0 0 0 0 0 0\n0 0 2 9 2 2 2 2 2 2 9 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 9 2 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0\n0 0 0 2 2 2 2 2 2 2 2 2 0 0 0 2 9 2 2 0\n0 0 0 2 2 2 2 2 9 2 9 2 0 0 0 2 2 2 2 0\n0 0 0 2 9 2 2 2 2 2 2 2 0 0 0 2 2 2 2 0\n0 0 0 2 2 2 9 2 2 2 2 2 0 0 0 0 0 0 0 0\n0 0 0 2 2 2 2 2 2 9 2 2 0 0 0 0 0 0 0 0\n0 0 0 9 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0\nOutput:\n2 2 2 2 9 2 2 2 2\n2 9 2 2 2 2 2 9 2\n2 2 2 2 2 2 2 2 2\n2 2 2 9 2 2 2 2 9\n9 2 2 2 2 2 2 2 2\n2 2 9 2 2 2 9 2 2\n2 2 2 2 2 2 2 2 2\n2 2 2 9 2 2 2 2 2\n2 9 2 2 2 2 2 2 9\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0\n0 2 2 9 2 2 2 2 2 2 2 9 2 2 2 2 2 9 2 0\n0 2 2 2 2 2 2 2 9 2 2 2 2 2 2 2 2 2 2 0\n0 2 2 2 9 2 2 2 2 2 2 2 2 9 2 2 2 2 2 0\n0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 0 0 0 0 0\n0 2 2 2 0 0 2 2 2 2 2 9 2 2 2 0 0 0 0 0\n0 2 2 9 0 0 2 2 9 2 2 2 2 9 2 0 0 0 0 0\n0 2 2 2 0 0 2 2 2 2 2 9 2 2 2 0 0 2 2 2\n0 2 2 2 0 0 9 2 2 2 2 2 2 9 2 0 0 2 2 2\n0 2 2 2 0 0 2 2 2 9 2 2 2 2 2 0 0 2 9 2\n0 2 9 2 0 0 2 2 2 2 2 2 2 2 2 0 0 2 2 2\n0 2 2 2 0 0 9 2 2 2 2 2 9 2 2 0 0 2 2 9\n0 2 2 2 0 0 2 2 2 9 2 2 2 2 2 0 0 2 2 2\n0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 0 0 2 9 2\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 9\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2\n", "answer": "2 2 2 2 2 2 2 2 2\n2 2 2 2 2 9 2 2 2\n2 2 9 2 2 2 2 9 2\n2 2 2 2 2 9 2 2 2\n9 2 2 2 2 2 2 9 2\n2 2 2 9 2 2 2 2 2\n2 2 2 2 2 2 2 2 2\n9 2 2 2 2 2 9 2 2\n2 2 2 9 2 2 2 2 2\n2 2 2 2 2 2 2 2 2", "metadata": {"source_dataset": "arc_agi", "source_index": 294, "input": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0], [0, 2, 2, 9, 2, 2, 2, 2, 2, 2, 2, 9, 2, 2, 2, 2, 2, 9, 2, 0], [0, 2, 2, 2, 2, 2, 2, 2, 9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0], [0, 2, 2, 2, 9, 2, 2, 2, 2, 2, 2, 2, 2, 9, 2, 2, 2, 2, 2, 0], [0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0], [0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 9, 2, 2, 2, 0, 0, 0, 0, 0], [0, 2, 2, 9, 0, 0, 2, 2, 9, 2, 2, 2, 2, 9, 2, 0, 0, 0, 0, 0], [0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 9, 2, 2, 2, 0, 0, 2, 2, 2], [0, 2, 2, 2, 0, 0, 9, 2, 2, 2, 2, 2, 2, 9, 2, 0, 0, 2, 2, 2], [0, 2, 2, 2, 0, 0, 2, 2, 2, 9, 2, 2, 2, 2, 2, 0, 0, 2, 9, 2], [0, 2, 9, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2], [0, 2, 2, 2, 0, 0, 9, 2, 2, 2, 2, 2, 9, 2, 2, 0, 0, 2, 2, 9], [0, 2, 2, 2, 0, 0, 2, 2, 2, 9, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2], [0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 9, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2]], "output": [[2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 9, 2, 2, 2], [2, 2, 9, 2, 2, 2, 2, 9, 2], [2, 2, 2, 2, 2, 9, 2, 2, 2], [9, 2, 2, 2, 2, 2, 2, 9, 2], [2, 2, 2, 9, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [9, 2, 2, 2, 2, 2, 9, 2, 2], [2, 2, 2, 9, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2]], "task_id": "8efcae92", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 294, "input": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0], [0, 2, 2, 9, 2, 2, 2, 2, 2, 2, 2, 9, 2, 2, 2, 2, 2, 9, 2, 0], [0, 2, 2, 2, 2, 2, 2, 2, 9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0], [0, 2, 2, 2, 9, 2, 2, 2, 2, 2, 2, 2, 2, 9, 2, 2, 2, 2, 2, 0], [0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0], [0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 9, 2, 2, 2, 0, 0, 0, 0, 0], [0, 2, 2, 9, 0, 0, 2, 2, 9, 2, 2, 2, 2, 9, 2, 0, 0, 0, 0, 0], [0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 9, 2, 2, 2, 0, 0, 2, 2, 2], [0, 2, 2, 2, 0, 0, 9, 2, 2, 2, 2, 2, 2, 9, 2, 0, 0, 2, 2, 2], [0, 2, 2, 2, 0, 0, 2, 2, 2, 9, 2, 2, 2, 2, 2, 0, 0, 2, 9, 2], [0, 2, 9, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2], [0, 2, 2, 2, 0, 0, 9, 2, 2, 2, 2, 2, 9, 2, 2, 0, 0, 2, 2, 9], [0, 2, 2, 2, 0, 0, 2, 2, 2, 9, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2], [0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 9, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2]], "output": [[2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 9, 2, 2, 2], [2, 2, 9, 2, 2, 2, 2, 9, 2], [2, 2, 2, 2, 2, 9, 2, 2, 2], [9, 2, 2, 2, 2, 2, 2, 9, 2], [2, 2, 2, 9, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [9, 2, 2, 2, 2, 2, 9, 2, 2], [2, 2, 2, 9, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2]], "task_id": "8efcae92", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
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General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 8 9 9 9 9 5 9 9 9 5 9 8 8 9 9 9 5 9 9 5 5 5 8 9 9 9 9 9 9 9 5 9 9 9 9 5 9 9 9 9 9 9 9 9 9 9 5 5 9 3 9 9 9 2 9 9 9 5 9 9 3 9 9 2 2 2 9 9 9 9 9 9 9 9 9 9 9 9 9 0 9 9 9 9 9 9 9 9 9 0 0 0 9 9 9 5 9 9 9 9 0 9 9 9 9 5 5 5 9 9 9 9 9 9 9 9 9 9 9 9 9 Output: 8 9 9 9 9 3 9 9 9 0 9 8 8 9 9 9 3 9 9 0 0 0 8 9 9 9 9 9 9 9 0 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 8 8 9 3 9 9 9 2 9 9 9 8 9 9 3 9 9 2 2 2 9 9 9 9 9 9 9 9 9 9 9 9 9 0 9 9 9 9 9 9 9 9 9 0 0 0 9 9 9 2 9 9 9 9 0 9 9 9 9 2 2 2 9 9 9 9 9 9 9 9 9 9 9 9 9 Example 2: Input: 9 9 9 9 9 9 9 9 9 9 9 5 9 9 5 5 5 9 9 5 5 9 9 5 9 5 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 8 9 9 9 9 5 5 9 9 9 9 9 0 9 5 9 9 9 9 9 0 0 9 9 3 3 3 9 9 9 9 9 9 3 9 3 Output: 9 9 9 9 9 9 9 9 9 9 9 0 9 9 3 3 3 9 9 0 0 9 9 3 9 3 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 8 9 9 9 9 8 8 9 9 9 9 9 0 9 8 9 9 9 9 9 0 0 9 9 3 3 3 9 9 9 9 9 9 3 9 3 Example 3: Input: 9 9 9 9 5 9 9 9 9 5 5 5 9 9 9 9 5 9 9 4 9 9 9 9 4 4 4 9 9 9 9 4 9 9 9 9 Output: 9 9 9 9 4 9 9 9 9 4 4 4 9 9 9 9 4 9 9 4 9 9 9 9 4 4 4 9 9 9 9 4 9 9 9 9 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 9 9 9 9 9 4 4 9 9 9 9 9 9 9 9 5 5 9 4 4 4 9 9 5 9 9 9 9 5 5 5 9 4 9 9 5 5 5 9 9 9 9 5 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 5 9 9 9 9 9 9 9 9 9 9 9 5 5 5 9 9 6 9 9 9 1 9 9 9 9 5 9 9 9 6 6 9 1 1 1 9 9 9 9 9 9 9 6 9 9 9 9 9 9 9 9 5 9 9 9 9 9 9 9 3 9 9 9 9 5 5 9 9 9 9 9 3 3 3 9 9 9 5 9 9 9 5 9 9 9 3 9 9 9 9 9 9 9 9 5 9 4 9 9 9 9 9 9 9 9 9 9 9 9 4
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "9 9 9 9 9 4 4 9 9 9 9 9 9\n9 9 4 4 9 4 4 4 9 9 1 9 9\n9 9 4 4 4 9 4 9 9 1 1 1 9\n9 9 9 4 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 3 9 9 9 9 9 9\n9 9 9 9 9 3 3 3 9 9 6 9 9\n9 1 9 9 9 9 3 9 9 9 6 6 9\n1 1 1 9 9 9 9 9 9 9 6 9 9\n9 9 9 9 9 9 6 9 9 9 9 9 9\n9 3 9 9 9 9 6 6 9 9 9 9 9\n3 3 3 9 9 9 6 9 9 9 4 9 9\n9 3 9 9 9 9 9 9 9 9 4 9 4\n9 9 9 9 9 9 9 9 9 9 9 9 4", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n8 9 9 9 9 5 9 9 9 5 9\n8 8 9 9 9 5 9 9 5 5 5\n8 9 9 9 9 9 9 9 5 9 9\n9 9 5 9 9 9 9 9 9 9 9\n9 9 5 5 9 3 9 9 9 2 9\n9 9 5 9 9 3 9 9 2 2 2\n9 9 9 9 9 9 9 9 9 9 9\n9 9 0 9 9 9 9 9 9 9 9\n9 0 0 0 9 9 9 5 9 9 9\n9 0 9 9 9 9 5 5 5 9 9\n9 9 9 9 9 9 9 9 9 9 9\nOutput:\n8 9 9 9 9 3 9 9 9 0 9\n8 8 9 9 9 3 9 9 0 0 0\n8 9 9 9 9 9 9 9 0 9 9\n9 9 8 9 9 9 9 9 9 9 9\n9 9 8 8 9 3 9 9 9 2 9\n9 9 8 9 9 3 9 9 2 2 2\n9 9 9 9 9 9 9 9 9 9 9\n9 9 0 9 9 9 9 9 9 9 9\n9 0 0 0 9 9 9 2 9 9 9\n9 0 9 9 9 9 2 2 2 9 9\n9 9 9 9 9 9 9 9 9 9 9\n\nExample 2:\n\nInput:\n9 9 9 9 9 9 9 9 9\n9 9 5 9 9 5 5 5 9\n9 5 5 9 9 5 9 5 9\n9 9 9 9 9 9 9 9 9\n8 8 9 9 9 9 9 9 9\n8 9 9 9 9 5 5 9 9\n9 9 9 0 9 5 9 9 9\n9 9 0 0 9 9 3 3 3\n9 9 9 9 9 9 3 9 3\nOutput:\n9 9 9 9 9 9 9 9 9\n9 9 0 9 9 3 3 3 9\n9 0 0 9 9 3 9 3 9\n9 9 9 9 9 9 9 9 9\n8 8 9 9 9 9 9 9 9\n8 9 9 9 9 8 8 9 9\n9 9 9 0 9 8 9 9 9\n9 9 0 0 9 9 3 3 3\n9 9 9 9 9 9 3 9 3\n\nExample 3:\n\nInput:\n9 9 9 9 5 9\n9 9 9 5 5 5\n9 9 9 9 5 9\n9 4 9 9 9 9\n4 4 4 9 9 9\n9 4 9 9 9 9\nOutput:\n9 9 9 9 4 9\n9 9 9 4 4 4\n9 9 9 9 4 9\n9 4 9 9 9 9\n4 4 4 9 9 9\n9 4 9 9 9 9\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n9 9 9 9 9 4 4 9 9 9 9 9 9\n9 9 5 5 9 4 4 4 9 9 5 9 9\n9 9 5 5 5 9 4 9 9 5 5 5 9\n9 9 9 5 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 5 9 9 9 9 9 9\n9 9 9 9 9 5 5 5 9 9 6 9 9\n9 1 9 9 9 9 5 9 9 9 6 6 9\n1 1 1 9 9 9 9 9 9 9 6 9 9\n9 9 9 9 9 9 5 9 9 9 9 9 9\n9 3 9 9 9 9 5 5 9 9 9 9 9\n3 3 3 9 9 9 5 9 9 9 5 9 9\n9 3 9 9 9 9 9 9 9 9 5 9 4\n9 9 9 9 9 9 9 9 9 9 9 9 4\n", "answer": "9 9 9 9 9 4 4 9 9 9 9 9 9\n9 9 4 4 9 4 4 4 9 9 1 9 9\n9 9 4 4 4 9 4 9 9 1 1 1 9\n9 9 9 4 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 3 9 9 9 9 9 9\n9 9 9 9 9 3 3 3 9 9 6 9 9\n9 1 9 9 9 9 3 9 9 9 6 6 9\n1 1 1 9 9 9 9 9 9 9 6 9 9\n9 9 9 9 9 9 6 9 9 9 9 9 9\n9 3 9 9 9 9 6 6 9 9 9 9 9\n3 3 3 9 9 9 6 9 9 9 4 9 9\n9 3 9 9 9 9 9 9 9 9 4 9 4\n9 9 9 9 9 9 9 9 9 9 9 9 4", "metadata": {"source_dataset": "arc_agi", "source_index": 295, "input": [[9, 9, 9, 9, 9, 4, 4, 9, 9, 9, 9, 9, 9], [9, 9, 5, 5, 9, 4, 4, 4, 9, 9, 5, 9, 9], [9, 9, 5, 5, 5, 9, 4, 9, 9, 5, 5, 5, 9], [9, 9, 9, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 5, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 5, 5, 5, 9, 9, 6, 9, 9], [9, 1, 9, 9, 9, 9, 5, 9, 9, 9, 6, 6, 9], [1, 1, 1, 9, 9, 9, 9, 9, 9, 9, 6, 9, 9], [9, 9, 9, 9, 9, 9, 5, 9, 9, 9, 9, 9, 9], [9, 3, 9, 9, 9, 9, 5, 5, 9, 9, 9, 9, 9], [3, 3, 3, 9, 9, 9, 5, 9, 9, 9, 5, 9, 9], [9, 3, 9, 9, 9, 9, 9, 9, 9, 9, 5, 9, 4], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4]], "output": [[9, 9, 9, 9, 9, 4, 4, 9, 9, 9, 9, 9, 9], [9, 9, 4, 4, 9, 4, 4, 4, 9, 9, 1, 9, 9], [9, 9, 4, 4, 4, 9, 4, 9, 9, 1, 1, 1, 9], [9, 9, 9, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 3, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 3, 3, 3, 9, 9, 6, 9, 9], [9, 1, 9, 9, 9, 9, 3, 9, 9, 9, 6, 6, 9], [1, 1, 1, 9, 9, 9, 9, 9, 9, 9, 6, 9, 9], [9, 9, 9, 9, 9, 9, 6, 9, 9, 9, 9, 9, 9], [9, 3, 9, 9, 9, 9, 6, 6, 9, 9, 9, 9, 9], [3, 3, 3, 9, 9, 9, 6, 9, 9, 9, 4, 9, 9], [9, 3, 9, 9, 9, 9, 9, 9, 9, 9, 4, 9, 4], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4]], "task_id": "2a5f8217", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 295, "input": [[9, 9, 9, 9, 9, 4, 4, 9, 9, 9, 9, 9, 9], [9, 9, 5, 5, 9, 4, 4, 4, 9, 9, 5, 9, 9], [9, 9, 5, 5, 5, 9, 4, 9, 9, 5, 5, 5, 9], [9, 9, 9, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 5, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 5, 5, 5, 9, 9, 6, 9, 9], [9, 1, 9, 9, 9, 9, 5, 9, 9, 9, 6, 6, 9], [1, 1, 1, 9, 9, 9, 9, 9, 9, 9, 6, 9, 9], [9, 9, 9, 9, 9, 9, 5, 9, 9, 9, 9, 9, 9], [9, 3, 9, 9, 9, 9, 5, 5, 9, 9, 9, 9, 9], [3, 3, 3, 9, 9, 9, 5, 9, 9, 9, 5, 9, 9], [9, 3, 9, 9, 9, 9, 9, 9, 9, 9, 5, 9, 4], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4]], "output": [[9, 9, 9, 9, 9, 4, 4, 9, 9, 9, 9, 9, 9], [9, 9, 4, 4, 9, 4, 4, 4, 9, 9, 1, 9, 9], [9, 9, 4, 4, 4, 9, 4, 9, 9, 1, 1, 1, 9], [9, 9, 9, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 3, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 3, 3, 3, 9, 9, 6, 9, 9], [9, 1, 9, 9, 9, 9, 3, 9, 9, 9, 6, 6, 9], [1, 1, 1, 9, 9, 9, 9, 9, 9, 9, 6, 9, 9], [9, 9, 9, 9, 9, 9, 6, 9, 9, 9, 9, 9, 9], [9, 3, 9, 9, 9, 9, 6, 6, 9, 9, 9, 9, 9], [3, 3, 3, 9, 9, 9, 6, 9, 9, 9, 4, 9, 9], [9, 3, 9, 9, 9, 9, 9, 9, 9, 9, 4, 9, 4], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4]], "task_id": "2a5f8217", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
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General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 8 8 8 8 8 8 8 8 8 8 8 8 4 8 8 8 8 8 8 8 8 8 8 8 8 Output: 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 3 8 8 8 8 3 8 8 8 8 3 8 9 9 4 9 9 9 9 4 9 9 9 9 4 9 9 8 3 8 8 8 8 3 8 8 8 8 3 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 3 8 8 8 8 3 8 8 8 8 3 8 9 9 4 9 9 9 9 4 9 9 9 9 4 9 9 8 3 8 8 8 8 3 8 8 8 8 3 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 3 8 8 8 8 3 8 8 8 8 3 8 9 9 4 9 9 9 9 4 9 9 9 9 4 9 9 8 3 8 8 8 8 3 8 8 8 8 3 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 Example 2: Input: 8 7 8 8 8 8 8 8 Output: 9 7 9 9 9 7 9 9 9 7 9 9 3 8 3 8 3 8 3 8 3 8 3 8 9 7 9 9 9 7 9 9 9 7 9 9 3 8 3 8 3 8 3 8 3 8 3 8 9 7 9 9 9 7 9 9 9 7 9 9 3 8 8 8 3 8 8 8 3 8 8 8 Example 3: Input: 8 8 8 8 6 8 8 8 8 Output: 8 8 3 8 8 3 8 8 3 9 6 9 9 6 9 9 6 9 3 8 8 3 8 8 3 8 8 8 8 3 8 8 3 8 8 3 9 6 9 9 6 9 9 6 9 3 8 8 3 8 8 3 8 8 8 8 3 8 8 3 8 8 3 9 6 9 9 6 9 9 6 9 3 8 8 3 8 8 3 8 8 Example 4: Input: 8 8 8 8 8 8 8 8 8 2 8 8 8 8 8 8 8 8 8 2 8 8 8 2 Output: 8 8 8 8 3 8 8 8 8 8 3 8 8 8 8 8 3 8 9 9 9 2 9 9 9 9 9 2 9 9 9 9 9 2 9 9 8 8 3 8 8 8 3 8 3 8 8 8 3 8 3 8 8 8 9 2 9 9 9 2 9 2 9 9 9 2 9 2 9 9 9 2 3 8 8 8 3 8 3 8 8 8 3 8 3 8 8 8 3 8 9 9 9 2 9 9 9 9 9 2 9 9 9 9 9 2 9 9 8 8 3 8 8 8 3 8 3 8 8 8 3 8 3 8 8 8 9 2 9 9 9 2 9 2 9 9 9 2 9 2 9 9 9 2 3 8 8 8 3 8 3 8 8 8 3 8 3 8 8 8 3 8 9 9 9 2 9 9 9 9 9 2 9 9 9 9 9 2 9 9 8 8 3 8 8 8 3 8 3 8 8 8 3 8 3 8 8 8 9 2 9 9 9 2 9 2 9 9 9 2 9 2 9 9 9 2 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 8 8 4 8 8 8 8 8 8
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "9 9 4 9 9 4 9 9 4\n8 3 8 8 3 8 8 3 8\n8 8 8 3 8 8 3 8 8\n9 9 4 9 9 4 9 9 4\n8 3 8 8 3 8 8 3 8\n8 8 8 3 8 8 3 8 8\n9 9 4 9 9 4 9 9 4\n8 3 8 8 3 8 8 3 8\n8 8 8 8 8 8 8 8 8", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n8 8 8 8 8\n8 8 8 8 8\n8 8 4 8 8\n8 8 8 8 8\n8 8 8 8 8\nOutput:\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 3 8 8 8 8 3 8 8 8 8 3 8\n9 9 4 9 9 9 9 4 9 9 9 9 4 9 9\n8 3 8 8 8 8 3 8 8 8 8 3 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 3 8 8 8 8 3 8 8 8 8 3 8\n9 9 4 9 9 9 9 4 9 9 9 9 4 9 9\n8 3 8 8 8 8 3 8 8 8 8 3 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 3 8 8 8 8 3 8 8 8 8 3 8\n9 9 4 9 9 9 9 4 9 9 9 9 4 9 9\n8 3 8 8 8 8 3 8 8 8 8 3 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n\nExample 2:\n\nInput:\n8 7 8 8\n8 8 8 8\nOutput:\n9 7 9 9 9 7 9 9 9 7 9 9\n3 8 3 8 3 8 3 8 3 8 3 8\n9 7 9 9 9 7 9 9 9 7 9 9\n3 8 3 8 3 8 3 8 3 8 3 8\n9 7 9 9 9 7 9 9 9 7 9 9\n3 8 8 8 3 8 8 8 3 8 8 8\n\nExample 3:\n\nInput:\n8 8 8\n8 6 8\n8 8 8\nOutput:\n8 8 3 8 8 3 8 8 3\n9 6 9 9 6 9 9 6 9\n3 8 8 3 8 8 3 8 8\n8 8 3 8 8 3 8 8 3\n9 6 9 9 6 9 9 6 9\n3 8 8 3 8 8 3 8 8\n8 8 3 8 8 3 8 8 3\n9 6 9 9 6 9 9 6 9\n3 8 8 3 8 8 3 8 8\n\nExample 4:\n\nInput:\n8 8 8 8 8 8\n8 8 8 2 8 8\n8 8 8 8 8 8\n8 2 8 8 8 2\nOutput:\n8 8 8 8 3 8 8 8 8 8 3 8 8 8 8 8 3 8\n9 9 9 2 9 9 9 9 9 2 9 9 9 9 9 2 9 9\n8 8 3 8 8 8 3 8 3 8 8 8 3 8 3 8 8 8\n9 2 9 9 9 2 9 2 9 9 9 2 9 2 9 9 9 2\n3 8 8 8 3 8 3 8 8 8 3 8 3 8 8 8 3 8\n9 9 9 2 9 9 9 9 9 2 9 9 9 9 9 2 9 9\n8 8 3 8 8 8 3 8 3 8 8 8 3 8 3 8 8 8\n9 2 9 9 9 2 9 2 9 9 9 2 9 2 9 9 9 2\n3 8 8 8 3 8 3 8 8 8 3 8 3 8 8 8 3 8\n9 9 9 2 9 9 9 9 9 2 9 9 9 9 9 2 9 9\n8 8 3 8 8 8 3 8 3 8 8 8 3 8 3 8 8 8\n9 2 9 9 9 2 9 2 9 9 9 2 9 2 9 9 9 2\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n8 8 4\n8 8 8\n8 8 8\n", "answer": "9 9 4 9 9 4 9 9 4\n8 3 8 8 3 8 8 3 8\n8 8 8 3 8 8 3 8 8\n9 9 4 9 9 4 9 9 4\n8 3 8 8 3 8 8 3 8\n8 8 8 3 8 8 3 8 8\n9 9 4 9 9 4 9 9 4\n8 3 8 8 3 8 8 3 8\n8 8 8 8 8 8 8 8 8", "metadata": {"source_dataset": "arc_agi", "source_index": 296, "input": [[8, 8, 4], [8, 8, 8], [8, 8, 8]], "output": [[9, 9, 4, 9, 9, 4, 9, 9, 4], [8, 3, 8, 8, 3, 8, 8, 3, 8], [8, 8, 8, 3, 8, 8, 3, 8, 8], [9, 9, 4, 9, 9, 4, 9, 9, 4], [8, 3, 8, 8, 3, 8, 8, 3, 8], [8, 8, 8, 3, 8, 8, 3, 8, 8], [9, 9, 4, 9, 9, 4, 9, 9, 4], [8, 3, 8, 8, 3, 8, 8, 3, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8]], "task_id": "c92b942c", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 296, "input": [[8, 8, 4], [8, 8, 8], [8, 8, 8]], "output": [[9, 9, 4, 9, 9, 4, 9, 9, 4], [8, 3, 8, 8, 3, 8, 8, 3, 8], [8, 8, 8, 3, 8, 8, 3, 8, 8], [9, 9, 4, 9, 9, 4, 9, 9, 4], [8, 3, 8, 8, 3, 8, 8, 3, 8], [8, 8, 8, 3, 8, 8, 3, 8, 8], [9, 9, 4, 9, 9, 4, 9, 9, 4], [8, 3, 8, 8, 3, 8, 8, 3, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8]], "task_id": "c92b942c", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
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General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 0 0 0 0 0 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 0 0 0 0 0 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 6 6 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 6 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 6 6 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 Output: 0 0 0 0 0 0 6 6 8 0 0 8 8 6 0 0 6 6 8 0 0 0 0 0 0 Example 2: Input: 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 2 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 2 2 2 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 2 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 8 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 Output: 0 0 0 0 0 0 0 0 0 8 8 2 2 8 8 0 0 8 8 2 2 8 8 0 0 2 2 2 2 2 2 0 0 2 2 2 2 2 2 0 0 8 8 2 2 8 8 0 0 8 8 2 2 8 8 0 0 0 0 0 0 0 0 0 Example 3: Input: 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 8 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 8 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 Output: 0 0 0 0 0 0 0 0 0 0 0 0 5 5 5 5 5 5 8 8 8 0 0 5 5 5 5 5 5 8 8 8 0 0 5 5 5 5 5 5 8 8 8 0 0 5 5 5 8 8 8 5 5 5 0 0 5 5 5 8 8 8 5 5 5 0 0 5 5 5 8 8 8 5 5 5 0 0 5 5 5 8 8 8 8 8 8 0 0 5 5 5 8 8 8 8 8 8 0 0 5 5 5 8 8 8 8 8 8 0 0 0 0 0 0 0 0 0 0 0 0 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 1 8 1 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 1 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 8 8 8 8 1 1 1 1 8 8 8 8 0\n0 8 8 8 8 1 1 1 1 8 8 8 8 0\n0 8 8 8 8 1 1 1 1 8 8 8 8 0\n0 8 8 8 8 1 1 1 1 8 8 8 8 0\n0 1 1 1 1 8 8 8 8 1 1 1 1 0\n0 1 1 1 1 8 8 8 8 1 1 1 1 0\n0 1 1 1 1 8 8 8 8 1 1 1 1 0\n0 1 1 1 1 8 8 8 8 1 1 1 1 0\n0 8 8 8 8 1 1 1 1 8 8 8 8 0\n0 8 8 8 8 1 1 1 1 8 8 8 8 0\n0 8 8 8 8 1 1 1 1 8 8 8 8 0\n0 8 8 8 8 1 1 1 1 8 8 8 8 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 0 0 0 0 0 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 0 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 0 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 0 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 0 0 0 0 0 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 6 6 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 6 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 6 6 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\nOutput:\n0 0 0 0 0\n0 6 6 8 0\n0 8 8 6 0\n0 6 6 8 0\n0 0 0 0 0\n\nExample 2:\n\nInput:\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 2 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 2 2 2 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 2 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 0 0 0 0 0 0 0 0 8 8 8 8 8 8\n8 8 8 8 8 8 8 0 8 8 8 8 8 8 0 8 8 8 8 8 8\n8 8 8 8 8 8 8 0 8 8 8 8 8 8 0 8 8 8 8 8 8\n8 8 8 8 8 8 8 0 8 8 8 8 8 8 0 8 8 8 8 8 8\n8 8 8 8 8 8 8 0 8 8 8 8 8 8 0 8 8 8 8 8 8\n8 8 8 8 8 8 8 0 8 8 8 8 8 8 0 8 8 8 8 8 8\n8 8 8 8 8 8 8 0 8 8 8 8 8 8 0 8 8 8 8 8 8\n8 8 8 8 8 8 8 0 0 0 0 0 0 0 0 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\nOutput:\n0 0 0 0 0 0 0 0\n0 8 8 2 2 8 8 0\n0 8 8 2 2 8 8 0\n0 2 2 2 2 2 2 0\n0 2 2 2 2 2 2 0\n0 8 8 2 2 8 8 0\n0 8 8 2 2 8 8 0\n0 0 0 0 0 0 0 0\n\nExample 3:\n\nInput:\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 0 0 0 0 0 0 0 0 0 0 0 8 8\n8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 0 8 8\n8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 0 8 8\n8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 0 8 8\n8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 0 8 8\n8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 0 8 8\n8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 0 8 8\n8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 0 8 8\n8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 0 8 8\n8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 0 8 8\n8 8 8 8 8 8 8 8 8 8 8 0 0 0 0 0 0 0 0 0 0 0 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 5 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 5 8 5 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\nOutput:\n0 0 0 0 0 0 0 0 0 0 0\n0 5 5 5 5 5 5 8 8 8 0\n0 5 5 5 5 5 5 8 8 8 0\n0 5 5 5 5 5 5 8 8 8 0\n0 5 5 5 8 8 8 5 5 5 0\n0 5 5 5 8 8 8 5 5 5 0\n0 5 5 5 8 8 8 5 5 5 0\n0 5 5 5 8 8 8 8 8 8 0\n0 5 5 5 8 8 8 8 8 8 0\n0 5 5 5 8 8 8 8 8 8 0\n0 0 0 0 0 0 0 0 0 0 0\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 1 8 8 8 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8\n8 8 8 1 8 1 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8\n8 8 8 8 1 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8\n8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8\n8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8\n8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8\n8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8\n8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8\n8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8\n8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8\n8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8\n8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8\n8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8\n8 8 8 8 8 8 8 8 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n", "answer": "0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 8 8 8 8 1 1 1 1 8 8 8 8 0\n0 8 8 8 8 1 1 1 1 8 8 8 8 0\n0 8 8 8 8 1 1 1 1 8 8 8 8 0\n0 8 8 8 8 1 1 1 1 8 8 8 8 0\n0 1 1 1 1 8 8 8 8 1 1 1 1 0\n0 1 1 1 1 8 8 8 8 1 1 1 1 0\n0 1 1 1 1 8 8 8 8 1 1 1 1 0\n0 1 1 1 1 8 8 8 8 1 1 1 1 0\n0 8 8 8 8 1 1 1 1 8 8 8 8 0\n0 8 8 8 8 1 1 1 1 8 8 8 8 0\n0 8 8 8 8 1 1 1 1 8 8 8 8 0\n0 8 8 8 8 1 1 1 1 8 8 8 8 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0", "metadata": {"source_dataset": "arc_agi", "source_index": 297, "input": [[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 1, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8], [8, 8, 8, 1, 8, 1, 8, 8, 8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8], [8, 8, 8, 8, 1, 8, 8, 8, 8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]], "output": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 8, 8, 1, 1, 1, 1, 8, 8, 8, 8, 0], [0, 8, 8, 8, 8, 1, 1, 1, 1, 8, 8, 8, 8, 0], [0, 8, 8, 8, 8, 1, 1, 1, 1, 8, 8, 8, 8, 0], [0, 8, 8, 8, 8, 1, 1, 1, 1, 8, 8, 8, 8, 0], [0, 1, 1, 1, 1, 8, 8, 8, 8, 1, 1, 1, 1, 0], [0, 1, 1, 1, 1, 8, 8, 8, 8, 1, 1, 1, 1, 0], [0, 1, 1, 1, 1, 8, 8, 8, 8, 1, 1, 1, 1, 0], [0, 1, 1, 1, 1, 8, 8, 8, 8, 1, 1, 1, 1, 0], [0, 8, 8, 8, 8, 1, 1, 1, 1, 8, 8, 8, 8, 0], [0, 8, 8, 8, 8, 1, 1, 1, 1, 8, 8, 8, 8, 0], [0, 8, 8, 8, 8, 1, 1, 1, 1, 8, 8, 8, 8, 0], [0, 8, 8, 8, 8, 1, 1, 1, 1, 8, 8, 8, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], "task_id": "6b9890af", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 297, "input": [[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 1, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8], [8, 8, 8, 1, 8, 1, 8, 8, 8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8], [8, 8, 8, 8, 1, 8, 8, 8, 8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]], "output": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 8, 8, 1, 1, 1, 1, 8, 8, 8, 8, 0], [0, 8, 8, 8, 8, 1, 1, 1, 1, 8, 8, 8, 8, 0], [0, 8, 8, 8, 8, 1, 1, 1, 1, 8, 8, 8, 8, 0], [0, 8, 8, 8, 8, 1, 1, 1, 1, 8, 8, 8, 8, 0], [0, 1, 1, 1, 1, 8, 8, 8, 8, 1, 1, 1, 1, 0], [0, 1, 1, 1, 1, 8, 8, 8, 8, 1, 1, 1, 1, 0], [0, 1, 1, 1, 1, 8, 8, 8, 8, 1, 1, 1, 1, 0], [0, 1, 1, 1, 1, 8, 8, 8, 8, 1, 1, 1, 1, 0], [0, 8, 8, 8, 8, 1, 1, 1, 1, 8, 8, 8, 8, 0], [0, 8, 8, 8, 8, 1, 1, 1, 1, 8, 8, 8, 8, 0], [0, 8, 8, 8, 8, 1, 1, 1, 1, 8, 8, 8, 8, 0], [0, 8, 8, 8, 8, 1, 1, 1, 1, 8, 8, 8, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], "task_id": "6b9890af", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
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General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 7 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 7 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 7 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 Output: 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 8 8 8 9 9 9 8 8 8 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 8 8 8 9 9 9 8 8 8 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 Example 2: Input: 9 9 9 9 9 9 9 9 9 9 9 9 9 7 9 9 7 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 7 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 7 9 9 9 9 9 9 9 9 9 9 9 9 9 Output: 9 9 9 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 9 9 9 8 8 8 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 8 8 8 9 9 9 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 9 9 9 9 9 9 9 9 9 9 7 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 7 9 9 9 9 9 7 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 7 9 9 9 9 9 9 9 9 9 9
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "8 8 8 9 9 9 9 9 9\n8 8 8 9 9 9 9 9 9\n8 8 8 9 9 9 9 9 9\n8 8 8 9 9 9 8 8 8\n8 8 8 9 9 9 8 8 8\n8 8 8 9 9 9 8 8 8\n9 9 9 9 9 9 8 8 8\n9 9 9 9 9 9 8 8 8\n9 9 9 9 9 9 8 8 8", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 7 9\n9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9\n9 9 9 9 7 9 9 9 9\n9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9\n9 7 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9\nOutput:\n9 9 9 9 9 9 8 8 8\n9 9 9 9 9 9 8 8 8\n9 9 9 9 9 9 8 8 8\n9 9 9 8 8 8 9 9 9\n9 9 9 8 8 8 9 9 9\n9 9 9 8 8 8 9 9 9\n8 8 8 9 9 9 9 9 9\n8 8 8 9 9 9 9 9 9\n8 8 8 9 9 9 9 9 9\n\nExample 2:\n\nInput:\n9 9 9 9 9 9 9 9 9\n9 9 9 9 7 9 9 7 9\n9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9\n9 9 9 9 7 9 9 9 9\n9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9\n9 9 9 9 7 9 9 9 9\n9 9 9 9 9 9 9 9 9\nOutput:\n9 9 9 8 8 8 8 8 8\n9 9 9 8 8 8 8 8 8\n9 9 9 8 8 8 8 8 8\n9 9 9 8 8 8 9 9 9\n9 9 9 8 8 8 9 9 9\n9 9 9 8 8 8 9 9 9\n9 9 9 8 8 8 9 9 9\n9 9 9 8 8 8 9 9 9\n9 9 9 8 8 8 9 9 9\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n9 9 9 9 9 9 9 9 9\n9 7 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9\n9 7 9 9 9 9 9 7 9\n9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 7 9\n9 9 9 9 9 9 9 9 9\n", "answer": "8 8 8 9 9 9 9 9 9\n8 8 8 9 9 9 9 9 9\n8 8 8 9 9 9 9 9 9\n8 8 8 9 9 9 8 8 8\n8 8 8 9 9 9 8 8 8\n8 8 8 9 9 9 8 8 8\n9 9 9 9 9 9 8 8 8\n9 9 9 9 9 9 8 8 8\n9 9 9 9 9 9 8 8 8", "metadata": {"source_dataset": "arc_agi", "source_index": 298, "input": [[9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 7, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 7, 9, 9, 9, 9, 9, 7, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 7, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9]], "output": [[8, 8, 8, 9, 9, 9, 9, 9, 9], [8, 8, 8, 9, 9, 9, 9, 9, 9], [8, 8, 8, 9, 9, 9, 9, 9, 9], [8, 8, 8, 9, 9, 9, 8, 8, 8], [8, 8, 8, 9, 9, 9, 8, 8, 8], [8, 8, 8, 9, 9, 9, 8, 8, 8], [9, 9, 9, 9, 9, 9, 8, 8, 8], [9, 9, 9, 9, 9, 9, 8, 8, 8], [9, 9, 9, 9, 9, 9, 8, 8, 8]], "task_id": "ce22a75a", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 298, "input": [[9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 7, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 7, 9, 9, 9, 9, 9, 7, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 7, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9]], "output": [[8, 8, 8, 9, 9, 9, 9, 9, 9], [8, 8, 8, 9, 9, 9, 9, 9, 9], [8, 8, 8, 9, 9, 9, 9, 9, 9], [8, 8, 8, 9, 9, 9, 8, 8, 8], [8, 8, 8, 9, 9, 9, 8, 8, 8], [8, 8, 8, 9, 9, 9, 8, 8, 8], [9, 9, 9, 9, 9, 9, 8, 8, 8], [9, 9, 9, 9, 9, 9, 8, 8, 8], [9, 9, 9, 9, 9, 9, 8, 8, 8]], "task_id": "ce22a75a", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
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General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 2 9 5 9 9 9 9 2 9 9 9 5 9 9 2 9 9 5 5 5 9 9 9 5 2 9 9 9 5 2 5 2 9 9 9 5 9 9 9 5 5 5 9 5 9 9 9 5 9 9 9 9 9 9 9 5 9 5 9 9 9 9 9 9 9 9 9 9 9 9 2 9 9 9 9 9 9 9 9 2 9 9 9 9 5 9 9 9 9 9 2 5 9 9 9 9 5 9 9 Output: 2 Example 2: Input: 8 9 9 8 9 9 3 9 9 9 9 9 9 9 8 9 8 9 9 8 9 9 9 9 3 9 9 8 9 8 9 9 9 9 9 9 9 3 3 3 9 9 9 9 3 8 3 9 9 9 9 3 3 3 9 8 8 9 9 9 9 9 9 Output: 8 Example 3: Input: 5 9 9 9 5 9 7 7 7 9 9 7 5 7 9 9 7 7 7 9 9 9 9 9 9 5 9 9 9 5 9 9 5 9 9 9 9 9 5 9 5 9 9 9 9 Output: 5 Example 4: Input: 9 3 9 9 3 9 9 9 9 9 9 8 9 3 9 9 9 3 9 9 9 9 9 9 3 9 9 9 9 9 3 9 3 9 9 8 3 9 3 9 3 3 3 9 9 9 9 8 9 8 9 3 8 3 9 9 9 9 9 9 9 9 3 3 3 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 3 9 9 9 9 9 9 9 9 9 3 9 9 9 8 9 9 3 9 9 9 8 9 8 9 9 9 9 9 9 9 9 Output: 8 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 9 2 9 9 9 9 2 9 9 7 9 9 9 9 9 9 7 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 7 9 9 9 9 2 9 9 2 9 9 9 7 9 9 9 2 9 9 9 9 2 2 2 9 9 9 9 7 9 2 9 9 2 7 2 9 9 7 9 9 9 9 9 9 2 2 2 9 9 9 9 9 9 7 9 9 9 2 9 2 9 9 9 7 9 7 9 7 9 9 9 9 2 2 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 2 9 9 7 9 7 9
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "7", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n2 9 5 9 9 9 9 2 9 9 9\n5 9 9 2 9 9 5 5 5 9 9\n9 5 2 9 9 9 5 2 5 2 9\n9 9 5 9 9 9 5 5 5 9 5\n9 9 9 5 9 9 9 9 9 9 9\n5 9 5 9 9 9 9 9 9 9 9\n9 9 9 9 2 9 9 9 9 9 9\n9 9 2 9 9 9 9 5 9 9 9\n9 9 2 5 9 9 9 9 5 9 9\nOutput:\n2\n\nExample 2:\n\nInput:\n8 9 9 8 9 9 3\n9 9 9 9 9 9 9\n8 9 8 9 9 8 9\n9 9 9 3 9 9 8\n9 8 9 9 9 9 9\n9 9 3 3 3 9 9\n9 9 3 8 3 9 9\n9 9 3 3 3 9 8\n8 9 9 9 9 9 9\nOutput:\n8\n\nExample 3:\n\nInput:\n5 9 9 9 5\n9 7 7 7 9\n9 7 5 7 9\n9 7 7 7 9\n9 9 9 9 9\n5 9 9 9 5\n9 9 5 9 9\n9 9 9 5 9\n5 9 9 9 9\nOutput:\n5\n\nExample 4:\n\nInput:\n9 3 9 9 3 9 9 9 9 9 9\n8 9 3 9 9 9 3 9 9 9 9\n9 9 3 9 9 9 9 9 3 9 3\n9 9 8 3 9 3 9 3 3 3 9\n9 9 9 8 9 8 9 3 8 3 9\n9 9 9 9 9 9 9 3 3 3 9\n9 9 9 9 9 9 9 9 9 9 9\n9 8 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 8 9 9 9\n9 3 9 9 9 9 9 9 9 9 9\n3 9 9 9 8 9 9 3 9 9 9\n8 9 8 9 9 9 9 9 9 9 9\nOutput:\n8\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n9 2 9 9 9 9 2 9 9 7 9 9\n9 9 9 9 7 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 7\n9 9 9 9 2 9 9 2 9 9 9 7\n9 9 9 2 9 9 9 9 2 2 2 9\n9 9 9 7 9 2 9 9 2 7 2 9\n9 7 9 9 9 9 9 9 2 2 2 9\n9 9 9 9 9 7 9 9 9 2 9 2\n9 9 9 7 9 7 9 7 9 9 9 9\n2 2 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 2 9 9 7 9 7 9\n", "answer": "7", "metadata": {"source_dataset": "arc_agi", "source_index": 299, "input": [[9, 2, 9, 9, 9, 9, 2, 9, 9, 7, 9, 9], [9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7], [9, 9, 9, 9, 2, 9, 9, 2, 9, 9, 9, 7], [9, 9, 9, 2, 9, 9, 9, 9, 2, 2, 2, 9], [9, 9, 9, 7, 9, 2, 9, 9, 2, 7, 2, 9], [9, 7, 9, 9, 9, 9, 9, 9, 2, 2, 2, 9], [9, 9, 9, 9, 9, 7, 9, 9, 9, 2, 9, 2], [9, 9, 9, 7, 9, 7, 9, 7, 9, 9, 9, 9], [2, 2, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 2, 9, 9, 7, 9, 7, 9]], "output": [[7]], "task_id": "d9fac9be", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 299, "input": [[9, 2, 9, 9, 9, 9, 2, 9, 9, 7, 9, 9], [9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7], [9, 9, 9, 9, 2, 9, 9, 2, 9, 9, 9, 7], [9, 9, 9, 2, 9, 9, 9, 9, 2, 2, 2, 9], [9, 9, 9, 7, 9, 2, 9, 9, 2, 7, 2, 9], [9, 7, 9, 9, 9, 9, 9, 9, 2, 2, 2, 9], [9, 9, 9, 9, 9, 7, 9, 9, 9, 2, 9, 2], [9, 9, 9, 7, 9, 7, 9, 7, 9, 9, 9, 9], [2, 2, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 2, 9, 9, 7, 9, 7, 9]], "output": [[7]], "task_id": "d9fac9be", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}